TSTP Solution File: DAT048_1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : DAT048_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n013.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 10:37:02 EDT 2023
% Result : Theorem 22.68s 9.22s
% Output : CNFRefutation 23.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 22
% Syntax : Number of formulae : 190 ( 61 unt; 12 typ; 0 def)
% Number of atoms : 333 ( 270 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 295 ( 140 ~; 146 |; 1 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 531 ( 0 atm; 67 fun; 317 num; 147 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 10 usr; 12 con; 0-2 aty)
% Number of variables : 247 (; 247 !; 0 ?; 247 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > remove > add > #nlpp > count > empty
%Foreground sorts:
tff(collection,type,
collection: $tType ).
%Background operators:
tff('#skE_2',type,
'#skE_2': $int ).
tff('#skE_1',type,
'#skE_1': $int ).
tff('#skE_6',type,
'#skE_6': $int ).
tff('#skE_5',type,
'#skE_5': $int ).
tff('#skE_4',type,
'#skE_4': $int ).
tff('#skE_3',type,
'#skE_3': $int ).
%Foreground operators:
tff(empty,type,
empty: collection ).
tff(count,type,
count: collection > $int ).
tff(in,type,
in: ( $int * collection ) > $o ).
tff(remove,type,
remove: ( $int * collection ) > collection ).
tff(add,type,
add: ( $int * collection ) > collection ).
tff(f_71,axiom,
! [Za: $int,X1: collection,X2a: $int] :
( ( in(Za,X1)
| ( Za = X2a ) )
<=> in(Za,add(X2a,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002_0.ax',ax4) ).
tff(f_78,axiom,
! [X3a: $int,X4: collection,X5a: $int] :
( ( in(X3a,X4)
& ( X3a != X5a ) )
<=> in(X3a,remove(X5a,X4)) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002_0.ax',ax5) ).
tff(f_139,negated_conjecture,
count(add(1,add(5,remove(3,add(2,empty))))) != 3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_126,axiom,
! [X12a: $int,X13: collection] :
( in(X12a,X13)
<=> ( count(remove(X12a,X13)) = $difference(count(X13),1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax5) ).
tff(f_60,axiom,
! [Ua: $int] : ~ in(Ua,empty),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002_0.ax',ax1) ).
tff(f_131,axiom,
! [X14a: $int,X15: collection] :
( ~ in(X14a,X15)
<=> ( count(remove(X14a,X15)) = count(X15) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax6) ).
tff(f_113,axiom,
! [X7: collection] :
( ( X7 = empty )
<=> ( count(X7) = 0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax2) ).
tff(f_118,axiom,
! [X8a: $int,X9: collection] :
( ~ in(X8a,X9)
<=> ( count(add(X8a,X9)) = $sum(count(X9),1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax3) ).
tff(f_122,axiom,
! [X10a: $int,X11: collection] :
( in(X10a,X11)
<=> ( count(add(X10a,X11)) = count(X11) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax4) ).
tff(f_135,axiom,
! [X16a: $int,X17: collection] :
( in(X16a,X17)
=> ( X17 = add(X16a,remove(X16a,X17)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax7) ).
tff(c_65,plain,
! [X2_8a: $int,X1_7: collection] : in(X2_8a,add(X2_8a,X1_7)),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_63,plain,
! [X3_9a: $int,X5_11a: $int,X4_10: collection] :
( in(X3_9a,remove(X5_11a,X4_10))
| ~ in(X3_9a,X4_10)
| ( X5_11a = X3_9a ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_48,plain,
count(add(1,add(5,remove(3,add(2,empty))))) != 3,
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_117,plain,
count(add(1,add(5,remove(3,add(2,empty))))) = '#skE_1',
inference(define,[status(thm),theory(equality)],[c_48]) ).
tff(c_35,plain,
! [X12_18a: $int,X13_19: collection] :
( ( count(remove(X12_18a,X13_19)) = $difference(count(X13_19),1) )
| ~ in(X12_18a,X13_19) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_610,plain,
! [X12_77a: $int,X13_78: collection] :
( ( count(remove(X12_77a,X13_78)) = $sum($uminus(1),count(X13_78)) )
| ~ in(X12_77a,X13_78) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_35]) ).
tff(c_1750,plain,
! [X2_134a: $int,X1_135: collection] : ( count(remove(X2_134a,add(X2_134a,X1_135))) = $sum($uminus(1),count(add(X2_134a,X1_135))) ),
inference(resolution,[status(thm)],[c_65,c_610]) ).
tff(c_64,plain,
! [Z_6a: $int,X1_7: collection,X2_8a: $int] :
( ~ in(Z_6a,X1_7)
| in(Z_6a,add(X2_8a,X1_7)) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_69,plain,
! [U_1a: $int] : ~ in(U_1a,empty),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_120,plain,
! [X14_40a: $int,X15_41: collection] :
( ( count(remove(X14_40a,X15_41)) = count(X15_41) )
| in(X14_40a,X15_41) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_62,plain,
! [X3_9a: $int,X4_10: collection] : ~ in(X3_9a,remove(X3_9a,X4_10)),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_391,plain,
! [X14_65a: $int,X4_66: collection] : ( count(remove(X14_65a,remove(X14_65a,X4_66))) = count(remove(X14_65a,X4_66)) ),
inference(resolution,[status(thm)],[c_120,c_62]) ).
