TSTP Solution File: SWC295+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC295+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 : n005.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 11:02:00 EDT 2023
% Result : Theorem 197.73s 176.41s
% Output : CNFRefutation 198.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 123
% Syntax : Number of formulae : 1309 ( 508 unt; 80 typ; 0 def)
% Number of atoms : 2914 ( 959 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 3213 (1528 ~;1545 |; 26 &)
% ( 11 <=>; 103 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 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 : 61 ( 61 usr; 12 con; 0-2 aty)
% Number of variables : 623 (; 613 !; 10 ?; 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_55 > #skF_22 > #skF_37 > #skF_56 > #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_55',type,
'#skF_55': $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('#skF_56',type,
'#skF_56': $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_1044,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ssList(Z)
=> ! [X1] :
( ssList(X1)
=> ( ( app(app(Z,cons(Y,nil)),X1) != U )
| ! [X2] :
( ssItem(X2)
=> ( ( ~ memberP(Z,X2)
| lt(X2,Y) )
& ( ~ memberP(X1,X2)
| lt(Y,X2) ) ) ) ) ) ) )
| ( ! [X3] :
( ssItem(X3)
=> ( ( cons(X3,nil) != W )
| ~ memberP(X,X3)
| ? [X4] :
( ssItem(X4)
& ( X3 != X4 )
& memberP(X,X4)
& leq(X3,X4) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
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_399,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
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_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_517,axiom,
! [U] :
( ssItem(U)
=> ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
tff(f_855,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil = app(U,V) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
tff(f_327,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) != U ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
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_364,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( nil != cons(V,U) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
tff(f_827,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( ( app(V,W) = app(V,U) )
=> ( W = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
tff(f_378,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( hd(cons(V,U)) = V ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
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_108,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( frontsegP(U,V)
<=> ? [W] :
( ssList(W)
& ( app(V,W) = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
tff(f_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_392,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( tl(cons(V,U)) = U ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
tff(f_442,axiom,
! [U] :
( ssItem(U)
=> leq(U,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).
tff(f_728,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssList(V)
=> ( totalorderedP(cons(U,V))
<=> ( ( nil = V )
| ( ( nil != V )
& totalorderedP(V)
& leq(U,hd(V)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).
tff(f_711,axiom,
! [U] :
( ssItem(U)
=> totalorderedP(cons(U,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax65) ).
tff(f_87,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( memberP(U,V)
<=> ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& ( app(W,cons(V,X)) = U ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
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(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_950,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( lt(U,V)
<=> ( ( U != V )
& leq(U,V) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).
tff(f_844,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( app(app(U,V),W) = app(U,app(V,W)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
tff(f_120,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( rearsegP(U,V)
<=> ? [W] :
( ssList(W)
& ( app(W,V) = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).
tff(f_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
tff(f_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
tff(f_803,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ( cons(hd(U),tl(U)) = U ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
tff(f_344,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssItem(W)
=> ! [X] :
( ssItem(X)
=> ( ( cons(W,U) = cons(X,V) )
=> ( ( W = X )
& ( V = U ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax19) ).
tff(f_879,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil != U )
=> ( tl(app(U,V)) = app(tl(U),V) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
tff(f_96,axiom,
! [U] :
( ssList(U)
=> ( singletonP(U)
<=> ? [V] :
( ssItem(V)
& ( cons(V,nil) = U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
tff(f_696,axiom,
! [U] :
( ssItem(U)
=> cyclefreeP(cons(U,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax59) ).
tff(f_577,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( frontsegP(cons(U,W),cons(V,X))
<=> ( ( U = V )
& frontsegP(W,X) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
tff(f_544,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( frontsegP(U,V)
& frontsegP(V,U) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
tff(f_815,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( ( app(W,V) = app(U,V) )
=> ( W = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
tff(f_796,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( ( nil != V )
& ( nil != U )
& ( hd(V) = hd(U) )
& ( tl(V) = tl(U) ) )
=> ( V = U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax77) ).
