TSTP Solution File: KRS108+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS108+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 : n032.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 03:31:55 EDT 2022
% Result : Unsatisfiable 2.34s 2.56s
% Output : Proof 2.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : KRS108+1 : TPTP v8.1.0. Released v3.1.0.
% 0.02/0.08 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Tue Jun 7 12:16:35 EDT 2022
% 0.07/0.26 % CPUTime :
% 2.34/2.56 % SZS status Theorem
% 2.34/2.56 (* PROOF-FOUND *)
% 2.34/2.56 (* BEGIN-PROOF *)
% 2.34/2.56 % SZS output start Proof
% 2.34/2.56 1. (rr T_0 (i2003_11_14_17_21_04740)) (-. (rr T_0 (i2003_11_14_17_21_04740))) ### Axiom
% 2.34/2.56 2. (rr T_0 T_1) (-. (rr T_0 T_1)) ### Axiom
% 2.34/2.56 3. (cp1 T_1) (-. (cp1 T_1)) ### Axiom
% 2.34/2.56 4. (-. (ca_Cx1 T_1)) (ca_Cx1 T_1) ### Axiom
% 2.34/2.56 5. ((cp1 T_1) => (ca_Cx1 T_1)) (-. (ca_Cx1 T_1)) (cp1 T_1) ### Imply 3 4
% 2.34/2.56 6. (All X, ((cp1 X) => (ca_Cx1 X))) (cp1 T_1) (-. (ca_Cx1 T_1)) ### All 5
% 2.34/2.56 7. ((i2003_11_14_17_21_04740) = T_1) (T_1 != (i2003_11_14_17_21_04740)) ### Sym(=)
% 2.34/2.56 8. (ca_Cx1 T_1) (-. (ca_Cx1 T_1)) ### Axiom
% 2.34/2.56 9. (-. (ca_Cx1 (i2003_11_14_17_21_04740))) (ca_Cx1 (i2003_11_14_17_21_04740)) ### Axiom
% 2.34/2.56 10. (((T_1 = (i2003_11_14_17_21_04740)) /\ (ca_Cx1 T_1)) => (ca_Cx1 (i2003_11_14_17_21_04740))) (-. (ca_Cx1 (i2003_11_14_17_21_04740))) (ca_Cx1 T_1) ((i2003_11_14_17_21_04740) = T_1) ### DisjTree 7 8 9
% 2.34/2.56 11. (All B, (((T_1 = B) /\ (ca_Cx1 T_1)) => (ca_Cx1 B))) ((i2003_11_14_17_21_04740) = T_1) (ca_Cx1 T_1) (-. (ca_Cx1 (i2003_11_14_17_21_04740))) ### All 10
% 2.34/2.56 12. (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (-. (ca_Cx1 (i2003_11_14_17_21_04740))) (ca_Cx1 T_1) ((i2003_11_14_17_21_04740) = T_1) ### All 11
% 2.34/2.56 13. (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) (-. (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0))) ### Axiom
% 2.34/2.56 14. (cp2xcomp (i2003_11_14_17_21_04740)) (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) ### Definition-Pseudo(cp2xcomp) 13
% 2.34/2.56 15. ((cp2xcomp (i2003_11_14_17_21_04740)) /\ ((cp5xcomp (i2003_11_14_17_21_04740)) /\ ((cp3xcomp (i2003_11_14_17_21_04740)) /\ (cp4xcomp (i2003_11_14_17_21_04740))))) (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) ### ConjTree 14
% 2.34/2.56 16. ((ca_Cx1 (i2003_11_14_17_21_04740)) <=> ((cp2xcomp (i2003_11_14_17_21_04740)) /\ ((cp5xcomp (i2003_11_14_17_21_04740)) /\ ((cp3xcomp (i2003_11_14_17_21_04740)) /\ (cp4xcomp (i2003_11_14_17_21_04740)))))) (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) ((i2003_11_14_17_21_04740) = T_1) (ca_Cx1 T_1) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) ### Equiv 12 15
% 2.34/2.56 17. (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (ca_Cx1 T_1) ((i2003_11_14_17_21_04740) = T_1) (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) ### All 16
% 2.34/2.56 18. ((ca_Cx1 T_1) <=> ((cp2xcomp T_1) /\ ((cp5xcomp T_1) /\ ((cp3xcomp T_1) /\ (cp4xcomp T_1))))) (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) ((i2003_11_14_17_21_04740) = T_1) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (cp1 T_1) (All X, ((cp1 X) => (ca_Cx1 X))) ### Equiv 6 17
% 2.34/2.56 19. (All X, ((cp1 X) => (ca_Cx1 X))) (cp1 T_1) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) ((i2003_11_14_17_21_04740) = T_1) (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) ### All 18
