Proof Step: c_0_24

name: c_0_24 syntax: thf role: negated_conjecture inference: evalgc

Proof State Overview

proof_step c_0_1 c_0_1 c_0_18 ⊖ member_msg mPair x y synth analz h ⊖ member_msg x synth analz h ⊖ member_msg y synth analz h c_0_1->c_0_18 c_0_24 ⊖ member_msg x synth analz h ⊖ member_msg y synth analz h ⊖ member_msg mPair x y synth analz h c_0_18->c_0_24 c_0_31 ⊖ member_msg mPair x y synth analz h ⊖ member_msg x synth analz h ⊖ member_msg y synth analz h c_0_24->c_0_31

Input Dependencies

c_0_1

Assumptions

c_0_18

Conclusion

c_0_24

Dependents

c_0_31

Formula

( ~ ( member_msg @ x @ ( synth @ ( analz @ h ) ) )
| ~ ( member_msg @ y @ ( synth @ ( analz @ h ) ) )
| ~ ( member_msg @ ( mPair @ x @ y ) @ ( synth @ ( analz @ h ) ) ) )

Source

inference(evalgc,[status(thm)],[c_0_18])