TSTP Solution File: KRS127+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : KRS127+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 03:31:58 EDT 2022
% Result : Unsatisfiable 9.25s 9.45s
% Output : Proof 9.25s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS127+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 08:27:02 EDT 2022
% 0.19/0.34 % CPUTime :
% 9.25/9.45 % SZS status Theorem
% 9.25/9.45 (* PROOF-FOUND *)
% 9.25/9.45 (* BEGIN-PROOF *)
% 9.25/9.45 % SZS output start Proof
% 9.25/9.45 1. (rr (i2003_11_14_17_22_27794) T_0) (-. (rr (i2003_11_14_17_22_27794) T_0)) ### Axiom
% 9.25/9.45 2. (rr (i2003_11_14_17_22_27794) T_1) (-. (rr (i2003_11_14_17_22_27794) T_1)) ### Axiom
% 9.25/9.45 3. (T_0 = T_1) (T_0 != T_1) ### Axiom
% 9.25/9.45 4. (cc T_0) (-. (cc T_0)) ### Axiom
% 9.25/9.45 5. (-. (cc T_1)) (cc T_1) ### Axiom
% 9.25/9.45 6. (((T_0 = T_1) /\ (cc T_0)) => (cc T_1)) (-. (cc T_1)) (cc T_0) (T_0 = T_1) ### DisjTree 3 4 5
% 9.25/9.45 7. (All B, (((T_0 = B) /\ (cc T_0)) => (cc B))) (T_0 = T_1) (cc T_0) (-. (cc T_1)) ### All 6
% 9.25/9.45 8. (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (-. (cc T_1)) (cc T_0) (T_0 = T_1) ### All 7
% 9.25/9.45 9. (-. (Ex Y, (ra_Px1 T_1 Y))) (Ex Y, (ra_Px1 T_1 Y)) ### Axiom
% 9.25/9.45 10. (cdxcomp T_1) (-. (Ex Y, (ra_Px1 T_1 Y))) ### Definition-Pseudo(cdxcomp) 9
% 9.25/9.45 11. ((cc T_1) => (cdxcomp T_1)) (-. (Ex Y, (ra_Px1 T_1 Y))) (T_0 = T_1) (cc T_0) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ### Imply 8 10
% 9.25/9.45 12. (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (cc T_0) (T_0 = T_1) (-. (Ex Y, (ra_Px1 T_1 Y))) ### All 11
% 9.25/9.45 13. (((rr (i2003_11_14_17_22_27794) T_0) /\ (rr (i2003_11_14_17_22_27794) T_1)) => (T_0 = T_1)) (-. (Ex Y, (ra_Px1 T_1 Y))) (cc T_0) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) (rr (i2003_11_14_17_22_27794) T_1) (rr (i2003_11_14_17_22_27794) T_0) ### DisjTree 1 2 12
% 9.25/9.45 14. (All Y1, (((rr (i2003_11_14_17_22_27794) T_0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (T_0 = Y1))) (rr (i2003_11_14_17_22_27794) T_0) (rr (i2003_11_14_17_22_27794) T_1) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (cc T_0) (-. (Ex Y, (ra_Px1 T_1 Y))) ### All 13
% 9.25/9.45 15. (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) (-. (Ex Y, (ra_Px1 T_1 Y))) (cc T_0) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) (rr (i2003_11_14_17_22_27794) T_1) (rr (i2003_11_14_17_22_27794) T_0) ### All 14
% 9.25/9.45 16. (cd T_1) (rr (i2003_11_14_17_22_27794) T_0) (rr (i2003_11_14_17_22_27794) T_1) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (cc T_0) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) ### Definition-Pseudo(cd) 15
% 9.25/9.45 17. ((rr (i2003_11_14_17_22_27794) T_1) /\ (cd T_1)) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) (cc T_0) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) (rr (i2003_11_14_17_22_27794) T_0) ### And 16
% 9.25/9.45 18. (Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cd Y))) (rr (i2003_11_14_17_22_27794) T_0) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (cc T_0) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) ### Exists 17
% 9.25/9.45 19. ((rr (i2003_11_14_17_22_27794) T_0) /\ (cc T_0)) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) (Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cd Y))) ### And 18
% 9.25/9.45 20. (Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cc Y))) (Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cd Y))) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))) ### Exists 19
% 9.25/9.45 21. ((Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cc Y))) /\ ((Ex Y, ((rr (i2003_11_14_17_22_27794) Y) /\ (cd Y))) /\ (All Y0, (All Y1, (((rr (i2003_11_14_17_22_27794) Y0) /\ (rr (i2003_11_14_17_22_27794) Y1)) => (Y0 = Y1)))))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All X, ((cc X) => (cdxcomp X))) ### ConjTree 20
% 9.25/9.45 22. (cUnsatisfiable (i2003_11_14_17_22_27794)) (All X, ((cc X) => (cdxcomp X))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ### Definition-Pseudo(cUnsatisfiable) 21
% 9.25/9.45 % SZS output end Proof
% 9.25/9.45 (* END-PROOF *)
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