%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV193+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 : n027.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 21:50:18 EDT 2022 % Result : Theorem 8.74s 8.97s % Output : Proof 8.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV193+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n027.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jun 15 05:09:04 EDT 2022 % 0.13/0.33 % CPUTime : % 8.74/8.97 % SZS status Theorem % 8.74/8.97 (* PROOF-FOUND *) % 8.74/8.97 (* BEGIN-PROOF *) % 8.74/8.97 % SZS output start Proof % 8.74/8.97 1. ((pv5) != (pv5)) ### NotEqual % 8.74/8.97 2. (gt (succ (pv5)) (n0)) (-. (gt (succ (pv5)) (n0))) ### Axiom % 8.74/8.97 3. (-. (leq (n0) (pv5))) (gt (succ (pv5)) (n0)) ### Definition-Pseudo(leq) 2 % 8.74/8.97 4. ((succ (succ (n0))) = (n2)) ((n2) != (succ (succ (n0)))) ### Sym(=) % 8.74/8.97 5. ((succ (n2)) != (succ (succ (succ (n0))))) ((succ (succ (n0))) = (n2)) ### NotEqual 4 % 8.74/8.97 6. ((n3) != (n3)) ### NotEqual % 8.74/8.97 7. ((succ (n0)) = (n1)) ((n1) != (succ (n0))) ### Sym(=) % 8.74/8.97 8. (-. (gt (n3) (succ (n0)))) (gt (n3) (n1)) ((succ (n0)) = (n1)) ### Trans 6 7 % 8.74/8.97 9. (-. (gt (succ (n2)) (succ (n0)))) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) ### TransEq 5 8 8 % 8.74/8.97 10. (-. (gt (succ (n2)) (pv5))) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) ### Trans 9 1 % 8.74/8.97 11. (-. (leq (pv5) (n2))) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) ### Definition-Pseudo(leq) 10 % 8.74/8.97 12. ((n0) != (pv5)) ((pv5) = (n0)) ### Sym(=) % 8.74/8.97 13. ((pv5) != (n1)) ((pv5) = (n1)) ### Axiom % 8.74/8.97 14. ((pv5) != (n2)) ((pv5) = (n2)) ### Axiom % 8.74/8.97 15. (((leq (n0) (pv5)) /\ (leq (pv5) (n2))) => (((pv5) = (n0)) \/ (((pv5) = (n1)) \/ ((pv5) = (n2))))) ((pv5) != (n2)) ((pv5) != (n1)) ((n0) != (pv5)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) ### DisjTree 3 11 12 13 14 % 8.74/8.97 16. (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) ((n0) != (pv5)) ((pv5) != (n1)) ((pv5) != (n2)) ### All 15 % 8.74/8.97 17. ((n0) != (n0)) ### NotEqual % 8.74/8.97 18. (-. (gt (n0) (n0))) (gt (pv5) (n0)) ((pv5) != (n2)) ((pv5) != (n1)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ### Trans 16 17 % 8.74/8.97 19. ((succ (tptp_minus_1)) != (succ (tptp_minus_1))) ### Refl(=) % 8.74/8.97 20. ((succ (tptp_minus_1)) != (succ (tptp_minus_1))) ### Refl(=) % 8.74/8.97 21. ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ((sum (n0) (tptp_minus_1) zenon_X0) != (n0)) ### Axiom % 8.74/8.97 22. ((sum (n0) (tptp_minus_1) zenon_X0) != (sum (n0) (tptp_minus_1) zenon_X0)) ### Refl(=) % 8.74/8.97 23. (-. (gt (sum (n0) (tptp_minus_1) zenon_X0) (n0))) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) ((pv5) != (n1)) ((pv5) != (n2)) (gt (pv5) (n0)) ### TransEq 22 18 18 % 8.74/8.97 24. ((succ (tptp_minus_1)) != (succ (tptp_minus_1))) ### Refl(=) % 8.74/8.97 25. (-. (gt (sum (n0) (tptp_minus_1) zenon_X0) (succ (tptp_minus_1)))) ((succ (tptp_minus_1)) = (n0)) (gt (pv5) (n0)) ((pv5) != (n2)) ((pv5) != (n1)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ### TransEq2 21 23 24 % 8.74/8.97 26. (-. (gt (n0) (succ (tptp_minus_1)))) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ((succ (tptp_minus_1)) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) ((pv5) != (n1)) ((pv5) != (n2)) (gt (pv5) (n0)) ### TransEq2 18 25 25 % 8.74/8.97 27. ((succ (tptp_minus_1)) = (n0)) ((n0) != (succ (tptp_minus_1))) ### Sym(=) % 8.74/8.97 28. (-. (gt (succ (tptp_minus_1)) (succ (tptp_minus_1)))) (gt (pv5) (n0)) ((pv5) != (n2)) ((pv5) != (n1)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((succ (tptp_minus_1)) = (n0)) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ### TransEq 20 26 27 % 8.74/8.97 29. (-. (gt (succ (tptp_minus_1)) (pv5))) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ((succ (tptp_minus_1)) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) ((pv5) != (n1)) ((pv5) != (n2)) (gt (pv5) (n0)) ### TransEq 19 28 16 % 8.74/8.97 30. (-. (gt (n0) (pv5))) ((succ (tptp_minus_1)) = (n0)) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) ((pv5) != (n1)) ((pv5) != (n2)) (gt (pv5) (n0)) ### TransEq2 18 18 29 % 8.74/8.97 31. (-. (gt (pv5) (pv5))) (gt (pv5) (n0)) ((pv5) != (n2)) ((pv5) != (n1)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ((succ (tptp_minus_1)) = (n0)) ### Trans 1 30 % 8.74/8.97 32. (All X, (-. (gt X X))) ((succ (tptp_minus_1)) = (n0)) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) ((pv5) != (n1)) ((pv5) != (n2)) (gt (pv5) (n0)) ### All 31 % 8.74/8.97 33. ((succ (n0)) != (succ (n0))) ### Refl(=) % 8.74/8.97 34. ((n1) != (n1)) ### NotEqual % 8.74/8.97 35. ((succ (n0)) != (succ (n0))) ### Refl(=) % 8.74/8.97 36. (-. (gt (succ (n0)) (n1))) (gt (pv5) (n0)) ((pv5) != (n2)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ((succ (tptp_minus_1)) = (n0)) (All X, (-. (gt X X))) ### Trans 35 32 % 8.74/8.97 37. ((succ (n0)) = (n1)) ((succ (n0)) != (n1)) ### Axiom % 8.74/8.97 38. (-. (gt (n1) (n1))) (All X, (-. (gt X X))) ((succ (tptp_minus_1)) = (n0)) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) ((pv5) != (n2)) (gt (pv5) (n0)) ### TransEq2 34 36 37 % 8.74/8.97 39. ((succ (n0)) != (succ (n0))) ### Refl(=) % 8.74/8.97 40. (-. (gt (n1) (succ (n0)))) (gt (pv5) (n0)) ((pv5) != (n2)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ((succ (tptp_minus_1)) = (n0)) (All X, (-. (gt X X))) ### TransEq2 34 38 39 % 8.74/8.97 41. ((succ (n0)) = (n1)) ((n1) != (succ (n0))) ### Sym(=) % 8.74/8.97 42. (-. (gt (succ (n0)) (succ (n0)))) (All X, (-. (gt X X))) ((succ (tptp_minus_1)) = (n0)) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) ((pv5) != (n2)) (gt (pv5) (n0)) ### TransEq 33 40 41 % 8.74/8.97 43. ((succ (n0)) != (succ (n0))) ### Refl(=) % 8.74/8.97 44. (-. (gt (pv5) (succ (n0)))) (gt (pv5) (n0)) ((pv5) != (n2)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ((succ (tptp_minus_1)) = (n0)) (All X, (-. (gt X X))) ### TransEq2 32 42 43 % 8.74/8.97 45. ((succ (succ (n0))) != (succ (succ (n0)))) ### Refl(=) % 8.74/8.97 