%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS078+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 : n021.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 4.89s 5.07s % Output : Proof 4.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.12 % Problem : KRS078+1 : TPTP v8.1.0. Released v3.1.0. % 0.05/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 7 13:40:51 EDT 2022 % 0.13/0.34 % CPUTime : % 4.89/5.07 % SZS status Theorem % 4.89/5.07 (* PROOF-FOUND *) % 4.89/5.07 (* BEGIN-PROOF *) % 4.89/5.07 % SZS output start Proof % 4.89/5.07 1. (rr (i2003_11_14_17_19_13721) T_0) (-. (rr (i2003_11_14_17_19_13721) T_0)) ### Axiom % 4.89/5.07 2. (-. (rinvR T_0 (i2003_11_14_17_19_13721))) (rr (i2003_11_14_17_19_13721) T_0) ### Definition-Pseudo(rinvR) 1 % 4.89/5.07 3. (rr T_1 T_0) (-. (rr T_1 T_0)) ### Axiom % 4.89/5.07 4. (-. (rinvR T_0 T_1)) (rr T_1 T_0) ### Definition-Pseudo(rinvR) 3 % 4.89/5.07 5. ((i2003_11_14_17_19_13721) = T_1) ((i2003_11_14_17_19_13721) != T_1) ### Axiom % 4.89/5.07 6. (rs (i2003_11_14_17_19_13721) T_2) (-. (rs (i2003_11_14_17_19_13721) T_2)) ### Axiom % 4.89/5.07 7. (-. (rs T_1 T_2)) (rs T_1 T_2) ### Axiom % 4.89/5.07 8. ((((i2003_11_14_17_19_13721) = T_1) /\ (rs (i2003_11_14_17_19_13721) T_2)) => (rs T_1 T_2)) (-. (rs T_1 T_2)) (rs (i2003_11_14_17_19_13721) T_2) ((i2003_11_14_17_19_13721) = T_1) ### DisjTree 5 6 7 % 4.89/5.07 9. (All C, ((((i2003_11_14_17_19_13721) = T_1) /\ (rs (i2003_11_14_17_19_13721) C)) => (rs T_1 C))) ((i2003_11_14_17_19_13721) = T_1) (rs (i2003_11_14_17_19_13721) T_2) (-. (rs T_1 T_2)) ### All 8 % 4.89/5.07 10. (All B, (All C, ((((i2003_11_14_17_19_13721) = B) /\ (rs (i2003_11_14_17_19_13721) C)) => (rs B C)))) (-. (rs T_1 T_2)) (rs (i2003_11_14_17_19_13721) T_2) ((i2003_11_14_17_19_13721) = T_1) ### All 9 % 4.89/5.07 11. (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) ((i2003_11_14_17_19_13721) = T_1) (rs (i2003_11_14_17_19_13721) T_2) (-. (rs T_1 T_2)) ### All 10 % 4.89/5.07 12. (((rinvR T_0 (i2003_11_14_17_19_13721)) /\ (rinvR T_0 T_1)) => ((i2003_11_14_17_19_13721) = T_1)) (-. (rs T_1 T_2)) (rs (i2003_11_14_17_19_13721) T_2) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (rr T_1 T_0) (rr (i2003_11_14_17_19_13721) T_0) ### DisjTree 2 4 11 % 4.89/5.07 13. (All Z1, (((rinvR T_0 (i2003_11_14_17_19_13721)) /\ (rinvR T_0 Z1)) => ((i2003_11_14_17_19_13721) = Z1))) (rr (i2003_11_14_17_19_13721) T_0) (rr T_1 T_0) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (rs (i2003_11_14_17_19_13721) T_2) (-. (rs T_1 T_2)) ### All 12 % 4.89/5.07 14. (All Z0, (All Z1, (((rinvR T_0 Z0) /\ (rinvR T_0 Z1)) => (Z0 = Z1)))) (-. (rs T_1 T_2)) (rs (i2003_11_14_17_19_13721) T_2) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (rr T_1 T_0) (rr (i2003_11_14_17_19_13721) T_0) ### All 13 % 4.89/5.07 15. (-. (cp T_2)) (cp T_2) ### Axiom % 4.89/5.07 16. ((rs T_1 T_2) => (cp T_2)) (-. (cp T_2)) (rr (i2003_11_14_17_19_13721) T_0) (rr T_1 T_0) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (rs (i2003_11_14_17_19_13721) T_2) (All Z0, (All Z1, (((rinvR T_0 Z0) /\ (rinvR T_0 Z1)) => (Z0 = Z1)))) ### Imply 14 15 % 4.89/5.07 17. (All