TSTP Solution File: KRS076+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS076+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 : n028.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 76.99s 77.26s
% Output : Proof 76.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n028.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 13:36:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 76.99/77.26 % SZS status Theorem
% 76.99/77.26 (* PROOF-FOUND *)
% 76.99/77.26 (* BEGIN-PROOF *)
% 76.99/77.26 % SZS output start Proof
% 76.99/77.26 1. (rf1 (i2003_11_14_17_19_06193) T_0) (-. (rf1 (i2003_11_14_17_19_06193) T_0)) ### Axiom
% 76.99/77.26 2. (-. (rinvF1 T_0 (i2003_11_14_17_19_06193))) (rf1 (i2003_11_14_17_19_06193) T_0) ### Definition-Pseudo(rinvF1) 1
% 76.99/77.26 3. (rf1 (i2003_11_14_17_19_06193) T_0) (-. (rf1 (i2003_11_14_17_19_06193) T_0)) ### Axiom
% 76.99/77.26 4. (rs (i2003_11_14_17_19_06193) T_1) (-. (rs (i2003_11_14_17_19_06193) T_1)) ### Axiom
% 76.99/77.26 5. (-. (rf1 (i2003_11_14_17_19_06193) T_1)) (rf1 (i2003_11_14_17_19_06193) T_1) ### Axiom
% 76.99/77.26 6. ((rs (i2003_11_14_17_19_06193) T_1) => (rf1 (i2003_11_14_17_19_06193) T_1)) (-. (rf1 (i2003_11_14_17_19_06193) T_1)) (rs (i2003_11_14_17_19_06193) T_1) ### Imply 4 5
% 76.99/77.26 7. (All Y, ((rs (i2003_11_14_17_19_06193) Y) => (rf1 (i2003_11_14_17_19_06193) Y))) (rs (i2003_11_14_17_19_06193) T_1) (-. (rf1 (i2003_11_14_17_19_06193) T_1)) ### All 6
% 76.99/77.26 8. (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (-. (rf1 (i2003_11_14_17_19_06193) T_1)) (rs (i2003_11_14_17_19_06193) T_1) ### All 7
% 76.99/77.26 9. (T_0 = T_1) (T_1 != T_0) ### Sym(=)
% 76.99/77.26 10. (rs (i2003_11_14_17_19_06193) T_1) (-. (rs (i2003_11_14_17_19_06193) T_1)) ### Axiom
% 76.99/77.26 11. (-. (rs (i2003_11_14_17_19_06193) T_0)) (rs (i2003_11_14_17_19_06193) T_0) ### Axiom
% 76.99/77.26 12. (((T_1 = T_0) /\ (rs (i2003_11_14_17_19_06193) T_1)) => (rs (i2003_11_14_17_19_06193) T_0)) (-. (rs (i2003_11_14_17_19_06193) T_0)) (rs (i2003_11_14_17_19_06193) T_1) (T_0 = T_1) ### DisjTree 9 10 11
% 76.99/77.26 13. (All C, (((T_1 = T_0) /\ (rs C T_1)) => (rs C T_0))) (T_0 = T_1) (rs (i2003_11_14_17_19_06193) T_1) (-. (rs (i2003_11_14_17_19_06193) T_0)) ### All 12
% 76.99/77.26 14. (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) T_1)) => (T_0 = T_1)) (-. (rs (i2003_11_14_17_19_06193) T_0)) (All C, (((T_1 = T_0) /\ (rs C T_1)) => (rs C T_0))) (rs (i2003_11_14_17_19_06193) T_1) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (rf1 (i2003_11_14_17_19_06193) T_0) ### DisjTree 3 8 13
% 76.99/77.26 15. (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (rf1 (i2003_11_14_17_19_06193) T_0) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (rs (i2003_11_14_17_19_06193) T_1) (All C, (((T_1 = T_0) /\ (rs C T_1)) => (rs C T_0))) (-. (rs (i2003_11_14_17_19_06193) T_0)) ### All 14
% 76.99/77.26 16. (All B, (All C, (((T_1 = B) /\ (rs C T_1)) => (rs C B)))) (-. (rs (i2003_11_14_17_19_06193) T_0)) (rs (i2003_11_14_17_19_06193) T_1) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (rf1 (i2003_11_14_17_19_06193) T_0) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) ### All 15
% 76.99/77.26 17. (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (rf1 (i2003_11_14_17_19_06193) T_0) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (rs (i2003_11_14_17_19_06193) T_1) (-. (rs (i2003_11_14_17_19_06193) T_0)) ### All 16
% 76.99/77.26 18. ((rs (i2003_11_14_17_19_06193) T_1) /\ (cowlThing T_1)) (-. (rs (i2003_11_14_17_19_06193) T_0)) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (rf1 (i2003_11_14_17_19_06193) T_0) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) ### And 17
% 76.99/77.26 19. (Ex W, ((rs (i2003_11_14_17_19_06193) W) /\ (cowlThing W))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (rf1 (i2003_11_14_17_19_06193) T_0) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (-. (rs (i2003_11_14_17_19_06193) T_0)) ### Exists 18
% 76.99/77.26 20. ((rinvF1 T_0 (i2003_11_14_17_19_06193)) => (Ex W, ((rs (i2003_11_14_17_19_06193) W) /\ (cowlThing W)))) (-. (rs (i2003_11_14_17_19_06193) T_0)) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf1 (i2003_11_14_17_19_06193) T_0) ### Imply 2 19
% 76.99/77.26 21. (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (-. (rs (i2003_11_14_17_19_06193) T_0)) ### All 20
