TSTP Solution File: SWC120+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC120+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 : n014.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 11:01:15 EDT 2023
% Result : Theorem 21.73s 9.87s
% Output : CNFRefutation 21.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 87
% Syntax : Number of formulae : 208 ( 73 unt; 75 typ; 0 def)
% Number of atoms : 261 ( 102 equ)
% Maximal formula atoms : 17 ( 1 avg)
% Number of connectives : 230 ( 102 ~; 92 |; 11 &)
% ( 2 <=>; 23 =>; 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 : 52 (; 46 !; 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_1021,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ( ( ~ neq(V,nil)
| ? [Y] :
( ssList(Y)
& ( X != Y )
& ? [Z] :
( ssList(Z)
& ( tl(X) = Z )
& ( app(W,Z) = Y )
& neq(nil,X) ) )
| ( neq(U,nil)
& segmentP(V,U) ) )
& ( ~ neq(V,nil)
| neq(X,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
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_319,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
tff(f_399,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
tff(f_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
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_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
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_327,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) != U ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
tff(f_135,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( segmentP(U,V)
<=> ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& ( app(app(W,V),X) = U ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
tff(c_388,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_6459,plain,
! [U_1582] :
( ( hd(U_1582) = '#skF_46'(U_1582) )
| ( nil = U_1582 )
| ~ ssList(U_1582) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_6575,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_6459]) ).
tff(c_6577,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_6575]) ).
tff(c_4772,plain,
! [U_1474] :
( ( hd(U_1474) = '#skF_46'(U_1474) )
| ( nil = U_1474 )
| ~ ssList(U_1474) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_4880,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_4772]) ).
tff(c_4882,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_4880]) ).
tff(c_386,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_406,plain,
neq('#skF_49',nil),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_411,plain,
neq('#skF_51',nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_406]) ).
tff(c_4936,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_4882,c_411]) ).
tff(c_164,plain,
! [V_858] :
( ~ neq(V_858,V_858)
| ~ ssList(V_858) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_5098,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_4936,c_164]) ).
tff(c_5105,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_5098]) ).
tff(c_5107,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_4880]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_5646,plain,
! [U_1506,V_1507] :
( neq(U_1506,V_1507)
| ( V_1507 = U_1506 )
| ~ ssList(V_1507)
| ~ ssList(U_1506) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_774,plain,
! [U_1248] :
( ( hd(U_1248) = '#skF_46'(U_1248) )
| ( nil = U_1248 )
| ~ ssList(U_1248) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_878,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_774]) ).
tff(c_880,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_878]) ).
tff(c_910,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_880,c_411]) ).
tff(c_1159,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_910,c_164]) ).
tff(c_1164,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_1159]) ).
tff(c_1166,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_878]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_390,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_2016,plain,
! [U_1288,V_1289] :
( ssList(app(U_1288,V_1289))
| ~ ssList(V_1289)
| ~ ssList(U_1288) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_398,plain,
( ~ neq(nil,'#skF_51')
| ~ ssList(tl('#skF_51'))
| ( app('#skF_50',tl('#skF_51')) = '#skF_51' )
| ~ ssList(app('#skF_50',tl('#skF_51')))
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_415,plain,
( ~ neq(nil,'#skF_51')
| ~ ssList(tl('#skF_51'))
| ( app('#skF_50',tl('#skF_51')) = '#skF_51' )
| ~ ssList(app('#skF_50',tl('#skF_51'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_411,c_398]) ).
tff(c_431,plain,
~ ssList(app('#skF_50',tl('#skF_51'))),
inference(splitLeft,[status(thm)],[c_415]) ).
tff(c_2031,plain,
( ~ ssList(tl('#skF_51'))
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_2016,c_431]) ).
tff(c_2053,plain,
~ ssList(tl('#skF_51')),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_2031]) ).
tff(c_2066,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_188,c_2053]) ).
tff(c_2069,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_2066]) ).
tff(c_2071,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1166,c_2069]) ).
