TSTP Solution File: SWC310+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC310+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n004.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 11:02:04 EDT 2023
% Result : Theorem 17.62s 6.25s
% Output : CNFRefutation 17.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 94
% Syntax : Number of formulae : 257 ( 81 unt; 77 typ; 0 def)
% Number of atoms : 409 ( 173 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 414 ( 185 ~; 180 |; 16 &)
% ( 2 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 68 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 9 con; 0-2 aty)
% Number of variables : 68 (; 61 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > cons > app > #nlpp > tl > hd > nil > #skF_36 > #skF_25 > #skF_5 > #skF_52 > #skF_44 > #skF_21 > #skF_16 > #skF_6 > #skF_49 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_31 > #skF_22 > #skF_37 > #skF_40 > #skF_48 > #skF_3 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_53 > #skF_51 > #skF_28 > #skF_10 > #skF_41 > #skF_2 > #skF_38 > #skF_43 > #skF_1 > #skF_8 > #skF_39 > #skF_23 > #skF_33 > #skF_26 > #skF_50 > #skF_13 > #skF_17 > #skF_11 > #skF_14 > #skF_27 > #skF_12 > #skF_7 > #skF_46 > #skF_42 > #skF_45 > #skF_9 > #skF_30 > #skF_4 > #skF_20 > #skF_47
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_36',type,
'#skF_36': $i > $i ).
tff(segmentP,type,
segmentP: ( $i * $i ) > $o ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff(totalorderedP,type,
totalorderedP: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(equalelemsP,type,
equalelemsP: $i > $o ).
tff('#skF_52',type,
'#skF_52': $i ).
tff('#skF_44',type,
'#skF_44': $i > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff('#skF_35',type,
'#skF_35': $i > $i ).
tff(singletonP,type,
singletonP: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(frontsegP,type,
frontsegP: ( $i * $i ) > $o ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(totalorderP,type,
totalorderP: $i > $o ).
tff(ssItem,type,
ssItem: $i > $o ).
tff('#skF_40',type,
'#skF_40': $i > $i ).
tff('#skF_48',type,
'#skF_48': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_32',type,
'#skF_32': $i > $i ).
tff('#skF_53',type,
'#skF_53': $i ).
tff('#skF_51',type,
'#skF_51': $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_41',type,
'#skF_41': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_38',type,
'#skF_38': $i > $i ).
tff('#skF_43',type,
'#skF_43': $i > $i ).
tff(hd,type,
hd: $i > $i ).
tff(app,type,
app: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(duplicatefreeP,type,
duplicatefreeP: $i > $o ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff('#skF_39',type,
'#skF_39': $i > $i ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(rearsegP,type,
rearsegP: ( $i * $i ) > $o ).
tff('#skF_33',type,
'#skF_33': $i > $i ).
tff(memberP,type,
memberP: ( $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff('#skF_50',type,
'#skF_50': $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(ssList,type,
ssList: $i > $o ).
tff(cons,type,
cons: ( $i * $i ) > $i ).
tff(strictorderP,type,
strictorderP: $i > $o ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff(tl,type,
tl: $i > $i ).
tff(neq,type,
neq: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': $i > $i ).
tff(nil,type,
nil: $i ).
tff('#skF_42',type,
'#skF_42': $i > $i ).
tff('#skF_45',type,
'#skF_45': $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(strictorderedP,type,
strictorderedP: $i > $o ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(cyclefreeP,type,
cyclefreeP: $i > $o ).
tff('#skF_47',type,
'#skF_47': $i > $i ).
tff(f_1049,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ~ ssList(Z)
| ( app(cons(Y,nil),Z) != X )
| ( app(Z,cons(Y,nil)) != W ) ) )
& neq(X,nil) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ neq(V,nil)
| ? [X1] :
( ssList(X1)
& ( U = X1 )
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( tl(V) = X2 )
& ( app(X2,X3) = X1 )
& ? [X4] :
( ssItem(X4)
& ( cons(X4,nil) = X3 )
& ( hd(V) = X4 )
& neq(nil,V) )
& neq(nil,V) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_769,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssItem(V)
& ( hd(U) = V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).
tff(f_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
tff(f_318,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ssList(cons(V,U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
tff(f_779,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssList(V)
& ( tl(U) = V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).