% 2.34/2.56 20. (((rr T_0 (i2003_11_14_17_21_04740)) /\ (rr T_0 T_1)) => ((i2003_11_14_17_21_04740) = T_1)) (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (cp1 T_1) (All X, ((cp1 X) => (ca_Cx1 X))) (rr T_0 T_1) (rr T_0 (i2003_11_14_17_21_04740)) ### DisjTree 1 2 19
% 2.34/2.56 21. (All Y1, (((rr T_0 (i2003_11_14_17_21_04740)) /\ (rr T_0 Y1)) => ((i2003_11_14_17_21_04740) = Y1))) (rr T_0 (i2003_11_14_17_21_04740)) (rr T_0 T_1) (All X, ((cp1 X) => (ca_Cx1 X))) (cp1 T_1) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) ### All 20
% 2.34/2.56 22. (All Y0, (All Y1, (((rr T_0 Y0) /\ (rr T_0 Y1)) => (Y0 = Y1)))) (Ex Y0, (ra_Px5 (i2003_11_14_17_21_04740) Y0)) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (cp1 T_1) (All X, ((cp1 X) => (ca_Cx1 X))) (rr T_0 T_1) (rr T_0 (i2003_11_14_17_21_04740)) ### All 21
% 2.34/2.56 23. (cp2 (i2003_11_14_17_21_04740)) (rr T_0 (i2003_11_14_17_21_04740)) (rr T_0 T_1) (All X, ((cp1 X) => (ca_Cx1 X))) (cp1 T_1) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All Y0, (All Y1, (((rr T_0 Y0) /\ (rr T_0 Y1)) => (Y0 = Y1)))) ### Definition-Pseudo(cp2) 22
% 2.34/2.56 24. ((rr T_0 T_1) /\ (cp1 T_1)) (All Y0, (All Y1, (((rr T_0 Y0) /\ (rr T_0 Y1)) => (Y0 = Y1)))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All X, ((cp1 X) => (ca_Cx1 X))) (rr T_0 (i2003_11_14_17_21_04740)) (cp2 (i2003_11_14_17_21_04740)) ### And 23
% 2.34/2.56 25. (Ex Y, ((rr T_0 Y) /\ (cp1 Y))) (cp2 (i2003_11_14_17_21_04740)) (rr T_0 (i2003_11_14_17_21_04740)) (All X, ((cp1 X) => (ca_Cx1 X))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All Y0, (All Y1, (((rr T_0 Y0) /\ (rr T_0 Y1)) => (Y0 = Y1)))) ### Exists 24
% 2.34/2.56 26. ((Ex Y, ((rr T_0 Y) /\ (cp1 Y))) /\ (All Y0, (All Y1, (((rr T_0 Y0) /\ (rr T_0 Y1)) => (Y0 = Y1))))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All X, ((cp1 X) => (ca_Cx1 X))) (rr T_0 (i2003_11_14_17_21_04740)) (cp2 (i2003_11_14_17_21_04740)) ### And 25
% 2.34/2.56 27. (ca_Ax14 T_0) (cp2 (i2003_11_14_17_21_04740)) (rr T_0 (i2003_11_14_17_21_04740)) (All X, ((cp1 X) => (ca_Cx1 X))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) ### Definition-Pseudo(ca_Ax14) 26
% 2.34/2.56 28. (rinvR (i2003_11_14_17_21_04740) T_0) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All X, ((cp1 X) => (ca_Cx1 X))) (cp2 (i2003_11_14_17_21_04740)) (ca_Ax14 T_0) ### Definition-Pseudo(rinvR) 27
% 2.34/2.56 29. ((rinvR (i2003_11_14_17_21_04740) T_0) /\ (ca_Ax14 T_0)) (cp2 (i2003_11_14_17_21_04740)) (All X, ((cp1 X) => (ca_Cx1 X))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) ### And 28
% 2.34/2.56 30. (Ex Y, ((rinvR (i2003_11_14_17_21_04740) Y) /\ (ca_Ax14 Y))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All X, ((cp1 X) => (ca_Cx1 X))) (cp2 (i2003_11_14_17_21_04740)) ### Exists 29
% 2.34/2.56 31. ((Ex Y, ((rinvR (i2003_11_14_17_21_04740) Y) /\ (ca_Ax14 Y))) /\ (cp2 (i2003_11_14_17_21_04740))) (All X, ((cp1 X) => (ca_Cx1 X))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) ### And 30
% 2.34/2.56 32. (cUnsatisfiable (i2003_11_14_17_21_04740)) (All A, (All B, (((A = B) /\ (ca_Cx1 A)) => (ca_Cx1 B)))) (All X, ((ca_Cx1 X) <=> ((cp2xcomp X) /\ ((cp5xcomp X) /\ ((cp3xcomp X) /\ (cp4xcomp X)))))) (All X, ((cp1 X) => (ca_Cx1 X))) ### Definition-Pseudo(cUnsatisfiable) 31
% 2.34/2.56 % SZS output end Proof
% 2.34/2.56 (* END-PROOF *)
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