TSTP Solution File: SWC116+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWC116+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n025.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 : Tue Jul 19 22:06:39 EDT 2022
% Result : Theorem 0.54s 0.75s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC116+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n025.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 : Sun Jun 12 07:55:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.54/0.75 % SZS status Theorem
% 0.54/0.75 (* PROOF-FOUND *)
% 0.54/0.75 (* BEGIN-PROOF *)
% 0.54/0.75 % SZS output start Proof
% 0.54/0.75 1. (T_0 != T_0) ### Refl(=)
% 0.54/0.75 2. (ssList T_1) (-. (ssList T_1)) ### Axiom
% 0.54/0.75 3. (ssList (nil)) (-. (ssList (nil))) ### Axiom
% 0.54/0.75 4. (T_1 != (nil)) (T_1 = (nil)) ### Axiom
% 0.54/0.75 5. (-. (T_1 != (nil))) (T_1 != (nil)) ### NotNot 4
% 0.54/0.75 6. (-. (neq T_1 (nil))) (neq T_1 (nil)) ### Axiom
% 0.54/0.75 7. ((neq T_1 (nil)) <=> (T_1 != (nil))) (-. (neq T_1 (nil))) (T_1 != (nil)) ### Equiv 5 6
% 0.54/0.75 8. ((ssList (nil)) => ((neq T_1 (nil)) <=> (T_1 != (nil)))) (T_1 != (nil)) (-. (neq T_1 (nil))) (ssList (nil)) ### Imply 3 7
% 0.54/0.75 9. (All V, ((ssList V) => ((neq T_1 V) <=> (T_1 != V)))) (ssList (nil)) (-. (neq T_1 (nil))) (T_1 != (nil)) ### All 8
% 0.54/0.75 10. ((ssList T_1) => (All V, ((ssList V) => ((neq T_1 V) <=> (T_1 != V))))) (T_1 != (nil)) (-. (neq T_1 (nil))) (ssList (nil)) (ssList T_1) ### Imply 2 9
% 0.54/0.75 11. (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList T_1) (ssList (nil)) (-. (neq T_1 (nil))) (T_1 != (nil)) ### All 10
% 0.54/0.75 12. ((nil) != T_0) (T_0 = T_1) (-. (neq T_1 (nil))) (ssList (nil)) (ssList T_1) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) ### Trans-sym 1 11
% 0.54/0.75 13. (T_2 = T_3) (T_3 != T_2) ### Sym(=)
% 0.54/0.75 14. ((nil) != (nil)) ### NotEqual
% 0.54/0.75 15. (-. (neq T_2 (nil))) (neq T_3 (nil)) (T_2 = T_3) ### P-NotP 13 14
% 0.54/0.75 16. (-. (-. (neq T_3 (nil)))) (T_2 = T_3) (-. (neq T_2 (nil))) ### NotNot 15
% 0.54/0.75 17. (-. ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3)))) (-. (neq T_2 (nil))) (T_2 = T_3) ### NotOr 16
% 0.54/0.75 18. (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))) (T_2 = T_3) (-. (neq T_2 (nil))) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList T_1) (ssList (nil)) (T_0 = T_1) ((nil) != T_0) ### NotAnd 12 17
% 0.54/0.75 19. (T_0 = T_1) (T_1 != T_0) ### Sym(=)
% 0.54/0.75 20. (T_2 = T_3) (T_3 != T_2) ### Sym(=)
% 0.54/0.75 21. (-. (segmentP T_0 T_2)) (segmentP T_1 T_3) (T_2 = T_3) (T_0 = T_1) ### P-NotP 19 20
% 0.54/0.75 22. (-. (-. (segmentP T_1 T_3))) (T_0 = T_1) (T_2 = T_3) (-. (segmentP T_0 T_2)) ### NotNot 21
% 0.54/0.75 23. (-. ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3)))) (-. (segmentP T_0 T_2)) (T_2 = T_3) (T_0 = T_1) ### NotOr 22
% 0.54/0.75 24. (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))) (T_2 = T_3) (-. (segmentP T_0 T_2)) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList T_1) (ssList (nil)) (T_0 = T_1) ((nil) != T_0) ### NotAnd 12 23
% 0.54/0.75 25. (-. ((neq T_2 (nil)) /\ (segmentP T_0 T_2))) ((nil) != T_0) (T_0 = T_1) (ssList (nil)) (ssList T_1) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (T_2 = T_3) (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))) ### NotAnd 18 24
% 0.54/0.75 26. (T_2 = T_3) (T_3 != T_2) ### Sym(=)
% 0.54/0.75 27. ((nil) != T_2) ((nil) = T_3) (T_2 = T_3) ### Trans 14 26
% 0.54/0.75 28. (-. (((nil) = T_0) /\ ((nil) = T_2))) ((nil) = T_3) (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))) (T_2 = T_3) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList T_1) (ssList (nil)) (T_0 = T_1) (-. ((neq T_2 (nil)) /\ (segmentP T_0 T_2))) ### NotAnd 25 27
% 0.54/0.75 29. (-. ((nil) != T_3)) (-. ((neq T_2 (nil)) /\ (segmentP T_0 T_2))) (T_0 = T_1) (ssList (nil)) (ssList T_1) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (T_2 = T_3) (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))) (-. (((nil) = T_0) /\ ((nil) = T_2))) ### NotNot 28
% 0.54/0.75 30. (ssList T_1) (-. (ssList T_1)) ### Axiom
% 0.54/0.75 31. (ssList (nil)) (-. (ssList (nil))) ### Axiom
% 0.54/0.75 32. ((nil) != T_1) (T_1 = (nil)) ### Sym(=)
% 0.54/0.75 33. (-. (T_1 != (nil))) ((nil) != T_1) ### NotNot 32
% 0.54/0.75 34. (-. (neq T_1 (nil))) (neq T_1 (nil)) ### Axiom
% 0.54/0.75 35. ((neq T_1 (nil)) <=> (T_1 != (nil))) (-. (neq T_1 (nil))) ((nil) != T_1) ### Equiv 33 34
