%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET852-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 04:40:47 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    input ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
    input ).

cnf(cls_Zorn_OUnion__lemma0_2,axiom,
    ( ~ c_lessequals(X13,c_Zorn_OUnion__lemma0__1(X15,X13,X14,X16),tc_set(X16))
    | c_lessequals(X13,c_Union(X14,X16),tc_set(X16))
    | c_lessequals(c_Union(X14,X16),X15,tc_set(X16)) ),
    input ).

cnf(cls_Zorn_OUnion__lemma0_1,axiom,
    ( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X10,X8,X9,X11),X10,tc_set(X11))
    | c_lessequals(X8,c_Union(X9,X11),tc_set(X11))
    | c_lessequals(c_Union(X9,X11),X10,tc_set(X11)) ),
    input ).

cnf(cls_Zorn_OUnion__lemma0_0,axiom,
    ( c_in(c_Zorn_OUnion__lemma0__1(X4,X2,X3,X5),X3,tc_set(X5))
    | c_lessequals(X2,c_Union(X3,X5),tc_set(X5))
    | c_lessequals(c_Union(X3,X5),X4,tc_set(X5)) ),
    input ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X12,tc_set(tc_set(t_a)))
    | c_lessequals(X12,v_m,tc_set(tc_set(t_a)))
    | ~ c_in(X12,v_Y,tc_set(tc_set(t_a))) ),
    input ).

cnf(c4,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(X38,X37,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_OUnion__lemma0__1(X38,X37,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
    | c_lessequals(X37,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
    | c_lessequals(c_Union(v_Y,tc_set(t_a)),X38,tc_set(tc_set(t_a))) ),
    inference(resolution,status(thm),[cls_conjecture_4,cls_Zorn_OUnion__lemma0_0]) ).

cnf(c35,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(v_m,X61,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
    | c_lessequals(X61,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
    | c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
    inference(resolution,status(thm),[c4,cls_Zorn_OUnion__lemma0_1]) ).

cnf(c61,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
    | c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
    inference(resolution,status(thm),[c35,cls_Zorn_OUnion__lemma0_2]) ).

cnf(c69,plain,
    c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    inference(resolution,status(thm),[c61,cls_conjecture_3]) ).

cnf(c71,plain,
    $false,
    inference(resolution,status(thm),[c69,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET852-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 05:31:38 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.53  # Version:  1.3
% 0.19/0.53  # SZS status Unsatisfiable
% 0.19/0.53  # SZS output start CNFRefutation
% See solution above
% 0.19/0.53  
% 0.19/0.53  # Initial clauses    : 6
% 0.19/0.53  # Processed clauses  : 27
% 0.19/0.53  # Factors computed   : 14
% 0.19/0.53  # Resolvents computed: 58
% 0.19/0.53  # Tautologies deleted: 0
% 0.19/0.53  # Forward subsumed   : 5
% 0.19/0.53  # Backward subsumed  : 2
% 0.19/0.53  # -------- CPU Time ---------
% 0.19/0.53  # User time          : 0.180 s
% 0.19/0.53  # System time        : 0.010 s
% 0.19/0.53  # Total time         : 0.190 s
%------------------------------------------------------------------------------