%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS128+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 : n018.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 03:31:59 EDT 2022 % Result : Unsatisfiable 0.19s 0.40s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS128+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n018.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 7 13:36:36 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.40 % SZS status Theorem % 0.19/0.40 (* PROOF-FOUND *) % 0.19/0.40 (* BEGIN-PROOF *) % 0.19/0.40 % SZS output start Proof % 0.19/0.40 1. (rr (i2003_11_14_17_22_31584) T_0) (-. (rr (i2003_11_14_17_22_31584) T_0)) ### Axiom % 0.19/0.40 2. (-. (Ex Y0, (ra_Px2 T_0 Y0))) (Ex Y0, (ra_Px2 T_0 Y0)) ### Axiom % 0.19/0.40 3. (cd T_0) (-. (Ex Y0, (ra_Px2 T_0 Y0))) ### Definition-Pseudo(cd) 2 % 0.19/0.40 4. ((rr (i2003_11_14_17_22_31584) T_0) => (cd T_0)) (-. (Ex Y0, (ra_Px2 T_0 Y0))) (rr (i2003_11_14_17_22_31584) T_0) ### Imply 1 3 % 0.19/0.40 5. (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) (rr (i2003_11_14_17_22_31584) T_0) (-. (Ex Y0, (ra_Px2 T_0 Y0))) ### All 4 % 0.19/0.40 6. (-. (cd T_0)) (rr (i2003_11_14_17_22_31584) T_0) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) ### Definition-Pseudo(cd) 5 % 0.19/0.40 7. (Ex Y, (ra_Px1 T_0 Y)) (-. (Ex Y, (ra_Px1 T_0 Y))) ### Axiom % 0.19/0.40 8. (-. (cexcomp T_0)) (Ex Y, (ra_Px1 T_0 Y)) ### Definition-Pseudo(cexcomp) 7 % 0.19/0.40 9. (-. ((cd T_0) /\ (cexcomp T_0))) (Ex Y, (ra_Px1 T_0 Y)) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) (rr (i2003_11_14_17_22_31584) T_0) ### NotAnd 6 8 % 0.19/0.40 10. (-. (ca_Cx4xcomp T_0)) (ca_Cx4xcomp T_0) ### Axiom % 0.19/0.40 11. ((ca_Cx4xcomp T_0) <=> ((cd T_0) /\ (cexcomp T_0))) (-. (ca_Cx4xcomp T_0)) (rr (i2003_11_14_17_22_31584) T_0) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) (Ex Y, (ra_Px1 T_0 Y)) ### Equiv 9 10 % 0.19/0.40 12. (All X, ((ca_Cx4xcomp X) <=> ((cd X) /\ (cexcomp X)))) (Ex Y, (ra_Px1 T_0 Y)) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) (rr (i2003_11_14_17_22_31584) T_0) (-. (ca_Cx4xcomp T_0)) ### All 11 % 0.19/0.40 13. (rr (i2003_11_14_17_22_31584) T_0) (-. (rr (i2003_11_14_17_22_31584) T_0)) ### Axiom % 0.19/0.40 14. (-. (Ex Y0, (ra_Px4 T_0 Y0))) (Ex Y0, (ra_Px4 T_0 Y0)) ### Axiom % 0.19/0.40 15. (ca_Cx4 T_0) (-. (Ex Y0, (ra_Px4 T_0 Y0))) ### Definition-Pseudo(ca_Cx4) 14 % 0.19/0.40 16. ((rr (i2003_11_14_17_22_31584) T_0) => (ca_Cx4 T_0)) (-. (Ex Y0, (ra_Px4 T_0 Y0))) (rr (i2003_11_14_17_22_31584) T_0) ### Imply 13 15 % 0.19/0.40 17. (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (ca_Cx4 Y))) (rr (i2003_11_14_17_22_31584) T_0) (-. (Ex Y0, (ra_Px4 T_0 Y0))) ### All 16 % 0.19/0.40 18. ((ca_Cx4xcomp T_0) <=> (-. (Ex Y0, (ra_Px4 T_0 Y0)))) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (ca_Cx4 Y))) (rr (i2003_11_14_17_22_31584) T_0) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) (Ex Y, (ra_Px1 T_0 Y)) (All X, ((ca_Cx4xcomp X) <=> ((cd X) /\ (cexcomp X)))) ### Equiv 12 17 % 0.19/0.40 19. (All X, ((ca_Cx4xcomp X) <=> (-. (Ex Y0, (ra_Px4 X Y0))))) (All X, ((ca_Cx4xcomp X) <=> ((cd X) /\ (cexcomp X)))) (Ex Y, (ra_Px1 T_0 Y)) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) (rr (i2003_11_14_17_22_31584) T_0) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (ca_Cx4 Y))) ### All 18 % 0.19/0.40 20. (cexcomp T_0) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (ca_Cx4 Y))) (rr (i2003_11_14_17_22_31584) T_0) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) (All X, ((ca_Cx4xcomp X) <=> ((cd X) /\ (cexcomp X)))) (All X, ((ca_Cx4xcomp X) <=> (-. (Ex Y0, (ra_Px4 X Y0))))) ### Definition-Pseudo(cexcomp) 19 % 0.19/0.40 21. ((rr (i2003_11_14_17_22_31584) T_0) /\ (cexcomp T_0)) (All X, ((ca_Cx4xcomp X) <=> (-. (Ex Y0, (ra_Px4 X Y0))))) (All X, ((ca_Cx4xcomp X) <=> ((cd X) /\ (cexcomp X)))) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (ca_Cx4 Y))) ### And 20 % 0.19/0.40 22. (Ex Y, ((rr (i2003_11_14_17_22_31584) Y) /\ (cexcomp Y))) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (ca_Cx4 Y))) (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) (All X, ((ca_Cx4xcomp X) <=> ((cd X) /\ (cexcomp X)))) (All X, ((ca_Cx4xcomp X) <=> (-. (Ex Y0, (ra_Px4 X Y0))))) ### Exists 21 % 0.19/0.40 23. ((Ex Y, ((rr (i2003_11_14_17_22_31584) Y) /\ (cexcomp Y))) /\ ((All Y, ((rr (i2003_11_14_17_22_31584) Y) => (cd Y))) /\ (All Y, ((rr (i2003_11_14_17_22_31584) Y) => (ca_Cx4 Y))))) (All X, ((ca_Cx4xcomp X) <=> (-. (Ex Y0, (ra_Px4 X Y0))))) (All X, ((ca_Cx4xcomp X) <=> ((cd X) /\ (cexcomp X)))) ### ConjTree 22 % 0.19/0.40 24. (cUnsatisfiable (i2003_11_14_17_22_31584)) (All X, ((ca_Cx4xcomp X) <=> ((cd X) /\ (cexcomp X)))) (All X, ((ca_Cx4xcomp X) <=> (-. (Ex Y0, (ra_Px4 X Y0))))) ### Definition-Pseudo(cUnsatisfiable) 23 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------