TSTP Solution File: PUZ008-3 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n005.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 : Tue Aug 22 10:53:50 EDT 2023

% Result   : Unsatisfiable 4.55s 2.17s
% Output   : CNFRefutation 4.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   89 (  45 unt;  11 typ;   0 def)
%            Number of atoms       :  169 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  205 ( 114   ~;  91   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (   8   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   78 (;  78   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ achievable > safe > greater_or_equal > west > east > #nlpp > s > m > c > n0 > boatonwest > boatoneast

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(safe,type,
    safe: ( $i * $i ) > $o ).

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

tff(west,type,
    west: ( $i * $i ) > $i ).

tff(s,type,
    s: $i > $i ).

tff(east,type,
    east: ( $i * $i ) > $i ).

tff(boatoneast,type,
    boatoneast: $i ).

tff(c,type,
    c: $i > $i ).

tff(n0,type,
    n0: $i ).

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

tff(m,type,
    m: $i > $i ).

tff(boatonwest,type,
    boatonwest: $i ).

tff(f_38,axiom,
    ! [X] : greater_or_equal(X,n0),
    file(unknown,unknown) ).

tff(f_43,axiom,
    ! [X,Y] :
      ( greater_or_equal(s(X),s(Y))
      | ~ greater_or_equal(X,Y) ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [X,Y] :
      ( ~ greater_or_equal(X,Y)
      | safe(X,Y) ),
    file(unknown,unknown) ).

tff(f_174,axiom,
    ! [X] : ~ achievable(west(m(n0),c(n0)),X,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ! [X] : safe(n0,X),
    file(unknown,unknown) ).

tff(f_170,axiom,
    achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0))),
    file(unknown,unknown) ).

tff(f_77,axiom,
    ! [X,Y,Z,W] :
      ( ~ achievable(west(m(X),c(s(s(Y)))),boatonwest,east(m(Z),c(W)))
      | ~ safe(X,Y)
      | ~ safe(Z,s(s(W)))
      | achievable(west(m(X),c(Y)),boatoneast,east(m(Z),c(s(s(W))))) ),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ! [X,Y,Z,W] :
      ( ~ achievable(west(m(X),c(s(Y))),boatonwest,east(m(Z),c(W)))
      | ~ safe(X,Y)
      | ~ safe(Z,s(W))
      | achievable(west(m(X),c(Y)),boatoneast,east(m(Z),c(s(W)))) ),
    file(unknown,unknown) ).

tff(f_66,axiom,
    ! [X,Y,Z,W] :
      ( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(Z),c(s(W))))
      | ~ safe(X,s(Y))
      | ~ safe(Z,W)
      | achievable(west(m(X),c(s(Y))),boatonwest,east(m(Z),c(W))) ),
    file(unknown,unknown) ).

tff(f_145,axiom,
    ! [X,Y,Z,W] :
      ( ~ achievable(west(m(s(X)),c(s(Y))),boatonwest,east(m(Z),c(W)))
      | ~ safe(X,Y)
      | ~ safe(s(Z),s(W))
      | achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(s(W)))) ),
    file(unknown,unknown) ).

tff(f_122,axiom,
    ! [X,Y,Z,W] :
      ( ~ achievable(west(m(s(s(X))),c(Y)),boatonwest,east(m(Z),c(W)))
      | ~ safe(X,Y)
      | ~ safe(s(s(Z)),W)
      | achievable(west(m(X),c(Y)),boatoneast,east(m(s(s(Z))),c(W))) ),
    file(unknown,unknown) ).

tff(f_156,axiom,
    ! [X,Y,Z,W] :
      ( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(s(W))))
      | ~ safe(s(X),s(Y))
      | ~ safe(Z,W)
      | achievable(west(m(s(X)),c(s(Y))),boatonwest,east(m(Z),c(W))) ),
    file(unknown,unknown) ).

