TSTP Solution File: SWC354+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC354+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 : n004.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 11:02:16 EDT 2023
% Result : Theorem 18.73s 6.91s
% Output : CNFRefutation 18.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 90
% Syntax : Number of formulae : 199 ( 60 unt; 75 typ; 0 def)
% Number of atoms : 260 ( 92 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 242 ( 106 ~; 96 |; 8 &)
% ( 1 <=>; 31 =>; 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 : 64 (; 60 !; 4 ?; 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_1019,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ( ( ~ neq(V,nil)
| ? [Y] :
( ssList(Y)
& ( W != Y )
& ? [Z] :
( ssItem(Z)
& ( cons(Z,nil) = Y )
& ( hd(X) = Z )
& neq(nil,X) ) )
| segmentP(V,U) )
& ( ~ neq(V,nil)
| neq(X,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_667,axiom,
! [U] :
( ssList(U)
=> segmentP(U,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
tff(f_769,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssItem(V)
& ( hd(U) = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).
tff(f_311,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( neq(U,V)
<=> ( U != V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
tff(f_779,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssList(V)
& ( tl(U) = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax76) ).
tff(f_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
tff(f_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_318,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ssList(cons(V,U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
tff(f_364,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( nil != cons(V,U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
tff(f_378,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( hd(cons(V,U)) = V ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
tff(f_803,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ( cons(hd(U),tl(U)) = U ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
tff(f_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
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/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
tff(c_390,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1019]) ).
tff(c_270,plain,
! [U_1014] :
( segmentP(U_1014,U_1014)
| ~ ssList(U_1014) ),
inference(cnfTransformation,[status(thm)],[f_667]) ).
tff(c_388,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1019]) ).
tff(c_3354,plain,
! [U_1427] :
( ( hd(U_1427) = '#skF_46'(U_1427) )
| ( nil = U_1427 )
| ~ ssList(U_1427) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_3458,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_3354]) ).
tff(c_3460,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_3458]) ).
tff(c_386,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1019]) ).
tff(c_406,plain,
neq('#skF_49',nil),
inference(cnfTransformation,[status(thm)],[f_1019]) ).
tff(c_411,plain,
neq('#skF_51',nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_406]) ).
tff(c_3598,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_3460,c_411]) ).
tff(c_164,plain,
! [V_858] :
( ~ neq(V_858,V_858)
| ~ ssList(V_858) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_3680,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_3598,c_164]) ).
tff(c_3685,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_3680]) ).
tff(c_3687,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_3458]) ).
tff(c_3688,plain,
! [U_1433] :
( ( tl(U_1433) = '#skF_47'(U_1433) )
| ( nil = U_1433 )
| ~ ssList(U_1433) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_3763,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_3688]) ).
tff(c_3794,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_3687,c_3763]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_3900,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_3794,c_188]) ).
tff(c_3904,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_3900]) ).
tff(c_3905,plain,
ssList('#skF_47'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_3687,c_3904]) ).
tff(c_3686,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(splitRight,[status(thm)],[c_3458]) ).
tff(c_2945,plain,
! [U_1374] :
( ssItem(hd(U_1374))
| ( nil = U_1374 )
| ~ ssList(U_1374) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_2043,plain,
! [U_1341] :
( ( hd(U_1341) = '#skF_46'(U_1341) )
| ( nil = U_1341 )
| ~ ssList(U_1341) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_2159,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_2043]) ).
tff(c_2161,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_2159]) ).
tff(c_2196,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_2161,c_411]) ).
tff(c_2357,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_2196,c_164]) ).
tff(c_2362,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_2357]) ).
tff(c_2364,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_2159]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_2775,plain,
! [U_1355,V_1356] :
( neq(U_1355,V_1356)
| ( V_1356 = U_1355 )
| ~ ssList(V_1356)
| ~ ssList(U_1355) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_773,plain,
! [U_1248] :
( ( hd(U_1248) = '#skF_46'(U_1248) )
| ( nil = U_1248 )
| ~ ssList(U_1248) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_877,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_773]) ).
