%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS109+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 03:31:56 EDT 2022 % Result : Unsatisfiable 16.68s 16.88s % Output : Proof 16.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0. % 0.06/0.12 % 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 13:44:36 EDT 2022 % 0.12/0.33 % CPUTime : % 16.68/16.88 % SZS status Theorem % 16.68/16.88 (* PROOF-FOUND *) % 16.68/16.88 (* BEGIN-PROOF *) % 16.68/16.88 % SZS output start Proof % 16.68/16.88 1. (rf (i2003_11_14_17_21_08508) T_0) (-. (rf (i2003_11_14_17_21_08508) T_0)) ### Axiom % 16.68/16.88 2. (-. (rinvF T_0 (i2003_11_14_17_21_08508))) (rf (i2003_11_14_17_21_08508) T_0) ### Definition-Pseudo(rinvF) 1 % 16.68/16.88 3. (rf (i2003_11_14_17_21_08508) T_0) (-. (rf (i2003_11_14_17_21_08508) T_0)) ### Axiom % 16.68/16.88 4. (rs (i2003_11_14_17_21_08508) T_1) (-. (rs (i2003_11_14_17_21_08508) T_1)) ### Axiom % 16.68/16.88 5. (-. (rf (i2003_11_14_17_21_08508) T_1)) (rf (i2003_11_14_17_21_08508) T_1) ### Axiom % 16.68/16.88 6. ((rs (i2003_11_14_17_21_08508) T_1) => (rf (i2003_11_14_17_21_08508) T_1)) (-. (rf (i2003_11_14_17_21_08508) T_1)) (rs (i2003_11_14_17_21_08508) T_1) ### Imply 4 5 % 16.68/16.88 7. (All Y, ((rs (i2003_11_14_17_21_08508) Y) => (rf (i2003_11_14_17_21_08508) Y))) (rs (i2003_11_14_17_21_08508) T_1) (-. (rf (i2003_11_14_17_21_08508) T_1)) ### All 6 % 16.68/16.88 8. (All X, (All Y, ((rs X Y) => (rf X Y)))) (-. (rf (i2003_11_14_17_21_08508) T_1)) (rs (i2003_11_14_17_21_08508) T_1) ### All 7 % 16.68/16.89 9. (T_0 = T_1) (T_1 != T_0) ### Sym(=) % 16.68/16.89 10. (rs (i2003_11_14_17_21_08508) T_1) (-. (rs (i2003_11_14_17_21_08508) T_1)) ### Axiom % 16.68/16.89 11. (-. (rs (i2003_11_14_17_21_08508) T_0)) (rs (i2003_11_14_17_21_08508) T_0) ### Axiom % 16.68/16.89 12. (((T_1 = T_0) /\ (rs (i2003_11_14_17_21_08508) T_1)) => (rs (i2003_11_14_17_21_08508) T_0)) (-. (rs (i2003_11_14_17_21_08508) T_0)) (rs (i2003_11_14_17_21_08508) T_1) (T_0 = T_1) ### DisjTree 9 10 11 % 16.68/16.89 13. (All C, (((T_1 = T_0) /\ (rs C T_1)) => (rs C T_0))) (T_0 = T_1) (rs (i2003_11_14_17_21_08508) T_1) (-. (rs (i2003_11_14_17_21_08508) T_0)) ### All 12 % 16.68/16.89 14. (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) T_1)) => (T_0 = T_1)) (-. (rs (i2003_11_14_17_21_08508) T_0)) (All C, (((T_1 = T_0) /\ (rs C T_1)) => (rs C T_0))) (rs (i2003_11_14_17_21_08508) T_1) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_21_08508) T_0) ### DisjTree 3 8 13 % 16.68/16.89 15. (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (rf (i2003_11_14_17_21_08508) T_0) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rs (i2003_11_14_17_21_08508) T_1) (All C, (((T_1 = T_0) /\ (rs C T_1)) => (rs C T_0))) (-. (rs (i2003_11_14_17_21_08508) T_0)) ### All 14 % 16.68/16.89 16. (All B, (All C, (((T_1 = B) /\ (rs C T_1)) => (rs C B)))) (-. (rs (i2003_11_14_17_21_08508) T_0)) (rs (i2003_11_14_17_21_08508) T_1) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_21_08508) T_0) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) ### All 15 % 16.68/16.89 17. (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (rf (i2003_11_14_17_21_08508) T_0) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rs (i2003_11_14_17_21_08508) T_1) (-. (rs (i2003_11_14_17_21_08508) T_0)) ### All 16 % 16.68/16.89 18. ((rs (i2003_11_14_17_21_08508) T_1) /\ (cp T_1)) (-. (rs (i2003_11_14_17_21_08508) T_0)) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_21_08508) T_0) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) ### And 17 % 16.68/16.89 19. (Ex Y, ((rs (i2003_11_14_17_21_08508) Y) /\ (cp Y))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (rf (i2003_11_14_17_21_08508) T_0) (All X, (All Y, ((rs X Y) => (rf X Y)))) (-. (rs (i2003_11_14_17_21_08508) T_0)) ### Exists 18 % 