%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ031+2 : TPTP v9.0.0. 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 : n018.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 : Wed Apr 9 08:25:06 PM UTC 2025
% Result : Theorem 4.92s 2.21s
% Output : CNFRefutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 91 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 262 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 326 ( 155 ~; 140 |; 15 &)
% ( 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 130 ( 118 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ much_smaller > eats > wolf > snail > plant > grain > fox > caterpillar > bird > animal > #nlpp > #skF_7 > #skF_8 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(grain,type,
grain: $i > $o ).
tff(much_smaller,type,
much_smaller: ( $i * $i ) > $o ).
tff(plant,type,
plant: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(animal,type,
animal: $i > $o ).
tff(snail,type,
snail: $i > $o ).
tff('#skF_5',type,
'#skF_5': $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(wolf,type,
wolf: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(eats,type,
eats: ( $i * $i ) > $o ).
tff(fox,type,
fox: $i > $o ).
tff(f_69,axiom,
! [X] :
( grain(X)
=> plant(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_6_2) ).
tff(f_35,axiom,
? [A] : wolf(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).
tff(f_47,axiom,
! [X] :
( wolf(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_1) ).
tff(f_37,axiom,
? [A] : fox(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).
tff(f_51,axiom,
! [X] :
( fox(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_1) ).
tff(f_112,axiom,
! [X,Y] :
( ( fox(X)
& wolf(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
tff(f_39,axiom,
? [A] : bird(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).
tff(f_55,axiom,
! [X] :
( bird(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_1) ).
tff(f_43,axiom,
? [A] : snail(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).
tff(f_63,axiom,
! [X] :
( snail(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_4_2) ).
tff(f_94,axiom,
! [Y,X] :
( ( bird(Y)
& snail(X) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
tff(f_153,axiom,
! [X] :
( snail(X)
=> ? [Y] :
( plant(Y)
& eats(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).
tff(f_88,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_139,axiom,
! [X,Y] :
( ( bird(X)
& snail(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
tff(f_106,axiom,
! [X,Y] :
( ( bird(X)
& fox(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
tff(f_146,axiom,
! [X] :
( caterpillar(X)
=> ? [Y] :
( plant(Y)
& eats(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14) ).
tff(f_41,axiom,
? [A] : caterpillar(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',caterpillar_type) ).
tff(f_165,negated_conjecture,
~ ? [X,Y] :
( animal(X)
& animal(Y)
& ? [Z] :
( grain(Z)
& eats(Y,Z)
& eats(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
tff(f_65,axiom,
? [A] : grain(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).
tff(f_119,axiom,
! [X,Y] :
( ( wolf(X)
& fox(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
tff(f_126,axiom,
! [X,Y] :
( ( wolf(X)
& grain(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
tff(c_24,plain,
! [X_6] :
( plant(X_6)
| ~ grain(X_6) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_2,plain,
wolf('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_54,plain,
! [X_41] :
( animal(X_41)
| ~ wolf(X_41) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_58,plain,
animal('#skF_1'),
inference(resolution,[status(thm)],[c_2,c_54]) ).
tff(c_4,plain,
fox('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_75,plain,
! [X_48] :
( animal(X_48)
| ~ fox(X_48) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_79,plain,
animal('#skF_2'),
inference(resolution,[status(thm)],[c_4,c_75]) ).
tff(c_34,plain,
! [X_22,Y_23] :
( much_smaller(X_22,Y_23)
| ~ wolf(Y_23)
| ~ fox(X_22) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_6,plain,
bird('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_60,plain,
! [X_45] :
( animal(X_45)
| ~ bird(X_45) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_64,plain,
animal('#skF_3'),
inference(resolution,[status(thm)],[c_6,c_60]) ).
tff(c_10,plain,
snail('#skF_5'),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_65,plain,
! [X_46] :
( animal(X_46)
| ~ snail(X_46) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_69,plain,
animal('#skF_5'),
inference(resolution,[status(thm)],[c_10,c_65]) ).
