%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET845-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 : Tue Jul 19 04:40:42 EDT 2022

% Result   : Unsatisfiable 15.99s 16.20s
% Output   : Refutation 15.99s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    v_m != c_Zorn_Osucc(v_S,v_m,t_a),
    input ).

cnf(symmetry,axiom,
    ( X3 != X4
    | X4 = X3 ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X6 != X8
    | X8 != X7
    | X6 = X7 ),
    eq_axiom ).

cnf(cls_conjecture_1,negated_conjecture,
    v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    input ).

cnf(c13,plain,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = v_m,
    inference(resolution,status(thm),[cls_conjecture_1,symmetry]) ).

cnf(c15,plain,
    ( X51 != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | X51 = v_m ),
    inference(resolution,status(thm),[c13,transitivity]) ).

cnf(cls_Set_OUnion__upper_0,axiom,
    ( ~ c_in(X10,X11,tc_set(X9))
    | c_lessequals(X10,c_Union(X11,X9),tc_set(X9)) ),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    input ).

cnf(cls_Zorn_OTFin_OsuccI_0,axiom,
    ( ~ c_in(X32,c_Zorn_OTFin(X31,X30),tc_set(tc_set(X30)))
    | c_in(c_Zorn_Osucc(X31,X32,X30),c_Zorn_OTFin(X31,X30),tc_set(tc_set(X30))) ),
    input ).

cnf(c23,plain,
    c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(resolution,status(thm),[cls_Zorn_OTFin_OsuccI_0,cls_conjecture_0]) ).

cnf(c95,plain,
    c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(resolution,status(thm),[c23,cls_Set_OUnion__upper_0]) ).

cnf(cls_Set_Osubset__antisym_0,axiom,
    ( ~ c_lessequals(X21,X22,tc_set(X20))
    | ~ c_lessequals(X22,X21,tc_set(X20))
    | X22 = X21 ),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
    c_lessequals(X19,c_Zorn_Osucc(X18,X19,X17),tc_set(tc_set(X17))),
    input ).

cnf(c5,plain,
    ( X74 != X71
    | X70 != X75
    | X72 != X73
    | ~ c_lessequals(X74,X70,X72)
    | c_lessequals(X71,X75,X73) ),
    eq_axiom ).

cnf(c64,plain,
    ( X115 != X117
    | c_Zorn_Osucc(X119,X115,X116) != X120
    | tc_set(tc_set(X116)) != X118
    | c_lessequals(X117,X120,X118) ),
    inference(resolution,status(thm),[c5,cls_Zorn_OAbrial__axiom1_0]) ).

cnf(c292,plain,
    ( X121 != X122
    | tc_set(tc_set(X123)) != X125
    | c_lessequals(X122,c_Zorn_Osucc(X124,X121,X123),X125) ),
    inference(resolution,status(thm),[c64,reflexivity]) ).

cnf(c293,plain,
    ( X129 != X128
    | c_lessequals(X128,c_Zorn_Osucc(X131,X129,X130),tc_set(tc_set(X130))) ),
    inference(resolution,status(thm),[c292,reflexivity]) ).

cnf(c316,plain,
    c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Osucc(X140,v_m,X139),tc_set(tc_set(X139))),
    inference(resolution,status(thm),[c293,cls_conjecture_1]) ).

cnf(c334,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(X2081,v_m,X2080),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(X2080)))
    | c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(X2081,v_m,X2080) ),
    inference(resolution,status(thm),[c316,cls_Set_Osubset__antisym_0]) ).

cnf(c34640,plain,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(v_S,v_m,t_a),
    inference(resolution,status(thm),[c334,c95]) ).

cnf(c34645,plain,
    c_Zorn_Osucc(v_S,v_m,t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    inference(resolution,status(thm),[c34640,symmetry]) ).

cnf(c34803,plain,
    c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
    inference(resolution,status(thm),[c34645,c15]) ).

cnf(c34837,plain,
    v_m = c_Zorn_Osucc(v_S,v_m,t_a),
    inference(resolution,status(thm),[c34803,symmetry]) ).

cnf(c35027,plain,
    $false,
    inference(resolution,status(thm),[c34837,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SET845-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul 11 08:22:07 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 15.99/16.20  # Version:  1.3
% 15.99/16.20  # SZS status Unsatisfiable
% 15.99/16.20  # SZS output start CNFRefutation
% See solution above
% 15.99/16.20  
% 15.99/16.20  # Initial clauses    : 16
% 15.99/16.20  # Processed clauses  : 599
% 15.99/16.20  # Factors computed   : 0
% 15.99/16.20  # Resolvents computed: 35023
% 15.99/16.20  # Tautologies deleted: 1
% 15.99/16.20  # Forward subsumed   : 478
% 15.99/16.20  # Backward subsumed  : 2
% 15.99/16.20  # -------- CPU Time ---------
% 15.99/16.20  # User time          : 15.721 s
% 15.99/16.20  # System time        : 0.109 s
% 15.99/16.20  # Total time         : 15.830 s
%------------------------------------------------------------------------------