TSTP Solution File: SWV192+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWV192+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 : n024.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 10.04s 10.30s
% Output : Proof 10.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV192+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n024.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 : Wed Jun 15 19:44:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.04/10.30 % SZS status Theorem
% 10.04/10.30 (* PROOF-FOUND *)
% 10.04/10.30 (* BEGIN-PROOF *)
% 10.04/10.30 % SZS output start Proof
% 10.04/10.30 1. ((pv5) != (pv5)) ### NotEqual
% 10.04/10.30 2. (gt (succ (pv5)) (n0)) (-. (gt (succ (pv5)) (n0))) ### Axiom
% 10.04/10.30 3. (-. (leq (n0) (pv5))) (gt (succ (pv5)) (n0)) ### Definition-Pseudo(leq) 2
% 10.04/10.30 4. ((succ (succ (n0))) = (n2)) ((n2) != (succ (succ (n0)))) ### Sym(=)
% 10.04/10.30 5. ((succ (n2)) != (succ (succ (succ (n0))))) ((succ (succ (n0))) = (n2)) ### NotEqual 4
% 10.04/10.30 6. ((n3) != (n3)) ### NotEqual
% 10.04/10.30 7. ((succ (n0)) = (n1)) ((n1) != (succ (n0))) ### Sym(=)
% 10.04/10.30 8. (-. (gt (n3) (succ (n0)))) (gt (n3) (n1)) ((succ (n0)) = (n1)) ### Trans 6 7
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 12. ((n0) != (pv5)) ((pv5) = (n0)) ### Sym(=)
% 10.04/10.30 13. ((pv5) != (n1)) ((pv5) = (n1)) ### Axiom
% 10.04/10.30 14. ((pv5) != (n2)) ((pv5) = (n2)) ### Axiom
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 17. ((n0) != (n0)) ### NotEqual
% 10.04/10.30 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
% 10.04/10.30 19. ((succ (tptp_minus_1)) != (succ (tptp_minus_1))) ### Refl(=)
% 10.04/10.30 20. ((succ (tptp_minus_1)) != (succ (tptp_minus_1))) ### Refl(=)
% 10.04/10.30 21. ((sum (n0) (tptp_minus_1) zenon_X0) = (n0)) ((sum (n0) (tptp_minus_1) zenon_X0) != (n0)) ### Axiom
% 10.04/10.30 22. ((sum (n0) (tptp_minus_1) zenon_X0) != (sum (n0) (tptp_minus_1) zenon_X0)) ### Refl(=)
% 10.04/10.30 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
% 10.04/10.30 24. ((succ (tptp_minus_1)) != (succ (tptp_minus_1))) ### Refl(=)
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 27. ((succ (tptp_minus_1)) = (n0)) ((n0) != (succ (tptp_minus_1))) ### Sym(=)
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 33. ((succ (n0)) != (succ (n0))) ### Refl(=)
% 10.04/10.30 34. ((n1) != (n1)) ### NotEqual
% 10.04/10.30 35. ((succ (n0)) != (succ (n0))) ### Refl(=)
% 10.04/10.30 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
% 10.04/10.30 37. ((succ (n0)) = (n1)) ((succ (n0)) != (n1)) ### Axiom
% 10.04/10.30 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
% 10.04/10.30 39. ((succ (n0)) != (succ (n0))) ### Refl(=)
% 10.04/10.30 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
% 10.04/10.30 41. ((succ (n0)) = (n1)) ((n1) != (succ (n0))) ### Sym(=)
% 10.04/10.30 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
% 10.04/10.30 43. ((succ (n0)) != (succ (n0))) ### Refl(=)
% 10.04/10.30 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
% 10.04/10.30 45. ((succ (succ (n0))) != (succ (succ (n0)))) ### Refl(=)
% 10.04/10.30 46. ((n2) != (n2)) ### NotEqual
% 10.04/10.30 47. ((succ (n0)) = (n1)) ((n1) != (succ (n0))) ### Sym(=)
% 10.04/10.30 48. (-. (gt (n2) (succ (n0)))) (gt (n2) (n1)) ((succ (n0)) = (n1)) ### Trans 46 47
% 10.04/10.30 49. (-. (gt (succ (succ (n0))) (succ (n0)))) ((succ (succ (n0))) = (n2)) ((succ (n0)) = (n1)) (gt (n2) (n1)) ### TransEq 45 48 48
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 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
% 10.04/10.30 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 (u_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
% 10.04/10.30 % SZS output end Proof
% 10.04/10.30 (* END-PROOF *)
%------------------------------------------------------------------------------