TSTP Solution File: PUZ031+3 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n007.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 10:54:04 EDT 2023

% Result   : Theorem 4.70s 2.22s
% Output   : CNFRefutation 4.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  109 (  32 unt;  22 typ;   0 def)
%            Number of atoms       :  255 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  320 ( 152   ~; 139   |;  13   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  13   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-1 aty)
%            Number of variables   :  125 (; 114   !;  11   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ much_smaller > eats > wolf > snail > plant > grain > fox > edible > caterpillar > bird > animal > #nlpp > #skF_7 > #skF_5 > #skF_10 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_9 > #skF_8 > #skF_4 > #skF_11

%Foreground sorts:

%Background operators:

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

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

tff(edible,type,
    edible: $i > $o ).

tff(plant,type,
    plant: $i > $o ).

tff('#skF_7',type,
    '#skF_7': $i ).

tff(animal,type,
    animal: $i > $o ).

tff(snail,type,
    snail: $i > $o ).

tff('#skF_5',type,
    '#skF_5': $i ).

tff('#skF_10',type,
    '#skF_10': $i > $i ).

tff('#skF_6',type,
    '#skF_6': $i ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff(bird,type,
    bird: $i > $o ).

tff('#skF_3',type,
    '#skF_3': $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff(caterpillar,type,
    caterpillar: $i > $o ).

tff('#skF_9',type,
    '#skF_9': $i ).

tff(wolf,type,
    wolf: $i > $o ).

tff('#skF_8',type,
    '#skF_8': $i ).

tff('#skF_4',type,
    '#skF_4': $i ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

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

tff(fox,type,
    fox: $i > $o ).

tff(f_83,axiom,
    ! [A] :
      ( grain(A)
     => plant(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_plant) ).

tff(f_43,axiom,
    ? [A] : wolf(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).

tff(f_47,axiom,
    ! [A] :
      ( wolf(A)
     => animal(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_animal) ).

tff(f_49,axiom,
    ? [A] : fox(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).

tff(f_53,axiom,
    ! [A] :
      ( fox(A)
     => animal(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_animal) ).

tff(f_126,axiom,
    ! [X,Y] :
      ( ( fox(X)
        & wolf(Y) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).

tff(f_55,axiom,
    ? [A] : bird(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).

tff(f_59,axiom,
    ! [A] :
      ( bird(A)
     => animal(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_animal) ).

tff(f_67,axiom,
    ? [A] : snail(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).

tff(f_71,axiom,
    ! [A] :
      ( snail(A)
     => animal(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_animal) ).

tff(f_108,axiom,
    ! [Y,X] :
      ( ( bird(Y)
        & snail(X) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).

tff(f_167,axiom,
    ! [X] :
      ( snail(X)
     => ? [Y] :
          ( plant(Y)
          & eats(X,Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).

tff(f_102,axiom,
    ! [X] :
      ( animal(X)
     => ( ! [Y] :
            ( plant(Y)
           => eats(X,Y) )
        | ! [Y1] :
            ( animal(Y1)
           => ( ( much_smaller(Y1,X)
                & ? [Z] :
                    ( plant(Z)
                    & eats(Y1,Z) ) )
             => eats(X,Y1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).

tff(f_153,axiom,
    ! [X,Y] :
      ( ( bird(X)
        & snail(Y) )
     => ~ eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).

tff(f_120,axiom,
    ! [X,Y] :
      ( ( bird(X)
        & fox(Y) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).

tff(f_73,axiom,
    ? [A] : plant(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plant_type) ).

tff(f_178,negated_conjecture,
    ~ ? [X,Y,Z] :
        ( animal(X)
        & animal(Y)
        & grain(Z)
        & eats(Y,Z)
        & eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).

tff(f_79,axiom,
    ? [A] : grain(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).

tff(f_133,axiom,
    ! [X,Y] :
      ( ( wolf(X)
        & fox(Y) )
     => ~ eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).

tff(f_140,axiom,
    ! [X,Y] :
      ( ( wolf(X)
        & grain(Y) )
     => ~ eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).

