%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN331-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n025.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 01:51:10 EDT 2023

% Result   : Unsatisfiable 0.15s 0.56s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   5 unt;   2 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   4   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   17 (   4 sgn;   0   !;   0   ?;   0   :)

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

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

cnf(clause3,negated_conjecture,
    ( f(X1,X2)
    | ~ f(z(X1,X2),z(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

cnf(clause5,negated_conjecture,
    ( f(X1,X2)
    | f(z(X2,X1),z(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(clause7,negated_conjecture,
    ~ f(z(X1,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

cnf(c_0_3,negated_conjecture,
    ( f(X1,X2)
    | ~ f(z(X1,X2),z(X1,X2)) ),
    clause3 ).

cnf(c_0_4,negated_conjecture,
    ( f(X1,X2)
    | f(z(X2,X1),z(X2,X1)) ),
    clause5 ).

cnf(c_0_5,negated_conjecture,
    ( f(X1,X2)
    | f(X2,X1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    f(X1,X1),
    inference(ef,[status(thm)],[c_0_5]) ).

cnf(c_0_7,negated_conjecture,
    ~ f(z(X1,X2),X2),
    clause7 ).

cnf(c_0_8,negated_conjecture,
    f(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_6])]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN331-1 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32  % Computer : n025.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sat Aug 26 19:42:53 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.15/0.54  start to proof: theBenchmark
% 0.15/0.56  % Version  : CSE_E---1.5
% 0.15/0.56  % Problem  : theBenchmark.p
% 0.15/0.56  % Proof found
% 0.15/0.56  % SZS status Theorem for theBenchmark.p
% 0.15/0.56  % SZS output start Proof
% See solution above
% 0.15/0.56  % Total time : 0.002000 s
% 0.15/0.56  % SZS output end Proof
% 0.15/0.56  % Total time : 0.004000 s
%------------------------------------------------------------------------------