%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN315-1 : 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 : n014.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 01:51:03 EDT 2023

% Result   : Unsatisfiable 0.22s 0.59s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   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  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (  10 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

cnf(clause3,negated_conjecture,
    ( ~ f(y(X1))
    | ~ p(a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

cnf(clause2,negated_conjecture,
    ( f(X1)
    | ~ p(a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

cnf(clause4,negated_conjecture,
    ( p(a)
    | f(y(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

cnf(clause1,negated_conjecture,
    ( p(a)
    | ~ f(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(c_0_4,negated_conjecture,
    ( ~ f(y(X1))
    | ~ p(a) ),
    clause3 ).

cnf(c_0_5,negated_conjecture,
    ( f(X1)
    | ~ p(a) ),
    clause2 ).

cnf(c_0_6,negated_conjecture,
    ( p(a)
    | f(y(X1)) ),
    clause4 ).

cnf(c_0_7,negated_conjecture,
    ~ p(a),
    inference(csr,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( p(a)
    | ~ f(X1) ),
    clause1 ).

cnf(c_0_9,negated_conjecture,
    f(y(X1)),
    inference(sr,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ~ f(X1),
    inference(sr,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_9,c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN315-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 20:45:47 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.22/0.58  start to proof: theBenchmark
% 0.22/0.59  % Version  : CSE_E---1.5
% 0.22/0.59  % Problem  : theBenchmark.p
% 0.22/0.59  % Proof found
% 0.22/0.59  % SZS status Theorem for theBenchmark.p
% 0.22/0.59  % SZS output start Proof
% See solution above
% 0.22/0.59  % Total time : 0.003000 s
% 0.22/0.59  % SZS output end Proof
% 0.22/0.59  % Total time : 0.005000 s
%------------------------------------------------------------------------------