%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN049-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n013.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 01:49:18 EDT 2023

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :    7 (   5 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

cnf(clause_1,negated_conjecture,
    ( big_q(g(X1))
    | ~ big_p(f(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_2,negated_conjecture,
    big_p(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_3,negated_conjecture,
    ~ big_q(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(c_0_3,negated_conjecture,
    ( big_q(g(X1))
    | ~ big_p(f(X1)) ),
    clause_1 ).

cnf(c_0_4,negated_conjecture,
    big_p(X1),
    clause_2 ).

cnf(c_0_5,negated_conjecture,
    big_q(g(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]) ).

cnf(c_0_6,negated_conjecture,
    ~ big_q(X1),
    clause_3 ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_5,c_0_6]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN049-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36  % Computer : n013.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 19:39:02 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.57  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 : 0.003000 s
% 0.21/0.59  % SZS output end Proof
% 0.21/0.59  % Total time : 0.005000 s
%------------------------------------------------------------------------------