%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV205+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 : n005.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 21:50:21 EDT 2022 % Result : Theorem 7.07s 7.26s % Output : Proof 7.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWV205+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.04/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n005.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 15 23:41:54 EDT 2022 % 0.13/0.34 % CPUTime : % 7.07/7.26 % SZS status Theorem % 7.07/7.26 (* PROOF-FOUND *) % 7.07/7.26 (* BEGIN-PROOF *) % 7.07/7.26 % SZS output start Proof % 7.07/7.26 1. ((sigma_defuse) != (sigma_defuse)) ### NotEqual % 7.07/7.26 2. (gt (succ T_0) (n0)) (-. (gt (succ T_0) (n0))) ### Axiom % 7.07/7.26 3. (-. (leq (n0) T_0)) (gt (succ T_0) (n0)) ### Definition-Pseudo(leq) 2 % 7.07/7.26 4. (gt (succ (n5)) T_0) (-. (gt (succ (n5)) T_0)) ### Axiom % 7.07/7.26 5. (-. (leq T_0 (n5))) (gt (succ (n5)) T_0) ### Definition-Pseudo(leq) 4 % 7.07/7.26 6. (T_0 != (n0)) (T_0 = (n0)) ### Axiom % 7.07/7.26 7. (T_0 != (n1)) (T_0 = (n1)) ### Axiom % 7.07/7.26 8. (T_0 != (n2)) (T_0 = (n2)) ### Axiom % 7.07/7.26 9. (T_0 != (n3)) (T_0 = (n3)) ### Axiom % 7.07/7.26 10. (T_0 != (n4)) (T_0 = (n4)) ### Axiom % 7.07/7.26 11. (T_0 != (n5)) (T_0 = (n5)) ### Axiom % 7.07/7.26 12. (((leq (n0) T_0) /\ (leq T_0 (n5))) => ((T_0 = (n0)) \/ ((T_0 = (n1)) \/ ((T_0 = (n2)) \/ ((T_0 = (n3)) \/ ((T_0 = (n4)) \/ (T_0 = (n5)))))))) (T_0 != (n5)) (T_0 != (n4)) (T_0 != (n3)) (T_0 != (n2)) (T_0 != (n1)) (T_0 != (n0)) (gt (succ (n5)) T_0) (gt (succ T_0) (n0)) ### DisjTree 3 5 6 7 8 9 10 11 % 7.07/7.26 13. (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) (gt (succ T_0) (n0)) (gt (succ (n5)) T_0) (T_0 != (n0)) (T_0 != (n1)) (T_0 != (n2)) (T_0 != (n3)) (T_0 != (n4)) (T_0 != (n5)) ### All 12 % 7.07/7.26 14. ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n0))) (T_0 != (n5)) (T_0 != (n4)) (T_0 != (n3)) (T_0 != (n2)) (T_0 != (n1)) (gt (succ (n5)) T_0) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ### NotEqual 1 13 % 7.07/7.26 15. ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n1))) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) (gt (succ T_0) (n0)) (gt (succ (n5)) T_0) (T_0 != (n2)) (T_0 != (n3)) (T_0 != (n4)) (T_0 != (n5)) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n0))) ### NotEqual 1 14 % 7.07/7.26 16. ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n2))) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n0))) (T_0 != (n5)) (T_0 != (n4)) (T_0 != (n3)) (gt (succ (n5)) T_0) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n1))) ### NotEqual 1 15 % 7.07/7.26 17. ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n3))) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n1))) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) (gt (succ T_0) (n0)) (gt (succ (n5)) T_0) (T_0 != (n4)) (T_0 != (n5)) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n0))) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n2))) ### NotEqual 1 16 % 7.07/7.26 18. ((use) != (use)) ### NotEqual % 7.07/7.26 19. ((a_select2 (sigma_defuse) T_0) != (use)) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n2))) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n0))) (T_0 != (n5)) (T_0 != (n4)) (gt (succ (n5)) T_0) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n1))) ### Trans 17 18 % 7.07/7.26 20. ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n1))) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) (gt (succ T_0) (n0)) (gt (succ (n5)) T_0) (T_0 != (n4)) (T_0 != (n5)) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n0))) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) T_0) != (use)) ### Trans 19 18 % 7.07/7.26 21. ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) T_0) != (use)) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n0))) (T_0 != (n5)) (T_0 != (n4)) (gt (succ (n5)) T_0) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ((a_select2 (sigma_defuse) (n2)) = (use)) ### Trans 20 18 % 7.07/7.26 22. ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n2)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) (gt (succ T_0) (n0)) (gt (succ (n5)) T_0) (T_0 != (n4)) (T_0 != (n5)) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) T_0) != (use)) ((a_select2 (sigma_defuse) (n1)) = (use)) ### Trans 21 18 % 7.07/7.26 23. ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n5))) ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) T_0) != (use)) ((a_select2 (sigma_defuse) (n3)) = (use)) (T_0 != (n4)) (gt (succ (n5)) T_0) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ### NotEqual 1 22 % 7.07/7.26 24. ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n2)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) (gt (succ T_0) (n0)) (gt (succ (n5)) T_0) (T_0 != (n4)) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) T_0) != (use)) ((a_select2 (sigma_defuse) (n1)) = (use)) ### Trans 23 18 % 7.07/7.26 25. ((a_select2 (sigma_defuse) T_0) != (a_select2 (sigma_defuse) (n4))) ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) T_0) != (use)) ((a_select2 (sigma_defuse) (n3)) = (use)) (gt (succ (n5)) T_0) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n5)) = (use)) ### NotEqual 1 24 % 7.07/7.26 26. ((a_select2 (sigma_defuse) (n4)) = (use)) ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n2)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) (gt (succ T_0) (n0)) (gt (succ (n5)) T_0) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) T_0) != (use)) ((a_select2 (sigma_defuse) (n1)) = (use)) ### Trans 25 18 % 7.07/7.26 27. (leq T_0 (n5)) ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) T_0) != (use)) ((a_select2 (sigma_defuse) (n3)) = (use)) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n4)) = (use)) ### Definition-Pseudo(leq) 26 % 7.07/7.26 28. (leq (n0) T_0) ((a_select2 (sigma_defuse) (n4)) = (use)) ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n2)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) T_0) != (use)) ((a_select2 (sigma_defuse) (n1)) = (use)) (leq T_0 (n5)) ### Definition-Pseudo(leq) 27 % 7.07/7.26 29. (-. (((leq (n0) T_0) /\ (leq T_0 (n5))) => ((a_select2 (sigma_defuse) T_0) = (use)))) ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) (n3)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n4)) = (use)) ### ConjTree 28 % 7.07/7.26 30. (-. (All E, (((leq (n0) E) /\ (leq E (n5))) => ((a_select2 (sigma_defuse) E) = (use))))) ((a_select2 (sigma_defuse) (n4)) = (use)) ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n2)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) (n1)) = (use)) ### NotAllEx 29 % 7.07/7.26 31. (-. ((((a_select2 (rho_defuse) (n0)) = (use)) /\ (((a_select2 (rho_defuse) (n1)) = (use)) /\ (((a_select2 (rho_defuse) (n2)) = (use)) /\ (((a_select2 (sigma_defuse) (n0)) = (use)) /\ (((a_select2 (sigma_defuse) (n1)) = (use)) /\ (((a_select2 (sigma_defuse) (n2)) = (use)) /\ (((a_select2 (sigma_defuse) (n3)) = (use)) /\ (((a_select2 (sigma_defuse) (n4)) = (use)) /\ (((a_select2 (sigma_defuse) (n5)) = (use)) /\ (((a_select3 (u_defuse) (n0) (n0)) = (use)) /\ (((a_select3 (u_defuse) (n1) (n0)) = (use)) /\ (((a_select3 (u_defuse) (n2) (n0)) = (use)) /\ (((a_select2 (xinit_defuse) (n3)) = (use)) /\ (((a_select2 (xinit_defuse) (n4)) = (use)) /\ (((a_select2 (xinit_defuse) (n5)) = (use)) /\ (((a_select2 (xinit_mean_defuse) (n0)) = (use)) /\ (((a_select2 (xinit_mean_defuse) (n1)) = (use)) /\ (((a_select2 (xinit_mean_defuse) (n2)) = (use)) /\ (((a_select2 (xinit_mean_defuse) (n3)) = (use)) /\ (((a_select2 (xinit_mean_defuse) (n4)) = (use)) /\ (((a_select2 (xinit_mean_defuse) (n5)) = (use)) /\ (((a_select2 (xinit_noise_defuse) (n0)) = (use)) /\ (((a_select2 (xinit_noise_defuse) (n1)) = (use)) /\ (((a_select2 (xinit_noise_defuse) (n2)) = (use)) /\ (((a_select2 (xinit_noise_defuse) (n3)) = (use)) /\ (((a_select2 (xinit_noise_defuse) (n4)) = (use)) /\ (((a_select2 (xinit_noise_defuse) (n5)) = (use)) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (n998))))) => ((a_select3 (u_defuse) A B) = (use))))) /\ (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (n998))))) => ((a_select3 (z_defuse) C D) = (use))))))))))))))))))))))))))))))))) => (All E, (((leq (n0) E) /\ (leq E (n5))) => ((a_select2 (sigma_defuse) E) = (use)))))) (All X, (((leq (n0) X) /\ (leq X (n5))) => ((X = (n0)) \/ ((X = (n1)) \/ ((X = (n2)) \/ ((X = (n3)) \/ ((X = (n4)) \/ (X = (n5))))))))) ### ConjTree 30 % 7.07/7.26 % SZS output end Proof % 7.07/7.26 (* END-PROOF *) %------------------------------------------------------------------------------