tff(c_34,plain,
    ! [A_8] :
      ( plant(A_8)
      | ~ grain(A_8) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_8,plain,
    wolf('#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_69,plain,
    ! [A_45] :
      ( animal(A_45)
      | ~ wolf(A_45) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_73,plain,
    animal('#skF_3'),
    inference(resolution,[status(thm)],[c_8,c_69]) ).

tff(c_12,plain,
    fox('#skF_4'),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_64,plain,
    ! [A_44] :
      ( animal(A_44)
      | ~ fox(A_44) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_68,plain,
    animal('#skF_4'),
    inference(resolution,[status(thm)],[c_12,c_64]) ).

tff(c_44,plain,
    ! [X_24,Y_25] :
      ( much_smaller(X_24,Y_25)
      | ~ wolf(Y_25)
      | ~ fox(X_24) ),
    inference(cnfTransformation,[status(thm)],[f_126]) ).

tff(c_16,plain,
    bird('#skF_5'),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_74,plain,
    ! [A_46] :
      ( animal(A_46)
      | ~ bird(A_46) ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_78,plain,
    animal('#skF_5'),
    inference(resolution,[status(thm)],[c_16,c_74]) ).

tff(c_24,plain,
    snail('#skF_7'),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_80,plain,
    ! [A_48] :
      ( animal(A_48)
      | ~ snail(A_48) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_84,plain,
    animal('#skF_7'),
    inference(resolution,[status(thm)],[c_24,c_80]) ).

tff(c_38,plain,
    ! [X_19,Y_18] :
      ( much_smaller(X_19,Y_18)
      | ~ snail(X_19)
      | ~ bird(Y_18) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_60,plain,
    ! [X_36] :
      ( plant('#skF_11'(X_36))
      | ~ snail(X_36) ),
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_58,plain,
    ! [X_36] :
      ( eats(X_36,'#skF_11'(X_36))
      | ~ snail(X_36) ),
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_197,plain,
    ! [X_78,Y1_79,Z_80,Y_81] :
      ( eats(X_78,Y1_79)
      | ~ eats(Y1_79,Z_80)
      | ~ plant(Z_80)
      | ~ much_smaller(Y1_79,X_78)
      | ~ animal(Y1_79)
      | eats(X_78,Y_81)
      | ~ plant(Y_81)
      | ~ animal(X_78) ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_373,plain,
    ! [X_109,X_110,Y_111] :
      ( eats(X_109,X_110)
      | ~ plant('#skF_11'(X_110))
      | ~ much_smaller(X_110,X_109)
      | ~ animal(X_110)
      | eats(X_109,Y_111)
      | ~ plant(Y_111)
      | ~ animal(X_109)
      | ~ snail(X_110) ),
    inference(resolution,[status(thm)],[c_58,c_197]) ).

tff(c_487,plain,
    ! [X_123,X_124,Y_125] :
      ( eats(X_123,X_124)
      | ~ much_smaller(X_124,X_123)
      | ~ animal(X_124)
      | eats(X_123,Y_125)
      | ~ plant(Y_125)
      | ~ animal(X_123)
      | ~ snail(X_124) ),
    inference(resolution,[status(thm)],[c_60,c_373]) ).

tff(c_522,plain,
    ! [Y_127,X_128,Y_129] :
      ( eats(Y_127,X_128)
      | ~ animal(X_128)
      | eats(Y_127,Y_129)
      | ~ plant(Y_129)
      | ~ animal(Y_127)
      | ~ snail(X_128)
      | ~ bird(Y_127) ),
    inference(resolution,[status(thm)],[c_38,c_487]) ).

tff(c_52,plain,
    ! [X_32,Y_33] :
      ( ~ eats(X_32,Y_33)
      | ~ snail(Y_33)
      | ~ bird(X_32) ),
    inference(cnfTransformation,[status(thm)],[f_153]) ).

tff(c_582,plain,
    ! [X_128,Y_127,Y_129] :
      ( ~ animal(X_128)
      | eats(Y_127,Y_129)
      | ~ plant(Y_129)
      | ~ animal(Y_127)
      | ~ snail(X_128)
      | ~ bird(Y_127) ),
    inference(resolution,[status(thm)],[c_522,c_52]) ).