tff(f_663,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( segmentP(U,V)
& segmentP(V,U) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
tff(f_758,axiom,
! [U] :
( ssItem(U)
=> equalelemsP(cons(U,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax73) ).
tff(f_612,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( rearsegP(U,V)
& rearsegP(V,U) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax48) ).
tff(f_560,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( frontsegP(U,V)
=> frontsegP(app(U,W),V) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
tff(c_388,plain,
ssList('#skF_54'),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_400,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_392,plain,
ssItem('#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
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_390,plain,
ssList('#skF_53'),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_192,plain,
! [U_896,V_898] :
( ssList(app(U_896,V_898))
| ~ ssList(V_898)
| ~ ssList(U_896) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_420,plain,
( ssItem('#skF_56')
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_442,plain,
nil = '#skF_51',
inference(splitLeft,[status(thm)],[c_420]) ).
tff(c_412,plain,
( ssItem('#skF_56')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_457,plain,
( ssItem('#skF_56')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_442,c_412]) ).
tff(c_458,plain,
'#skF_51' = '#skF_50',
inference(splitLeft,[status(thm)],[c_457]) ).
tff(c_467,plain,
nil = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_458,c_442]) ).
tff(c_334,plain,
! [U_1047] :
( ( tl(U_1047) = '#skF_47'(U_1047) )
| ( nil = U_1047 )
| ~ ssList(U_1047) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_3578,plain,
! [U_1633] :
( ( tl(U_1633) = '#skF_47'(U_1633) )
| ( U_1633 = '#skF_50' )
| ~ ssList(U_1633) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_334]) ).
tff(c_3688,plain,
( ( tl('#skF_54') = '#skF_47'('#skF_54') )
| ( '#skF_54' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_388,c_3578]) ).
tff(c_3692,plain,
'#skF_54' = '#skF_50',
inference(splitLeft,[status(thm)],[c_3688]) ).
tff(c_384,plain,
ssItem('#skF_55'),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_330,plain,
! [U_1045] :
( ( hd(U_1045) = '#skF_46'(U_1045) )
| ( nil = U_1045 )
| ~ ssList(U_1045) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_903,plain,
! [U_1485] :
( ( hd(U_1485) = '#skF_46'(U_1485) )
| ( U_1485 = '#skF_50' )
| ~ ssList(U_1485) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_330]) ).
tff(c_1009,plain,
( ( hd('#skF_54') = '#skF_46'('#skF_54') )
| ( '#skF_54' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_388,c_903]) ).
tff(c_1013,plain,
'#skF_54' = '#skF_50',
inference(splitLeft,[status(thm)],[c_1009]) ).
tff(c_428,plain,
( memberP('#skF_53','#skF_55')
| memberP('#skF_54','#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_532,plain,
memberP('#skF_54','#skF_55'),
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_1016,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_1013,c_532]) ).
tff(c_228,plain,
! [U_948] :
( ~ memberP(nil,U_948)
| ~ ssItem(U_948) ),
inference(cnfTransformation,[status(thm)],[f_517]) ).
tff(c_486,plain,
! [U_948] :
( ~ memberP('#skF_50',U_948)
| ~ ssItem(U_948) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_228]) ).
tff(c_1028,plain,
~ ssItem('#skF_55'),
inference(resolution,[status(thm)],[c_1016,c_486]) ).
tff(c_1032,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_1028]) ).
tff(c_1034,plain,
'#skF_54' != '#skF_50',
inference(splitRight,[status(thm)],[c_1009]) ).
tff(c_394,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_386,plain,
app(app('#skF_53',cons('#skF_52',nil)),'#skF_54') = '#skF_48',
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_433,plain,
app(app('#skF_53',cons('#skF_52',nil)),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_386]) ).
tff(c_697,plain,
app(app('#skF_53',cons('#skF_52','#skF_50')),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_467,c_433]) ).
