TSTP Solution File: SWC417+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC417+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 : n021.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 11:02:35 EDT 2023
% Result : Theorem 16.62s 5.75s
% Output : CNFRefutation 16.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 87
% Syntax : Number of formulae : 162 ( 39 unt; 77 typ; 0 def)
% Number of atoms : 195 ( 95 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 204 ( 94 ~; 80 |; 8 &)
% ( 1 <=>; 21 =>; 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 : 55 (; 50 !; 5 ?; 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_1027,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 ) ) ) )
| ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( app(cons(X2,nil),X3) != X )
| ( app(X3,cons(X2,nil)) != W ) ) ) ) )
& ( ~ neq(V,nil)
| 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_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_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_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_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_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_386,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_418,plain,
neq('#skF_49',nil),
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_426,plain,
neq('#skF_51',nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_418]) ).
tff(c_398,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_434,plain,
app(cons('#skF_52',nil),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_426,c_398]) ).
tff(c_390,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_511,plain,
! [U_1314] :
( ( app(U_1314,nil) = U_1314 )
| ~ ssList(U_1314) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_528,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_390,c_511]) ).
tff(c_402,plain,
( ssItem('#skF_52')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_430,plain,
ssItem('#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_402]) ).
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_400,plain,
( ssList('#skF_53')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_432,plain,
ssList('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_400]) ).
tff(c_828,plain,
! [U_1360] :
( ( tl(U_1360) = '#skF_47'(U_1360) )
| ( nil = U_1360 )
| ~ ssList(U_1360) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_933,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_432,c_828]) ).
tff(c_938,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_933]) ).
tff(c_1373,plain,
app('#skF_50','#skF_53') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_938,c_528]) ).
tff(c_396,plain,
( ( app('#skF_53',cons('#skF_52',nil)) = '#skF_50' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_436,plain,
app('#skF_53',cons('#skF_52',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_426,c_396]) ).
tff(c_384,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_404,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)
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_427,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_51' )
| ~ ssList(X1_1289)
| ~ ssList(Z_1287)
| ~ ssItem(Y_1283)
| ~ neq('#skF_51',nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_404]) ).
tff(c_438,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_51' )
| ~ ssList(X1_1289)
| ~ ssList(Z_1287)
| ~ ssItem(Y_1283) ),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_427]) ).
tff(c_476,plain,
! [X1_1309,Y_1310,Z_1311] :
( ( app(app(X1_1309,cons(Y_1310,nil)),Z_1311) != '#skF_50' )
| ( app(app(Z_1311,cons(Y_1310,nil)),X1_1309) != '#skF_51' )
| ~ ssList(X1_1309)
| ~ ssList(Z_1311)
| ~ ssItem(Y_1310) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_438]) ).
tff(c_478,plain,
! [Z_1311] :
( ( app('#skF_50',Z_1311) != '#skF_50' )
| ( app(app(Z_1311,cons('#skF_52',nil)),'#skF_53') != '#skF_51' )
| ~ ssList('#skF_53')
| ~ ssList(Z_1311)
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_436,c_476]) ).
tff(c_626,plain,
! [Z_1324] :
( ( app('#skF_50',Z_1324) != '#skF_50' )
| ( app(app(Z_1324,cons('#skF_52',nil)),'#skF_53') != '#skF_51' )
| ~ ssList(Z_1324) ),
inference(demodulation,[status(thm),theory(equality)],[c_430,c_432,c_478]) ).
tff(c_629,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_436,c_626]) ).
tff(c_631,plain,
( ( app('#skF_50','#skF_53') != '#skF_50' )
| ( app('#skF_50','#skF_53') != '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_432,c_629]) ).
tff(c_689,plain,
app('#skF_50','#skF_53') != '#skF_51',
inference(splitLeft,[status(thm)],[c_631]) ).
tff(c_3162,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_1373,c_689]) ).
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_9773,plain,
! [V_1771,U_1772] :
( ( app(cons(V_1771,'#skF_53'),U_1772) = cons(V_1771,U_1772) )
| ~ ssItem(V_1771)
| ~ ssList(U_1772) ),
inference(demodulation,[status(thm),theory(equality)],[c_938,c_346]) ).
tff(c_1395,plain,
app(cons('#skF_52','#skF_53'),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_938,c_434]) ).
tff(c_9834,plain,
( ( cons('#skF_52','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_9773,c_1395]) ).
tff(c_9863,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_432,c_430,c_9834]) ).
tff(c_1391,plain,
app('#skF_53',cons('#skF_52','#skF_53')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_938,c_436]) ).
tff(c_9872,plain,
app('#skF_53','#skF_51') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_9863,c_1391]) ).
tff(c_388,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1027]) ).
tff(c_482,plain,
! [U_1313] :
( ( app(nil,U_1313) = U_1313 )
| ~ ssList(U_1313) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_497,plain,
app(nil,'#skF_51') = '#skF_51',
inference(resolution,[status(thm)],[c_388,c_482]) ).
tff(c_1378,plain,
app('#skF_53','#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_938,c_497]) ).
tff(c_9995,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_9872,c_1378]) ).
tff(c_9997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3162,c_9995]) ).
tff(c_9999,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_933]) ).
tff(c_10258,plain,
! [U_1780] :
( ( hd(U_1780) = '#skF_46'(U_1780) )
| ( nil = U_1780 )
| ~ ssList(U_1780) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_10333,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_432,c_10258]) ).
tff(c_10369,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_9999,c_10333]) ).
tff(c_937,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_828]) ).
tff(c_10400,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_937]) ).
tff(c_10403,plain,
'#skF_53' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_10400,c_9999]) ).
tff(c_10433,plain,
app('#skF_53',cons('#skF_52','#skF_50')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_10400,c_436]) ).
