TSTP Solution File: SWC397+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC397+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 : n026.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 11:02:29 EDT 2023
% Result : Theorem 46.33s 30.10s
% Output : CNFRefutation 46.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 89
% Syntax : Number of formulae : 171 ( 46 unt; 78 typ; 0 def)
% Number of atoms : 217 ( 72 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 214 ( 90 ~; 90 |; 4 &)
% ( 3 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 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 : 59 (; 57 !; 2 ?; 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_1021,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ! [Y] :
( ssItem(Y)
=> ( ~ memberP(U,Y)
| memberP(V,Y) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [Z] :
( ssItem(Z)
=> ! [X1] :
( ssList(X1)
=> ( ( app(cons(Z,nil),X1) != W )
| ( app(X1,cons(Z,nil)) != X ) ) ) )
& neq(X,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
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_512,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssList(W)
=> ( memberP(cons(V,W),U)
<=> ( ( U = V )
| memberP(W,U) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
tff(f_318,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ssList(cons(V,U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
tff(f_779,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssList(V)
& ( tl(U) = V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).
tff(f_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_834,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) = app(cons(V,nil),U) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
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_869,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil != U )
=> ( hd(app(U,V)) = hd(U) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
tff(f_498,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( memberP(app(V,W),U)
<=> ( memberP(V,U)
| memberP(W,U) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
tff(c_392,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_388,plain,
memberP('#skF_48','#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_415,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_388]) ).
tff(c_384,plain,
( ( nil != '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_425,plain,
nil != '#skF_51',
inference(splitLeft,[status(thm)],[c_384]) ).
tff(c_396,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_1569,plain,
! [U_1283,V_1284] :
( neq(U_1283,V_1284)
| ( V_1284 = U_1283 )
| ~ ssList(V_1284)
| ~ ssList(U_1283) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_410,plain,
( ssItem('#skF_53')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_432,plain,
~ neq('#skF_51',nil),
inference(splitLeft,[status(thm)],[c_410]) ).
tff(c_1576,plain,
( ( nil = '#skF_51' )
| ~ ssList(nil)
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_1569,c_432]) ).
tff(c_1585,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_168,c_1576]) ).
tff(c_1587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_425,c_1585]) ).
tff(c_1588,plain,
ssItem('#skF_53'),
inference(splitRight,[status(thm)],[c_410]) ).
tff(c_226,plain,
! [V_945,W_947] :
( memberP(cons(V_945,W_947),V_945)
| ~ ssList(W_947)
| ~ ssItem(V_945) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_1589,plain,
neq('#skF_51',nil),
inference(splitRight,[status(thm)],[c_410]) ).
tff(c_408,plain,
( ssList('#skF_54')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_1594,plain,
ssList('#skF_54'),
inference(demodulation,[status(thm),theory(equality)],[c_1589,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_1966,plain,
! [U_1348] :
( ( tl(U_1348) = '#skF_47'(U_1348) )
| ( nil = U_1348 )
| ~ ssList(U_1348) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_2075,plain,
( ( tl('#skF_54') = '#skF_47'('#skF_54') )
| ( nil = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_1594,c_1966]) ).
tff(c_2343,plain,
nil = '#skF_54',
inference(splitLeft,[status(thm)],[c_2075]) ).
tff(c_398,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_1602,plain,
! [U_1295] :
( ( app(nil,U_1295) = U_1295 )
| ~ ssList(U_1295) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_1617,plain,
app(nil,'#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_398,c_1602]) ).
tff(c_2364,plain,
app('#skF_54','#skF_50') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_2343,c_1617]) ).
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_10869,plain,
! [V_1669,U_1670] :
( ( app(cons(V_1669,'#skF_54'),U_1670) = cons(V_1669,U_1670) )
| ~ ssItem(V_1669)
| ~ ssList(U_1670) ),
inference(demodulation,[status(thm),theory(equality)],[c_2343,c_346]) ).
tff(c_406,plain,
( ( app(cons('#skF_53',nil),'#skF_54') = '#skF_50' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_1674,plain,
app(cons('#skF_53',nil),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_1589,c_406]) ).
tff(c_2356,plain,
app(cons('#skF_53','#skF_54'),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_2343,c_1674]) ).
tff(c_10879,plain,
( ( cons('#skF_53','#skF_54') = '#skF_50' )
| ~ ssItem('#skF_53')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_10869,c_2356]) ).
tff(c_10900,plain,
cons('#skF_53','#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_1594,c_1588,c_10879]) ).
tff(c_404,plain,
( ( app('#skF_54',cons('#skF_53',nil)) = '#skF_51' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_1624,plain,
app('#skF_54',cons('#skF_53',nil)) = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_1589,c_404]) ).
