TSTP Solution File: KRS193+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS193+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.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 03:39:44 EDT 2022
% Result : Theorem 1.52s 1.69s
% Output : Proof 1.52s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS193+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n029.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 13:25:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.52/1.69 (* PROOF-FOUND *)
% 1.52/1.69 % SZS status Theorem
% 1.52/1.69 (* BEGIN-PROOF *)
% 1.52/1.69 % SZS output start Proof
% 1.52/1.69 Theorem isa_cax_thm : (isa (cax) (thm)).
% 1.52/1.69 Proof.
% 1.52/1.69 assert (zenon_L1_ : forall (zenon_TC_bk : zenon_U) (zenon_TAx_bl : zenon_U), (exists I2 : zenon_U, (model I2 zenon_TAx_bl)) -> (status zenon_TAx_bl zenon_TC_bk (cax)) -> False).
% 1.52/1.69 do 2 intro. intros zenon_H22 zenon_H23.
% 1.52/1.69 generalize (cax zenon_TAx_bl). zenon_intro zenon_H0.
% 1.52/1.69 generalize (zenon_H0 zenon_TC_bk). zenon_intro zenon_H26.
% 1.52/1.69 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro zenon_H27; zenon_intro zenon_H23 ].
% 1.52/1.69 exact (zenon_H28 zenon_H23).
% 1.52/1.69 exact (zenon_H27 zenon_H22).
% 1.52/1.69 (* end of lemma zenon_L1_ *)
% 1.52/1.69 apply NNPP. intro zenon_G.
% 1.52/1.69 generalize (isa (cax)). zenon_intro zenon_H2a.
% 1.52/1.69 generalize (zenon_H2a (thm)). zenon_intro zenon_H2b.
% 1.52/1.69 apply (zenon_equiv_s _ _ zenon_H2b); [ zenon_intro zenon_H2e; zenon_intro zenon_G | zenon_intro zenon_H2d; zenon_intro zenon_H2c ].
% 1.52/1.69 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (cax))->(status Ax C (thm))))) zenon_H2e); [ zenon_intro zenon_H2f; idtac ].
% 1.52/1.69 elim zenon_H2f. zenon_intro zenon_TAx_bl. zenon_intro zenon_H30.
% 1.52/1.69 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bl C (cax))->(status zenon_TAx_bl C (thm)))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 1.52/1.69 elim zenon_H31. zenon_intro zenon_TC_bk. zenon_intro zenon_H32.
% 1.52/1.69 apply (zenon_notimply_s _ _ zenon_H32). zenon_intro zenon_H23. zenon_intro zenon_H33.
% 1.52/1.69 generalize (thm zenon_TAx_bl). zenon_intro zenon_H34.
% 1.52/1.69 generalize (zenon_H34 zenon_TC_bk). zenon_intro zenon_H35.
% 1.52/1.69 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H38; zenon_intro zenon_H33 | zenon_intro zenon_H37; zenon_intro zenon_H36 ].
% 1.52/1.69 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bl)->(model I1 zenon_TC_bk))) zenon_H38); [ zenon_intro zenon_H39; idtac ].
% 1.52/1.69 elim zenon_H39. zenon_intro zenon_TI1_cg. zenon_intro zenon_H3b.
% 1.52/1.69 apply (zenon_notimply_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 1.52/1.69 generalize (cax zenon_TAx_bl). zenon_intro zenon_H0.
% 1.52/1.69 generalize (zenon_H0 zenon_E). zenon_intro zenon_H3e.
% 1.52/1.69 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H29; zenon_intro zenon_H40 | zenon_intro zenon_H27; zenon_intro zenon_H3f ].
% 1.52/1.69 apply zenon_H29. zenon_intro zenon_H22.
% 1.52/1.69 apply (zenon_L1_ zenon_TC_bk zenon_TAx_bl); trivial.
% 1.52/1.69 apply zenon_H27. exists zenon_TI1_cg. apply NNPP. zenon_intro zenon_H41.
% 1.52/1.69 exact (zenon_H41 zenon_H3d).
% 1.52/1.69 exact (zenon_H33 zenon_H36).
% 1.52/1.69 exact (zenon_G zenon_H2c).
% 1.52/1.69 Qed.
% 1.52/1.69 % SZS output end Proof
% 1.52/1.69 (* END-PROOF *)
% 1.52/1.69 nodes searched: 88676
% 1.52/1.69 max branch formulas: 4828
% 1.52/1.69 proof nodes created: 5672
% 1.52/1.69 formulas created: 240947
% 1.52/1.69
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