tff(f_834,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) = app(cons(V,nil),U) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
tff(f_392,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( tl(cons(V,U)) = U ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
tff(f_519,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
tff(f_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
tff(f_803,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ( cons(hd(U),tl(U)) = U ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
tff(f_311,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( neq(U,V)
<=> ( U != V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
tff(f_399,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
tff(f_869,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil != U )
=> ( hd(app(U,V)) = hd(U) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
tff(f_96,axiom,
! [U] :
( ssList(U)
=> ( singletonP(U)
<=> ? [V] :
( ssItem(V)
& ( cons(V,nil) = U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
tff(f_378,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( hd(cons(V,U)) = V ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
tff(c_392,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_384,plain,
( ( nil != '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_432,plain,
nil != '#skF_51',
inference(splitLeft,[status(thm)],[c_384]) ).
tff(c_390,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_6322,plain,
! [U_1743] :
( ( hd(U_1743) = '#skF_46'(U_1743) )
| ( nil = U_1743 )
| ~ ssList(U_1743) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_6412,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_390,c_6322]) ).
tff(c_6447,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_432,c_6412]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_6589,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_6447,c_184]) ).
tff(c_6593,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_6589]) ).
tff(c_6594,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_432,c_6593]) ).
tff(c_166,plain,
! [V_861,U_859] :
( ssList(cons(V_861,U_859))
| ~ ssItem(V_861)
| ~ ssList(U_859) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_412,plain,
( ssItem('#skF_52')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_434,plain,
~ neq('#skF_51',nil),
inference(splitLeft,[status(thm)],[c_412]) ).
tff(c_388,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_404,plain,
( ( nil = '#skF_49' )
| neq('#skF_49',nil) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_417,plain,
( ( nil = '#skF_51' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_388,c_404]) ).
tff(c_444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_432,c_417]) ).
tff(c_446,plain,
neq('#skF_51',nil),
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_406,plain,
( ( app('#skF_53',cons('#skF_52',nil)) = '#skF_50' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_508,plain,
app('#skF_53',cons('#skF_52',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_446,c_406]) ).
tff(c_410,plain,
( ssList('#skF_53')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_453,plain,
ssList('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_446,c_410]) ).
tff(c_445,plain,
ssItem('#skF_52'),
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_6448,plain,
! [U_1744] :
( ( tl(U_1744) = '#skF_47'(U_1744) )
| ( nil = U_1744 )
| ~ ssList(U_1744) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_6538,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_390,c_6448]) ).
tff(c_6573,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_432,c_6538]) ).
tff(c_30461,plain,
! [V_2524,U_2525] :
( ( app(cons(V_2524,nil),U_2525) = cons(V_2524,U_2525) )
| ~ ssItem(V_2524)
| ~ ssList(U_2525) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_408,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_465,plain,
app(cons('#skF_52',nil),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_446,c_408]) ).
tff(c_30480,plain,
( ( cons('#skF_52','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_30461,c_465]) ).
tff(c_30498,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_453,c_445,c_30480]) ).
tff(c_190,plain,
! [V_895,U_893] :
( ( tl(cons(V_895,U_893)) = U_893 )
| ~ ssItem(V_895)
| ~ ssList(U_893) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_30511,plain,
( ( tl('#skF_51') = '#skF_53' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_30498,c_190]) ).
tff(c_30531,plain,
'#skF_47'('#skF_51') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_453,c_445,c_6573,c_30511]) ).
tff(c_230,plain,
~ singletonP(nil),
inference(cnfTransformation,[status(thm)],[f_519]) ).
tff(c_6565,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_453,c_6448]) ).
tff(c_6648,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_6565]) ).
tff(c_513,plain,
! [U_1446] :
( ( app(nil,U_1446) = U_1446 )
| ~ ssList(U_1446) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_530,plain,
app(nil,'#skF_51') = '#skF_51',
inference(resolution,[status(thm)],[c_390,c_513]) ).
tff(c_6792,plain,
app('#skF_53','#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_6648,c_530]) ).
tff(c_6812,plain,
'#skF_53' != '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_6648,c_432]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_6599,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_6573,c_188]) ).
tff(c_6603,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_6599]) ).
tff(c_6604,plain,
ssList('#skF_47'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_432,c_6603]) ).
tff(c_330,plain,
! [U_1045] :
( ( hd(U_1045) = '#skF_46'(U_1045) )
| ( nil = U_1045 )
| ~ ssList(U_1045) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_6619,plain,
( ( hd('#skF_47'('#skF_51')) = '#skF_46'('#skF_47'('#skF_51')) )
| ( '#skF_47'('#skF_51') = nil ) ),
inference(resolution,[status(thm)],[c_6604,c_330]) ).
