TSTP Solution File: KRS082+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% 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 *)
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