TSTP Solution File: SWV030+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWV030+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 : n012.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 21:49:46 EDT 2022
% Result : Theorem 2.63s 2.82s
% Output : Proof 2.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 04:38:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.63/2.82 % SZS status Theorem
% 2.63/2.82 (* PROOF-FOUND *)
% 2.63/2.82 (* BEGIN-PROOF *)
% 2.63/2.82 % SZS output start Proof
% 2.63/2.82 1. ((init) != (init)) ### NotEqual
% 2.63/2.82 2. (gt (succ (pv7)) (n0)) (-. (gt (succ (pv7)) (n0))) ### Axiom
% 2.63/2.82 3. (-. (leq (n0) (pv7))) (gt (succ (pv7)) (n0)) ### Definition-Pseudo(leq) 2
% 2.63/2.82 4. (gt (succ (pv19)) (n0)) (-. (gt (succ (pv19)) (n0))) ### Axiom
% 2.63/2.82 5. (-. (leq (n0) (pv19))) (gt (succ (pv19)) (n0)) ### Definition-Pseudo(leq) 4
% 2.63/2.82 6. (gt (succ (pv20)) (n0)) (-. (gt (succ (pv20)) (n0))) ### Axiom
% 2.63/2.82 7. (-. (leq (n0) (pv20))) (gt (succ (pv20)) (n0)) ### Definition-Pseudo(leq) 6
% 2.63/2.82 8. (gt (succ (pv1376)) (n0)) (-. (gt (succ (pv1376)) (n0))) ### Axiom
% 2.63/2.82 9. (-. (leq (n0) (pv1376))) (gt (succ (pv1376)) (n0)) ### Definition-Pseudo(leq) 8
% 2.63/2.82 10. (gt (succ (minus (n410) (n1))) (pv7)) (-. (gt (succ (minus (n410) (n1))) (pv7))) ### Axiom
% 2.63/2.82 11. (-. (leq (pv7) (minus (n410) (n1)))) (gt (succ (minus (n410) (n1))) (pv7)) ### Definition-Pseudo(leq) 10
% 2.63/2.82 12. (gt (succ (minus (n410) (n1))) (pv19)) (-. (gt (succ (minus (n410) (n1))) (pv19))) ### Axiom
% 2.63/2.82 13. (-. (leq (pv19) (minus (n410) (n1)))) (gt (succ (minus (n410) (n1))) (pv19)) ### Definition-Pseudo(leq) 12
% 2.63/2.82 14. (gt (succ (minus (n330) (n1))) (pv20)) (-. (gt (succ (minus (n330) (n1))) (pv20))) ### Axiom
% 2.63/2.82 15. (-. (leq (pv20) (minus (n330) (n1)))) (gt (succ (minus (n330) (n1))) (pv20)) ### Definition-Pseudo(leq) 14
% 2.63/2.82 16. (gt (succ (n3)) (pv1376)) (-. (gt (succ (n3)) (pv1376))) ### Axiom
% 2.63/2.82 17. (-. (leq (pv1376) (n3))) (gt (succ (n3)) (pv1376)) ### Definition-Pseudo(leq) 16
% 2.63/2.82 18. (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (-. (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init))))))) ### Axiom
% 2.63/2.82 19. (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (-. (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))) ### Axiom
% 2.63/2.82 20. (-. (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))))))))))))) (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (n3)) (pv1376)) (gt (succ (minus (n330) (n1))) (pv20)) (gt (succ (minus (n410) (n1))) (pv19)) (gt (succ (minus (n410) (n1))) (pv7)) (gt (succ (pv1376)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv7)) (n0)) ### DisjTree 1 3 5 7 9 11 13 15 17 18 19
% 2.63/2.82 21. (leq (pv1376) (n3)) (gt (succ (pv7)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv1376)) (n0)) (gt (succ (minus (n410) (n1))) (pv7)) (gt (succ (minus (n410) (n1))) (pv19)) (gt (succ (minus (n330) (n1))) (pv20)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (-. (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))))))))))))) ### Definition-Pseudo(leq) 20
