%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET864-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 17:40:16 EDT 2024

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   7 unt;   0 nHn;  13 RR)
%            Number of literals    :   22 (   6 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_5,negated_conjecture,
    ( X22 != v_x(X22)
    | ~ c_in(X22,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c12,plain,
    c_Union(v_c,t_a) != v_x(c_Union(v_c,t_a)),
    inference(resolution,[status(thm)],[cls_conjecture_5,cls_conjecture_2]) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( c_in(v_x(X29),v_S,tc_set(t_a))
    | ~ c_in(X29,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c16,plain,
    c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)),
    inference(resolution,[status(thm)],[cls_conjecture_3,cls_conjecture_2]) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_lessequals(X40,v_x(X40),tc_set(t_a))
    | ~ c_in(X40,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c22,plain,
    c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a)),
    inference(resolution,[status(thm)],[cls_conjecture_4,cls_conjecture_2]) ).

cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
    ( ~ c_in(X13,X12,tc_set(X10))
    | ~ c_in(X11,c_Zorn_Omaxchain(X12,X10),tc_set(tc_set(X10)))
    | ~ c_lessequals(c_Union(X11,X10),X13,tc_set(X10))
    | c_Union(X11,X10) = X13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c11,plain,
    ( ~ c_in(X61,v_S,tc_set(t_a))
    | ~ c_lessequals(c_Union(v_c,t_a),X61,tc_set(t_a))
    | c_Union(v_c,t_a) = X61 ),
    inference(resolution,[status(thm)],[cls_conjecture_0,cls_Zorn_Omaxchain__Zorn_0]) ).

cnf(c42,plain,
    ( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
    inference(resolution,[status(thm)],[c11,c22]) ).

cnf(c80,plain,
    c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)),
    inference(resolution,[status(thm)],[c42,c16]) ).

cnf(c92,plain,
    $false,
    inference(resolution,[status(thm)],[c80,c12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET864-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed May  8 19:25:08 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.57  % Version:  1.5
% 0.20/0.57  % SZS status Unsatisfiable
% 0.20/0.57  % SZS output start CNFRefutation
% See solution above
% 0.20/0.57  
% 0.20/0.57  % Initial clauses    : 15
% 0.20/0.57  % Processed clauses  : 58
% 0.20/0.57  % Factors computed   : 3
% 0.20/0.57  % Resolvents computed: 86
% 0.20/0.57  % Tautologies deleted: 2
% 0.20/0.57  % Forward subsumed   : 13
% 0.20/0.57  % Backward subsumed  : 1
% 0.20/0.57  % -------- CPU Time ---------
% 0.20/0.57  % User time          : 0.212 s
% 0.20/0.57  % System time        : 0.009 s
% 0.20/0.57  % Total time         : 0.222 s
%------------------------------------------------------------------------------