tff(c_879,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_877]) ).
tff(c_909,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_879,c_411]) ).
tff(c_1056,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_909,c_164]) ).
tff(c_1061,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_1056]) ).
tff(c_1063,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_877]) ).
tff(c_1062,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(splitRight,[status(thm)],[c_877]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_1068,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_1062,c_184]) ).
tff(c_1072,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_1068]) ).
tff(c_1073,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_1063,c_1072]) ).
tff(c_1366,plain,
! [V_1265,U_1266] :
( ssList(cons(V_1265,U_1266))
| ~ ssItem(V_1265)
| ~ ssList(U_1266) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_398,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_1019]) ).
tff(c_415,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_411,c_398]) ).
tff(c_430,plain,
~ ssList(cons(hd('#skF_51'),nil)),
inference(splitLeft,[status(thm)],[c_415]) ).
tff(c_1064,plain,
~ ssList(cons('#skF_46'('#skF_51'),nil)),
inference(demodulation,[status(thm),theory(equality)],[c_1062,c_430]) ).
tff(c_1372,plain,
( ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_1366,c_1064]) ).
tff(c_1386,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_1073,c_1372]) ).
tff(c_1387,plain,
( ~ ssItem(hd('#skF_51'))
| ~ neq(nil,'#skF_51')
| ( cons(hd('#skF_51'),nil) = '#skF_50' ) ),
inference(splitRight,[status(thm)],[c_415]) ).
tff(c_1401,plain,
~ neq(nil,'#skF_51'),
inference(splitLeft,[status(thm)],[c_1387]) ).
tff(c_2778,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_2775,c_1401]) ).
tff(c_2789,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_388,c_2778]) ).
tff(c_2791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2364,c_2789]) ).
tff(c_2792,plain,
( ~ ssItem(hd('#skF_51'))
| ( cons(hd('#skF_51'),nil) = '#skF_50' ) ),
inference(splitRight,[status(thm)],[c_1387]) ).
tff(c_2823,plain,
~ ssItem(hd('#skF_51')),
inference(splitLeft,[status(thm)],[c_2792]) ).
tff(c_2948,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_2945,c_2823]) ).
tff(c_2951,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_2948]) ).
tff(c_2979,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_2951,c_411]) ).
tff(c_3000,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_2979,c_164]) ).
tff(c_3005,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_3000]) ).
tff(c_3007,plain,
ssItem(hd('#skF_51')),
inference(splitRight,[status(thm)],[c_2792]) ).
tff(c_3797,plain,
ssItem('#skF_46'('#skF_51')),
inference(demodulation,[status(thm),theory(equality)],[c_3686,c_3007]) ).
tff(c_3459,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_3354]) ).
tff(c_3809,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_3459]) ).
tff(c_3006,plain,
cons(hd('#skF_51'),nil) = '#skF_50',
inference(splitRight,[status(thm)],[c_2792]) ).
tff(c_3796,plain,
cons('#skF_46'('#skF_51'),nil) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_3686,c_3006]) ).
tff(c_3884,plain,
cons('#skF_46'('#skF_51'),'#skF_50') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_3809,c_3796]) ).
tff(c_182,plain,
! [V_887,U_885] :
( ( cons(V_887,U_885) != nil )
| ~ ssItem(V_887)
| ~ ssList(U_885) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_3863,plain,
! [V_887,U_885] :
( ( cons(V_887,U_885) != '#skF_50' )
| ~ ssItem(V_887)
| ~ ssList(U_885) ),
inference(demodulation,[status(thm),theory(equality)],[c_3809,c_182]) ).
tff(c_3887,plain,
( ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_3884,c_3863]) ).
tff(c_3893,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_3797,c_3887]) ).
tff(c_3895,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_3459]) ).