tff(c_772,plain,
    ! [X_140] :
      ( ~ animal(X_140)
      | ~ snail(X_140) ),
    inference(splitLeft,[status(thm)],[c_582]) ).

tff(c_775,plain,
    ~ animal('#skF_7'),
    inference(resolution,[status(thm)],[c_24,c_772]) ).

tff(c_779,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_84,c_775]) ).

tff(c_780,plain,
    ! [Y_127,Y_129] :
      ( eats(Y_127,Y_129)
      | ~ plant(Y_129)
      | ~ animal(Y_127)
      | ~ bird(Y_127) ),
    inference(splitRight,[status(thm)],[c_582]) ).

tff(c_42,plain,
    ! [X_22,Y_23] :
      ( much_smaller(X_22,Y_23)
      | ~ fox(Y_23)
      | ~ bird(X_22) ),
    inference(cnfTransformation,[status(thm)],[f_120]) ).

tff(c_781,plain,
    ! [Y_141,Y_142] :
      ( eats(Y_141,Y_142)
      | ~ plant(Y_142)
      | ~ animal(Y_141)
      | ~ bird(Y_141) ),
    inference(splitRight,[status(thm)],[c_582]) ).

tff(c_36,plain,
    ! [X_9,Y1_15,Z_17,Y_14] :
      ( eats(X_9,Y1_15)
      | ~ eats(Y1_15,Z_17)
      | ~ plant(Z_17)
      | ~ much_smaller(Y1_15,X_9)
      | ~ animal(Y1_15)
      | eats(X_9,Y_14)
      | ~ plant(Y_14)
      | ~ animal(X_9) ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_816,plain,
    ! [X_9,Y_141,Y_14,Y_142] :
      ( eats(X_9,Y_141)
      | ~ much_smaller(Y_141,X_9)
      | eats(X_9,Y_14)
      | ~ plant(Y_14)
      | ~ animal(X_9)
      | ~ plant(Y_142)
      | ~ animal(Y_141)
      | ~ bird(Y_141) ),
    inference(resolution,[status(thm)],[c_781,c_36]) ).

tff(c_975,plain,
    ! [Y_142] : ~ plant(Y_142),
    inference(splitLeft,[status(thm)],[c_816]) ).

tff(c_28,plain,
    plant('#skF_8'),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_980,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_975,c_28]) ).

tff(c_982,plain,
    ! [X_154,Y_155,Y_156] :
      ( eats(X_154,Y_155)
      | ~ much_smaller(Y_155,X_154)
      | eats(X_154,Y_156)
      | ~ plant(Y_156)
      | ~ animal(X_154)
      | ~ animal(Y_155)
      | ~ bird(Y_155) ),
    inference(splitRight,[status(thm)],[c_816]) ).

tff(c_1009,plain,
    ! [Y_157,X_158,Y_159] :
      ( eats(Y_157,X_158)
      | eats(Y_157,Y_159)
      | ~ plant(Y_159)
      | ~ animal(Y_157)
      | ~ animal(X_158)
      | ~ fox(Y_157)
      | ~ bird(X_158) ),
    inference(resolution,[status(thm)],[c_42,c_982]) ).

tff(c_62,plain,
    ! [X_38,Y_39,Z_40] :
      ( ~ eats(X_38,Y_39)
      | ~ eats(Y_39,Z_40)
      | ~ grain(Z_40)
      | ~ animal(Y_39)
      | ~ animal(X_38) ),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_1079,plain,
    ! [X_158,Z_40,Y_157,Y_159] :
      ( ~ eats(X_158,Z_40)
      | ~ grain(Z_40)
      | eats(Y_157,Y_159)
      | ~ plant(Y_159)
      | ~ animal(Y_157)
      | ~ animal(X_158)
      | ~ fox(Y_157)
      | ~ bird(X_158) ),
    inference(resolution,[status(thm)],[c_1009,c_62]) ).

