TSTP Solution File: KRS202+1 by SuperZenon---0.0.1
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% File : SuperZenon---0.0.1
% Problem : KRS202+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n020.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 03:32:11 EDT 2022
% Result : Theorem 28.47s 28.63s
% Output : Proof 28.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS202+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 7 06:49:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 28.47/28.63 % SZS status Theorem
% 28.47/28.63 (* PROOF-FOUND *)
% 28.47/28.63 (* BEGIN-PROOF *)
% 28.47/28.63 % SZS output start Proof
% 28.47/28.63 1. (Ex I2, (model I2 T_0)) (-. (Ex I2, (model I2 T_0))) ### Axiom
% 28.47/28.63 2. (Ex I2, (model I2 T_1)) (-. (Ex I2, (model I2 T_1))) ### Axiom
% 28.47/28.63 3. (-. ((Ex I2, (model I2 T_0)) <=> (Ex I2, (model I2 T_1)))) (Ex I2, (model I2 T_1)) (Ex I2, (model I2 T_0)) ### NotEquiv 1 2
% 28.47/28.63 4. (-. (status T_0 T_1 (esa))) (status T_0 T_1 (esa)) ### Axiom
% 28.47/28.63 5. (((Ex I2, (model I2 T_0)) <=> (Ex I2, (model I2 T_1))) <=> (status T_0 T_1 (esa))) (-. (status T_0 T_1 (esa))) (Ex I2, (model I2 T_0)) (Ex I2, (model I2 T_1)) ### Equiv 3 4
% 28.47/28.63 6. (All C, (((Ex I2, (model I2 T_0)) <=> (Ex I2, (model I2 C))) <=> (status T_0 C (esa)))) (Ex I2, (model I2 T_1)) (Ex I2, (model I2 T_0)) (-. (status T_0 T_1 (esa))) ### All 5
% 28.47/28.63 7. (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (-. (status T_0 T_1 (esa))) (Ex I2, (model I2 T_0)) (Ex I2, (model I2 T_1)) ### All 6
% 28.47/28.63 8. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm)) ### Axiom
% 28.47/28.63 9. (-. (-. (status T_0 T_1 (thm)))) (-. (status T_0 T_1 (thm))) ### NotNot 8
% 28.47/28.63 10. (-. ((status T_0 T_1 (esa)) /\ (-. (status T_0 T_1 (thm))))) (-. (status T_0 T_1 (thm))) (Ex I2, (model I2 T_1)) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) ### NotAnd 7 9
% 28.47/28.63 11. (-. (Ex C, ((status T_0 C (esa)) /\ (-. (status T_0 C (thm)))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (Ex I2, (model I2 T_0)) (Ex I2, (model I2 T_1)) (-. (status T_0 T_1 (thm))) ### NotExists 10
% 28.47/28.63 12. (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (-. (status T_0 T_1 (thm))) (Ex I2, (model I2 T_1)) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) ### NotExists 11
% 28.47/28.63 13. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom
% 28.47/28.63 14. (-. (model T_2 T_1)) (model T_2 T_1) ### Axiom
% 28.47/28.63 15. ((model T_2 T_0) => (model T_2 T_1)) (-. (model T_2 T_1)) (model T_2 T_0) ### Imply 13 14
% 28.47/28.63 16. (All I1, ((model I1 T_0) => (model I1 T_1))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 15
% 28.47/28.63 17. ((All I1, ((model I1 T_0) => (model I1 T_1))) <=> (status T_0 T_1 (thm))) (-. (model T_2 T_1)) (model T_2 T_0) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (Ex I2, (model I2 T_0)) (Ex I2, (model I2 T_1)) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) ### Equiv 12 16
% 28.47/28.63 18. (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (Ex I2, (model I2 T_1)) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 17
% 28.47/28.63 19. (-. (-. (Ex I2, (model I2 T_0)))) (-. (model T_2 T_1)) (model T_2 T_0) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (Ex I2, (model I2 T_1)) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) ### NotNot 18
% 28.47/28.63 20. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom
% 28.47/28.63 21. (-. (Ex I2, (model I2 T_0))) (model T_2 T_0) ### NotExists 20
% 28.47/28.63 22. ((-. (Ex I2, (model I2 T_0))) <=> (status T_0 zenon_X3 (cax))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (Ex I2, (model I2 T_1)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (model T_2 T_0) (-. (model T_2 T_1)) ### Equiv 19 21
% 28.47/28.63 23. (All C, ((-. (Ex I2, (model I2 T_0))) <=> (status T_0 C (cax)))) (-. (model T_2 T_1)) (model T_2 T_0) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (Ex I2, (model I2 T_1)) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) ### All 22
% 28.47/28.63 24. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (Ex I2, (model I2 T_1)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 23
% 28.47/28.63 25. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (model T_2 T_1)) (model T_2 T_0) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (Ex I2, (model I2 T_1)) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### All 24
% 28.47/28.63 26. ((model T_2 T_0) /\ ((-. (model T_2 T_1)) /\ (Ex I2, (model I2 T_1)))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### ConjTree 25
% 28.47/28.63 27. (Ex C, ((model T_2 T_0) /\ ((-. (model T_2 C)) /\ (Ex I2, (model I2 C))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Exists 26
% 28.47/28.63 28. (Ex Ax, (Ex C, ((model T_2 Ax) /\ ((-. (model T_2 C)) /\ (Ex I2, (model I2 C)))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### Exists 27
% 28.47/28.63 29. (Ex I1, (Ex Ax, (Ex C, ((model I1 Ax) /\ ((-. (model I1 C)) /\ (Ex I2, (model I2 C))))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Exists 28
% 28.47/28.63 30. (-. (nota (esa) (thm))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex I1, (Ex Ax, (Ex C, ((model I1 Ax) /\ ((-. (model I1 C)) /\ (Ex I2, (model I2 C))))))) ### Definition-Pseudo(nota) 29
% 28.47/28.63 % SZS output end Proof
% 28.47/28.63 (* END-PROOF *)
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