%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : COL054-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n029.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 : Wed Aug 30 18:22:18 EDT 2023

% Result   : Unsatisfiable 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   9 unt;   5 typ;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   7   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

tff(decl_26,type,
    b: $i ).

cnf(prove_birds_are_compatible,negated_conjecture,
    ( response(a,X1) != X2
    | response(b,X2) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_birds_are_compatible) ).

cnf(composer_exists,hypothesis,
    response(compose(X1,X2),X3) = response(X1,response(X2,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',composer_exists) ).

cnf(mocking_bird_exists,axiom,
    response(mocking_bird,X1) = response(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mocking_bird_exists) ).

cnf(c_0_3,negated_conjecture,
    ( response(a,X1) != X2
    | response(b,X2) != X1 ),
    prove_birds_are_compatible ).

cnf(c_0_4,hypothesis,
    response(compose(X1,X2),X3) = response(X1,response(X2,X3)),
    composer_exists ).

cnf(c_0_5,axiom,
    response(mocking_bird,X1) = response(X1,X1),
    mocking_bird_exists ).

cnf(c_0_6,negated_conjecture,
    response(b,response(a,X1)) != X1,
    inference(er,[status(thm)],[c_0_3]) ).

cnf(c_0_7,hypothesis,
    response(X1,response(X2,compose(X1,X2))) = response(mocking_bird,compose(X1,X2)),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    response(b,response(mocking_bird,compose(a,X1))) != response(X1,compose(a,X1)),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,hypothesis,
    response(b,response(mocking_bird,compose(a,compose(X1,X2)))) != response(X1,response(X2,compose(a,compose(X1,X2)))),
    inference(spm,[status(thm)],[c_0_8,c_0_4]) ).

cnf(c_0_10,hypothesis,
    $false,
    inference(er,[status(thm)],[c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COL054-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n029.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   : Sun Aug 27 05:05:55 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 0.19/0.58  % Version  : CSE_E---1.5
% 0.19/0.58  % Problem  : theBenchmark.p
% 0.19/0.58  % Proof found
% 0.19/0.58  % SZS status Theorem for theBenchmark.p
% 0.19/0.58  % SZS output start Proof
% See solution above
% 0.19/0.58  % Total time : 0.004000 s
% 0.19/0.58  % SZS output end Proof
% 0.19/0.58  % Total time : 0.006000 s
%------------------------------------------------------------------------------