%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN721-1 : 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 : n032.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 01:53:56 EDT 2023

% Result   : Unsatisfiable 0.15s 0.48s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (   7 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

cnf(lx1_2,negated_conjecture,
    ( q(X1,X1)
    | ~ r(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_2) ).

cnf(lx1_1,negated_conjecture,
    r(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_1) ).

cnf(lx1_4,negated_conjecture,
    ( ~ q(X1,a)
    | ~ r(b,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_4) ).

cnf(lx1_3,negated_conjecture,
    ( r(X1,X2)
    | ~ q(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_3) ).

cnf(c_0_4,negated_conjecture,
    ( q(X1,X1)
    | ~ r(X1,X2) ),
    lx1_2 ).

cnf(c_0_5,negated_conjecture,
    r(a,b),
    lx1_1 ).

cnf(c_0_6,negated_conjecture,
    ( ~ q(X1,a)
    | ~ r(b,X1) ),
    lx1_4 ).

cnf(c_0_7,negated_conjecture,
    q(a,a),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( r(X1,X2)
    | ~ q(X3,X2) ),
    lx1_3 ).

cnf(c_0_9,negated_conjecture,
    ~ r(b,a),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    r(X1,a),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN721-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sat Aug 26 17:52:29 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.47  start to proof: theBenchmark
% 0.15/0.48  % Version  : CSE_E---1.5
% 0.15/0.48  % Problem  : theBenchmark.p
% 0.15/0.48  % Proof found
% 0.15/0.48  % SZS status Theorem for theBenchmark.p
% 0.15/0.48  % SZS output start Proof
% See solution above
% 0.15/0.48  % Total time : 0.002000 s
% 0.15/0.48  % SZS output end Proof
% 0.15/0.48  % Total time : 0.004000 s
%------------------------------------------------------------------------------