%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV093+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 : n018.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 21:49:59 EDT 2022 % Result : Theorem 2.48s 2.65s % Output : Proof 2.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.33 % Computer : n018.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Thu Jun 16 01:11:00 EDT 2022 % 0.11/0.33 % CPUTime : % 2.48/2.65 % SZS status Theorem % 2.48/2.65 (* PROOF-FOUND *) % 2.48/2.65 (* BEGIN-PROOF *) % 2.48/2.65 % SZS output start Proof % 2.48/2.65 1. ((a_select2 (rho_defuse) (n0)) = (use)) ((a_select2 (rho_defuse) (n0)) != (use)) ### Axiom % 2.48/2.65 2. ((a_select2 (rho_defuse) (n1)) = (use)) ((a_select2 (rho_defuse) (n1)) != (use)) ### Axiom % 2.48/2.65 3. ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) (n2)) != (use)) ### Axiom % 2.48/2.65 4. ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n0)) != (use)) ### Axiom % 2.48/2.65 5. ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) (n1)) != (use)) ### Axiom % 2.48/2.65 6. ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) (n2)) != (use)) ### Axiom % 2.48/2.65 7. ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) (n3)) != (use)) ### Axiom % 2.48/2.65 8. ((a_select2 (sigma_defuse) (n4)) = (use)) ((a_select2 (sigma_defuse) (n4)) != (use)) ### Axiom % 2.48/2.65 9. ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n5)) != (use)) ### Axiom % 2.48/2.65 10. ((a_select3 (u_defuse) (n0) (n0)) = (use)) ((a_select3 (u_defuse) (n0) (n0)) != (use)) ### Axiom % 2.48/2.65 11. ((a_select3 (u_defuse) (n1) (n0)) = (use)) ((a_select3 (u_defuse) (n1) (n0)) != (use)) ### Axiom % 2.48/2.65 12. ((a_select3 (u_defuse) (n2) (n0)) = (use)) ((a_select3 (u_defuse) (n2) (n0)) != (use)) ### Axiom % 2.48/2.65 13. ((a_select2 (xinit_defuse) (n3)) = (use)) ((a_select2 (xinit_defuse) (n3)) != (use)) ### Axiom % 2.48/2.65 14. ((a_select2 (xinit_defuse) (n4)) = (use)) ((a_select2 (xinit_defuse) (n4)) != (use)) ### Axiom % 2.48/2.65 15. ((a_select2 (xinit_defuse) (n5)) = (use)) ((a_select2 (xinit_defuse) (n5)) != (use)) ### Axiom % 2.48/2.65 16. ((a_select2 (xinit_mean_defuse) (n0)) = (use)) ((a_select2 (xinit_mean_defuse) (n0)) != (use)) ### Axiom % 2.48/2.65 17. ((a_select2 (xinit_mean_defuse) (n1)) = (use)) ((a_select2 (xinit_mean_defuse) (n1)) != (use)) ### Axiom % 2.48/2.65 18. ((a_select2 (xinit_mean_defuse) (n2)) = (use)) ((a_select2 (xinit_mean_defuse) (n2)) != (use)) ### Axiom % 2.48/2.65 19. ((a_select2 (xinit_mean_defuse) (n3)) = (use)) ((a_select2 (xinit_mean_defuse) (n3)) != (use)) ### Axiom % 2.48/2.65 20. ((a_select2 (xinit_mean_defuse) (n4)) = (use)) ((a_select2 (xinit_mean_defuse) (n4)) != (use)) ### Axiom % 2.48/2.65 21. ((a_select2 (xinit_mean_defuse) (n5)) = (use)) ((a_select2 (xinit_mean_defuse) (n5)) != (use)) ### Axiom % 2.48/2.65 22. ((a_select2 (xinit_noise_defuse) (n0)) = (use)) ((a_select2 (xinit_noise_defuse) (n0)) != (use)) ### Axiom % 2.48/2.65 23. ((a_select2 (xinit_noise_defuse) (n1)) = (use)) ((a_select2 (xinit_noise_defuse) (n1)) != (use)) ### Axiom % 2.48/2.65 24. ((a_select2 (xinit_noise_defuse) (n2)) = (use)) ((a_select2 (xinit_noise_defuse) (n2)) != (use)) ### Axiom % 2.48/2.65 25. ((a_select2 (xinit_noise_defuse) (n3)) = (use)) ((a_select2 (xinit_noise_defuse) (n3)) != (use)) ### Axiom % 2.48/2.65 26. ((a_select2 (xinit_noise_defuse) (n4)) = (use)) ((a_select2 (xinit_noise_defuse) (n4)) != (use)) ### Axiom % 2.48/2.65 27. ((a_select2 (xinit_noise_defuse) (n5)) = (use)) ((a_select2 (xinit_noise_defuse) (n5)) != (use)) ### Axiom % 2.48/2.65 28. (gt (succ (pv5)) (n0)) (-. (gt (succ (pv5)) (n0))) ### Axiom % 2.48/2.65 29. (-. (leq (n0) (pv5))) (gt (succ (pv5)) (n0)) ### Definition-Pseudo(leq) 28 % 2.48/2.65 30. (gt (succ (minus (n999) (n1))) (pv5)) (-. (gt (succ (minus (n999) (n1))) (pv5))) ### Axiom % 2.48/2.65 31. (-. (leq (pv5) (minus (n999) (n1)))) (gt (succ (minus (n999) (n1))) (pv5)) ### Definition-Pseudo(leq) 30 % 2.48/2.65 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 % 2.48/2.65 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 % 2.48/2.65 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 % 2.48/2.65 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 % 2.48/2.65 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 % 2.48/2.65 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 (n0) (pv41)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((leq (pv41) (minus (n6) (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 % 2.48/2.66 % SZS output end Proof % 2.48/2.66 (* END-PROOF *) %------------------------------------------------------------------------------