tff(c_58,plain,
! [X7_13: collection] :
( ( empty = X7_13 )
| ( count(X7_13) != 0 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_485,plain,
! [X14_71a: $int,X4_72: collection] :
( ( remove(X14_71a,remove(X14_71a,X4_72)) = empty )
| ( count(remove(X14_71a,X4_72)) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_391,c_58]) ).
tff(c_503,plain,
! [X3_9a: $int,X14_71a: $int,X4_72: collection] :
( in(X3_9a,empty)
| ~ in(X3_9a,remove(X14_71a,X4_72))
| ( X3_9a = X14_71a )
| ( count(remove(X14_71a,X4_72)) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_485,c_63]) ).
tff(c_998,plain,
! [X3_95a: $int,X14_96a: $int,X4_97: collection] :
( ~ in(X3_95a,remove(X14_96a,X4_97))
| ( X3_95a = X14_96a )
| ( count(remove(X14_96a,X4_97)) != 0 ) ),
inference(negUnitSimplification,[status(thm)],[c_69,c_503]) ).
tff(c_1097,plain,
! [X5_100a: $int,X4_101: collection,X3_102a: $int] :
( ( count(remove(X5_100a,X4_101)) != 0 )
| ~ in(X3_102a,X4_101)
| ( X5_100a = X3_102a ) ),
inference(resolution,[status(thm)],[c_63,c_998]) ).
tff(c_1508,plain,
! [X5_119a: $int,X2_120a: $int,X1_121: collection,Z_122a: $int] :
( ( count(remove(X5_119a,add(X2_120a,X1_121))) != 0 )
| ( Z_122a = X5_119a )
| ~ in(Z_122a,X1_121) ),
inference(resolution,[status(thm)],[c_64,c_1097]) ).
tff(c_1548,plain,
! [X5_119a: $int,X2_120a: $int,X2_8a: $int,X1_7: collection] :
( ( count(remove(X5_119a,add(X2_120a,add(X2_8a,X1_7)))) != 0 )
| ( X5_119a = X2_8a ) ),
inference(resolution,[status(thm)],[c_65,c_1508]) ).
tff(c_1763,plain,
! [X2_134a: $int,X2_8a: $int,X1_7: collection] :
( ( $sum($uminus(1),count(add(X2_134a,add(X2_8a,X1_7)))) != 0 )
| ( X2_8a = X2_134a ) ),
inference(superposition,[status(thm),theory(equality)],[c_1750,c_1548]) ).
tff(c_1965,plain,
! [X2_144a: $int,X2_145a: $int,X1_146: collection] :
( ( count(add(X2_144a,add(X2_145a,X1_146))) != 1 )
| ( X2_145a = X2_144a ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1763]) ).
tff(c_1983,plain,
( ( '#skE_1' != 1 )
| ( 5 = 1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_117,c_1965]) ).
tff(c_1991,plain,
'#skE_1' != 1,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1983]) ).
tff(c_59,plain,
count(empty) = 0,
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_25,plain,
! [X8_14a: $int,X9_15: collection] :
( ( count(add(X8_14a,X9_15)) = $sum(count(X9_15),1) )
| in(X8_14a,X9_15) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_330,plain,
! [X8_62a: $int,X9_63: collection] :
( ( count(add(X8_62a,X9_63)) = $sum(1,count(X9_63)) )
| in(X8_62a,X9_63) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_25]) ).
tff(c_355,plain,
! [X8_62a: $int] : ( count(add(X8_62a,empty)) = $sum(1,count(empty)) ),
inference(resolution,[status(thm)],[c_330,c_69]) ).
tff(c_369,plain,
! [X8_62a: $int] : ( count(add(X8_62a,empty)) = $sum(1,0) ),
inference(demodulation,[status(thm),theory(equality)],[c_59,c_355]) ).
tff(c_371,plain,
! [X8_62a: $int] : ( count(add(X8_62a,empty)) = 1 ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_369]) ).
tff(c_51,plain,
! [X14_20a: $int,X15_21: collection] :
( ( count(remove(X14_20a,X15_21)) = count(X15_21) )
| in(X14_20a,X15_21) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_196,plain,
! [X10_46a: $int,X11_47: collection] :
( ( count(add(X10_46a,X11_47)) = count(X11_47) )
| ~ in(X10_46a,X11_47) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_210,plain,
! [X14_20a: $int,X15_21: collection] :
( ( count(add(X14_20a,X15_21)) = count(X15_21) )
| ( count(remove(X14_20a,X15_21)) = count(X15_21) ) ),
inference(resolution,[status(thm)],[c_51,c_196]) ).
tff(c_132,plain,
! [X14_40a: $int] : ( count(remove(X14_40a,empty)) = count(empty) ),
inference(resolution,[status(thm)],[c_120,c_69]) ).
tff(c_140,plain,
! [X14_42a: $int] : ( count(remove(X14_42a,empty)) = 0 ),
inference(demodulation,[status(thm),theory(equality)],[c_59,c_132]) ).
tff(c_153,plain,
! [X14_42a: $int] : ( remove(X14_42a,empty) = empty ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_58]) ).
tff(c_709,plain,
! [X8_83a: $int,X4_84: collection] : ( count(add(X8_83a,remove(X8_83a,X4_84))) = $sum(1,count(remove(X8_83a,X4_84))) ),
inference(resolution,[status(thm)],[c_330,c_62]) ).