tff(c_2366,plain,
app('#skF_54',cons('#skF_53','#skF_54')) = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_2343,c_1624]) ).
tff(c_10909,plain,
app('#skF_54','#skF_50') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_10900,c_2366]) ).
tff(c_10911,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_2364,c_10909]) ).
tff(c_394,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_386,plain,
~ memberP('#skF_49','#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_416,plain,
~ memberP('#skF_51','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_386]) ).
tff(c_11020,plain,
~ memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_10911,c_416]) ).
tff(c_11041,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_415,c_11020]) ).
tff(c_11043,plain,
nil != '#skF_54',
inference(splitRight,[status(thm)],[c_2075]) ).
tff(c_11312,plain,
! [U_1676] :
( ( hd(U_1676) = '#skF_46'(U_1676) )
| ( nil = U_1676 )
| ~ ssList(U_1676) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_11408,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_396,c_11312]) ).
tff(c_11447,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_425,c_11408]) ).
tff(c_11399,plain,
( ( hd('#skF_54') = '#skF_46'('#skF_54') )
| ( nil = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_1594,c_11312]) ).
tff(c_11439,plain,
hd('#skF_54') = '#skF_46'('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_11043,c_11399]) ).
tff(c_46451,plain,
! [U_2779,V_2780] :
( ( hd(app(U_2779,V_2780)) = hd(U_2779) )
| ( nil = U_2779 )
| ~ ssList(V_2780)
| ~ ssList(U_2779) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_46658,plain,
( ( hd('#skF_54') = hd('#skF_51') )
| ( nil = '#skF_54' )
| ~ ssList(cons('#skF_53',nil))
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_1624,c_46451]) ).
tff(c_46853,plain,
( ( '#skF_46'('#skF_54') = '#skF_46'('#skF_51') )
| ( nil = '#skF_54' )
| ~ ssList(cons('#skF_53',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1594,c_11447,c_11439,c_46658]) ).
tff(c_46854,plain,
( ( '#skF_46'('#skF_54') = '#skF_46'('#skF_51') )
| ~ ssList(cons('#skF_53',nil)) ),
inference(negUnitSimplification,[status(thm)],[c_11043,c_46853]) ).
tff(c_46858,plain,
~ ssList(cons('#skF_53',nil)),
inference(splitLeft,[status(thm)],[c_46854]) ).
tff(c_46861,plain,
( ~ ssItem('#skF_53')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_46858]) ).
tff(c_46865,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_1588,c_46861]) ).
tff(c_46867,plain,
ssList(cons('#skF_53',nil)),
inference(splitRight,[status(thm)],[c_46854]) ).
tff(c_50852,plain,
! [W_2832,U_2833,V_2834] :
( ~ memberP(W_2832,U_2833)
| memberP(app(V_2834,W_2832),U_2833)
| ~ ssList(W_2832)
| ~ ssList(V_2834)
| ~ ssItem(U_2833) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_51059,plain,
! [U_2833] :
( ~ memberP(cons('#skF_53',nil),U_2833)
| memberP('#skF_51',U_2833)
| ~ ssList(cons('#skF_53',nil))
| ~ ssList('#skF_54')
| ~ ssItem(U_2833) ),
inference(superposition,[status(thm),theory(equality)],[c_1624,c_50852]) ).
tff(c_55138,plain,
! [U_2905] :
( ~ memberP(cons('#skF_53',nil),U_2905)
| memberP('#skF_51',U_2905)
| ~ ssItem(U_2905) ),
inference(demodulation,[status(thm),theory(equality)],[c_1594,c_46867,c_51059]) ).
tff(c_55146,plain,
( memberP('#skF_51','#skF_53')
| ~ ssList(nil)
| ~ ssItem('#skF_53') ),
inference(resolution,[status(thm)],[c_226,c_55138]) ).
tff(c_55152,plain,
memberP('#skF_51','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_168,c_55146]) ).
tff(c_390,plain,
ssItem('#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1021]) ).
tff(c_46045,plain,
! [V_2757,U_2758] :
( ( app(cons(V_2757,nil),U_2758) = cons(V_2757,U_2758) )
| ~ ssItem(V_2757)
| ~ ssList(U_2758) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_46058,plain,
( ( cons('#skF_53','#skF_54') = '#skF_50' )
| ~ ssItem('#skF_53')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_46045,c_1674]) ).
tff(c_46070,plain,
cons('#skF_53','#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_1594,c_1588,c_46058]) ).
