TSTP Solution File: SWC022+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC022+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 : n002.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 11:00:47 EDT 2023
% Result : Theorem 13.45s 4.17s
% Output : CNFRefutation 13.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 89
% Syntax : Number of formulae : 195 ( 56 unt; 75 typ; 0 def)
% Number of atoms : 269 ( 96 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 262 ( 113 ~; 108 |; 12 &)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 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 : 60 (; 54 !; 6 ?; 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_319,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_1026,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ( ( ~ neq(V,nil)
| ? [Y] :
( ssList(Y)
& neq(Y,nil)
& frontsegP(V,Y)
& frontsegP(U,Y) )
| ? [Z] :
( ssList(Z)
& ( W != Z )
& ? [X1] :
( ssItem(X1)
& ( cons(X1,nil) = Z )
& ( hd(X) = X1 )
& neq(nil,X) ) ) )
& ( ~ neq(V,nil)
| neq(X,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
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_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_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
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_318,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ssList(cons(V,U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
tff(f_364,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( nil != cons(V,U) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
tff(f_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
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(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_803,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ( cons(hd(U),tl(U)) = U ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_388,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1026]) ).
tff(c_4468,plain,
! [U_1511] :
( ( hd(U_1511) = '#skF_46'(U_1511) )
| ( nil = U_1511 )
| ~ ssList(U_1511) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_4572,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_4468]) ).
tff(c_4574,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_4572]) ).
tff(c_386,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1026]) ).
tff(c_406,plain,
neq('#skF_49',nil),
inference(cnfTransformation,[status(thm)],[f_1026]) ).
tff(c_412,plain,
neq('#skF_51',nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_406]) ).
tff(c_4607,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_4574,c_412]) ).
tff(c_164,plain,
! [V_858] :
( ~ neq(V_858,V_858)
| ~ ssList(V_858) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_4630,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_4607,c_164]) ).
tff(c_4637,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_4630]) ).
tff(c_4638,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(splitRight,[status(thm)],[c_4572]) ).
tff(c_4040,plain,
! [U_1458] :
( ssItem(hd(U_1458))
| ( nil = U_1458 )
| ~ ssList(U_1458) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_2003,plain,
! [U_1353] :
( ( tl(U_1353) = '#skF_47'(U_1353) )
| ( nil = U_1353 )
| ~ ssList(U_1353) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_2119,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_2003]) ).
tff(c_2121,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_2119]) ).
tff(c_2157,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_2121,c_412]) ).
tff(c_2317,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_2157,c_164]) ).
tff(c_2324,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_2317]) ).
tff(c_2326,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_2119]) ).
tff(c_3711,plain,
! [U_1415,V_1416] :
( neq(U_1415,V_1416)
| ( V_1416 = U_1415 )
| ~ ssList(V_1416)
| ~ ssList(U_1415) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_898,plain,
! [U_1266] :
( ( hd(U_1266) = '#skF_46'(U_1266) )
| ( nil = U_1266 )
| ~ ssList(U_1266) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_1002,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_898]) ).
tff(c_1004,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_1002]) ).
tff(c_1036,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_1004,c_412]) ).
tff(c_1105,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_1036,c_164]) ).
tff(c_1110,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_1105]) ).
tff(c_1112,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_1002]) ).
tff(c_1111,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(splitRight,[status(thm)],[c_1002]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_1118,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_1111,c_184]) ).
tff(c_1122,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_1118]) ).
tff(c_1123,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_1112,c_1122]) ).
