TSTP Solution File: SWC375+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SWC375+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 : 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 : Tue Jul 19 22:07:57 EDT 2022
% Result : Theorem 41.37s 41.61s
% Output : Proof 41.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC375+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 11 23:54:36 EDT 2022
% 0.11/0.33 % CPUTime :
% 41.37/41.61 % SZS status Theorem
% 41.37/41.61 (* PROOF-FOUND *)
% 41.37/41.61 (* BEGIN-PROOF *)
% 41.37/41.61 % SZS output start Proof
% 41.37/41.61 1. (memberP T_0 T_1) (-. (memberP T_0 T_1)) ### Axiom
% 41.37/41.61 2. (T_2 != T_2) ### Refl(=)
% 41.37/41.61 3. (T_0 = T_3) (T_0 != T_3) ### Axiom
% 41.37/41.61 4. (T_4 != T_4) ### Refl(=)
% 41.37/41.61 5. (T_4 != T_0) (T_3 = T_4) (T_0 = T_3) ### Trans-sym 3 4
% 41.37/41.61 6. (T_0 != T_2) (T_2 = T_4) (T_0 = T_3) (T_3 = T_4) ### Trans-sym 2 5
% 41.37/41.61 7. (T_1 != T_1) ### Refl(=)
% 41.37/41.61 8. (-. (memberP T_2 T_1)) (memberP T_0 T_1) (T_3 = T_4) (T_0 = T_3) (T_2 = T_4) ### P-NotP 6 7
% 41.37/41.61 9. (-. ((memberP T_0 T_1) /\ (memberP T_2 T_1))) (T_2 = T_4) (T_0 = T_3) (T_3 = T_4) (memberP T_0 T_1) ### NotAnd 1 8
% 41.37/41.61 10. (-. (-. (memberP T_0 T_1))) (T_3 = T_4) (T_0 = T_3) (T_2 = T_4) (-. ((memberP T_0 T_1) /\ (memberP T_2 T_1))) ### NotNot 9
% 41.37/41.61 11. (T_2 != T_2) ### Refl(=)
% 41.37/41.61 12. (T_2 != T_0) (T_2 = T_4) (T_0 = T_3) (T_3 = T_4) ### Trans 11 5
% 41.37/41.61 13. (T_1 != T_1) ### Refl(=)
% 41.37/41.61 14. (-. (memberP T_0 T_1)) (memberP T_2 T_1) (T_3 = T_4) (T_0 = T_3) (T_2 = T_4) ### P-NotP 12 13
% 41.37/41.61 15. (memberP T_2 T_1) (-. (memberP T_2 T_1)) ### Axiom
% 41.37/41.61 16. (-. ((memberP T_0 T_1) /\ (memberP T_2 T_1))) (T_2 = T_4) (T_0 = T_3) (T_3 = T_4) (memberP T_2 T_1) ### NotAnd 14 15
% 41.37/41.61 17. (-. (-. (memberP T_2 T_1))) (T_3 = T_4) (T_0 = T_3) (T_2 = T_4) (-. ((memberP T_0 T_1) /\ (memberP T_2 T_1))) ### NotNot 16
% 41.37/41.61 18. (-. ((-. (memberP T_0 T_1)) /\ (-. (memberP T_2 T_1)))) (-. ((memberP T_0 T_1) /\ (memberP T_2 T_1))) (T_2 = T_4) (T_0 = T_3) (T_3 = T_4) ### NotAnd 10 17
% 41.37/41.61 19. (-. ((ssItem T_1) => (((-. (memberP T_0 T_1)) /\ (-. (memberP T_2 T_1))) \/ ((memberP T_0 T_1) /\ (memberP T_2 T_1))))) (T_3 = T_4) (T_0 = T_3) (T_2 = T_4) ### ConjTree 18
% 41.37/41.61 20. (-. (All Y, ((ssItem Y) => (((-. (memberP T_0 Y)) /\ (-. (memberP T_2 Y))) \/ ((memberP T_0 Y) /\ (memberP T_2 Y)))))) (T_2 = T_4) (T_0 = T_3) (T_3 = T_4) ### NotAllEx 19
% 41.37/41.61 21. (-. ((ssList T_3) => ((T_0 != T_3) \/ ((T_2 != T_4) \/ ((T_3 != T_4) \/ (All Y, ((ssItem Y) => (((-. (memberP T_0 Y)) /\ (-. (memberP T_2 Y))) \/ ((memberP T_0 Y) /\ (memberP T_2 Y)))))))))) ### ConjTree 20
% 41.37/41.61 22. (-. (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != T_4) \/ ((X != T_4) \/ (All Y, ((ssItem Y) => (((-. (memberP T_0 Y)) /\ (-. (memberP T_2 Y))) \/ ((memberP T_0 Y) /\ (memberP T_2 Y))))))))))) ### NotAllEx 21
% 41.37/41.61 23. (-. ((ssList T_4) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != T_4) \/ ((X != T_4) \/ (All Y, ((ssItem Y) => (((-. (memberP T_0 Y)) /\ (-. (memberP T_2 Y))) \/ ((memberP T_0 Y) /\ (memberP T_2 Y)))))))))))) ### NotImply 22
% 41.37/41.61 24. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != W) \/ ((X != W) \/ (All Y, ((ssItem Y) => (((-. (memberP T_0 Y)) /\ (-. (memberP T_2 Y))) \/ ((memberP T_0 Y) /\ (memberP T_2 Y))))))))))))) ### NotAllEx 23
% 41.37/41.61 25. (-. ((ssList T_0) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != W) \/ ((X != W) \/ (All Y, ((ssItem Y) => (((-. (memberP T_0 Y)) /\ (-. (memberP T_2 Y))) \/ ((memberP T_0 Y) /\ (memberP T_2 Y)))))))))))))) ### NotImply 24
% 41.37/41.61 26. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_2 != W) \/ ((X != W) \/ (All Y, ((ssItem Y) => (((-. (memberP V Y)) /\ (-. (memberP T_2 Y))) \/ ((memberP V Y) /\ (memberP T_2 Y))))))))))))))) ### NotAllEx 25
% 41.37/41.61 27. (-. ((ssList T_2) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_2 != W) \/ ((X != W) \/ (All Y, ((ssItem Y) => (((-. (memberP V Y)) /\ (-. (memberP T_2 Y))) \/ ((memberP V Y) /\ (memberP T_2 Y)))))))))))))))) ### NotImply 26
% 41.37/41.61 28. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ ((X != W) \/ (All Y, ((ssItem Y) => (((-. (memberP V Y)) /\ (-. (memberP U Y))) \/ ((memberP V Y) /\ (memberP U Y))))))))))))))))) ### NotAllEx 27
% 41.37/41.61 % SZS output end Proof
% 41.37/41.61 (* END-PROOF *)
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