TSTP Solution File: KRS073+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS073+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 : n020.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 24.18s 24.37s
% Output : Proof 24.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n020.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 12:02:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 24.18/24.37 % SZS status Theorem
% 24.18/24.37 (* PROOF-FOUND *)
% 24.18/24.37 (* BEGIN-PROOF *)
% 24.18/24.37 % SZS output start Proof
% 24.18/24.37 1. (rf (i2003_11_14_17_18_54369) T_0) (-. (rf (i2003_11_14_17_18_54369) T_0)) ### Axiom
% 24.18/24.37 2. (-. (rinvF T_0 (i2003_11_14_17_18_54369))) (rf (i2003_11_14_17_18_54369) T_0) ### Definition-Pseudo(rinvF) 1
% 24.18/24.37 3. (rf (i2003_11_14_17_18_54369) T_0) (-. (rf (i2003_11_14_17_18_54369) T_0)) ### Axiom
% 24.18/24.37 4. (rs (i2003_11_14_17_18_54369) T_1) (-. (rs (i2003_11_14_17_18_54369) T_1)) ### Axiom
% 24.18/24.37 5. (-. (rf (i2003_11_14_17_18_54369) T_1)) (rf (i2003_11_14_17_18_54369) T_1) ### Axiom
% 24.18/24.37 6. ((rs (i2003_11_14_17_18_54369) T_1) => (rf (i2003_11_14_17_18_54369) T_1)) (-. (rf (i2003_11_14_17_18_54369) T_1)) (rs (i2003_11_14_17_18_54369) T_1) ### Imply 4 5
% 24.18/24.37 7. (All Y, ((rs (i2003_11_14_17_18_54369) Y) => (rf (i2003_11_14_17_18_54369) Y))) (rs (i2003_11_14_17_18_54369) T_1) (-. (rf (i2003_11_14_17_18_54369) T_1)) ### All 6
% 24.18/24.37 8. (All X, (All Y, ((rs X Y) => (rf X Y)))) (-. (rf (i2003_11_14_17_18_54369) T_1)) (rs (i2003_11_14_17_18_54369) T_1) ### All 7
% 24.18/24.37 9. (T_0 = T_1) (T_1 != T_0) ### Sym(=)
% 24.18/24.37 10. (rs (i2003_11_14_17_18_54369) T_1) (-. (rs (i2003_11_14_17_18_54369) T_1)) ### Axiom
% 24.18/24.37 11. (-. (rs (i2003_11_14_17_18_54369) T_0)) (rs (i2003_11_14_17_18_54369) T_0) ### Axiom
% 24.18/24.37 12. (((T_1 = T_0) /\ (rs (i2003_11_14_17_18_54369) T_1)) => (rs (i2003_11_14_17_18_54369) T_0)) (-. (rs (i2003_11_14_17_18_54369) T_0)) (rs (i2003_11_14_17_18_54369) T_1) (T_0 = T_1) ### DisjTree 9 10 11
% 24.18/24.37 13. (All C, (((T_1 = T_0) /\ (rs C T_1)) => (rs C T_0))) (T_0 = T_1) (rs (i2003_11_14_17_18_54369) T_1) (-. (rs (i2003_11_14_17_18_54369) T_0)) ### All 12
% 24.18/24.37 14. (All B, (All C, (((T_1 = B) /\ (rs C T_1)) => (rs C B)))) (-. (rs (i2003_11_14_17_18_54369) T_0)) (rs (i2003_11_14_17_18_54369) T_1) (T_0 = T_1) ### All 13
% 24.18/24.37 15. (((rf (i2003_11_14_17_18_54369) T_0) /\ (rf (i2003_11_14_17_18_54369) T_1)) => (T_0 = T_1)) (-. (rs (i2003_11_14_17_18_54369) T_0)) (All B, (All C, (((T_1 = B) /\ (rs C T_1)) => (rs C B)))) (rs (i2003_11_14_17_18_54369) T_1) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_18_54369) T_0) ### DisjTree 3 8 14
% 24.18/24.37 16. (All Z, (((rf (i2003_11_14_17_18_54369) T_0) /\ (rf (i2003_11_14_17_18_54369) Z)) => (T_0 = Z))) (rf (i2003_11_14_17_18_54369) T_0) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rs (i2003_11_14_17_18_54369) T_1) (All B, (All C, (((T_1 = B) /\ (rs C T_1)) => (rs C B)))) (-. (rs (i2003_11_14_17_18_54369) T_0)) ### All 15
% 24.18/24.37 17. (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (-. (rs (i2003_11_14_17_18_54369) T_0)) (rs (i2003_11_14_17_18_54369) T_1) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_18_54369) T_0) (All Z, (((rf (i2003_11_14_17_18_54369) T_0) /\ (rf (i2003_11_14_17_18_54369) Z)) => (T_0 = Z))) ### All 16
% 24.18/24.37 18. ((rs (i2003_11_14_17_18_54369) T_1) /\ (cp T_1)) (All Z, (((rf (i2003_11_14_17_18_54369) T_0) /\ (rf (i2003_11_14_17_18_54369) Z)) => (T_0 = Z))) (rf (i2003_11_14_17_18_54369) T_0) (All X, (All Y, ((rs X Y) => (rf X Y)))) (-. (rs (i2003_11_14_17_18_54369) T_0)) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) ### And 17
