%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CAT007-3 : 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 : n005.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 18:14:06 EDT 2023

% Result   : Unsatisfiable 0.16s 0.55s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   17 (   7 unt;   8 typ;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   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  :    9 (   6   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    domain: $i > $i ).

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

tff(decl_25,type,
    codomain: $i > $i ).

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

tff(decl_27,type,
    f1: ( $i * $i ) > $i ).

tff(decl_28,type,
    c2: $i ).

tff(decl_29,type,
    c1: $i ).

cnf(domain_codomain_composition2,axiom,
    ( there_exists(compose(X1,X2))
    | ~ there_exists(domain(X1))
    | ~ equalish(domain(X1),codomain(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition2) ).

cnf(domain_of_c2_equals_codomain_of_c1,hypothesis,
    equalish(domain(c2),codomain(c1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_equals_codomain_of_c1) ).

cnf(domain_of_c2_exists,hypothesis,
    there_exists(domain(c2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_exists) ).

cnf(prove_c1_c2_is_defined,negated_conjecture,
    ~ there_exists(compose(c2,c1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c1_c2_is_defined) ).

cnf(c_0_4,axiom,
    ( there_exists(compose(X1,X2))
    | ~ there_exists(domain(X1))
    | ~ equalish(domain(X1),codomain(X2)) ),
    domain_codomain_composition2 ).

cnf(c_0_5,hypothesis,
    equalish(domain(c2),codomain(c1)),
    domain_of_c2_equals_codomain_of_c1 ).

cnf(c_0_6,hypothesis,
    there_exists(domain(c2)),
    domain_of_c2_exists ).

cnf(c_0_7,negated_conjecture,
    ~ there_exists(compose(c2,c1)),
    prove_c1_c2_is_defined ).

cnf(c_0_8,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6])]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : CAT007-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32  % Computer : n005.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   : Sun Aug 27 00:06:23 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.16/0.54  start to proof: theBenchmark
% 0.16/0.55  % Version  : CSE_E---1.5
% 0.16/0.55  % Problem  : theBenchmark.p
% 0.16/0.55  % Proof found
% 0.16/0.55  % SZS status Theorem for theBenchmark.p
% 0.16/0.55  % SZS output start Proof
% See solution above
% 0.16/0.55  % Total time : 0.003000 s
% 0.16/0.55  % SZS output end Proof
% 0.16/0.55  % Total time : 0.005000 s
%------------------------------------------------------------------------------