tff(c_7584,plain,
( ( hd('#skF_47'('#skF_51')) = '#skF_46'('#skF_47'('#skF_51')) )
| ( '#skF_47'('#skF_51') = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6648,c_6619]) ).
tff(c_7585,plain,
'#skF_47'('#skF_51') = '#skF_53',
inference(splitLeft,[status(thm)],[c_7584]) ).
tff(c_7590,plain,
tl('#skF_51') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_7585,c_6573]) ).
tff(c_340,plain,
! [U_1052] :
( ( cons(hd(U_1052),tl(U_1052)) = U_1052 )
| ( nil = U_1052 )
| ~ ssList(U_1052) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_8916,plain,
! [U_1835] :
( ( cons(hd(U_1835),tl(U_1835)) = U_1835 )
| ( U_1835 = '#skF_53' )
| ~ ssList(U_1835) ),
inference(demodulation,[status(thm),theory(equality)],[c_6648,c_340]) ).
tff(c_8953,plain,
( ( cons('#skF_46'('#skF_51'),tl('#skF_51')) = '#skF_51' )
| ( '#skF_53' = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_6447,c_8916]) ).
tff(c_8968,plain,
( ( cons('#skF_46'('#skF_51'),'#skF_53') = '#skF_51' )
| ( '#skF_53' = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_7590,c_8953]) ).
tff(c_8969,plain,
cons('#skF_46'('#skF_51'),'#skF_53') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_6812,c_8968]) ).
tff(c_6153,plain,
! [U_1724,V_1725] :
( neq(U_1724,V_1725)
| ( V_1725 = U_1724 )
| ~ ssList(V_1725)
| ~ ssList(U_1724) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_2953,plain,
! [U_1570] :
( ( hd(U_1570) = '#skF_46'(U_1570) )
| ( nil = U_1570 )
| ~ ssList(U_1570) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_3046,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_390,c_2953]) ).
tff(c_3084,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_432,c_3046]) ).
tff(c_3088,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_3084,c_184]) ).
tff(c_3092,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_3088]) ).
tff(c_3093,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_432,c_3092]) ).
tff(c_1014,plain,
! [U_1502] :
( ( tl(U_1502) = '#skF_47'(U_1502) )
| ( nil = U_1502 )
| ~ ssList(U_1502) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_1101,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_390,c_1014]) ).
tff(c_1133,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_432,c_1101]) ).
tff(c_1138,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_1133,c_188]) ).
tff(c_1142,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_1138]) ).
tff(c_1143,plain,
ssList('#skF_47'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_432,c_1142]) ).
tff(c_952,plain,
! [U_1500,V_1501] :
( ssList(app(U_1500,V_1501))
| ~ ssList(V_1501)
| ~ ssList(U_1500) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_386,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_398,plain,
( ( nil != '#skF_48' )
| ~ neq(nil,'#skF_49')
| ~ ssItem(hd('#skF_49'))
| ~ ssList(cons(hd('#skF_49'),nil))
| ~ ssList(tl('#skF_49'))
| ( app(tl('#skF_49'),cons(hd('#skF_49'),nil)) != '#skF_48' )
| ~ ssList(app(tl('#skF_49'),cons(hd('#skF_49'),nil))) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_416,plain,
( ( nil != '#skF_48' )
| ~ neq(nil,'#skF_51')
| ~ ssItem(hd('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51'))
| ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) != '#skF_48' )
| ~ ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_388,c_388,c_388,c_388,c_388,c_388,c_388,c_398]) ).
tff(c_422,plain,
( ( nil != '#skF_50' )
| ~ neq(nil,'#skF_51')
| ~ ssItem(hd('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51'))
| ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) != '#skF_50' )
| ~ ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_386,c_416]) ).
tff(c_564,plain,
~ ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))),
inference(splitLeft,[status(thm)],[c_422]) ).
tff(c_993,plain,
( ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51')) ),
inference(resolution,[status(thm)],[c_952,c_564]) ).
tff(c_3310,plain,
~ ssList(cons('#skF_46'('#skF_51'),nil)),
inference(demodulation,[status(thm),theory(equality)],[c_1143,c_1133,c_3084,c_993]) ).