% 24.18/24.37 19. (Ex W, ((rs (i2003_11_14_17_18_54369) W) /\ (cp W))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (-. (rs (i2003_11_14_17_18_54369) T_0)) (All X, (All Y, ((rs X Y) => (rf X Y)))) (rf (i2003_11_14_17_18_54369) T_0) (All Z, (((rf (i2003_11_14_17_18_54369) T_0) /\ (rf (i2003_11_14_17_18_54369) Z)) => (T_0 = Z))) ### Exists 18
% 24.18/24.37 20. ((rinvF T_0 (i2003_11_14_17_18_54369)) => (Ex W, ((rs (i2003_11_14_17_18_54369) W) /\ (cp W)))) (All Z, (((rf (i2003_11_14_17_18_54369) T_0) /\ (rf (i2003_11_14_17_18_54369) Z)) => (T_0 = Z))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (-. (rs (i2003_11_14_17_18_54369) T_0)) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf (i2003_11_14_17_18_54369) T_0) ### Imply 2 19
% 24.18/24.37 21. (All Z, ((rinvF T_0 Z) => (Ex W, ((rs Z W) /\ (cp W))))) (rf (i2003_11_14_17_18_54369) T_0) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (-. (rs (i2003_11_14_17_18_54369) T_0)) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All Z, (((rf (i2003_11_14_17_18_54369) T_0) /\ (rf (i2003_11_14_17_18_54369) Z)) => (T_0 = Z))) ### All 20
% 24.18/24.37 22. (All Y, (All Z, (((rf (i2003_11_14_17_18_54369) Y) /\ (rf (i2003_11_14_17_18_54369) Z)) => (Y = Z)))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (-. (rs (i2003_11_14_17_18_54369) T_0)) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf (i2003_11_14_17_18_54369) T_0) (All Z, ((rinvF T_0 Z) => (Ex W, ((rs Z W) /\ (cp W))))) ### All 21
% 24.18/24.37 23. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All Z, ((rinvF T_0 Z) => (Ex W, ((rs Z W) /\ (cp W))))) (rf (i2003_11_14_17_18_54369) T_0) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (-. (rs (i2003_11_14_17_18_54369) T_0)) (All X, (All Y, ((rs X Y) => (rf X Y)))) ### All 22
% 24.18/24.37 24. (-. (rinvS T_0 (i2003_11_14_17_18_54369))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf (i2003_11_14_17_18_54369) T_0) (All Z, ((rinvF T_0 Z) => (Ex W, ((rs Z W) /\ (cp W))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Definition-Pseudo(rinvS) 23
% 24.18/24.37 25. (-. (cp (i2003_11_14_17_18_54369))) (cp (i2003_11_14_17_18_54369)) ### Axiom
% 24.18/24.37 26. ((rinvS T_0 (i2003_11_14_17_18_54369)) => (cp (i2003_11_14_17_18_54369))) (-. (cp (i2003_11_14_17_18_54369))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All Z, ((rinvF T_0 Z) => (Ex W, ((rs Z W) /\ (cp W))))) (rf (i2003_11_14_17_18_54369) T_0) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) ### Imply 24 25
% 24.18/24.37 27. (All Z, ((rinvS T_0 Z) => (cp Z))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (rf (i2003_11_14_17_18_54369) T_0) (All Z, ((rinvF T_0 Z) => (Ex W, ((rs Z W) /\ (cp W))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (-. (cp (i2003_11_14_17_18_54369))) ### All 26
% 24.18/24.37 28. ((rf (i2003_11_14_17_18_54369) T_0) /\ ((All Z, ((rinvS T_0 Z) => (cp Z))) /\ (All Z, ((rinvF T_0 Z) => (Ex W, ((rs Z W) /\ (cp W))))))) (-. (cp (i2003_11_14_17_18_54369))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf 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) => (rf X Y)))) ### ConjTree 27
% 24.18/24.37 29. (Ex Y, ((rf (i2003_11_14_17_18_54369) Y) /\ ((All Z, ((rinvS Y Z) => (cp Z))) /\ (All Z, ((rinvF Y Z) => (Ex W, ((rs Z W) /\ (cp W)))))))) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (-. (cp (i2003_11_14_17_18_54369))) ### Exists 28
% 24.18/24.37 30. ((Ex Y, ((rf (i2003_11_14_17_18_54369) Y) /\ ((All Z, ((rinvS Y Z) => (cp Z))) /\ (All Z, ((rinvF Y Z) => (Ex W, ((rs Z W) /\ (cp W)))))))) /\ (-. (cp (i2003_11_14_17_18_54369)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf 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) => (rf X Y)))) ### And 29
% 24.18/24.37 31. (cUnsatisfiable (i2003_11_14_17_18_54369)) (All X, (All Y, ((rs X Y) => (rf X Y)))) (All A, (All B, (All C, (((A = B) /\ (rs C A)) => (rs C B))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Definition-Pseudo(cUnsatisfiable) 30
% 24.18/24.37 % SZS output end Proof
% 24.18/24.37 (* END-PROOF *)
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