TSTP Solution File: KRS071+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS071+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 : n022.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 5.38s 5.62s
% Output : Proof 5.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n022.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 12:40:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.38/5.62 % SZS status Theorem
% 5.38/5.62 (* PROOF-FOUND *)
% 5.38/5.62 (* BEGIN-PROOF *)
% 5.38/5.62 % SZS output start Proof
% 5.38/5.62 1. (rr (i2003_11_14_17_18_39380) T_0) (-. (rr (i2003_11_14_17_18_39380) T_0)) ### Axiom
% 5.38/5.62 2. (rr (i2003_11_14_17_18_39380) T_1) (-. (rr (i2003_11_14_17_18_39380) T_1)) ### Axiom
% 5.38/5.62 3. (rr (i2003_11_14_17_18_39380) T_2) (-. (rr (i2003_11_14_17_18_39380) T_2)) ### Axiom
% 5.38/5.62 4. (T_0 = T_1) (T_0 != T_1) ### Axiom
% 5.38/5.62 5. (cp1 T_0) (-. (cp1 T_0)) ### Axiom
% 5.38/5.62 6. (-. (cp1 T_1)) (cp1 T_1) ### Axiom
% 5.38/5.62 7. (((T_0 = T_1) /\ (cp1 T_0)) => (cp1 T_1)) (-. (cp1 T_1)) (cp1 T_0) (T_0 = T_1) ### DisjTree 4 5 6
% 5.38/5.62 8. (All B, (((T_0 = B) /\ (cp1 T_0)) => (cp1 B))) (T_0 = T_1) (cp1 T_0) (-. (cp1 T_1)) ### All 7
% 5.38/5.62 9. (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (-. (cp1 T_1)) (cp1 T_0) (T_0 = T_1) ### All 8
% 5.38/5.62 10. (T_0 = T_2) (T_0 != T_2) ### Axiom
% 5.38/5.62 11. (cp1 T_0) (-. (cp1 T_0)) ### Axiom
% 5.38/5.62 12. (-. (cp1 T_2)) (cp1 T_2) ### Axiom
% 5.38/5.62 13. (((T_0 = T_2) /\ (cp1 T_0)) => (cp1 T_2)) (-. (cp1 T_2)) (cp1 T_0) (T_0 = T_2) ### DisjTree 10 11 12
% 5.38/5.62 14. (All B, (((T_0 = B) /\ (cp1 T_0)) => (cp1 B))) (T_0 = T_2) (cp1 T_0) (-. (cp1 T_2)) ### All 13
% 5.38/5.62 15. (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (-. (cp1 T_2)) (cp1 T_0) (T_0 = T_2) ### All 14
% 5.38/5.62 16. (T_1 = T_2) (T_2 != T_1) ### Sym(=)
% 5.38/5.62 17. (cp2 T_2) (-. (cp2 T_2)) ### Axiom
% 5.38/5.62 18. (-. (cp2 T_1)) (cp2 T_1) ### Axiom
% 5.38/5.62 19. (((T_2 = T_1) /\ (cp2 T_2)) => (cp2 T_1)) (-. (cp2 T_1)) (cp2 T_2) (T_1 = T_2) ### DisjTree 16 17 18
% 5.38/5.62 20. (All B, (((T_2 = B) /\ (cp2 T_2)) => (cp2 B))) (T_1 = T_2) (cp2 T_2) (-. (cp2 T_1)) ### All 19
% 5.38/5.62 21. (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (-. (cp2 T_1)) (cp2 T_2) (T_1 = T_2) ### All 20
% 5.38/5.62 22. (((rr (i2003_11_14_17_18_39380) T_0) /\ ((rr (i2003_11_14_17_18_39380) T_1) /\ (rr (i2003_11_14_17_18_39380) T_2))) => ((T_0 = T_1) \/ ((T_0 = T_2) \/ (T_1 = T_2)))) (cp2 T_2) (-. (cp2 T_1)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (-. (cp1 T_2)) (cp1 T_0) (-. (cp1 T_1)) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (rr (i2003_11_14_17_18_39380) T_2) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_0) ### DisjTree 1 2 3 9 15 21
% 5.38/5.62 23. (All Y2, (((rr (i2003_11_14_17_18_39380) T_0) /\ ((rr (i2003_11_14_17_18_39380) T_1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((T_0 = T_1) \/ ((T_0 = Y2) \/ (T_1 = Y2))))) (rr (i2003_11_14_17_18_39380) T_0) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (-. (cp1 T_1)) (cp1 T_0) (-. (cp1 T_2)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (-. (cp2 T_1)) (cp2 T_2) ### All 22
% 5.38/5.62 24. (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) T_0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((T_0 = Y1) \/ ((T_0 = Y2) \/ (Y1 = Y2)))))) (cp2 T_2) (-. (cp2 T_1)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (-. (cp1 T_2)) (cp1 T_0) (-. (cp1 T_1)) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (rr (i2003_11_14_17_18_39380) T_2) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_0) ### All 23
% 5.38/5.62 25. (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (rr (i2003_11_14_17_18_39380) T_0) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (-. (cp1 T_1)) (cp1 T_0) (-. (cp1 T_2)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (-. (cp2 T_1)) (cp2 T_2) ### All 24
% 5.38/5.62 26. (cp3 T_1) (-. (cp3 T_1)) ### Axiom
% 5.38/5.62 27. (-. ((cp4 T_1) \/ ((cp2 T_1) \/ ((cp3 T_1) \/ (cp5 T_1))))) (cp3 T_1) ### ConjTree 26
% 5.38/5.62 28. ((cp1 T_1) => (-. ((cp4 T_1) \/ ((cp2 T_1) \/ ((cp3 T_1) \/ (cp5 T_1)))))) (cp3 T_1) (cp2 T_2) (-. (cp2 T_1)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (-. (cp1 T_2)) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (rr (i2003_11_14_17_18_39380) T_2) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_0) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) ### Imply 25 27
