%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN327-1 : 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 : n002.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 01:51:08 EDT 2023

% Result   : Unsatisfiable 0.16s 0.56s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 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   :    6 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

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

cnf(clause1,negated_conjecture,
    ( f(X1,a)
    | f(a,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause6,negated_conjecture,
    ( ~ f(a,X1)
    | ~ f(X1,a)
    | ~ f(z(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

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

cnf(c_0_3,negated_conjecture,
    ( f(X1,a)
    | f(a,X1) ),
    clause1 ).

cnf(c_0_4,negated_conjecture,
    ( ~ f(a,X1)
    | ~ f(X1,a)
    | ~ f(z(X1),X1) ),
    clause6 ).

cnf(c_0_5,negated_conjecture,
    f(a,a),
    inference(ef,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ f(a,X1)
    | ~ f(a,z(X1)) ),
    clause5 ).

cnf(c_0_7,negated_conjecture,
    f(a,z(a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_3]),c_0_5])]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SYN327-1 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31  % Computer : n002.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sat Aug 26 21:24:48 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.54  start to proof: theBenchmark
% 0.16/0.56  % Version  : CSE_E---1.5
% 0.16/0.56  % Problem  : theBenchmark.p
% 0.16/0.56  % Proof found
% 0.16/0.56  % SZS status Theorem for theBenchmark.p
% 0.16/0.56  % SZS output start Proof
% See solution above
% 0.16/0.56  % Total time : 0.003000 s
% 0.16/0.56  % SZS output end Proof
% 0.16/0.56  % Total time : 0.005000 s
%------------------------------------------------------------------------------