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_396,plain,
( ~ neq(nil,'#skF_51')
| ~ ssItem(hd('#skF_51'))
| ( cons(hd('#skF_51'),nil) = '#skF_50' )
| ~ ssList(cons(hd('#skF_51'),nil))
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1026]) ).
tff(c_417,plain,
( ~ neq(nil,'#skF_51')
| ~ ssItem(hd('#skF_51'))
| ( cons(hd('#skF_51'),nil) = '#skF_50' )
| ~ ssList(cons(hd('#skF_51'),nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_412,c_396]) ).
tff(c_431,plain,
~ ssList(cons(hd('#skF_51'),nil)),
inference(splitLeft,[status(thm)],[c_417]) ).
tff(c_1114,plain,
~ ssList(cons('#skF_46'('#skF_51'),nil)),
inference(demodulation,[status(thm),theory(equality)],[c_1111,c_431]) ).
tff(c_1326,plain,
( ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_1114]) ).
tff(c_1330,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_1123,c_1326]) ).
tff(c_1331,plain,
( ~ ssItem(hd('#skF_51'))
| ~ neq(nil,'#skF_51')
| ( cons(hd('#skF_51'),nil) = '#skF_50' ) ),
inference(splitRight,[status(thm)],[c_417]) ).
tff(c_1344,plain,
~ neq(nil,'#skF_51'),
inference(splitLeft,[status(thm)],[c_1331]) ).
tff(c_3718,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_3711,c_1344]) ).
tff(c_3732,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_388,c_3718]) ).
tff(c_3734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2326,c_3732]) ).
tff(c_3735,plain,
( ~ ssItem(hd('#skF_51'))
| ( cons(hd('#skF_51'),nil) = '#skF_50' ) ),
inference(splitRight,[status(thm)],[c_1331]) ).
tff(c_3767,plain,
~ ssItem(hd('#skF_51')),
inference(splitLeft,[status(thm)],[c_3735]) ).
tff(c_4043,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_4040,c_3767]) ).
tff(c_4046,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_4043]) ).
tff(c_4078,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_4046,c_412]) ).
tff(c_4096,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_4078,c_164]) ).
tff(c_4103,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_4096]) ).
tff(c_4105,plain,
ssItem(hd('#skF_51')),
inference(splitRight,[status(thm)],[c_3735]) ).
tff(c_4641,plain,
ssItem('#skF_46'('#skF_51')),
inference(demodulation,[status(thm),theory(equality)],[c_4638,c_4105]) ).
tff(c_4104,plain,
cons(hd('#skF_51'),nil) = '#skF_50',
inference(splitRight,[status(thm)],[c_3735]) ).
tff(c_4640,plain,
cons('#skF_46'('#skF_51'),nil) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_4638,c_4104]) ).
tff(c_4692,plain,
! [V_1514,U_1515] :
( ( cons(V_1514,U_1515) != nil )
| ~ ssItem(V_1514)
| ~ ssList(U_1515) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_4694,plain,
( ( nil != '#skF_50' )
| ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_4640,c_4692]) ).
tff(c_4696,plain,
nil != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_4641,c_4694]) ).
tff(c_390,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1026]) ).
tff(c_3737,plain,
! [U_1417] :
( ( app(U_1417,nil) = U_1417 )
| ~ ssList(U_1417) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_3753,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_390,c_3737]) ).
tff(c_11048,plain,
! [V_1814,W_1815] :
( frontsegP(app(V_1814,W_1815),V_1814)
| ~ ssList(W_1815)
| ~ ssList(V_1814)
| ~ ssList(app(V_1814,W_1815)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_11230,plain,
( frontsegP('#skF_50','#skF_50')
| ~ ssList(nil)
| ~ ssList('#skF_50')
| ~ ssList(app('#skF_50',nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_3753,c_11048]) ).
tff(c_11348,plain,
frontsegP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_3753,c_390,c_168,c_11230]) ).
tff(c_4639,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_4572]) ).
tff(c_5001,plain,
! [U_1524] :
( ( tl(U_1524) = '#skF_47'(U_1524) )
| ( nil = U_1524 )
| ~ ssList(U_1524) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_5082,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_5001]) ).
tff(c_5115,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_4639,c_5082]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_5122,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_5115,c_188]) ).
tff(c_5126,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_5122]) ).
tff(c_5127,plain,
ssList('#skF_47'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_4639,c_5126]) ).
tff(c_4573,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_4468]) ).
