TSTP Solution File: KRS113+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS113+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 : n017.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 03:31:56 EDT 2022
% Result : Unsatisfiable 7.52s 7.74s
% Output : Proof 7.52s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n017.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 10:18:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.52/7.74 % SZS status Theorem
% 7.52/7.74 (* PROOF-FOUND *)
% 7.52/7.74 (* BEGIN-PROOF *)
% 7.52/7.74 % SZS output start Proof
% 7.52/7.74 1. (rr (i2003_11_14_17_21_22376) T_0) (-. (rr (i2003_11_14_17_21_22376) T_0)) ### Axiom
% 7.52/7.74 2. (rs (i2003_11_14_17_21_22376) T_1) (-. (rs (i2003_11_14_17_21_22376) T_1)) ### Axiom
% 7.52/7.74 3. (-. (rr (i2003_11_14_17_21_22376) T_1)) (rr (i2003_11_14_17_21_22376) T_1) ### Axiom
% 7.52/7.74 4. ((rs (i2003_11_14_17_21_22376) T_1) => (rr (i2003_11_14_17_21_22376) T_1)) (-. (rr (i2003_11_14_17_21_22376) T_1)) (rs (i2003_11_14_17_21_22376) T_1) ### Imply 2 3
% 7.52/7.74 5. (All Y, ((rs (i2003_11_14_17_21_22376) Y) => (rr (i2003_11_14_17_21_22376) Y))) (rs (i2003_11_14_17_21_22376) T_1) (-. (rr (i2003_11_14_17_21_22376) T_1)) ### All 4
% 7.52/7.74 6. (All X, (All Y, ((rs X Y) => (rr X Y)))) (-. (rr (i2003_11_14_17_21_22376) T_1)) (rs (i2003_11_14_17_21_22376) T_1) ### All 5
% 7.52/7.74 7. (T_0 = T_1) (T_1 != T_0) ### Sym(=)
% 7.52/7.74 8. (rs (i2003_11_14_17_21_22376) T_1) (-. (rs (i2003_11_14_17_21_22376) T_1)) ### Axiom
% 7.52/7.74 9. (-. (rinvS T_1 (i2003_11_14_17_21_22376))) (rs (i2003_11_14_17_21_22376) T_1) ### Definition-Pseudo(rinvS) 8
% 7.52/7.74 10. (-. (rs (i2003_11_14_17_21_22376) T_0)) (rs (i2003_11_14_17_21_22376) T_0) ### Axiom
% 7.52/7.74 11. (rinvS T_0 (i2003_11_14_17_21_22376)) (-. (rs (i2003_11_14_17_21_22376) T_0)) ### Definition-Pseudo(rinvS) 10
% 7.52/7.74 12. (((T_1 = T_0) /\ (rinvS T_1 (i2003_11_14_17_21_22376))) => (rinvS T_0 (i2003_11_14_17_21_22376))) (-. (rs (i2003_11_14_17_21_22376) T_0)) (rs (i2003_11_14_17_21_22376) T_1) (T_0 = T_1) ### DisjTree 7 9 11
% 7.52/7.74 13. (All C, (((T_1 = T_0) /\ (rinvS T_1 C)) => (rinvS T_0 C))) (T_0 = T_1) (rs (i2003_11_14_17_21_22376) T_1) (-. (rs (i2003_11_14_17_21_22376) T_0)) ### All 12
% 7.52/7.74 14. (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) T_1)) => (T_0 = T_1)) (-. (rs (i2003_11_14_17_21_22376) T_0)) (All C, (((T_1 = T_0) /\ (rinvS T_1 C)) => (rinvS T_0 C))) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) ### DisjTree 1 6 13
% 7.52/7.74 15. (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_21_22376) T_1) (All C, (((T_1 = T_0) /\ (rinvS T_1 C)) => (rinvS T_0 C))) (-. (rs (i2003_11_14_17_21_22376) T_0)) ### All 14
% 7.52/7.74 16. (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) (-. (rs (i2003_11_14_17_21_22376) T_0)) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) ### All 15
% 7.52/7.74 17. (-. (rinvS T_0 (i2003_11_14_17_21_22376))) (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_21_22376) T_1) (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) ### Definition-Pseudo(rinvS) 16
% 7.52/7.74 18. (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) (-. (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y))) ### Axiom
% 7.52/7.74 19. (cp (i2003_11_14_17_21_22376)) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) ### Definition-Pseudo(cp) 18
