%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n002.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 0.39s 0.57s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_element_of_bb,negated_conjecture,
    ~ member(element_of_b,bb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_element_of_bb) ).

cnf(element_of_b,plain,
    member(element_of_b,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_b) ).

cnf(b_equals_bb,plain,
    equal_sets(b,bb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_equals_bb) ).

cnf(set_equal_sets_are_subsets1,axiom,
    ( ~ equal_sets(X3,X2)
    | subset(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',set_equal_sets_are_subsets1) ).

cnf(c0,plain,
    subset(b,bb),
    inference(resolution,[status(thm)],[set_equal_sets_are_subsets1,b_equals_bb]) ).

cnf(membership_in_subsets,axiom,
    ( ~ member(X5,X6)
    | ~ subset(X6,X4)
    | member(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).

cnf(c1,plain,
    ( ~ member(X9,b)
    | member(X9,bb) ),
    inference(resolution,[status(thm)],[membership_in_subsets,c0]) ).

cnf(c4,plain,
    member(element_of_b,bb),
    inference(resolution,[status(thm)],[c1,element_of_b]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n002.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 19:25:53 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.39/0.57  % Version:  1.5
% 0.39/0.57  % SZS status Unsatisfiable
% 0.39/0.57  % SZS output start CNFRefutation
% See solution above
% 0.39/0.57  
% 0.39/0.57  % Initial clauses    : 9
% 0.39/0.57  % Processed clauses  : 10
% 0.39/0.57  % Factors computed   : 0
% 0.39/0.57  % Resolvents computed: 6
% 0.39/0.57  % Tautologies deleted: 0
% 0.39/0.57  % Forward subsumed   : 0
% 0.39/0.57  % Backward subsumed  : 0
% 0.39/0.57  % -------- CPU Time ---------
% 0.39/0.57  % User time          : 0.183 s
% 0.39/0.57  % System time        : 0.016 s
% 0.39/0.57  % Total time         : 0.199 s
%------------------------------------------------------------------------------