16.68/16.89 20. (ca_Vx3 (i2003_11_14_17_21_08508)) (-. (rs (i2003_11_14_17_21_08508) T_0)) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_21_08508) T_0) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) ### Definition-Pseudo(ca_Vx3) 19 % 16.68/16.89 21. ((rinvF T_0 (i2003_11_14_17_21_08508)) => (ca_Vx3 (i2003_11_14_17_21_08508))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (-. (rs (i2003_11_14_17_21_08508) T_0)) (rf (i2003_11_14_17_21_08508) T_0) ### Imply 2 20 % 16.68/16.89 22. (All Y, ((rinvF T_0 Y) => (ca_Vx3 Y))) (rf (i2003_11_14_17_21_08508) T_0) (-. (rs (i2003_11_14_17_21_08508) T_0)) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) ### All 21 % 16.68/16.89 23. (-. (rinvS T_0 (i2003_11_14_17_21_08508))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_21_08508) T_0) (All Y, ((rinvF T_0 Y) => (ca_Vx3 Y))) ### Definition-Pseudo(rinvS) 22 % 16.68/16.89 24. (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) (-. (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y))) ### Axiom % 16.68/16.89 25. (cp (i2003_11_14_17_21_08508)) (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) ### Definition-Pseudo(cp) 24 % 16.68/16.89 26. ((rinvS T_0 (i2003_11_14_17_21_08508)) => (cp (i2003_11_14_17_21_08508))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) (All Y, ((rinvF T_0 Y) => (ca_Vx3 Y))) (rf (i2003_11_14_17_21_08508) T_0) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) ### Imply 23 25 % 16.68/16.89 27. (All Y, ((rinvS T_0 Y) => (cp Y))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf (i2003_11_14_17_21_08508) T_0) /\ (rf (i2003_11_14_17_21_08508) Z)) => (T_0 = Z))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_21_08508) T_0) (All Y, ((rinvF T_0 Y) => (ca_Vx3 Y))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) ### All 26 % 16.68/16.89 28. (All Y, (All Z, (((rf (i2003_11_14_17_21_08508) Y) /\ (rf (i2003_11_14_17_21_08508) Z)) => (Y = Z)))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) (All Y, ((rinvF T_0 Y) => (ca_Vx3 Y))) (rf (i2003_11_14_17_21_08508) T_0) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Y, ((rinvS T_0 Y) => (cp Y))) ### All 27 % 16.68/16.89 29. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All Y, ((rinvS T_0 Y) => (cp Y))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_21_08508) T_0) (All Y, ((rinvF T_0 Y) => (ca_Vx3 Y))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) ### All 28 % 16.68/16.89 30. ((All Y, ((rinvS T_0 Y) => (cp Y))) /\ (All Y, ((rinvF T_0 Y) => (ca_Vx3 Y)))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) (rf (i2003_11_14_17_21_08508) T_0) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### And 29 % 16.68/16.89 31. (ca_Ax2 T_0) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_21_08508) T_0) (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) ### Definition-Pseudo(ca_Ax2) 30 % 16.68/16.89 32. ((rf (i2003_11_14_17_21_08508) T_0) /\ (ca_Ax2 T_0)) (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### And 31 % 16.68/16.89 33. (Ex Y, ((rf (i2003_11_14_17_21_08508) Y) /\ (ca_Ax2 Y))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_08508) Y)) ### Exists 32 % 16.68/16.89 34. (cpxcomp (i2003_11_14_17_21_08508)) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (Ex Y, ((rf (i2003_11_14_17_21_08508) Y) /\ (ca_Ax2 Y))) ### Definition-Pseudo(cpxcomp) 33 % 16.68/16.89 35. ((cpxcomp (i2003_11_14_17_21_08508)) /\ (Ex Y, ((rf (i2003_11_14_17_21_08508) Y) /\ (ca_Ax2 Y)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) ### And 34 % 16.68/16.89 36. (cUnsatisfiable (i2003_11_14_17_21_08508)) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Definition-Pseudo(cUnsatisfiable) 35 % 16.68/16.89 % SZS output end Proof % 16.68/16.89 (* END-PROOF *) %------------------------------------------------------------------------------