tff(c_1124,plain,
    ! [X_165,Z_166] :
      ( ~ eats(X_165,Z_166)
      | ~ grain(Z_166)
      | ~ animal(X_165)
      | ~ bird(X_165) ),
    inference(splitLeft,[status(thm)],[c_1079]) ).

tff(c_1145,plain,
    ! [Y_129,Y_127] :
      ( ~ grain(Y_129)
      | ~ plant(Y_129)
      | ~ animal(Y_127)
      | ~ bird(Y_127) ),
    inference(resolution,[status(thm)],[c_780,c_1124]) ).

tff(c_1150,plain,
    ! [Y_167] :
      ( ~ animal(Y_167)
      | ~ bird(Y_167) ),
    inference(splitLeft,[status(thm)],[c_1145]) ).

tff(c_1153,plain,
    ~ animal('#skF_5'),
    inference(resolution,[status(thm)],[c_16,c_1150]) ).

tff(c_1157,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_78,c_1153]) ).

tff(c_1159,plain,
    ! [Y_168] :
      ( ~ grain(Y_168)
      | ~ plant(Y_168) ),
    inference(splitRight,[status(thm)],[c_1145]) ).

tff(c_1174,plain,
    ! [A_8] : ~ grain(A_8),
    inference(resolution,[status(thm)],[c_34,c_1159]) ).

tff(c_32,plain,
    grain('#skF_9'),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_1177,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1174,c_32]) ).

tff(c_1180,plain,
    ! [Y_170,Y_171] :
      ( eats(Y_170,Y_171)
      | ~ plant(Y_171)
      | ~ animal(Y_170)
      | ~ fox(Y_170) ),
    inference(splitRight,[status(thm)],[c_1079]) ).

tff(c_1215,plain,
    ! [X_9,Y_170,Y_14,Y_171] :
      ( eats(X_9,Y_170)
      | ~ much_smaller(Y_170,X_9)
      | eats(X_9,Y_14)
      | ~ plant(Y_14)
      | ~ animal(X_9)
      | ~ plant(Y_171)
      | ~ animal(Y_170)
      | ~ fox(Y_170) ),
    inference(resolution,[status(thm)],[c_1180,c_36]) ).

tff(c_1229,plain,
    ! [Y_171] : ~ plant(Y_171),
    inference(splitLeft,[status(thm)],[c_1215]) ).

tff(c_1234,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1229,c_28]) ).

tff(c_1236,plain,
    ! [X_173,Y_174,Y_175] :
      ( eats(X_173,Y_174)
      | ~ much_smaller(Y_174,X_173)
      | eats(X_173,Y_175)
      | ~ plant(Y_175)
      | ~ animal(X_173)
      | ~ animal(Y_174)
      | ~ fox(Y_174) ),
    inference(splitRight,[status(thm)],[c_1215]) ).

tff(c_1263,plain,
    ! [Y_176,X_177,Y_178] :
      ( eats(Y_176,X_177)
      | eats(Y_176,Y_178)
      | ~ plant(Y_178)
      | ~ animal(Y_176)
      | ~ animal(X_177)
      | ~ wolf(Y_176)
      | ~ fox(X_177) ),
    inference(resolution,[status(thm)],[c_44,c_1236]) ).

tff(c_46,plain,
    ! [X_26,Y_27] :
      ( ~ eats(X_26,Y_27)
      | ~ fox(Y_27)
      | ~ wolf(X_26) ),
    inference(cnfTransformation,[status(thm)],[f_133]) ).

tff(c_1331,plain,
    ! [Y_176,Y_178,X_177] :
      ( eats(Y_176,Y_178)
      | ~ plant(Y_178)
      | ~ animal(Y_176)
      | ~ animal(X_177)
      | ~ wolf(Y_176)
      | ~ fox(X_177) ),
    inference(resolution,[status(thm)],[c_1263,c_46]) ).

tff(c_1345,plain,
    ! [X_179] :
      ( ~ animal(X_179)
      | ~ fox(X_179) ),
    inference(splitLeft,[status(thm)],[c_1331]) ).

