%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 17:40:14 EDT 2024

% Result   : Unsatisfiable 0.40s 0.57s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   5 RR)
%            Number of literals    :   12 (   6 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   15 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(symmetry,axiom,
    ( X5 != X6
    | X6 = X5 ),
    theory(equality) ).

cnf(cls_Zorn_Oequal__succ__Union_1,axiom,
    ( ~ c_in(c_Union(c_Zorn_OTFin(X24,X25),tc_set(X25)),c_Zorn_OTFin(X24,X25),tc_set(tc_set(X25)))
    | c_Union(c_Zorn_OTFin(X24,X25),tc_set(X25)) = c_Zorn_Osucc(X24,c_Union(c_Zorn_OTFin(X24,X25),tc_set(X25)),X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X3,X3,tc_set(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

cnf(cls_Zorn_OTFin__UnionI_0,axiom,
    ( ~ c_lessequals(X12,c_Zorn_OTFin(X11,X13),tc_set(tc_set(tc_set(X13))))
    | c_in(c_Union(X12,tc_set(X13)),c_Zorn_OTFin(X11,X13),tc_set(tc_set(X13))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

cnf(c9,plain,
    c_in(c_Union(c_Zorn_OTFin(X46,X47),tc_set(X47)),c_Zorn_OTFin(X46,X47),tc_set(tc_set(X47))),
    inference(resolution,[status(thm)],[cls_Zorn_OTFin__UnionI_0,cls_Set_Osubset__refl_0]) ).

cnf(c19,plain,
    c_Union(c_Zorn_OTFin(X104,X105),tc_set(X105)) = c_Zorn_Osucc(X104,c_Union(c_Zorn_OTFin(X104,X105),tc_set(X105)),X105),
    inference(resolution,[status(thm)],[c9,cls_Zorn_Oequal__succ__Union_1]) ).

cnf(c45,plain,
    c_Zorn_Osucc(X147,c_Union(c_Zorn_OTFin(X147,X146),tc_set(X146)),X146) = c_Union(c_Zorn_OTFin(X147,X146),tc_set(X146)),
    inference(resolution,[status(thm)],[c19,symmetry]) ).

cnf(c88,plain,
    $false,
    inference(resolution,[status(thm)],[c45,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n020.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  : 300
% 0.15/0.36  % DateTime : Wed May  8 19:00:08 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.40/0.57  % Version:  1.5
% 0.40/0.57  % SZS status Unsatisfiable
% 0.40/0.57  % SZS output start CNFRefutation
% See solution above
% 0.40/0.57  
% 0.40/0.57  % Initial clauses    : 13
% 0.40/0.57  % Processed clauses  : 36
% 0.40/0.57  % Factors computed   : 13
% 0.40/0.57  % Resolvents computed: 71
% 0.40/0.57  % Tautologies deleted: 2
% 0.40/0.57  % Forward subsumed   : 18
% 0.40/0.57  % Backward subsumed  : 2
% 0.40/0.57  % -------- CPU Time ---------
% 0.40/0.57  % User time          : 0.192 s
% 0.40/0.57  % System time        : 0.016 s
% 0.40/0.57  % Total time         : 0.208 s
%------------------------------------------------------------------------------