%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV095+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 21:49:59 EDT 2022 % Result : Theorem 2.60s 2.84s % Output : Proof 2.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : SWV095+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.04/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.36 % Computer : n005.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 10:19:09 EDT 2022 % 0.14/0.36 % CPUTime : % 2.60/2.84 % SZS status Theorem % 2.60/2.84 (* PROOF-FOUND *) % 2.60/2.84 (* BEGIN-PROOF *) % 2.60/2.84 % SZS output start Proof % 2.60/2.84 1. ((a_select2 (rho_defuse) (n0)) = (use)) ((a_select2 (rho_defuse) (n0)) != (use)) ### Axiom % 2.60/2.84 2. ((a_select2 (rho_defuse) (n1)) = (use)) ((a_select2 (rho_defuse) (n1)) != (use)) ### Axiom % 2.60/2.84 3. ((a_select2 (rho_defuse) (n2)) = (use)) ((a_select2 (rho_defuse) (n2)) != (use)) ### Axiom % 2.60/2.84 4. ((a_select2 (sigma_defuse) (n0)) = (use)) ((a_select2 (sigma_defuse) (n0)) != (use)) ### Axiom % 2.60/2.84 5. ((a_select2 (sigma_defuse) (n1)) = (use)) ((a_select2 (sigma_defuse) (n1)) != (use)) ### Axiom % 2.60/2.84 6. ((a_select2 (sigma_defuse) (n2)) = (use)) ((a_select2 (sigma_defuse) (n2)) != (use)) ### Axiom % 2.60/2.84 7. ((a_select2 (sigma_defuse) (n3)) = (use)) ((a_select2 (sigma_defuse) (n3)) != (use)) ### Axiom % 2.60/2.84 8. ((a_select2 (sigma_defuse) (n4)) = (use)) ((a_select2 (sigma_defuse) (n4)) != (use)) ### Axiom % 2.60/2.84 9. ((a_select2 (sigma_defuse) (n5)) = (use)) ((a_select2 (sigma_defuse) (n5)) != (use)) ### Axiom % 2.60/2.84 10. ((a_select3 (u_defuse) (n0) (n0)) = (use)) ((a_select3 (u_defuse) (n0) (n0)) != (use)) ### Axiom % 2.60/2.84 11. ((a_select3 (u_defuse) (n1) (n0)) = (use)) ((a_select3 (u_defuse) (n1) (n0)) != (use)) ### Axiom % 2.60/2.84 12. ((a_select3 (u_defuse) (n2) (n0)) = (use)) ((a_select3 (u_defuse) (n2) (n0)) != (use)) ### Axiom % 2.60/2.84 13. ((a_select2 (xinit_defuse) (n3)) = (use)) ((a_select2 (xinit_defuse) (n3)) != (use)) ### Axiom % 2.60/2.84 14. ((a_select2 (xinit_defuse) (n4)) = (use)) ((a_select2 (xinit_defuse) (n4)) != (use)) ### Axiom % 2.60/2.84 15. ((a_select2 (xinit_defuse) (n5)) = (use)) ((a_select2 (xinit_defuse) (n5)) != (use)) ### Axiom % 2.60/2.84 16. ((a_select2 (xinit_mean_defuse) (n0)) = (use)) ((a_select2 (xinit_mean_defuse) (n0)) != (use)) ### Axiom % 2.60/2.84 17. ((a_select2 (xinit_mean_defuse) (n1)) = (use)) ((a_select2 (xinit_mean_defuse) (n1)) != (use)) ### Axiom % 2.60/2.84 18. ((a_select2 (xinit_mean_defuse) (n2)) = (use)) ((a_select2 (xinit_mean_defuse) (n2)) != (use)) ### Axiom % 2.60/2.84 19. ((a_select2 (xinit_mean_defuse) (n3)) = (use)) ((a_select2 (xinit_mean_defuse) (n3)) != (use)) ### Axiom % 2.60/2.84 20. ((a_select2 (xinit_mean_defuse) (n4)) = (use)) ((a_select2 (xinit_mean_defuse) (n4)) != (use)) ### Axiom % 2.60/2.84 21. ((a_select2 (xinit_mean_defuse) (n5)) = (use)) ((a_select2 (xinit_mean_defuse) (n5)) != (use)) ### Axiom % 2.60/2.84 22. ((a_select2 (xinit_noise_defuse) (n0)) = (use)) ((a_select2 (xinit_noise_defuse) (n0)) != (use)) ### Axiom % 2.60/2.84 23. ((a_select2 (xinit_noise_defuse) (n1)) = (use)) ((a_select2 (xinit_noise_defuse) (n1)) != (use)) ### Axiom % 2.60/2.84 24. ((a_select2 (xinit_noise_defuse) (n2)) = (use)) ((a_select2 (xinit_noise_defuse) (n2)) != (use)) ### Axiom % 2.60/2.84 25. ((a_select2 (xinit_noise_defuse) (n3)) = (use)) ((a_select2 (xinit_noise_defuse) (n3)) != (use)) ### Axiom % 2.60/2.84 26. ((a_select2 (xinit_noise_defuse) (n4)) = (use)) ((a_select2 (xinit_noise_defuse) (n4)) != (use)) ### Axiom % 2.60/2.84 27. ((a_select2 (xinit_noise_defuse) (n5)) = (use)) ((a_select2 (xinit_noise_defuse) (n5)) != (use)) ### Axiom % 2.60/2.84 28. (gt (succ (pv5)) (n0)) (-. (gt (succ (pv5)) (n0))) ### Axiom % 2.60/2.84 29. (-. (leq (n0) (pv5))) (gt (succ (pv5)) (n0)) ### Definition-Pseudo(leq) 28 % 2.60/2.84 30. (gt (succ (pv51)) (n0)) (-. (gt (succ (pv51)) (n0))) ### Axiom % 2.60/2.84 31. (-. (leq (n0) (pv51))) (gt (succ (pv51)) (n0)) ### Definition-Pseudo(leq) 30 % 2.60/2.84 32. (gt (succ (minus (n999) (n1))) (pv5)) (-. (gt (succ (minus (n999) (n1))) (pv5))) ### Axiom % 2.60/2.84 33. (-. (leq (pv5) (minus (n999) (n1)))) (gt (succ (minus (n999) (n1))) (pv5)) ### Definition-Pseudo(leq) 32 % 2.60/2.84 34. (gt (succ (minus (n6) (n1))) (pv51)) (-. (gt (succ (minus (n6) (n1))) (pv51))) ### Axiom % 2.60/2.84 35. (-. (leq (pv51) (minus (n6) (n1)))) (gt (succ (minus (n6) (n1))) (pv51)) ### Definition-Pseudo(leq) 34 % 2.60/2.84 36. (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (minus (pv5) (n1)))))) => (((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 (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use))))))) ### Axiom % 2.60/2.84 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) (pv51)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((leq (pv51) (minus (n6) (n1))) /\ (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (minus (pv5) (n1)))))) => (((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 (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) (gt (succ (minus (n6) (n1))) (pv51)) (gt (succ (minus (n999) (n1))) (pv5)) (gt (succ (pv51)) (n0)) (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 33 35 36 % 2.60/2.84 38. (leq (pv51) (minus (n6) (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)) (gt (succ (pv51)) (n0)) (gt (succ (minus (n999) (n1))) (pv5)) (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (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 (n0) (pv51)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((leq (pv51) (minus (n6) (n1))) /\ (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))))))))))))))))))))))))))))))))))) ### Definition-Pseudo(leq) 37 % 2.60/2.84 39. (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)) /\ ((leq (n0) (pv5)) /\ ((leq (n0) (pv51)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((leq (pv51) (minus (n6) (n1))) /\ (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (minus (pv5) (n1)))))) => (((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 (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))) (gt (succ (pv51)) (n0)) (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)) (leq (pv51) (minus (n6) (n1))) ### Definition-Pseudo(leq) 38 % 2.60/2.84 40. (leq (n0) (pv51)) (leq (pv51) (minus (n6) (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 (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (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 (n0) (pv51)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((leq (pv51) (minus (n6) (n1))) /\ (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use)))))))))))))))))))))))))))))))))))))) (leq (pv5) (minus (n999) (n1))) ### Definition-Pseudo(leq) 39 % 2.60/2.85 41. (leq (n0) (pv5)) (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)) /\ ((leq (n0) (pv5)) /\ ((leq (n0) (pv51)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((leq (pv51) (minus (n6) (n1))) /\ (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (minus (pv5) (n1)))))) => (((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 (minus (pv5) (n1)))))) => (((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 (pv51) (minus (n6) (n1))) (leq (n0) (pv51)) ### Definition-Pseudo(leq) 40 % 2.60/2.85 42. (-. ((((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) (pv51)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((leq (pv51) (minus (n6) (n1))) /\ (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (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 (n0) (pv51)) /\ ((leq (pv5) (minus (n999) (n1))) /\ ((leq (pv51) (minus (n6) (n1))) /\ (All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (minus (pv5) (n1)))))) => (((a_select3 (u_defuse) A B) = (use)) /\ ((a_select3 (z_defuse) A B) = (use))))))))))))))))))))))))))))))))))))))) ### ConjTree 41 % 2.60/2.85 % SZS output end Proof % 2.60/2.85 (* END-PROOF *) %------------------------------------------------------------------------------