%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS082+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 : n025.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 03:31:51 EDT 2022 % Result : Unsatisfiable 5.53s 5.79s % Output : Proof 5.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : KRS082+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n025.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 18:33:04 EDT 2022 % 0.12/0.33 % CPUTime : % 5.53/5.79 % SZS status Theorem % 5.53/5.79 (* PROOF-FOUND *) % 5.53/5.79 (* BEGIN-PROOF *) % 5.53/5.79 % SZS output start Proof % 5.53/5.79 1. (cUnsatisfiable (i2003_11_14_17_19_28752)) (-. (cUnsatisfiable (i2003_11_14_17_19_28752))) ### Axiom % 5.53/5.79 2. (rp T_0 T_1) (-. (rp T_0 T_1)) ### Axiom % 5.53/5.79 3. (rp T_0 T_1) (-. (rp T_0 T_1)) ### Axiom % 5.53/5.79 4. (T_2 != T_2) ### Refl(=) % 5.53/5.79 5. (-. (rp T_0 T_2)) (rp T_1 T_2) (rp T_0 T_1) ### Trans 3 4 % 5.53/5.79 6. (rr T_2 T_3) (-. (rr T_2 T_3)) ### Axiom % 5.53/5.79 7. (rr T_2 T_3) (-. (rr T_2 T_3)) ### Axiom % 5.53/5.79 8. (-. (rinvR T_3 T_2)) (rr T_2 T_3) ### Definition-Pseudo(rinvR) 7 % 5.53/5.79 9. (-. (rinvP T_2 T_0)) (rp T_0 T_1) (rp T_1 T_2) ### Definition-Pseudo(rinvP) 5 % 5.53/5.79 10. (cUnsatisfiable (i2003_11_14_17_19_28752)) (-. (cUnsatisfiable (i2003_11_14_17_19_28752))) ### Axiom % 5.53/5.79 11. (rs (i2003_11_14_17_19_28752) T_0) (-. (rs (i2003_11_14_17_19_28752) T_0)) ### Axiom % 5.53/5.79 12. (-. (rinvS T_0 (i2003_11_14_17_19_28752))) (rs (i2003_11_14_17_19_28752) T_0) ### Definition-Pseudo(rinvS) 11 % 5.53/5.79 13. (ca (i2003_11_14_17_19_28752)) (-. (ca (i2003_11_14_17_19_28752))) ### Axiom % 5.53/5.79 14. ((rinvS T_0 (i2003_11_14_17_19_28752)) => (-. (ca (i2003_11_14_17_19_28752)))) (ca (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) ### Imply 12 13 % 5.53/5.79 15. (All W, ((rinvS T_0 W) => (-. (ca W)))) (rs (i2003_11_14_17_19_28752) T_0) (ca (i2003_11_14_17_19_28752)) ### All 14 % 5.53/5.79 16. ((cUnsatisfiable (i2003_11_14_17_19_28752)) => (ca (i2003_11_14_17_19_28752))) (rs (i2003_11_14_17_19_28752) T_0) (All W, ((rinvS T_0 W) => (-. (ca W)))) (cUnsatisfiable (i2003_11_14_17_19_28752)) ### Imply 10 15 % 5.53/5.79 17. (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All W, ((rinvS T_0 W) => (-. (ca W)))) (rs (i2003_11_14_17_19_28752) T_0) ### All 16 % 5.53/5.79 18. ((rinvP T_2 T_0) => (All W, ((rinvS T_0 W) => (-. (ca W))))) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_1 T_2) (rp T_0 T_1) ### Imply 9 17 % 5.53/5.79 19. (All Z, ((rinvP T_2 Z) => (All W, ((rinvS Z W) => (-. (ca W)))))) (rp T_0 T_1) (rp T_1 T_2) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) ### All 18 % 5.53/5.79 20. ((rinvR T_3 T_2) => (All Z, ((rinvP T_2 Z) => (All W, ((rinvS Z W) => (-. (ca W))))))) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_1 T_2) (rp T_0 T_1) (rr T_2 T_3) ### Imply 8 19 % 5.53/5.79 21. (All Y, ((rinvR T_3 Y) => (All Z, ((rinvP Y Z) => (All W, ((rinvS Z W) => (-. (ca W)))))))) (rr T_2 T_3) (rp T_0 T_1) (rp T_1 T_2) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) ### All 20 % 5.53/5.79 22. (cc T_3) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_1 T_2) (rp T_0 T_1) (rr T_2 T_3) ### Definition-Pseudo(cc) 21 % 5.53/5.79 23. ((rr T_2 T_3) => (cc T_3)) (rp T_0 T_1) (rp T_1 T_2) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) (rr T_2 T_3) ### Imply 6 22 % 5.53/5.79 24. (All W, ((rr T_2 W) => (cc W))) (rr T_2 T_3) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_1 T_2) (rp T_0 T_1) ### All 23 % 5.53/5.79 25. ((rp T_0 T_2) => (All W, ((rr T_2 W) => (cc W)))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) (rr T_2 T_3) (rp T_0 T_1) (rp T_1 T_2) ### Imply 5 24 % 5.53/5.79 26. (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (rp T_1 T_2) (rp T_0 T_1) (rr T_2 T_3) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) ### All 25 % 5.53/5.79 27. ((rr T_2 T_3) /\ (cowlThing T_3)) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) (rp T_0 T_1) (rp T_1 T_2) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) ### And 