%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n017.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 : Sun Jul 17 03:32:01 EDT 2022 % Result : Theorem 6.20s 6.39s % Output : Proof 6.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.10 % Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.11 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.10/0.32 % Computer : n017.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 600 % 0.10/0.32 % DateTime : Tue Jun 7 10:16:17 EDT 2022 % 0.10/0.32 % CPUTime : % 6.20/6.39 % SZS status Theorem % 6.20/6.39 (* PROOF-FOUND *) % 6.20/6.39 (* BEGIN-PROOF *) % 6.20/6.39 % SZS output start Proof % 6.20/6.39 1. (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (-. (All X, ((cowlThing X) /\ (-. (cowlNothing X))))) ### Axiom % 6.20/6.39 2. (-. (xsd_integer T_0)) (xsd_integer T_0) ### Axiom % 6.20/6.39 3. (-. (-. (xsd_integer T_0))) (-. (xsd_integer T_0)) ### NotNot 2 % 6.20/6.39 4. (-. (xsd_string T_0)) (-. (xsd_integer T_0)) ### Definition-Pseudo(xsd_string) 3 % 6.20/6.39 5. (-. (-. (xsd_integer T_0))) (-. (xsd_integer T_0)) ### Axiom % 6.20/6.39 6. (xsd_string T_0) (-. (-. (xsd_integer T_0))) ### Definition-Pseudo(xsd_string) 5 % 6.20/6.39 7. (-. ((xsd_string T_0) <=> (-. (xsd_integer T_0)))) ### NotEquiv 4 6 % 6.20/6.39 8. (-. (All X, ((xsd_string X) <=> (-. (xsd_integer X))))) ### NotAllEx 7 % 6.20/6.39 9. (cc T_1) (-. (cc T_1)) ### Axiom % 6.20/6.39 10. (-. (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) ### Axiom % 6.20/6.39 11. ((Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) (-. (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) ### And 10 % 6.20/6.39 12. ((cc T_1) => ((Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))))) (-. (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) (cc T_1) ### Imply 9 11 % 6.20/6.39 13. (All X, ((cc X) => ((Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) (cc T_1) (-. (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) ### All 12 % 6.20/6.39 14. (-. ((cc T_1) => (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))))) (All X, ((cc X) => ((Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) ### NotImply 13 % 6.20/6.39 15. (-. (All X, ((cc X) => (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) (All X, ((cc X) => ((Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) ### NotAllEx 14 % 6.20/6.39 16. (cc T_2) (-. (cc T_2)) ### Axiom % 6.20/6.39 17. (-. (Ex Y0, (Ex Y1, ((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (Y0 != Y1)))))) (Ex Y0, (Ex Y1, ((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (Y0 != Y1))))) ### Axiom % 6.20/6.39 18. ((Ex Y0, (Ex Y1, ((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (rp T_2 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) (-. (Ex Y0, (Ex Y1, ((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (Y0 != Y1)))))) ### And 17 % 6.20/6.39 19. ((cc T_2) => ((Ex Y0, (Ex Y1, ((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (rp T_2 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))))) (-. (Ex Y0, (Ex Y1, ((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (Y0 != Y1)))))) (cc T_2) ### Imply 16 18 % 6.20/6.39 20. (All X, ((cc X) => ((Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) (cc T_2) (-. (Ex Y0, (Ex Y1, ((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (Y0 != Y1)))))) ### All 19 % 6.20/6.39 21. (-. ((cc T_2) => (Ex Y0, (Ex Y1, ((rp T_2 Y0) /\ ((rp T_2 Y1) /\ (Y0 != Y1))))))) (All X, ((cc X) => ((Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) ### NotImply 20 % 6.20/6.39 22. (-. (All X, ((cc X) => (Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1)))))))) (All X, ((cc X) => ((Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) ### NotAllEx 21 % 6.20/6.39 23. (-. ((All X, ((cowlThing X) /\ (-. (cowlNothing X)))) /\ ((All X, ((xsd_string X) <=> (-. (xsd_integer X)))) /\ ((All X, ((cc X) => (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))))) /\ (All X, ((cc X) => (Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))))))))) (All X, ((cc X) => ((Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) ### DisjTree 1 8 15 22 % 6.20/6.39 % SZS output end Proof % 6.20/6.39 (* END-PROOF *) %------------------------------------------------------------------------------