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_3152,plain,
! [V_1576,U_1577] :
( ( V_1576 = '#skF_50' )
| ( app(U_1577,V_1576) != '#skF_50' )
| ~ ssList(V_1576)
| ~ ssList(U_1577) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_467,c_354]) ).
tff(c_3154,plain,
( ( '#skF_54' = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(superposition,[status(thm),theory(equality)],[c_697,c_3152]) ).
tff(c_3167,plain,
( ( '#skF_54' = '#skF_50' )
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_3154]) ).
tff(c_3168,plain,
~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))),
inference(negUnitSimplification,[status(thm)],[c_1034,c_3167]) ).
tff(c_3185,plain,
( ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_3168]) ).
tff(c_3188,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_3185]) ).
tff(c_3191,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_3188]) ).
tff(c_3195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_392,c_3191]) ).
tff(c_3197,plain,
~ memberP('#skF_54','#skF_55'),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_3695,plain,
~ memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_3692,c_3197]) ).
tff(c_3689,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( '#skF_53' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_3578]) ).
tff(c_3705,plain,
'#skF_53' = '#skF_50',
inference(splitLeft,[status(thm)],[c_3689]) ).
tff(c_3196,plain,
memberP('#skF_53','#skF_55'),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_3708,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_3705,c_3196]) ).
tff(c_3713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3695,c_3708]) ).
tff(c_3715,plain,
'#skF_53' != '#skF_50',
inference(splitRight,[status(thm)],[c_3689]) ).
tff(c_3400,plain,
app(app('#skF_53',cons('#skF_52','#skF_50')),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_467,c_433]) ).
tff(c_3693,plain,
app(app('#skF_53',cons('#skF_52','#skF_50')),'#skF_50') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_3692,c_3400]) ).
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_5406,plain,
! [U_1711,V_1712] :
( ( U_1711 = '#skF_50' )
| ( app(U_1711,V_1712) != '#skF_50' )
| ~ ssList(V_1712)
| ~ ssList(U_1711) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_467,c_352]) ).
tff(c_5408,plain,
( ( app('#skF_53',cons('#skF_52','#skF_50')) = '#skF_50' )
| ~ ssList('#skF_50')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(superposition,[status(thm),theory(equality)],[c_3693,c_5406]) ).
tff(c_5417,plain,
( ( app('#skF_53',cons('#skF_52','#skF_50')) = '#skF_50' )
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_5408]) ).
tff(c_5469,plain,
~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))),
inference(splitLeft,[status(thm)],[c_5417]) ).
tff(c_5472,plain,
( ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_5469]) ).
tff(c_5475,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5472]) ).
tff(c_5478,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_5475]) ).
tff(c_5482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_392,c_5478]) ).
tff(c_5483,plain,
app('#skF_53',cons('#skF_52','#skF_50')) = '#skF_50',
inference(splitRight,[status(thm)],[c_5417]) ).
tff(c_5405,plain,
! [U_1077,V_1079] :
( ( U_1077 = '#skF_50' )
| ( app(U_1077,V_1079) != '#skF_50' )
| ~ ssList(V_1079)
| ~ ssList(U_1077) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_467,c_352]) ).
tff(c_5532,plain,
( ( '#skF_53' = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_5483,c_5405]) ).
tff(c_5542,plain,
( ( '#skF_53' = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5532]) ).
tff(c_5543,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_3715,c_5542]) ).
tff(c_5552,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_5543]) ).
tff(c_5556,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_392,c_5552]) ).
tff(c_5558,plain,
'#skF_54' != '#skF_50',
inference(splitRight,[status(thm)],[c_3688]) ).
tff(c_7656,plain,
! [V_1775,U_1776] :
( ( V_1775 = '#skF_50' )
| ( app(U_1776,V_1775) != '#skF_50' )
| ~ ssList(V_1775)
| ~ ssList(U_1776) ),
inference(demodulation,[status(thm),theory(equality)],[c_467,c_467,c_354]) ).