% 2.63/2.82 22. (leq (pv20) (minus (n330) (n1))) (-. (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))))))))))))) (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (minus (n410) (n1))) (pv19)) (gt (succ (minus (n410) (n1))) (pv7)) (gt (succ (pv1376)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv7)) (n0)) (leq (pv1376) (n3)) ### Definition-Pseudo(leq) 21
% 2.63/2.82 23. (leq (pv19) (minus (n410) (n1))) (leq (pv1376) (n3)) (gt (succ (pv7)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv1376)) (n0)) (gt (succ (minus (n410) (n1))) (pv7)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (-. (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))))))))))))) (leq (pv20) (minus (n330) (n1))) ### Definition-Pseudo(leq) 22
% 2.63/2.82 24. (leq (pv7) (minus (n410) (n1))) (leq (pv20) (minus (n330) (n1))) (-. (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))))))))))))) (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (pv1376)) (n0)) (gt (succ (pv20)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv7)) (n0)) (leq (pv1376) (n3)) (leq (pv19) (minus (n410) (n1))) ### Definition-Pseudo(leq) 23
% 2.63/2.82 25. (leq (n0) (pv1376)) (leq (pv19) (minus (n410) (n1))) (leq (pv1376) (n3)) (gt (succ (pv7)) (n0)) (gt (succ (pv19)) (n0)) (gt (succ (pv20)) (n0)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (-. (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))))))))))))) (leq (pv20) (minus (n330) (n1))) (leq (pv7) (minus (n410) (n1))) ### Definition-Pseudo(leq) 24
% 2.63/2.82 26. (leq (n0) (pv20)) (leq (pv7) (minus (n410) (n1))) (leq (pv20) (minus (n330) (n1))) (-. (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))))))))))))) (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (gt (succ (pv19)) (n0)) (gt (succ (pv7)) (n0)) (leq (pv1376) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (n0) (pv1376)) ### Definition-Pseudo(leq) 25
% 2.63/2.82 27. (leq (n0) (pv19)) (leq (n0) (pv1376)) (leq (pv19) (minus (n410) (n1))) (leq (pv1376) (n3)) (gt (succ (pv7)) (n0)) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (-. (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))))))))))))) (leq (pv20) (minus (n330) (n1))) (leq (pv7) (minus (n410) (n1))) (leq (n0) (pv20)) ### Definition-Pseudo(leq) 26
% 2.63/2.82 28. (leq (n0) (pv7)) (leq (n0) (pv20)) (leq (pv7) (minus (n410) (n1))) (leq (pv20) (minus (n330) (n1))) (-. (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init))))))))))))))) (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))) (All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) (leq (pv1376) (n3)) (leq (pv19) (minus (n410) (n1))) (leq (n0) (pv1376)) (leq (n0) (pv19)) ### Definition-Pseudo(leq) 27
% 2.63/2.82 29. (-. ((((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))))))))))))) => (((init) = (init)) /\ ((leq (n0) (pv7)) /\ ((leq (n0) (pv19)) /\ ((leq (n0) (pv20)) /\ ((leq (n0) (pv1376)) /\ ((leq (pv7) (minus (n410) (n1))) /\ ((leq (pv19) (minus (n410) (n1))) /\ ((leq (pv20) (minus (n330) (n1))) /\ ((leq (pv1376) (n3)) /\ ((All A, (((leq (n0) A) /\ (leq A (n2))) => (All B, (((leq (n0) B) /\ (leq B (n3))) => ((a_select3 (simplex7_init) B A) = (init)))))) /\ (All C, (((leq (n0) C) /\ (leq C (minus (pv1376) (n1)))) => ((a_select2 (s_values7_init) C) = (init)))))))))))))))) ### ConjTree 28
% 2.63/2.82 % SZS output end Proof
% 2.63/2.82 (* END-PROOF *)
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