tff(c_717,plain,
! [X8_83a: $int,X4_84: collection] :
( ( add(X8_83a,remove(X8_83a,X4_84)) = empty )
| ( $sum(1,count(remove(X8_83a,X4_84))) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_709,c_58]) ).
tff(c_1613,plain,
! [X8_129a: $int,X4_130: collection] :
( ( add(X8_129a,remove(X8_129a,X4_130)) = empty )
| ( count(remove(X8_129a,X4_130)) != $uminus(1) ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_717]) ).
tff(c_1132,plain,
! [X5_100a: $int,X2_8a: $int,X1_7: collection] :
( ( count(remove(X5_100a,add(X2_8a,X1_7))) != 0 )
| ( X5_100a = X2_8a ) ),
inference(resolution,[status(thm)],[c_65,c_1097]) ).
tff(c_1622,plain,
! [X5_100a: $int,X8_129a: $int,X4_130: collection] :
( ( count(remove(X5_100a,empty)) != 0 )
| ( X8_129a = X5_100a )
| ( count(remove(X8_129a,X4_130)) != $uminus(1) ) ),
inference(superposition,[status(thm),theory(equality)],[c_1613,c_1132]) ).
tff(c_1715,plain,
! [X8_131a: $int,X5_132a: $int,X4_133: collection] :
( ( X8_131a = X5_132a )
| ( count(remove(X8_131a,X4_133)) != $uminus(1) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59,c_153,c_1622]) ).
tff(c_3557,plain,
! [X5_200a: $int,X14_201a: $int,X15_202: collection] :
( ( X5_200a = X14_201a )
| ( count(X15_202) != $uminus(1) )
| ( count(add(X14_201a,X15_202)) = count(X15_202) ) ),
inference(superposition,[status(thm),theory(equality)],[c_210,c_1715]) ).
tff(c_3669,plain,
! [X5_200a: $int] :
( ( X5_200a = 1 )
| ( count(add(5,remove(3,add(2,empty)))) != $uminus(1) )
| ( count(add(5,remove(3,add(2,empty)))) = '#skE_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_117,c_3557]) ).
tff(c_3899,plain,
count(add(5,remove(3,add(2,empty)))) = '#skE_2',
inference(define,[status(thm),theory(equality)],[c_3669]) ).
tff(c_54,plain,
! [X10_16a: $int,X11_17: collection] :
( in(X10_16a,X11_17)
| ( count(add(X10_16a,X11_17)) != count(X11_17) ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_175,plain,
! [X16_44a: $int,X17_45: collection] :
( ( add(X16_44a,remove(X16_44a,X17_45)) = X17_45 )
| ~ in(X16_44a,X17_45) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_750,plain,
! [X10_85a: $int,X11_86: collection] :
( ( add(X10_85a,remove(X10_85a,X11_86)) = X11_86 )
| ( count(add(X10_85a,X11_86)) != count(X11_86) ) ),
inference(resolution,[status(thm)],[c_54,c_175]) ).
tff(c_308,plain,
! [X2_58a: $int,X1_59: collection] : ( count(add(X2_58a,add(X2_58a,X1_59))) = count(add(X2_58a,X1_59)) ),
inference(resolution,[status(thm)],[c_65,c_196]) ).
tff(c_552,plain,
! [X2_75a: $int,X1_76: collection] :
( ( add(X2_75a,add(X2_75a,X1_76)) = empty )
| ( count(add(X2_75a,X1_76)) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_308,c_58]) ).
tff(c_579,plain,
! [X2_75a: $int,X1_76: collection] :
( in(X2_75a,empty)
| ( count(add(X2_75a,X1_76)) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_552,c_65]) ).
tff(c_604,plain,
! [X2_75a: $int,X1_76: collection] : ( count(add(X2_75a,X1_76)) != 0 ),
inference(negUnitSimplification,[status(thm)],[c_69,c_579]) ).
tff(c_797,plain,
! [X11_86: collection,X10_85a: $int] :
( ( count(X11_86) != 0 )
| ( count(add(X10_85a,X11_86)) != count(X11_86) ) ),
inference(superposition,[status(thm),theory(equality)],[c_750,c_604]) ).
tff(c_4041,plain,
( ( count(remove(3,add(2,empty))) != 0 )
| ( count(remove(3,add(2,empty))) != '#skE_2' ) ),
inference(superposition,[status(thm),theory(equality)],[c_3899,c_797]) ).
tff(c_4629,plain,
count(remove(3,add(2,empty))) = '#skE_3',
inference(define,[status(thm),theory(equality)],[c_4041]) ).
tff(c_4705,plain,
( ( count(add(2,empty)) = '#skE_3' )
| ( count(add(3,add(2,empty))) = count(add(2,empty)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_210,c_4629]) ).
tff(c_4763,plain,
( ( '#skE_3' = 1 )
| ( count(add(3,add(2,empty))) = 1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_371,c_371,c_4705]) ).
tff(c_4768,plain,
count(add(3,add(2,empty))) = '#skE_4',
inference(define,[status(thm),theory(equality)],[c_4763]) ).
tff(c_4772,plain,
( ( '#skE_3' = 1 )
| ( '#skE_4' = 1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4768,c_4763]) ).
tff(c_4774,plain,
'#skE_4' = 1,
inference(splitLeft,[status(thm)],[c_4772]) ).
tff(c_4771,plain,
count(add(3,add(2,empty))) = '#skE_4',
inference(define,[status(thm),theory(equality)],[c_4763]) ).