tff(c_6,plain,
    ! [X_4] : greater_or_equal(X_4,n0),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_8,plain,
    ! [X_5,Y_6] :
      ( ~ greater_or_equal(X_5,Y_6)
      | greater_or_equal(s(X_5),s(Y_6)) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_4,plain,
    ! [X_2,Y_3] :
      ( safe(X_2,Y_3)
      | ~ greater_or_equal(X_2,Y_3) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_32,plain,
    ! [X_47] : ~ achievable(west(m(n0),c(n0)),X_47,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
    inference(cnfTransformation,[status(thm)],[f_174]) ).

tff(c_2,plain,
    ! [X_1] : safe(n0,X_1),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_30,plain,
    achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0))),
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_188,plain,
    ! [X_87,Y_88,Z_89,W_90] :
      ( achievable(west(m(X_87),c(Y_88)),boatoneast,east(m(Z_89),c(s(s(W_90)))))
      | ~ safe(Z_89,s(s(W_90)))
      | ~ safe(X_87,Y_88)
      | ~ achievable(west(m(X_87),c(s(s(Y_88)))),boatonwest,east(m(Z_89),c(W_90))) ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_203,plain,
    ( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))
    | ~ safe(n0,s(s(n0)))
    | ~ safe(s(s(s(n0))),s(n0)) ),
    inference(resolution,[status(thm)],[c_30,c_188]) ).

tff(c_209,plain,
    ( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))
    | ~ safe(s(s(s(n0))),s(n0)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_203]) ).

tff(c_210,plain,
    ~ safe(s(s(s(n0))),s(n0)),
    inference(splitLeft,[status(thm)],[c_209]) ).

tff(c_214,plain,
    ~ greater_or_equal(s(s(s(n0))),s(n0)),
    inference(resolution,[status(thm)],[c_4,c_210]) ).

tff(c_217,plain,
    ~ greater_or_equal(s(s(n0)),n0),
    inference(resolution,[status(thm)],[c_8,c_214]) ).

tff(c_221,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_217]) ).

tff(c_223,plain,
    safe(s(s(s(n0))),s(n0)),
    inference(splitRight,[status(thm)],[c_209]) ).

tff(c_50,plain,
    ! [X_63,Y_64,Z_65,W_66] :
      ( achievable(west(m(X_63),c(Y_64)),boatoneast,east(m(Z_65),c(s(W_66))))
      | ~ safe(Z_65,s(W_66))
      | ~ safe(X_63,Y_64)
      | ~ achievable(west(m(X_63),c(s(Y_64))),boatonwest,east(m(Z_65),c(W_66))) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_56,plain,
    ( achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatoneast,east(m(n0),c(s(n0))))
    | ~ safe(n0,s(n0))
    | ~ safe(s(s(s(n0))),s(s(n0))) ),
    inference(resolution,[status(thm)],[c_30,c_50]) ).

tff(c_60,plain,
    ( achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatoneast,east(m(n0),c(s(n0))))
    | ~ safe(s(s(s(n0))),s(s(n0))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_56]) ).

tff(c_73,plain,
    ~ safe(s(s(s(n0))),s(s(n0))),
    inference(splitLeft,[status(thm)],[c_60]) ).

tff(c_87,plain,
    ~ greater_or_equal(s(s(s(n0))),s(s(n0))),
    inference(resolution,[status(thm)],[c_4,c_73]) ).

tff(c_91,plain,
    ~ greater_or_equal(s(s(n0)),s(n0)),
    inference(resolution,[status(thm)],[c_8,c_87]) ).

tff(c_94,plain,
    ~ greater_or_equal(s(n0),n0),
    inference(resolution,[status(thm)],[c_8,c_91]) ).

tff(c_98,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_94]) ).

tff(c_100,plain,
    safe(s(s(s(n0))),s(s(n0))),
    inference(splitRight,[status(thm)],[c_60]) ).

tff(c_222,plain,
    achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0))))),
    inference(splitRight,[status(thm)],[c_209]) ).

