TSTP Solution File: SWC098+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC098+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 : n028.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 11:01:08 EDT 2023
% Result : Theorem 8.42s 2.86s
% Output : CNFRefutation 8.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 79
% Syntax : Number of formulae : 126 ( 17 unt; 77 typ; 0 def)
% Number of atoms : 143 ( 61 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 179 ( 85 ~; 78 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 69 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 8 con; 0-2 aty)
% Number of variables : 27 (; 25 !; 2 ?; 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_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_52 > #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_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_52',type,
'#skF_52': $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_1041,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ? [Y] :
( ssItem(Y)
& ( cons(Y,nil) = U )
& ! [Z] :
( ssItem(Z)
=> ( ~ memberP(V,Z)
| ~ leq(Y,Z)
| ( Y = Z ) ) )
& memberP(V,Y) )
| ( ( nil = V )
& ( nil = U ) )
| ( ! [X1] :
( ssItem(X1)
=> ( ( cons(X1,nil) != W )
| ~ memberP(X,X1)
| ? [X2] :
( ssItem(X2)
& ( X1 != X2 )
& memberP(X,X2)
& leq(X1,X2) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_327,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) != U ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
tff(c_392,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_404,plain,
( ssItem('#skF_53')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_442,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_404]) ).
tff(c_412,plain,
( ssItem('#skF_53')
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_457,plain,
( ssItem('#skF_53')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_442,c_412]) ).
tff(c_458,plain,
'#skF_51' = '#skF_50',
inference(splitLeft,[status(thm)],[c_457]) ).
tff(c_388,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_386,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_384,plain,
( ( nil != '#skF_48' )
| ( nil != '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_433,plain,
( ( nil != '#skF_50' )
| ( nil != '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_386,c_384]) ).
tff(c_472,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_458,c_442,c_442,c_433]) ).
tff(c_473,plain,
ssItem('#skF_53'),
inference(splitRight,[status(thm)],[c_457]) ).
tff(c_474,plain,
'#skF_51' != '#skF_50',
inference(splitRight,[status(thm)],[c_457]) ).
tff(c_410,plain,
( ( cons('#skF_53',nil) = '#skF_50' )
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_496,plain,
( ( cons('#skF_53','#skF_50') = '#skF_50' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_442,c_442,c_410]) ).
tff(c_497,plain,
cons('#skF_53','#skF_50') = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_474,c_496]) ).
tff(c_903,plain,
! [V_1297,U_1298] :
( ( cons(V_1297,U_1298) != U_1298 )
| ~ ssItem(V_1297)
| ~ ssList(U_1298) ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_905,plain,
( ~ ssItem('#skF_53')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_497,c_903]) ).
tff(c_909,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_392,c_473,c_905]) ).
tff(c_910,plain,
ssItem('#skF_53'),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_911,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_402,plain,
( ( cons('#skF_53',nil) = '#skF_50' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_929,plain,
cons('#skF_53',nil) = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_911,c_402]) ).
tff(c_400,plain,
( memberP('#skF_51','#skF_53')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_917,plain,
memberP('#skF_51','#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_911,c_400]) ).
tff(c_420,plain,
! [Y_1223] :
( ssItem('#skF_52'(Y_1223))
| ~ memberP('#skF_49',Y_1223)
| ( cons(Y_1223,nil) != '#skF_48' )
| ~ ssItem(Y_1223) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_422,plain,
! [Y_1223] :
( ssItem('#skF_52'(Y_1223))
| ~ memberP('#skF_51',Y_1223)
| ( cons(Y_1223,nil) != '#skF_48' )
| ~ ssItem(Y_1223) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_420]) ).
tff(c_428,plain,
! [Y_1223] :
( ssItem('#skF_52'(Y_1223))
| ~ memberP('#skF_51',Y_1223)
| ( cons(Y_1223,nil) != '#skF_50' )
| ~ ssItem(Y_1223) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_422]) ).
tff(c_414,plain,
! [Y_1223] :
( ( '#skF_52'(Y_1223) != Y_1223 )
| ~ memberP('#skF_49',Y_1223)
| ( cons(Y_1223,nil) != '#skF_48' )
| ~ ssItem(Y_1223) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_423,plain,
! [Y_1223] :
( ( '#skF_52'(Y_1223) != Y_1223 )
| ~ memberP('#skF_51',Y_1223)
| ( cons(Y_1223,nil) != '#skF_48' )
| ~ ssItem(Y_1223) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_414]) ).
tff(c_1128,plain,
! [Y_1338] :
( ( '#skF_52'(Y_1338) != Y_1338 )
| ~ memberP('#skF_51',Y_1338)
| ( cons(Y_1338,nil) != '#skF_50' )
| ~ ssItem(Y_1338) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_423]) ).
tff(c_1131,plain,
( ( '#skF_52'('#skF_53') != '#skF_53' )
| ( cons('#skF_53',nil) != '#skF_50' )
| ~ ssItem('#skF_53') ),
inference(resolution,[status(thm)],[c_917,c_1128]) ).
tff(c_1134,plain,
'#skF_52'('#skF_53') != '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_910,c_929,c_1131]) ).
tff(c_416,plain,
! [Y_1223] :
( leq(Y_1223,'#skF_52'(Y_1223))
| ~ memberP('#skF_49',Y_1223)
| ( cons(Y_1223,nil) != '#skF_48' )
| ~ ssItem(Y_1223) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_424,plain,
! [Y_1223] :
( leq(Y_1223,'#skF_52'(Y_1223))
| ~ memberP('#skF_51',Y_1223)
| ( cons(Y_1223,nil) != '#skF_48' )
| ~ ssItem(Y_1223) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_416]) ).