tff(c_4776,plain,
count(add(3,add(2,empty))) = 1,
inference(demodulation,[status(thm),theory(equality)],[c_4774,c_4771]) ).
tff(c_1826,plain,
! [X2_134a: $int,X2_8a: $int,X1_7: collection] :
( ( count(add(X2_134a,add(X2_8a,X1_7))) != 1 )
| ( X2_8a = X2_134a ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1763]) ).
tff(c_4868,plain,
3 = 2,
inference(superposition,[status(thm),theory(equality)],[c_4776,c_1826]) ).
tff(c_4871,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_4868]) ).
tff(c_4874,plain,
'#skE_3' = 1,
inference(splitRight,[status(thm)],[c_4772]) ).
tff(c_1742,plain,
! [X5_132a: $int,X14_20a: $int,X15_21: collection] :
( ( X5_132a = X14_20a )
| ( count(X15_21) != $uminus(1) )
| ( count(add(X14_20a,X15_21)) = count(X15_21) ) ),
inference(superposition,[status(thm),theory(equality)],[c_210,c_1715]) ).
tff(c_4030,plain,
! [X5_132a: $int] :
( ( X5_132a = 5 )
| ( count(remove(3,add(2,empty))) != $uminus(1) )
| ( count(remove(3,add(2,empty))) = '#skE_2' ) ),
inference(superposition,[status(thm),theory(equality)],[c_3899,c_1742]) ).
tff(c_4985,plain,
count(remove(3,add(2,empty))) = '#skE_3',
inference(define,[status(thm),theory(equality)],[c_4030]) ).
tff(c_4989,plain,
count(remove(3,add(2,empty))) = 1,
inference(demodulation,[status(thm),theory(equality)],[c_4874,c_4985]) ).
tff(c_28,plain,
! [X8_14a: $int,X9_15: collection] :
( ~ in(X8_14a,X9_15)
| ( count(add(X8_14a,X9_15)) != $sum(count(X9_15),1) ) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_452,plain,
! [X8_69a: $int,X9_70: collection] :
( ~ in(X8_69a,X9_70)
| ( count(add(X8_69a,X9_70)) != $sum(1,count(X9_70)) ) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_28]) ).
tff(c_5280,plain,
! [X10_215a: $int,X11_216: collection] :
( ( count(add(X10_215a,X11_216)) != $sum(1,count(X11_216)) )
| ( count(add(X10_215a,X11_216)) != count(X11_216) ) ),
inference(resolution,[status(thm)],[c_54,c_452]) ).
tff(c_5322,plain,
( ( $sum(1,count(add(5,remove(3,add(2,empty))))) != '#skE_1' )
| ( count(add(1,add(5,remove(3,add(2,empty))))) != count(add(5,remove(3,add(2,empty)))) ) ),
inference(superposition,[status(thm),theory(equality)],[c_117,c_5280]) ).
tff(c_5358,plain,
( ( $sum(1,'#skE_2') != '#skE_1' )
| ( '#skE_2' != '#skE_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_3899,c_3899,c_5322]) ).
tff(c_5360,plain,
( ( '#skE_2' != $sum($uminus(1),'#skE_1') )
| ( '#skE_2' != '#skE_1' ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_5358]) ).
tff(c_5362,plain,
'#skE_2' != '#skE_1',
inference(splitLeft,[status(thm)],[c_5360]) ).
tff(c_55,plain,
! [X10_16a: $int,X11_17: collection] :
( ( count(add(X10_16a,X11_17)) = count(X11_17) )
| ~ in(X10_16a,X11_17) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_3678,plain,
! [X8_203a: $int,X9_204: collection] :
( ( count(add(X8_203a,X9_204)) = count(X9_204) )
| ( count(add(X8_203a,X9_204)) = $sum(1,count(X9_204)) ) ),
inference(resolution,[status(thm)],[c_330,c_55]) ).
tff(c_3729,plain,
( ( $sum(1,count(add(5,remove(3,add(2,empty))))) = '#skE_1' )
| ( count(add(1,add(5,remove(3,add(2,empty))))) = count(add(5,remove(3,add(2,empty)))) ) ),
inference(superposition,[status(thm),theory(equality)],[c_3678,c_117]) ).
tff(c_3796,plain,
( ( $sum(1,count(add(5,remove(3,add(2,empty))))) = '#skE_1' )
| ( count(add(5,remove(3,add(2,empty)))) = '#skE_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117,c_3729]) ).
tff(c_3798,plain,
( ( count(add(5,remove(3,add(2,empty)))) = $sum($uminus(1),'#skE_1') )
| ( count(add(5,remove(3,add(2,empty)))) = '#skE_1' ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3796]) ).
tff(c_5365,plain,
( ( '#skE_2' = $sum($uminus(1),'#skE_1') )
| ( '#skE_2' = '#skE_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3899,c_3899,c_3798]) ).
tff(c_5367,plain,
'#skE_2' = $sum($uminus(1),'#skE_1'),
inference(negUnitSimplification,[status(thm)],[c_5362,c_5365]) ).
tff(c_640,plain,
! [X2_8a: $int,X1_7: collection] : ( count(remove(X2_8a,add(X2_8a,X1_7))) = $sum($uminus(1),count(add(X2_8a,X1_7))) ),
inference(resolution,[status(thm)],[c_65,c_610]) ).