tff(c_3894,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(splitRight,[status(thm)],[c_3459]) ).
tff(c_3926,plain,
( ssItem('#skF_46'('#skF_50'))
| ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_3894,c_184]) ).
tff(c_3930,plain,
( ssItem('#skF_46'('#skF_50'))
| ( nil = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_3926]) ).
tff(c_3931,plain,
ssItem('#skF_46'('#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_3895,c_3930]) ).
tff(c_4398,plain,
! [V_1460,U_1461] :
( ( hd(cons(V_1460,U_1461)) = V_1460 )
| ~ ssItem(V_1460)
| ~ ssList(U_1461) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_4410,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_51') )
| ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_3796,c_4398]) ).
tff(c_4414,plain,
'#skF_46'('#skF_51') = '#skF_46'('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_3797,c_3894,c_4410]) ).
tff(c_4416,plain,
cons('#skF_46'('#skF_50'),nil) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_4414,c_3796]) ).
tff(c_8022,plain,
! [V_1595,U_1596] :
( ( app(cons(V_1595,nil),U_1596) = cons(V_1595,U_1596) )
| ~ ssItem(V_1595)
| ~ ssList(U_1596) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_8044,plain,
! [U_1596] :
( ( cons('#skF_46'('#skF_50'),U_1596) = app('#skF_50',U_1596) )
| ~ ssItem('#skF_46'('#skF_50'))
| ~ ssList(U_1596) ),
inference(superposition,[status(thm),theory(equality)],[c_4416,c_8022]) ).
tff(c_8049,plain,
! [U_1597] :
( ( cons('#skF_46'('#skF_50'),U_1597) = app('#skF_50',U_1597) )
| ~ ssList(U_1597) ),
inference(demodulation,[status(thm),theory(equality)],[c_3931,c_8044]) ).
tff(c_4418,plain,
hd('#skF_51') = '#skF_46'('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_4414,c_3686]) ).
tff(c_4935,plain,
! [U_1473] :
( ( cons(hd(U_1473),tl(U_1473)) = U_1473 )
| ( nil = U_1473 )
| ~ ssList(U_1473) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_4978,plain,
( ( cons(hd('#skF_51'),'#skF_47'('#skF_51')) = '#skF_51' )
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_3794,c_4935]) ).
tff(c_4996,plain,
( ( cons('#skF_46'('#skF_50'),'#skF_47'('#skF_51')) = '#skF_51' )
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_4418,c_4978]) ).
tff(c_4997,plain,
cons('#skF_46'('#skF_50'),'#skF_47'('#skF_51')) = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_3687,c_4996]) ).
tff(c_8066,plain,
( ( app('#skF_50','#skF_47'('#skF_51')) = '#skF_51' )
| ~ ssList('#skF_47'('#skF_51')) ),
inference(superposition,[status(thm),theory(equality)],[c_8049,c_4997]) ).
tff(c_8131,plain,
app('#skF_50','#skF_47'('#skF_51')) = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_3905,c_8066]) ).
tff(c_3050,plain,
! [U_1381] :
( ( app(nil,U_1381) = U_1381 )
| ~ ssList(U_1381) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_3063,plain,
app(nil,'#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_390,c_3050]) ).
tff(c_22838,plain,
! [W_1843,U_1844,X_1845,V_1846] :
( segmentP(app(app(W_1843,U_1844),X_1845),V_1846)
| ~ segmentP(U_1844,V_1846)
| ~ ssList(X_1845)
| ~ ssList(W_1843)
| ~ ssList(V_1846)
| ~ ssList(U_1844) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_23107,plain,
! [X_1845,V_1846] :
( segmentP(app('#skF_50',X_1845),V_1846)
| ~ segmentP('#skF_50',V_1846)
| ~ ssList(X_1845)
| ~ ssList(nil)
| ~ ssList(V_1846)
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_3063,c_22838]) ).