tff(c_28,plain,
! [X_17,Y_16] :
( much_smaller(X_17,Y_16)
| ~ snail(X_17)
| ~ bird(Y_16) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_50,plain,
! [X_34] :
( plant('#skF_8'(X_34))
| ~ snail(X_34) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_48,plain,
! [X_34] :
( eats(X_34,'#skF_8'(X_34))
| ~ snail(X_34) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_162,plain,
! [X_72,Y1_73,Z_74,Y_75] :
( eats(X_72,Y1_73)
| ~ eats(Y1_73,Z_74)
| ~ plant(Z_74)
| ~ much_smaller(Y1_73,X_72)
| ~ animal(Y1_73)
| eats(X_72,Y_75)
| ~ plant(Y_75)
| ~ animal(X_72) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_233,plain,
! [X_90,X_91,Y_92] :
( eats(X_90,X_91)
| ~ plant('#skF_8'(X_91))
| ~ much_smaller(X_91,X_90)
| ~ animal(X_91)
| eats(X_90,Y_92)
| ~ plant(Y_92)
| ~ animal(X_90)
| ~ snail(X_91) ),
inference(resolution,[status(thm)],[c_48,c_162]) ).
tff(c_246,plain,
! [X_97,X_98,Y_99] :
( eats(X_97,X_98)
| ~ much_smaller(X_98,X_97)
| ~ animal(X_98)
| eats(X_97,Y_99)
| ~ plant(Y_99)
| ~ animal(X_97)
| ~ snail(X_98) ),
inference(resolution,[status(thm)],[c_50,c_233]) ).
tff(c_273,plain,
! [Y_100,X_101,Y_102] :
( eats(Y_100,X_101)
| ~ animal(X_101)
| eats(Y_100,Y_102)
| ~ plant(Y_102)
| ~ animal(Y_100)
| ~ snail(X_101)
| ~ bird(Y_100) ),
inference(resolution,[status(thm)],[c_28,c_246]) ).
tff(c_42,plain,
! [X_30,Y_31] :
( ~ eats(X_30,Y_31)
| ~ snail(Y_31)
| ~ bird(X_30) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_328,plain,
! [X_101,Y_100,Y_102] :
( ~ animal(X_101)
| eats(Y_100,Y_102)
| ~ plant(Y_102)
| ~ animal(Y_100)
| ~ snail(X_101)
| ~ bird(Y_100) ),
inference(resolution,[status(thm)],[c_273,c_42]) ).
tff(c_468,plain,
! [X_121] :
( ~ animal(X_121)
| ~ snail(X_121) ),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_471,plain,
~ animal('#skF_5'),
inference(resolution,[status(thm)],[c_10,c_468]) ).
tff(c_475,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_69,c_471]) ).
tff(c_476,plain,
! [Y_100,Y_102] :
( eats(Y_100,Y_102)
| ~ plant(Y_102)
| ~ animal(Y_100)
| ~ bird(Y_100) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_32,plain,
! [X_20,Y_21] :
( much_smaller(X_20,Y_21)
| ~ fox(Y_21)
| ~ bird(X_20) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_477,plain,
! [Y_122,Y_123] :
( eats(Y_122,Y_123)
| ~ plant(Y_123)
| ~ animal(Y_122)
| ~ bird(Y_122) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_26,plain,
! [X_7,Y1_13,Z_15,Y_12] :
( eats(X_7,Y1_13)
| ~ eats(Y1_13,Z_15)
| ~ plant(Z_15)
| ~ much_smaller(Y1_13,X_7)
| ~ animal(Y1_13)
| eats(X_7,Y_12)
| ~ plant(Y_12)
| ~ animal(X_7) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_508,plain,
! [X_7,Y_122,Y_12,Y_123] :
( eats(X_7,Y_122)
| ~ much_smaller(Y_122,X_7)
| eats(X_7,Y_12)
| ~ plant(Y_12)
| ~ animal(X_7)
| ~ plant(Y_123)
| ~ animal(Y_122)
| ~ bird(Y_122) ),
inference(resolution,[status(thm)],[c_477,c_26]) ).