tff(c_919,plain,
! [X14_93a: $int,X15_94: collection] :
( ( add(X14_93a,remove(X14_93a,X15_94)) = X15_94 )
| ( count(remove(X14_93a,X15_94)) = count(X15_94) ) ),
inference(resolution,[status(thm)],[c_51,c_175]) ).
tff(c_1036,plain,
! [X15_98: collection,X14_99a: $int] :
( ( count(X15_98) != 0 )
| ( count(remove(X14_99a,X15_98)) = count(X15_98) ) ),
inference(superposition,[status(thm),theory(equality)],[c_919,c_604]) ).
tff(c_1086,plain,
! [X14_99a: $int,X15_98: collection] :
( ( remove(X14_99a,X15_98) = empty )
| ( count(X15_98) != 0 )
| ( count(X15_98) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1036,c_58]) ).
tff(c_136,plain,
! [X14_40a: $int,X4_10: collection] : ( count(remove(X14_40a,remove(X14_40a,X4_10))) = count(remove(X14_40a,X4_10)) ),
inference(resolution,[status(thm)],[c_120,c_62]) ).
tff(c_94,plain,
! [X10_37a: $int,X11_38: collection] :
( in(X10_37a,X11_38)
| ( count(add(X10_37a,X11_38)) != count(X11_38) ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_110,plain,
! [X10_37a: $int,X4_10: collection] : ( count(add(X10_37a,remove(X10_37a,X4_10))) != count(remove(X10_37a,X4_10)) ),
inference(resolution,[status(thm)],[c_94,c_62]) ).
tff(c_500,plain,
! [X14_71a: $int,X4_72: collection] :
( ( count(remove(X14_71a,remove(X14_71a,X4_72))) != count(add(X14_71a,empty)) )
| ( count(remove(X14_71a,X4_72)) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_485,c_110]) ).
tff(c_528,plain,
! [X14_71a: $int,X4_72: collection] :
( ( count(remove(X14_71a,X4_72)) != 1 )
| ( count(remove(X14_71a,X4_72)) != 0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136,c_371,c_500]) ).
tff(c_1269,plain,
! [X15_108: collection,X14_109a: $int] :
( ( count(X15_108) != 1 )
| ( count(remove(X14_109a,X15_108)) != 0 )
| ( count(X15_108) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1036,c_528]) ).
tff(c_1272,plain,
! [X15_98: collection] :
( ( count(X15_98) != 1 )
| ( count(empty) != 0 )
| ( count(X15_98) != 0 )
| ( count(X15_98) != 0 )
| ( count(X15_98) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1086,c_1269]) ).
tff(c_1290,plain,
! [X15_98: collection] :
( ( count(X15_98) != 1 )
| ( count(X15_98) != 0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59,c_1272]) ).
tff(c_1769,plain,
! [X2_134a: $int,X1_135: collection] :
( ( $sum($uminus(1),count(add(X2_134a,X1_135))) != 1 )
| ( count(remove(X2_134a,add(X2_134a,X1_135))) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1750,c_1290]) ).
tff(c_1827,plain,
! [X2_134a: $int,X1_135: collection] :
( ( $sum($uminus(1),count(add(X2_134a,X1_135))) != 1 )
| ( $sum($uminus(1),count(add(X2_134a,X1_135))) != 0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_640,c_1769]) ).
tff(c_1829,plain,
! [X2_134a: $int,X1_135: collection] :
( ( count(add(X2_134a,X1_135)) != 2 )
| ( count(add(X2_134a,X1_135)) != 1 ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1827]) ).
tff(c_3990,plain,
( ( '#skE_2' != 2 )
| ( count(add(5,remove(3,add(2,empty)))) != 1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3899,c_1829]) ).
tff(c_4035,plain,
( ( '#skE_2' != 2 )
| ( '#skE_2' != 1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3899,c_3990]) ).
tff(c_4064,plain,
'#skE_2' != 1,
inference(splitLeft,[status(thm)],[c_4035]) ).
tff(c_5371,plain,
$sum($uminus(1),'#skE_1') != 1,
inference(demodulation,[status(thm),theory(equality)],[c_5367,c_4064]) ).
tff(c_5379,plain,
'#skE_1' != 2,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_5371]) ).
tff(c_114,plain,
count(add(1,add(5,remove(3,add(2,empty))))) = '#skE_1',
inference(define,[status(thm),theory(equality)],[c_48]) ).
tff(c_118,plain,
'#skE_1' != 3,
inference(demodulation,[status(thm),theory(equality)],[c_114,c_48]) ).
tff(c_5381,plain,
count(add(5,remove(3,add(2,empty)))) = $sum($uminus(1),'#skE_1'),
inference(demodulation,[status(thm),theory(equality)],[c_5367,c_3899]) ).
tff(c_361,plain,
! [X8_62a: $int,X9_63: collection] :
( ( count(add(X8_62a,X9_63)) = count(X9_63) )
| ( count(add(X8_62a,X9_63)) = $sum(1,count(X9_63)) ) ),
inference(resolution,[status(thm)],[c_330,c_55]) ).
tff(c_5901,plain,
( ( $sum(1,count(remove(3,add(2,empty)))) = $sum($uminus(1),'#skE_1') )
| ( count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty))) ) ),
inference(superposition,[status(thm),theory(equality)],[c_361,c_5381]) ).
tff(c_5973,plain,
( ( $sum($uminus(1),'#skE_1') = $sum(1,1) )
| ( $sum($uminus(1),'#skE_1') = 1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5381,c_4989,c_4989,c_5901]) ).
