TSTP Solution File: KRS266+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS266+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 2.55s 2.79s
% Output : Proof 2.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS266+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.12 % 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 10:36:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.55/2.79 % SZS status Theorem
% 2.55/2.79 (* PROOF-FOUND *)
% 2.55/2.79 (* BEGIN-PROOF *)
% 2.55/2.79 % SZS output start Proof
% 2.55/2.79 1. (model T_0 T_1) (-. (model T_0 T_1)) ### Axiom
% 2.55/2.79 2. (All I, (-. (model I T_1))) (model T_0 T_1) ### All 1
% 2.55/2.79 3. (-. ((model T_0 T_1) => (model T_0 T_2))) (All I, (-. (model I T_1))) ### NotImply 2
% 2.55/2.79 4. (-. (All I1, ((model I1 T_1) => (model I1 T_2)))) (All I, (-. (model I T_1))) ### NotAllEx 3
% 2.55/2.79 5. (model T_3 T_1) (-. (model T_3 T_1)) ### Axiom
% 2.55/2.79 6. (All I, (-. (model I T_1))) (model T_3 T_1) ### All 5
% 2.55/2.79 7. (Ex I2, (model I2 T_1)) (All I, (-. (model I T_1))) ### Exists 6
% 2.55/2.79 8. (-. (-. (Ex I2, (model I2 T_1)))) (All I, (-. (model I T_1))) ### NotNot 7
% 2.55/2.79 9. (-. (Ex I2, (model I2 T_1))) (Ex I2, (model I2 T_1)) ### Axiom
% 2.55/2.79 10. (-. (-. (Ex I2, (model I2 T_1)))) (-. (Ex I2, (model I2 T_1))) ### NotNot 9
% 2.55/2.79 11. (Ex I1, (model I1 T_2)) (-. (Ex I1, (model I1 T_2))) ### Axiom
% 2.55/2.79 12. (-. ((-. (Ex I2, (model I2 T_1))) /\ (Ex I1, (model I1 T_2)))) (Ex I1, (model I1 T_2)) (-. (Ex I2, (model I2 T_1))) ### NotAnd 10 11
% 2.55/2.79 13. (-. (status T_1 T_2 (sca))) (status T_1 T_2 (sca)) ### Axiom
% 2.55/2.79 14. (((-. (Ex I2, (model I2 T_1))) /\ (Ex I1, (model I1 T_2))) <=> (status T_1 T_2 (sca))) (-. (status T_1 T_2 (sca))) (-. (Ex I2, (model I2 T_1))) (Ex I1, (model I1 T_2)) ### Equiv 12 13
% 2.55/2.79 15. (All C, (((-. (Ex I2, (model I2 T_1))) /\ (Ex I2, (model I2 C))) <=> (status T_1 C (sca)))) (Ex I1, (model I1 T_2)) (-. (Ex I2, (model I2 T_1))) (-. (status T_1 T_2 (sca))) ### All 14
% 2.55/2.79 16. (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (-. (status T_1 T_2 (sca))) (-. (Ex I2, (model I2 T_1))) (Ex I1, (model I1 T_2)) ### All 15
% 2.55/2.79 17. ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 zenon_X4 (cax))) (Ex I1, (model I1 T_2)) (-. (status T_1 T_2 (sca))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All I, (-. (model I T_1))) ### Equiv 8 16
% 2.55/2.79 18. (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))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (-. (status T_1 T_2 (sca))) (Ex I1, (model I1 T_2)) ### All 17
% 2.55/2.79 19. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (Ex I1, (model I1 T_2)) (-. (status T_1 T_2 (sca))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All I, (-. (model I T_1))) ### All 18
% 2.55/2.79 20. (status T_1 T_2 (thm)) (-. (status T_1 T_2 (thm))) ### Axiom
% 2.55/2.79 21. (-. ((status T_1 T_2 (sca)) /\ (status T_1 T_2 (thm)))) (status T_1 T_2 (thm)) (All I, (-. (model I T_1))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (Ex I1, (model I1 T_2)) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### NotAnd 19 20
% 2.55/2.79 22. (-. (Ex C, ((status T_1 C (sca)) /\ (status T_1 C (thm))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (Ex I1, (model I1 T_2)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All I, (-. (model I T_1))) (status T_1 T_2 (thm)) ### NotExists 21
% 2.55/2.79 23. ((All I1, ((model I1 T_1) => (model I1 T_2))) <=> (status T_1 T_2 (thm))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (Ex I1, (model I1 T_2)) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex C, ((status T_1 C (sca)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1))) ### Equiv 4 22
% 2.55/2.79 24. (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (All I, (-. (model I T_1))) (-. (Ex C, ((status T_1 C (sca)) /\ (status T_1 C (thm))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (Ex I1, (model I1 T_2)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) ### All 23
% 2.55/2.79 25. (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 (sca))))) (Ex I1, (model I1 T_2)) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex C, ((status T_1 C (sca)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1))) ### All 24
% 2.55/2.79 26. (-. (Ex Ax, (Ex C, ((status Ax C (sca)) /\ (status Ax C (thm)))))) (All I, (-. (model I T_1))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (Ex I1, (model I1 T_2)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotExists 25
% 2.55/2.79 27. (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))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (Ex I1, (model I1 T_2)) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (sca)) /\ (status Ax C (thm)))))) ### Exists 26
% 2.55/2.79 28. ((Ex I1, (model I1 T_2)) /\ ((All I1, ((model I1 T_2) => (model I1 T_5))) /\ ((Ex I3, ((-. (model I3 T_2)) /\ (model I3 T_5))) /\ (Ex I4, (-. (model I4 T_5)))))) (-. (Ex Ax, (Ex C, ((status Ax C (sca)) /\ (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))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, (All I, (-. (model I F)))) ### ConjTree 27
% 2.55/2.79 29. (Ex C, ((Ex I1, (model I1 T_2)) /\ ((All I1, ((model I1 T_2) => (model I1 C))) /\ ((Ex I3, ((-. (model I3 T_2)) /\ (model I3 C))) /\ (Ex I4, (-. (model I4 C))))))) (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))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (sca)) /\ (status Ax C (thm)))))) ### Exists 28
% 2.55/2.79 30. (Ex Ax, (Ex C, ((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((-. (model I3 Ax)) /\ (model I3 C))) /\ (Ex I4, (-. (model I4 C)))))))) (-. (Ex Ax, (Ex C, ((status Ax C (sca)) /\ (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))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, (All I, (-. (model I F)))) ### Exists 29
% 2.55/2.79 31. (-. (mighta (sca) (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))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (Ex Ax, (Ex C, ((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((-. (model I3 Ax)) /\ (model I3 C))) /\ (Ex I4, (-. (model I4 C)))))))) ### Definition-Pseudo(mighta) 30
% 2.55/2.79 % SZS output end Proof
% 2.55/2.79 (* END-PROOF *)
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