%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV097+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 : n003.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 21:50:00 EDT 2022 % Result : Theorem 2.78s 2.96s % Output : Proof 2.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SWV097+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.14/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.36 % Computer : n003.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 03:08:25 EDT 2022 % 0.14/0.36 % CPUTime : % 2.78/2.96 % SZS status Theorem % 2.78/2.96 (* PROOF-FOUND *) % 2.78/2.96 (* BEGIN-PROOF *) % 2.78/2.96 % SZS output start Proof % 2.78/2.96 1. ((a_select2 (rho_defuse) (n0)) = (use)) ((a_select2 (rho_defuse) (n0)) != (use)) ### Axiom % 2.78/2.96 2. ((a_select2 (rho_defuse) (n1)) = (use)) ((a_select2 (rho_defuse) (n1)) != (use)) ### Axiom % 2.78/2.96 3. ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) (n2)) != (use)) ### Axiom % 2.78/2.96 4. ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n0)) != (use)) ### Axiom % 2.78/2.96 5. ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) (n1)) != (use)) ### Axiom % 2.78/2.96 6. ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) (n2)) != (use)) ### Axiom % 2.78/2.96 7. ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) (n3)) != (use)) ### Axiom % 2.78/2.96 8. ((a_select2 (sigma_defuse) (n4)) = (use)) ((a_select2 (sigma_defuse) (n4)) != (use)) ### Axiom % 2.78/2.96 9. ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n5)) != (use)) ### Axiom % 2.78/2.96 10. ((a_select3 (u_defuse) (n0) (n0)) = (use)) ((a_select3 (u_defuse) (n0) (n0)) != (use)) ### Axiom % 2.78/2.96 11. ((a_select3 (u_defuse) (n1) (n0)) = (use)) ((a_select3 (u_defuse) (n1) (n0)) != (use)) ### Axiom % 2.78/2.96 12. ((a_select3 (u_defuse) (n2) (n0)) = (use)) ((a_select3 (u_defuse) (n2) (n0)) != (use)) ### Axiom % 2.78/2.96 13. ((a_select2 (xinit_defuse) (n3)) = (use)) ((a_select2 (xinit_defuse) (n3)) != (use)) ### Axiom % 2.78/2.96 14. ((a_select2 (xinit_defuse) (n4)) = (use)) ((a_select2 (xinit_defuse) (n4)) != (use)) ### Axiom % 2.78/2.96 15. ((a_select2 (xinit_defuse) (n5)) = (use)) ((a_select2 (xinit_defuse) (n5)) != (use)) ### Axiom % 2.78/2.96 16. ((a_select2 (xinit_mean_defuse) (n0)) = (use)) ((a_select2 (xinit_mean_defuse) (n0)) != (use)) ### Axiom % 2.78/2.96 17. ((a_select2 (xinit_mean_defuse) (n1)) = (use)) ((a_select2 (xinit_mean_defuse) (n1)) != (use)) ### Axiom % 2.78/2.96 18. ((a_select2 (xinit_mean_defuse) (n2)) = (use)) ((a_select2 (xinit_mean_defuse) (n2)) != (use)) ### Axiom % 2.78/2.96 19. ((a_select2 (xinit_mean_defuse) (n3)) = (use)) ((a_select2 (xinit_mean_defuse) (n3)) != (use)) ### Axiom % 2.78/2.96 20. ((a_select2 (xinit_mean_defuse) (n4)) = (use)) ((a_select2 (xinit_mean_defuse) (n4)) != (use)) ### Axiom % 2.78/2.96 21. ((a_select2 (xinit_mean_defuse) (n5)) = (use)) ((a_select2 (xinit_mean_defuse) (n5)) != (use)) ### Axiom % 2.78/2.96 22. ((a_select2 (xinit_noise_defuse) (n0)) = (use)) ((a_select2 (xinit_noise_defuse) (n0)) != (use)) ### Axiom % 2.78/2.96 23. ((a_select2 (xinit_noise_defuse) (n1)) = (use)) ((a_select2 (xinit_noise_defuse) (n1)) != (use)) ### Axiom % 2.78/2.96 24. ((a_select2 (xinit_noise_defuse) (n2)) = (use)) ((a_select2 (xinit_noise_defuse) (n2)) != (use)) ### Axiom % 2.78/2.96 25. ((a_select2 (xinit_noise_defuse) (n3)) = (use)) ((a_select2 (xinit_noise_defuse) (n3)) != (use)) ### Axiom % 2.78/2.96 26. ((a_select2 (xinit_noise_defuse) (n4)) = (use)) ((a_select2 (xinit_noise_defuse) (n4)) != (use)) ### Axiom % 2.78/2.96 27. ((a_select2 (xinit_noise_defuse) (n5)) = (use)) ((a_select2 (xinit_noise_defuse) (n5)) != (use)) ### Axiom % 2.78/2.96 28. (gt (succ (pv5)) (n0)) (-. (gt (succ (pv5)) (n0))) ### Axiom % 2.78/2.96 29. (-. (leq (n0) (pv5))) (gt (succ (pv5)) (n0)) ### Definition-Pseudo(leq) 28 % 2.78/2.96 30. (gt (succ (minus (n999) (n1))) (pv5)) (-. (gt (succ (minus (n999) (n1))) (pv5))) ### Axiom % 2.78/2.96 31. (-. (leq (pv5) (minus (n999) (n1)))) (gt (succ (minus (n999) (n1))) (pv5)) ### Definition-Pseudo(leq) 30 % 2.78/2.96 32. (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) (-. (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use))))))) ### Axiom % 2.78/2.96 