%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN986+1.000 : TPTP v8.1.2. Released v4.0.0.
% 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 : Fri Sep  1 02:00:28 EDT 2023

% Result   : Theorem 0.18s 0.61s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   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 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    7 (   1 sgn;   3   !;   2   ?;   0   :)

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

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

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

fof(ck,conjecture,
    ? [X5] : r(zero,zero,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ck) ).

fof(hyp1,axiom,
    ! [X1] : r(X1,zero,succ(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax',hyp1) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X5] : r(zero,zero,X5),
    inference(assume_negation,[status(cth)],[ck]) ).

fof(c_0_3,negated_conjecture,
    ! [X11] : ~ r(zero,zero,X11),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_4,plain,
    ! [X6] : r(X6,zero,succ(X6)),
    inference(variable_rename,[status(thm)],[hyp1]) ).

cnf(c_0_5,negated_conjecture,
    ~ r(zero,zero,X1),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    r(X1,zero,succ(X1)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN986+1.000 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % 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   : Sat Aug 26 21:56:25 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.59  start to proof: theBenchmark
% 0.18/0.61  % Version  : CSE_E---1.5
% 0.18/0.61  % Problem  : theBenchmark.p
% 0.18/0.61  % Proof found
% 0.18/0.61  % SZS status Theorem for theBenchmark.p
% 0.18/0.61  % SZS output start Proof
% See solution above
% 0.18/0.61  % Total time : 0.003000 s
% 0.18/0.61  % SZS output end Proof
% 0.18/0.61  % Total time : 0.006000 s
%------------------------------------------------------------------------------