tff(c_7666,plain,
( ( '#skF_54' = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(superposition,[status(thm),theory(equality)],[c_3400,c_7656]) ).
tff(c_7689,plain,
( ( '#skF_54' = '#skF_50' )
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_7666]) ).
tff(c_7690,plain,
~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))),
inference(negUnitSimplification,[status(thm)],[c_5558,c_7689]) ).
tff(c_7707,plain,
( ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_7690]) ).
tff(c_7710,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_7707]) ).
tff(c_7713,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_7710]) ).
tff(c_7717,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_392,c_7713]) ).
tff(c_7718,plain,
ssItem('#skF_56'),
inference(splitRight,[status(thm)],[c_457]) ).
tff(c_7719,plain,
'#skF_51' != '#skF_50',
inference(splitRight,[status(thm)],[c_457]) ).
tff(c_408,plain,
( memberP('#skF_51','#skF_56')
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_7727,plain,
( memberP('#skF_51','#skF_56')
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_442,c_408]) ).
tff(c_7728,plain,
memberP('#skF_51','#skF_56'),
inference(negUnitSimplification,[status(thm)],[c_7719,c_7727]) ).
tff(c_7730,plain,
! [U_1782] :
( ~ memberP('#skF_51',U_1782)
| ~ ssItem(U_1782) ),
inference(demodulation,[status(thm),theory(equality)],[c_442,c_228]) ).
tff(c_7733,plain,
~ ssItem('#skF_56'),
inference(resolution,[status(thm)],[c_7728,c_7730]) ).
tff(c_7737,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7718,c_7733]) ).
tff(c_7738,plain,
ssItem('#skF_56'),
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_410,plain,
( ( cons('#skF_56',nil) = '#skF_50' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_7745,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_410]) ).
tff(c_7739,plain,
nil != '#skF_51',
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_7747,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_7745,c_7739]) ).
tff(c_418,plain,
( ( cons('#skF_56',nil) = '#skF_50' )
| ( nil = '#skF_51' ) ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_7800,plain,
( ( cons('#skF_56','#skF_50') = '#skF_50' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7745,c_7745,c_418]) ).
tff(c_7801,plain,
cons('#skF_56','#skF_50') = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_7747,c_7800]) ).
tff(c_8200,plain,
! [V_1850,U_1851] :
( ( cons(V_1850,U_1851) != U_1851 )
| ~ ssItem(V_1850)
| ~ ssList(U_1851) ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_8202,plain,
( ~ ssItem('#skF_56')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_7801,c_8200]) ).
tff(c_8206,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_7738,c_8202]) ).
tff(c_8207,plain,
cons('#skF_56',nil) = '#skF_50',
inference(splitRight,[status(thm)],[c_410]) ).
tff(c_752600,plain,
! [V_12836,U_12837] :
( ( app(cons(V_12836,nil),U_12837) = cons(V_12836,U_12837) )
| ~ ssItem(V_12836)
| ~ ssList(U_12837) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_752625,plain,
! [U_12837] :
( ( cons('#skF_56',U_12837) = app('#skF_50',U_12837) )
| ~ ssItem('#skF_56')
| ~ ssList(U_12837) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_752600]) ).
tff(c_752634,plain,
! [U_12838] :
( ( cons('#skF_56',U_12838) = app('#skF_50',U_12838) )
| ~ ssList(U_12838) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_752625]) ).
tff(c_752786,plain,
cons('#skF_56','#skF_54') = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_388,c_752634]) ).
