TSTP Solution File: KRS215+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS215+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 : n027.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 03:32:12 EDT 2022
% Result : Theorem 128.80s 129.14s
% Output : Proof 128.80s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n027.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 17:43:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 128.80/129.14 % SZS status Theorem
% 128.80/129.14 (* PROOF-FOUND *)
% 128.80/129.14 (* BEGIN-PROOF *)
% 128.80/129.14 % SZS output start Proof
% 128.80/129.14 1. (-. (model T_0 T_1)) (model T_0 T_1) ### Axiom
% 128.80/129.14 2. (All I, (model I T_1)) (-. (model T_0 T_1)) ### All 1
% 128.80/129.14 3. (model T_0 (not T_2)) (-. (model T_0 (not T_2))) ### Axiom
% 128.80/129.14 4. (-. ((model T_0 T_1) /\ (model T_0 (not T_2)))) (model T_0 (not T_2)) (All I, (model I T_1)) ### NotAnd 2 3
% 128.80/129.14 5. (-. (Ex I1, ((model I1 T_1) /\ (model I1 (not T_2))))) (All I, (model I T_1)) (model T_0 (not T_2)) ### NotExists 4
% 128.80/129.14 6. (-. (status T_1 T_2 (csa))) (status T_1 T_2 (csa)) ### Axiom
% 128.80/129.14 7. ((Ex I1, ((model I1 T_1) /\ (model I1 (not T_2)))) <=> (status T_1 T_2 (csa))) (-. (status T_1 T_2 (csa))) (model T_0 (not T_2)) (All I, (model I T_1)) ### Equiv 5 6
% 128.80/129.14 8. (All C, ((Ex I1, ((model I1 T_1) /\ (model I1 (not C)))) <=> (status T_1 C (csa)))) (All I, (model I T_1)) (model T_0 (not T_2)) (-. (status T_1 T_2 (csa))) ### All 7
% 128.80/129.14 9. (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (-. (status T_1 T_2 (csa))) (model T_0 (not T_2)) (All I, (model I T_1)) ### All 8
% 128.80/129.14 10. (-. (status T_1 T_2 (thm))) (status T_1 T_2 (thm)) ### Axiom
% 128.80/129.14 11. (-. (-. (status T_1 T_2 (thm)))) (-. (status T_1 T_2 (thm))) ### NotNot 10
% 128.80/129.14 12. (-. ((status T_1 T_2 (csa)) /\ (-. (status T_1 T_2 (thm))))) (-. (status T_1 T_2 (thm))) (All I, (model I T_1)) (model T_0 (not T_2)) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) ### NotAnd 9 11
% 128.80/129.14 13. (-. (Ex C, ((status T_1 C (csa)) /\ (-. (status T_1 C (thm)))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (model T_0 (not T_2)) (All I, (model I T_1)) (-. (status T_1 T_2 (thm))) ### NotExists 12
% 128.80/129.14 14. (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (-. (status T_1 T_2 (thm))) (All I, (model I T_1)) (model T_0 (not T_2)) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) ### NotExists 13
% 128.80/129.14 15. (model T_3 T_1) (-. (model T_3 T_1)) ### Axiom
% 128.80/129.14 16. (-. (model T_3 T_2)) (model T_3 T_2) ### Axiom
% 128.80/129.14 17. ((model T_3 T_1) => (model T_3 T_2)) (-. (model T_3 T_2)) (model T_3 T_1) ### Imply 15 16
% 128.80/129.14 18. (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_3 T_1) (-. (model T_3 T_2)) ### All 17
% 128.80/129.14 19. (model T_3 (not T_2)) (-. (model T_3 (not T_2))) ### Axiom
% 128.80/129.14 20. ((model T_3 T_2) <=> (-. (model T_3 (not T_2)))) (model T_3 (not T_2)) (model T_3 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) ### Equiv 18 19
% 128.80/129.14 21. (All F, ((model T_3 F) <=> (-. (model T_3 (not F))))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_3 T_1) (model T_3 (not T_2)) ### All 20
% 128.80/129.14 22. (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (model T_3 (not T_2)) (model T_3 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) ### All 21
% 128.80/129.14 23. ((model T_3 T_1) /\ (model T_3 (not T_2))) (All I1, ((model I1 T_1) => (model I1 T_2))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) ### And 22
% 128.80/129.14 24. (Ex I1, ((model I1 T_1) /\ (model I1 (not T_2)))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All I1, ((model I1 T_1) => (model I1 T_2))) ### Exists 23
