%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN002-1.007.008 : 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 : n031.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 01:48:23 EDT 2023

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   4 unt;   2 typ;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  19   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   14 (   3 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

cnf(c_0_2,negated_conjecture,
    ( ~ p(X1)
    | ~ p(f(f(f(f(f(f(f(f(X1))))))))) ),
    negative ).

cnf(c_0_3,negated_conjecture,
    ( p(X1)
    | p(f(f(f(f(f(f(f(X1)))))))) ),
    positive ).

cnf(c_0_4,negated_conjecture,
    ( p(f(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_2,c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ p(f(f(f(f(f(f(f(X1))))))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_2,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ p(f(f(f(f(f(f(X1)))))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ p(f(f(f(f(f(X1))))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ p(f(f(f(f(X1)))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ p(f(f(f(X1))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ( p(X1)
    | ~ p(f(f(X1))) ),
    inference(spm,[status(thm)],[c_0_7,c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    ~ p(f(f(X1))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_4]),c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    ~ p(f(X1)),
    inference(spm,[status(thm)],[c_0_11,c_0_4]) ).

cnf(c_0_13,negated_conjecture,
    ~ p(X1),
    inference(spm,[status(thm)],[c_0_12,c_0_4]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_3,c_0_11]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN002-1.007.008 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 20:02:08 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 0.20/0.59  % Version  : CSE_E---1.5
% 0.20/0.59  % Problem  : theBenchmark.p
% 0.20/0.59  % Proof found
% 0.20/0.59  % SZS status Theorem for theBenchmark.p
% 0.20/0.59  % SZS output start Proof
% See solution above
% 0.20/0.59  % Total time : 0.004000 s
% 0.20/0.59  % SZS output end Proof
% 0.20/0.59  % Total time : 0.006000 s
%------------------------------------------------------------------------------