%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n031.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 Aug 31 14:31:55 EDT 2023

% Result   : Unsatisfiable 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   20 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   4   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    member: ( $i * $i ) > $o ).

tff(decl_23,type,
    subset: ( $i * $i ) > $o ).

tff(decl_24,type,
    member_of_1_not_of_2: ( $i * $i ) > $i ).

tff(decl_25,type,
    equal_sets: ( $i * $i ) > $o ).

tff(decl_26,type,
    b: $i ).

tff(decl_27,type,
    bb: $i ).

tff(decl_28,type,
    element_of_b: $i ).

cnf(set_equal_sets_are_subsets1,axiom,
    ( subset(X1,X2)
    | ~ equal_sets(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',set_equal_sets_are_subsets1) ).

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

cnf(membership_in_subsets,axiom,
    ( member(X1,X3)
    | ~ member(X1,X2)
    | ~ subset(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).

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

cnf(c_0_5,axiom,
    ( subset(X1,X2)
    | ~ equal_sets(X1,X2) ),
    set_equal_sets_are_subsets1 ).

cnf(c_0_6,hypothesis,
    equal_sets(b,bb),
    b_equals_bb ).

cnf(c_0_7,axiom,
    ( member(X1,X3)
    | ~ member(X1,X2)
    | ~ subset(X2,X3) ),
    membership_in_subsets ).

cnf(c_0_8,hypothesis,
    subset(b,bb),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ~ member(element_of_b,bb),
    prove_element_of_bb ).

cnf(c_0_10,hypothesis,
    ( member(X1,bb)
    | ~ member(X1,b) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,hypothesis,
    member(element_of_b,b),
    element_of_b ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 15:28:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.58  % Version  : CSE_E---1.5
% 0.19/0.58  % Problem  : theBenchmark.p
% 0.19/0.58  % Proof found
% 0.19/0.58  % SZS status Theorem for theBenchmark.p
% 0.19/0.58  % SZS output start Proof
% See solution above
% 0.19/0.58  % Total time : 0.004000 s
% 0.19/0.58  % SZS output end Proof
% 0.19/0.58  % Total time : 0.006000 s
%------------------------------------------------------------------------------