46. ((n2) != (n2)) ### NotEqual % 8.74/8.97 47. ((succ (n0)) = (n1)) ((n1) != (succ (n0))) ### Sym(=) % 8.74/8.97 48. (-. (gt (n2) (succ (n0)))) (gt (n2) (n1)) ((succ (n0)) = (n1)) ### Trans 46 47 % 8.74/8.97 49. (-. (gt (succ (succ (n0))) (succ (n0)))) ((succ (succ (n0))) = (n2)) ((succ (n0)) = (n1)) (gt (n2) (n1)) ### TransEq 45 48 48 % 8.74/8.97 50. (gt (n2) (n1)) (All X, (-. (gt X X))) ((succ (tptp_minus_1)) = (n0)) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) (gt (pv5) (n0)) (-. (gt (pv5) (succ (n0)))) ### TransEq2 44 49 49 % 8.74/8.97 51. (-. (gt (pv5) (pv5))) (gt (pv5) (n0)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ((succ (tptp_minus_1)) = (n0)) (All X, (-. (gt X X))) (gt (n2) (n1)) ### Trans 50 1 % 8.74/8.97 52. (gt (n2) (n1)) (All X, (-. (gt X X))) ((succ (tptp_minus_1)) = (n0)) ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (succ (n0)) (pv5)) (gt (pv5) (n0)) ### All 51 % 8.74/8.97 53. (All Body, ((sum (n0) (tptp_minus_1) Body) = (n0))) (gt (pv5) (n0)) (gt (succ (n0)) (pv5)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (gt (succ (pv5)) (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((succ (tptp_minus_1)) = (n0)) (All X, (-. (gt X X))) (gt (n2) (n1)) ### All 52 % 8.74/8.97 54. (leq (pv5) (n0)) (gt (n2) (n1)) (All X, (-. (gt X X))) ((succ (tptp_minus_1)) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) (gt (succ (pv5)) (n0)) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (gt (pv5) (n0)) (All Body, ((sum (n0) (tptp_minus_1) Body) = (n0))) ### Definition-Pseudo(leq) 53 % 8.74/8.97 55. (leq (n0) (pv5)) (All Body, ((sum (n0) (tptp_minus_1) Body) = (n0))) (gt (pv5) (n0)) ((succ (succ (n0))) = (n2)) (gt (n3) (n1)) ((succ (n0)) = (n1)) ((succ (succ (succ (n0)))) = (n3)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((succ (tptp_minus_1)) = (n0)) (All X, (-. (gt X X))) (gt (n2) (n1)) (leq (pv5) (n0)) ### Definition-Pseudo(leq) 54 % 8.74/8.97 56. (-. ((((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) (n0)) /\ ((leq (pv5) (n998)) /\ ((gt (pv5) (n0)) /\ ((All A, (All B, (((leq (n0) A) /\ ((leq (n0) B) /\ ((leq A (n2)) /\ (leq B (pred (pv5)))))) => ((a_select3 (u_defuse) A B) = (use))))) /\ (All C, (All D, (((leq (n0) C) /\ ((leq (n0) D) /\ ((leq C (n2)) /\ (leq D (pred (pv5)))))) => ((a_select3 (z_defuse) C D) = (use))))))))))))))))))))))))))))))))))))) => (All E, (All F, (((leq (n0) E) /\ ((leq (n0) F) /\ ((leq E (n2)) /\ (leq F (pred (pv5)))))) => (((-. (((n0) = E) /\ ((pv5) = F))) /\ ((-. (((n1) = E) /\ ((pv5) = F))) /\ (-. (((n2) = E) /\ ((pv5) = F))))) => ((a_select3 (z_defuse) E F) = (use)))))))) (gt (n2) (n1)) (All X, (-. (gt X X))) ((succ (tptp_minus_1)) = (n0)) (All X, (((leq (n0) X) /\ (leq X (n2))) => ((X = (n0)) \/ ((X = (n1)) \/ (X = (n2)))))) ((succ (succ (succ (n0)))) = (n3)) ((succ (n0)) = (n1)) (gt (n3) (n1)) ((succ (succ (n0))) = (n2)) (All Body, ((sum (n0) (tptp_minus_1) Body) = (n0))) ### ConjTree 55 % 8.74/8.97 % SZS output end Proof % 8.74/8.97 (* END-PROOF *) %------------------------------------------------------------------------------