tff(c_12,plain,
    ! [X_11,Y_12,Z_13,W_14] :
      ( achievable(west(m(X_11),c(s(Y_12))),boatonwest,east(m(Z_13),c(W_14)))
      | ~ safe(Z_13,W_14)
      | ~ safe(X_11,s(Y_12))
      | ~ achievable(west(m(X_11),c(Y_12)),boatoneast,east(m(Z_13),c(s(W_14)))) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_451,plain,
    ! [X_139,Y_140,Z_141,W_142] :
      ( achievable(west(m(X_139),c(Y_140)),boatoneast,east(m(Z_141),c(s(s(W_142)))))
      | ~ safe(Z_141,s(s(W_142)))
      | ~ safe(X_139,Y_140)
      | ~ safe(Z_141,W_142)
      | ~ safe(X_139,s(s(Y_140)))
      | ~ achievable(west(m(X_139),c(s(Y_140))),boatoneast,east(m(Z_141),c(s(W_142)))) ),
    inference(resolution,[status(thm)],[c_12,c_188]) ).

tff(c_473,plain,
    ( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
    | ~ safe(n0,s(s(s(n0))))
    | ~ safe(s(s(s(n0))),n0)
    | ~ safe(n0,s(n0))
    | ~ safe(s(s(s(n0))),s(s(n0))) ),
    inference(resolution,[status(thm)],[c_222,c_451]) ).

tff(c_487,plain,
    ( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
    | ~ safe(s(s(s(n0))),n0) ),
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_2,c_2,c_473]) ).

tff(c_492,plain,
    ~ safe(s(s(s(n0))),n0),
    inference(splitLeft,[status(thm)],[c_487]) ).

tff(c_495,plain,
    ~ greater_or_equal(s(s(s(n0))),n0),
    inference(resolution,[status(thm)],[c_4,c_492]) ).

tff(c_499,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_495]) ).

tff(c_501,plain,
    safe(s(s(s(n0))),n0),
    inference(splitRight,[status(thm)],[c_487]) ).

tff(c_111,plain,
    ! [X_75,Y_76,Z_77,W_78] :
      ( achievable(west(m(X_75),c(Y_76)),boatoneast,east(m(s(Z_77)),c(s(W_78))))
      | ~ safe(s(Z_77),s(W_78))
      | ~ safe(X_75,Y_76)
      | ~ achievable(west(m(s(X_75)),c(s(Y_76))),boatonwest,east(m(Z_77),c(W_78))) ),
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_125,plain,
    ( achievable(west(m(s(s(n0))),c(s(s(n0)))),boatoneast,east(m(s(n0)),c(s(n0))))
    | ~ safe(s(n0),s(n0))
    | ~ safe(s(s(n0)),s(s(n0))) ),
    inference(resolution,[status(thm)],[c_30,c_111]) ).

tff(c_126,plain,
    ~ safe(s(s(n0)),s(s(n0))),
    inference(splitLeft,[status(thm)],[c_125]) ).

tff(c_130,plain,
    ~ greater_or_equal(s(s(n0)),s(s(n0))),
    inference(resolution,[status(thm)],[c_4,c_126]) ).

tff(c_149,plain,
    ~ greater_or_equal(s(n0),s(n0)),
    inference(resolution,[status(thm)],[c_8,c_130]) ).

tff(c_152,plain,
    ~ greater_or_equal(n0,n0),
    inference(resolution,[status(thm)],[c_8,c_149]) ).

tff(c_156,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_152]) ).

tff(c_158,plain,
    safe(s(s(n0)),s(s(n0))),
    inference(splitRight,[status(thm)],[c_125]) ).

tff(c_157,plain,
    ( ~ safe(s(n0),s(n0))
    | achievable(west(m(s(s(n0))),c(s(s(n0)))),boatoneast,east(m(s(n0)),c(s(n0)))) ),
    inference(splitRight,[status(thm)],[c_125]) ).

tff(c_174,plain,
    ~ safe(s(n0),s(n0)),
    inference(splitLeft,[status(thm)],[c_157]) ).

tff(c_178,plain,
    ~ greater_or_equal(s(n0),s(n0)),
    inference(resolution,[status(thm)],[c_4,c_174]) ).

tff(c_181,plain,
    ~ greater_or_equal(n0,n0),
    inference(resolution,[status(thm)],[c_8,c_178]) ).

tff(c_185,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_181]) ).

