TSTP Solution File: SWC040+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWC040+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 : n009.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 22:06:16 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC040+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 : n009.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 01:55:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 (* PROOF-FOUND *)
% 0.19/0.44 (* BEGIN-PROOF *)
% 0.19/0.44 % SZS output start Proof
% 0.19/0.44 1. (T_0 != T_0) ### Refl(=)
% 0.19/0.44 2. (T_0 != T_0) ### Refl(=)
% 0.19/0.44 3. ((nil) = T_1) (T_1 != (nil)) ### Sym(=)
% 0.19/0.44 4. ((nil) != T_0) (T_0 = T_1) ((nil) = T_1) ### TransEq-sym 1 2 3
% 0.19/0.44 5. (-. ((nil) != T_1)) (T_0 = T_1) ((nil) != T_0) ### NotNot 4
% 0.19/0.44 6. ((nil) != (nil)) ### NotEqual
% 0.19/0.44 7. (T_2 = T_3) (T_2 != T_3) ### Axiom
% 0.19/0.44 8. ((nil) != T_3) ((nil) = T_2) (T_2 = T_3) ### Trans 6 7
% 0.19/0.44 9. (-. (((nil) != T_1) /\ ((nil) = T_3))) (T_2 = T_3) ((nil) = T_2) ((nil) != T_0) (T_0 = T_1) ### NotAnd 5 8
% 0.19/0.44 10. (-. ((ssList T_3) => (((nil) != T_2) \/ ((T_2 != T_3) \/ ((T_0 != T_1) \/ (((nil) = T_0) \/ ((((nil) != T_1) /\ ((nil) = T_3)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != T_1) \/ ((app Z (cons Y (nil))) != T_3)))))) /\ (neq T_3 (nil)))))))))) ### ConjTree 9
% 0.19/0.44 11. (-. (All X, ((ssList X) => (((nil) != T_2) \/ ((T_2 != X) \/ ((T_0 != T_1) \/ (((nil) = T_0) \/ ((((nil) != T_1) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != T_1) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil))))))))))) ### NotAllEx 10
% 0.19/0.44 12. (-. ((ssList T_1) => (All X, ((ssList X) => (((nil) != T_2) \/ ((T_2 != X) \/ ((T_0 != T_1) \/ (((nil) = T_0) \/ ((((nil) != T_1) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != T_1) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil)))))))))))) ### NotImply 11
% 0.19/0.44 13. (-. (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != T_2) \/ ((T_2 != X) \/ ((T_0 != W) \/ (((nil) = T_0) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil))))))))))))) ### NotAllEx 12
% 0.19/0.44 14. (-. ((ssList T_2) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != T_2) \/ ((T_2 != X) \/ ((T_0 != W) \/ (((nil) = T_0) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil)))))))))))))) ### NotImply 13
% 0.19/0.44 15. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != V) \/ ((V != X) \/ ((T_0 != W) \/ (((nil) = T_0) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil))))))))))))))) ### NotAllEx 14
% 0.19/0.44 16. (-. ((ssList T_0) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != V) \/ ((V != X) \/ ((T_0 != W) \/ (((nil) = T_0) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil)))))))))))))))) ### NotImply 15
% 0.19/0.44 17. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != V) \/ ((V != X) \/ ((U != W) \/ (((nil) = U) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil))))))))))))))))) ### NotAllEx 16
% 0.19/0.44 % SZS output end Proof
% 0.19/0.44 (* END-PROOF *)
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