%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWC219+1 : TPTP v9.0.0. 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 : n018.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 : Wed Apr 9 09:19:40 PM UTC 2025
% Result : Theorem 26.22s 12.02s
% Output : CNFRefutation 26.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 212 ( 78 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 261 ( 113 ~; 118 |; 10 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 8 con; 0-3 aty)
% Number of variables : 69 ( 63 !; 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_52 > #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_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_52',type,
'#skF_52': ( $i * $i * $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_319,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_1046,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ( nil = U )
| ? [Y] :
( ssItem(Y)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& ( app(app(Z,cons(Y,nil)),X1) = U )
& ! [X2] :
( ssItem(X2)
=> ( ~ memberP(Z,X2)
| ~ memberP(X1,X2)
| ~ leq(Y,X2)
| leq(X2,Y) ) ) ) ) )
| ( ! [X3] :
( ssItem(X3)
=> ( ( cons(X3,nil) != W )
| ~ memberP(X,X3)
| ? [X4] :
( ssItem(X4)
& ( X3 != X4 )
& memberP(X,X4)
& leq(X4,X3) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
tff(f_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
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_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
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_879,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil != U )
=> ( tl(app(U,V)) = app(tl(U),V) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
tff(f_517,axiom,
! [U] :
( ssItem(U)
=> ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
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(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_392,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_489,plain,
! [U_1433] :
( ( app(U_1433,nil) = U_1433 )
| ~ ssList(U_1433) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_502,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_392,c_489]) ).
tff(c_386,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_384,plain,
nil != '#skF_48',
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_432,plain,
nil != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_386,c_384]) ).
tff(c_402,plain,
( ( cons('#skF_53',nil) = '#skF_50' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_433,plain,
cons('#skF_53',nil) = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_432,c_402]) ).
tff(c_404,plain,
( ssItem('#skF_53')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_436,plain,
ssItem('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_432,c_404]) ).
tff(c_472,plain,
! [U_1432] :
( ( app(nil,U_1432) = U_1432 )
| ~ ssList(U_1432) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_484,plain,
app(nil,'#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_392,c_472]) ).
tff(c_1434,plain,
! [U_1515] :
( ( tl(U_1515) = '#skF_47'(U_1515) )
| ( nil = U_1515 )
| ~ ssList(U_1515) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_1515,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_392,c_1434]) ).
tff(c_1547,plain,
tl('#skF_50') = '#skF_47'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_432,c_1515]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_1581,plain,
( ssList('#skF_47'('#skF_50'))
| ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_1547,c_188]) ).
tff(c_1585,plain,
( ssList('#skF_47'('#skF_50'))
| ( nil = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_1581]) ).
tff(c_1586,plain,
ssList('#skF_47'('#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_432,c_1585]) ).
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_1605,plain,
( ( hd('#skF_47'('#skF_50')) = '#skF_46'('#skF_47'('#skF_50')) )
| ( '#skF_47'('#skF_50') = nil ) ),
inference(resolution,[status(thm)],[c_1586,c_330]) ).
tff(c_1661,plain,
'#skF_47'('#skF_50') = nil,
inference(splitLeft,[status(thm)],[c_1605]) ).
tff(c_1665,plain,
tl('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_1661,c_1547]) ).
tff(c_10906,plain,
! [U_1834,V_1835] :
( ( app(tl(U_1834),V_1835) = tl(app(U_1834,V_1835)) )
| ( nil = U_1834 )
| ~ ssList(V_1835)
| ~ ssList(U_1834) ),
inference(cnfTransformation,[status(thm)],[f_879]) ).
tff(c_11017,plain,
! [V_1835] :
( ( tl(app('#skF_50',V_1835)) = app(nil,V_1835) )
| ( nil = '#skF_50' )
| ~ ssList(V_1835)
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_1665,c_10906]) ).
tff(c_11040,plain,
! [V_1835] :
( ( tl(app('#skF_50',V_1835)) = app(nil,V_1835) )
| ( nil = '#skF_50' )
| ~ ssList(V_1835) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_11017]) ).
tff(c_11041,plain,
! [V_1835] :
( ( tl(app('#skF_50',V_1835)) = app(nil,V_1835) )
| ~ ssList(V_1835) ),
inference(negUnitSimplification,[status(thm)],[c_432,c_11040]) ).
