TSTP Solution File: SWC008+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC008+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/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 : n026.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 11:00:42 EDT 2023
% Result : Theorem 16.98s 5.56s
% Output : CNFRefutation 16.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 79
% Syntax : Number of formulae : 99 ( 10 unt; 75 typ; 0 def)
% Number of atoms : 82 ( 23 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 107 ( 49 ~; 41 |; 9 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 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 : 56 ( 56 usr; 7 con; 0-2 aty)
% Number of variables : 30 (; 25 !; 5 ?; 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_34 > #skF_29 > #skF_15 > #skF_32 > #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_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_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_1024,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ~ frontsegP(X,W)
| ~ equalelemsP(W)
| ? [Y] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& ( app(app(Y,Z),X1) = V )
& ( app(Y,X1) = U ) ) ) )
| ? [X2] :
( ssList(X2)
& neq(W,X2)
& frontsegP(X,X2)
& segmentP(X2,W)
& equalelemsP(X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
tff(f_108,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( frontsegP(U,V)
<=> ? [W] :
( ssList(W)
& ( app(V,W) = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(c_396,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_437,plain,
! [U_1277] :
( ( app(U_1277,nil) = U_1277 )
| ~ ssList(U_1277) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_448,plain,
app('#skF_51',nil) = '#skF_51',
inference(resolution,[status(thm)],[c_396,c_437]) ).
tff(c_390,plain,
frontsegP('#skF_51','#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_398,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_30,plain,
! [U_34,V_40] :
( ssList('#skF_6'(U_34,V_40))
| ~ frontsegP(U_34,V_40)
| ~ ssList(V_40)
| ~ ssList(U_34) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_449,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_398,c_437]) ).
tff(c_6486,plain,
! [V_1603,U_1604] :
( ( app(V_1603,'#skF_6'(U_1604,V_1603)) = U_1604 )
| ~ frontsegP(U_1604,V_1603)
| ~ ssList(V_1603)
| ~ ssList(U_1604) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_394,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_392,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_386,plain,
! [Y_1253,X1_1259,Z_1257] :
( ( app(Y_1253,X1_1259) != '#skF_48' )
| ( app(app(Y_1253,Z_1257),X1_1259) != '#skF_49' )
| ~ ssList(X1_1259)
| ~ ssList(Z_1257)
| ~ ssList(Y_1253) ),
inference(cnfTransformation,[status(thm)],[f_1024]) ).
tff(c_407,plain,
! [Y_1253,X1_1259,Z_1257] :
( ( app(Y_1253,X1_1259) != '#skF_50' )
| ( app(app(Y_1253,Z_1257),X1_1259) != '#skF_51' )
| ~ ssList(X1_1259)
| ~ ssList(Z_1257)
| ~ ssList(Y_1253) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_392,c_386]) ).
tff(c_6619,plain,
! [V_1608,X1_1609,U_1610] :
( ( app(V_1608,X1_1609) != '#skF_50' )
| ( app(U_1610,X1_1609) != '#skF_51' )
| ~ ssList(X1_1609)
| ~ ssList('#skF_6'(U_1610,V_1608))
| ~ ssList(V_1608)
| ~ frontsegP(U_1610,V_1608)
| ~ ssList(V_1608)
| ~ ssList(U_1610) ),
inference(superposition,[status(thm),theory(equality)],[c_6486,c_407]) ).
tff(c_6737,plain,
! [U_1610] :
( ( app(U_1610,nil) != '#skF_51' )
| ~ ssList(nil)
| ~ ssList('#skF_6'(U_1610,'#skF_50'))
| ~ frontsegP(U_1610,'#skF_50')
| ~ ssList('#skF_50')
| ~ ssList(U_1610) ),
inference(superposition,[status(thm),theory(equality)],[c_449,c_6619]) ).
tff(c_13245,plain,
! [U_1714] :
( ( app(U_1714,nil) != '#skF_51' )
| ~ ssList('#skF_6'(U_1714,'#skF_50'))
| ~ frontsegP(U_1714,'#skF_50')
| ~ ssList(U_1714) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_168,c_6737]) ).
tff(c_13249,plain,
! [U_34] :
( ( app(U_34,nil) != '#skF_51' )
| ~ frontsegP(U_34,'#skF_50')
| ~ ssList('#skF_50')
| ~ ssList(U_34) ),
inference(resolution,[status(thm)],[c_30,c_13245]) ).
tff(c_13253,plain,
! [U_1715] :
( ( app(U_1715,nil) != '#skF_51' )
| ~ frontsegP(U_1715,'#skF_50')
| ~ ssList(U_1715) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_13249]) ).
tff(c_13279,plain,
( ( app('#skF_51',nil) != '#skF_51' )
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_390,c_13253]) ).
tff(c_13301,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_448,c_13279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC008+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % 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
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 3 21:44:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 16.98/5.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.98/5.57
% 16.98/5.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.98/5.60
% 16.98/5.60 Inference rules
% 16.98/5.60 ----------------------
% 16.98/5.60 #Ref : 2
% 16.98/5.60 #Sup : 2814
% 16.98/5.60 #Fact : 0
% 16.98/5.60 #Define : 0
% 16.98/5.60 #Split : 35
% 16.98/5.60 #Chain : 0
% 16.98/5.60 #Close : 0
% 16.98/5.60
% 16.98/5.60 Ordering : KBO
% 16.98/5.60
% 16.98/5.60 Simplification rules
% 16.98/5.60 ----------------------
% 16.98/5.60 #Subsume : 433
% 16.98/5.60 #Demod : 2221
% 16.98/5.60 #Tautology : 644
% 16.98/5.60 #SimpNegUnit : 169
% 16.98/5.60 #BackRed : 59
% 16.98/5.60
% 16.98/5.60 #Partial instantiations: 0
% 16.98/5.60 #Strategies tried : 1
% 16.98/5.60
% 16.98/5.60 Timing (in seconds)
% 16.98/5.60 ----------------------
% 16.98/5.60 Preprocessing : 0.98
% 16.98/5.60 Parsing : 0.45
% 16.98/5.60 CNF conversion : 0.13
% 16.98/5.60 Main loop : 3.48
% 16.98/5.60 Inferencing : 0.97
% 16.98/5.60 Reduction : 1.26
% 16.98/5.60 Demodulation : 0.90
% 16.98/5.60 BG Simplification : 0.12
% 16.98/5.60 Subsumption : 0.87
% 16.98/5.60 Abstraction : 0.08
% 16.98/5.60 MUC search : 0.00
% 16.98/5.60 Cooper : 0.00
% 16.98/5.60 Total : 4.51
% 16.98/5.60 Index Insertion : 0.00
% 16.98/5.60 Index Deletion : 0.00
% 16.98/5.60 Index Matching : 0.00
% 16.98/5.60 BG Taut test : 0.00
%------------------------------------------------------------------------------