tff(c_3313,plain,
( ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_3310]) ).
tff(c_3317,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_3093,c_3313]) ).
tff(c_3319,plain,
ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))),
inference(splitRight,[status(thm)],[c_422]) ).
tff(c_400,plain,
( ( nil = '#skF_49' )
| ~ neq(nil,'#skF_49')
| ~ ssItem(hd('#skF_49'))
| ~ ssList(cons(hd('#skF_49'),nil))
| ~ ssList(tl('#skF_49'))
| ( app(tl('#skF_49'),cons(hd('#skF_49'),nil)) != '#skF_48' )
| ~ ssList(app(tl('#skF_49'),cons(hd('#skF_49'),nil))) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_415,plain,
( ( nil = '#skF_51' )
| ~ neq(nil,'#skF_51')
| ~ ssItem(hd('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51'))
| ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) != '#skF_48' )
| ~ ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_388,c_388,c_388,c_388,c_388,c_388,c_388,c_388,c_400]) ).
tff(c_421,plain,
( ( nil = '#skF_51' )
| ~ neq(nil,'#skF_51')
| ~ ssItem(hd('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51'))
| ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) != '#skF_50' )
| ~ ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_415]) ).
tff(c_3365,plain,
( ~ neq(nil,'#skF_51')
| ~ ssItem(hd('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51'))
| ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) != '#skF_50' )
| ~ ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))) ),
inference(negUnitSimplification,[status(thm)],[c_432,c_421]) ).
tff(c_3366,plain,
~ ssList(app(tl('#skF_51'),cons(hd('#skF_51'),nil))),
inference(splitLeft,[status(thm)],[c_3365]) ).
tff(c_3482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3319,c_3366]) ).
tff(c_3483,plain,
( ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) != '#skF_50' )
| ~ ssList(tl('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssItem(hd('#skF_51'))
| ~ neq(nil,'#skF_51') ),
inference(splitRight,[status(thm)],[c_3365]) ).
tff(c_3633,plain,
~ neq(nil,'#skF_51'),
inference(splitLeft,[status(thm)],[c_3483]) ).
tff(c_6156,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_6153,c_3633]) ).
tff(c_6167,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_390,c_6156]) ).
tff(c_6169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_432,c_6167]) ).
tff(c_6170,plain,
( ~ ssItem(hd('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssList(tl('#skF_51'))
| ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) != '#skF_50' ) ),
inference(splitRight,[status(thm)],[c_3483]) ).
tff(c_9549,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_6792,c_8969,c_6447,c_6648,c_7590,c_453,c_7590,c_390,c_8969,c_6447,c_6648,c_6594,c_6447,c_6170]) ).
tff(c_346,plain,
! [V_1069,U_1067] :
( ( app(cons(V_1069,nil),U_1067) = cons(V_1069,U_1067) )
| ~ ssItem(V_1069)
| ~ ssList(U_1067) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_11327,plain,
! [V_1943,U_1944] :
( ( app(cons(V_1943,'#skF_53'),U_1944) = cons(V_1943,U_1944) )
| ~ ssItem(V_1943)
| ~ ssList(U_1944) ),
inference(demodulation,[status(thm),theory(equality)],[c_6648,c_346]) ).
tff(c_6805,plain,
app(cons('#skF_52','#skF_53'),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_6648,c_465]) ).
tff(c_11337,plain,
( ( cons('#skF_52','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_11327,c_6805]) ).
tff(c_11355,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_453,c_445,c_11337]) ).
tff(c_6795,plain,
app('#skF_53',cons('#skF_52','#skF_53')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_6648,c_508]) ).
tff(c_11362,plain,
app('#skF_53','#skF_51') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_11355,c_6795]) ).
tff(c_11480,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_11362,c_6792]) ).
tff(c_11482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9549,c_11480]) ).
tff(c_11484,plain,
'#skF_47'('#skF_51') != '#skF_53',
inference(splitRight,[status(thm)],[c_7584]) ).
tff(c_17982,plain,
! [V_2158,U_2159] :
( ( app(cons(V_2158,'#skF_53'),U_2159) = cons(V_2158,U_2159) )
| ~ ssItem(V_2158)
| ~ ssList(U_2159) ),
inference(demodulation,[status(thm),theory(equality)],[c_6648,c_346]) ).
tff(c_17992,plain,
( ( cons('#skF_52','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_17982,c_6805]) ).