tff(c_187,plain,
    safe(s(n0),s(n0)),
    inference(splitRight,[status(thm)],[c_157]) ).

tff(c_500,plain,
    achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0)))))),
    inference(splitRight,[status(thm)],[c_487]) ).

tff(c_261,plain,
    ! [X_99,Y_100,Z_101,W_102] :
      ( achievable(west(m(X_99),c(Y_100)),boatoneast,east(m(s(s(Z_101))),c(W_102)))
      | ~ safe(s(s(Z_101)),W_102)
      | ~ safe(X_99,Y_100)
      | ~ achievable(west(m(s(s(X_99))),c(Y_100)),boatonwest,east(m(Z_101),c(W_102))) ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_602,plain,
    ! [X_155,Y_156,Z_157,W_158] :
      ( achievable(west(m(X_155),c(s(Y_156))),boatoneast,east(m(s(s(Z_157))),c(W_158)))
      | ~ safe(s(s(Z_157)),W_158)
      | ~ safe(X_155,s(Y_156))
      | ~ safe(Z_157,W_158)
      | ~ safe(s(s(X_155)),s(Y_156))
      | ~ achievable(west(m(s(s(X_155))),c(Y_156)),boatoneast,east(m(Z_157),c(s(W_158)))) ),
    inference(resolution,[status(thm)],[c_12,c_261]) ).

tff(c_612,plain,
    ( achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0)))))
    | ~ safe(s(s(n0)),s(s(n0)))
    | ~ safe(s(n0),s(n0))
    | ~ safe(n0,s(s(n0)))
    | ~ safe(s(s(s(n0))),s(n0)) ),
    inference(resolution,[status(thm)],[c_500,c_602]) ).

tff(c_646,plain,
    achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0))))),
    inference(demodulation,[status(thm),theory(equality)],[c_223,c_2,c_187,c_158,c_612]) ).

tff(c_28,plain,
    ! [X_43,Y_44,Z_45,W_46] :
      ( achievable(west(m(s(X_43)),c(s(Y_44))),boatonwest,east(m(Z_45),c(W_46)))
      | ~ safe(Z_45,W_46)
      | ~ safe(s(X_43),s(Y_44))
      | ~ achievable(west(m(X_43),c(Y_44)),boatoneast,east(m(s(Z_45)),c(s(W_46)))) ),
    inference(cnfTransformation,[status(thm)],[f_156]) ).

tff(c_285,plain,
    ! [X_99,Y_44,Z_45,W_46] :
      ( achievable(west(m(X_99),c(s(Y_44))),boatoneast,east(m(s(s(Z_45))),c(W_46)))
      | ~ safe(s(s(Z_45)),W_46)
      | ~ safe(X_99,s(Y_44))
      | ~ safe(Z_45,W_46)
      | ~ safe(s(s(X_99)),s(Y_44))
      | ~ achievable(west(m(s(X_99)),c(Y_44)),boatoneast,east(m(s(Z_45)),c(s(W_46)))) ),
    inference(resolution,[status(thm)],[c_28,c_261]) ).

tff(c_663,plain,
    ( achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))
    | ~ safe(s(s(s(n0))),s(n0))
    | ~ safe(n0,s(s(n0)))
    | ~ safe(s(n0),s(n0))
    | ~ safe(s(s(n0)),s(s(n0))) ),
    inference(resolution,[status(thm)],[c_646,c_285]) ).

tff(c_681,plain,
    achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0)))),
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_187,c_2,c_223,c_663]) ).

tff(c_206,plain,
    ! [X_11,Y_88,Z_13,W_14] :
      ( achievable(west(m(X_11),c(Y_88)),boatoneast,east(m(Z_13),c(s(s(W_14)))))
      | ~ safe(Z_13,s(s(W_14)))
      | ~ safe(X_11,Y_88)
      | ~ safe(Z_13,W_14)
      | ~ safe(X_11,s(s(Y_88)))
      | ~ achievable(west(m(X_11),c(s(Y_88))),boatoneast,east(m(Z_13),c(s(W_14)))) ),
    inference(resolution,[status(thm)],[c_12,c_188]) ).