tff(c_2072,plain,
( ~ ssList(tl('#skF_51'))
| ~ neq(nil,'#skF_51')
| ( app('#skF_50',tl('#skF_51')) = '#skF_51' ) ),
inference(splitRight,[status(thm)],[c_415]) ).
tff(c_2085,plain,
~ neq(nil,'#skF_51'),
inference(splitLeft,[status(thm)],[c_2072]) ).
tff(c_5649,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_5646,c_2085]) ).
tff(c_5660,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_388,c_5649]) ).
tff(c_5662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5107,c_5660]) ).
tff(c_5664,plain,
neq(nil,'#skF_51'),
inference(splitRight,[status(thm)],[c_2072]) ).
tff(c_6605,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_6577,c_5664]) ).
tff(c_6800,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_6605,c_164]) ).
tff(c_6807,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_6800]) ).
tff(c_6809,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_6575]) ).
tff(c_6808,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(splitRight,[status(thm)],[c_6575]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_6933,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_6808,c_184]) ).
tff(c_6937,plain,
( ssItem('#skF_46'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_6933]) ).
tff(c_6938,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_6809,c_6937]) ).
tff(c_6576,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_6459]) ).
tff(c_6954,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_6576]) ).
tff(c_6956,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_6954,c_6809]) ).
tff(c_6810,plain,
! [U_1588] :
( ( tl(U_1588) = '#skF_47'(U_1588) )
| ( nil = U_1588 )
| ~ ssList(U_1588) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_6894,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_6810]) ).
tff(c_6928,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_6809,c_6894]) ).
tff(c_5768,plain,
! [U_1520] :
( ssList(tl(U_1520))
| ( nil = U_1520 )
| ~ ssList(U_1520) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_5663,plain,
( ~ ssList(tl('#skF_51'))
| ( app('#skF_50',tl('#skF_51')) = '#skF_51' ) ),
inference(splitRight,[status(thm)],[c_2072]) ).
tff(c_5695,plain,
~ ssList(tl('#skF_51')),
inference(splitLeft,[status(thm)],[c_5663]) ).
tff(c_5774,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_5768,c_5695]) ).
tff(c_5781,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_5774]) ).
tff(c_5805,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_5781,c_411]) ).
tff(c_5822,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_5805,c_164]) ).
tff(c_5829,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_5822]) ).
tff(c_5830,plain,
app('#skF_50',tl('#skF_51')) = '#skF_51',
inference(splitRight,[status(thm)],[c_5663]) ).
tff(c_6942,plain,
app('#skF_50','#skF_47'('#skF_51')) = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_6928,c_5830]) ).
tff(c_5831,plain,
ssList(tl('#skF_51')),
inference(splitRight,[status(thm)],[c_5663]) ).
tff(c_5846,plain,
! [U_1525] :
( ( app(nil,U_1525) = U_1525 )
| ~ ssList(U_1525) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_5859,plain,
app(nil,tl('#skF_51')) = tl('#skF_51'),
inference(resolution,[status(thm)],[c_5831,c_5846]) ).
tff(c_6940,plain,
app(nil,'#skF_47'('#skF_51')) = '#skF_47'('#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_6928,c_6928,c_5859]) ).
tff(c_7067,plain,
'#skF_47'('#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_6942,c_6954,c_6940]) ).
tff(c_7070,plain,
tl('#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_7067,c_6928]) ).
tff(c_340,plain,
! [U_1052] :
( ( cons(hd(U_1052),tl(U_1052)) = U_1052 )
| ( nil = U_1052 )
| ~ ssList(U_1052) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_8304,plain,
! [U_1662] :
( ( cons(hd(U_1662),tl(U_1662)) = U_1662 )
| ( U_1662 = '#skF_50' )
| ~ ssList(U_1662) ),
inference(demodulation,[status(thm),theory(equality)],[c_6954,c_340]) ).
