TSTP Solution File: HWV095+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : HWV095+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 : n013.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 19:19:30 EDT 2022

% Result   : Theorem 31.04s 31.26s
% Output   : Proof 31.04s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : HWV095+1 : TPTP v8.1.0. Released v6.1.0.
% 0.04/0.14  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.35  % Computer : n013.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 : Fri Jun 17 09:44:59 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 31.04/31.26  % SZS status Theorem
% 31.04/31.26  (* PROOF-FOUND *)
% 31.04/31.26  (* BEGIN-PROOF *)
% 31.04/31.26  % SZS output start Proof
% 31.04/31.26  1. (-. (v998 T_0)) (v998 T_0)   ### Axiom
% 31.04/31.26  2. (-. (-. (v998 T_0))) (-. (v998 T_0))   ### NotNot 1
% 31.04/31.26  3. (v999 T_0) (-. (v999 T_0))   ### Axiom
% 31.04/31.26  4. (v1000 T_0 (bitIndex0)) (-. (v1000 T_0 (bitIndex0)))   ### Axiom
% 31.04/31.26  5. (v1007 T_0 (bitIndex5)) (-. (v1007 T_0 (bitIndex5)))   ### Axiom
% 31.04/31.26  6. (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (v1007 T_0 (bitIndex5))   ### All 5
% 31.04/31.26  7. ((v1003 T_0) /\ (v1007 T_0 (bitIndex5))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5))))   ### And 6
% 31.04/31.26  8. (v1001 T_0) (All VarCurr, (-. (v1007 VarCurr (bitIndex5))))   ### Definition-Pseudo(v1001) 7
% 31.04/31.26  9. ((v1000 T_0 (bitIndex0)) <=> (v1001 T_0)) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (v1000 T_0 (bitIndex0))   ### Equiv 4 8
% 31.04/31.26  10. (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (v1000 T_0 (bitIndex0)) (All VarCurr, (-. (v1007 VarCurr (bitIndex5))))   ### All 9
% 31.04/31.26  11. ((v1000 T_0 (bitIndex0)) /\ (v1000 T_0 (bitIndex1))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr)))   ### And 10
% 31.04/31.26  12. ((v999 T_0) <=> ((v1000 T_0 (bitIndex0)) /\ (v1000 T_0 (bitIndex1)))) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (v999 T_0)   ### Equiv 3 11
% 31.04/31.26  13. (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (v999 T_0) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr)))   ### All 12
% 31.04/31.26  14. ((-. (v998 T_0)) <=> (v999 T_0)) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (-. (v998 T_0))   ### Equiv 2 13
% 31.04/31.26  15. (All VarCurr, ((-. (v998 VarCurr)) <=> (v999 VarCurr))) (-. (v998 T_0)) (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr)))   ### All 14
% 31.04/31.26  16. (-. True)   ### NotTrue
% 31.04/31.26  17. (-. (v1000 T_0 (bitIndex1))) (v1000 T_0 (bitIndex1))   ### Axiom
% 31.04/31.26  18. ((v1000 T_0 (bitIndex1)) <=> True) (-. (v1000 T_0 (bitIndex1)))   ### Equiv 16 17
% 31.04/31.26  19. (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True)) (-. (v1000 T_0 (bitIndex1)))   ### All 18
% 31.04/31.26  20. (-. ((v1000 T_0 (bitIndex0)) \/ (v1000 T_0 (bitIndex1)))) (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True))   ### NotOr 19
% 31.04/31.26  21. (-. (v1010 T_0)) (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True))   ### Definition-Pseudo(v1010) 20
% 31.04/31.26  22. (-. ((v998 T_0) /\ (v1010 T_0))) (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (All VarCurr, ((-. (v998 VarCurr)) <=> (v999 VarCurr)))   ### NotAnd 15 21
% 31.04/31.26  23. (-. (v996 T_0)) (v996 T_0)   ### Axiom
% 31.04/31.26  24. ((v996 T_0) <=> ((v998 T_0) /\ (v1010 T_0))) (-. (v996 T_0)) (All VarCurr, ((-. (v998 VarCurr)) <=> (v999 VarCurr))) (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True))   ### Equiv 22 23
% 31.04/31.26  25. (All VarCurr, ((v996 VarCurr) <=> ((v998 VarCurr) /\ (v1010 VarCurr)))) (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (All VarCurr, ((-. (v998 VarCurr)) <=> (v999 VarCurr))) (-. (v996 T_0))   ### All 24
% 31.04/31.26  26. (-. (v4 T_0)) (v4 T_0)   ### Axiom
% 31.04/31.26  27. (-. (-. (v4 T_0))) (-. (v4 T_0))   ### NotNot 26
% 31.04/31.26  28. (-. (v995 T_0)) (-. (v4 T_0))   ### Definition-Pseudo(v995) 27
% 31.04/31.26  29. ((-. (v995 T_0)) <=> (v996 T_0)) (-. (v4 T_0)) (All VarCurr, ((-. (v998 VarCurr)) <=> (v999 VarCurr))) (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v996 VarCurr) <=> ((v998 VarCurr) /\ (v1010 VarCurr))))   ### Equiv 25 28
% 31.04/31.26  30. (All VarCurr, ((-. (v995 VarCurr)) <=> (v996 VarCurr))) (All VarCurr, ((v996 VarCurr) <=> ((v998 VarCurr) /\ (v1010 VarCurr)))) (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (All VarCurr, ((-. (v998 VarCurr)) <=> (v999 VarCurr))) (-. (v4 T_0))   ### All 29
% 31.04/31.26  31. (-. ((reachableState T_0) => (v4 T_0))) (All VarCurr, ((-. (v998 VarCurr)) <=> (v999 VarCurr))) (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v996 VarCurr) <=> ((v998 VarCurr) /\ (v1010 VarCurr)))) (All VarCurr, ((-. (v995 VarCurr)) <=> (v996 VarCurr)))   ### NotImply 30
% 31.04/31.26  32. (-. (All VarCurr, ((reachableState VarCurr) => (v4 VarCurr)))) (All VarCurr, ((-. (v995 VarCurr)) <=> (v996 VarCurr))) (All VarCurr, ((v996 VarCurr) <=> ((v998 VarCurr) /\ (v1010 VarCurr)))) (All VarCurr, ((v1000 VarCurr (bitIndex1)) <=> True)) (All VarCurr, ((v1000 VarCurr (bitIndex0)) <=> (v1001 VarCurr))) (All VarCurr, (-. (v1007 VarCurr (bitIndex5)))) (All VarCurr, ((v999 VarCurr) <=> ((v1000 VarCurr (bitIndex0)) /\ (v1000 VarCurr (bitIndex1))))) (All VarCurr, ((-. (v998 VarCurr)) <=> (v999 VarCurr)))   ### NotAllEx 31
% 31.04/31.26  % SZS output end Proof
% 31.04/31.26  (* END-PROOF *)
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