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_752805,plain,
( ( app('#skF_50','#skF_54') != nil )
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_752786,c_182]) ).
tff(c_752820,plain,
app('#skF_50','#skF_54') != nil,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_7738,c_752805]) ).
tff(c_752808,plain,
( ssList(app('#skF_50','#skF_54'))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_752786,c_166]) ).
tff(c_752822,plain,
ssList(app('#skF_50','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_7738,c_752808]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_600279,plain,
! [U_10321] :
( ( app(U_10321,nil) = U_10321 )
| ~ ssList(U_10321) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_600298,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_400,c_600279]) ).
tff(c_756586,plain,
! [W_12878,U_12879,V_12880] :
( ( W_12878 = U_12879 )
| ( app(V_12880,W_12878) != app(V_12880,U_12879) )
| ~ ssList(W_12878)
| ~ ssList(V_12880)
| ~ ssList(U_12879) ),
inference(cnfTransformation,[status(thm)],[f_827]) ).
tff(c_756830,plain,
! [W_12878] :
( ( nil = W_12878 )
| ( app('#skF_50',W_12878) != '#skF_50' )
| ~ ssList(W_12878)
| ~ ssList('#skF_50')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_600298,c_756586]) ).
tff(c_768088,plain,
! [W_13034] :
( ( nil = W_13034 )
| ( app('#skF_50',W_13034) != '#skF_50' )
| ~ ssList(W_13034) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_400,c_756830]) ).
tff(c_768109,plain,
( ( app('#skF_50','#skF_54') = nil )
| ( app('#skF_50',app('#skF_50','#skF_54')) != '#skF_50' ) ),
inference(resolution,[status(thm)],[c_752822,c_768088]) ).
tff(c_768243,plain,
app('#skF_50',app('#skF_50','#skF_54')) != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_752820,c_768109]) ).
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_775471,plain,
! [W_13128,V_13129,X_13130] :
( segmentP(app(app(W_13128,V_13129),X_13130),V_13129)
| ~ ssList(X_13130)
| ~ ssList(W_13128)
| ~ ssList(V_13129)
| ~ ssList(app(app(W_13128,V_13129),X_13130)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_775716,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList(app(app('#skF_53',cons('#skF_52',nil)),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_775471]) ).
tff(c_775863,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_433,c_390,c_388,c_775716]) ).
tff(c_778704,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_775863]) ).
tff(c_778707,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_778704]) ).
tff(c_778711,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_778707]) ).
tff(c_778713,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_775863]) ).
tff(c_8208,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_410]) ).
tff(c_600852,plain,
! [U_10375] :
( ( hd(U_10375) = '#skF_46'(U_10375) )
| ( nil = U_10375 )
| ~ ssList(U_10375) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_600942,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_400,c_600852]) ).
tff(c_600978,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_8208,c_600942]) ).
tff(c_705232,plain,
! [V_12129,U_12130] :
( ( hd(cons(V_12129,U_12130)) = V_12129 )
| ~ ssItem(V_12129)
| ~ ssList(U_12130) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_705244,plain,
( ( hd('#skF_50') = '#skF_56' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_705232]) ).
tff(c_705248,plain,
'#skF_46'('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_600978,c_705244]) ).
tff(c_705250,plain,
hd('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_705248,c_600978]) ).
tff(c_753888,plain,
! [U_12853,V_12854] :
( ( hd(app(U_12853,V_12854)) = hd(U_12853) )
| ( nil = U_12853 )
| ~ ssList(V_12854)
| ~ ssList(U_12853) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_754074,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = hd('#skF_50') )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_753888]) ).
tff(c_754273,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56' )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_705250,c_754074]) ).
tff(c_754325,plain,
~ ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitLeft,[status(thm)],[c_754273]) ).
tff(c_754328,plain,
( ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_754325]) ).
tff(c_754331,plain,
~ ssList(cons('#skF_52',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_754328]) ).
tff(c_754334,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_754331]) ).
tff(c_754338,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_754334]) ).
tff(c_754340,plain,
ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitRight,[status(thm)],[c_754273]) ).