tff(c_58435,plain,
! [W_2948,U_2949,V_2950] :
( memberP(W_2948,U_2949)
| ( V_2950 = U_2949 )
| ~ memberP(cons(V_2950,W_2948),U_2949)
| ~ ssList(W_2948)
| ~ ssItem(V_2950)
| ~ ssItem(U_2949) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_58447,plain,
! [U_2949] :
( memberP('#skF_54',U_2949)
| ( U_2949 = '#skF_53' )
| ~ memberP('#skF_50',U_2949)
| ~ ssList('#skF_54')
| ~ ssItem('#skF_53')
| ~ ssItem(U_2949) ),
inference(superposition,[status(thm),theory(equality)],[c_46070,c_58435]) ).
tff(c_78966,plain,
! [U_3225] :
( memberP('#skF_54',U_3225)
| ( U_3225 = '#skF_53' )
| ~ memberP('#skF_50',U_3225)
| ~ ssItem(U_3225) ),
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_1594,c_58447]) ).
tff(c_48251,plain,
! [V_2810,U_2811,W_2812] :
( ~ memberP(V_2810,U_2811)
| memberP(app(V_2810,W_2812),U_2811)
| ~ ssList(W_2812)
| ~ ssList(V_2810)
| ~ ssItem(U_2811) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_48458,plain,
! [U_2811] :
( ~ memberP('#skF_54',U_2811)
| memberP('#skF_51',U_2811)
| ~ ssList(cons('#skF_53',nil))
| ~ ssList('#skF_54')
| ~ ssItem(U_2811) ),
inference(superposition,[status(thm),theory(equality)],[c_1624,c_48251]) ).
tff(c_48593,plain,
! [U_2811] :
( ~ memberP('#skF_54',U_2811)
| memberP('#skF_51',U_2811)
| ~ ssItem(U_2811) ),
inference(demodulation,[status(thm),theory(equality)],[c_1594,c_46867,c_48458]) ).
tff(c_95524,plain,
! [U_3523] :
( memberP('#skF_51',U_3523)
| ( U_3523 = '#skF_53' )
| ~ memberP('#skF_50',U_3523)
| ~ ssItem(U_3523) ),
inference(resolution,[status(thm)],[c_78966,c_48593]) ).
tff(c_95527,plain,
( ( '#skF_52' = '#skF_53' )
| ~ memberP('#skF_50','#skF_52')
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_95524,c_416]) ).
tff(c_95530,plain,
'#skF_52' = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_415,c_95527]) ).
tff(c_95534,plain,
~ memberP('#skF_51','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_95530,c_416]) ).
tff(c_95540,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55152,c_95534]) ).
tff(c_95541,plain,
nil = '#skF_50',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_95542,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_95557,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_95541,c_95542]) ).
tff(c_95558,plain,
~ memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_95557,c_416]) ).
tff(c_95563,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_415,c_95558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC397+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/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
% 0.13/0.34 % Computer : n026.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 21:44:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 46.33/30.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.33/30.11
% 46.33/30.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 46.53/30.15
% 46.53/30.15 Inference rules
% 46.53/30.15 ----------------------
% 46.53/30.15 #Ref : 5
% 46.53/30.15 #Sup : 20275
% 46.53/30.15 #Fact : 0
% 46.53/30.15 #Define : 0
% 46.53/30.15 #Split : 229
% 46.53/30.15 #Chain : 0
% 46.53/30.15 #Close : 0
% 46.53/30.15
% 46.53/30.15 Ordering : KBO
% 46.53/30.15
% 46.53/30.15 Simplification rules
% 46.53/30.15 ----------------------
% 46.53/30.15 #Subsume : 3745
% 46.53/30.15 #Demod : 21594
% 46.53/30.15 #Tautology : 6534
% 46.53/30.15 #SimpNegUnit : 2776
% 46.53/30.15 #BackRed : 1384
% 46.53/30.15
% 46.53/30.15 #Partial instantiations: 0
% 46.53/30.15 #Strategies tried : 1
% 46.53/30.15
% 46.53/30.15 Timing (in seconds)
% 46.53/30.15 ----------------------
% 46.53/30.15 Preprocessing : 0.99
% 46.53/30.15 Parsing : 0.47
% 46.53/30.15 CNF conversion : 0.12
% 46.53/30.15 Main loop : 28.08
% 46.53/30.15 Inferencing : 5.83
% 46.53/30.15 Reduction : 13.44
% 46.53/30.15 Demodulation : 9.48
% 46.53/30.15 BG Simplification : 0.20
% 46.53/30.15 Subsumption : 6.40
% 46.53/30.15 Abstraction : 0.29
% 46.53/30.15 MUC search : 0.00
% 46.53/30.15 Cooper : 0.00
% 46.53/30.15 Total : 29.14
% 46.53/30.15 Index Insertion : 0.00
% 46.53/30.15 Index Deletion : 0.00
% 46.53/30.15 Index Matching : 0.00
% 46.53/30.15 BG Taut test : 0.00
%------------------------------------------------------------------------------