% 7.52/7.74 20. ((rinvS T_0 (i2003_11_14_17_21_22376)) => (cp (i2003_11_14_17_21_22376))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) ### Imply 17 19
% 7.52/7.74 21. (All Y, ((rinvS T_0 Y) => (cp Y))) (All Y1, (((rr (i2003_11_14_17_21_22376) T_0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (T_0 = Y1))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_21_22376) T_1) (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) ### All 20
% 7.52/7.74 22. (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) (All B, (All C, (((T_1 = B) /\ (rinvS T_1 C)) => (rinvS B C)))) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y, ((rinvS T_0 Y) => (cp Y))) ### All 21
% 7.52/7.74 23. (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All Y, ((rinvS T_0 Y) => (cp Y))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rs (i2003_11_14_17_21_22376) T_1) (Ex Y, (ra_Px1 (i2003_11_14_17_21_22376) Y)) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) ### All 22
% 7.52/7.74 24. (cpxcomp (i2003_11_14_17_21_22376)) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (rs (i2003_11_14_17_21_22376) T_1) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y, ((rinvS T_0 Y) => (cp Y))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### Definition-Pseudo(cpxcomp) 23
% 7.52/7.74 25. ((rs (i2003_11_14_17_21_22376) T_1) /\ (cp T_1)) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All Y, ((rinvS T_0 Y) => (cp Y))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (cpxcomp (i2003_11_14_17_21_22376)) ### And 24
% 7.52/7.74 26. (Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) (cpxcomp (i2003_11_14_17_21_22376)) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (rr (i2003_11_14_17_21_22376) T_0) (All Y, ((rinvS T_0 Y) => (cp Y))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### Exists 25
% 7.52/7.74 27. (ca_Vx2 T_0) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (rr (i2003_11_14_17_21_22376) T_0) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (cpxcomp (i2003_11_14_17_21_22376)) (Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) ### Definition-Pseudo(ca_Vx2) 26
% 7.52/7.74 28. ((rr (i2003_11_14_17_21_22376) T_0) /\ (ca_Vx2 T_0)) (Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) (cpxcomp (i2003_11_14_17_21_22376)) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### And 27
% 7.52/7.74 29. (Ex Y, ((rr (i2003_11_14_17_21_22376) Y) /\ (ca_Vx2 Y))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) (cpxcomp (i2003_11_14_17_21_22376)) (Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) ### Exists 28
% 7.52/7.74 30. ((All Y0, (All Y1, (((rr (i2003_11_14_17_21_22376) Y0) /\ (rr (i2003_11_14_17_21_22376) Y1)) => (Y0 = Y1)))) /\ ((Ex Y, ((rr (i2003_11_14_17_21_22376) Y) /\ (ca_Vx2 Y))) /\ ((Ex Y, ((rs (i2003_11_14_17_21_22376) Y) /\ (cp Y))) /\ (cpxcomp (i2003_11_14_17_21_22376))))) (All X, (All Y, ((rs X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) ### ConjTree 29
% 7.52/7.74 31. (cUnsatisfiable (i2003_11_14_17_21_22376)) (All A, (All B, (All C, (((A = B) /\ (rinvS A C)) => (rinvS B C))))) (All X, (All Y, ((rs X Y) => (rr X Y)))) ### Definition-Pseudo(cUnsatisfiable) 30
% 7.52/7.74 % SZS output end Proof
% 7.52/7.74 (* END-PROOF *)
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