TSTP Solution File: KRS267+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS267+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 : n019.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 03:32:18 EDT 2022
% Result : Theorem 4.55s 4.72s
% Output : Proof 4.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : KRS267+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n019.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 08:57:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.55/4.72 % SZS status Theorem
% 4.55/4.72 (* PROOF-FOUND *)
% 4.55/4.72 (* BEGIN-PROOF *)
% 4.55/4.72 % SZS output start Proof
% 4.55/4.72 1. (model T_0 T_1) (-. (model T_0 T_1)) ### Axiom
% 4.55/4.72 2. (All I, (-. (model I T_1))) (model T_0 T_1) ### All 1
% 4.55/4.72 3. (Ex I2, (model I2 T_1)) (All I, (-. (model I T_1))) ### Exists 2
% 4.55/4.72 4. (-. (-. (Ex I2, (model I2 T_1)))) (All I, (-. (model I T_1))) ### NotNot 3
% 4.55/4.72 5. (model T_2 T_1) (-. (model T_2 T_1)) ### Axiom
% 4.55/4.72 6. (All I, (-. (model I T_1))) (model T_2 T_1) ### All 5
% 4.55/4.72 7. (-. ((model T_2 T_1) => (model T_2 T_3))) (All I, (-. (model I T_1))) ### NotImply 6
% 4.55/4.72 8. (-. (All I1, ((model I1 T_1) => (model I1 T_3)))) (All I, (-. (model I T_1))) ### NotAllEx 7
% 4.55/4.72 9. (-. (Ex I2, (model I2 T_1))) (Ex I2, (model I2 T_1)) ### Axiom
% 4.55/4.72 10. (-. (-. (Ex I2, (model I2 T_1)))) (-. (Ex I2, (model I2 T_1))) ### NotNot 9
% 4.55/4.72 11. (-. (model T_4 T_3)) (model T_4 T_3) ### Axiom
% 4.55/4.72 12. (All I, (model I T_3)) (-. (model T_4 T_3)) ### All 11
% 4.55/4.72 13. (Ex I2, (-. (model I2 T_3))) (All I, (model I T_3)) ### Exists 12
% 4.55/4.72 14. (-. (All I, (model I T_3))) (All I, (model I T_3)) ### NotAllEx 13
% 4.55/4.72 15. (-. ((-. (Ex I2, (model I2 T_1))) /\ (All I, (model I T_3)))) (All I, (model I T_3)) (-. (Ex I2, (model I2 T_1))) ### NotAnd 10 14
% 4.55/4.72 16. (status T_1 T_3 (tca)) (-. (status T_1 T_3 (tca))) ### Axiom
% 4.55/4.72 17. (status T_1 T_3 (thm)) (-. (status T_1 T_3 (thm))) ### Axiom
% 4.55/4.72 18. (-. ((status T_1 T_3 (tca)) /\ (status T_1 T_3 (thm)))) (status T_1 T_3 (thm)) (status T_1 T_3 (tca)) ### NotAnd 16 17
% 4.55/4.72 19. (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) (status T_1 T_3 (tca)) (status T_1 T_3 (thm)) ### NotExists 18
% 4.55/4.72 20. (((-. (Ex I2, (model I2 T_1))) /\ (All I, (model I T_3))) <=> (status T_1 T_3 (tca))) (status T_1 T_3 (thm)) (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) (-. (Ex I2, (model I2 T_1))) (All I, (model I T_3)) ### Equiv 15 19
% 4.55/4.72 21. (All C, (((-. (Ex I2, (model I2 T_1))) /\ (All I2, (model I2 C))) <=> (status T_1 C (tca)))) (All I, (model I T_3)) (-. (Ex I2, (model I2 T_1))) (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) (status T_1 T_3 (thm)) ### All 20
% 4.55/4.72 22. ((All I1, ((model I1 T_1) => (model I1 T_3))) <=> (status T_1 T_3 (thm))) (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) (-. (Ex I2, (model I2 T_1))) (All I, (model I T_3)) (All C, (((-. (Ex I2, (model I2 T_1))) /\ (All I2, (model I2 C))) <=> (status T_1 C (tca)))) (All I, (-. (model I T_1))) ### Equiv 8 21
% 4.55/4.72 23. (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (All I, (-. (model I T_1))) (All C, (((-. (Ex I2, (model I2 T_1))) /\ (All I2, (model I2 C))) <=> (status T_1 C (tca)))) (All I, (model I T_3)) (-. (Ex I2, (model I2 T_1))) (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) ### All 22
% 4.55/4.72 24. (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) (-. (Ex I2, (model I2 T_1))) (All I, (model I T_3)) (All I, (-. (model I T_1))) (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) ### All 23
% 4.55/4.72 25. ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 zenon_X5 (cax))) (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (All I, (model I T_3)) (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All I, (-. (model I T_1))) ### Equiv 4 24
% 4.55/4.72 26. (All C, ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 C (cax)))) (All I, (-. (model I T_1))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) (All I, (model I T_3)) (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) ### All 25
% 4.55/4.72 27. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (All I, (model I T_3)) (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All I, (-. (model I T_1))) ### All 26
% 4.55/4.72 28. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All I, (-. (model I T_1))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (-. (Ex C, ((status T_1 C (tca)) /\ (status T_1 C (thm))))) (All I, (model I T_3)) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### All 27
% 4.55/4.72 29. (-. (Ex Ax, (Ex C, ((status Ax C (tca)) /\ (status Ax C (thm)))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All I, (model I T_3)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All I, (-. (model I T_1))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotExists 28
% 4.55/4.72 30. (Ex F, (All I, (model I F))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All I, (-. (model I T_1))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (tca)) /\ (status Ax C (thm)))))) ### Exists 29
% 4.55/4.72 31. (Ex F, (All I, (-. (model I F)))) (-. (Ex Ax, (Ex C, ((status Ax C (tca)) /\ (status Ax C (thm)))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, (All I, (model I F))) ### Exists 30
% 4.55/4.72 32. (-. (mighta (tca) (thm))) (Ex F, (All I, (model I F))) (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))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (Ex F, (All I, (-. (model I F)))) ### Definition-Pseudo(mighta) 31
% 4.55/4.72 % SZS output end Proof
% 4.55/4.72 (* END-PROOF *)
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