%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS116+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 : n023.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 03:31:57 EDT 2022 % Result : Unsatisfiable 2.26s 2.49s % Output : Proof 2.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS116+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jun 7 18:01:38 EDT 2022 % 0.13/0.33 % CPUTime : % 2.26/2.49 % SZS status Theorem % 2.26/2.49 (* PROOF-FOUND *) % 2.26/2.49 (* BEGIN-PROOF *) % 2.26/2.49 % SZS output start Proof % 2.26/2.49 1. (cUnsatisfiable (i2003_11_14_17_21_33997)) (-. (cUnsatisfiable (i2003_11_14_17_21_33997))) ### Axiom % 2.26/2.49 2. (rp T_0 T_1) (-. (rp T_0 T_1)) ### Axiom % 2.26/2.49 3. (rp T_0 T_1) (-. (rp T_0 T_1)) ### Axiom % 2.26/2.49 4. (T_2 != T_2) ### Refl(=) % 2.26/2.49 5. (-. (rp T_0 T_2)) (rp T_1 T_2) (rp T_0 T_1) ### Trans 3 4 % 2.26/2.49 6. (rr T_2 T_3) (-. (rr T_2 T_3)) ### Axiom % 2.26/2.49 7. (rr T_2 T_3) (-. (rr T_2 T_3)) ### Axiom % 2.26/2.49 8. (-. (rinvR T_3 T_2)) (rr T_2 T_3) ### Definition-Pseudo(rinvR) 7 % 2.26/2.49 9. (-. (rinvP T_2 T_0)) (rp T_0 T_1) (rp T_1 T_2) ### Definition-Pseudo(rinvP) 5 % 2.26/2.49 10. (rs (i2003_11_14_17_21_33997) T_0) (-. (rs (i2003_11_14_17_21_33997) T_0)) ### Axiom % 2.26/2.49 11. (-. (rinvS T_0 (i2003_11_14_17_21_33997))) (rs (i2003_11_14_17_21_33997) T_0) ### Definition-Pseudo(rinvS) 10 % 2.26/2.49 12. (cUnsatisfiable (i2003_11_14_17_21_33997)) (-. (cUnsatisfiable (i2003_11_14_17_21_33997))) ### Axiom % 2.26/2.49 13. (Ex Y, (ra_Px1 (i2003_11_14_17_21_33997) Y)) (-. (Ex Y, (ra_Px1 (i2003_11_14_17_21_33997) Y))) ### Axiom % 2.26/2.49 14. (ca (i2003_11_14_17_21_33997)) (Ex Y, (ra_Px1 (i2003_11_14_17_21_33997) Y)) ### Definition-Pseudo(ca) 13 % 2.26/2.49 15. ((cUnsatisfiable (i2003_11_14_17_21_33997)) => (ca (i2003_11_14_17_21_33997))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_33997) Y)) (cUnsatisfiable (i2003_11_14_17_21_33997)) ### Imply 12 14 % 2.26/2.49 16. (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (Ex Y, (ra_Px1 (i2003_11_14_17_21_33997) Y)) ### All 15 % 2.26/2.49 17. (caxcomp (i2003_11_14_17_21_33997)) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) ### Definition-Pseudo(caxcomp) 16 % 2.26/2.49 18. ((rinvS T_0 (i2003_11_14_17_21_33997)) => (caxcomp (i2003_11_14_17_21_33997))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) ### Imply 11 17 % 2.26/2.49 19. (All Y, ((rinvS T_0 Y) => (caxcomp Y))) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) ### All 18 % 2.26/2.49 20. (ca_Vx6 T_0) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) ### Definition-Pseudo(ca_Vx6) 19 % 2.26/2.49 21. ((rinvP T_2 T_0) => (ca_Vx6 T_0)) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_1 T_2) (rp T_0 T_1) ### Imply 9 20 % 2.26/2.49 22. (All Y, ((rinvP T_2 Y) => (ca_Vx6 Y))) (rp T_0 T_1) (rp T_1 T_2) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) ### All 21 % 2.26/2.49 23. (ca_Vx7 T_2) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_1 T_2) (rp T_0 T_1) ### Definition-Pseudo(ca_Vx7) 22 % 2.26/2.49 24. ((rinvR T_3 T_2) => (ca_Vx7 T_2)) (rp T_0 T_1) (rp T_1 T_2) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) (rr T_2 T_3) ### Imply 8 23 % 2.26/2.49 25. (All Y, ((rinvR T_3 Y) => (ca_Vx7 Y))) (rr T_2 T_3) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_1 T_2) (rp T_0 T_1) ### All 24 % 2.26/2.49 26. (cc T_3) (rp T_0 T_1) (rp T_1 T_2) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) (rr T_2 T_3) ### Definition-Pseudo(cc) 25 % 2.26/2.49 27. ((rr T_2 T_3) => (cc T_3)) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_1 T_2) (rp T_0 T_1) (rr T_2 T_3) ### Imply 6 26 % 2.26/2.49 28. (All Y, ((rr T_2 Y) => (cc Y))) (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_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) ### All 27 % 2.26/2.49 29. (ca_Vx5 