tff(c_422,plain,
! [Y_1403,Z_1411,X1_1415] :
( ssItem('#skF_52'(Y_1403,Z_1411,X1_1415))
| ( app(app(Z_1411,cons(Y_1403,nil)),X1_1415) != '#skF_48' )
| ~ ssList(X1_1415)
| ~ ssList(Z_1411)
| ~ ssItem(Y_1403) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_428,plain,
! [Y_1403,Z_1411,X1_1415] :
( ssItem('#skF_52'(Y_1403,Z_1411,X1_1415))
| ( app(app(Z_1411,cons(Y_1403,nil)),X1_1415) != '#skF_50' )
| ~ ssList(X1_1415)
| ~ ssList(Z_1411)
| ~ ssItem(Y_1403) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_422]) ).
tff(c_11764,plain,
! [Y_1842,U_1843,X1_1844] :
( ssItem('#skF_52'(Y_1842,tl(U_1843),X1_1844))
| ( app(tl(app(U_1843,cons(Y_1842,nil))),X1_1844) != '#skF_50' )
| ~ ssList(X1_1844)
| ~ ssList(tl(U_1843))
| ~ ssItem(Y_1842)
| ( nil = U_1843 )
| ~ ssList(cons(Y_1842,nil))
| ~ ssList(U_1843) ),
inference(superposition,[status(thm),theory(equality)],[c_10906,c_428]) ).
tff(c_11768,plain,
! [Y_1842,X1_1844] :
( ssItem('#skF_52'(Y_1842,tl('#skF_50'),X1_1844))
| ( app(app(nil,cons(Y_1842,nil)),X1_1844) != '#skF_50' )
| ~ ssList(X1_1844)
| ~ ssList(tl('#skF_50'))
| ~ ssItem(Y_1842)
| ( nil = '#skF_50' )
| ~ ssList(cons(Y_1842,nil))
| ~ ssList('#skF_50')
| ~ ssList(cons(Y_1842,nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_11041,c_11764]) ).
tff(c_11800,plain,
! [Y_1842,X1_1844] :
( ssItem('#skF_52'(Y_1842,nil,X1_1844))
| ( app(app(nil,cons(Y_1842,nil)),X1_1844) != '#skF_50' )
| ~ ssList(X1_1844)
| ~ ssItem(Y_1842)
| ( nil = '#skF_50' )
| ~ ssList(cons(Y_1842,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_168,c_1665,c_1665,c_11768]) ).
tff(c_15744,plain,
! [Y_2007,X1_2008] :
( ssItem('#skF_52'(Y_2007,nil,X1_2008))
| ( app(app(nil,cons(Y_2007,nil)),X1_2008) != '#skF_50' )
| ~ ssList(X1_2008)
| ~ ssItem(Y_2007)
| ~ ssList(cons(Y_2007,nil)) ),
inference(negUnitSimplification,[status(thm)],[c_432,c_11800]) ).
tff(c_15754,plain,
! [X1_2008] :
( ssItem('#skF_52'('#skF_53',nil,X1_2008))
| ( app(app(nil,'#skF_50'),X1_2008) != '#skF_50' )
| ~ ssList(X1_2008)
| ~ ssItem('#skF_53')
| ~ ssList(cons('#skF_53',nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_15744]) ).
tff(c_15756,plain,
! [X1_2008] :
( ssItem('#skF_52'('#skF_53',nil,X1_2008))
| ( app('#skF_50',X1_2008) != '#skF_50' )
| ~ ssList(X1_2008) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_433,c_436,c_484,c_15754]) ).
tff(c_418,plain,
! [X1_1415,Y_1403,Z_1411] :
( memberP(X1_1415,'#skF_52'(Y_1403,Z_1411,X1_1415))
| ( app(app(Z_1411,cons(Y_1403,nil)),X1_1415) != '#skF_48' )
| ~ ssList(X1_1415)
| ~ ssList(Z_1411)
| ~ ssItem(Y_1403) ),
inference(cnfTransformation,[status(thm)],[f_1046]) ).
tff(c_427,plain,
! [X1_1415,Y_1403,Z_1411] :
( memberP(X1_1415,'#skF_52'(Y_1403,Z_1411,X1_1415))
| ( app(app(Z_1411,cons(Y_1403,nil)),X1_1415) != '#skF_50' )
| ~ ssList(X1_1415)
| ~ ssList(Z_1411)
| ~ ssItem(Y_1403) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_418]) ).
