TSTP Solution File: MSC012+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MSC012+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n015.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 : Sun Jul 17 23:00:22 EDT 2022
% Result : Theorem 0.91s 1.15s
% Output : Proof 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MSC012+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 16:53:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.91/1.15 % SZS status Theorem
% 0.91/1.15 (* PROOF-FOUND *)
% 0.91/1.15 (* BEGIN-PROOF *)
% 0.91/1.15 % SZS output start Proof
% 0.91/1.15 1. (p zenon_X0) (-. (p zenon_X0)) ### Axiom
% 0.91/1.15 2. (less zenon_X0 T_1) (-. (less zenon_X0 T_1)) ### Axiom
% 0.91/1.15 3. (-. (p T_1)) (p T_1) ### Axiom
% 0.91/1.15 4. (less zenon_X0 T_1) (-. (less zenon_X0 T_1)) ### Axiom
% 0.91/1.15 5. (less T_1 T_2) (-. (less T_1 T_2)) ### Axiom
% 0.91/1.15 6. (p zenon_X0) (-. (p zenon_X0)) ### Axiom
% 0.91/1.15 7. (less zenon_X0 T_2) (-. (less zenon_X0 T_2)) ### Axiom
% 0.91/1.15 8. (p T_2) (-. (p T_2)) ### Axiom
% 0.91/1.15 9. (-. (goal)) (goal) ### P-NotP
% 0.91/1.15 10. (((p zenon_X0) /\ ((less zenon_X0 T_2) /\ (p T_2))) => (goal)) (-. (goal)) (p T_2) (less zenon_X0 T_2) (p zenon_X0) ### DisjTree 6 7 8 9
% 0.91/1.15 11. (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (p zenon_X0) (less zenon_X0 T_2) (p T_2) (-. (goal)) ### All 10
% 0.91/1.15 12. (((less zenon_X0 T_1) /\ (less T_1 T_2)) => (less zenon_X0 T_2)) (-. (goal)) (p T_2) (p zenon_X0) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (less T_1 T_2) (less zenon_X0 T_1) ### DisjTree 4 5 11
% 0.91/1.15 13. (All C, (((less zenon_X0 T_1) /\ (less T_1 C)) => (less zenon_X0 C))) (less zenon_X0 T_1) (less T_1 T_2) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (p zenon_X0) (p T_2) (-. (goal)) ### All 12
% 0.91/1.15 14. (All B, (All C, (((less zenon_X0 B) /\ (less B C)) => (less zenon_X0 C)))) (-. (goal)) (p T_2) (p zenon_X0) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (less T_1 T_2) (less zenon_X0 T_1) ### All 13
% 0.91/1.15 15. ((less T_1 T_2) /\ (p T_2)) (less zenon_X0 T_1) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (p zenon_X0) (-. (goal)) (All B, (All C, (((less zenon_X0 B) /\ (less B C)) => (less zenon_X0 C)))) ### And 14
% 0.91/1.15 16. (Ex B, ((less T_1 B) /\ (p B))) (All B, (All C, (((less zenon_X0 B) /\ (less B C)) => (less zenon_X0 C)))) (-. (goal)) (p zenon_X0) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (less zenon_X0 T_1) ### Exists 15
% 0.91/1.15 17. ((p T_1) \/ (Ex B, ((less T_1 B) /\ (p B)))) (less zenon_X0 T_1) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (p zenon_X0) (-. (goal)) (All B, (All C, (((less zenon_X0 B) /\ (less B C)) => (less zenon_X0 C)))) (-. (p T_1)) ### Or 3 16
% 0.91/1.15 18. (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (-. (p T_1)) (All B, (All C, (((less zenon_X0 B) /\ (less B C)) => (less zenon_X0 C)))) (-. (goal)) (p zenon_X0) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (less zenon_X0 T_1) ### All 17
% 0.91/1.15 19. (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (less zenon_X0 T_1) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (p zenon_X0) (-. (goal)) (-. (p T_1)) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) ### All 18
% 0.91/1.15 20. (((p zenon_X0) /\ ((less zenon_X0 T_1) /\ (p T_1))) => (goal)) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (-. (goal)) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (less zenon_X0 T_1) (p zenon_X0) ### DisjTree 1 2 19 9
% 0.91/1.15 21. (p zenon_X0) (less zenon_X0 T_1) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (-. (goal)) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) ### All 20
% 0.91/1.15 22. (Ex B, (less zenon_X0 B)) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (-. (goal)) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (p zenon_X0) ### Exists 21
% 0.91/1.15 23. (All A, (Ex B, (less A B))) (p zenon_X0) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (All B, (((p zenon_X0) /\ ((less zenon_X0 B) /\ (p B))) => (goal))) (-. (goal)) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) ### All 22
% 0.91/1.15 24. (All A, (All B, (((p A) /\ ((less A B) /\ (p B))) => (goal)))) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (-. (goal)) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (p zenon_X0) (All A, (Ex B, (less A B))) ### All 23