T_2) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_1 T_2) (rp T_0 T_1) (rr T_2 T_3) ### Definition-Pseudo(ca_Vx5) 28 % 2.26/2.49 30. ((rp T_0 T_2) => (ca_Vx5 T_2)) (rr T_2 T_3) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) (rp T_0 T_1) (rp T_1 T_2) ### Imply 5 29 % 2.26/2.49 31. (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) (rp T_1 T_2) (rp T_0 T_1) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (rr T_2 T_3) ### All 30 % 2.26/2.49 32. ((rr T_2 T_3) /\ (cowlThing T_3)) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) (rp T_0 T_1) (rp T_1 T_2) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) ### And 31 % 2.26/2.49 33. (Ex Y, ((rr T_2 Y) /\ (cowlThing Y))) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) (rp T_1 T_2) (rp T_0 T_1) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) ### Exists 32 % 2.26/2.49 34. (ca_Vx3 T_2) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) (rp T_0 T_1) (rp T_1 T_2) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) ### Definition-Pseudo(ca_Vx3) 33 % 2.26/2.49 35. ((rp T_0 T_2) => (ca_Vx3 T_2)) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_0 T_1) (rp T_1 T_2) ### Imply 5 34 % 2.26/2.49 36. (All Y, ((rp T_0 Y) => (ca_Vx3 Y))) (rp T_1 T_2) (rp T_0 T_1) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) ### All 35 % 2.26/2.49 37. ((rp T_1 T_2) /\ (cowlThing T_2)) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_0 T_1) (All Y, ((rp T_0 Y) => (ca_Vx3 Y))) ### And 36 % 2.26/2.49 38. (Ex Y, ((rp T_1 Y) /\ (cowlThing Y))) (All Y, ((rp T_0 Y) => (ca_Vx3 Y))) (rp T_0 T_1) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) ### Exists 37 % 2.26/2.49 39. (ca_Vx4 T_1) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (rp T_0 T_1) (All Y, ((rp T_0 Y) => (ca_Vx3 Y))) ### Definition-Pseudo(ca_Vx4) 38 % 2.26/2.49 40. ((rp T_0 T_1) => (ca_Vx4 T_1)) (All Y, ((rp T_0 Y) => (ca_Vx3 Y))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) (rp T_0 T_1) ### Imply 2 39 % 2.26/2.49 41. (All Y, ((rp T_0 Y) => (ca_Vx4 Y))) (rp T_0 T_1) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (All Y, ((rp T_0 Y) => (ca_Vx3 Y))) ### All 40 % 2.26/2.49 42. ((rp T_0 T_1) /\ (cowlThing T_1)) (All Y, ((rp T_0 Y) => (ca_Vx3 Y))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) (All Y, ((rp T_0 Y) => (ca_Vx4 Y))) ### And 41 % 2.26/2.49 43. (Ex Y, ((rp T_0 Y) /\ (cowlThing Y))) (All Y, ((rp T_0 Y) => (ca_Vx4 Y))) (All Y, ((rp T_0 Y) => (ca_Vx5 Y))) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) (All Y, ((rp T_0 Y) => (ca_Vx3 Y))) ### Exists 42 % 2.26/2.49 44. ((All Y, ((rp T_0 Y) => (ca_Vx3 Y))) /\ ((All Y, ((rp T_0 Y) => (ca_Vx5 Y))) /\ ((All Y, ((rr T_0 Y) => (cc Y))) /\ ((Ex Y, ((rr T_0 Y) /\ (cowlThing Y))) /\ ((Ex Y, ((rp T_0 Y) /\ (cowlThing Y))) /\ (All Y, ((rp T_0 Y) => (ca_Vx4 Y)))))))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (rs (i2003_11_14_17_21_33997) T_0) ### ConjTree 43 % 2.26/2.49 45. (ca_Ax2 T_0) (rs (i2003_11_14_17_21_33997) T_0) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) ### Definition-Pseudo(ca_Ax2) 44 % 2.26/2.49 46. ((rs (i2003_11_14_17_21_33997) T_0) /\ (ca_Ax2 T_0)) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) ### And 45 % 2.26/2.49 47. (Ex Y, ((rs (i2003_11_14_17_21_33997) Y) /\ (ca_Ax2 Y))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) ### Exists 46 % 2.26/2.49 48. ((cUnsatisfiable (i2003_11_14_17_21_33997)) => (Ex Y, ((rs (i2003_11_14_17_21_33997) Y) /\ (ca_Ax2 Y)))) (All X, ((cUnsatisfiable X) => (ca X))) (cUnsatisfiable (i2003_11_14_17_21_33997)) ### Imply 1 47 % 2.26/2.49 49. (All X, ((cUnsatisfiable X) => (Ex Y, ((rs X Y) /\ (ca_Ax2 Y))))) (cUnsatisfiable (i2003_11_14_17_21_33997)) (All X, ((cUnsatisfiable X) => (ca X))) ### All 48 % 2.26/2.49 % SZS output end Proof % 2.26/2.49 (* END-PROOF *) %------------------------------------------------------------------------------