%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN380+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/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 01:51:29 EDT 2023

% Result   : Theorem 0.21s 0.60s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   21 (   9   ~;   4   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   18 (   2 sgn;   7   !;   4   ?;   0   :)

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

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

tff(decl_24,type,
    esk1_2: ( $i * $i ) > $i ).

fof(x2132,conjecture,
    ( ! [X1] : ~ big_r(X1,X1)
   => ? [X2,X3] :
        ( ~ big_r(X2,X3)
        & ( big_q(X3,X2)
         => ! [X4] : big_q(X4,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2132) ).

fof(c_0_1,negated_conjecture,
    ~ ( ! [X1] : ~ big_r(X1,X1)
     => ? [X2,X3] :
          ( ~ big_r(X2,X3)
          & ( big_q(X3,X2)
           => ! [X4] : big_q(X4,X4) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[x2132])]) ).

fof(c_0_2,negated_conjecture,
    ! [X5,X6,X7] :
      ( ~ big_r(X5,X5)
      & ( big_q(X7,X6)
        | big_r(X6,X7) )
      & ( ~ big_q(esk1_2(X6,X7),esk1_2(X6,X7))
        | big_r(X6,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,
    ( big_r(X1,X2)
    | ~ big_q(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( big_q(X1,X2)
    | big_r(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ~ big_r(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    big_r(X1,X2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN380+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14  % Command    : java -jar /export/starexec/sandbox/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 21:17:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 0.21/0.60  % Version  : CSE_E---1.5
% 0.21/0.60  % Problem  : theBenchmark.p
% 0.21/0.60  % Proof found
% 0.21/0.60  % SZS status Theorem for theBenchmark.p
% 0.21/0.60  % SZS output start Proof
% See solution above
% 0.21/0.60  % Total time : 0.004000 s
% 0.21/0.60  % SZS output end Proof
% 0.21/0.60  % Total time : 0.006000 s
%------------------------------------------------------------------------------