%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n022.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 01:51:18 EDT 2023

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   52 (  22   ~;  30   |;   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  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    a: $i ).

tff(decl_25,type,
    b: $i ).

cnf(clause2,negated_conjecture,
    ( f(X2,y(X1,X2))
    | f(a,b)
    | ~ f(X1,y(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

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

cnf(clause1,negated_conjecture,
    ( f(X1,y(X1,X2))
    | f(a,b)
    | ~ f(X2,y(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause6,negated_conjecture,
    ( ~ f(a,y(X1,X2))
    | ~ f(b,y(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

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

cnf(clause4,negated_conjecture,
    ( f(X1,y(X1,X2))
    | f(X2,y(X1,X2))
    | ~ f(a,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

cnf(c_0_6,negated_conjecture,
    ( f(X2,y(X1,X2))
    | f(a,b)
    | ~ f(X1,y(X1,X2)) ),
    clause2 ).

cnf(c_0_7,negated_conjecture,
    ( f(a,y(X1,X2))
    | f(b,y(X1,X2)) ),
    clause5 ).

cnf(c_0_8,negated_conjecture,
    ( f(b,y(a,X1))
    | f(X1,y(a,X1))
    | f(a,b) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ( f(X1,y(X1,X2))
    | f(a,b)
    | ~ f(X2,y(X1,X2)) ),
    clause1 ).

cnf(c_0_10,negated_conjecture,
    ( f(b,y(a,b))
    | f(a,b) ),
    inference(ef,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ f(a,y(X1,X2))
    | ~ f(b,y(X1,X2)) ),
    clause6 ).

cnf(c_0_12,negated_conjecture,
    ( f(a,y(a,b))
    | f(a,b) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ f(X1,y(X1,X2))
    | ~ f(X2,y(X1,X2))
    | ~ f(a,b) ),
    clause3 ).

cnf(c_0_14,negated_conjecture,
    ( f(X1,y(X1,X2))
    | f(X2,y(X1,X2))
    | ~ f(a,b) ),
    clause4 ).

cnf(c_0_15,negated_conjecture,
    f(a,b),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ( f(b,y(X1,a))
    | ~ f(X1,y(X1,a))
    | ~ f(a,b) ),
    inference(spm,[status(thm)],[c_0_13,c_0_7]) ).

cnf(c_0_17,negated_conjecture,
    ( f(X1,y(X2,X1))
    | f(X2,y(X2,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

cnf(c_0_18,negated_conjecture,
    ( f(b,y(a,a))
    | ~ f(a,b) ),
    inference(spm,[status(thm)],[c_0_16,c_0_7]) ).

cnf(c_0_19,negated_conjecture,
    ( f(X1,y(a,X1))
    | ~ f(b,y(a,X1)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    f(b,y(a,a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_15])]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ f(X1,y(X2,X1))
    | ~ f(X2,y(X2,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_15])]) ).

cnf(c_0_22,negated_conjecture,
    f(a,y(a,a)),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 19:09:25 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.59  % Total time : 0.004000 s
% 0.21/0.59  % SZS output end Proof
% 0.21/0.59  % Total time : 0.006000 s
%------------------------------------------------------------------------------