tff(c_8332,plain,
( ( cons(hd('#skF_51'),'#skF_51') = '#skF_51' )
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_7070,c_8304]) ).
tff(c_8344,plain,
( ( cons('#skF_46'('#skF_51'),'#skF_51') = '#skF_51' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_6808,c_8332]) ).
tff(c_8345,plain,
cons('#skF_46'('#skF_51'),'#skF_51') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_6956,c_8344]) ).
tff(c_170,plain,
! [V_864,U_862] :
( ( cons(V_864,U_862) != U_862 )
| ~ ssItem(V_864)
| ~ ssList(U_862) ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_8365,plain,
( ~ ssItem('#skF_46'('#skF_51'))
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_8345,c_170]) ).
tff(c_8381,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_6938,c_8365]) ).
tff(c_8383,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_6576]) ).
tff(c_8580,plain,
! [U_1677,V_1678] :
( neq(U_1677,V_1678)
| ( V_1678 = U_1677 )
| ~ ssList(V_1678)
| ~ ssList(U_1677) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_384,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_396,plain,
( ~ segmentP('#skF_49','#skF_48')
| ~ neq('#skF_48',nil)
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_412,plain,
( ~ segmentP('#skF_51','#skF_48')
| ~ neq('#skF_48',nil)
| ~ neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_396]) ).
tff(c_417,plain,
( ~ segmentP('#skF_51','#skF_48')
| ~ neq('#skF_48',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_411,c_412]) ).
tff(c_419,plain,
( ~ segmentP('#skF_51','#skF_50')
| ~ neq('#skF_50',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_384,c_417]) ).
tff(c_5665,plain,
~ neq('#skF_50',nil),
inference(splitLeft,[status(thm)],[c_419]) ).
tff(c_8583,plain,
( ( nil = '#skF_50' )
| ~ ssList(nil)
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_8580,c_5665]) ).
tff(c_8594,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_168,c_8583]) ).
tff(c_8596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8383,c_8594]) ).
tff(c_8597,plain,
~ segmentP('#skF_51','#skF_50'),
inference(splitRight,[status(thm)],[c_419]) ).
tff(c_9082,plain,
! [U_1742] :
( ( hd(U_1742) = '#skF_46'(U_1742) )
| ( nil = U_1742 )
| ~ ssList(U_1742) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_9190,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_9082]) ).
tff(c_9192,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_9190]) ).
tff(c_9225,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_9192,c_411]) ).
tff(c_9472,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_9225,c_164]) ).
tff(c_9479,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_9472]) ).
tff(c_9481,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_9190]) ).
tff(c_9862,plain,
! [U_1755] :
( ( tl(U_1755) = '#skF_47'(U_1755) )
| ( nil = U_1755 )
| ~ ssList(U_1755) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_9940,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_388,c_9862]) ).
tff(c_9974,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_9481,c_9940]) ).
tff(c_8667,plain,
! [U_1689] :
( ssList(tl(U_1689))
| ( nil = U_1689 )
| ~ ssList(U_1689) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_8599,plain,
~ ssList(tl('#skF_51')),
inference(splitLeft,[status(thm)],[c_5663]) ).
tff(c_8676,plain,
( ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_8667,c_8599]) ).
tff(c_8681,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_8676]) ).
tff(c_8704,plain,
neq('#skF_51','#skF_51'),
inference(demodulation,[status(thm),theory(equality)],[c_8681,c_411]) ).
tff(c_8721,plain,
~ ssList('#skF_51'),
inference(resolution,[status(thm)],[c_8704,c_164]) ).
tff(c_8728,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_8721]) ).
tff(c_8729,plain,
app('#skF_50',tl('#skF_51')) = '#skF_51',
inference(splitRight,[status(thm)],[c_5663]) ).
tff(c_9983,plain,
app('#skF_50','#skF_47'('#skF_51')) = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_9974,c_8729]) ).
tff(c_8730,plain,
ssList(tl('#skF_51')),
inference(splitRight,[status(thm)],[c_5663]) ).