tff(c_18007,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_453,c_445,c_17992]) ).
tff(c_18052,plain,
( ( tl('#skF_51') = '#skF_53' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_18007,c_190]) ).
tff(c_18085,plain,
'#skF_47'('#skF_51') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_453,c_445,c_6573,c_18052]) ).
tff(c_18087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11484,c_18085]) ).
tff(c_18089,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_6565]) ).
tff(c_6171,plain,
neq(nil,'#skF_51'),
inference(splitRight,[status(thm)],[c_3483]) ).
tff(c_3318,plain,
( ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) != '#skF_50' )
| ~ ssList(tl('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssItem(hd('#skF_51'))
| ~ neq(nil,'#skF_51')
| ( nil != '#skF_50' ) ),
inference(splitRight,[status(thm)],[c_422]) ).
tff(c_6182,plain,
( ( app(tl('#skF_51'),cons(hd('#skF_51'),nil)) != '#skF_50' )
| ~ ssList(tl('#skF_51'))
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ ssItem(hd('#skF_51'))
| ( nil != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6171,c_3318]) ).
tff(c_6183,plain,
nil != '#skF_50',
inference(splitLeft,[status(thm)],[c_6182]) ).
tff(c_6409,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_392,c_6322]) ).
tff(c_6444,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_6183,c_6409]) ).
tff(c_6439,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_453,c_6322]) ).
tff(c_18100,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_18089,c_6439]) ).
tff(c_29222,plain,
! [U_2503,V_2504] :
( ( hd(app(U_2503,V_2504)) = hd(U_2503) )
| ( nil = U_2503 )
| ~ ssList(V_2504)
| ~ ssList(U_2503) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_29363,plain,
( ( hd('#skF_53') = hd('#skF_50') )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_508,c_29222]) ).
tff(c_29508,plain,
( ( '#skF_46'('#skF_53') = '#skF_46'('#skF_50') )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_6444,c_18100,c_29363]) ).
tff(c_29509,plain,
( ( '#skF_46'('#skF_53') = '#skF_46'('#skF_50') )
| ~ ssList(cons('#skF_52',nil)) ),
inference(negUnitSimplification,[status(thm)],[c_18089,c_29508]) ).
tff(c_29524,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_29509]) ).
tff(c_29527,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_29524]) ).
tff(c_29531,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_445,c_29527]) ).
tff(c_29533,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_29509]) ).
tff(c_29378,plain,
( ( hd(cons('#skF_52',nil)) = hd('#skF_51') )
| ( cons('#skF_52',nil) = nil )
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52',nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_465,c_29222]) ).
tff(c_29523,plain,
( ( hd(cons('#skF_52',nil)) = '#skF_46'('#skF_51') )
| ( cons('#skF_52',nil) = nil )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_453,c_6447,c_29378]) ).
tff(c_29575,plain,
( ( hd(cons('#skF_52',nil)) = '#skF_46'('#skF_51') )
| ( cons('#skF_52',nil) = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29533,c_29523]) ).
tff(c_29576,plain,
cons('#skF_52',nil) = nil,
inference(splitLeft,[status(thm)],[c_29575]) ).
tff(c_26515,plain,
! [V_2425] :
( singletonP(cons(V_2425,nil))
| ~ ssItem(V_2425)
| ~ ssList(cons(V_2425,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_26522,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_26515]) ).
tff(c_26525,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_26522]) ).
tff(c_29584,plain,
( singletonP(nil)
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_29576,c_26525]) ).
tff(c_29625,plain,
singletonP(nil),
inference(demodulation,[status(thm),theory(equality)],[c_445,c_29584]) ).
tff(c_29627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_230,c_29625]) ).
tff(c_29628,plain,
hd(cons('#skF_52',nil)) = '#skF_46'('#skF_51'),
inference(splitRight,[status(thm)],[c_29575]) ).
tff(c_186,plain,
! [V_891,U_889] :
( ( hd(cons(V_891,U_889)) = V_891 )
| ~ ssItem(V_891)
| ~ ssList(U_889) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_29677,plain,
( ( '#skF_46'('#skF_51') = '#skF_52' )
| ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_29628,c_186]) ).
tff(c_29690,plain,
'#skF_46'('#skF_51') = '#skF_52',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_445,c_29677]) ).