tff(c_16291,plain,
! [X1_2016,Y_2017,U_2018] :
( memberP(X1_2016,'#skF_52'(Y_2017,tl(U_2018),X1_2016))
| ( app(tl(app(U_2018,cons(Y_2017,nil))),X1_2016) != '#skF_50' )
| ~ ssList(X1_2016)
| ~ ssList(tl(U_2018))
| ~ ssItem(Y_2017)
| ( nil = U_2018 )
| ~ ssList(cons(Y_2017,nil))
| ~ ssList(U_2018) ),
inference(superposition,[status(thm),theory(equality)],[c_10906,c_427]) ).
tff(c_16297,plain,
! [X1_2016,Y_2017] :
( memberP(X1_2016,'#skF_52'(Y_2017,tl('#skF_50'),X1_2016))
| ( app(app(nil,cons(Y_2017,nil)),X1_2016) != '#skF_50' )
| ~ ssList(X1_2016)
| ~ ssList(tl('#skF_50'))
| ~ ssItem(Y_2017)
| ( nil = '#skF_50' )
| ~ ssList(cons(Y_2017,nil))
| ~ ssList('#skF_50')
| ~ ssList(cons(Y_2017,nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_11041,c_16291]) ).
tff(c_16324,plain,
! [X1_2016,Y_2017] :
( memberP(X1_2016,'#skF_52'(Y_2017,nil,X1_2016))
| ( app(app(nil,cons(Y_2017,nil)),X1_2016) != '#skF_50' )
| ~ ssList(X1_2016)
| ~ ssItem(Y_2017)
| ( nil = '#skF_50' )
| ~ ssList(cons(Y_2017,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_168,c_1665,c_1665,c_16297]) ).
tff(c_16533,plain,
! [X1_2027,Y_2028] :
( memberP(X1_2027,'#skF_52'(Y_2028,nil,X1_2027))
| ( app(app(nil,cons(Y_2028,nil)),X1_2027) != '#skF_50' )
| ~ ssList(X1_2027)
| ~ ssItem(Y_2028)
| ~ ssList(cons(Y_2028,nil)) ),
inference(negUnitSimplification,[status(thm)],[c_432,c_16324]) ).
tff(c_16540,plain,
! [X1_2027] :
( memberP(X1_2027,'#skF_52'('#skF_53',nil,X1_2027))
| ( app(app(nil,'#skF_50'),X1_2027) != '#skF_50' )
| ~ ssList(X1_2027)
| ~ ssItem('#skF_53')
| ~ ssList(cons('#skF_53',nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_16533]) ).
tff(c_36358,plain,
! [X1_2456] :
( memberP(X1_2456,'#skF_52'('#skF_53',nil,X1_2456))
| ( app('#skF_50',X1_2456) != '#skF_50' )
| ~ ssList(X1_2456) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_433,c_436,c_484,c_16540]) ).
tff(c_228,plain,
! [U_948] :
( ~ memberP(nil,U_948)
| ~ ssItem(U_948) ),
inference(cnfTransformation,[status(thm)],[f_517]) ).
tff(c_36386,plain,
( ~ ssItem('#skF_52'('#skF_53',nil,nil))
| ( app('#skF_50',nil) != '#skF_50' )
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_36358,c_228]) ).
tff(c_36407,plain,
~ ssItem('#skF_52'('#skF_53',nil,nil)),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_502,c_36386]) ).
tff(c_36413,plain,
( ( app('#skF_50',nil) != '#skF_50' )
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_15756,c_36407]) ).
tff(c_36420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_502,c_36413]) ).
tff(c_36422,plain,
'#skF_47'('#skF_50') != nil,
inference(splitRight,[status(thm)],[c_1605]) ).
tff(c_36633,plain,
! [V_2461,U_2462] :
( ( tl(cons(V_2461,U_2462)) = U_2462 )
| ~ ssItem(V_2461)
| ~ ssList(U_2462) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_36645,plain,
( ( tl('#skF_50') = nil )
| ~ ssItem('#skF_53')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_36633]) ).
tff(c_36649,plain,
'#skF_47'('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_436,c_1547,c_36645]) ).
tff(c_36651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36422,c_36649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC219+1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Apr 9 01:53:47 EDT 2025
% 0.13/0.35 % CPUTime :
% 26.22/12.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.22/12.02
% 26.22/12.02 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------