%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS127+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 03:31:58 EDT 2022 % Result : Unsatisfiable 9.25s 9.45s % Output : Proof 9.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS127+1 : TPTP v8.1.0. Released v3.1.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n017.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 7 08:27:02 EDT 2022 % 0.19/0.34 % CPUTime : % 9.25/9.45 % SZS status Theorem % 9.25/9.45 (* PROOF-FOUND *) % 9.25/9.45 (* BEGIN-PROOF *) % 9.25/9.45 % SZS output start Proof % 9.25/9.45 1. (rr (i2003_11_14_17_22_27794) T_0) (-. (rr (i2003_11_14_17_22_27794) T_0)) ### Axiom % 9.25/9.45 2. (rr (i2003_11_14_17_22_27794) T_1) (-. (rr (i2003_11_14_17_22_27794) T_1)) ### Axiom % 9.25/9.45 3. (T_0 = T_1) (T_0 != T_1) ### Axiom % 9.25/9.45 4. (cc T_0) (-. (cc T_0)) ### Axiom % 9.25/9.45 5. (-. (cc T_1)) (cc T_1) ### Axiom % 9.25/9.45 6. (((T_0 = T_1) /\ (cc T_0)) => (cc T_1)) (-. (cc T_1)) (cc T_0) (T_0 = T_1) ### DisjTree 3 4 5 % 9.25/9.45 7. (All B, (((T_0 = B) /\ (cc T_0)) => (cc B))) (T_0 = T_1) (cc T_0) (-. (cc T_1)) ### All 6 % 9.25/9.45 8. (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (-. (cc T_1)) (cc T_0) (T_0 = T_1) ### All 7 % 9.25/9.45 9. (-. (Ex Y, (ra_Px1 T_1 Y))) (Ex Y, (ra_Px1 T_1 Y)) ### Axiom % 9.25/9.45 10. (cdxcomp T_1) (-. (Ex Y, (ra_Px1 T_1 Y))) ### Definition-Pseudo(cdxcomp) 9 % 9.25/9.45 11. ((cc T_1) => (cdxcomp T_1)) (-. (Ex Y, (ra_Px1 T_1 Y))) (T_0 = T_1) (cc T_0) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ### Imply 8 10 % 9.25/9.45 12. (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (cc T_0) (T_0 = T_1) (-. (Ex Y, (ra_Px1 T_1 Y))) ### All 11 % 9.25/9.45 13. (((rr (i2003_11_14_17_22_27794) T_0) /\ (rr (i2003_11_14_17_22_27794) T_1)) => (T_0 = T_1)) (-. (Ex Y, (ra_Px1 T_1 Y))) (cc T_0) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) (rr (i2003_11_14_17_22_27794) T_1) (rr (i2003_11_14_17_22_27794) T_0) ### DisjTree 1 2 12 % 9.25/9.45 14. (All Y1, (((rr (i2003_11_14_17_22_27794) T_0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (T_0 = Y1))) (rr (i2003_11_14_17_22_27794) T_0) (rr (i2003_11_14_17_22_27794) T_1) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (cc T_0) (-. (Ex Y, (ra_Px1 T_1 Y))) ### All 13 % 9.25/9.45 15. (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) (-. (Ex Y, (ra_Px1 T_1 Y))) (cc T_0) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) (rr (i2003_11_14_17_22_27794) T_1) (rr (i2003_11_14_17_22_27794) T_0) ### All 14 % 9.25/9.45 16. (cd T_1) (rr (i2003_11_14_17_22_27794) T_0) (rr (i2003_11_14_17_22_27794) T_1) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (cc T_0) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) ### Definition-Pseudo(cd) 15 % 9.25/9.45 17. ((rr (i2003_11_14_17_22_27794) T_1) /\ (cd T_1)) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) (cc T_0) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) (rr (i2003_11_14_17_22_27794) T_0) ### And 16 % 9.25/9.45 18. (Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cd Y))) (rr (i2003_11_14_17_22_27794) T_0) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (cc T_0) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) ### Exists 17 % 9.25/9.45 19. ((rr (i2003_11_14_17_22_27794) T_0) /\ (cc T_0)) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) (Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cd Y))) ### And 18 % 9.25/9.45 20. (Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cc Y))) (Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cd Y))) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) ### Exists 19 % 9.25/9.45 21. ((Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cc Y))) /\ ((Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cd Y))) /\ (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) ### ConjTree 20 % 9.25/9.45 22. (cUnsatisfiable (i2003_11_14_17_22_27794)) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ### Definition-Pseudo(cUnsatisfiable) 21 % 9.25/9.45 % SZS output end Proof % 9.25/9.45 (* END-PROOF *) %------------------------------------------------------------------------------