%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN354-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n011.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 01:51:21 EDT 2023

% Result   : Unsatisfiable 0.18s 0.58s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   35 (  17   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (   4 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

tff(decl_26,type,
    z: ( $i * $i ) > $i ).

cnf(clause3,negated_conjecture,
    ( g(b,z(X1,X2))
    | g(X2,z(X1,X2))
    | f(b,X2)
    | ~ f(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

cnf(clause1,negated_conjecture,
    f(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause7,negated_conjecture,
    ( ~ f(a,X1)
    | ~ f(b,X1)
    | ~ f(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

cnf(clause4,negated_conjecture,
    ( f(b,X2)
    | ~ g(b,z(X1,X2))
    | ~ g(X2,z(X1,X2))
    | ~ f(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

cnf(c_0_4,negated_conjecture,
    ( g(b,z(X1,X2))
    | g(X2,z(X1,X2))
    | f(b,X2)
    | ~ f(X1,X2) ),
    clause3 ).

cnf(c_0_5,negated_conjecture,
    f(a,b),
    clause1 ).

cnf(c_0_6,negated_conjecture,
    ( ~ f(a,X1)
    | ~ f(b,X1)
    | ~ f(X1,X2) ),
    clause7 ).

cnf(c_0_7,negated_conjecture,
    ( f(b,X2)
    | ~ g(b,z(X1,X2))
    | ~ g(X2,z(X1,X2))
    | ~ f(X1,X2) ),
    clause4 ).

cnf(c_0_8,negated_conjecture,
    ( g(b,z(a,b))
    | f(b,b) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ f(b,b)
    | ~ f(b,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    f(b,b),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_5])]),c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ~ f(b,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_10,c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYN354-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat Aug 26 17:10:54 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.57  start to proof: theBenchmark
% 0.18/0.58  % Version  : CSE_E---1.5
% 0.18/0.58  % Problem  : theBenchmark.p
% 0.18/0.58  % Proof found
% 0.18/0.58  % SZS status Theorem for theBenchmark.p
% 0.18/0.58  % SZS output start Proof
% See solution above
% 0.18/0.58  % Total time : 0.004000 s
% 0.18/0.58  % SZS output end Proof
% 0.18/0.58  % Total time : 0.005000 s
%------------------------------------------------------------------------------