TSTP Solution File: SWV204+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% 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 :
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%----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 *)
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