TSTP Solution File: SWV165+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWV165+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n025.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 : Wed Jul 20 21:50:13 EDT 2022
% Result : Theorem 8.20s 8.45s
% Output : Proof 8.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV165+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 11:43:40 EDT 2022
% 0.14/0.36 % CPUTime :
% 8.20/8.45 % SZS status Theorem
% 8.20/8.45 (* PROOF-FOUND *)
% 8.20/8.45 (* BEGIN-PROOF *)
% 8.20/8.45 % SZS output start Proof
% 8.20/8.45 1. (gt (succ T_0) (n0)) (-. (gt (succ T_0) (n0))) ### Axiom
% 8.20/8.45 2. (-. (leq (n0) T_0)) (gt (succ T_0) (n0)) ### Definition-Pseudo(leq) 1
% 8.20/8.45 3. ((succ (succ (n0))) = (n2)) ((n2) != (succ (succ (n0)))) ### Sym(=)
% 8.20/8.45 4. ((succ (n2)) != (succ (succ (succ (n0))))) ((succ (succ (n0))) = (n2)) ### NotEqual 3
% 8.20/8.45 5. ((n3) != (n3)) ### NotEqual
% 8.20/8.45 6. ((succ (tptp_minus_1)) = (n0)) ((n0) != (succ (tptp_minus_1))) ### Sym(=)
% 8.20/8.45 7. (-. (gt (n3) (succ (tptp_minus_1)))) (gt (n3) (n0)) ((succ (tptp_minus_1)) = (n0)) ### Trans 5 6
% 8.20/8.45 8. (-. (gt (succ (n2)) (succ (tptp_minus_1)))) ((succ (succ (succ (n0)))) = (n3)) ((succ (tptp_minus_1)) = (n0)) (gt (n3) (n0)) ((succ (succ (n0))) = (n2)) ### TransEq 4 7 7
% 8.20/8.45 9. (T_0 != T_0) ### Refl(=)
% 8.20/8.45 10. (-. (gt (succ (n2)) T_0)) (gt (succ (tptp_minus_1)) T_0) ((succ (succ (n0))) = (n2)) (gt (n3) (n0)) ((succ (tptp_minus_1)) = (n0)) ((succ (succ (succ (n0)))) = (n3)) ### Trans 8 9
% 8.20/8.45 11. (-. (leq T_0 (n2))) ((succ (succ (succ (n0)))) = (n3)) ((succ (tptp_minus_1)) = (n0)) (gt (n3) (n0)) ((succ (succ (n0))) = (n2)) (gt (succ (tptp_minus_1)) T_0) ### Definition-Pseudo(leq) 10
% 8.20/8.45 12. (T_0 != (n0)) (T_0 = (n0)) ### Axiom
% 8.20/8.45 13. (T_0 != (n1)) (T_0 = (n1)) ### Axiom
% 8.20/8.45 14. (T_0 != (n2)) (T_0 = (n2)) ### Axiom
% 8.20/8.45 15. (((leq (n0) T_0) /\ (leq T_0 (n2))) => ((T_0 = (n0)) \/ ((T_0 = (n1)) \/ (T_0 = (n2))))) (T_0 != (n2)) (T_0 != (n1)) (T_0 != (n0)) (gt (succ (tptp_minus_1)) T_0) ((succ (succ (n0))) = (n2)) (gt (n3) (n0)) ((succ (tptp_minus_1)) = (n0)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ T_0) (n0)) ### DisjTree 2 11 12 13 14
% 8.20/8.45 16. (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ T_0) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (tptp_minus_1)) = (n0)) (gt (n3) (n0)) ((succ (succ (n0))) = (n2)) (gt (succ (tptp_minus_1)) T_0) (T_0 != (n0)) (T_0 != (n1)) (T_0 != (n2)) ### All 15
% 8.20/8.45 17. ((succ (tptp_minus_1)) = (n0)) ((succ (tptp_minus_1)) != (n0)) ### Axiom
% 8.20/8.45 18. ((succ (tptp_minus_1)) != (succ (tptp_minus_1))) ### Refl(=)
% 8.20/8.45 19. (-. (gt (succ (tptp_minus_1)) (n0))) (T_0 != (n2)) (T_0 != (n1)) (gt (succ (tptp_minus_1)) T_0) ((succ (succ (n0))) = (n2)) (gt (n3) (n0)) ((succ (tptp_minus_1)) = (n0)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ### Trans 18 16
% 8.20/8.45 20. ((succ (tptp_minus_1)) != (succ (tptp_minus_1))) ### Refl(=)
% 8.20/8.45 21. (-. (gt (succ (tptp_minus_1)) (succ (tptp_minus_1)))) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ T_0) (n0)) ((succ (succ (succ (n0)))) = (n3)) (gt (n3) (n0)) ((succ (succ (n0))) = (n2)) (gt (succ (tptp_minus_1)) T_0) (T_0 != (n1)) (T_0 != (n2)) ((succ (tptp_minus_1)) = (n0)) ### TransEq2 17 19 20
% 8.20/8.45 22. ((succ (tptp_minus_1)) != (succ (tptp_minus_1))) ### Refl(=)
% 8.20/8.45 23. (-. (gt T_0 (succ (tptp_minus_1)))) (T_0 != (n2)) (T_0 != (n1)) (gt (succ (tptp_minus_1)) T_0) ((succ (succ (n0))) = (n2)) (gt (n3) (n0)) ((succ (tptp_minus_1)) = (n0)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ### TransEq2 16 21 22
