TSTP Solution File: SWC109+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC109+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 : n024.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 11:01:12 EDT 2023
% Result : Theorem 233.27s 208.85s
% Output : CNFRefutation 233.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 89
% Syntax : Number of formulae : 192 ( 55 unt; 78 typ; 0 def)
% Number of atoms : 240 ( 99 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 222 ( 96 ~; 92 |; 9 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 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 : 59 ( 59 usr; 10 con; 0-2 aty)
% Number of variables : 56 (; 53 !; 3 ?; 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_54 > #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_54',type,
'#skF_54': $i ).
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_1043,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ssList(Z)
=> ! [X1] :
( ~ ssList(X1)
| ( cons(Y,nil) != W )
| ( app(app(Z,W),X1) != X )
| ? [X2] :
( ssItem(X2)
& memberP(Z,X2)
& lt(Y,X2) )
| ? [X3] :
( ssItem(X3)
& memberP(X1,X3)
& lt(X3,Y) ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ neq(V,nil)
| ( neq(U,nil)
& segmentP(V,U) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_667,axiom,
! [U] :
( ssList(U)
=> segmentP(U,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).
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_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
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_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_855,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil = app(U,V) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
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_327,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) != U ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
tff(f_682,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( segmentP(U,V)
=> segmentP(app(app(W,U),X),V) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(c_390,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_270,plain,
! [U_1014] :
( segmentP(U_1014,U_1014)
| ~ ssList(U_1014) ),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_412,plain,
( ssList('#skF_54')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_5931,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_412]) ).
tff(c_414,plain,
( ssList('#skF_53')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_484,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_414]) ).
tff(c_426,plain,
( ssList('#skF_54')
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_450,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_416,plain,
( ssItem('#skF_52')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_466,plain,
( ssItem('#skF_52')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_416]) ).
tff(c_467,plain,
'#skF_51' = '#skF_50',
inference(splitLeft,[status(thm)],[c_466]) ).
tff(c_384,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_386,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_400,plain,
( ( nil != '#skF_48' )
| neq('#skF_49',nil) ),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_433,plain,
( ( nil != '#skF_48' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_400]) ).
tff(c_438,plain,
( ( nil != '#skF_50' )
| neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_433]) ).
tff(c_505,plain,
neq('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_484,c_467,c_484,c_438]) ).
tff(c_164,plain,
! [V_858] :
( ~ neq(V_858,V_858)
| ~ ssList(V_858) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_511,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_505,c_164]) ).
tff(c_516,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_511]) ).
tff(c_518,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_476,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_467,c_450]) ).
tff(c_523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_518,c_476]) ).
tff(c_525,plain,
'#skF_51' != '#skF_50',
inference(splitRight,[status(thm)],[c_466]) ).
tff(c_356,plain,
! [U_1080] :
( ( app(U_1080,nil) = U_1080 )
| ~ ssList(U_1080) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_551,plain,
! [U_1515] :
( ( app(U_1515,'#skF_51') = U_1515 )
| ~ ssList(U_1515) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_356]) ).
tff(c_567,plain,
app('#skF_50','#skF_51') = '#skF_50',
inference(resolution,[status(thm)],[c_390,c_551]) ).
tff(c_526,plain,
( ssList('#skF_54')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_412]) ).
tff(c_527,plain,
ssList('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_525,c_526]) ).
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_1021,plain,
! [U_1572] :
( ( hd(U_1572) = '#skF_46'(U_1572) )
| ( U_1572 = '#skF_51' )
| ~ ssList(U_1572) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_330]) ).
tff(c_1131,plain,
( ( hd('#skF_54') = '#skF_46'('#skF_54') )
| ( '#skF_54' = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_527,c_1021]) ).
tff(c_1188,plain,
'#skF_54' = '#skF_51',
inference(splitLeft,[status(thm)],[c_1131]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_605,plain,
! [U_1518] :
( ( app('#skF_51',U_1518) = U_1518 )
| ~ ssList(U_1518) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_196]) ).
tff(c_622,plain,
app('#skF_51','#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_390,c_605]) ).
tff(c_528,plain,
( ssList('#skF_53')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_414]) ).
tff(c_529,plain,
ssList('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_525,c_528]) ).
tff(c_1130,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( '#skF_53' = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_529,c_1021]) ).
tff(c_1147,plain,
'#skF_53' = '#skF_51',
inference(splitLeft,[status(thm)],[c_1130]) ).
tff(c_408,plain,
( ( app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_635,plain,
( ( app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_408]) ).
tff(c_636,plain,
app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_525,c_635]) ).
tff(c_1167,plain,
app(app('#skF_51','#skF_50'),'#skF_54') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_1147,c_636]) ).
