TSTP Solution File: SWC419+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC419+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 : n027.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 11:02:36 EDT 2023
% Result : Theorem 17.82s 5.75s
% Output : CNFRefutation 17.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 87
% Syntax : Number of formulae : 160 ( 39 unt; 77 typ; 0 def)
% Number of atoms : 184 ( 87 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 190 ( 89 ~; 73 |; 8 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 4 ( 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 : 58 ( 58 usr; 9 con; 0-2 aty)
% Number of variables : 52 (; 48 !; 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_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_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_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_319,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_1031,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ~ neq(V,nil)
| ? [Y] :
( ssItem(Y)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& ( app(app(Z,cons(Y,nil)),X1) = V )
& ( app(app(X1,cons(Y,nil)),Z) = U ) ) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ~ ssList(X3)
| ( app(cons(X2,nil),X3) != X )
| ( app(X3,cons(X2,nil)) != W ) ) )
& neq(X,nil) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
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_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_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_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
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_869,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil != U )
=> ( hd(app(U,V)) = hd(U) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_392,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_388,plain,
neq('#skF_49',nil),
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_413,plain,
neq('#skF_51',nil),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_388]) ).
tff(c_404,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_421,plain,
app(cons('#skF_52',nil),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_413,c_404]) ).
tff(c_396,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_492,plain,
! [U_1311] :
( ( app(U_1311,nil) = U_1311 )
| ~ ssList(U_1311) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_508,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_396,c_492]) ).
tff(c_408,plain,
( ssItem('#skF_52')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_415,plain,
ssItem('#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_413,c_408]) ).
tff(c_166,plain,
! [V_861,U_859] :
( ssList(cons(V_861,U_859))
| ~ ssItem(V_861)
| ~ ssList(U_859) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_406,plain,
( ssList('#skF_53')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_419,plain,
ssList('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_413,c_406]) ).
tff(c_864,plain,
! [U_1362] :
( ( hd(U_1362) = '#skF_46'(U_1362) )
| ( nil = U_1362 )
| ~ ssList(U_1362) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_975,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_419,c_864]) ).
tff(c_990,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_975]) ).
tff(c_1004,plain,
app('#skF_50','#skF_53') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_990,c_508]) ).
tff(c_402,plain,
( ( app('#skF_53',cons('#skF_52',nil)) = '#skF_50' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_417,plain,
app('#skF_53',cons('#skF_52',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_413,c_402]) ).
tff(c_390,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_386,plain,
! [X1_1289,Y_1283,Z_1287] :
( ( app(app(X1_1289,cons(Y_1283,nil)),Z_1287) != '#skF_48' )
| ( app(app(Z_1287,cons(Y_1283,nil)),X1_1289) != '#skF_49' )
| ~ ssList(X1_1289)
| ~ ssList(Z_1287)
| ~ ssItem(Y_1283) ),
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_578,plain,
! [X1_1320,Y_1321,Z_1322] :
( ( app(app(X1_1320,cons(Y_1321,nil)),Z_1322) != '#skF_50' )
| ( app(app(Z_1322,cons(Y_1321,nil)),X1_1320) != '#skF_51' )
| ~ ssList(X1_1320)
| ~ ssList(Z_1322)
| ~ ssItem(Y_1321) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_390,c_386]) ).
tff(c_580,plain,
! [Z_1322] :
( ( app('#skF_50',Z_1322) != '#skF_50' )
| ( app(app(Z_1322,cons('#skF_52',nil)),'#skF_53') != '#skF_51' )
| ~ ssList('#skF_53')
| ~ ssList(Z_1322)
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_417,c_578]) ).
tff(c_624,plain,
! [Z_1332] :
( ( app('#skF_50',Z_1332) != '#skF_50' )
| ( app(app(Z_1332,cons('#skF_52',nil)),'#skF_53') != '#skF_51' )
| ~ ssList(Z_1332) ),
inference(demodulation,[status(thm),theory(equality)],[c_415,c_419,c_580]) ).
tff(c_627,plain,
( ( app('#skF_50','#skF_53') != '#skF_50' )
| ( app('#skF_50','#skF_53') != '#skF_51' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_417,c_624]) ).
tff(c_629,plain,
( ( app('#skF_50','#skF_53') != '#skF_50' )
| ( app('#skF_50','#skF_53') != '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_627]) ).
tff(c_695,plain,
app('#skF_50','#skF_53') != '#skF_51',
inference(splitLeft,[status(thm)],[c_629]) ).
tff(c_2464,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_1004,c_695]) ).
tff(c_346,plain,
! [V_1069,U_1067] :
( ( app(cons(V_1069,nil),U_1067) = cons(V_1069,U_1067) )
| ~ ssItem(V_1069)
| ~ ssList(U_1067) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_6717,plain,
! [V_1627,U_1628] :
( ( app(cons(V_1627,'#skF_53'),U_1628) = cons(V_1627,U_1628) )
| ~ ssItem(V_1627)
| ~ ssList(U_1628) ),
inference(demodulation,[status(thm),theory(equality)],[c_990,c_346]) ).
tff(c_1021,plain,
app(cons('#skF_52','#skF_53'),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_990,c_421]) ).
tff(c_6768,plain,
( ( cons('#skF_52','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_6717,c_1021]) ).
tff(c_6790,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_419,c_415,c_6768]) ).
tff(c_1014,plain,
app('#skF_53',cons('#skF_52','#skF_53')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_990,c_417]) ).
tff(c_6798,plain,
app('#skF_53','#skF_51') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_6790,c_1014]) ).
tff(c_394,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1031]) ).
tff(c_458,plain,
! [U_1309] :
( ( app(nil,U_1309) = U_1309 )
| ~ ssList(U_1309) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_474,plain,
app(nil,'#skF_51') = '#skF_51',
inference(resolution,[status(thm)],[c_394,c_458]) ).
tff(c_1007,plain,
app('#skF_53','#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_990,c_474]) ).
tff(c_6914,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_6798,c_1007]) ).
tff(c_6916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2464,c_6914]) ).
tff(c_6918,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_975]) ).
tff(c_6917,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(splitRight,[status(thm)],[c_975]) ).
tff(c_976,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_396,c_864]) ).
tff(c_6929,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_976]) ).
tff(c_7068,plain,
app('#skF_53',cons('#skF_52','#skF_50')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_6929,c_417]) ).