tff(c_755522,plain,
! [V_12867,W_12868] :
( frontsegP(app(V_12867,W_12868),V_12867)
| ~ ssList(W_12868)
| ~ ssList(V_12867)
| ~ ssList(app(V_12867,W_12868)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_755686,plain,
( frontsegP('#skF_50',app('#skF_53',cons('#skF_52',nil)))
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil)))
| ~ ssList(app(app('#skF_53',cons('#skF_52',nil)),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_755522]) ).
tff(c_755816,plain,
frontsegP('#skF_50',app('#skF_53',cons('#skF_52',nil))),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_433,c_754340,c_388,c_755686]) ).
tff(c_323422,plain,
! [U_6358] :
( ( hd(U_6358) = '#skF_46'(U_6358) )
| ( nil = U_6358 )
| ~ ssList(U_6358) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_323537,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_323422]) ).
tff(c_323696,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_323537]) ).
tff(c_323554,plain,
! [U_6359] :
( ( tl(U_6359) = '#skF_47'(U_6359) )
| ( nil = U_6359 )
| ~ ssList(U_6359) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_323666,plain,
( ( tl('#skF_54') = '#skF_47'('#skF_54') )
| ( nil = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_388,c_323554]) ).
tff(c_323787,plain,
( ( tl('#skF_54') = '#skF_47'('#skF_54') )
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_323696,c_323666]) ).
tff(c_323788,plain,
'#skF_54' = '#skF_53',
inference(splitLeft,[status(thm)],[c_323787]) ).
tff(c_184134,plain,
! [V_4250,U_4251] :
( ( app(cons(V_4250,nil),U_4251) = cons(V_4250,U_4251) )
| ~ ssItem(V_4250)
| ~ ssList(U_4251) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_184159,plain,
! [U_4251] :
( ( cons('#skF_56',U_4251) = app('#skF_50',U_4251) )
| ~ ssItem('#skF_56')
| ~ ssList(U_4251) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_184134]) ).
tff(c_184166,plain,
! [U_4252] :
( ( cons('#skF_56',U_4252) = app('#skF_50',U_4252) )
| ~ ssList(U_4252) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_184159]) ).
tff(c_184334,plain,
cons('#skF_56','#skF_54') = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_388,c_184166]) ).
tff(c_184357,plain,
( ( app('#skF_50','#skF_54') != nil )
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_184334,c_182]) ).
tff(c_184374,plain,
app('#skF_50','#skF_54') != nil,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_7738,c_184357]) ).
tff(c_184355,plain,
( ssList(app('#skF_50','#skF_54'))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_184334,c_166]) ).
tff(c_184372,plain,
ssList(app('#skF_50','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_7738,c_184355]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_184425,plain,
app(nil,app('#skF_50','#skF_54')) = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_184372,c_196]) ).
tff(c_94884,plain,
! [U_3147] :
( ( tl(U_3147) = '#skF_47'(U_3147) )
| ( nil = U_3147 )
| ~ ssList(U_3147) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_94968,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_400,c_94884]) ).
tff(c_95006,plain,
tl('#skF_50') = '#skF_47'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_8208,c_94968]) ).
tff(c_95327,plain,
! [V_3162,U_3163] :
( ( tl(cons(V_3162,U_3163)) = U_3163 )
| ~ ssItem(V_3162)
| ~ ssList(U_3163) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_95342,plain,
( ( tl('#skF_50') = nil )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_95327]) ).
tff(c_95348,plain,
'#skF_47'('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_95006,c_95342]) ).
tff(c_95376,plain,
tl('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_95348,c_95006]) ).
tff(c_8231,plain,
memberP('#skF_54','#skF_55'),
inference(splitLeft,[status(thm)],[c_428]) ).
tff(c_8873,plain,
! [U_1918] :
( ( hd(U_1918) = '#skF_46'(U_1918) )
| ( nil = U_1918 )
| ~ ssList(U_1918) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_8954,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_400,c_8873]) ).
tff(c_8987,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_8208,c_8954]) ).
