%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET002-1 : TPTP v8.1.2. Released v1.0.0.
% 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  : 300s
% DateTime : Thu May  9 17:38:47 EDT 2024

% Result   : Unsatisfiable 0.46s 0.65s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (   6 unt;   4 nHn;  13 RR)
%            Number of literals    :   30 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_a_equals_aUa,negated_conjecture,
    ~ equal_sets(aUa,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_aUa) ).

cnf(subsets_are_set_equal_sets,axiom,
    ( ~ subset(X17,X16)
    | ~ subset(X16,X17)
    | equal_sets(X16,X17) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_are_set_equal_sets) ).

cnf(subsets_axiom2,axiom,
    ( ~ member(member_of_1_not_of_2(X12,X11),X11)
    | subset(X12,X11) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).

cnf(subsets_axiom1,axiom,
    ( subset(X7,X6)
    | member(member_of_1_not_of_2(X7,X6),X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).

cnf(a_union_a_is_aUa,plain,
    union(a,a,aUa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_a_is_aUa) ).

cnf(member_of_union_is_member_of_one_set,axiom,
    ( ~ union(X21,X20,X22)
    | ~ member(X19,X22)
    | member(X19,X21)
    | member(X19,X20) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_union_is_member_of_one_set) ).

cnf(c8,plain,
    ( ~ member(X27,aUa)
    | member(X27,a) ),
    inference(resolution,[status(thm)],[member_of_union_is_member_of_one_set,a_union_a_is_aUa]) ).

cnf(c11,plain,
    ( member(member_of_1_not_of_2(aUa,X39),a)
    | subset(aUa,X39) ),
    inference(resolution,[status(thm)],[c8,subsets_axiom1]) ).

cnf(c15,plain,
    subset(aUa,a),
    inference(resolution,[status(thm)],[c11,subsets_axiom2]) ).

cnf(c32,plain,
    ( ~ subset(a,aUa)
    | equal_sets(aUa,a) ),
    inference(resolution,[status(thm)],[c15,subsets_are_set_equal_sets]) ).

cnf(member_of_set1_is_member_of_union,axiom,
    ( ~ union(X30,X29,X31)
    | ~ member(X28,X30)
    | member(X28,X31) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).

cnf(c12,plain,
    ( ~ member(X32,a)
    | member(X32,aUa) ),
    inference(resolution,[status(thm)],[member_of_set1_is_member_of_union,a_union_a_is_aUa]) ).

cnf(c13,plain,
    ( member(member_of_1_not_of_2(a,X44),aUa)
    | subset(a,X44) ),
    inference(resolution,[status(thm)],[c12,subsets_axiom1]) ).

cnf(c35,plain,
    subset(a,aUa),
    inference(resolution,[status(thm)],[c13,subsets_axiom2]) ).

cnf(c40,plain,
    equal_sets(aUa,a),
    inference(resolution,[status(thm)],[c35,c32]) ).

cnf(c47,plain,
    $false,
    inference(resolution,[status(thm)],[c40,prove_a_equals_aUa]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n004.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 19:41:08 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.46/0.65  % Version:  1.5
% 0.46/0.65  % SZS status Unsatisfiable
% 0.46/0.65  % SZS output start CNFRefutation
% See solution above
% 0.46/0.65  
% 0.46/0.65  % Initial clauses    : 14
% 0.46/0.65  % Processed clauses  : 24
% 0.46/0.65  % Factors computed   : 5
% 0.46/0.65  % Resolvents computed: 44
% 0.46/0.65  % Tautologies deleted: 1
% 0.46/0.65  % Forward subsumed   : 6
% 0.46/0.65  % Backward subsumed  : 2
% 0.46/0.65  % -------- CPU Time ---------
% 0.46/0.65  % User time          : 0.280 s
% 0.46/0.65  % System time        : 0.015 s
% 0.46/0.65  % Total time         : 0.295 s
%------------------------------------------------------------------------------