% 5.38/5.62 29. (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (rr (i2003_11_14_17_18_39380) T_0) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_0) (-. (cp1 T_2)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (-. (cp2 T_1)) (cp2 T_2) (cp3 T_1) ### All 28
% 5.38/5.62 30. (cp2 T_2) (-. (cp2 T_2)) ### Axiom
% 5.38/5.62 31. (-. ((cp4 T_2) \/ ((cp2 T_2) \/ ((cp3 T_2) \/ (cp5 T_2))))) (cp2 T_2) ### ConjTree 30
% 5.38/5.62 32. ((cp1 T_2) => (-. ((cp4 T_2) \/ ((cp2 T_2) \/ ((cp3 T_2) \/ (cp5 T_2)))))) (cp3 T_1) (cp2 T_2) (-. (cp2 T_1)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (rr (i2003_11_14_17_18_39380) T_2) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_0) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) ### Imply 29 31
% 5.38/5.62 33. (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (rr (i2003_11_14_17_18_39380) T_0) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (-. (cp2 T_1)) (cp2 T_2) (cp3 T_1) ### All 32
% 5.38/5.62 34. (cp3 T_1) (-. (cp3 T_1)) ### Axiom
% 5.38/5.62 35. (-. ((cp4 T_1) \/ ((cp3 T_1) \/ (cp5 T_1)))) (cp3 T_1) ### ConjTree 34
% 5.38/5.62 36. ((cp2 T_1) => (-. ((cp4 T_1) \/ ((cp3 T_1) \/ (cp5 T_1))))) (cp3 T_1) (cp2 T_2) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (rr (i2003_11_14_17_18_39380) T_2) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_0) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) ### Imply 33 35
% 5.38/5.62 37. (All X, ((cp2 X) => (-. ((cp4 X) \/ ((cp3 X) \/ (cp5 X)))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (rr (i2003_11_14_17_18_39380) T_0) (rr (i2003_11_14_17_18_39380) T_1) (rr (i2003_11_14_17_18_39380) T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_2) (cp3 T_1) ### All 36
% 5.38/5.62 38. ((rr (i2003_11_14_17_18_39380) T_1) /\ (cp3 T_1)) (cp2 T_2) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (rr (i2003_11_14_17_18_39380) T_2) (rr (i2003_11_14_17_18_39380) T_0) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All X, ((cp2 X) => (-. ((cp4 X) \/ ((cp3 X) \/ (cp5 X)))))) ### And 37
% 5.38/5.62 39. (Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp3 Y))) (All X, ((cp2 X) => (-. ((cp4 X) \/ ((cp3 X) \/ (cp5 X)))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (rr (i2003_11_14_17_18_39380) T_0) (rr (i2003_11_14_17_18_39380) T_2) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp2 T_2) ### Exists 38
% 5.38/5.63 40. ((rr (i2003_11_14_17_18_39380) T_2) /\ (cp2 T_2)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (rr (i2003_11_14_17_18_39380) T_0) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All X, ((cp2 X) => (-. ((cp4 X) \/ ((cp3 X) \/ (cp5 X)))))) (Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp3 Y))) ### And 39
% 5.38/5.63 41. (Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp2 Y))) (Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp3 Y))) (All X, ((cp2 X) => (-. ((cp4 X) \/ ((cp3 X) \/ (cp5 X)))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (rr (i2003_11_14_17_18_39380) T_0) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) ### Exists 40
% 5.38/5.63 42. ((rr (i2003_11_14_17_18_39380) T_0) /\ (cp1 T_0)) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All X, ((cp2 X) => (-. ((cp4 X) \/ ((cp3 X) \/ (cp5 X)))))) (Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp3 Y))) (Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp2 Y))) ### And 41
% 5.38/5.63 43. (Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp1 Y))) (Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp2 Y))) (Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp3 Y))) (All X, ((cp2 X) => (-. ((cp4 X) \/ ((cp3 X) \/ (cp5 X)))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) ### Exists 42
% 5.38/5.63 44. ((Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp1 Y))) /\ ((Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp2 Y))) /\ ((Ex Y, ((rr (i2003_11_14_17_18_39380) Y) /\ (cp3 Y))) /\ (All Y0, (All Y1, (All Y2, (((rr (i2003_11_14_17_18_39380) Y0) /\ ((rr (i2003_11_14_17_18_39380) Y1) /\ (rr (i2003_11_14_17_18_39380) Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All X, ((cp2 X) => (-. ((cp4 X) \/ ((cp3 X) \/ (cp5 X)))))) ### ConjTree 43
% 5.38/5.63 45. (cUnsatisfiable (i2003_11_14_17_18_39380)) (All X, ((cp2 X) => (-. ((cp4 X) \/ ((cp3 X) \/ (cp5 X)))))) (All X, ((cp1 X) => (-. ((cp4 X) \/ ((cp2 X) \/ ((cp3 X) \/ (cp5 X))))))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All A, (All B, (((A = B) /\ (cp2 A)) => (cp2 B)))) ### Definition-Pseudo(cUnsatisfiable) 44
% 5.38/5.63 % SZS output end Proof
% 5.38/5.63 (* END-PROOF *)
%------------------------------------------------------------------------------