33. (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use)))))) (-. (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use))))))) ### Axiom % 2.78/2.96 34. (-. (((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)) /\ ((leq (n0) (pv5)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) /\ (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use))))))))))))))))))))))))))))))))))))) (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use)))))) (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) (gt (succ (minus (n999) (n1))) (pv5)) (gt (succ (pv5)) (n0)) ((a_select2 (xinit_noise_defuse) (n5)) = (use)) ((a_select2 (xinit_noise_defuse) (n4)) = (use)) ((a_select2 (xinit_noise_defuse) (n3)) = (use)) ((a_select2 (xinit_noise_defuse) (n2)) = (use)) ((a_select2 (xinit_noise_defuse) (n1)) = (use)) ((a_select2 (xinit_noise_defuse) (n0)) = (use)) ((a_select2 (xinit_mean_defuse) (n5)) = (use)) ((a_select2 (xinit_mean_defuse) (n4)) = (use)) ((a_select2 (xinit_mean_defuse) (n3)) = (use)) ((a_select2 (xinit_mean_defuse) (n2)) = (use)) ((a_select2 (xinit_mean_defuse) (n1)) = (use)) ((a_select2 (xinit_mean_defuse) (n0)) = (use)) ((a_select2 (xinit_defuse) (n5)) = (use)) ((a_select2 (xinit_defuse) (n4)) = (use)) ((a_select2 (xinit_defuse) (n3)) = (use)) ((a_select3 (u_defuse) (n2) (n0)) = (use)) ((a_select3 (u_defuse) (n1) (n0)) = (use)) ((a_select3 (u_defuse) (n0) (n0)) = (use)) ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n4)) = (use)) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) (n1)) = (use)) ((a_select2 (rho_defuse) (n0)) = (use)) ### DisjTree 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 32 33 % 2.78/2.96 35. (leq (pv5) (minus (n999) (n1))) ((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)) (gt (succ (pv5)) (n0)) (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use)))))) (-. (((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)) /\ ((leq (n0) (pv5)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) /\ (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use))))))))))))))))))))))))))))))))))))) ### Definition-Pseudo(leq) 34 % 2.78/2.96 36. (leq (n0) (pv5)) (-. (((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)) /\ ((leq (n0) (pv5)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) /\ (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use))))))))))))))))))))))))))))))))))))) (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use)))))) (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) ((a_select2 (xinit_noise_defuse) (n5)) = (use)) ((a_select2 (xinit_noise_defuse) (n4)) = (use)) ((a_select2 (xinit_noise_defuse) (n3)) = (use)) ((a_select2 (xinit_noise_defuse) (n2)) = (use)) ((a_select2 (xinit_noise_defuse) (n1)) = (use)) ((a_select2 (xinit_noise_defuse) (n0)) = (use)) ((a_select2 (xinit_mean_defuse) (n5)) = (use)) ((a_select2 (xinit_mean_defuse) (n4)) = (use)) ((a_select2 (xinit_mean_defuse) (n3)) = (use)) ((a_select2 (xinit_mean_defuse) (n2)) = (use)) ((a_select2 (xinit_mean_defuse) (n1)) = (use)) ((a_select2 (xinit_mean_defuse) (n0)) = (use)) ((a_select2 (xinit_defuse) (n5)) = (use)) ((a_select2 (xinit_defuse) (n4)) = (use)) ((a_select2 (xinit_defuse) (n3)) = (use)) ((a_select3 (u_defuse) (n2) (n0)) = (use)) ((a_select3 (u_defuse) (n1) (n0)) = (use)) ((a_select3 (u_defuse) (n0) (n0)) = (use)) ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n4)) = (use)) ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) (n1)) = (use)) ((a_select2 (rho_defuse) (n0)) = (use)) (leq (pv5) (minus (n999) (n1))) ### Definition-Pseudo(leq) 35 % 2.78/2.96 37. (-. ((((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)) /\ ((leq (n0) (pv5)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) /\ (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use)))))))))))))))))))))))))))))))))))) => (((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)) /\ ((leq (n0) (pv5)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pv5))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) /\ (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) C D) = (use)) /\ ((a_select3 (z_defuse) C D) = (use)))))))))))))))))))))))))))))))))))))) ### ConjTree 36 % 2.78/2.97 % SZS output end Proof % 2.78/2.97 (* END-PROOF *) %------------------------------------------------------------------------------