%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : KRS144+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n023.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 03:39:35 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : KRS144+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n023.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 11:15:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  (* PROOF-FOUND *)
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  (* BEGIN-PROOF *)
% 0.18/0.49  % SZS output start Proof
% 0.18/0.49  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, ((cc X)->(forall Y0 : zenon_U, (forall Y1 : zenon_U, (forall Y2 : zenon_U, (((rp X Y0)/\((rp X Y1)/\(rp X Y2)))->((Y0 = Y1)\/((Y0 = Y2)\/(Y1 = Y2)))))))))/\(forall X : zenon_U, ((cc X)->(exists Y0 : zenon_U, (exists Y1 : zenon_U, ((rp X Y0)/\((rp X Y1)/\(~(Y0 = Y1))))))))))).
% 0.18/0.49  Proof.
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ].
% 0.18/0.49  exact (zenon_Hc axiom_0).
% 0.18/0.49  apply (zenon_notand_s _ _ zenon_Hb); [ zenon_intro zenon_He | zenon_intro zenon_Hd ].
% 0.18/0.49  exact (zenon_He axiom_1).
% 0.18/0.49  apply (zenon_notand_s _ _ zenon_Hd); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ].
% 0.18/0.49  apply (zenon_notallex_s (fun X : zenon_U => ((cc X)->(forall Y0 : zenon_U, (forall Y1 : zenon_U, (forall Y2 : zenon_U, (((rp X Y0)/\((rp X Y1)/\(rp X Y2)))->((Y0 = Y1)\/((Y0 = Y2)\/(Y1 = Y2))))))))) zenon_H10); [ zenon_intro zenon_H11; idtac ].
% 0.18/0.49  elim zenon_H11. zenon_intro zenon_TX_s. zenon_intro zenon_H13.
% 0.18/0.49  apply (zenon_notimply_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.18/0.49  generalize (axiom_2 zenon_TX_s). zenon_intro zenon_H16.
% 0.18/0.49  apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.18/0.49  exact (zenon_H18 zenon_H15).
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.18/0.49  exact (zenon_H14 zenon_H19).
% 0.18/0.49  apply (zenon_notallex_s (fun X : zenon_U => ((cc X)->(exists Y0 : zenon_U, (exists Y1 : zenon_U, ((rp X Y0)/\((rp X Y1)/\(~(Y0 = Y1)))))))) zenon_Hf); [ zenon_intro zenon_H1b; idtac ].
% 0.18/0.49  elim zenon_H1b. zenon_intro zenon_TX_bc. zenon_intro zenon_H1d.
% 0.18/0.49  apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.18/0.49  generalize (axiom_2 zenon_TX_bc). zenon_intro zenon_H20.
% 0.18/0.49  apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.18/0.49  exact (zenon_H22 zenon_H1f).
% 0.18/0.49  apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.18/0.49  exact (zenon_H1e zenon_H24).
% 0.18/0.49  Qed.
% 0.18/0.49  % SZS output end Proof
% 0.18/0.49  (* END-PROOF *)
% 0.18/0.49  nodes searched: 227
% 0.18/0.49  max branch formulas: 149
% 0.18/0.49  proof nodes created: 27
% 0.18/0.49  formulas created: 1365
% 0.18/0.49  
%------------------------------------------------------------------------------