26 % 5.53/5.79 28. (Ex W, ((rr T_2 W) /\ (cowlThing W))) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (rp T_1 T_2) (rp T_0 T_1) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) ### Exists 27 % 5.53/5.79 29. ((rp T_0 T_2) => (Ex W, ((rr T_2 W) /\ (cowlThing W)))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (rp T_0 T_1) (rp T_1 T_2) ### Imply 5 28 % 5.53/5.79 30. (All Z, ((rp T_0 Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) (rp T_1 T_2) (rp T_0 T_1) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) ### All 29 % 5.53/5.79 31. ((rp T_1 T_2) /\ (cowlThing T_2)) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (rp T_0 T_1) (All Z, ((rp T_0 Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) ### And 30 % 5.53/5.79 32. (Ex W, ((rp T_1 W) /\ (cowlThing W))) (All Z, ((rp T_0 Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) (rp T_0 T_1) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) ### Exists 31 % 5.53/5.79 33. ((rp T_0 T_1) => (Ex W, ((rp T_1 W) /\ (cowlThing W)))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (All Z, ((rp T_0 Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) (rp T_0 T_1) ### Imply 2 32 % 5.53/5.79 34. (All Z, ((rp T_0 Z) => (Ex W, ((rp Z W) /\ (cowlThing W))))) (rp T_0 T_1) (All Z, ((rp T_0 Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) ### All 33 % 5.53/5.79 35. ((rp T_0 T_1) /\ (cowlThing T_1)) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (rs (i2003_11_14_17_19_28752) T_0) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (All Z, ((rp T_0 Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) (All Z, ((rp T_0 Z) => (Ex W, ((rp Z W) /\ (cowlThing W))))) ### And 34 % 5.53/5.79 36. (Ex Z, ((rp T_0 Z) /\ (cowlThing Z))) (All Z, ((rp T_0 Z) => (Ex W, ((rp Z W) /\ (cowlThing W))))) (All Z, ((rp T_0 Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) (All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) (rs (i2003_11_14_17_19_28752) T_0) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) ### Exists 35 % 5.53/5.79 37. ((rs (i2003_11_14_17_19_28752) T_0) /\ ((Ex Z, ((rp T_0 Z) /\ (cowlThing Z))) /\ ((All Z, ((rr T_0 Z) => (cc Z))) /\ ((All Z, ((rp T_0 Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) /\ ((All Z, ((rp T_0 Z) => (Ex W, ((rp Z W) /\ (cowlThing W))))) /\ ((All Z, ((rp T_0 Z) => (All W, ((rr Z W) => (cc W))))) /\ (Ex Z, ((rr T_0 Z) /\ (cowlThing Z))))))))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) ### ConjTree 36 % 5.53/5.79 38. (Ex Y, ((rs (i2003_11_14_17_19_28752) Y) /\ ((Ex Z, ((rp Y Z) /\ (cowlThing Z))) /\ ((All Z, ((rr Y Z) => (cc Z))) /\ ((All Z, ((rp Y Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) /\ ((All Z, ((rp Y Z) => (Ex W, ((rp Z W) /\ (cowlThing W))))) /\ ((All Z, ((rp Y Z) => (All W, ((rr Z W) => (cc W))))) /\ (Ex Z, ((rr Y Z) /\ (cowlThing Z)))))))))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) ### Exists 37 % 5.53/5.79 39. ((cUnsatisfiable (i2003_11_14_17_19_28752)) => (Ex Y, ((rs (i2003_11_14_17_19_28752) Y) /\ ((Ex Z, ((rp Y Z) /\ (cowlThing Z))) /\ ((All Z, ((rr Y Z) => (cc Z))) /\ ((All Z, ((rp Y Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) /\ ((All Z, ((rp Y Z) => (Ex W, ((rp Z W) /\ (cowlThing W))))) /\ ((All Z, ((rp Y Z) => (All W, ((rr Z W) => (cc W))))) /\ (Ex Z, ((rr Y Z) /\ (cowlThing Z))))))))))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_19_28752)) ### Imply 1 38 % 5.53/5.79 40. (All X, ((cUnsatisfiable X) => (Ex Y, ((rs X Y) /\ ((Ex Z, ((rp Y Z) /\ (cowlThing Z))) /\ ((All Z, ((rr Y Z) => (cc Z))) /\ ((All Z, ((rp Y Z) => (Ex W, ((rr Z W) /\ (cowlThing W))))) /\ ((All Z, ((rp Y Z) => (Ex W, ((rp Z W) /\ (cowlThing W))))) /\ ((All Z, ((rp Y Z) => (All W, ((rr Z W) => (cc W))))) /\ (Ex Z, ((rr Y Z) /\ (cowlThing Z)))))))))))) (cUnsatisfiable (i2003_11_14_17_19_28752)) (All X, ((cUnsatisfiable X) => (ca X))) ### All 39 % 5.53/5.79 % SZS output end Proof % 5.53/5.79 (* END-PROOF *) %------------------------------------------------------------------------------