TSTP Solution File: SWC121+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWC121+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 : n029.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 22:06:40 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC121+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n029.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 : Sun Jun 12 06:19:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.53 % SZS status Theorem
% 0.19/0.53 (* PROOF-FOUND *)
% 0.19/0.53 (* BEGIN-PROOF *)
% 0.19/0.53 % SZS output start Proof
% 0.19/0.53 1. (T_0 = T_1) (T_1 != T_0) ### Sym(=)
% 0.19/0.53 2. ((nil) != (nil)) ### NotEqual
% 0.19/0.53 3. (-. (neq T_0 (nil))) (neq T_1 (nil)) (T_0 = T_1) ### P-NotP 1 2
% 0.19/0.53 4. (T_2 = T_3) (T_3 != T_2) ### Sym(=)
% 0.19/0.53 5. (T_0 = T_1) (T_1 != T_0) ### Sym(=)
% 0.19/0.53 6. (-. (segmentP T_2 T_0)) (segmentP T_3 T_1) (T_0 = T_1) (T_2 = T_3) ### P-NotP 4 5
% 0.19/0.53 7. (-. ((neq T_0 (nil)) /\ (segmentP T_2 T_0))) (T_2 = T_3) (segmentP T_3 T_1) (T_0 = T_1) (neq T_1 (nil)) ### NotAnd 3 6
% 0.19/0.53 8. (-. ((-. (neq T_2 (nil))) \/ ((-. (neq T_1 (nil))) \/ ((-. (segmentP T_3 T_1)) \/ ((neq T_0 (nil)) /\ (segmentP T_2 T_0)))))) (T_0 = T_1) (T_2 = T_3) ### ConjTree 7
% 0.19/0.53 9. (T_2 = T_3) (T_2 != T_3) ### Axiom
% 0.19/0.53 10. (-. (neq T_3 (nil))) (neq T_2 (nil)) (T_2 = T_3) ### P-NotP 9 2
% 0.19/0.53 11. (-. (-. (neq T_2 (nil)))) (T_2 = T_3) (-. (neq T_3 (nil))) ### NotNot 10
% 0.19/0.53 12. (-. ((-. (neq T_2 (nil))) \/ (neq T_3 (nil)))) (T_2 = T_3) ### NotOr 11
% 0.19/0.53 13. (-. (((-. (neq T_2 (nil))) \/ ((-. (neq T_1 (nil))) \/ ((-. (segmentP T_3 T_1)) \/ ((neq T_0 (nil)) /\ (segmentP T_2 T_0))))) /\ ((-. (neq T_2 (nil))) \/ (neq T_3 (nil))))) (T_2 = T_3) (T_0 = T_1) ### NotAnd 8 12
% 0.19/0.53 14. (-. ((ssList T_3) => ((T_2 != T_3) \/ ((T_0 != T_1) \/ (((-. (neq T_2 (nil))) \/ ((-. (neq T_1 (nil))) \/ ((-. (segmentP T_3 T_1)) \/ ((neq T_0 (nil)) /\ (segmentP T_2 T_0))))) /\ ((-. (neq T_2 (nil))) \/ (neq T_3 (nil)))))))) ### ConjTree 13
% 0.19/0.53 15. (-. (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != T_1) \/ (((-. (neq T_2 (nil))) \/ ((-. (neq T_1 (nil))) \/ ((-. (segmentP X T_1)) \/ ((neq T_0 (nil)) /\ (segmentP T_2 T_0))))) /\ ((-. (neq T_2 (nil))) \/ (neq X (nil))))))))) ### NotAllEx 14
% 0.19/0.53 16. (-. ((ssList T_1) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != T_1) \/ (((-. (neq T_2 (nil))) \/ ((-. (neq T_1 (nil))) \/ ((-. (segmentP X T_1)) \/ ((neq T_0 (nil)) /\ (segmentP T_2 T_0))))) /\ ((-. (neq T_2 (nil))) \/ (neq X (nil)))))))))) ### NotImply 15
% 0.19/0.53 17. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != W) \/ (((-. (neq T_2 (nil))) \/ ((-. (neq W (nil))) \/ ((-. (segmentP X W)) \/ ((neq T_0 (nil)) /\ (segmentP T_2 T_0))))) /\ ((-. (neq T_2 (nil))) \/ (neq X (nil))))))))))) ### NotAllEx 16
% 0.19/0.53 18. (-. ((ssList T_2) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != W) \/ (((-. (neq T_2 (nil))) \/ ((-. (neq W (nil))) \/ ((-. (segmentP X W)) \/ ((neq T_0 (nil)) /\ (segmentP T_2 T_0))))) /\ ((-. (neq T_2 (nil))) \/ (neq X (nil)))))))))))) ### NotImply 17
% 0.19/0.53 19. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_0 != W) \/ (((-. (neq V (nil))) \/ ((-. (neq W (nil))) \/ ((-. (segmentP X W)) \/ ((neq T_0 (nil)) /\ (segmentP V T_0))))) /\ ((-. (neq V (nil))) \/ (neq X (nil))))))))))))) ### NotAllEx 18
% 0.19/0.53 20. (-. ((ssList T_0) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_0 != W) \/ (((-. (neq V (nil))) \/ ((-. (neq W (nil))) \/ ((-. (segmentP X W)) \/ ((neq T_0 (nil)) /\ (segmentP V T_0))))) /\ ((-. (neq V (nil))) \/ (neq X (nil)))))))))))))) ### NotImply 19
% 0.19/0.53 21. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ (((-. (neq V (nil))) \/ ((-. (neq W (nil))) \/ ((-. (segmentP X W)) \/ ((neq U (nil)) /\ (segmentP V U))))) /\ ((-. (neq V (nil))) \/ (neq X (nil))))))))))))))) ### NotAllEx 20
% 0.19/0.53 % SZS output end Proof
% 0.19/0.53 (* END-PROOF *)
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