tff(c_430,plain,
! [Y_1223] :
( leq(Y_1223,'#skF_52'(Y_1223))
| ~ memberP('#skF_51',Y_1223)
| ( cons(Y_1223,nil) != '#skF_50' )
| ~ ssItem(Y_1223) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_424]) ).
tff(c_418,plain,
! [Y_1223] :
( memberP('#skF_49','#skF_52'(Y_1223))
| ~ memberP('#skF_49',Y_1223)
| ( cons(Y_1223,nil) != '#skF_48' )
| ~ ssItem(Y_1223) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_425,plain,
! [Y_1223] :
( memberP('#skF_51','#skF_52'(Y_1223))
| ~ memberP('#skF_51',Y_1223)
| ( cons(Y_1223,nil) != '#skF_48' )
| ~ ssItem(Y_1223) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_388,c_418]) ).
tff(c_1257,plain,
! [Y_1357] :
( memberP('#skF_51','#skF_52'(Y_1357))
| ~ memberP('#skF_51',Y_1357)
| ( cons(Y_1357,nil) != '#skF_50' )
| ~ ssItem(Y_1357) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_425]) ).
tff(c_398,plain,
! [X2_1226] :
( ~ leq('#skF_53',X2_1226)
| ~ memberP('#skF_51',X2_1226)
| ( X2_1226 = '#skF_53' )
| ~ ssItem(X2_1226)
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1041]) ).
tff(c_1018,plain,
! [X2_1226] :
( ~ leq('#skF_53',X2_1226)
| ~ memberP('#skF_51',X2_1226)
| ( X2_1226 = '#skF_53' )
| ~ ssItem(X2_1226) ),
inference(negUnitSimplification,[status(thm)],[c_911,c_398]) ).
tff(c_2022,plain,
! [Y_1385] :
( ~ leq('#skF_53','#skF_52'(Y_1385))
| ( '#skF_52'(Y_1385) = '#skF_53' )
| ~ ssItem('#skF_52'(Y_1385))
| ~ memberP('#skF_51',Y_1385)
| ( cons(Y_1385,nil) != '#skF_50' )
| ~ ssItem(Y_1385) ),
inference(resolution,[status(thm)],[c_1257,c_1018]) ).
tff(c_2026,plain,
( ( '#skF_52'('#skF_53') = '#skF_53' )
| ~ ssItem('#skF_52'('#skF_53'))
| ~ memberP('#skF_51','#skF_53')
| ( cons('#skF_53',nil) != '#skF_50' )
| ~ ssItem('#skF_53') ),
inference(resolution,[status(thm)],[c_430,c_2022]) ).
tff(c_2029,plain,
( ( '#skF_52'('#skF_53') = '#skF_53' )
| ~ ssItem('#skF_52'('#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_910,c_929,c_917,c_2026]) ).
tff(c_2030,plain,
~ ssItem('#skF_52'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_1134,c_2029]) ).
tff(c_2033,plain,
( ~ memberP('#skF_51','#skF_53')
| ( cons('#skF_53',nil) != '#skF_50' )
| ~ ssItem('#skF_53') ),
inference(resolution,[status(thm)],[c_428,c_2030]) ).
tff(c_2037,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_910,c_929,c_917,c_2033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC098+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % 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
% 0.18/0.36 % Computer : n028.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Thu Aug 3 21:46:54 EDT 2023
% 0.18/0.36 % CPUTime :
% 8.42/2.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.42/2.87
% 8.42/2.87 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.42/2.90
% 8.42/2.90 Inference rules
% 8.42/2.90 ----------------------
% 8.42/2.90 #Ref : 0
% 8.42/2.90 #Sup : 329
% 8.42/2.90 #Fact : 0
% 8.42/2.90 #Define : 0
% 8.42/2.90 #Split : 5
% 8.42/2.90 #Chain : 0
% 8.42/2.90 #Close : 0
% 8.42/2.90
% 8.42/2.90 Ordering : KBO
% 8.42/2.90
% 8.42/2.90 Simplification rules
% 8.42/2.90 ----------------------
% 8.42/2.90 #Subsume : 15
% 8.42/2.90 #Demod : 228
% 8.42/2.90 #Tautology : 105
% 8.42/2.90 #SimpNegUnit : 11
% 8.42/2.90 #BackRed : 55
% 8.42/2.90
% 8.42/2.90 #Partial instantiations: 0
% 8.42/2.90 #Strategies tried : 1
% 8.42/2.90
% 8.42/2.90 Timing (in seconds)
% 8.42/2.90 ----------------------
% 8.42/2.91 Preprocessing : 0.90
% 8.42/2.91 Parsing : 0.41
% 8.42/2.91 CNF conversion : 0.12
% 8.42/2.91 Main loop : 0.84
% 8.42/2.91 Inferencing : 0.25
% 8.42/2.91 Reduction : 0.28
% 8.42/2.91 Demodulation : 0.19
% 8.42/2.91 BG Simplification : 0.07
% 8.42/2.91 Subsumption : 0.17
% 8.42/2.91 Abstraction : 0.03
% 8.42/2.91 MUC search : 0.00
% 8.42/2.91 Cooper : 0.00
% 8.42/2.91 Total : 1.80
% 8.42/2.91 Index Insertion : 0.00
% 8.42/2.91 Index Deletion : 0.00
% 8.42/2.91 Index Matching : 0.00
% 8.42/2.91 BG Taut test : 0.00
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