%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : TOP004-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n019.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 : Fri Sep  1 05:53:40 EDT 2023

% Result   : Unsatisfiable 0.21s 0.67s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   18 (   5 unt;  13 typ;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  11   >;  13   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-5 aty)
%            Number of variables   :    6 (   6 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    union_of_members: $i > $i ).

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

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

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

tff(decl_26,type,
    equal_sets: ( $i * $i ) > $o ).

tff(decl_27,type,
    intersection_of_sets: ( $i * $i ) > $i ).

tff(decl_28,type,
    f6: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_29,type,
    subset_sets: ( $i * $i ) > $o ).

tff(decl_30,type,
    top_of_basis: $i > $i ).

tff(decl_31,type,
    f10: ( $i * $i * $i ) > $i ).

tff(decl_32,type,
    f11: ( $i * $i ) > $i ).

tff(decl_33,type,
    cx: $i ).

tff(decl_34,type,
    f: $i ).

cnf(lemma_1d_4,negated_conjecture,
    ~ element_of_collection(intersection_of_sets(X1,X2),top_of_basis(f)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1d_4) ).

cnf(lemma_1d_2,negated_conjecture,
    element_of_collection(X1,top_of_basis(f)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1d_2) ).

cnf(c_0_2,negated_conjecture,
    ~ element_of_collection(intersection_of_sets(X1,X2),top_of_basis(f)),
    lemma_1d_4 ).

cnf(c_0_3,negated_conjecture,
    element_of_collection(X1,top_of_basis(f)),
    lemma_1d_2 ).

cnf(c_0_4,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2,c_0_3])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.17  % Problem    : TOP004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.18  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.38  % Computer : n019.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sat Aug 26 23:33:43 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 0.21/0.66  start to proof: theBenchmark
% 0.21/0.67  % Version  : CSE_E---1.5
% 0.21/0.67  % Problem  : theBenchmark.p
% 0.21/0.67  % Proof found
% 0.21/0.67  % SZS status Theorem for theBenchmark.p
% 0.21/0.67  % SZS output start Proof
% See solution above
% 0.21/0.67  % Total time : 0.003000 s
% 0.21/0.67  % SZS output end Proof
% 0.21/0.67  % Total time : 0.006000 s
%------------------------------------------------------------------------------