tff(c_1171,plain,
app('#skF_50','#skF_54') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_622,c_1167]) ).
tff(c_1190,plain,
app('#skF_50','#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_1188,c_1171]) ).
tff(c_1195,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_567,c_1190]) ).
tff(c_1197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_525,c_1195]) ).
tff(c_1199,plain,
'#skF_54' != '#skF_51',
inference(splitRight,[status(thm)],[c_1131]) ).
tff(c_354,plain,
! [V_1079,U_1077] :
( ( nil = V_1079 )
| ( app(U_1077,V_1079) != nil )
| ~ ssList(V_1079)
| ~ ssList(U_1077) ),
inference(cnfTransformation,[status(thm)],[f_855]) ).
tff(c_2252,plain,
! [V_1614,U_1615] :
( ( V_1614 = '#skF_51' )
| ( app(U_1615,V_1614) != '#skF_51' )
| ~ ssList(V_1614)
| ~ ssList(U_1615) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_450,c_354]) ).
tff(c_2258,plain,
( ( '#skF_54' = '#skF_51' )
| ~ ssList('#skF_54')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_1171,c_2252]) ).
tff(c_2276,plain,
'#skF_54' = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_527,c_2258]) ).
tff(c_2278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1199,c_2276]) ).
tff(c_2280,plain,
'#skF_53' != '#skF_51',
inference(splitRight,[status(thm)],[c_1130]) ).
tff(c_192,plain,
! [U_896,V_898] :
( ssList(app(U_896,V_898))
| ~ ssList(V_898)
| ~ ssList(U_896) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_352,plain,
! [U_1077,V_1079] :
( ( nil = U_1077 )
| ( app(U_1077,V_1079) != nil )
| ~ ssList(V_1079)
| ~ ssList(U_1077) ),
inference(cnfTransformation,[status(thm)],[f_855]) ).
tff(c_5866,plain,
! [U_1742,V_1743] :
( ( U_1742 = '#skF_51' )
| ( app(U_1742,V_1743) != '#skF_51' )
| ~ ssList(V_1743)
| ~ ssList(U_1742) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_450,c_352]) ).
tff(c_5868,plain,
( ( app('#skF_53','#skF_50') = '#skF_51' )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53','#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_636,c_5866]) ).
tff(c_5885,plain,
( ( app('#skF_53','#skF_50') = '#skF_51' )
| ~ ssList(app('#skF_53','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_527,c_5868]) ).
tff(c_5905,plain,
~ ssList(app('#skF_53','#skF_50')),
inference(splitLeft,[status(thm)],[c_5885]) ).
tff(c_5908,plain,
( ~ ssList('#skF_50')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_5905]) ).
tff(c_5912,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_529,c_390,c_5908]) ).
tff(c_5913,plain,
app('#skF_53','#skF_50') = '#skF_51',
inference(splitRight,[status(thm)],[c_5885]) ).
tff(c_5865,plain,
! [U_1077,V_1079] :
( ( U_1077 = '#skF_51' )
| ( app(U_1077,V_1079) != '#skF_51' )
| ~ ssList(V_1079)
| ~ ssList(U_1077) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_450,c_352]) ).
tff(c_5918,plain,
( ( '#skF_53' = '#skF_51' )
| ~ ssList('#skF_50')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_5913,c_5865]) ).
tff(c_5926,plain,
'#skF_53' = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_529,c_390,c_5918]) ).
tff(c_5928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2280,c_5926]) ).
tff(c_5930,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_5932,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_5931,c_5930]) ).
tff(c_430,plain,
( ssItem('#skF_52')
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_5950,plain,
( ssItem('#skF_52')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5931,c_430]) ).
tff(c_5951,plain,
ssItem('#skF_52'),
inference(negUnitSimplification,[status(thm)],[c_5932,c_5950]) ).
tff(c_424,plain,
( ( cons('#skF_52',nil) = '#skF_50' )
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_5972,plain,
( ( cons('#skF_52','#skF_50') = '#skF_50' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5931,c_5931,c_424]) ).
tff(c_5973,plain,
cons('#skF_52','#skF_50') = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_5932,c_5972]) ).
tff(c_6526,plain,
! [V_1812,U_1813] :
( ( cons(V_1812,U_1813) != U_1813 )
| ~ ssItem(V_1812)
| ~ ssList(U_1813) ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_6528,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_5973,c_6526]) ).
tff(c_6532,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5951,c_6528]) ).
tff(c_6534,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_6536,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_414]) ).
tff(c_6537,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6534,c_6536]) ).
tff(c_6538,plain,
ssList('#skF_53'),
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_5929,plain,
ssList('#skF_54'),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_6601,plain,
app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_6534,c_408]) ).