tff(c_1348,plain,
    ~ animal('#skF_4'),
    inference(resolution,[status(thm)],[c_12,c_1345]) ).

tff(c_1352,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_68,c_1348]) ).

tff(c_1354,plain,
    ! [Y_180,Y_181] :
      ( eats(Y_180,Y_181)
      | ~ plant(Y_181)
      | ~ animal(Y_180)
      | ~ wolf(Y_180) ),
    inference(splitRight,[status(thm)],[c_1331]) ).

tff(c_48,plain,
    ! [X_28,Y_29] :
      ( ~ eats(X_28,Y_29)
      | ~ grain(Y_29)
      | ~ wolf(X_28) ),
    inference(cnfTransformation,[status(thm)],[f_140]) ).

tff(c_1393,plain,
    ! [Y_181,Y_180] :
      ( ~ grain(Y_181)
      | ~ plant(Y_181)
      | ~ animal(Y_180)
      | ~ wolf(Y_180) ),
    inference(resolution,[status(thm)],[c_1354,c_48]) ).

tff(c_1396,plain,
    ! [Y_182] :
      ( ~ animal(Y_182)
      | ~ wolf(Y_182) ),
    inference(splitLeft,[status(thm)],[c_1393]) ).

tff(c_1399,plain,
    ~ animal('#skF_3'),
    inference(resolution,[status(thm)],[c_8,c_1396]) ).

tff(c_1403,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_73,c_1399]) ).

tff(c_1405,plain,
    ! [Y_183] :
      ( ~ grain(Y_183)
      | ~ plant(Y_183) ),
    inference(splitRight,[status(thm)],[c_1393]) ).

tff(c_1420,plain,
    ! [A_8] : ~ grain(A_8),
    inference(resolution,[status(thm)],[c_34,c_1405]) ).

tff(c_1423,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1420,c_32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 17:23:23 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 4.70/2.22  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.70/2.23  
% 4.70/2.23  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.70/2.28  
% 4.70/2.28  Inference rules
% 4.70/2.28  ----------------------
% 4.70/2.28  #Ref     : 0
% 4.70/2.28  #Sup     : 277
% 4.70/2.28  #Fact    : 12
% 4.70/2.29  #Define  : 0
% 4.70/2.29  #Split   : 30
% 4.70/2.29  #Chain   : 0
% 4.70/2.29  #Close   : 0
% 4.70/2.29  
% 4.70/2.29  Ordering : KBO
% 4.70/2.29  
% 4.70/2.29  Simplification rules
% 4.70/2.29  ----------------------
% 4.70/2.29  #Subsume      : 288
% 4.70/2.29  #Demod        : 14
% 4.70/2.29  #Tautology    : 0
% 4.70/2.29  #SimpNegUnit  : 11
% 4.70/2.29  #BackRed      : 11
% 4.70/2.29  
% 4.70/2.29  #Partial instantiations: 0
% 4.70/2.29  #Strategies tried      : 1
% 4.70/2.29  
% 4.70/2.29  Timing (in seconds)
% 4.70/2.29  ----------------------
% 4.70/2.29  Preprocessing        : 0.49
% 4.70/2.29  Parsing              : 0.27
% 4.70/2.29  CNF conversion       : 0.04
% 4.70/2.29  Main loop            : 0.71
% 4.70/2.29  Inferencing          : 0.27
% 4.70/2.29  Reduction            : 0.17
% 4.70/2.29  Demodulation         : 0.11
% 4.70/2.29  BG Simplification    : 0.03
% 4.70/2.29  Subsumption          : 0.17
% 4.70/2.29  Abstraction          : 0.02
% 4.70/2.29  MUC search           : 0.00
% 4.70/2.29  Cooper               : 0.00
% 4.70/2.29  Total                : 1.28
% 4.70/2.29  Index Insertion      : 0.00
% 4.70/2.29  Index Deletion       : 0.00
% 4.70/2.29  Index Matching       : 0.00
% 4.70/2.29  BG Taut test         : 0.00
%------------------------------------------------------------------------------