TSTP Solution File: KRS268+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS268+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 03:39:53 EDT 2022
% Result : Theorem 0.41s 0.62s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS268+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 08:31:46 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.41/0.62 (* PROOF-FOUND *)
% 0.41/0.62 % SZS status Theorem
% 0.41/0.62 (* BEGIN-PROOF *)
% 0.41/0.62 % SZS output start Proof
% 0.41/0.62 Theorem mighta_wca_thm : (mighta (wca) (thm)).
% 0.41/0.62 Proof.
% 0.41/0.62 assert (zenon_L1_ : forall (zenon_TF_bn : zenon_U) (zenon_TF_bo : zenon_U), (forall C : zenon_U, (((~(exists I2 : zenon_U, (model I2 zenon_TF_bo)))/\((exists I2 : zenon_U, (model I2 C))/\(exists I4 : zenon_U, (~(model I4 C)))))<->(status zenon_TF_bo C (wca)))) -> (exists I2 : zenon_U, (~(model I2 zenon_TF_bn))) -> (exists I1 : zenon_U, (model I1 zenon_TF_bn)) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bo))) -> (~(status zenon_TF_bo zenon_TF_bn (wca))) -> False).
% 0.41/0.62 do 2 intro. intros zenon_H22 zenon_H23 zenon_H24 zenon_H25 zenon_H26.
% 0.41/0.62 generalize (zenon_H22 zenon_TF_bn). zenon_intro zenon_H29.
% 0.41/0.62 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H2c; zenon_intro zenon_H26 | zenon_intro zenon_H2b; zenon_intro zenon_H2a ].
% 0.41/0.62 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 0.41/0.62 exact (zenon_H2e zenon_H25).
% 0.41/0.62 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.41/0.62 exact (zenon_H30 zenon_H24).
% 0.41/0.62 exact (zenon_H2f zenon_H23).
% 0.41/0.62 exact (zenon_H26 zenon_H2a).
% 0.41/0.62 (* end of lemma zenon_L1_ *)
% 0.41/0.62 assert (zenon_L2_ : forall (zenon_TF_bn : zenon_U) (zenon_TF_bo : zenon_U), (~(status zenon_TF_bo zenon_TF_bn (wca))) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bo))) -> (exists I1 : zenon_U, (model I1 zenon_TF_bn)) -> (exists I2 : zenon_U, (~(model I2 zenon_TF_bn))) -> False).
% 0.41/0.62 do 2 intro. intros zenon_H26 zenon_H25 zenon_H24 zenon_H23.
% 0.41/0.62 generalize (wca zenon_TF_bo). zenon_intro zenon_H22.
% 0.41/0.62 apply (zenon_L1_ zenon_TF_bn zenon_TF_bo); trivial.
% 0.41/0.62 (* end of lemma zenon_L2_ *)
% 0.41/0.62 apply NNPP. intro zenon_G.
% 0.41/0.62 elim satisfiable. zenon_intro zenon_TF_bn. zenon_intro zenon_H31.
% 0.41/0.62 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.41/0.62 elim contradiction. zenon_intro zenon_TF_bo. zenon_intro zenon_H32.
% 0.41/0.62 generalize (mighta (wca)). zenon_intro zenon_H33.
% 0.41/0.62 generalize (zenon_H33 (thm)). zenon_intro zenon_H34.
% 0.41/0.62 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H37; zenon_intro zenon_G | zenon_intro zenon_H36; zenon_intro zenon_H35 ].
% 0.41/0.62 apply zenon_H37. exists zenon_TF_bo. apply NNPP. zenon_intro zenon_H38.
% 0.41/0.62 generalize (thm zenon_TF_bo). zenon_intro zenon_H39.
% 0.41/0.62 generalize (zenon_H39 zenon_TF_bn). zenon_intro zenon_H3a.
% 0.41/0.62 apply (zenon_equiv_s _ _ zenon_H3a); [ zenon_intro zenon_H3e; zenon_intro zenon_H3d | zenon_intro zenon_H3c; zenon_intro zenon_H3b ].
% 0.41/0.62 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TF_bo)->(model I1 zenon_TF_bn))) zenon_H3e); [ zenon_intro zenon_H3f; idtac ].
% 0.41/0.62 elim zenon_H3f. zenon_intro zenon_TI1_cm. zenon_intro zenon_H41.
% 0.41/0.62 apply (zenon_notimply_s _ _ zenon_H41). zenon_intro zenon_H43. zenon_intro zenon_H42.
% 0.41/0.62 generalize (zenon_H32 zenon_TI1_cm). zenon_intro zenon_H44.
% 0.41/0.62 exact (zenon_H44 zenon_H43).
% 0.41/0.62 apply zenon_H38. exists zenon_TF_bn. apply NNPP. zenon_intro zenon_H45.
% 0.41/0.62 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H26 | zenon_intro zenon_H3d ].
% 0.41/0.62 generalize (cax zenon_TF_bo). zenon_intro zenon_H0.
% 0.41/0.62 generalize (zenon_H0 zenon_E). zenon_intro zenon_H46.
% 0.41/0.62 apply (zenon_equiv_s _ _ zenon_H46); [ zenon_intro zenon_H2e; zenon_intro zenon_H48 | zenon_intro zenon_H25; zenon_intro zenon_H47 ].
% 0.41/0.62 apply zenon_H2e. zenon_intro zenon_H49.
% 0.41/0.62 elim zenon_H49. zenon_intro zenon_TI2_cw. zenon_intro zenon_H4b.
% 0.41/0.62 generalize (zenon_H32 zenon_TI2_cw). zenon_intro zenon_H4c.
% 0.41/0.62 exact (zenon_H4c zenon_H4b).
% 0.41/0.62 apply (zenon_L2_ zenon_TF_bn zenon_TF_bo); trivial.
% 0.41/0.62 exact (zenon_H3d zenon_H3b).
% 0.41/0.62 exact (zenon_G zenon_H35).
% 0.41/0.62 Qed.
% 0.41/0.62 % SZS output end Proof
% 0.41/0.62 (* END-PROOF *)
% 0.41/0.62 nodes searched: 4065
% 0.41/0.62 max branch formulas: 1576
% 0.41/0.62 proof nodes created: 228
% 0.41/0.62 formulas created: 28358
% 0.41/0.62
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