% 76.99/77.26 22. (-. (rf (i2003_11_14_17_19_06193) T_0)) (rf (i2003_11_14_17_19_06193) T_0) ### Axiom
% 76.99/77.26 23. ((rs (i2003_11_14_17_19_06193) T_0) => (rf (i2003_11_14_17_19_06193) T_0)) (-. (rf (i2003_11_14_17_19_06193) T_0)) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) ### Imply 21 22
% 76.99/77.26 24. (All Y, ((rs (i2003_11_14_17_19_06193) Y) => (rf (i2003_11_14_17_19_06193) Y))) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (-. (rf (i2003_11_14_17_19_06193) T_0)) ### All 23
% 76.99/77.26 25. (All X, (All Y, ((rs X Y) => (rf X Y)))) (-. (rf (i2003_11_14_17_19_06193) T_0)) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) ### All 24
% 76.99/77.26 26. (rf (i2003_11_14_17_19_06193) T_2) (-. (rf (i2003_11_14_17_19_06193) T_2)) ### Axiom
% 76.99/77.26 27. (T_2 != T_0) (T_0 = T_2) ### Sym(=)
% 76.99/77.26 28. (((rf (i2003_11_14_17_19_06193) T_0) /\ (rf (i2003_11_14_17_19_06193) T_2)) => (T_0 = T_2)) (T_2 != T_0) (rf (i2003_11_14_17_19_06193) T_2) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All X, (All Y, ((rs X Y) => (rf X Y)))) ### DisjTree 25 26 27
% 76.99/77.26 29. (All Z, (((rf (i2003_11_14_17_19_06193) T_0) /\ (rf (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) (rf (i2003_11_14_17_19_06193) T_2) (T_2 != T_0) ### All 28
% 76.99/77.26 30. (All Y, (All Z, (((rf (i2003_11_14_17_19_06193) Y) /\ (rf (i2003_11_14_17_19_06193) Z)) => (Y = Z)))) (T_2 != T_0) (rf (i2003_11_14_17_19_06193) T_2) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All X, (All Y, ((rs X Y) => (rf X Y)))) ### All 29
% 76.99/77.26 31. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All Z, (((rf1 (i2003_11_14_17_19_06193) T_0) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (T_0 = Z))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) (rf (i2003_11_14_17_19_06193) T_2) (T_2 != T_0) ### All 30
% 76.99/77.26 32. (All Y, (All Z, (((rf1 (i2003_11_14_17_19_06193) Y) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (Y = Z)))) (T_2 != T_0) (rf (i2003_11_14_17_19_06193) T_2) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 31
% 76.99/77.26 33. (-. (cp T_0)) (cp T_2) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) (rf (i2003_11_14_17_19_06193) T_2) (All Y, (All Z, (((rf1 (i2003_11_14_17_19_06193) Y) /\ (rf1 (i2003_11_14_17_19_06193) Z)) => (Y = Z)))) ### P-NotP 32
% 76.99/77.26 34. (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) (rf (i2003_11_14_17_19_06193) T_2) (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))) (rf1 (i2003_11_14_17_19_06193) T_0) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (cp T_2) (-. (cp T_0)) ### All 33
% 76.99/77.26 35. ((rf1 (i2003_11_14_17_19_06193) T_0) /\ ((-. (cp T_0)) /\ (All Z, ((rinvF1 T_0 Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))))) (cp T_2) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf (i2003_11_14_17_19_06193) T_2) (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) ### ConjTree 34
% 76.99/77.26 36. (Ex Y, ((rf1 (i2003_11_14_17_19_06193) Y) /\ ((-. (cp Y)) /\ (All Z, ((rinvF1 Y Z) => (Ex W, ((rs Z W) /\ (cowlThing W)))))))) (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) (rf (i2003_11_14_17_19_06193) T_2) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (cp T_2) ### Exists 35
% 76.99/77.26 37. ((rf (i2003_11_14_17_19_06193) T_2) /\ (cp T_2)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) (Ex Y, ((rf1 (i2003_11_14_17_19_06193) Y) /\ ((-. (cp Y)) /\ (All Z, ((rinvF1 Y Z) => (Ex W, ((rs Z W) /\ (cowlThing W)))))))) ### And 36
% 76.99/77.26 38. (Ex Y, ((rf (i2003_11_14_17_19_06193) Y) /\ (cp Y))) (Ex Y, ((rf1 (i2003_11_14_17_19_06193) Y) /\ ((-. (cp Y)) /\ (All Z, ((rinvF1 Y Z) => (Ex W, ((rs Z W) /\ (cowlThing W)))))))) (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Exists 37
% 76.99/77.26 39. ((Ex Y, ((rf (i2003_11_14_17_19_06193) Y) /\ (cp Y))) /\ (Ex Y, ((rf1 (i2003_11_14_17_19_06193) Y) /\ ((-. (cp Y)) /\ (All Z, ((rinvF1 Y Z) => (Ex W, ((rs Z W) /\ (cowlThing W))))))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) ### And 38
% 76.99/77.26 40. (cUnsatisfiable (i2003_11_14_17_19_06193)) (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf1 X Y)))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Definition-Pseudo(cUnsatisfiable) 39
% 76.99/77.26 % SZS output end Proof
% 76.99/77.26 (* END-PROOF *)
%------------------------------------------------------------------------------