TSTP Solution File: KRS196+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : KRS196+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n022.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 1.74s 1.95s
% Output   : Proof 1.74s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS196+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n022.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 13:33:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.74/1.95  (* PROOF-FOUND *)
% 1.74/1.95  % SZS status Theorem
% 1.74/1.95  (* BEGIN-PROOF *)
% 1.74/1.95  % SZS output start Proof
% 1.74/1.95  Theorem isa_wca_thm : (isa (wca) (thm)).
% 1.74/1.95  Proof.
% 1.74/1.95  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 (wca)) -> False).
% 1.74/1.95  do 2 intro. intros zenon_H22 zenon_H23.
% 1.74/1.95  generalize (wca zenon_TAx_bl). zenon_intro zenon_H26.
% 1.74/1.95  generalize (zenon_H26 zenon_TC_bk). zenon_intro zenon_H27.
% 1.74/1.95  apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H28; zenon_intro zenon_H23 ].
% 1.74/1.95  exact (zenon_H29 zenon_H23).
% 1.74/1.95  apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 1.74/1.95  exact (zenon_H2c zenon_H22).
% 1.74/1.95  (* end of lemma zenon_L1_ *)
% 1.74/1.95  apply NNPP. intro zenon_G.
% 1.74/1.95  generalize (isa (wca)). zenon_intro zenon_H2d.
% 1.74/1.95  generalize (zenon_H2d (thm)). zenon_intro zenon_H2e.
% 1.74/1.95  apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_G | zenon_intro zenon_H30; zenon_intro zenon_H2f ].
% 1.74/1.95  apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (wca))->(status Ax C (thm))))) zenon_H31); [ zenon_intro zenon_H32; idtac ].
% 1.74/1.95  elim zenon_H32. zenon_intro zenon_TAx_bl. zenon_intro zenon_H33.
% 1.74/1.95  apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bl C (wca))->(status zenon_TAx_bl C (thm)))) zenon_H33); [ zenon_intro zenon_H34; idtac ].
% 1.74/1.95  elim zenon_H34. zenon_intro zenon_TC_bk. zenon_intro zenon_H35.
% 1.74/1.95  apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H23. zenon_intro zenon_H36.
% 1.74/1.95  generalize (thm zenon_TAx_bl). zenon_intro zenon_H37.
% 1.74/1.95  generalize (zenon_H37 zenon_TC_bk). zenon_intro zenon_H38.
% 1.74/1.95  apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3b; zenon_intro zenon_H36 | zenon_intro zenon_H3a; zenon_intro zenon_H39 ].
% 1.74/1.95  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 ].
% 1.74/1.95  elim zenon_H3c. zenon_intro zenon_TI1_cj. zenon_intro zenon_H3e.
% 1.74/1.95  apply (zenon_notimply_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 1.74/1.95  generalize (cax zenon_TAx_bl). zenon_intro zenon_H0.
% 1.74/1.95  generalize (zenon_H0 zenon_E). zenon_intro zenon_H41.
% 1.74/1.95  apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H44; zenon_intro zenon_H43 | zenon_intro zenon_H2c; zenon_intro zenon_H42 ].
% 1.74/1.95  apply zenon_H44. zenon_intro zenon_H22.
% 1.74/1.95  apply (zenon_L1_ zenon_TC_bk zenon_TAx_bl); trivial.
% 1.74/1.95  apply zenon_H2c. exists zenon_TI1_cj. apply NNPP. zenon_intro zenon_H45.
% 1.74/1.95  exact (zenon_H45 zenon_H40).
% 1.74/1.95  exact (zenon_H36 zenon_H39).
% 1.74/1.95  exact (zenon_G zenon_H2f).
% 1.74/1.95  Qed.
% 1.74/1.95  % SZS output end Proof
% 1.74/1.95  (* END-PROOF *)
% 1.74/1.95  nodes searched: 103360
% 1.74/1.95  max branch formulas: 4849
% 1.74/1.95  proof nodes created: 6505
% 1.74/1.95  formulas created: 272144
% 1.74/1.95  
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