TSTP Solution File: KRS069+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS069+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 : n027.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 03:31:49 EDT 2022
% Result : Unsatisfiable 0.70s 0.92s
% Output : Proof 0.74s
% 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 : KRS069+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n027.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 15:16:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/0.92 % SZS status Theorem
% 0.70/0.92 (* PROOF-FOUND *)
% 0.70/0.92 (* BEGIN-PROOF *)
% 0.70/0.92 % SZS output start Proof
% 0.70/0.92 1. (rf3 (i2003_11_14_17_18_2750) T_0) (-. (rf3 (i2003_11_14_17_18_2750) T_0)) ### Axiom
% 0.70/0.92 2. (-. (rf2 (i2003_11_14_17_18_2750) T_0)) (rf3 (i2003_11_14_17_18_2750) T_0) ### Extension/test/axiom_8ctrp 1
% 0.70/0.92 3. (rf2 (i2003_11_14_17_18_2750) T_1) (-. (rf2 (i2003_11_14_17_18_2750) T_1)) ### Axiom
% 0.70/0.92 4. (rf1 (i2003_11_14_17_18_2750) T_2) (-. (rf1 (i2003_11_14_17_18_2750) T_2)) ### Axiom
% 0.70/0.92 5. (rf3 (i2003_11_14_17_18_2750) T_0) (-. (rf3 (i2003_11_14_17_18_2750) T_0)) ### Axiom
% 0.70/0.92 6. (-. (rf1 (i2003_11_14_17_18_2750) T_0)) (rf3 (i2003_11_14_17_18_2750) T_0) ### Extension/test/axiom_7ctrp 5
% 0.70/0.92 7. (T_2 = T_0) (T_0 != T_2) ### Sym(=)
% 0.70/0.92 8. (-. (rf2 (i2003_11_14_17_18_2750) T_2)) (rf2 (i2003_11_14_17_18_2750) T_2) ### Axiom
% 0.70/0.92 9. (((T_0 = T_2) /\ (rf2 (i2003_11_14_17_18_2750) T_0)) => (rf2 (i2003_11_14_17_18_2750) T_2)) (-. (rf2 (i2003_11_14_17_18_2750) T_2)) (rf3 (i2003_11_14_17_18_2750) T_0) (T_2 = T_0) ### DisjTree 7 2 8
% 0.70/0.92 10. (All C, (((T_0 = T_2) /\ (rf2 C T_0)) => (rf2 C T_2))) (T_2 = T_0) (rf3 (i2003_11_14_17_18_2750) T_0) (-. (rf2 (i2003_11_14_17_18_2750) T_2)) ### All 9
% 0.74/0.92 11. (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (-. (rf2 (i2003_11_14_17_18_2750) T_2)) (rf3 (i2003_11_14_17_18_2750) T_0) (T_2 = T_0) ### All 10
% 0.74/0.92 12. (((rf1 (i2003_11_14_17_18_2750) T_2) /\ (rf1 (i2003_11_14_17_18_2750) T_0)) => (T_2 = T_0)) (-. (rf2 (i2003_11_14_17_18_2750) T_2)) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (rf3 (i2003_11_14_17_18_2750) T_0) (rf1 (i2003_11_14_17_18_2750) T_2) ### DisjTree 4 6 11
% 0.74/0.92 13. (All Z, (((rf1 (i2003_11_14_17_18_2750) T_2) /\ (rf1 (i2003_11_14_17_18_2750) Z)) => (T_2 = Z))) (rf1 (i2003_11_14_17_18_2750) T_2) (rf3 (i2003_11_14_17_18_2750) T_0) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (-. (rf2 (i2003_11_14_17_18_2750) T_2)) ### All 12
% 0.74/0.92 14. (All Y, (All Z, (((rf1 (i2003_11_14_17_18_2750) Y) /\ (rf1 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (-. (rf2 (i2003_11_14_17_18_2750) T_2)) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (rf3 (i2003_11_14_17_18_2750) T_0) (rf1 (i2003_11_14_17_18_2750) T_2) ### All 13
% 0.74/0.92 15. (T_2 != T_0) (T_0 = T_2) ### Sym(=)
% 0.74/0.92 16. (((rf2 (i2003_11_14_17_18_2750) T_0) /\ (rf2 (i2003_11_14_17_18_2750) T_2)) => (T_0 = T_2)) (T_2 != T_0) (rf1 (i2003_11_14_17_18_2750) T_2) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (All Y, (All Z, (((rf1 (i2003_11_14_17_18_2750) Y) /\ (rf1 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (rf3 (i2003_11_14_17_18_2750) T_0) ### DisjTree 2 14 15
% 0.74/0.92 17. (All Z, (((rf2 (i2003_11_14_17_18_2750) T_0) /\ (rf2 (i2003_11_14_17_18_2750) Z)) => (T_0 = Z))) (rf3 (i2003_11_14_17_18_2750) T_0) (All Y, (All Z, (((rf1 (i2003_11_14_17_18_2750) Y) /\ (rf1 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (rf1 (i2003_11_14_17_18_2750) T_2) (T_2 != T_0) ### All 16
% 0.74/0.92 18. (T_1 != T_1) ### Refl(=)
