TSTP Solution File: SWC385+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWC385+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 : 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 : Tue Jul 19 22:08:00 EDT 2022
% Result : Theorem 0.41s 0.58s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC385+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 12 14:35:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.41/0.58 % SZS status Theorem
% 0.41/0.58 (* PROOF-FOUND *)
% 0.41/0.58 (* BEGIN-PROOF *)
% 0.41/0.58 % SZS output start Proof
% 0.41/0.58 1. (T_0 = T_1) (T_1 != T_0) ### Sym(=)
% 0.41/0.58 2. (-. (singletonP T_0)) (singletonP T_1) (T_0 = T_1) ### P-NotP 1
% 0.41/0.58 3. (T_2 = T_3) (T_3 != T_2) ### Sym(=)
% 0.41/0.58 4. (T_0 = T_1) (T_1 != T_0) ### Sym(=)
% 0.41/0.58 5. (-. (segmentP T_2 T_0)) (segmentP T_3 T_1) (T_0 = T_1) (T_2 = T_3) ### P-NotP 3 4
% 0.41/0.58 6. (-. ((singletonP T_0) /\ (segmentP T_2 T_0))) (T_2 = T_3) (segmentP T_3 T_1) (T_0 = T_1) (singletonP T_1) ### NotAnd 2 5
% 0.41/0.58 7. (-. (-. (singletonP T_1))) (T_0 = T_1) (segmentP T_3 T_1) (T_2 = T_3) (-. ((singletonP T_0) /\ (segmentP T_2 T_0))) ### NotNot 6
% 0.41/0.58 8. (T_2 = T_3) (T_2 != T_3) ### Axiom
% 0.41/0.58 9. ((nil) != (nil)) ### NotEqual
% 0.41/0.58 10. (-. (neq T_3 (nil))) (neq T_2 (nil)) (T_2 = T_3) ### P-NotP 8 9
% 0.41/0.58 11. (-. ((-. (singletonP T_1)) /\ (neq T_3 (nil)))) (neq T_2 (nil)) (-. ((singletonP T_0) /\ (segmentP T_2 T_0))) (T_2 = T_3) (segmentP T_3 T_1) (T_0 = T_1) ### NotAnd 7 10
% 0.41/0.58 12. (-. ((ssList T_3) => ((T_2 != T_3) \/ ((T_0 != T_1) \/ ((-. (neq T_2 (nil))) \/ ((-. (segmentP T_3 T_1)) \/ (((-. (singletonP T_1)) /\ (neq T_3 (nil))) \/ ((singletonP T_0) /\ (segmentP T_2 T_0))))))))) ### ConjTree 11
% 0.41/0.58 13. (-. (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != T_1) \/ ((-. (neq T_2 (nil))) \/ ((-. (segmentP X T_1)) \/ (((-. (singletonP T_1)) /\ (neq X (nil))) \/ ((singletonP T_0) /\ (segmentP T_2 T_0)))))))))) ### NotAllEx 12
% 0.41/0.58 14. (-. ((ssList T_1) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != T_1) \/ ((-. (neq T_2 (nil))) \/ ((-. (segmentP X T_1)) \/ (((-. (singletonP T_1)) /\ (neq X (nil))) \/ ((singletonP T_0) /\ (segmentP T_2 T_0))))))))))) ### NotImply 13
% 0.41/0.58 15. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != W) \/ ((-. (neq T_2 (nil))) \/ ((-. (segmentP X W)) \/ (((-. (singletonP W)) /\ (neq X (nil))) \/ ((singletonP T_0) /\ (segmentP T_2 T_0)))))))))))) ### NotAllEx 14
% 0.41/0.58 16. (-. ((ssList T_2) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != W) \/ ((-. (neq T_2 (nil))) \/ ((-. (segmentP X W)) \/ (((-. (singletonP W)) /\ (neq X (nil))) \/ ((singletonP T_0) /\ (segmentP T_2 T_0))))))))))))) ### NotImply 15
% 0.41/0.58 17. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_0 != W) \/ ((-. (neq V (nil))) \/ ((-. (segmentP X W)) \/ (((-. (singletonP W)) /\ (neq X (nil))) \/ ((singletonP T_0) /\ (segmentP V T_0)))))))))))))) ### NotAllEx 16
% 0.41/0.58 18. (-. ((ssList T_0) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_0 != W) \/ ((-. (neq V (nil))) \/ ((-. (segmentP X W)) \/ (((-. (singletonP W)) /\ (neq X (nil))) \/ ((singletonP T_0) /\ (segmentP V T_0))))))))))))))) ### NotImply 17
% 0.41/0.58 19. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ ((-. (neq V (nil))) \/ ((-. (segmentP X W)) \/ (((-. (singletonP W)) /\ (neq X (nil))) \/ ((singletonP U) /\ (segmentP V U)))))))))))))))) ### NotAllEx 18
% 0.41/0.58 % SZS output end Proof
% 0.41/0.58 (* END-PROOF *)
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