tff(c_5975,plain,
( ( '#skE_1' = 3 )
| ( '#skE_1' = 2 ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_5973]) ).
tff(c_5988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5379,c_118,c_5975]) ).
tff(c_5992,plain,
'#skE_2' = '#skE_1',
inference(splitRight,[status(thm)],[c_5360]) ).
tff(c_5999,plain,
count(add(5,remove(3,add(2,empty)))) = '#skE_1',
inference(demodulation,[status(thm),theory(equality)],[c_5992,c_3899]) ).
tff(c_6099,plain,
( ( count(add(5,remove(3,add(2,empty)))) = count(remove(3,add(2,empty))) )
| ( $sum(1,count(remove(3,add(2,empty)))) = '#skE_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_5999,c_361]) ).
tff(c_6156,plain,
( ( '#skE_1' = 1 )
| ( '#skE_1' = $sum(1,1) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4989,c_5999,c_4989,c_6099]) ).
tff(c_6157,plain,
'#skE_1' = $sum(1,1),
inference(negUnitSimplification,[status(thm)],[c_1991,c_6156]) ).
tff(c_6159,plain,
'#skE_1' = 2,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_6157]) ).
tff(c_6200,plain,
count(add(5,remove(3,add(2,empty)))) = 2,
inference(demodulation,[status(thm),theory(equality)],[c_6159,c_5999]) ).
tff(c_6202,plain,
count(add(1,add(5,remove(3,add(2,empty))))) = 2,
inference(demodulation,[status(thm),theory(equality)],[c_6159,c_117]) ).
tff(c_283,plain,
! [Z_53a: $int,X1_54: collection,X2_55a: $int] :
( in(Z_53a,X1_54)
| ~ in(Z_53a,add(X2_55a,X1_54))
| ( Z_53a = X2_55a ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_11020,plain,
! [X10_293a: $int,X1_294: collection,X2_295a: $int] :
( in(X10_293a,X1_294)
| ( X2_295a = X10_293a )
| ( count(add(X10_293a,add(X2_295a,X1_294))) != count(add(X2_295a,X1_294)) ) ),
inference(resolution,[status(thm)],[c_54,c_283]) ).
tff(c_70908,plain,
! [X10_888a: $int,X1_889: collection,X2_890a: $int] :
( ( count(add(X10_888a,X1_889)) = count(X1_889) )
| ( X2_890a = X10_888a )
| ( count(add(X10_888a,add(X2_890a,X1_889))) != count(add(X2_890a,X1_889)) ) ),
inference(resolution,[status(thm)],[c_11020,c_55]) ).
tff(c_71076,plain,
( ( count(add(1,remove(3,add(2,empty)))) = count(remove(3,add(2,empty))) )
| ( 5 = 1 )
| ( count(add(5,remove(3,add(2,empty)))) != 2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_6202,c_70908]) ).
tff(c_71194,plain,
( ( count(add(1,remove(3,add(2,empty)))) = 1 )
| ( 5 = 1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6200,c_4989,c_71076]) ).
tff(c_71196,plain,
count(add(1,remove(3,add(2,empty)))) = 1,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_71194]) ).
tff(c_238,plain,
! [X3_50a: $int,X5_51a: $int,X4_52: collection] :
( in(X3_50a,remove(X5_51a,X4_52))
| ~ in(X3_50a,X4_52)
| ( X5_51a = X3_50a ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_49,plain,
! [X16_22a: $int,X17_23: collection] :
( ( add(X16_22a,remove(X16_22a,X17_23)) = X17_23 )
| ~ in(X16_22a,X17_23) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_10739,plain,
! [X3_288a: $int,X5_289a: $int,X4_290: collection] :
( ( add(X3_288a,remove(X3_288a,remove(X5_289a,X4_290))) = remove(X5_289a,X4_290) )
| ~ in(X3_288a,X4_290)
| ( X5_289a = X3_288a ) ),
inference(resolution,[status(thm)],[c_238,c_49]) ).
tff(c_41714,plain,
! [X2_658a: $int,X5_659a: $int,X1_660: collection] :
( ( add(X2_658a,remove(X2_658a,remove(X5_659a,add(X2_658a,X1_660)))) = remove(X5_659a,add(X2_658a,X1_660)) )
| ( X5_659a = X2_658a ) ),
inference(resolution,[status(thm)],[c_65,c_10739]) ).
tff(c_3005,plain,
! [Z_189a: $int,X2_190a: $int,X1_191: collection] :
( ( add(Z_189a,remove(Z_189a,add(X2_190a,X1_191))) = add(X2_190a,X1_191) )
| ~ in(Z_189a,X1_191) ),
inference(resolution,[status(thm)],[c_64,c_175]) ).
tff(c_21129,plain,
! [X2_397a: $int,X2_398a: $int,X1_399: collection] : ( add(X2_397a,remove(X2_397a,add(X2_398a,add(X2_397a,X1_399)))) = add(X2_398a,add(X2_397a,X1_399)) ),
inference(resolution,[status(thm)],[c_65,c_3005]) ).
tff(c_21583,plain,
! [X2_397a: $int,X2_398a: $int,X1_399: collection] : in(X2_397a,add(X2_398a,add(X2_397a,X1_399))),
inference(superposition,[status(thm),theory(equality)],[c_21129,c_65]) ).
