TSTP Solution File: KRS200+1 by SuperZenon---0.0.1
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% File : SuperZenon---0.0.1
% Problem : KRS200+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 : n021.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 03:32:10 EDT 2022
% Result : Theorem 24.24s 24.49s
% Output : Proof 24.24s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS200+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n021.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 14:09:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 24.24/24.49 % SZS status Theorem
% 24.24/24.49 (* PROOF-FOUND *)
% 24.24/24.49 (* BEGIN-PROOF *)
% 24.24/24.49 % SZS output start Proof
% 24.24/24.49 1. (Ex I2, (model I2 T_0)) (-. (Ex I2, (model I2 T_0))) ### Axiom
% 24.24/24.49 2. (-. ((-. (Ex I2, (model I2 T_0))) => (-. (Ex I2, (model I2 T_1))))) (Ex I2, (model I2 T_0)) ### NotImply 1
% 24.24/24.49 3. (-. (status T_0 T_1 (unp))) (status T_0 T_1 (unp)) ### Axiom
% 24.24/24.49 4. (((-. (Ex I2, (model I2 T_0))) => (-. (Ex I2, (model I2 T_1)))) <=> (status T_0 T_1 (unp))) (-. (status T_0 T_1 (unp))) (Ex I2, (model I2 T_0)) ### Equiv 2 3
% 24.24/24.49 5. (All C, (((-. (Ex I2, (model I2 T_0))) => (-. (Ex I2, (model I2 C)))) <=> (status T_0 C (unp)))) (Ex I2, (model I2 T_0)) (-. (status T_0 T_1 (unp))) ### All 4
% 24.24/24.49 6. (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (-. (status T_0 T_1 (unp))) (Ex I2, (model I2 T_0)) ### All 5
% 24.24/24.49 7. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm)) ### Axiom
% 24.24/24.49 8. (-. (-. (status T_0 T_1 (thm)))) (-. (status T_0 T_1 (thm))) ### NotNot 7
% 24.24/24.49 9. (-. ((status T_0 T_1 (unp)) /\ (-. (status T_0 T_1 (thm))))) (-. (status T_0 T_1 (thm))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) ### NotAnd 6 8
% 24.24/24.49 10. (-. (Ex C, ((status T_0 C (unp)) /\ (-. (status T_0 C (thm)))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (Ex I2, (model I2 T_0)) (-. (status T_0 T_1 (thm))) ### NotExists 9
% 24.24/24.49 11. (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (-. (status T_0 T_1 (thm))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) ### NotExists 10
% 24.24/24.49 12. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom
% 24.24/24.49 13. (-. (model T_2 T_1)) (model T_2 T_1) ### Axiom
% 24.24/24.49 14. ((model T_2 T_0) => (model T_2 T_1)) (-. (model T_2 T_1)) (model T_2 T_0) ### Imply 12 13
% 24.24/24.49 15. (All I1, ((model I1 T_0) => (model I1 T_1))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 14
% 24.24/24.49 16. ((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 (unp))))) (Ex I2, (model I2 T_0)) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) ### Equiv 11 15
% 24.24/24.49 17. (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 16
% 24.24/24.49 18. (-. (-. (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 (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) ### NotNot 17
% 24.24/24.49 19. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom
% 24.24/24.49 20. (-. (Ex I2, (model I2 T_0))) (model T_2 T_0) ### NotExists 19
% 24.24/24.49 21. ((-. (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 (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (model T_2 T_0) (-. (model T_2 T_1)) ### Equiv 18 20
% 24.24/24.49 22. (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 (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) ### All 21
% 24.24/24.49 23. (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 (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 22
% 24.24/24.49 24. (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 (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### All 23
% 24.24/24.49 25. ((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 (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### ConjTree 24
% 24.24/24.49 26. (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 (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Exists 25
% 24.24/24.49 27. (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 (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### Exists 26
% 24.24/24.49 28. (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 (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Exists 27
% 24.24/24.49 29. (-. (nota (unp) (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 (unp))))) (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) 28
% 24.24/24.49 % SZS output end Proof
% 24.24/24.49 (* END-PROOF *)
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