TSTP Solution File: KRS265+1 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : KRS265+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 : 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 03:32:18 EDT 2022

% Result   : Theorem 2.33s 2.53s
% Output   : Proof 2.33s
% 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  : KRS265+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun  7 18:18:05 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 2.33/2.53  % SZS status Theorem
% 2.33/2.53  (* PROOF-FOUND *)
% 2.33/2.53  (* BEGIN-PROOF *)
% 2.33/2.53  % SZS output start Proof
% 2.33/2.53  1. (model T_0 T_1) (-. (model T_0 T_1))   ### Axiom
% 2.33/2.53  2. (All I, (-. (model I T_1))) (model T_0 T_1)   ### All 1
% 2.33/2.53  3. (-. ((model T_0 T_1) => (model T_0 T_2))) (All I, (-. (model I T_1)))   ### NotImply 2
% 2.33/2.53  4. (-. (All I1, ((model I1 T_1) => (model I1 T_2)))) (All I, (-. (model I T_1)))   ### NotAllEx 3
% 2.33/2.53  5. (model T_3 T_1) (-. (model T_3 T_1))   ### Axiom
% 2.33/2.53  6. (All I, (-. (model I T_1))) (model T_3 T_1)   ### All 5
% 2.33/2.53  7. (Ex I2, (model I2 T_1)) (All I, (-. (model I T_1)))   ### Exists 6
% 2.33/2.53  8. (-. (-. (Ex I2, (model I2 T_1)))) (All I, (-. (model I T_1)))   ### NotNot 7
% 2.33/2.53  9. (-. (Ex I2, (model I2 T_1))) (Ex I2, (model I2 T_1))   ### Axiom
% 2.33/2.53  10. (-. (-. (Ex I2, (model I2 T_1)))) (-. (Ex I2, (model I2 T_1)))   ### NotNot 9
% 2.33/2.53  11. (-. (status T_1 T_2 (cax))) (status T_1 T_2 (cax))   ### Axiom
% 2.33/2.53  12. ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 T_2 (cax))) (-. (status T_1 T_2 (cax))) (-. (Ex I2, (model I2 T_1)))   ### Equiv 10 11
% 2.33/2.53  13. (All C, ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 C (cax)))) (-. (Ex I2, (model I2 T_1))) (-. (status T_1 T_2 (cax)))   ### All 12
% 2.33/2.53  14. ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 zenon_X4 (cax))) (-. (status T_1 T_2 (cax))) (All C, ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 C (cax)))) (All I, (-. (model I T_1)))   ### Equiv 8 13
% 2.33/2.53  15. (All I, (-. (model I T_1))) (All C, ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 C (cax)))) (-. (status T_1 T_2 (cax)))   ### All 14
% 2.33/2.53  16. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (status T_1 T_2 (cax))) (All I, (-. (model I T_1)))   ### All 15
% 2.33/2.53  17. (status T_1 T_2 (thm)) (-. (status T_1 T_2 (thm)))   ### Axiom
% 2.33/2.53  18. (-. ((status T_1 T_2 (cax)) /\ (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))) <=> (status Ax C (cax)))))   ### NotAnd 16 17
% 2.33/2.53  19. (-. (Ex C, ((status T_1 C (cax)) /\ (status T_1 C (thm))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All I, (-. (model I T_1))) (status T_1 T_2 (thm))   ### NotExists 18
% 2.33/2.53  20. ((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))) <=> (status Ax C (cax))))) (-. (Ex C, ((status T_1 C (cax)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1)))   ### Equiv 4 19
% 2.33/2.53  21. (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 (cax)) /\ (status T_1 C (thm))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax)))))   ### All 20
% 2.33/2.53  22. (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))) <=> (status Ax C (cax))))) (-. (Ex C, ((status T_1 C (cax)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1)))   ### All 21
% 2.33/2.53  23. (-. (Ex Ax, (Ex C, ((status Ax C (cax)) /\ (status Ax C (thm)))))) (All I, (-. (model I T_1))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm)))))   ### NotExists 22
% 2.33/2.53  24. (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))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (cax)) /\ (status Ax C (thm))))))   ### Exists 23
% 2.33/2.53  25. (-. (mighta (cax) (thm))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, (All I, (-. (model I F))))   ### Definition-Pseudo(mighta) 24
% 2.33/2.53  % SZS output end Proof
% 2.33/2.53  (* END-PROOF *)
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