% 0.74/0.92 19. (T_1 != T_1) ### Refl(=)
% 0.74/0.92 20. (T_2 != T_1) (T_0 = T_1) (rf1 (i2003_11_14_17_18_2750) T_2) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (All Y, (All Z, (((rf1 (i2003_11_14_17_18_2750) Y) /\ (rf1 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (rf3 (i2003_11_14_17_18_2750) T_0) (All Z, (((rf2 (i2003_11_14_17_18_2750) T_0) /\ (rf2 (i2003_11_14_17_18_2750) Z)) => (T_0 = Z))) ### TransEq 17 18 19
% 0.74/0.92 21. (((rf2 (i2003_11_14_17_18_2750) T_0) /\ (rf2 (i2003_11_14_17_18_2750) T_1)) => (T_0 = T_1)) (All Z, (((rf2 (i2003_11_14_17_18_2750) T_0) /\ (rf2 (i2003_11_14_17_18_2750) Z)) => (T_0 = Z))) (All Y, (All Z, (((rf1 (i2003_11_14_17_18_2750) Y) /\ (rf1 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (rf1 (i2003_11_14_17_18_2750) T_2) (T_2 != T_1) (rf2 (i2003_11_14_17_18_2750) T_1) (rf3 (i2003_11_14_17_18_2750) T_0) ### DisjTree 2 3 20
% 0.74/0.92 22. (rf3 (i2003_11_14_17_18_2750) T_0) (rf2 (i2003_11_14_17_18_2750) T_1) (T_2 != T_1) (rf1 (i2003_11_14_17_18_2750) T_2) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (All Y, (All Z, (((rf1 (i2003_11_14_17_18_2750) Y) /\ (rf1 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (All Z, (((rf2 (i2003_11_14_17_18_2750) T_0) /\ (rf2 (i2003_11_14_17_18_2750) Z)) => (T_0 = Z))) ### All 21
% 0.74/0.92 23. (All Y, (All Z, (((rf2 (i2003_11_14_17_18_2750) Y) /\ (rf2 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (All Y, (All Z, (((rf1 (i2003_11_14_17_18_2750) Y) /\ (rf1 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (rf1 (i2003_11_14_17_18_2750) T_2) (T_2 != T_1) (rf2 (i2003_11_14_17_18_2750) T_1) (rf3 (i2003_11_14_17_18_2750) T_0) ### All 22
% 0.74/0.92 24. (-. (cp1 T_1)) (cp1 T_2) (rf3 (i2003_11_14_17_18_2750) T_0) (rf2 (i2003_11_14_17_18_2750) T_1) (rf1 (i2003_11_14_17_18_2750) T_2) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (All Y, (All Z, (((rf1 (i2003_11_14_17_18_2750) Y) /\ (rf1 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (All Y, (All Z, (((rf2 (i2003_11_14_17_18_2750) Y) /\ (rf2 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) ### P-NotP 23
% 0.74/0.92 25. (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) (All Y, (All Z, (((rf2 (i2003_11_14_17_18_2750) Y) /\ (rf2 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (All B, (All C, (((T_0 = B) /\ (rf2 C T_0)) => (rf2 C B)))) (rf1 (i2003_11_14_17_18_2750) T_2) (rf2 (i2003_11_14_17_18_2750) T_1) (rf3 (i2003_11_14_17_18_2750) T_0) (cp1 T_2) (-. (cp1 T_1)) ### All 24
% 0.74/0.92 26. (All A, (All B, (All C, (((A = B) /\ (rf2 C A)) => (rf2 C B))))) (-. (cp1 T_1)) (cp1 T_2) (rf3 (i2003_11_14_17_18_2750) T_0) (rf2 (i2003_11_14_17_18_2750) T_1) (rf1 (i2003_11_14_17_18_2750) T_2) (All Y, (All Z, (((rf2 (i2003_11_14_17_18_2750) Y) /\ (rf2 (i2003_11_14_17_18_2750) Z)) => (Y = Z)))) (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) ### All 25
% 0.74/0.92 27. (All X, (All Y, (All Z, (((rf2 X Y) /\ (rf2 X Z)) => (Y = Z))))) (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) (rf1 (i2003_11_14_17_18_2750) T_2) (rf2 (i2003_11_14_17_18_2750) T_1) (rf3 (i2003_11_14_17_18_2750) T_0) (cp1 T_2) (-. (cp1 T_1)) (All A, (All B, (All C, (((A = B) /\ (rf2 C A)) => (rf2 C B))))) ### All 26
% 0.74/0.92 28. (cUnsatisfiable (i2003_11_14_17_18_2750)) (All A, (All B, (All C, (((A = B) /\ (rf2 C A)) => (rf2 C B))))) (All X, (All Y, (All Z, (((rf1 X Y) /\ (rf1 X Z)) => (Y = Z))))) (All X, (All Y, (All Z, (((rf2 X Y) /\ (rf2 X Z)) => (Y = Z))))) ### Extension/test/axiom_2 27
% 0.74/0.92 % SZS output end Proof
% 0.74/0.92 (* END-PROOF *)
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