%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SET786-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n024.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 14:35:32 EDT 2023

% Result   : Unsatisfiable 0.54s 0.63s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   2 unt;   3 typ;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   21 (  10   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    sk1: $i ).

tff(decl_24,type,
    sk2: $i > $i ).

cnf(thm25_1,negated_conjecture,
    ( ~ element(X1,X2)
    | ~ element(X2,X1)
    | ~ element(X2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm25_1) ).

cnf(thm25_3,negated_conjecture,
    ( element(X1,sk1)
    | element(sk2(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm25_3) ).

cnf(thm25_2,negated_conjecture,
    ( element(X1,sk1)
    | element(X1,sk2(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm25_2) ).

cnf(c_0_3,negated_conjecture,
    ( ~ element(X1,X2)
    | ~ element(X2,X1)
    | ~ element(X2,sk1) ),
    thm25_1 ).

cnf(c_0_4,negated_conjecture,
    ( element(X1,sk1)
    | element(sk2(X1),X1) ),
    thm25_3 ).

cnf(c_0_5,negated_conjecture,
    ( element(sk1,sk1)
    | ~ element(sk2(sk1),X1)
    | ~ element(X1,sk2(sk1)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    ( element(X1,sk1)
    | element(X1,sk2(X1)) ),
    thm25_2 ).

cnf(c_0_7,negated_conjecture,
    element(sk1,sk1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_4]),c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ element(sk1,X1)
    | ~ element(X1,sk1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET786-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n024.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   : Sat Aug 26 09:51:09 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.54/0.61  start to proof: theBenchmark
% 0.54/0.63  % Version  : CSE_E---1.5
% 0.54/0.63  % Problem  : theBenchmark.p
% 0.54/0.63  % Proof found
% 0.54/0.63  % SZS status Theorem for theBenchmark.p
% 0.54/0.63  % SZS output start Proof
% See solution above
% 0.54/0.63  % Total time : 0.003000 s
% 0.54/0.63  % SZS output end Proof
% 0.54/0.63  % Total time : 0.006000 s
%------------------------------------------------------------------------------