W, ((rs T_1 W) => (cp W))) (All Z0, (All Z1, (((rinvR T_0 Z0) /\ (rinvR T_0 Z1)) => (Z0 = Z1)))) (rs (i2003_11_14_17_19_13721) T_2) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (rr T_1 T_0) (rr (i2003_11_14_17_19_13721) T_0) (-. (cp T_2)) ### All 16 % 4.89/5.07 18. ((rs (i2003_11_14_17_19_13721) T_2) /\ ((-. (cq T_2)) /\ (-. (cp T_2)))) (rr (i2003_11_14_17_19_13721) T_0) (rr T_1 T_0) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (All Z0, (All Z1, (((rinvR T_0 Z0) /\ (rinvR T_0 Z1)) => (Z0 = Z1)))) (All W, ((rs T_1 W) => (cp W))) ### ConjTree 17 % 4.89/5.07 19. (Ex Y, ((rs (i2003_11_14_17_19_13721) Y) /\ ((-. (cq Y)) /\ (-. (cp Y))))) (All W, ((rs T_1 W) => (cp W))) (All Z0, (All Z1, (((rinvR T_0 Z0) /\ (rinvR T_0 Z1)) => (Z0 = Z1)))) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (rr T_1 T_0) (rr (i2003_11_14_17_19_13721) T_0) ### Exists 18 % 4.89/5.07 20. (rinvR T_0 T_1) (rr (i2003_11_14_17_19_13721) T_0) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (All Z0, (All Z1, (((rinvR T_0 Z0) /\ (rinvR T_0 Z1)) => (Z0 = Z1)))) (All W, ((rs T_1 W) => (cp W))) (Ex Y, ((rs (i2003_11_14_17_19_13721) Y) /\ ((-. (cq Y)) /\ (-. (cp Y))))) ### Definition-Pseudo(rinvR) 19 % 4.89/5.07 21. ((rinvR T_0 T_1) /\ (All W, ((rs T_1 W) => (cp W)))) (Ex Y, ((rs (i2003_11_14_17_19_13721) Y) /\ ((-. (cq Y)) /\ (-. (cp Y))))) (All Z0, (All Z1, (((rinvR T_0 Z0) /\ (rinvR T_0 Z1)) => (Z0 = Z1)))) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (rr (i2003_11_14_17_19_13721) T_0) ### And 20 % 4.89/5.07 22. (Ex Z, ((rinvR T_0 Z) /\ (All W, ((rs Z W) => (cp W))))) (rr (i2003_11_14_17_19_13721) T_0) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (All Z0, (All Z1, (((rinvR T_0 Z0) /\ (rinvR T_0 Z1)) => (Z0 = Z1)))) (Ex Y, ((rs (i2003_11_14_17_19_13721) Y) /\ ((-. (cq Y)) /\ (-. (cp Y))))) ### Exists 21 % 4.89/5.07 23. ((rr (i2003_11_14_17_19_13721) T_0) /\ ((Ex Z, ((rinvR T_0 Z) /\ (All W, ((rs Z W) => (cp W))))) /\ (All Z0, (All Z1, (((rinvR T_0 Z0) /\ (rinvR T_0 Z1)) => (Z0 = Z1)))))) (Ex Y, ((rs (i2003_11_14_17_19_13721) Y) /\ ((-. (cq Y)) /\ (-. (cp Y))))) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) ### ConjTree 22 % 4.89/5.07 24. (Ex Y, ((rr (i2003_11_14_17_19_13721) Y) /\ ((Ex Z, ((rinvR Y Z) /\ (All W, ((rs Z W) => (cp W))))) /\ (All Z0, (All Z1, (((rinvR Y Z0) /\ (rinvR Y Z1)) => (Z0 = Z1))))))) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) (Ex Y, ((rs (i2003_11_14_17_19_13721) Y) /\ ((-. (cq Y)) /\ (-. (cp Y))))) ### Exists 23 % 4.89/5.07 25. ((Ex Y, ((rr (i2003_11_14_17_19_13721) Y) /\ ((Ex Z, ((rinvR Y Z) /\ (All W, ((rs Z W) => (cp W))))) /\ (All Z0, (All Z1, (((rinvR Y Z0) /\ (rinvR Y Z1)) => (Z0 = Z1))))))) /\ (Ex Y, ((rs (i2003_11_14_17_19_13721) Y) /\ ((-. (cq Y)) /\ (-. (cp Y)))))) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) ### And 24 % 4.89/5.07 26. (cUnsatisfiable (i2003_11_14_17_19_13721)) (All A, (All B, (All C, (((A = B) /\ (rs A C)) => (rs B C))))) ### Definition-Pseudo(cUnsatisfiable) 25 % 4.89/5.07 % SZS output end Proof % 4.89/5.07 (* END-PROOF *) %------------------------------------------------------------------------------