%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET859-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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  : 300s
% DateTime : Thu May  9 17:40:15 EDT 2024

% Result   : Unsatisfiable 0.37s 0.53s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   11 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
    c_lessequals(X3,c_Zorn_Osucc(X2,X3,X4),tc_set(tc_set(X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

cnf(cls_Set_Osubset__trans_0,axiom,
    ( ~ c_lessequals(X8,X7,tc_set(X5))
    | ~ c_lessequals(X6,X8,tc_set(X5))
    | c_lessequals(X6,X7,tc_set(X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

cnf(c1,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(X11,X14,X13),X12,tc_set(tc_set(X13)))
    | c_lessequals(X14,X12,tc_set(tc_set(X13))) ),
    inference(resolution,[status(thm)],[cls_Set_Osubset__trans_0,cls_Zorn_OAbrial__axiom1_0]) ).

cnf(c4,plain,
    c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    inference(resolution,[status(thm)],[c1,cls_conjecture_2]) ).

cnf(c5,plain,
    $false,
    inference(resolution,[status(thm)],[c4,cls_conjecture_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET859-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed May  8 19:42:23 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.37/0.53  % Version:  1.5
% 0.37/0.53  % SZS status Unsatisfiable
% 0.37/0.53  % SZS output start CNFRefutation
% See solution above
% 0.37/0.53  
% 0.37/0.53  % Initial clauses    : 4
% 0.37/0.53  % Processed clauses  : 6
% 0.37/0.53  % Factors computed   : 1
% 0.37/0.53  % Resolvents computed: 6
% 0.37/0.53  % Tautologies deleted: 1
% 0.37/0.53  % Forward subsumed   : 0
% 0.37/0.53  % Backward subsumed  : 0
% 0.37/0.53  % -------- CPU Time ---------
% 0.37/0.53  % User time          : 0.166 s
% 0.37/0.53  % System time        : 0.019 s
% 0.37/0.53  % Total time         : 0.185 s
%------------------------------------------------------------------------------