% 8.20/8.45 24. ((succ (n0)) != (succ (n0))) ### Refl(=)
% 8.20/8.45 25. ((n1) != (n1)) ### NotEqual
% 8.20/8.45 26. ((succ (tptp_minus_1)) = (n0)) ((n0) != (succ (tptp_minus_1))) ### Sym(=)
% 8.20/8.45 27. (-. (gt (n1) (succ (tptp_minus_1)))) (gt (n1) (n0)) ((succ (tptp_minus_1)) = (n0)) ### Trans 25 26
% 8.20/8.45 28. (-. (gt (succ (n0)) (succ (tptp_minus_1)))) ((succ (n0)) = (n1)) ((succ (tptp_minus_1)) = (n0)) (gt (n1) (n0)) ### TransEq 24 27 27
% 8.20/8.45 29. (gt (n1) (n0)) ((succ (n0)) = (n1)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ T_0) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (tptp_minus_1)) = (n0)) (gt (n3) (n0)) ((succ (succ (n0))) = (n2)) (gt (succ (tptp_minus_1)) T_0) (T_0 != (n2)) (-. (gt T_0 (succ (tptp_minus_1)))) ### TransEq2 23 28 28
% 8.20/8.45 30. ((succ (succ (n0))) != (succ (succ (n0)))) ### Refl(=)
% 8.20/8.45 31. ((n2) != (n2)) ### NotEqual
% 8.20/8.45 32. ((succ (tptp_minus_1)) = (n0)) ((n0) != (succ (tptp_minus_1))) ### Sym(=)
% 8.20/8.45 33. (-. (gt (n2) (succ (tptp_minus_1)))) (gt (n2) (n0)) ((succ (tptp_minus_1)) = (n0)) ### Trans 31 32
% 8.20/8.45 34. (-. (gt (succ (succ (n0))) (succ (tptp_minus_1)))) ((succ (succ (n0))) = (n2)) ((succ (tptp_minus_1)) = (n0)) (gt (n2) (n0)) ### TransEq 30 33 33
% 8.20/8.45 35. (gt (n2) (n0)) (-. (gt T_0 (succ (tptp_minus_1)))) (gt (succ (tptp_minus_1)) T_0) ((succ (succ (n0))) = (n2)) (gt (n3) (n0)) ((succ (tptp_minus_1)) = (n0)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((succ (n0)) = (n1)) (gt (n1) (n0)) ### TransEq2 29 34 34
% 8.20/8.45 36. (T_0 != T_0) ### Refl(=)
% 8.20/8.45 37. (-. (gt T_0 T_0)) (gt (n1) (n0)) ((succ (n0)) = (n1)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ T_0) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (tptp_minus_1)) = (n0)) (gt (n3) (n0)) ((succ (succ (n0))) = (n2)) (gt (succ (tptp_minus_1)) T_0) (gt (n2) (n0)) ### Trans 35 36
% 8.20/8.45 38. (All X, (-. (gt X X))) (gt (n2) (n0)) (gt (succ (tptp_minus_1)) T_0) ((succ (succ (n0))) = (n2)) (gt (n3) (n0)) ((succ (tptp_minus_1)) = (n0)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((succ (n0)) = (n1)) (gt (n1) (n0)) ### All 37
% 8.20/8.45 39. (leq T_0 (tptp_minus_1)) (gt (n1) (n0)) ((succ (n0)) = (n1)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ T_0) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (tptp_minus_1)) = (n0)) (gt (n3) (n0)) ((succ (succ (n0))) = (n2)) (gt (n2) (n0)) (All X, (-. (gt X X))) ### Definition-Pseudo(leq) 38
% 8.20/8.45 40. (leq (n0) T_0) (All X, (-. (gt X X))) (gt (n2) (n0)) ((succ (succ (n0))) = (n2)) (gt (n3) (n0)) ((succ (tptp_minus_1)) = (n0)) ((succ (succ (succ (n0)))) = (n3)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((succ (n0)) = (n1)) (gt (n1) (n0)) (leq T_0 (tptp_minus_1)) ### Definition-Pseudo(leq) 39
% 8.20/8.45 41. (-. (((leq (n0) T_0) /\ (leq T_0 (tptp_minus_1))) => ((uninit) = (init)))) (gt (n1) (n0)) ((succ (n0)) = (n1)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((succ (succ (succ (n0)))) = (n3)) ((succ (tptp_minus_1)) = (n0)) (gt (n3) (n0)) ((succ (succ (n0))) = (n2)) (gt (n2) (n0)) (All X, (-. (gt X X))) ### ConjTree 40
% 8.20/8.45 42. (-. (All A, (((leq (n0) A) /\ (leq A (tptp_minus_1))) => ((uninit) = (init))))) (All X, (-. (gt X X))) (gt (n2) (n0)) ((succ (succ (n0))) = (n2)) (gt (n3) (n0)) ((succ (tptp_minus_1)) = (n0)) ((succ (succ (succ (n0)))) = (n3)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((succ (n0)) = (n1)) (gt (n1) (n0)) ### NotAllEx 41
% 8.20/8.45 % SZS output end Proof
% 8.20/8.45 (* END-PROOF *)
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