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_12599,plain,
! [U_1873,V_1874] :
( ( U_1873 = '#skF_50' )
| ( app(U_1873,V_1874) != '#skF_50' )
| ~ ssList(V_1874)
| ~ ssList(U_1873) ),
inference(demodulation,[status(thm),theory(equality)],[c_10400,c_10400,c_352]) ).
tff(c_12609,plain,
( ( '#skF_53' = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_10433,c_12599]) ).
tff(c_12634,plain,
( ( '#skF_53' = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_432,c_12609]) ).
tff(c_12635,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_10403,c_12634]) ).
tff(c_12654,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_12635]) ).
tff(c_12658,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_430,c_12654]) ).
tff(c_12660,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_937]) ).
tff(c_10373,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_10258]) ).
tff(c_12698,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_12660,c_10373]) ).
tff(c_23908,plain,
! [U_2301,V_2302] :
( ( hd(app(U_2301,V_2302)) = hd(U_2301) )
| ( nil = U_2301 )
| ~ ssList(V_2302)
| ~ ssList(U_2301) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_24076,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_436,c_23908]) ).
tff(c_24236,plain,
( ( '#skF_46'('#skF_53') = '#skF_46'('#skF_50') )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_432,c_10369,c_12698,c_24076]) ).
tff(c_24237,plain,
( ( '#skF_46'('#skF_53') = '#skF_46'('#skF_50') )
| ~ ssList(cons('#skF_52',nil)) ),
inference(negUnitSimplification,[status(thm)],[c_9999,c_24236]) ).
tff(c_24240,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_24237]) ).
tff(c_24243,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_24240]) ).
tff(c_24247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_430,c_24243]) ).
tff(c_24249,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_24237]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_24293,plain,
app(nil,cons('#skF_52',nil)) = cons('#skF_52',nil),
inference(resolution,[status(thm)],[c_24249,c_196]) ).
tff(c_480,plain,
! [Z_1311] :
( ( app('#skF_50',Z_1311) != '#skF_50' )
| ( app(app(Z_1311,cons('#skF_52',nil)),'#skF_53') != '#skF_51' )
| ~ ssList(Z_1311) ),
inference(demodulation,[status(thm),theory(equality)],[c_430,c_432,c_478]) ).
tff(c_24808,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_24293,c_480]) ).
tff(c_24827,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_434,c_528,c_24808]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC417+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n021.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 21:31:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 16.62/5.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.62/5.76
% 16.62/5.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.78/5.79
% 16.78/5.79 Inference rules
% 16.78/5.79 ----------------------
% 16.78/5.79 #Ref : 0
% 16.78/5.79 #Sup : 5499
% 16.78/5.79 #Fact : 0
% 16.78/5.79 #Define : 0
% 16.78/5.79 #Split : 101
% 16.78/5.79 #Chain : 0
% 16.78/5.79 #Close : 0
% 16.78/5.79
% 16.78/5.79 Ordering : KBO
% 16.78/5.79
% 16.78/5.79 Simplification rules
% 16.78/5.79 ----------------------
% 16.78/5.79 #Subsume : 856
% 16.78/5.79 #Demod : 4202
% 16.78/5.79 #Tautology : 2010
% 16.78/5.79 #SimpNegUnit : 355
% 16.78/5.79 #BackRed : 397
% 16.78/5.79
% 16.78/5.79 #Partial instantiations: 0
% 16.78/5.79 #Strategies tried : 1
% 16.78/5.79
% 16.78/5.79 Timing (in seconds)
% 16.78/5.79 ----------------------
% 16.78/5.80 Preprocessing : 0.88
% 16.78/5.80 Parsing : 0.41
% 16.78/5.80 CNF conversion : 0.11
% 16.78/5.80 Main loop : 3.80
% 16.78/5.80 Inferencing : 1.20
% 16.78/5.80 Reduction : 1.37
% 16.78/5.80 Demodulation : 1.01
% 16.78/5.80 BG Simplification : 0.11
% 16.78/5.80 Subsumption : 0.80
% 16.78/5.80 Abstraction : 0.09
% 16.78/5.80 MUC search : 0.00
% 16.78/5.80 Cooper : 0.00
% 16.78/5.80 Total : 4.73
% 16.78/5.80 Index Insertion : 0.00
% 16.78/5.80 Index Deletion : 0.00
% 16.78/5.80 Index Matching : 0.00
% 16.78/5.80 BG Taut test : 0.00
%------------------------------------------------------------------------------