TSTP Solution File: KRS186+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : KRS186+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 03:39:42 EDT 2022

% Result   : Theorem 1.37s 1.55s
% Output   : Proof 1.37s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS186+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13  % 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 11:01:01 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.37/1.55  (* PROOF-FOUND *)
% 1.37/1.55  % SZS status Theorem
% 1.37/1.55  (* BEGIN-PROOF *)
% 1.37/1.55  % SZS output start Proof
% 1.37/1.55  Theorem isa_eqv_thm : (isa (eqv) (thm)).
% 1.37/1.55  Proof.
% 1.37/1.55  apply NNPP. intro zenon_G.
% 1.37/1.55  generalize (isa (eqv)). zenon_intro zenon_H21.
% 1.37/1.55  generalize (zenon_H21 (thm)). zenon_intro zenon_H22.
% 1.37/1.55  apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H25; zenon_intro zenon_G | zenon_intro zenon_H24; zenon_intro zenon_H23 ].
% 1.37/1.55  apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (eqv))->(status Ax C (thm))))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 1.37/1.55  elim zenon_H26. zenon_intro zenon_TAx_bn. zenon_intro zenon_H28.
% 1.37/1.55  apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bn C (eqv))->(status zenon_TAx_bn C (thm)))) zenon_H28); [ zenon_intro zenon_H29; idtac ].
% 1.37/1.55  elim zenon_H29. zenon_intro zenon_TC_bq. zenon_intro zenon_H2b.
% 1.37/1.55  apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 1.37/1.55  generalize (thm zenon_TAx_bn). zenon_intro zenon_H2e.
% 1.37/1.55  generalize (zenon_H2e zenon_TC_bq). zenon_intro zenon_H2f.
% 1.37/1.55  apply (zenon_equiv_s _ _ zenon_H2f); [ zenon_intro zenon_H32; zenon_intro zenon_H2c | zenon_intro zenon_H31; zenon_intro zenon_H30 ].
% 1.37/1.55  apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bn)->(model I1 zenon_TC_bq))) zenon_H32); [ zenon_intro zenon_H33; idtac ].
% 1.37/1.55  elim zenon_H33. zenon_intro zenon_TI1_ca. zenon_intro zenon_H35.
% 1.37/1.55  apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 1.37/1.55  generalize (eqv zenon_TAx_bn). zenon_intro zenon_H38.
% 1.37/1.55  generalize (zenon_H38 zenon_TC_bq). zenon_intro zenon_H39.
% 1.37/1.55  apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H2d ].
% 1.37/1.55  exact (zenon_H3b zenon_H2d).
% 1.37/1.55  apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3e. zenon_intro zenon_H3d.
% 1.37/1.55  generalize (zenon_H3d zenon_TI1_ca). zenon_intro zenon_H3f.
% 1.37/1.55  apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H41; zenon_intro zenon_H36 | zenon_intro zenon_H37; zenon_intro zenon_H40 ].
% 1.37/1.55  exact (zenon_H41 zenon_H37).
% 1.37/1.55  exact (zenon_H36 zenon_H40).
% 1.37/1.55  exact (zenon_H2c zenon_H30).
% 1.37/1.55  exact (zenon_G zenon_H23).
% 1.37/1.55  Qed.
% 1.37/1.55  % SZS output end Proof
% 1.37/1.55  (* END-PROOF *)
% 1.37/1.55  nodes searched: 60213
% 1.37/1.55  max branch formulas: 4439
% 1.37/1.55  proof nodes created: 3956
% 1.37/1.55  formulas created: 181702
% 1.37/1.55  
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