tff(c_42634,plain,
! [X2_664a: $int,X2_665a: $int,X5_666a: $int,X1_667: collection] :
( in(X2_664a,add(X2_665a,remove(X5_666a,add(X2_664a,X1_667))))
| ( X5_666a = X2_664a ) ),
inference(superposition,[status(thm),theory(equality)],[c_41714,c_21583]) ).
tff(c_1784,plain,
! [X2_134a: $int,X1_135: collection] :
( ( remove(X2_134a,add(X2_134a,X1_135)) = empty )
| ( $sum($uminus(1),count(add(X2_134a,X1_135))) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1750,c_58]) ).
tff(c_2458,plain,
! [X2_161a: $int,X1_162: collection] :
( ( remove(X2_161a,add(X2_161a,X1_162)) = empty )
| ( count(add(X2_161a,X1_162)) != 1 ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1784]) ).
tff(c_2528,plain,
! [X3_9a: $int,X2_161a: $int,X1_162: collection] :
( in(X3_9a,empty)
| ~ in(X3_9a,add(X2_161a,X1_162))
| ( X3_9a = X2_161a )
| ( count(add(X2_161a,X1_162)) != 1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2458,c_63]) ).
tff(c_2603,plain,
! [X3_9a: $int,X2_161a: $int,X1_162: collection] :
( ~ in(X3_9a,add(X2_161a,X1_162))
| ( X3_9a = X2_161a )
| ( count(add(X2_161a,X1_162)) != 1 ) ),
inference(negUnitSimplification,[status(thm)],[c_69,c_2528]) ).
tff(c_42851,plain,
! [X2_665a: $int,X2_664a: $int,X5_666a: $int,X1_667: collection] :
( ( X2_665a = X2_664a )
| ( count(add(X2_665a,remove(X5_666a,add(X2_664a,X1_667)))) != 1 )
| ( X5_666a = X2_664a ) ),
inference(resolution,[status(thm)],[c_42634,c_2603]) ).
tff(c_71451,plain,
( ( 2 = 1 )
| ( 3 = 2 ) ),
inference(superposition,[status(thm),theory(equality)],[c_71196,c_42851]) ).
tff(c_71454,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_71451]) ).
tff(c_71458,plain,
'#skE_2' = 1,
inference(splitRight,[status(thm)],[c_4035]) ).
tff(c_71465,plain,
count(add(5,remove(3,add(2,empty)))) = 1,
inference(demodulation,[status(thm),theory(equality)],[c_71458,c_3899]) ).
tff(c_195,plain,
! [X2_8a: $int,X1_7: collection] : ( add(X2_8a,remove(X2_8a,add(X2_8a,X1_7))) = add(X2_8a,X1_7) ),
inference(resolution,[status(thm)],[c_65,c_175]) ).
tff(c_2598,plain,
! [X2_161a: $int,X1_162: collection] :
( ( add(X2_161a,empty) = add(X2_161a,X1_162) )
| ( count(add(X2_161a,X1_162)) != 1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2458,c_195]) ).
tff(c_71532,plain,
add(5,remove(3,add(2,empty))) = add(5,empty),
inference(superposition,[status(thm),theory(equality)],[c_71465,c_2598]) ).
tff(c_81905,plain,
! [Z_1020a: $int] :
( ~ in(Z_1020a,remove(3,add(2,empty)))
| in(Z_1020a,add(5,empty)) ),
inference(superposition,[status(thm),theory(equality)],[c_71532,c_64]) ).
tff(c_82958,plain,
! [X3_1041a: $int] :
( in(X3_1041a,add(5,empty))
| ~ in(X3_1041a,add(2,empty))
| ( X3_1041a = 3 ) ),
inference(resolution,[status(thm)],[c_63,c_81905]) ).
tff(c_978,plain,
! [X15_94: collection,X14_93a: $int] :
( ( count(X15_94) != 0 )
| ( count(remove(X14_93a,X15_94)) = count(X15_94) ) ),
inference(superposition,[status(thm),theory(equality)],[c_919,c_604]) ).
tff(c_50,plain,
! [X14_20a: $int,X15_21: collection] :
( ~ in(X14_20a,X15_21)
| ( count(remove(X14_20a,X15_21)) != count(X15_21) ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_72425,plain,
! [X8_896a: $int,X9_897: collection] :
( ( count(remove(X8_896a,X9_897)) != count(X9_897) )
| ( count(add(X8_896a,X9_897)) = $sum(1,count(X9_897)) ) ),
inference(resolution,[status(thm)],[c_330,c_50]) ).
tff(c_72500,plain,
! [X14_898a: $int,X15_899: collection] :
( ( count(add(X14_898a,X15_899)) = $sum(1,count(X15_899)) )
| ( count(X15_899) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_978,c_72425]) ).
tff(c_72531,plain,
! [X14_898a: $int,X15_899: collection] :
( ( add(X14_898a,empty) = add(X14_898a,X15_899) )
| ( $sum(1,count(X15_899)) != 1 )
| ( count(X15_899) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_72500,c_2598]) ).
tff(c_74145,plain,
! [X14_912a: $int,X15_913: collection] :
( ( add(X14_912a,empty) = add(X14_912a,X15_913) )
| ( count(X15_913) != 0 )
| ( count(X15_913) != 0 ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_72531]) ).