tff(c_26849,plain,
( ~ ssList(cons('#skF_46'('#skF_51'),nil))
| ( app('#skF_47'('#skF_51'),cons('#skF_46'('#skF_51'),nil)) != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6447,c_6573,c_6604,c_6573,c_6447,c_6594,c_6447,c_6170]) ).
tff(c_26850,plain,
app('#skF_47'('#skF_51'),cons('#skF_46'('#skF_51'),nil)) != '#skF_50',
inference(splitLeft,[status(thm)],[c_26849]) ).
tff(c_29706,plain,
app('#skF_47'('#skF_51'),cons('#skF_52',nil)) != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_29690,c_26850]) ).
tff(c_30546,plain,
app('#skF_53',cons('#skF_52',nil)) != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_30531,c_29706]) ).
tff(c_30580,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_508,c_30546]) ).
tff(c_30581,plain,
~ ssList(cons('#skF_46'('#skF_51'),nil)),
inference(splitRight,[status(thm)],[c_26849]) ).
tff(c_30587,plain,
( ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_30581]) ).
tff(c_30591,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_6594,c_30587]) ).
tff(c_30592,plain,
nil = '#skF_50',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_30593,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_30608,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_30592,c_30593]) ).
tff(c_30620,plain,
( ssList('#skF_53')
| ~ neq('#skF_50','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_30608,c_30592,c_410]) ).
tff(c_30621,plain,
~ neq('#skF_50','#skF_50'),
inference(splitLeft,[status(thm)],[c_30620]) ).
tff(c_402,plain,
( ( nil != '#skF_48' )
| neq('#skF_49',nil) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_414,plain,
( ( nil != '#skF_48' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_402]) ).
tff(c_420,plain,
( ( nil != '#skF_50' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_414]) ).
tff(c_30637,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_30608,c_30592,c_30592,c_420]) ).
tff(c_30638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30621,c_30637]) ).
tff(c_30640,plain,
neq('#skF_50','#skF_50'),
inference(splitRight,[status(thm)],[c_30620]) ).
tff(c_30668,plain,
! [V_2541] :
( ~ neq(V_2541,V_2541)
| ~ ssList(V_2541) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_30671,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_30640,c_30668]) ).
tff(c_30675,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_392,c_30671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC310+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11 % 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
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Aug 3 21:40:26 EDT 2023
% 0.11/0.33 % CPUTime :
% 17.62/6.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.62/6.26
% 17.62/6.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.62/6.30
% 17.62/6.30 Inference rules
% 17.62/6.30 ----------------------
% 17.62/6.30 #Ref : 0
% 17.62/6.30 #Sup : 6683
% 17.62/6.30 #Fact : 0
% 17.62/6.30 #Define : 0
% 17.62/6.30 #Split : 172
% 17.62/6.30 #Chain : 0
% 17.62/6.30 #Close : 0
% 17.62/6.30
% 17.62/6.30 Ordering : KBO
% 17.62/6.30
% 17.62/6.30 Simplification rules
% 17.62/6.30 ----------------------
% 17.62/6.30 #Subsume : 820
% 17.62/6.30 #Demod : 5375
% 17.62/6.30 #Tautology : 2865
% 17.62/6.31 #SimpNegUnit : 608
% 17.62/6.31 #BackRed : 507
% 17.62/6.31
% 17.62/6.31 #Partial instantiations: 0
% 17.62/6.31 #Strategies tried : 1
% 17.62/6.31
% 17.62/6.31 Timing (in seconds)
% 17.62/6.31 ----------------------
% 17.62/6.31 Preprocessing : 0.88
% 17.62/6.31 Parsing : 0.41
% 17.62/6.31 CNF conversion : 0.11
% 17.62/6.31 Main loop : 4.37
% 17.62/6.31 Inferencing : 1.38
% 17.62/6.31 Reduction : 1.58
% 17.62/6.31 Demodulation : 1.15
% 17.62/6.31 BG Simplification : 0.12
% 17.62/6.31 Subsumption : 0.90
% 17.62/6.31 Abstraction : 0.11
% 17.62/6.31 MUC search : 0.00
% 17.62/6.31 Cooper : 0.00
% 17.62/6.31 Total : 5.33
% 17.62/6.31 Index Insertion : 0.00
% 17.62/6.31 Index Deletion : 0.00
% 17.62/6.31 Index Matching : 0.00
% 17.62/6.31 BG Taut test : 0.00
%------------------------------------------------------------------------------