%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : KLE057+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n019.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 02:37:28 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE057+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.13/0.34  % Computer : n019.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 : Thu Jun 16 10:09:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.50  (* PROOF-FOUND *)
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  (* BEGIN-PROOF *)
% 0.19/0.50  % SZS output start Proof
% 0.19/0.50  Theorem goals : (forall X0 : zenon_U, ((X0 = (zero))->((domain X0) = (zero)))).
% 0.19/0.50  Proof.
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  apply (zenon_notallex_s (fun X0 : zenon_U => ((X0 = (zero))->((domain X0) = (zero)))) zenon_G); [ zenon_intro zenon_H12; idtac ].
% 0.19/0.50  elim zenon_H12. zenon_intro zenon_TX0_t. zenon_intro zenon_H14.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 0.19/0.50  cut (((domain (zero)) = (zero)) = ((domain zenon_TX0_t) = (zero))).
% 0.19/0.50  intro zenon_D_pnotp.
% 0.19/0.50  apply zenon_H15.
% 0.19/0.50  rewrite <- zenon_D_pnotp.
% 0.19/0.50  exact domain4.
% 0.19/0.50  cut (((zero) = (zero))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 0.19/0.50  cut (((domain (zero)) = (domain zenon_TX0_t))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 0.19/0.50  congruence.
% 0.19/0.50  elim (classic ((domain zenon_TX0_t) = (domain zenon_TX0_t))); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a ].
% 0.19/0.50  cut (((domain zenon_TX0_t) = (domain zenon_TX0_t)) = ((domain (zero)) = (domain zenon_TX0_t))).
% 0.19/0.50  intro zenon_D_pnotp.
% 0.19/0.50  apply zenon_H18.
% 0.19/0.50  rewrite <- zenon_D_pnotp.
% 0.19/0.50  exact zenon_H19.
% 0.19/0.50  cut (((domain zenon_TX0_t) = (domain zenon_TX0_t))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 0.19/0.50  cut (((domain zenon_TX0_t) = (domain (zero)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 0.19/0.50  congruence.
% 0.19/0.50  cut ((zenon_TX0_t = (zero))); [idtac | apply NNPP; zenon_intro zenon_H1c].
% 0.19/0.50  congruence.
% 0.19/0.50  exact (zenon_H1c zenon_H16).
% 0.19/0.50  apply zenon_H1a. apply refl_equal.
% 0.19/0.50  apply zenon_H1a. apply refl_equal.
% 0.19/0.50  apply zenon_H17. apply refl_equal.
% 0.19/0.50  Qed.
% 0.19/0.50  % SZS output end Proof
% 0.19/0.50  (* END-PROOF *)
% 0.19/0.50  nodes searched: 33
% 0.19/0.50  max branch formulas: 49
% 0.19/0.50  proof nodes created: 6
% 0.19/0.50  formulas created: 418
% 0.19/0.50  
%------------------------------------------------------------------------------