% 0.91/1.15 25. (p T_3) (-. (p T_3)) ### Axiom
% 0.91/1.15 26. (less T_3 T_4) (-. (less T_3 T_4)) ### Axiom
% 0.91/1.15 27. (-. (p T_4)) (p T_4) ### Axiom
% 0.91/1.15 28. (less T_3 T_4) (-. (less T_3 T_4)) ### Axiom
% 0.91/1.15 29. (less T_4 T_5) (-. (less T_4 T_5)) ### Axiom
% 0.91/1.15 30. (p T_3) (-. (p T_3)) ### Axiom
% 0.91/1.15 31. (less T_3 T_5) (-. (less T_3 T_5)) ### Axiom
% 0.91/1.15 32. (p T_5) (-. (p T_5)) ### Axiom
% 0.91/1.15 33. (((p T_3) /\ ((less T_3 T_5) /\ (p T_5))) => (goal)) (-. (goal)) (p T_5) (less T_3 T_5) (p T_3) ### DisjTree 30 31 32 9
% 0.91/1.15 34. (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (p T_3) (less T_3 T_5) (p T_5) (-. (goal)) ### All 33
% 0.91/1.15 35. (((less T_3 T_4) /\ (less T_4 T_5)) => (less T_3 T_5)) (-. (goal)) (p T_5) (p T_3) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (less T_4 T_5) (less T_3 T_4) ### DisjTree 28 29 34
% 0.91/1.15 36. (All C, (((less T_3 T_4) /\ (less T_4 C)) => (less T_3 C))) (less T_3 T_4) (less T_4 T_5) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (p T_3) (p T_5) (-. (goal)) ### All 35
% 0.91/1.15 37. ((less T_4 T_5) /\ (p T_5)) (-. (goal)) (p T_3) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (less T_3 T_4) (All C, (((less T_3 T_4) /\ (less T_4 C)) => (less T_3 C))) ### And 36
% 0.91/1.15 38. (Ex B, ((less T_4 B) /\ (p B))) (All C, (((less T_3 T_4) /\ (less T_4 C)) => (less T_3 C))) (less T_3 T_4) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (p T_3) (-. (goal)) ### Exists 37
% 0.91/1.15 39. ((p T_4) \/ (Ex B, ((less T_4 B) /\ (p B)))) (-. (goal)) (p T_3) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (less T_3 T_4) (All C, (((less T_3 T_4) /\ (less T_4 C)) => (less T_3 C))) (-. (p T_4)) ### Or 27 38
% 0.91/1.15 40. (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (-. (p T_4)) (All C, (((less T_3 T_4) /\ (less T_4 C)) => (less T_3 C))) (less T_3 T_4) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (p T_3) (-. (goal)) ### All 39
% 0.91/1.15 41. (All B, (All C, (((less T_3 B) /\ (less B C)) => (less T_3 C)))) (-. (goal)) (p T_3) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (less T_3 T_4) (-. (p T_4)) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) ### All 40
% 0.91/1.15 42. (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (-. (p T_4)) (less T_3 T_4) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (p T_3) (-. (goal)) ### All 41
% 0.91/1.15 43. (((p T_3) /\ ((less T_3 T_4) /\ (p T_4))) => (goal)) (-. (goal)) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (less T_3 T_4) (p T_3) ### DisjTree 25 26 42 9
% 0.91/1.15 44. (p T_3) (less T_3 T_4) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (-. (goal)) ### All 43
% 0.91/1.15 45. (Ex B, (less T_3 B)) (-. (goal)) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (p T_3) ### Exists 44
% 0.91/1.15 46. (All A, (Ex B, (less A B))) (p T_3) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (All B, (((p T_3) /\ ((less T_3 B) /\ (p B))) => (goal))) (-. (goal)) ### All 45
% 0.91/1.15 47. (All A, (All B, (((p A) /\ ((less A B) /\ (p B))) => (goal)))) (-. (goal)) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (p T_3) (All A, (Ex B, (less A B))) ### All 46
% 0.91/1.15 48. ((less zenon_X0 T_3) /\ (p T_3)) (All A, (Ex B, (less A B))) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (-. (goal)) (All A, (All B, (((p A) /\ ((less A B) /\ (p B))) => (goal)))) ### And 47
% 0.91/1.15 49. (Ex B, ((less zenon_X0 B) /\ (p B))) (All A, (All B, (((p A) /\ ((less A B) /\ (p B))) => (goal)))) (-. (goal)) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (All A, (Ex B, (less A B))) ### Exists 48
% 0.91/1.15 50. ((p zenon_X0) \/ (Ex B, ((less zenon_X0 B) /\ (p B)))) (All A, (Ex B, (less A B))) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (-. (goal)) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (All A, (All B, (((p A) /\ ((less A B) /\ (p B))) => (goal)))) ### Or 24 49
% 0.91/1.15 51. (All A, (All B, (((p A) /\ ((less A B) /\ (p B))) => (goal)))) (All A, ((p A) \/ (Ex B, ((less A B) /\ (p B))))) (-. (goal)) (All A, (All B, (All C, (((less A B) /\ (less B C)) => (less A C))))) (All A, (Ex B, (less A B))) ### All 50
% 0.91/1.15 % SZS output end Proof
% 0.91/1.15 (* END-PROOF *)
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