tff(c_4697,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_4696,c_4573]) ).
tff(c_4701,plain,
( ssItem('#skF_46'('#skF_50'))
| ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_4697,c_184]) ).
tff(c_4705,plain,
( ssItem('#skF_46'('#skF_50'))
| ( nil = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_4701]) ).
tff(c_4706,plain,
ssItem('#skF_46'('#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_4696,c_4705]) ).
tff(c_5373,plain,
! [V_1541,U_1542] :
( ( hd(cons(V_1541,U_1542)) = V_1541 )
| ~ ssItem(V_1541)
| ~ ssList(U_1542) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_5388,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_51') )
| ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_4640,c_5373]) ).
tff(c_5394,plain,
'#skF_46'('#skF_51') = '#skF_46'('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_4641,c_4697,c_5388]) ).
tff(c_5396,plain,
cons('#skF_46'('#skF_50'),nil) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_5394,c_4640]) ).
tff(c_9856,plain,
! [V_1716,U_1717] :
( ( app(cons(V_1716,nil),U_1717) = cons(V_1716,U_1717) )
| ~ ssItem(V_1716)
| ~ ssList(U_1717) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_9875,plain,
! [U_1717] :
( ( cons('#skF_46'('#skF_50'),U_1717) = app('#skF_50',U_1717) )
| ~ ssItem('#skF_46'('#skF_50'))
| ~ ssList(U_1717) ),
inference(superposition,[status(thm),theory(equality)],[c_5396,c_9856]) ).
tff(c_9883,plain,
! [U_1718] :
( ( cons('#skF_46'('#skF_50'),U_1718) = app('#skF_50',U_1718) )
| ~ ssList(U_1718) ),
inference(demodulation,[status(thm),theory(equality)],[c_4706,c_9875]) ).
tff(c_5398,plain,
hd('#skF_51') = '#skF_46'('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_5394,c_4638]) ).
tff(c_7412,plain,
! [U_1635] :
( ( cons(hd(U_1635),tl(U_1635)) = U_1635 )
| ( nil = U_1635 )
| ~ ssList(U_1635) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_7455,plain,
( ( cons(hd('#skF_51'),'#skF_47'('#skF_51')) = '#skF_51' )
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_5115,c_7412]) ).
tff(c_7476,plain,
( ( cons('#skF_46'('#skF_50'),'#skF_47'('#skF_51')) = '#skF_51' )
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_5398,c_7455]) ).
tff(c_7477,plain,
cons('#skF_46'('#skF_50'),'#skF_47'('#skF_51')) = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_4639,c_7476]) ).
tff(c_9897,plain,
( ( app('#skF_50','#skF_47'('#skF_51')) = '#skF_51' )
| ~ ssList('#skF_47'('#skF_51')) ),
inference(superposition,[status(thm),theory(equality)],[c_9883,c_7477]) ).
tff(c_9960,plain,
app('#skF_50','#skF_47'('#skF_51')) = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_5127,c_9897]) ).
tff(c_11062,plain,
( frontsegP('#skF_51','#skF_50')
| ~ ssList('#skF_47'('#skF_51'))
| ~ ssList('#skF_50')
| ~ ssList(app('#skF_50','#skF_47'('#skF_51'))) ),
inference(superposition,[status(thm),theory(equality)],[c_9960,c_11048]) ).
tff(c_11238,plain,
frontsegP('#skF_51','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_9960,c_390,c_5127,c_11062]) ).
tff(c_5352,plain,
! [U_1538,V_1539] :
( neq(U_1538,V_1539)
| ( V_1539 = U_1538 )
| ~ ssList(V_1539)
| ~ ssList(U_1538) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_384,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1026]) ).
tff(c_398,plain,
! [Y_1193] :
( ~ frontsegP('#skF_48',Y_1193)
| ~ frontsegP('#skF_49',Y_1193)
| ~ neq(Y_1193,nil)
| ~ ssList(Y_1193)
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1026]) ).
