TSTP Solution File: KRS088+1 by SuperZenon---0.0.1
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% File : SuperZenon---0.0.1
% Problem : KRS088+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 03:31:52 EDT 2022
% Result : Unsatisfiable 9.51s 9.70s
% Output : Proof 9.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS088+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % 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 19:40:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.51/9.70 % SZS status Theorem
% 9.51/9.70 (* PROOF-FOUND *)
% 9.51/9.70 (* BEGIN-PROOF *)
% 9.51/9.70 % SZS output start Proof
% 9.51/9.70 1. (rf (i2003_11_14_17_19_49673) T_0) (-. (rf (i2003_11_14_17_19_49673) T_0)) ### Axiom
% 9.51/9.70 2. (-. (rinvF T_0 (i2003_11_14_17_19_49673))) (rf (i2003_11_14_17_19_49673) T_0) ### Definition-Pseudo(rinvF) 1
% 9.51/9.70 3. (rf (i2003_11_14_17_19_49673) T_0) (-. (rf (i2003_11_14_17_19_49673) T_0)) ### Axiom
% 9.51/9.70 4. (rf (i2003_11_14_17_19_49673) T_1) (-. (rf (i2003_11_14_17_19_49673) T_1)) ### Axiom
% 9.51/9.70 5. (T_0 != T_1) (T_0 = T_1) ### Axiom
% 9.51/9.70 6. (((rf (i2003_11_14_17_19_49673) T_0) /\ (rf (i2003_11_14_17_19_49673) T_1)) => (T_0 = T_1)) (T_0 != T_1) (rf (i2003_11_14_17_19_49673) T_1) (rf (i2003_11_14_17_19_49673) T_0) ### DisjTree 3 4 5
% 9.51/9.70 7. (All Z, (((rf (i2003_11_14_17_19_49673) T_0) /\ (rf (i2003_11_14_17_19_49673) Z)) => (T_0 = Z))) (rf (i2003_11_14_17_19_49673) T_0) (rf (i2003_11_14_17_19_49673) T_1) (T_0 != T_1) ### All 6
% 9.51/9.70 8. (cp1 T_0) (-. (cp1 T_0)) ### Axiom
% 9.51/9.70 9. (-. (cp1 T_1)) (cp1 T_1) ### Axiom
% 9.51/9.70 10. (((T_0 = T_1) /\ (cp1 T_0)) => (cp1 T_1)) (-. (cp1 T_1)) (cp1 T_0) (rf (i2003_11_14_17_19_49673) T_1) (rf (i2003_11_14_17_19_49673) T_0) (All Z, (((rf (i2003_11_14_17_19_49673) T_0) /\ (rf (i2003_11_14_17_19_49673) Z)) => (T_0 = Z))) ### DisjTree 7 8 9
% 9.51/9.70 11. (All B, (((T_0 = B) /\ (cp1 T_0)) => (cp1 B))) (All Z, (((rf (i2003_11_14_17_19_49673) T_0) /\ (rf (i2003_11_14_17_19_49673) Z)) => (T_0 = Z))) (rf (i2003_11_14_17_19_49673) T_0) (rf (i2003_11_14_17_19_49673) T_1) (cp1 T_0) (-. (cp1 T_1)) ### All 10
% 9.51/9.70 12. ((rf (i2003_11_14_17_19_49673) T_1) /\ (-. (cp1 T_1))) (cp1 T_0) (rf (i2003_11_14_17_19_49673) T_0) (All Z, (((rf (i2003_11_14_17_19_49673) T_0) /\ (rf (i2003_11_14_17_19_49673) Z)) => (T_0 = Z))) (All B, (((T_0 = B) /\ (cp1 T_0)) => (cp1 B))) ### And 11
% 9.51/9.70 13. (Ex W, ((rf (i2003_11_14_17_19_49673) W) /\ (-. (cp1 W)))) (All B, (((T_0 = B) /\ (cp1 T_0)) => (cp1 B))) (All Z, (((rf (i2003_11_14_17_19_49673) T_0) /\ (rf (i2003_11_14_17_19_49673) Z)) => (T_0 = Z))) (rf (i2003_11_14_17_19_49673) T_0) (cp1 T_0) ### Exists 12
% 9.51/9.70 14. ((rinvF T_0 (i2003_11_14_17_19_49673)) => (Ex W, ((rf (i2003_11_14_17_19_49673) W) /\ (-. (cp1 W))))) (cp1 T_0) (All Z, (((rf (i2003_11_14_17_19_49673) T_0) /\ (rf (i2003_11_14_17_19_49673) Z)) => (T_0 = Z))) (All B, (((T_0 = B) /\ (cp1 T_0)) => (cp1 B))) (rf (i2003_11_14_17_19_49673) T_0) ### Imply 2 13
% 9.51/9.70 15. (All Z, ((rinvF T_0 Z) => (Ex W, ((rf Z W) /\ (-. (cp1 W)))))) (rf (i2003_11_14_17_19_49673) T_0) (All B, (((T_0 = B) /\ (cp1 T_0)) => (cp1 B))) (All Z, (((rf (i2003_11_14_17_19_49673) T_0) /\ (rf (i2003_11_14_17_19_49673) Z)) => (T_0 = Z))) (cp1 T_0) ### All 14
% 9.51/9.70 16. (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_0) (All Z, (((rf (i2003_11_14_17_19_49673) T_0) /\ (rf (i2003_11_14_17_19_49673) Z)) => (T_0 = Z))) (rf (i2003_11_14_17_19_49673) T_0) (All Z, ((rinvF T_0 Z) => (Ex W, ((rf Z W) /\ (-. (cp1 W)))))) ### All 15
% 9.51/9.70 17. (All Y, (All Z, (((rf (i2003_11_14_17_19_49673) Y) /\ (rf (i2003_11_14_17_19_49673) Z)) => (Y = Z)))) (All Z, ((rinvF T_0 Z) => (Ex W, ((rf Z W) /\ (-. (cp1 W)))))) (rf (i2003_11_14_17_19_49673) T_0) (cp1 T_0) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) ### All 16
% 9.51/9.70 18. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (cp1 T_0) (rf (i2003_11_14_17_19_49673) T_0) (All Z, ((rinvF T_0 Z) => (Ex W, ((rf Z W) /\ (-. (cp1 W)))))) ### All 17
% 9.51/9.70 19. ((rf (i2003_11_14_17_19_49673) T_0) /\ ((All Z, ((rinvF T_0 Z) => (Ex W, ((rf Z W) /\ (-. (cp1 W)))))) /\ (cp1 T_0))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### ConjTree 18
% 9.51/9.70 20. (Ex Y, ((rf (i2003_11_14_17_19_49673) Y) /\ ((All Z, ((rinvF Y Z) => (Ex W, ((rf Z W) /\ (-. (cp1 W)))))) /\ (cp1 Y)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) ### Exists 19
% 9.51/9.70 21. (cUnsatisfiable (i2003_11_14_17_19_49673)) (All A, (All B, (((A = B) /\ (cp1 A)) => (cp1 B)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Definition-Pseudo(cUnsatisfiable) 20
% 9.51/9.70 % SZS output end Proof
% 9.51/9.70 (* END-PROOF *)
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