%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV204+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 : n028.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 21:50:20 EDT 2022 % Result : Theorem 5.56s 5.79s % Output : Proof 5.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV204+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 16 04:42:26 EDT 2022 % 0.12/0.33 % CPUTime : % 5.56/5.79 % SZS status Theorem % 5.56/5.79 (* PROOF-FOUND *) % 5.56/5.79 (* BEGIN-PROOF *) % 5.56/5.79 % SZS output start Proof % 5.56/5.79 1. ((rho_defuse) != (rho_defuse)) ### NotEqual % 5.56/5.79 2. (gt (succ T_0) (n0)) (-. (gt (succ T_0) (n0))) ### Axiom % 5.56/5.79 3. (-. (leq (n0) T_0)) (gt (succ T_0) (n0)) ### Definition-Pseudo(leq) 2 % 5.56/5.79 4. (gt (succ (n2)) T_0) (-. (gt (succ (n2)) T_0)) ### Axiom % 5.56/5.79 5. (-. (leq T_0 (n2))) (gt (succ (n2)) T_0) ### Definition-Pseudo(leq) 4 % 5.56/5.79 6. (T_0 != (n0)) (T_0 = (n0)) ### Axiom % 5.56/5.79 7. (T_0 != (n1)) (T_0 = (n1)) ### Axiom % 5.56/5.79 8. (T_0 != (n2)) (T_0 = (n2)) ### Axiom % 5.56/5.79 9. (((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 (n2)) T_0) (gt (succ T_0) (n0)) ### DisjTree 3 5 6 7 8 % 5.56/5.79 10. (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ T_0) (n0)) (gt (succ (n2)) T_0) (T_0 != (n0)) (T_0 != (n1)) (T_0 != (n2)) ### All 9 % 5.56/5.79 11. ((a_select2 (rho_defuse) T_0) != (a_select2 (rho_defuse) (n0))) (T_0 != (n2)) (T_0 != (n1)) (gt (succ (n2)) T_0) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ### NotEqual 1 10 % 5.56/5.79 12. ((use) != (use)) ### NotEqual % 5.56/5.79 13. ((a_select2 (rho_defuse) T_0) != (use)) ((a_select2 (rho_defuse) (n0)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ T_0) (n0)) (gt (succ (n2)) T_0) (T_0 != (n1)) (T_0 != (n2)) ### Trans 11 12 % 5.56/5.79 14. ((a_select2 (rho_defuse) T_0) != (a_select2 (rho_defuse) (n2))) (T_0 != (n1)) (gt (succ (n2)) T_0) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((a_select2 (rho_defuse) (n0)) = (use)) ((a_select2 (rho_defuse) T_0) != (use)) ### NotEqual 1 13 % 5.56/5.79 15. ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) T_0) != (use)) ((a_select2 (rho_defuse) (n0)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ T_0) (n0)) (gt (succ (n2)) T_0) (T_0 != (n1)) ### Trans 14 12 % 5.56/5.79 16. ((a_select2 (rho_defuse) T_0) != (a_select2 (rho_defuse) (n1))) (gt (succ (n2)) T_0) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((a_select2 (rho_defuse) (n0)) = (use)) ((a_select2 (rho_defuse) T_0) != (use)) ((a_select2 (rho_defuse) (n2)) = (use)) ### NotEqual 1 15 % 5.56/5.79 17. ((a_select2 (rho_defuse) (n1)) = (use)) ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) T_0) != (use)) ((a_select2 (rho_defuse) (n0)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ T_0) (n0)) (gt (succ (n2)) T_0) ### Trans 16 12 % 5.56/5.79 18. (leq T_0 (n2)) (gt (succ T_0) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((a_select2 (rho_defuse) (n0)) = (use)) ((a_select2 (rho_defuse) T_0) != (use)) ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) (n1)) = (use)) ### Definition-Pseudo(leq) 17 % 5.56/5.79 19. (leq (n0) T_0) ((a_select2 (rho_defuse) (n1)) = (use)) ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) T_0) != (use)) ((a_select2 (rho_defuse) (n0)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (leq T_0 (n2)) ### Definition-Pseudo(leq) 18 % 5.56/5.79 20. (-. (((leq (n0) T_0) /\ (leq T_0 (n2))) => ((a_select2 (rho_defuse) T_0) = (use)))) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((a_select2 (rho_defuse) (n0)) = (use)) ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) (n1)) = (use)) ### ConjTree 19 % 5.56/5.79 21. (-. (All E, (((leq (n0) E) /\ (leq E (n2))) => ((a_select2 (rho_defuse) E) = (use))))) ((a_select2 (rho_defuse) (n1)) = (use)) ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) (n0)) = (use)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ### NotAllEx 20 % 5.56/5.79 22. (-. ((((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 (n2))) => ((a_select2 (rho_defuse) E) = (use)))))) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ### ConjTree 21 % 5.56/5.79 % SZS output end Proof % 5.56/5.79 (* END-PROOF *) %------------------------------------------------------------------------------