tff(c_9984,plain,
ssList('#skF_47'('#skF_51')),
inference(demodulation,[status(thm),theory(equality)],[c_9974,c_8730]) ).
tff(c_8739,plain,
! [U_1692] :
( ( app(nil,U_1692) = U_1692 )
| ~ ssList(U_1692) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_8755,plain,
app(nil,'#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_390,c_8739]) ).
tff(c_37223,plain,
! [W_2354,V_2355,X_2356] :
( segmentP(app(app(W_2354,V_2355),X_2356),V_2355)
| ~ ssList(X_2356)
| ~ ssList(W_2354)
| ~ ssList(V_2355)
| ~ ssList(app(app(W_2354,V_2355),X_2356)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_37507,plain,
! [X_2356] :
( segmentP(app('#skF_50',X_2356),'#skF_50')
| ~ ssList(X_2356)
| ~ ssList(nil)
| ~ ssList('#skF_50')
| ~ ssList(app(app(nil,'#skF_50'),X_2356)) ),
inference(superposition,[status(thm),theory(equality)],[c_8755,c_37223]) ).
tff(c_41196,plain,
! [X_2478] :
( segmentP(app('#skF_50',X_2478),'#skF_50')
| ~ ssList(X_2478)
| ~ ssList(app('#skF_50',X_2478)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8755,c_390,c_168,c_37507]) ).
tff(c_41210,plain,
( segmentP('#skF_51','#skF_50')
| ~ ssList('#skF_47'('#skF_51'))
| ~ ssList(app('#skF_50','#skF_47'('#skF_51'))) ),
inference(superposition,[status(thm),theory(equality)],[c_9983,c_41196]) ).
tff(c_41223,plain,
segmentP('#skF_51','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_9983,c_9984,c_41210]) ).
tff(c_41225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8597,c_41223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC120+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 21:41:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 21.73/9.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.73/9.88
% 21.73/9.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 21.88/9.92
% 21.88/9.92 Inference rules
% 21.88/9.92 ----------------------
% 21.88/9.92 #Ref : 7
% 21.88/9.92 #Sup : 9045
% 21.88/9.92 #Fact : 0
% 21.88/9.92 #Define : 0
% 21.88/9.92 #Split : 91
% 21.88/9.92 #Chain : 0
% 21.88/9.92 #Close : 0
% 21.88/9.92
% 21.88/9.92 Ordering : KBO
% 21.88/9.92
% 21.88/9.92 Simplification rules
% 21.88/9.92 ----------------------
% 21.88/9.92 #Subsume : 1003
% 21.88/9.92 #Demod : 7176
% 21.88/9.92 #Tautology : 2160
% 21.88/9.92 #SimpNegUnit : 609
% 21.88/9.92 #BackRed : 670
% 21.88/9.92
% 21.88/9.92 #Partial instantiations: 0
% 21.88/9.92 #Strategies tried : 1
% 21.88/9.92
% 21.88/9.92 Timing (in seconds)
% 21.88/9.92 ----------------------
% 21.88/9.93 Preprocessing : 0.94
% 21.88/9.93 Parsing : 0.44
% 21.88/9.93 CNF conversion : 0.12
% 21.88/9.93 Main loop : 7.85
% 21.88/9.93 Inferencing : 1.87
% 21.88/9.93 Reduction : 3.16
% 21.88/9.93 Demodulation : 2.28
% 21.88/9.93 BG Simplification : 0.16
% 21.88/9.93 Subsumption : 2.11
% 21.88/9.93 Abstraction : 0.14
% 21.88/9.93 MUC search : 0.00
% 21.88/9.93 Cooper : 0.00
% 21.88/9.93 Total : 8.85
% 21.88/9.93 Index Insertion : 0.00
% 21.88/9.93 Index Deletion : 0.00
% 21.88/9.93 Index Matching : 0.00
% 21.88/9.93 BG Taut test : 0.00
%------------------------------------------------------------------------------