% 0.54/0.75 36. ((ssList (nil)) => ((neq T_1 (nil)) <=> (T_1 != (nil)))) ((nil) != T_1) (-. (neq T_1 (nil))) (ssList (nil)) ### Imply 31 35
% 0.54/0.75 37. (All V, ((ssList V) => ((neq T_1 V) <=> (T_1 != V)))) (ssList (nil)) (-. (neq T_1 (nil))) ((nil) != T_1) ### All 36
% 0.54/0.75 38. ((ssList T_1) => (All V, ((ssList V) => ((neq T_1 V) <=> (T_1 != V))))) ((nil) != T_1) (-. (neq T_1 (nil))) (ssList (nil)) (ssList T_1) ### Imply 30 37
% 0.54/0.75 39. (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList T_1) (ssList (nil)) (-. (neq T_1 (nil))) ((nil) != T_1) ### All 38
% 0.54/0.75 40. (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))) (T_2 = T_3) (-. (neq T_2 (nil))) ((nil) != T_1) (ssList (nil)) (ssList T_1) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) ### NotAnd 39 17
% 0.54/0.75 41. (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))) (T_0 = T_1) (T_2 = T_3) (-. (segmentP T_0 T_2)) ((nil) != T_1) (ssList (nil)) (ssList T_1) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) ### NotAnd 39 23
% 0.54/0.75 42. (-. ((neq T_2 (nil)) /\ (segmentP T_0 T_2))) (T_0 = T_1) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList T_1) (ssList (nil)) ((nil) != T_1) (T_2 = T_3) (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))) ### NotAnd 40 41
% 0.54/0.75 43. (-. (((nil) != T_3) /\ ((nil) = T_1))) (-. (((nil) = T_0) /\ ((nil) = T_2))) (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))) (T_2 = T_3) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList T_1) (ssList (nil)) (T_0 = T_1) (-. ((neq T_2 (nil)) /\ (segmentP T_0 T_2))) ### NotAnd 29 42
% 0.54/0.75 44. (-. ((ssList T_1) => ((T_0 != T_1) \/ ((T_2 != T_3) \/ ((((nil) != T_3) /\ ((nil) = T_1)) \/ ((((nil) = T_0) /\ ((nil) = T_2)) \/ (((neq T_2 (nil)) /\ (segmentP T_0 T_2)) \/ ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP T_1 T_3))))))))))) (ssList (nil)) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) ### ConjTree 43
% 0.54/0.75 45. (-. (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != T_3) \/ ((((nil) != T_3) /\ ((nil) = X)) \/ ((((nil) = T_0) /\ ((nil) = T_2)) \/ (((neq T_2 (nil)) /\ (segmentP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP X T_3)))))))))))) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList (nil)) ### NotAllEx 44
% 0.54/0.75 46. (-. ((ssList T_3) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != T_3) \/ ((((nil) != T_3) /\ ((nil) = X)) \/ ((((nil) = T_0) /\ ((nil) = T_2)) \/ (((neq T_2 (nil)) /\ (segmentP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (segmentP X T_3))))))))))))) (ssList (nil)) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) ### NotImply 45
% 0.54/0.75 47. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != W) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) = T_0) /\ ((nil) = T_2)) \/ (((neq T_2 (nil)) /\ (segmentP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (segmentP X W)))))))))))))) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList (nil)) ### NotAllEx 46
% 0.54/0.75 48. (-. ((ssList T_0) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != W) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) = T_0) /\ ((nil) = T_2)) \/ (((neq T_2 (nil)) /\ (segmentP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (segmentP X W))))))))))))))) (ssList (nil)) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) ### NotImply 47
% 0.54/0.75 49. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_2 != W) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) = V) /\ ((nil) = T_2)) \/ (((neq T_2 (nil)) /\ (segmentP V T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (segmentP X W)))))))))))))))) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList (nil)) ### NotAllEx 48
% 0.54/0.75 50. (-. ((ssList T_2) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_2 != W) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) = V) /\ ((nil) = T_2)) \/ (((neq T_2 (nil)) /\ (segmentP V T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (segmentP X W))))))))))))))))) (ssList (nil)) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) ### NotImply 49
% 0.54/0.75 51. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) = V) /\ ((nil) = U)) \/ (((neq U (nil)) /\ (segmentP V U)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (segmentP X W)))))))))))))))))) (All U, ((ssList U) => (All V, ((ssList V) => ((neq U V) <=> (U != V)))))) (ssList (nil)) ### NotAllEx 50
% 0.54/0.75 % SZS output end Proof
% 0.54/0.75 (* END-PROOF *)
%------------------------------------------------------------------------------