tff(c_807,plain,
! [Y_123] : ~ plant(Y_123),
inference(splitLeft,[status(thm)],[c_508]) ).
tff(c_46,plain,
! [X_32] :
( plant('#skF_7'(X_32))
| ~ caterpillar(X_32) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_808,plain,
! [X_32] : ~ caterpillar(X_32),
inference(negUnitSimplification,[status(thm)],[c_807,c_46]) ).
tff(c_8,plain,
caterpillar('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_808,c_8]) ).
tff(c_815,plain,
! [X_146,Y_147,Y_148] :
( eats(X_146,Y_147)
| ~ much_smaller(Y_147,X_146)
| eats(X_146,Y_148)
| ~ plant(Y_148)
| ~ animal(X_146)
| ~ animal(Y_147)
| ~ bird(Y_147) ),
inference(splitRight,[status(thm)],[c_508]) ).
tff(c_842,plain,
! [Y_149,X_150,Y_151] :
( eats(Y_149,X_150)
| eats(Y_149,Y_151)
| ~ plant(Y_151)
| ~ animal(Y_149)
| ~ animal(X_150)
| ~ fox(Y_149)
| ~ bird(X_150) ),
inference(resolution,[status(thm)],[c_32,c_815]) ).
tff(c_52,plain,
! [X_36,Y_37,Z_39] :
( ~ eats(X_36,Y_37)
| ~ eats(Y_37,Z_39)
| ~ grain(Z_39)
| ~ animal(Y_37)
| ~ animal(X_36) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_912,plain,
! [X_150,Z_39,Y_149,Y_151] :
( ~ eats(X_150,Z_39)
| ~ grain(Z_39)
| eats(Y_149,Y_151)
| ~ plant(Y_151)
| ~ animal(Y_149)
| ~ animal(X_150)
| ~ fox(Y_149)
| ~ bird(X_150) ),
inference(resolution,[status(thm)],[c_842,c_52]) ).
tff(c_932,plain,
! [X_153,Z_154] :
( ~ eats(X_153,Z_154)
| ~ grain(Z_154)
| ~ animal(X_153)
| ~ bird(X_153) ),
inference(splitLeft,[status(thm)],[c_912]) ).
tff(c_953,plain,
! [Y_102,Y_100] :
( ~ grain(Y_102)
| ~ plant(Y_102)
| ~ animal(Y_100)
| ~ bird(Y_100) ),
inference(resolution,[status(thm)],[c_476,c_932]) ).
tff(c_958,plain,
! [Y_155] :
( ~ animal(Y_155)
| ~ bird(Y_155) ),
inference(splitLeft,[status(thm)],[c_953]) ).
tff(c_961,plain,
~ animal('#skF_3'),
inference(resolution,[status(thm)],[c_6,c_958]) ).
tff(c_965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_64,c_961]) ).
tff(c_967,plain,
! [Y_156] :
( ~ grain(Y_156)
| ~ plant(Y_156) ),
inference(splitRight,[status(thm)],[c_953]) ).
tff(c_979,plain,
! [X_6] : ~ grain(X_6),
inference(resolution,[status(thm)],[c_24,c_967]) ).
tff(c_22,plain,
grain('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_979,c_22]) ).
tff(c_990,plain,
! [Y_158,Y_159] :
( eats(Y_158,Y_159)
| ~ plant(Y_159)
| ~ animal(Y_158)
| ~ fox(Y_158) ),
inference(splitRight,[status(thm)],[c_912]) ).
tff(c_1025,plain,
! [X_7,Y_158,Y_12,Y_159] :
( eats(X_7,Y_158)
| ~ much_smaller(Y_158,X_7)
| eats(X_7,Y_12)
| ~ plant(Y_12)
| ~ animal(X_7)
| ~ plant(Y_159)
| ~ animal(Y_158)
| ~ fox(Y_158) ),
inference(resolution,[status(thm)],[c_990,c_26]) ).
