TSTP Solution File: KRS194+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS194+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n018.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 0.52s 0.73s
% Output : Proof 0.52s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS194+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n018.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 06:51:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.52/0.73 (* PROOF-FOUND *)
% 0.52/0.73 % SZS status Theorem
% 0.52/0.73 (* BEGIN-PROOF *)
% 0.52/0.73 % SZS output start Proof
% 0.52/0.73 Theorem isa_sca_thm : (isa (sca) (thm)).
% 0.52/0.73 Proof.
% 0.52/0.73 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 (sca)) -> False).
% 0.52/0.73 do 2 intro. intros zenon_H22 zenon_H23.
% 0.52/0.73 generalize (sca zenon_TAx_bl). zenon_intro zenon_H26.
% 0.52/0.73 generalize (zenon_H26 zenon_TC_bk). zenon_intro zenon_H27.
% 0.52/0.73 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H28; zenon_intro zenon_H23 ].
% 0.52/0.73 exact (zenon_H29 zenon_H23).
% 0.52/0.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.52/0.73 exact (zenon_H2c zenon_H22).
% 0.52/0.73 (* end of lemma zenon_L1_ *)
% 0.52/0.73 apply NNPP. intro zenon_G.
% 0.52/0.73 generalize (isa (sca)). zenon_intro zenon_H2d.
% 0.52/0.73 generalize (zenon_H2d (thm)). zenon_intro zenon_H2e.
% 0.52/0.73 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_G | zenon_intro zenon_H30; zenon_intro zenon_H2f ].
% 0.52/0.73 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (sca))->(status Ax C (thm))))) zenon_H31); [ zenon_intro zenon_H32; idtac ].
% 0.52/0.73 elim zenon_H32. zenon_intro zenon_TAx_bl. zenon_intro zenon_H33.
% 0.52/0.73 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bl C (sca))->(status zenon_TAx_bl C (thm)))) zenon_H33); [ zenon_intro zenon_H34; idtac ].
% 0.52/0.73 elim zenon_H34. zenon_intro zenon_TC_bk. zenon_intro zenon_H35.
% 0.52/0.73 apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H23. zenon_intro zenon_H36.
% 0.52/0.73 generalize (thm zenon_TAx_bl). zenon_intro zenon_H37.
% 0.52/0.73 generalize (zenon_H37 zenon_TC_bk). zenon_intro zenon_H38.
% 0.52/0.73 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3b; zenon_intro zenon_H36 | zenon_intro zenon_H3a; zenon_intro zenon_H39 ].
% 0.52/0.73 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bl)->(model I1 zenon_TC_bk))) zenon_H3b); [ zenon_intro zenon_H3c; idtac ].
% 0.52/0.73 elim zenon_H3c. zenon_intro zenon_TI1_cj. zenon_intro zenon_H3e.
% 0.52/0.73 apply (zenon_notimply_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 0.52/0.73 generalize (cax zenon_TAx_bl). zenon_intro zenon_H0.
% 0.52/0.73 generalize (zenon_H0 zenon_E). zenon_intro zenon_H41.
% 0.52/0.73 apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H44; zenon_intro zenon_H43 | zenon_intro zenon_H2c; zenon_intro zenon_H42 ].
% 0.52/0.73 apply zenon_H44. zenon_intro zenon_H22.
% 0.52/0.73 apply (zenon_L1_ zenon_TC_bk zenon_TAx_bl); trivial.
% 0.52/0.73 apply zenon_H2c. exists zenon_TI1_cj. apply NNPP. zenon_intro zenon_H45.
% 0.52/0.73 exact (zenon_H45 zenon_H40).
% 0.52/0.73 exact (zenon_H36 zenon_H39).
% 0.52/0.73 exact (zenon_G zenon_H2f).
% 0.52/0.73 Qed.
% 0.52/0.73 % SZS output end Proof
% 0.52/0.73 (* END-PROOF *)
% 0.52/0.73 nodes searched: 14206
% 0.52/0.73 max branch formulas: 2370
% 0.52/0.73 proof nodes created: 843
% 0.52/0.73 formulas created: 64391
% 0.52/0.73
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