tff(c_730,plain,
    ( achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))
    | ~ safe(s(s(s(n0))),s(s(n0)))
    | ~ safe(n0,s(n0))
    | ~ safe(s(s(s(n0))),n0)
    | ~ safe(n0,s(s(s(n0)))) ),
    inference(resolution,[status(thm)],[c_681,c_206]) ).

tff(c_736,plain,
    achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0))))),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_501,c_2,c_100,c_730]) ).

tff(c_742,plain,
    ( achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))
    | ~ safe(s(s(s(n0))),s(s(s(n0))))
    | ~ safe(n0,n0)
    | ~ safe(s(s(s(n0))),s(n0))
    | ~ safe(n0,s(s(n0))) ),
    inference(resolution,[status(thm)],[c_736,c_206]) ).

tff(c_748,plain,
    ( achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))
    | ~ safe(s(s(s(n0))),s(s(s(n0)))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_223,c_2,c_742]) ).

tff(c_749,plain,
    ~ safe(s(s(s(n0))),s(s(s(n0)))),
    inference(negUnitSimplification,[status(thm)],[c_32,c_748]) ).

tff(c_757,plain,
    ~ greater_or_equal(s(s(s(n0))),s(s(s(n0)))),
    inference(resolution,[status(thm)],[c_4,c_749]) ).

tff(c_761,plain,
    ~ greater_or_equal(s(s(n0)),s(s(n0))),
    inference(resolution,[status(thm)],[c_8,c_757]) ).

tff(c_815,plain,
    ~ greater_or_equal(s(n0),s(n0)),
    inference(resolution,[status(thm)],[c_8,c_761]) ).

tff(c_818,plain,
    ~ greater_or_equal(n0,n0),
    inference(resolution,[status(thm)],[c_8,c_815]) ).

tff(c_822,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_818]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 17:35:12 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 4.55/2.17  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.55/2.18  
% 4.55/2.18  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.55/2.22  
% 4.55/2.22  Inference rules
% 4.55/2.22  ----------------------
% 4.55/2.22  #Ref     : 0
% 4.55/2.22  #Sup     : 150
% 4.55/2.22  #Fact    : 0
% 4.55/2.22  #Define  : 0
% 4.55/2.22  #Split   : 8
% 4.55/2.22  #Chain   : 0
% 4.55/2.22  #Close   : 0
% 4.55/2.22  
% 4.55/2.22  Ordering : KBO
% 4.55/2.22  
% 4.55/2.22  Simplification rules
% 4.55/2.22  ----------------------
% 4.55/2.22  #Subsume      : 38
% 4.55/2.22  #Demod        : 72
% 4.55/2.22  #Tautology    : 24
% 4.55/2.22  #SimpNegUnit  : 2
% 4.55/2.22  #BackRed      : 0
% 4.55/2.22  
% 4.55/2.22  #Partial instantiations: 0
% 4.55/2.22  #Strategies tried      : 1
% 4.55/2.22  
% 4.55/2.22  Timing (in seconds)
% 4.55/2.22  ----------------------
% 4.55/2.22  Preprocessing        : 0.52
% 4.55/2.22  Parsing              : 0.29
% 4.55/2.22  CNF conversion       : 0.03
% 4.55/2.22  Main loop            : 0.60
% 4.55/2.22  Inferencing          : 0.22
% 4.55/2.22  Reduction            : 0.17
% 4.55/2.22  Demodulation         : 0.12
% 4.55/2.22  BG Simplification    : 0.03
% 4.55/2.22  Subsumption          : 0.16
% 4.55/2.22  Abstraction          : 0.02
% 4.55/2.22  MUC search           : 0.00
% 4.55/2.22  Cooper               : 0.00
% 4.55/2.22  Total                : 1.18
% 4.55/2.22  Index Insertion      : 0.00
% 4.55/2.22  Index Deletion       : 0.00
% 4.55/2.22  Index Matching       : 0.00
% 4.55/2.22  BG Taut test         : 0.00
%------------------------------------------------------------------------------