%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n027.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 03:39:39 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jun  7 19:36:55 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.48  (* PROOF-FOUND *)
% 0.18/0.48  % SZS status Theorem
% 0.18/0.48  (* BEGIN-PROOF *)
% 0.18/0.48  % SZS output start Proof
% 0.18/0.48  Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\(forall X : zenon_U, ((cCar X)<->(cAutomobile X))))).
% 0.18/0.48  Proof.
% 0.18/0.48  apply NNPP. intro zenon_G.
% 0.18/0.48  apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H6 | zenon_intro zenon_H5 ].
% 0.18/0.48  exact (zenon_H6 axiom_0).
% 0.18/0.48  apply (zenon_notand_s _ _ zenon_H5); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ].
% 0.18/0.48  exact (zenon_H8 axiom_1).
% 0.18/0.48  apply (zenon_notallex_s (fun X : zenon_U => ((cCar X)<->(cAutomobile X))) zenon_H7); [ zenon_intro zenon_H9; idtac ].
% 0.18/0.48  elim zenon_H9. zenon_intro zenon_TX_k. zenon_intro zenon_Hb.
% 0.18/0.48  apply (zenon_notequiv_s _ _ zenon_Hb); [ zenon_intro zenon_Hf; zenon_intro zenon_He | zenon_intro zenon_Hd; zenon_intro zenon_Hc ].
% 0.18/0.48  generalize (axiom_2 zenon_TX_k). zenon_intro zenon_H10.
% 0.18/0.48  apply (zenon_imply_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_Hd ].
% 0.18/0.48  exact (zenon_Hc zenon_He).
% 0.18/0.48  exact (zenon_Hf zenon_Hd).
% 0.18/0.48  generalize (axiom_3 zenon_TX_k). zenon_intro zenon_H11.
% 0.18/0.48  apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.18/0.48  exact (zenon_Hf zenon_Hd).
% 0.18/0.48  exact (zenon_Hc zenon_He).
% 0.18/0.48  Qed.
% 0.18/0.48  % SZS output end Proof
% 0.18/0.48  (* END-PROOF *)
% 0.18/0.48  nodes searched: 37
% 0.18/0.48  max branch formulas: 19
% 0.18/0.48  proof nodes created: 19
% 0.18/0.48  formulas created: 162
% 0.18/0.48  
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