tff(c_411,plain,
! [Y_1193] :
( ~ frontsegP('#skF_48',Y_1193)
| ~ frontsegP('#skF_51',Y_1193)
| ~ neq(Y_1193,nil)
| ~ ssList(Y_1193)
| ~ neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_398]) ).
tff(c_415,plain,
! [Y_1193] :
( ~ frontsegP('#skF_48',Y_1193)
| ~ frontsegP('#skF_51',Y_1193)
| ~ neq(Y_1193,nil)
| ~ ssList(Y_1193) ),
inference(demodulation,[status(thm),theory(equality)],[c_412,c_411]) ).
tff(c_419,plain,
! [Y_1193] :
( ~ frontsegP('#skF_50',Y_1193)
| ~ frontsegP('#skF_51',Y_1193)
| ~ neq(Y_1193,nil)
| ~ ssList(Y_1193) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_415]) ).
tff(c_5356,plain,
! [U_1538] :
( ~ frontsegP('#skF_50',U_1538)
| ~ frontsegP('#skF_51',U_1538)
| ( nil = U_1538 )
| ~ ssList(nil)
| ~ ssList(U_1538) ),
inference(resolution,[status(thm)],[c_5352,c_419]) ).
tff(c_5367,plain,
! [U_1538] :
( ~ frontsegP('#skF_50',U_1538)
| ~ frontsegP('#skF_51',U_1538)
| ( nil = U_1538 )
| ~ ssList(U_1538) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5356]) ).
tff(c_11393,plain,
( ~ frontsegP('#skF_50','#skF_50')
| ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_11238,c_5367]) ).
tff(c_11399,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_11348,c_11393]) ).
tff(c_11401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4696,c_11399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC022+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % 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
% 0.14/0.36 % Computer : n002.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 21:44:16 EDT 2023
% 0.14/0.36 % CPUTime :
% 13.45/4.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.45/4.19
% 13.45/4.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.45/4.23
% 13.45/4.23 Inference rules
% 13.45/4.23 ----------------------
% 13.45/4.23 #Ref : 0
% 13.45/4.23 #Sup : 2357
% 13.45/4.23 #Fact : 0
% 13.45/4.23 #Define : 0
% 13.45/4.23 #Split : 48
% 13.45/4.23 #Chain : 0
% 13.45/4.23 #Close : 0
% 13.45/4.23
% 13.45/4.23 Ordering : KBO
% 13.45/4.23
% 13.45/4.23 Simplification rules
% 13.45/4.23 ----------------------
% 13.45/4.23 #Subsume : 237
% 13.45/4.23 #Demod : 1638
% 13.45/4.23 #Tautology : 834
% 13.45/4.23 #SimpNegUnit : 135
% 13.45/4.23 #BackRed : 358
% 13.45/4.23
% 13.45/4.23 #Partial instantiations: 0
% 13.45/4.23 #Strategies tried : 1
% 13.45/4.23
% 13.45/4.23 Timing (in seconds)
% 13.45/4.23 ----------------------
% 13.45/4.23 Preprocessing : 0.88
% 13.45/4.23 Parsing : 0.42
% 13.45/4.23 CNF conversion : 0.11
% 13.45/4.23 Main loop : 2.24
% 13.45/4.23 Inferencing : 0.79
% 13.45/4.23 Reduction : 0.69
% 13.45/4.23 Demodulation : 0.47
% 13.45/4.23 BG Simplification : 0.10
% 13.45/4.23 Subsumption : 0.49
% 13.45/4.23 Abstraction : 0.07
% 13.45/4.24 MUC search : 0.00
% 13.45/4.24 Cooper : 0.00
% 13.45/4.24 Total : 3.20
% 13.45/4.24 Index Insertion : 0.00
% 13.45/4.24 Index Deletion : 0.00
% 13.45/4.24 Index Matching : 0.00
% 13.45/4.24 BG Taut test : 0.00
%------------------------------------------------------------------------------