%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS077+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 03:31:50 EDT 2022 % Result : Unsatisfiable 8.32s 8.52s % Output : Proof 8.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS077+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 12:37:32 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.40 Zenon warning: symbol meta is used with inconsistent arities % 0.19/0.40 Zenon warning: symbol meta is used with inconsistent arities % 0.19/0.41 Zenon warning: symbol meta is used with inconsistent arities % 0.19/0.41 Zenon warning: symbol meta is used with inconsistent arities % 8.32/8.52 % SZS status Theorem % 8.32/8.52 (* PROOF-FOUND *) % 8.32/8.52 (* BEGIN-PROOF *) % 8.32/8.52 % SZS output start Proof % 8.32/8.52 1. (rr (i2003_11_14_17_19_09372) T_0) (-. (rr (i2003_11_14_17_19_09372) T_0)) ### Axiom % 8.32/8.52 2. (rs (i2003_11_14_17_19_09372) T_1) (-. (rs (i2003_11_14_17_19_09372) T_1)) ### Axiom % 8.32/8.52 3. (-. (rr (i2003_11_14_17_19_09372) T_1)) (rr (i2003_11_14_17_19_09372) T_1) ### Axiom % 8.32/8.52 4. ((rs (i2003_11_14_17_19_09372) T_1) => (rr (i2003_11_14_17_19_09372) T_1)) (-. (rr (i2003_11_14_17_19_09372) T_1)) (rs (i2003_11_14_17_19_09372) T_1) ### Imply 2 3 % 8.32/8.52 5. (All Y, ((rs (i2003_11_14_17_19_09372) Y) => (rr (i2003_11_14_17_19_09372) Y))) (rs (i2003_11_14_17_19_09372) T_1) (-. (rr (i2003_11_14_17_19_09372) T_1)) ### All 4 % 8.32/8.52 6. (All X, (All Y, ((rs X Y) => (rr X Y)))) (-. (rr (i2003_11_14_17_19_09372) T_1)) (rs (i2003_11_14_17_19_09372) T_1) ### All 5 % 8.32/8.52 7. (T_0 = T_1) (T_1 != T_0) ### Sym(=) % 8.32/8.52 8. (rs (i2003_11_14_17_19_09372) T_1) (-. (rs (i2003_11_14_17_19_09372) T_1)) ### Axiom % 8.32/8.52 9. (-. (rinvS T_1 (i2003_11_14_17_19_09372))) (rs (i2003_11_14_17_19_09372) T_1) ### Definition-Pseudo(rinvS) 8 % 8.32/8.52 10. (-. (rs (i2003_11_14_17_19_09372) T_0)) (rs (i2003_11_14_17_19_09372) T_0) ### Axiom % 8.32/8.52 11. (rinvS T_0 (i2003_11_14_17_19_09372)) (-. (rs (i2003_11_14_17_19_09372) T_0)) ### Definition-Pseudo(rinvS) 10 % 8.32/8.52 12. (((T_1 = T_0) /\ (rinvS T_1 (i2003_11_14_17_19_09372))) => (rinvS T_0 (i2003_11_14_17_19_09372))) (-. (rs (i2003_11_14_17_19_09372) T_0)) (rs (i2003_11_14_17_19_09372) T_1) (T_0 = T_1) ### DisjTree 7 9 11 % 8.32/8.52 13. (All C, (((T_1 = T_0) /\ (rinvS T_1 C)) => (rinvS T_0 C))) (T_0 = T_1) (rs (i2003_11_14_17_19_09372) T_1) (-. (rs (i2003_11_14_17_19_09372) T_0)) ### All 12 % 8.32/8.52 14. (((rr (i2003_11_14_17_19_09372) T_0) /\ (rr (i2003_11_14_17_19_09372) T_1)) => (T_0 = T_1)) (-. (rs (i2003_11_14_17_19_09372) T_0)) (All C, (((T_1 = T_0) /\ (rinvS T_1 C)) => (rinvS T_0 C))) (rs (i2003_11_14_17_19_09372) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_19_09372) T_0) ### DisjTree 1 6 13 % 8.32/8.52 15. (All Y1, (((rr (i2003_11_14_17_19_09372) T_0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (T_0 = Y1))) (rr (i2003_11_14_17_19_09372) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_19_09372) T_1) (All C, (((T_1 = T_0) /\ (rinvS T_1 C)) => (rinvS T_0 C))) (-. (rs (i2003_11_14_17_19_09372) T_0)) ### All 14 % 8.32/8.52 16. (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) (-. (rs (i2003_11_14_17_19_09372) T_0)) (rs (i2003_11_14_17_19_09372) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_19_09372) T_0) (All Y1, (((rr (i2003_11_14_17_19_09372) T_0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (T_0 = Y1))) ### All 15 % 8.32/8.52 17. (All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) (rr (i2003_11_14_17_19_09372) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_19_09372) T_1) (-. (rs (i2003_11_14_17_19_09372) T_0)) (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) ### All 16 % 8.32/8.52 18. (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (-. (rs (i2003_11_14_17_19_09372) T_0)) (rs (i2003_11_14_17_19_09372) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_19_09372) T_0) (All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) ### All 17 % 8.32/8.52 19. (-. (rinvS T_0 (i2003_11_14_17_19_09372))) (All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) (rr (i2003_11_14_17_19_09372) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_19_09372) T_1) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### Definition-Pseudo(rinvS) 18 % 8.32/8.52 20. (-. (cp (i2003_11_14_17_19_09372))) (cp (i2003_11_14_17_19_09372)) ### Axiom % 8.32/8.52 21. ((rinvS T_0 (i2003_11_14_17_19_09372)) => (cp (i2003_11_14_17_19_09372))) (-. (cp (i2003_11_14_17_19_09372))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (rs (i2003_11_14_17_19_09372) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_19_09372) T_0) (All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) ### Imply 19 20 % 8.32/8.52 22. (All Z, ((rinvS T_0 Z) => (cp Z))) (All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) (rr (i2003_11_14_17_19_09372) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_19_09372) T_1) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (-. (cp (i2003_11_14_17_19_09372))) ### All 21 % 8.32/8.52 23. ((rs (i2003_11_14_17_19_09372) T_1) /\ (cp T_1)) (-. (cp (i2003_11_14_17_19_09372))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_19_09372) T_0) (All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) (All Z, ((rinvS T_0 Z) => (cp Z))) ### And 22 % 8.32/8.52 24. (Ex Y, ((rs (i2003_11_14_17_19_09372) Y) /\ (cp Y))) (All Z, ((rinvS T_0 Z) => (cp Z))) (All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) (rr (i2003_11_14_17_19_09372) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (-. (cp (i2003_11_14_17_19_09372))) ### Exists 23 % 8.32/8.52 25. ((rr (i2003_11_14_17_19_09372) T_0) /\ (All Z, ((rinvS T_0 Z) => (cp Z)))) (-. (cp (i2003_11_14_17_19_09372))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) (Ex Y, ((rs (i2003_11_14_17_19_09372) Y) /\ (cp Y))) ### And 24 % 8.32/8.52 26. (Ex Y, ((rr (i2003_11_14_17_19_09372) Y) /\ (All Z, ((rinvS Y Z) => (cp Z))))) (Ex Y, ((rs (i2003_11_14_17_19_09372) Y) /\ (cp Y))) (All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (-. (cp (i2003_11_14_17_19_09372))) ### Exists 25 % 8.32/8.52 27. ((All Y0, (All Y1, (((rr (i2003_11_14_17_19_09372) Y0) /\ (rr (i2003_11_14_17_19_09372) Y1)) => (Y0 = Y1)))) /\ ((Ex Y, ((rr (i2003_11_14_17_19_09372) Y) /\ (All Z, ((rinvS Y Z) => (cp Z))))) /\ ((-. (cp (i2003_11_14_17_19_09372))) /\ (Ex Y, ((rs (i2003_11_14_17_19_09372) Y) /\ (cp Y)))))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All X, (All Y, ((rs X Y) => (rr X Y)))) ### ConjTree 26 % 8.32/8.52 28. (cUnsatisfiable (i2003_11_14_17_19_09372)) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### Definition-Pseudo(cUnsatisfiable) 27 % 8.32/8.52 % SZS output end Proof % 8.32/8.52 (* END-PROOF *) %------------------------------------------------------------------------------