TSTP Solution File: HWV089+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : HWV089+1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 19:19:25 EDT 2022
% Result : Theorem 2.13s 2.35s
% Output : Proof 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HWV089+1 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 22:25:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 2.13/2.35 % SZS status Theorem
% 2.13/2.35 (* PROOF-FOUND *)
% 2.13/2.35 (* BEGIN-PROOF *)
% 2.13/2.35 % SZS output start Proof
% 2.13/2.35 1. (-. (v3677 T_0)) (v3677 T_0) ### Axiom
% 2.13/2.35 2. (-. (-. (v3677 T_0))) (-. (v3677 T_0)) ### NotNot 1
% 2.13/2.35 3. (v3678 T_0) (-. (v3678 T_0)) ### Axiom
% 2.13/2.35 4. (v3679 T_0 (bitIndex0)) (-. (v3679 T_0 (bitIndex0))) ### Axiom
% 2.13/2.35 5. (v3684 T_0 (bitIndex5)) (-. (v3684 T_0 (bitIndex5))) ### Axiom
% 2.13/2.35 6. (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (v3684 T_0 (bitIndex5)) ### All 5
% 2.13/2.35 7. ((v3682 T_0) /\ (v3684 T_0 (bitIndex5))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) ### And 6
% 2.13/2.35 8. (v3680 T_0) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) ### Definition-Pseudo(v3680) 7
% 2.13/2.35 9. ((v3679 T_0 (bitIndex0)) <=> (v3680 T_0)) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (v3679 T_0 (bitIndex0)) ### Equiv 4 8
% 2.13/2.35 10. (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (v3679 T_0 (bitIndex0)) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) ### All 9
% 2.13/2.35 11. ((v3679 T_0 (bitIndex0)) /\ (v3679 T_0 (bitIndex1))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) ### And 10
% 2.13/2.35 12. ((v3678 T_0) <=> ((v3679 T_0 (bitIndex0)) /\ (v3679 T_0 (bitIndex1)))) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (v3678 T_0) ### Equiv 3 11
% 2.13/2.35 13. (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (v3678 T_0) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) ### All 12
% 2.13/2.35 14. ((-. (v3677 T_0)) <=> (v3678 T_0)) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (-. (v3677 T_0)) ### Equiv 2 13
% 2.13/2.35 15. (All VarCurr, ((-. (v3677 VarCurr)) <=> (v3678 VarCurr))) (-. (v3677 T_0)) (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) ### All 14
% 2.13/2.35 16. (-. True) ### NotTrue
% 2.13/2.35 17. (-. (v3679 T_0 (bitIndex1))) (v3679 T_0 (bitIndex1)) ### Axiom
% 2.13/2.35 18. ((v3679 T_0 (bitIndex1)) <=> True) (-. (v3679 T_0 (bitIndex1))) ### Equiv 16 17
% 2.13/2.35 19. (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) (-. (v3679 T_0 (bitIndex1))) ### All 18
% 2.13/2.35 20. (-. ((v3679 T_0 (bitIndex0)) \/ (v3679 T_0 (bitIndex1)))) (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) ### NotOr 19
% 2.13/2.35 21. (-. (v3693 T_0)) (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) ### Definition-Pseudo(v3693) 20
% 2.13/2.35 22. (-. ((v3677 T_0) /\ (v3693 T_0))) (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (All VarCurr, ((-. (v3677 VarCurr)) <=> (v3678 VarCurr))) ### NotAnd 15 21
% 2.13/2.35 23. (-. (v3675 T_0)) (v3675 T_0) ### Axiom
% 2.13/2.35 24. ((v3675 T_0) <=> ((v3677 T_0) /\ (v3693 T_0))) (-. (v3675 T_0)) (All VarCurr, ((-. (v3677 VarCurr)) <=> (v3678 VarCurr))) (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) ### Equiv 22 23
% 2.13/2.35 25. (All VarCurr, ((v3675 VarCurr) <=> ((v3677 VarCurr) /\ (v3693 VarCurr)))) (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (All VarCurr, ((-. (v3677 VarCurr)) <=> (v3678 VarCurr))) (-. (v3675 T_0)) ### All 24
% 2.13/2.35 26. (-. (v4 T_0)) (v4 T_0) ### Axiom
% 2.13/2.35 27. (-. (-. (v4 T_0))) (-. (v4 T_0)) ### NotNot 26
% 2.13/2.35 28. (-. (v3674 T_0)) (-. (v4 T_0)) ### Definition-Pseudo(v3674) 27
% 2.13/2.35 29. ((-. (v3674 T_0)) <=> (v3675 T_0)) (-. (v4 T_0)) (All VarCurr, ((-. (v3677 VarCurr)) <=> (v3678 VarCurr))) (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v3675 VarCurr) <=> ((v3677 VarCurr) /\ (v3693 VarCurr)))) ### Equiv 25 28
% 2.13/2.35 30. (All VarCurr, ((-. (v3674 VarCurr)) <=> (v3675 VarCurr))) (All VarCurr, ((v3675 VarCurr) <=> ((v3677 VarCurr) /\ (v3693 VarCurr)))) (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (All VarCurr, ((-. (v3677 VarCurr)) <=> (v3678 VarCurr))) (-. (v4 T_0)) ### All 29
% 2.13/2.35 31. (-. ((reachableState T_0) => (v4 T_0))) (All VarCurr, ((-. (v3677 VarCurr)) <=> (v3678 VarCurr))) (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v3675 VarCurr) <=> ((v3677 VarCurr) /\ (v3693 VarCurr)))) (All VarCurr, ((-. (v3674 VarCurr)) <=> (v3675 VarCurr))) ### NotImply 30
% 2.13/2.35 32. (-. (All VarCurr, ((reachableState VarCurr) => (v4 VarCurr)))) (All VarCurr, ((-. (v3674 VarCurr)) <=> (v3675 VarCurr))) (All VarCurr, ((v3675 VarCurr) <=> ((v3677 VarCurr) /\ (v3693 VarCurr)))) (All VarCurr, ((v3679 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v3679 VarCurr (bitIndex0)) <=> (v3680 VarCurr))) (All VarCurr, (-. (v3684 VarCurr (bitIndex5)))) (All VarCurr, ((v3678 VarCurr) <=> ((v3679 VarCurr (bitIndex0)) /\ (v3679 VarCurr (bitIndex1))))) (All VarCurr, ((-. (v3677 VarCurr)) <=> (v3678 VarCurr))) ### NotAllEx 31
% 2.13/2.35 % SZS output end Proof
% 2.13/2.35 (* END-PROOF *)
%------------------------------------------------------------------------------