tff(c_1062,plain,
! [Y_159] : ~ plant(Y_159),
inference(splitLeft,[status(thm)],[c_1025]) ).
tff(c_1063,plain,
! [X_32] : ~ caterpillar(X_32),
inference(negUnitSimplification,[status(thm)],[c_1062,c_46]) ).
tff(c_1068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1063,c_8]) ).
tff(c_1070,plain,
! [X_166,Y_167,Y_168] :
( eats(X_166,Y_167)
| ~ much_smaller(Y_167,X_166)
| eats(X_166,Y_168)
| ~ plant(Y_168)
| ~ animal(X_166)
| ~ animal(Y_167)
| ~ fox(Y_167) ),
inference(splitRight,[status(thm)],[c_1025]) ).
tff(c_1097,plain,
! [Y_169,X_170,Y_171] :
( eats(Y_169,X_170)
| eats(Y_169,Y_171)
| ~ plant(Y_171)
| ~ animal(Y_169)
| ~ animal(X_170)
| ~ wolf(Y_169)
| ~ fox(X_170) ),
inference(resolution,[status(thm)],[c_34,c_1070]) ).
tff(c_36,plain,
! [X_24,Y_25] :
( ~ eats(X_24,Y_25)
| ~ fox(Y_25)
| ~ wolf(X_24) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_1164,plain,
! [Y_169,Y_171,X_170] :
( eats(Y_169,Y_171)
| ~ plant(Y_171)
| ~ animal(Y_169)
| ~ animal(X_170)
| ~ wolf(Y_169)
| ~ fox(X_170) ),
inference(resolution,[status(thm)],[c_1097,c_36]) ).
tff(c_1179,plain,
! [X_172] :
( ~ animal(X_172)
| ~ fox(X_172) ),
inference(splitLeft,[status(thm)],[c_1164]) ).
tff(c_1182,plain,
~ animal('#skF_2'),
inference(resolution,[status(thm)],[c_4,c_1179]) ).
tff(c_1186,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1182]) ).
tff(c_1188,plain,
! [Y_173,Y_174] :
( eats(Y_173,Y_174)
| ~ plant(Y_174)
| ~ animal(Y_173)
| ~ wolf(Y_173) ),
inference(splitRight,[status(thm)],[c_1164]) ).
tff(c_38,plain,
! [X_26,Y_27] :
( ~ eats(X_26,Y_27)
| ~ grain(Y_27)
| ~ wolf(X_26) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_1224,plain,
! [Y_174,Y_173] :
( ~ grain(Y_174)
| ~ plant(Y_174)
| ~ animal(Y_173)
| ~ wolf(Y_173) ),
inference(resolution,[status(thm)],[c_1188,c_38]) ).
tff(c_1230,plain,
! [Y_175] :
( ~ animal(Y_175)
| ~ wolf(Y_175) ),
inference(splitLeft,[status(thm)],[c_1224]) ).
tff(c_1233,plain,
~ animal('#skF_1'),
inference(resolution,[status(thm)],[c_2,c_1230]) ).
tff(c_1237,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_1233]) ).
tff(c_1239,plain,
! [Y_176] :
( ~ grain(Y_176)
| ~ plant(Y_176) ),
inference(splitRight,[status(thm)],[c_1224]) ).
tff(c_1251,plain,
! [X_6] : ~ grain(X_6),
inference(resolution,[status(thm)],[c_24,c_1239]) ).
tff(c_1253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1251,c_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : PUZ031+2 : TPTP v9.0.0. Released v4.1.0.
% 0.06/0.15 % 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
% 0.12/0.36 % Computer : n018.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Tue Apr 8 17:11:32 EDT 2025
% 0.12/0.36 % CPUTime :
% 4.92/2.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.33/2.22
% 5.33/2.22 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
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