tff(c_95349,plain,
! [V_3164,U_3165] :
( ( hd(cons(V_3164,U_3165)) = V_3164 )
| ~ ssItem(V_3164)
| ~ ssList(U_3165) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_95364,plain,
( ( hd('#skF_50') = '#skF_56' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_95349]) ).
tff(c_95370,plain,
'#skF_46'('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_8987,c_95364]) ).
tff(c_95392,plain,
hd('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_95370,c_8987]) ).
tff(c_202,plain,
! [U_917] :
( leq(U_917,U_917)
| ~ ssItem(U_917) ),
inference(cnfTransformation,[status(thm)],[f_442]) ).
tff(c_156296,plain,
! [V_3938,U_3939] :
( ( app(cons(V_3938,nil),U_3939) = cons(V_3938,U_3939) )
| ~ ssItem(V_3938)
| ~ ssList(U_3939) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_156321,plain,
! [U_3939] :
( ( cons('#skF_56',U_3939) = app('#skF_50',U_3939) )
| ~ ssItem('#skF_56')
| ~ ssList(U_3939) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_156296]) ).
tff(c_156328,plain,
! [U_3940] :
( ( cons('#skF_56',U_3940) = app('#skF_50',U_3940) )
| ~ ssList(U_3940) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_156321]) ).
tff(c_156500,plain,
cons('#skF_56','#skF_50') = app('#skF_50','#skF_50'),
inference(resolution,[status(thm)],[c_400,c_156328]) ).
tff(c_159716,plain,
! [U_3968,V_3969] :
( leq(U_3968,hd(V_3969))
| ( nil = V_3969 )
| ~ totalorderedP(cons(U_3968,V_3969))
| ~ ssList(V_3969)
| ~ ssItem(U_3968) ),
inference(cnfTransformation,[status(thm)],[f_728]) ).
tff(c_159751,plain,
! [U_3968] :
( leq(U_3968,'#skF_56')
| ( nil = '#skF_50' )
| ~ totalorderedP(cons(U_3968,'#skF_50'))
| ~ ssList('#skF_50')
| ~ ssItem(U_3968) ),
inference(superposition,[status(thm),theory(equality)],[c_95392,c_159716]) ).
tff(c_159791,plain,
! [U_3968] :
( leq(U_3968,'#skF_56')
| ( nil = '#skF_50' )
| ~ totalorderedP(cons(U_3968,'#skF_50'))
| ~ ssItem(U_3968) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_159751]) ).
tff(c_159820,plain,
! [U_3970] :
( leq(U_3970,'#skF_56')
| ~ totalorderedP(cons(U_3970,'#skF_50'))
| ~ ssItem(U_3970) ),
inference(negUnitSimplification,[status(thm)],[c_8208,c_159791]) ).
tff(c_159823,plain,
( leq('#skF_56','#skF_56')
| ~ totalorderedP(app('#skF_50','#skF_50'))
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_156500,c_159820]) ).
tff(c_159828,plain,
( leq('#skF_56','#skF_56')
| ~ totalorderedP(app('#skF_50','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_159823]) ).
tff(c_160706,plain,
~ totalorderedP(app('#skF_50','#skF_50')),
inference(splitLeft,[status(thm)],[c_159828]) ).
tff(c_8357,plain,
! [U_1871] :
( totalorderedP(cons(U_1871,nil))
| ~ ssItem(U_1871) ),
inference(cnfTransformation,[status(thm)],[f_711]) ).
tff(c_8360,plain,
( totalorderedP('#skF_50')
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_8357]) ).
tff(c_8362,plain,
totalorderedP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_8360]) ).
tff(c_165798,plain,
! [U_4045,V_4046] :
( ~ leq(U_4045,hd(V_4046))
| ~ totalorderedP(V_4046)
| ( nil = V_4046 )
| totalorderedP(cons(U_4045,V_4046))
| ~ ssList(V_4046)
| ~ ssItem(U_4045) ),
inference(cnfTransformation,[status(thm)],[f_728]) ).
