TSTP Solution File: KRS257+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : KRS257+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 03:32:17 EDT 2022

% Result   : Theorem 8.47s 8.68s
% Output   : Proof 8.47s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15  % Problem  : KRS257+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.16  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.37  % Computer : n019.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 600
% 0.13/0.37  % DateTime : Tue Jun  7 09:52:55 EDT 2022
% 0.13/0.37  % CPUTime  : 
% 8.47/8.68  % SZS status Theorem
% 8.47/8.68  (* PROOF-FOUND *)
% 8.47/8.68  (* BEGIN-PROOF *)
% 8.47/8.68  % SZS output start Proof
% 8.47/8.68  1. (-. (model T_0 T_1)) (model T_0 T_1)   ### Axiom
% 8.47/8.68  2. (-. ((model T_0 T_1) => (model T_0 T_1)))   ### NotImply 1
% 8.47/8.68  3. (-. (All I1, ((model I1 T_1) => (model I1 T_1))))   ### NotAllEx 2
% 8.47/8.68  4. (model T_2 T_1) (-. (model T_2 T_1))   ### Axiom
% 8.47/8.68  5. (model T_2 T_1) (-. (model T_2 T_1))   ### Axiom
% 8.47/8.68  6. (-. ((model T_2 T_1) /\ (model T_2 T_1))) (model T_2 T_1)   ### NotAnd 4 5
% 8.47/8.68  7. (-. (Ex I1, ((model I1 T_1) /\ (model I1 T_1)))) (model T_2 T_1)   ### NotExists 6
% 8.47/8.68  8. (-. (status T_1 T_1 (sat))) (status T_1 T_1 (sat))   ### Axiom
% 8.47/8.68  9. ((Ex I1, ((model I1 T_1) /\ (model I1 T_1))) <=> (status T_1 T_1 (sat))) (-. (status T_1 T_1 (sat))) (model T_2 T_1)   ### Equiv 7 8
% 8.47/8.68  10. (All C, ((Ex I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (sat)))) (model T_2 T_1) (-. (status T_1 T_1 (sat)))   ### All 9
% 8.47/8.68  11. (status T_1 T_1 (thm)) (-. (status T_1 T_1 (thm)))   ### Axiom
% 8.47/8.68  12. (-. ((status T_1 T_1 (sat)) /\ (status T_1 T_1 (thm)))) (status T_1 T_1 (thm)) (model T_2 T_1) (All C, ((Ex I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (sat))))   ### NotAnd 10 11
% 8.47/8.68  13. (-. (Ex C, ((status T_1 C (sat)) /\ (status T_1 C (thm))))) (All C, ((Ex I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (sat)))) (model T_2 T_1) (status T_1 T_1 (thm))   ### NotExists 12
% 8.47/8.68  14. ((All I1, ((model I1 T_1) => (model I1 T_1))) <=> (status T_1 T_1 (thm))) (model T_2 T_1) (All C, ((Ex I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (sat)))) (-. (Ex C, ((status T_1 C (sat)) /\ (status T_1 C (thm)))))   ### Equiv 3 13
% 8.47/8.68  15. (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (-. (Ex C, ((status T_1 C (sat)) /\ (status T_1 C (thm))))) (All C, ((Ex I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (sat)))) (model T_2 T_1)   ### All 14
% 8.47/8.68  16. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (model T_2 T_1) (All C, ((Ex I1, ((model I1 T_1) /\ (model I1 C))) <=> (status T_1 C (sat)))) (-. (Ex C, ((status T_1 C (sat)) /\ (status T_1 C (thm)))))   ### All 15
% 8.47/8.68  17. (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (sat))))) (-. (Ex C, ((status T_1 C (sat)) /\ (status T_1 C (thm))))) (model T_2 T_1) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm)))))   ### All 16
% 8.47/8.68  18. (-. (Ex Ax, (Ex C, ((status Ax C (sat)) /\ (status Ax C (thm)))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (model T_2 T_1) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (sat)))))   ### NotExists 17
% 8.47/8.68  19. ((model T_2 T_1) /\ ((-. (model T_2 T_3)) /\ (Ex I2, (model I2 T_3)))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (sat))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (Ex Ax, (Ex C, ((status Ax C (sat)) /\ (status Ax C (thm))))))   ### ConjTree 18
% 8.47/8.68  20. (Ex C, ((model T_2 T_1) /\ ((-. (model T_2 C)) /\ (Ex I2, (model I2 C))))) (-. (Ex Ax, (Ex C, ((status Ax C (sat)) /\ (status Ax C (thm)))))) (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) /\ (model I1 C))) <=> (status Ax C (sat)))))   ### Exists 19
% 8.47/8.68  21. (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) /\ (model I1 C))) <=> (status Ax C (sat))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (Ex Ax, (Ex C, ((status Ax C (sat)) /\ (status Ax C (thm))))))   ### Exists 20
% 8.47/8.68  22. (Ex I1, (Ex Ax, (Ex C, ((model I1 Ax) /\ ((-. (model I1 C)) /\ (Ex I2, (model I2 C))))))) (-. (Ex Ax, (Ex C, ((status Ax C (sat)) /\ (status Ax C (thm)))))) (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) /\ (model I1 C))) <=> (status Ax C (sat)))))   ### Exists 21
% 8.47/8.68  23. (-. (mighta (sat) (thm))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 C))) <=> (status Ax C (sat))))) (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(mighta) 22
% 8.47/8.68  % SZS output end Proof
% 8.47/8.68  (* END-PROOF *)
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