tff(c_350099,plain,
! [W_6647,U_6648,X_6649,V_6650] :
( segmentP(app(app(W_6647,U_6648),X_6649),V_6650)
| ~ segmentP(U_6648,V_6650)
| ~ ssList(X_6649)
| ~ ssList(W_6647)
| ~ ssList(V_6650)
| ~ ssList(U_6648) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_350332,plain,
! [V_6650] :
( segmentP('#skF_51',V_6650)
| ~ segmentP('#skF_50',V_6650)
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(V_6650)
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_6601,c_350099]) ).
tff(c_350500,plain,
! [V_6651] :
( segmentP('#skF_51',V_6651)
| ~ segmentP('#skF_50',V_6651)
| ~ ssList(V_6651) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_6538,c_5929,c_350332]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_10240,plain,
! [U_1986,V_1987] :
( neq(U_1986,V_1987)
| ( V_1987 = U_1986 )
| ~ ssList(V_1987)
| ~ ssList(U_1986) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_398,plain,
( ( nil = '#skF_49' )
| ~ segmentP('#skF_49','#skF_48')
| ~ neq('#skF_48',nil) ),
inference(cnfTransformation,[status(thm)],[f_1043]) ).
tff(c_434,plain,
( ( nil = '#skF_51' )
| ~ segmentP('#skF_51','#skF_48')
| ~ neq('#skF_48',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_386,c_398]) ).
tff(c_440,plain,
( ( nil = '#skF_51' )
| ~ segmentP('#skF_51','#skF_50')
| ~ neq('#skF_50',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_384,c_434]) ).
tff(c_6975,plain,
( ~ segmentP('#skF_51','#skF_50')
| ~ neq('#skF_50',nil) ),
inference(negUnitSimplification,[status(thm)],[c_5930,c_440]) ).
tff(c_6976,plain,
~ neq('#skF_50',nil),
inference(splitLeft,[status(thm)],[c_6975]) ).
tff(c_10243,plain,
( ( nil = '#skF_50' )
| ~ ssList(nil)
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_10240,c_6976]) ).
tff(c_10254,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_168,c_10243]) ).
tff(c_10256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6534,c_10254]) ).
tff(c_10257,plain,
~ segmentP('#skF_51','#skF_50'),
inference(splitRight,[status(thm)],[c_6975]) ).
tff(c_350507,plain,
( ~ segmentP('#skF_50','#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_350500,c_10257]) ).
tff(c_350516,plain,
~ segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_350507]) ).
tff(c_350519,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_270,c_350516]) ).
tff(c_350523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_350519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWC109+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % 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
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 21:22:30 EDT 2023
% 0.15/0.36 % CPUTime :
% 233.27/208.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 233.38/208.86
% 233.38/208.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 233.38/208.90
% 233.38/208.90 Inference rules
% 233.38/208.90 ----------------------
% 233.38/208.90 #Ref : 30
% 233.38/208.90 #Sup : 75592
% 233.38/208.90 #Fact : 0
% 233.38/208.90 #Define : 0
% 233.38/208.90 #Split : 443
% 233.38/208.90 #Chain : 0
% 233.38/208.90 #Close : 0
% 233.38/208.90
% 233.38/208.90 Ordering : KBO
% 233.38/208.90
% 233.38/208.90 Simplification rules
% 233.38/208.90 ----------------------
% 233.38/208.90 #Subsume : 13054
% 233.38/208.90 #Demod : 93216
% 233.38/208.90 #Tautology : 12065
% 233.38/208.90 #SimpNegUnit : 8093
% 233.38/208.90 #BackRed : 1032
% 233.38/208.90
% 233.38/208.90 #Partial instantiations: 0
% 233.38/208.90 #Strategies tried : 1
% 233.38/208.90
% 233.38/208.90 Timing (in seconds)
% 233.38/208.90 ----------------------
% 233.38/208.90 Preprocessing : 0.87
% 233.38/208.90 Parsing : 0.41
% 233.38/208.90 CNF conversion : 0.11
% 233.38/208.90 Main loop : 206.94
% 233.38/208.90 Inferencing : 22.50
% 233.38/208.90 Reduction : 102.60
% 233.38/208.90 Demodulation : 73.04
% 233.38/208.90 BG Simplification : 0.57
% 233.38/208.90 Subsumption : 63.89
% 233.38/208.90 Abstraction : 1.12
% 233.38/208.90 MUC search : 0.00
% 233.38/208.90 Cooper : 0.00
% 233.38/208.90 Total : 207.88
% 233.38/208.90 Index Insertion : 0.00
% 233.38/208.90 Index Deletion : 0.00
% 233.38/208.90 Index Matching : 0.00
% 233.38/208.90 BG Taut test : 0.00
%------------------------------------------------------------------------------