tff(c_24332,plain,
! [X_1879,V_1880] :
( segmentP(app('#skF_50',X_1879),V_1880)
| ~ segmentP('#skF_50',V_1880)
| ~ ssList(X_1879)
| ~ ssList(V_1880) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_168,c_23107]) ).
tff(c_24346,plain,
! [V_1880] :
( segmentP('#skF_51',V_1880)
| ~ segmentP('#skF_50',V_1880)
| ~ ssList('#skF_47'('#skF_51'))
| ~ ssList(V_1880) ),
inference(superposition,[status(thm),theory(equality)],[c_8131,c_24332]) ).
tff(c_24589,plain,
! [V_1890] :
( segmentP('#skF_51',V_1890)
| ~ segmentP('#skF_50',V_1890)
| ~ ssList(V_1890) ),
inference(demodulation,[status(thm),theory(equality)],[c_3905,c_24346]) ).
tff(c_384,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1019]) ).
tff(c_396,plain,
( ~ segmentP('#skF_49','#skF_48')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1019]) ).
tff(c_412,plain,
( ~ segmentP('#skF_51','#skF_48')
| ~ neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_396]) ).
tff(c_417,plain,
~ segmentP('#skF_51','#skF_48'),
inference(demodulation,[status(thm),theory(equality)],[c_411,c_412]) ).
tff(c_419,plain,
~ segmentP('#skF_51','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_417]) ).
tff(c_24596,plain,
( ~ segmentP('#skF_50','#skF_50')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_24589,c_419]) ).
tff(c_24605,plain,
~ segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_24596]) ).
tff(c_24608,plain,
~ ssList('#skF_50'),
inference(resolution,[status(thm)],[c_270,c_24605]) ).
tff(c_24612,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_24608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SWC354+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % 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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 21:42:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 18.73/6.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.73/6.92
% 18.73/6.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.73/6.96
% 18.73/6.96 Inference rules
% 18.73/6.96 ----------------------
% 18.73/6.96 #Ref : 5
% 18.73/6.96 #Sup : 5312
% 18.73/6.96 #Fact : 0
% 18.73/6.96 #Define : 0
% 18.73/6.96 #Split : 52
% 18.73/6.96 #Chain : 0
% 18.73/6.96 #Close : 0
% 18.73/6.96
% 18.73/6.96 Ordering : KBO
% 18.73/6.96
% 18.73/6.96 Simplification rules
% 18.73/6.96 ----------------------
% 18.73/6.96 #Subsume : 613
% 18.73/6.96 #Demod : 4264
% 18.73/6.96 #Tautology : 1510
% 18.73/6.96 #SimpNegUnit : 353
% 18.73/6.96 #BackRed : 393
% 18.73/6.96
% 18.73/6.96 #Partial instantiations: 0
% 18.73/6.96 #Strategies tried : 1
% 18.73/6.96
% 18.73/6.96 Timing (in seconds)
% 18.73/6.96 ----------------------
% 18.73/6.96 Preprocessing : 0.90
% 18.73/6.96 Parsing : 0.42
% 18.73/6.96 CNF conversion : 0.11
% 18.73/6.96 Main loop : 4.99
% 18.73/6.96 Inferencing : 1.25
% 18.73/6.96 Reduction : 2.03
% 18.73/6.96 Demodulation : 1.47
% 18.73/6.96 BG Simplification : 0.12
% 18.73/6.96 Subsumption : 1.26
% 18.73/6.97 Abstraction : 0.11
% 18.73/6.97 MUC search : 0.00
% 18.73/6.97 Cooper : 0.00
% 18.73/6.97 Total : 5.96
% 18.73/6.97 Index Insertion : 0.00
% 18.73/6.97 Index Deletion : 0.00
% 18.73/6.97 Index Matching : 0.00
% 18.73/6.97 BG Taut test : 0.00
%------------------------------------------------------------------------------