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_8113,plain,
! [V_1686,U_1687] :
( ( V_1686 = '#skF_50' )
| ( app(U_1687,V_1686) != '#skF_50' )
| ~ ssList(V_1686)
| ~ ssList(U_1687) ),
inference(demodulation,[status(thm),theory(equality)],[c_6929,c_6929,c_354]) ).
tff(c_8121,plain,
( ( cons('#skF_52','#skF_50') = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_7068,c_8113]) ).
tff(c_8142,plain,
( ( cons('#skF_52','#skF_50') = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_8121]) ).
tff(c_8157,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(splitLeft,[status(thm)],[c_8142]) ).
tff(c_8160,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_8157]) ).
tff(c_8164,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_415,c_8160]) ).
tff(c_8165,plain,
cons('#skF_52','#skF_50') = '#skF_50',
inference(splitRight,[status(thm)],[c_8142]) ).
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_7607,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_6929,c_182]) ).
tff(c_8212,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_8165,c_7607]) ).
tff(c_8251,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_415,c_8212]) ).
tff(c_8252,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(splitRight,[status(thm)],[c_976]) ).
tff(c_14646,plain,
! [U_1952,V_1953] :
( ( hd(app(U_1952,V_1953)) = hd(U_1952) )
| ( nil = U_1952 )
| ~ ssList(V_1953)
| ~ ssList(U_1952) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_14856,plain,
( ( hd('#skF_53') = hd('#skF_50') )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_417,c_14646]) ).
tff(c_15058,plain,
( ( '#skF_46'('#skF_53') = '#skF_46'('#skF_50') )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_6917,c_8252,c_14856]) ).
tff(c_15059,plain,
( ( '#skF_46'('#skF_53') = '#skF_46'('#skF_50') )
| ~ ssList(cons('#skF_52',nil)) ),
inference(negUnitSimplification,[status(thm)],[c_6918,c_15058]) ).
tff(c_15062,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_15059]) ).
tff(c_15065,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_15062]) ).
tff(c_15069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_415,c_15065]) ).
tff(c_15071,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_15059]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_15115,plain,
app(nil,cons('#skF_52',nil)) = cons('#skF_52',nil),
inference(resolution,[status(thm)],[c_15071,c_196]) ).
tff(c_582,plain,
! [Z_1322] :
( ( app('#skF_50',Z_1322) != '#skF_50' )
| ( app(app(Z_1322,cons('#skF_52',nil)),'#skF_53') != '#skF_51' )
| ~ ssList(Z_1322) ),
inference(demodulation,[status(thm),theory(equality)],[c_415,c_419,c_580]) ).
tff(c_15422,plain,
( ( app('#skF_50',nil) != '#skF_50' )
| ( app(cons('#skF_52',nil),'#skF_53') != '#skF_51' )
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_15115,c_582]) ).
tff(c_15441,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_421,c_508,c_15422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC419+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
% 0.13/0.34 % Computer : n027.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 21:39:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 17.82/5.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.82/5.76
% 17.82/5.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.82/5.80
% 17.82/5.80 Inference rules
% 17.82/5.80 ----------------------
% 17.82/5.80 #Ref : 0
% 17.82/5.80 #Sup : 3401
% 17.82/5.80 #Fact : 0
% 17.82/5.80 #Define : 0
% 17.82/5.80 #Split : 75
% 17.82/5.80 #Chain : 0
% 17.82/5.80 #Close : 0
% 17.82/5.80
% 17.82/5.80 Ordering : KBO
% 17.82/5.80
% 17.82/5.80 Simplification rules
% 17.82/5.80 ----------------------
% 17.82/5.80 #Subsume : 487
% 17.82/5.80 #Demod : 2485
% 17.82/5.80 #Tautology : 1278
% 17.82/5.80 #SimpNegUnit : 278
% 17.82/5.80 #BackRed : 204
% 17.82/5.80
% 17.82/5.80 #Partial instantiations: 0
% 17.82/5.80 #Strategies tried : 1
% 17.82/5.80
% 17.82/5.80 Timing (in seconds)
% 17.82/5.80 ----------------------
% 17.82/5.80 Preprocessing : 1.33
% 17.82/5.80 Parsing : 0.67
% 17.82/5.80 CNF conversion : 0.17
% 17.82/5.80 Main loop : 3.25
% 17.82/5.80 Inferencing : 1.03
% 17.82/5.80 Reduction : 1.11
% 17.82/5.80 Demodulation : 0.79
% 17.82/5.80 BG Simplification : 0.14
% 17.82/5.80 Subsumption : 0.70
% 17.82/5.80 Abstraction : 0.09
% 17.82/5.80 MUC search : 0.00
% 17.82/5.80 Cooper : 0.00
% 17.82/5.80 Total : 4.65
% 17.82/5.80 Index Insertion : 0.00
% 17.82/5.80 Index Deletion : 0.00
% 17.82/5.80 Index Matching : 0.00
% 17.82/5.80 BG Taut test : 0.00
%------------------------------------------------------------------------------