%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN409+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n011.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 01:51:39 EDT 2023

% Result   : Theorem 0.21s 0.57s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   2 unt;   4 typ;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   20 (   7   ~;   7   |;   4   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (   3 sgn;   9   !;   0   ?;   0   :)

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

tff(decl_23,type,
    esk1_0: $i ).

tff(decl_24,type,
    esk2_0: $i ).

tff(decl_25,type,
    esk3_0: $i ).

fof(kalish246,conjecture,
    ( ! [X1] : f(X1)
  <=> ! [X2,X3] :
        ( f(X2)
        & f(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish246) ).

fof(c_0_1,negated_conjecture,
    ~ ( ! [X1] : f(X1)
    <=> ! [X2,X3] :
          ( f(X2)
          & f(X3) ) ),
    inference(assume_negation,[status(cth)],[kalish246]) ).

fof(c_0_2,negated_conjecture,
    ! [X7,X8,X9] :
      ( ( ~ f(esk1_0)
        | ~ f(esk2_0)
        | ~ f(esk3_0) )
      & ( f(X8)
        | f(X7) )
      & ( f(X9)
        | f(X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( f(X1)
    | f(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ f(esk1_0)
    | ~ f(esk2_0)
    | ~ f(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    f(X1),
    inference(ef,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_5]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN409+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n011.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 21:20:09 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.56  start to proof: theBenchmark
% 0.21/0.57  % Version  : CSE_E---1.5
% 0.21/0.57  % Problem  : theBenchmark.p
% 0.21/0.57  % Proof found
% 0.21/0.57  % SZS status Theorem for theBenchmark.p
% 0.21/0.57  % SZS output start Proof
% See solution above
% 0.21/0.57  % Total time : 0.002000 s
% 0.21/0.57  % SZS output end Proof
% 0.21/0.57  % Total time : 0.005000 s
%------------------------------------------------------------------------------