%------------------------------------------------------------------------------ % 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 *) %------------------------------------------------------------------------------