TSTP Solution File: KRS201+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : KRS201+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 03:32:10 EDT 2022

% Result   : Theorem 25.88s 26.10s
% Output   : Proof 25.88s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 11:22:35 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 25.88/26.10  % SZS status Theorem
% 25.88/26.10  (* PROOF-FOUND *)
% 25.88/26.10  (* BEGIN-PROOF *)
% 25.88/26.10  % SZS output start Proof
% 25.88/26.10  1. (Ex I2, (model I2 T_0)) (-. (Ex I2, (model I2 T_0)))   ### Axiom
% 25.88/26.10  2. (-. ((Ex I2, (model I2 T_1)) => (Ex I2, (model I2 T_0)))) (Ex I2, (model I2 T_0))   ### NotImply 1
% 25.88/26.10  3. (-. (status T_1 T_0 (sap))) (status T_1 T_0 (sap))   ### Axiom
% 25.88/26.10  4. (((Ex I2, (model I2 T_1)) => (Ex I2, (model I2 T_0))) <=> (status T_1 T_0 (sap))) (-. (status T_1 T_0 (sap))) (Ex I2, (model I2 T_0))   ### Equiv 2 3
% 25.88/26.10  5. (All C, (((Ex I2, (model I2 T_1)) => (Ex I2, (model I2 C))) <=> (status T_1 C (sap)))) (Ex I2, (model I2 T_0)) (-. (status T_1 T_0 (sap)))   ### All 4
% 25.88/26.10  6. (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (-. (status T_1 T_0 (sap))) (Ex I2, (model I2 T_0))   ### All 5
% 25.88/26.10  7. (-. (status T_1 T_0 (thm))) (status T_1 T_0 (thm))   ### Axiom
% 25.88/26.10  8. (-. (-. (status T_1 T_0 (thm)))) (-. (status T_1 T_0 (thm)))   ### NotNot 7
% 25.88/26.10  9. (-. ((status T_1 T_0 (sap)) /\ (-. (status T_1 T_0 (thm))))) (-. (status T_1 T_0 (thm))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap)))))   ### NotAnd 6 8
% 25.88/26.10  10. (-. (Ex C, ((status T_1 C (sap)) /\ (-. (status T_1 C (thm)))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (Ex I2, (model I2 T_0)) (-. (status T_1 T_0 (thm)))   ### NotExists 9
% 25.88/26.10  11. (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm))))))) (-. (status T_1 T_0 (thm))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap)))))   ### NotExists 10
% 25.88/26.10  12. (model T_2 T_1) (-. (model T_2 T_1))   ### Axiom
% 25.88/26.10  13. (-. (model T_2 T_0)) (model T_2 T_0)   ### Axiom
% 25.88/26.10  14. ((model T_2 T_1) => (model T_2 T_0)) (-. (model T_2 T_0)) (model T_2 T_1)   ### Imply 12 13
% 25.88/26.10  15. (All I1, ((model I1 T_1) => (model I1 T_0))) (model T_2 T_1) (-. (model T_2 T_0))   ### All 14
% 25.88/26.10  16. ((All I1, ((model I1 T_1) => (model I1 T_0))) <=> (status T_1 T_0 (thm))) (-. (model T_2 T_0)) (model T_2 T_1) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (Ex I2, (model I2 T_0)) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm)))))))   ### Equiv 11 15
% 25.88/26.10  17. (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (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 (sap))))) (model T_2 T_1) (-. (model T_2 T_0))   ### All 16
% 25.88/26.10  18. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (model T_2 T_0)) (model T_2 T_1) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (Ex I2, (model I2 T_0)) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm)))))))   ### All 17
% 25.88/26.10  19. ((model T_2 T_1) /\ ((-. (model T_2 T_0)) /\ (Ex I2, (model I2 T_0)))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm)))))   ### ConjTree 18
% 25.88/26.10  20. (Ex C, ((model T_2 T_1) /\ ((-. (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 (sap))))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm)))))))   ### Exists 19
% 25.88/26.10  21. (Ex Ax, (Ex C, ((model T_2 Ax) /\ ((-. (model T_2 C)) /\ (Ex I2, (model I2 C)))))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm)))))   ### Exists 20
% 25.88/26.10  22. (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 (sap))))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm)))))))   ### Exists 21
% 25.88/26.10  23. (-. (nota (sap) (thm))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (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) 22
% 25.88/26.10  % SZS output end Proof
% 25.88/26.10  (* END-PROOF *)
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