TSTP Solution File: SWC097+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWC097+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 : n006.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 22:06:33 EDT 2022
% Result : Theorem 1.36s 1.54s
% Output : Proof 1.36s
% 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 : SWC097+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 : n006.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 : Sun Jun 12 23:48:27 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.36/1.54 % SZS status Theorem
% 1.36/1.54 (* PROOF-FOUND *)
% 1.36/1.54 (* BEGIN-PROOF *)
% 1.36/1.54 % SZS output start Proof
% 1.36/1.54 1. (ssItem T_0) (-. (ssItem T_0)) ### Axiom
% 1.36/1.54 2. (T_1 = T_2) (T_1 != T_2) ### Axiom
% 1.36/1.54 3. ((cons T_0 (nil)) != (cons T_0 (nil))) ### Refl(=)
% 1.36/1.54 4. ((app T_1 (cons T_0 (nil))) != (app T_2 (cons T_0 (nil)))) (T_1 = T_2) ### NotEqual 2 3
% 1.36/1.54 5. (T_3 = T_4) (T_4 != T_3) ### Sym(=)
% 1.36/1.54 6. ((app T_1 (cons T_0 (nil))) != T_3) ((app T_2 (cons T_0 (nil))) = T_4) (T_3 = T_4) (T_1 = T_2) ### Trans 4 5
% 1.36/1.54 7. (-. ((ssItem T_0) /\ ((app T_1 (cons T_0 (nil))) = T_3))) (T_1 = T_2) (T_3 = T_4) ((app T_2 (cons T_0 (nil))) = T_4) (ssItem T_0) ### NotAnd 1 6
% 1.36/1.54 8. (-. (Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3)))) (ssItem T_0) ((app T_2 (cons T_0 (nil))) = T_4) (T_3 = T_4) (T_1 = T_2) ### NotExists 7
% 1.36/1.54 9. (-. ((app T_2 (cons T_0 (nil))) != T_4)) (T_1 = T_2) (T_3 = T_4) (ssItem T_0) (-. (Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3)))) ### NotNot 8
% 1.36/1.54 10. (-. ((ssItem T_0) => ((app T_2 (cons T_0 (nil))) != T_4))) (-. (Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3)))) (T_3 = T_4) (T_1 = T_2) ### NotImply 9
% 1.36/1.54 11. (-. (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != T_4)))) (T_1 = T_2) (T_3 = T_4) (-. (Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3)))) ### NotAllEx 10
% 1.36/1.54 12. (-. ((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != T_4)))))) (T_3 = T_4) (T_1 = T_2) ### ConjTree 11
% 1.36/1.54 13. (T_3 = T_4) (T_3 != T_4) ### Axiom
% 1.36/1.54 14. ((nil) != (nil)) ### NotEqual
% 1.36/1.54 15. (-. (neq T_4 (nil))) (neq T_3 (nil)) (T_3 = T_4) ### P-NotP 13 14
% 1.36/1.54 16. (-. (-. (neq T_3 (nil)))) (T_3 = T_4) (-. (neq T_4 (nil))) ### NotNot 15
% 1.36/1.54 17. (-. ((-. (neq T_3 (nil))) \/ (neq T_4 (nil)))) (T_3 = T_4) ### NotOr 16
% 1.36/1.54 18. (-. (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != T_4))))) /\ ((-. (neq T_3 (nil))) \/ (neq T_4 (nil))))) (T_1 = T_2) (T_3 = T_4) ### NotAnd 12 17
% 1.36/1.54 19. (-. ((ssList T_4) => ((T_3 != T_4) \/ ((T_1 != T_2) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != T_4))))) /\ ((-. (neq T_3 (nil))) \/ (neq T_4 (nil)))))))) ### ConjTree 18
% 1.36/1.54 20. (-. (All X, ((ssList X) => ((T_3 != X) \/ ((T_1 != T_2) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != X))))) /\ ((-. (neq T_3 (nil))) \/ (neq X (nil))))))))) ### NotAllEx 19
% 1.36/1.54 21. (-. ((ssList T_2) => (All X, ((ssList X) => ((T_3 != X) \/ ((T_1 != T_2) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != X))))) /\ ((-. (neq T_3 (nil))) \/ (neq X (nil)))))))))) ### NotImply 20
% 1.36/1.54 22. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_3 != X) \/ ((T_1 != W) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq T_3 (nil))) \/ (neq X (nil))))))))))) ### NotAllEx 21
% 1.36/1.54 23. (-. ((ssList T_3) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_3 != X) \/ ((T_1 != W) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq T_3 (nil))) \/ (neq X (nil)))))))))))) ### NotImply 22
% 1.36/1.54 24. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_1 != W) \/ (((-. (neq V (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = V))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq V (nil))) \/ (neq X (nil))))))))))))) ### NotAllEx 23
% 1.36/1.54 25. (-. ((ssList T_1) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_1 != W) \/ (((-. (neq V (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = V))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq V (nil))) \/ (neq X (nil)))))))))))))) ### NotImply 24
% 1.36/1.54 26. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ (((-. (neq V (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app U (cons Y (nil))) = V))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq V (nil))) \/ (neq X (nil))))))))))))))) ### NotAllEx 25
% 1.36/1.54 % SZS output end Proof
% 1.36/1.54 (* END-PROOF *)
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