TSTP Solution File: KRS194+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : KRS194+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 03:32:09 EDT 2022

% Result   : Theorem 2.95s 3.17s
% Output   : Proof 2.95s
% 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  : KRS194+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 06:52:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.95/3.17  % SZS status Theorem
% 2.95/3.17  (* PROOF-FOUND *)
% 2.95/3.17  (* BEGIN-PROOF *)
% 2.95/3.17  % SZS output start Proof
% 2.95/3.17  1. (status T_0 T_1 (sca)) (-. (status T_0 T_1 (sca)))   ### Axiom
% 2.95/3.17  2. (Ex I1, (model I1 T_0)) (-. (Ex I1, (model I1 T_0)))   ### Axiom
% 2.95/3.17  3. ((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 T_1))) (Ex I1, (model I1 T_0))   ### And 2
% 2.95/3.17  4. (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 T_1))) <=> (status T_0 T_1 (sca))) (Ex I1, (model I1 T_0)) (status T_0 T_1 (sca))   ### Equiv 1 3
% 2.95/3.17  5. (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca)))) (status T_0 T_1 (sca)) (Ex I1, (model I1 T_0))   ### All 4
% 2.95/3.17  6. (-. (-. (Ex I1, (model I1 T_0)))) (status T_0 T_1 (sca)) (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca))))   ### NotNot 5
% 2.95/3.17  7. (model T_2 T_0) (-. (model T_2 T_0))   ### Axiom
% 2.95/3.17  8. (-. (Ex I1, (model I1 T_0))) (model T_2 T_0)   ### NotExists 7
% 2.95/3.17  9. ((-. (Ex I1, (model I1 T_0))) <=> (status T_0 zenon_X3 (cax))) (model T_2 T_0) (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca)))) (status T_0 T_1 (sca))   ### Equiv 6 8
% 2.95/3.17  10. (All C, ((-. (Ex I1, (model I1 T_0))) <=> (status T_0 C (cax)))) (status T_0 T_1 (sca)) (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca)))) (model T_2 T_0)   ### All 9
% 2.95/3.17  11. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (model T_2 T_0) (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca)))) (status T_0 T_1 (sca))   ### All 10
% 2.95/3.17  12. (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (status T_0 T_1 (sca)) (model T_2 T_0) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax)))))   ### All 11
% 2.95/3.17  13. (-. ((model T_2 T_0) => (model T_2 T_1))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (status T_0 T_1 (sca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca)))))   ### NotImply 12
% 2.95/3.17  14. (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (status T_0 T_1 (sca)) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax)))))   ### NotAllEx 13
% 2.95/3.17  15. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm))   ### Axiom
% 2.95/3.17  16. ((All I1, ((model I1 T_0) => (model I1 T_1))) <=> (status T_0 T_1 (thm))) (-. (status T_0 T_1 (thm))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (status T_0 T_1 (sca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca)))))   ### Equiv 14 15
% 2.95/3.17  17. (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (status T_0 T_1 (sca)) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (status T_0 T_1 (thm)))   ### All 16
% 2.95/3.17  18. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (status T_0 T_1 (thm))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (status T_0 T_1 (sca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca)))))   ### All 17
% 2.95/3.17  19. (-. ((status T_0 T_1 (sca)) => (status T_0 T_1 (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))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm)))))   ### NotImply 18
% 2.95/3.17  20. (-. (All C, ((status T_0 C (sca)) => (status T_0 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))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca)))))   ### NotAllEx 19
% 2.95/3.17  21. (-. (All Ax, (All C, ((status Ax C (sca)) => (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))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm)))))   ### NotAllEx 20
% 2.95/3.17  22. (-. (isa (sca) (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))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca)))))   ### Definition-Pseudo(isa) 21
% 2.95/3.17  % SZS output end Proof
% 2.95/3.17  (* END-PROOF *)
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