tff(c_74250,plain,
! [X14_912a: $int,X15_913: collection] :
( ( add(X14_912a,empty) = add(X14_912a,X15_913) )
| ( count(add(X14_912a,empty)) != 1 )
| ( count(X15_913) != 0 )
| ( count(X15_913) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_74145,c_2598]) ).
tff(c_75537,plain,
! [X14_930a: $int,X15_931: collection] :
( ( add(X14_930a,empty) = add(X14_930a,X15_931) )
| ( count(X15_931) != 0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_371,c_74250]) ).
tff(c_1840,plain,
! [X2_134a: $int,X1_135: collection] :
( ( remove(X2_134a,add(X2_134a,X1_135)) = empty )
| ( count(add(X2_134a,X1_135)) != 1 ) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1784]) ).
tff(c_74270,plain,
! [X14_912a: $int,X15_913: collection] :
( ( remove(X14_912a,add(X14_912a,X15_913)) = empty )
| ( count(add(X14_912a,empty)) != 1 )
| ( count(X15_913) != 0 )
| ( count(X15_913) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_74145,c_1840]) ).
tff(c_74486,plain,
! [X14_912a: $int,X15_913: collection] :
( ( remove(X14_912a,add(X14_912a,X15_913)) = empty )
| ( count(X15_913) != 0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_371,c_74270]) ).
tff(c_75844,plain,
! [X14_930a: $int,X15_931: collection] :
( ( remove(X14_930a,add(X14_930a,empty)) = empty )
| ( count(X15_931) != 0 )
| ( count(X15_931) != 0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_75537,c_74486]) ).
tff(c_81102,plain,
! [X15_1010: collection] :
( ( count(X15_1010) != 0 )
| ( count(X15_1010) != 0 ) ),
inference(splitLeft,[status(thm)],[c_75844]) ).
tff(c_81158,plain,
count(empty) != 0,
inference(superposition,[status(thm),theory(equality)],[c_59,c_81102]) ).
tff(c_81203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59,c_81158]) ).
tff(c_81207,plain,
! [X14_1011a: $int] : ( remove(X14_1011a,add(X14_1011a,empty)) = empty ),
inference(splitRight,[status(thm)],[c_75844]) ).
tff(c_81324,plain,
! [X3_9a: $int,X14_1011a: $int] :
( in(X3_9a,empty)
| ~ in(X3_9a,add(X14_1011a,empty))
| ( X3_9a = X14_1011a ) ),
inference(superposition,[status(thm),theory(equality)],[c_81207,c_63]) ).
tff(c_81467,plain,
! [X3_9a: $int,X14_1011a: $int] :
( ~ in(X3_9a,add(X14_1011a,empty))
| ( X3_9a = X14_1011a ) ),
inference(negUnitSimplification,[status(thm)],[c_69,c_81324]) ).
tff(c_83113,plain,
! [X3_1042a: $int] :
( ( X3_1042a = 5 )
| ~ in(X3_1042a,add(2,empty))
| ( X3_1042a = 3 ) ),
inference(resolution,[status(thm)],[c_82958,c_81467]) ).
tff(c_83211,plain,
( ( 5 = 2 )
| ( 3 = 2 ) ),
inference(resolution,[status(thm)],[c_65,c_83113]) ).
tff(c_83214,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_83211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : DAT048_1 : TPTP v8.1.2. Released v5.0.0.
% 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
% 0.14/0.36 % Computer : n013.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 13:07:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 22.68/9.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.80/9.24
% 22.80/9.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.04/9.29
% 23.04/9.29 Inference rules
% 23.04/9.29 ----------------------
% 23.04/9.29 #Ref : 0
% 23.04/9.29 #Sup : 17750
% 23.04/9.29 #Fact : 4
% 23.04/9.29 #Define : 10
% 23.04/9.29 #Split : 34
% 23.04/9.29 #Chain : 0
% 23.04/9.29 #Close : 0
% 23.04/9.29
% 23.04/9.29 Ordering : LPO
% 23.04/9.29
% 23.04/9.29 Simplification rules
% 23.04/9.29 ----------------------
% 23.04/9.29 #Subsume : 5418
% 23.04/9.29 #Demod : 8926
% 23.04/9.29 #Tautology : 5883
% 23.04/9.29 #SimpNegUnit : 146
% 23.04/9.29 #BackRed : 21
% 23.04/9.29
% 23.04/9.29 #Partial instantiations: 0
% 23.04/9.29 #Strategies tried : 1
% 23.04/9.29
% 23.04/9.29 Timing (in seconds)
% 23.04/9.29 ----------------------
% 23.42/9.37 Preprocessing : 0.58
% 23.42/9.37 Parsing : 0.31
% 23.42/9.37 CNF conversion : 0.03
% 23.42/9.37 Main loop : 7.62
% 23.42/9.37 Inferencing : 1.47
% 23.42/9.37 Reduction : 2.04
% 23.42/9.37 Demodulation : 1.52
% 23.42/9.37 BG Simplification : 0.50
% 23.42/9.37 Subsumption : 3.01
% 23.42/9.37 Abstraction : 0.27
% 23.42/9.37 MUC search : 0.00
% 23.42/9.37 Cooper : 0.03
% 23.42/9.37 Total : 8.28
% 23.42/9.37 Index Insertion : 0.00
% 23.42/9.37 Index Deletion : 0.00
% 23.42/9.37 Index Matching : 0.00
% 23.42/9.37 BG Taut test : 0.00
%------------------------------------------------------------------------------