% 128.80/129.14 25. ((Ex I1, ((model I1 T_1) /\ (model I1 (not T_2)))) <=> (status T_1 T_2 (csa))) (All I1, ((model I1 T_1) => (model I1 T_2))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (model T_0 (not T_2)) (All I, (model I T_1)) ### Equiv 5 24
% 128.80/129.14 26. (All C, ((Ex I1, ((model I1 T_1) /\ (model I1 (not C)))) <=> (status T_1 C (csa)))) (All I, (model I T_1)) (model T_0 (not T_2)) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All I1, ((model I1 T_1) => (model I1 T_2))) ### All 25
% 128.80/129.14 27. (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All I1, ((model I1 T_1) => (model I1 T_2))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (model T_0 (not T_2)) (All I, (model I T_1)) ### All 26
% 128.80/129.14 28. ((All I1, ((model I1 T_1) => (model I1 T_2))) <=> (status T_1 T_2 (thm))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (model T_0 (not T_2)) (All I, (model I T_1)) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) ### Equiv 14 27
% 128.80/129.14 29. (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All I, (model I T_1)) (model T_0 (not T_2)) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) ### All 28
% 128.80/129.14 30. (-. (model T_0 T_2)) (model T_0 T_2) ### Axiom
% 128.80/129.14 31. (-. ((model T_0 T_2) <=> (model T_0 (not T_2)))) (-. (model T_0 T_2)) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All I, (model I T_1)) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) ### NotEquiv 29 30
% 128.80/129.14 32. (All F, (-. ((model T_0 F) <=> (model T_0 (not F))))) (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All I, (model I T_1)) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (-. (model T_0 T_2)) ### All 31
% 128.80/129.14 33. (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_0 T_2)) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All I, (model I T_1)) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) ### All 32
% 128.80/129.14 34. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All I, (model I T_1)) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (-. (model T_0 T_2)) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) ### All 33
% 128.80/129.14 35. (Ex F, (All I, (model I F))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_0 T_2)) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### Exists 34
% 128.80/129.14 36. ((-. (model T_0 T_2)) /\ (model T_0 T_4)) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (Ex F, (All I, (model I F))) ### And 35
% 128.80/129.14 37. (Ex I3, ((-. (model I3 T_2)) /\ (model I3 T_4))) (Ex F, (All I, (model I F))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### Exists 36
% 128.80/129.14 38. ((Ex I1, (model I1 T_2)) /\ ((All I1, ((model I1 T_2) => (model I1 T_4))) /\ ((Ex I3, ((-. (model I3 T_2)) /\ (model I3 T_4))) /\ (Ex I4, (-. (model I4 T_4)))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (Ex F, (All I, (model I F))) ### ConjTree 37
% 128.80/129.14 39. (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 I, (All F, (-. ((model I F) <=> (model I (not F)))))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### Exists 38
% 128.80/129.14 40. (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)))))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (Ex Ax, (Ex C, ((status Ax C (csa)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (Ex F, (All I, (model I F))) ### Exists 39
% 128.80/129.14 41. (-. (nota (csa) (thm))) (Ex F, (All I, (model I F))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (All I, (All F, ((model I F) <=> (-. (model I (not F)))))) (All Ax, (All C, ((Ex I1, ((model I1 Ax) /\ (model I1 (not C)))) <=> (status Ax C (csa))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (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(nota) 40
% 128.80/129.14 % SZS output end Proof
% 128.80/129.14 (* END-PROOF *)
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