tff(c_165845,plain,
! [U_4045] :
( ~ leq(U_4045,'#skF_56')
| ~ totalorderedP('#skF_50')
| ( nil = '#skF_50' )
| totalorderedP(cons(U_4045,'#skF_50'))
| ~ ssList('#skF_50')
| ~ ssItem(U_4045) ),
inference(superposition,[status(thm),theory(equality)],[c_95392,c_165798]) ).
tff(c_165896,plain,
! [U_4045] :
( ~ leq(U_4045,'#skF_56')
| ( nil = '#skF_50' )
| totalorderedP(cons(U_4045,'#skF_50'))
| ~ ssItem(U_4045) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_8362,c_165845]) ).
tff(c_166153,plain,
! [U_4049] :
( ~ leq(U_4049,'#skF_56')
| totalorderedP(cons(U_4049,'#skF_50'))
| ~ ssItem(U_4049) ),
inference(negUnitSimplification,[status(thm)],[c_8208,c_165896]) ).
tff(c_166162,plain,
( ~ leq('#skF_56','#skF_56')
| totalorderedP(app('#skF_50','#skF_50'))
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_156500,c_166153]) ).
tff(c_166169,plain,
( ~ leq('#skF_56','#skF_56')
| totalorderedP(app('#skF_50','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_166162]) ).
tff(c_166170,plain,
~ leq('#skF_56','#skF_56'),
inference(negUnitSimplification,[status(thm)],[c_160706,c_166169]) ).
tff(c_166179,plain,
~ ssItem('#skF_56'),
inference(resolution,[status(thm)],[c_202,c_166170]) ).
tff(c_166189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_166179]) ).
tff(c_166190,plain,
leq('#skF_56','#skF_56'),
inference(splitRight,[status(thm)],[c_159828]) ).
tff(c_155827,plain,
! [U_3931,V_3932] :
( ( hd(app(U_3931,V_3932)) = hd(U_3931) )
| ( nil = U_3931 )
| ~ ssList(V_3932)
| ~ ssList(U_3931) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_156007,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = hd('#skF_50') )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_155827]) ).
tff(c_156203,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56' )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_95392,c_156007]) ).
tff(c_156234,plain,
~ ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitLeft,[status(thm)],[c_156203]) ).
tff(c_156237,plain,
( ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_156234]) ).
tff(c_156240,plain,
~ ssList(cons('#skF_52',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_156237]) ).
tff(c_156243,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_156240]) ).
tff(c_156247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_156243]) ).
tff(c_156249,plain,
ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitRight,[status(thm)],[c_156203]) ).
tff(c_12,plain,
! [W_27,V_19,X_29] :
( memberP(app(W_27,cons(V_19,X_29)),V_19)
| ~ ssList(X_29)
| ~ ssList(W_27)
| ~ ssItem(V_19)
| ~ ssList(app(W_27,cons(V_19,X_29))) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_158265,plain,
! [V_3955,U_3956,W_3957] :
( ~ memberP(V_3955,U_3956)
| memberP(app(V_3955,W_3957),U_3956)
| ~ ssList(W_3957)
| ~ ssList(V_3955)
| ~ ssItem(U_3956) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_158442,plain,
! [U_3956] :
( ~ memberP(app('#skF_53',cons('#skF_52',nil)),U_3956)
| memberP('#skF_50',U_3956)
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil)))
| ~ ssItem(U_3956) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_158265]) ).
tff(c_183533,plain,
! [U_4245] :
( ~ memberP(app('#skF_53',cons('#skF_52',nil)),U_4245)
| memberP('#skF_50',U_4245)
| ~ ssItem(U_4245) ),
inference(demodulation,[status(thm),theory(equality)],[c_156249,c_388,c_158442]) ).
tff(c_183541,plain,
( memberP('#skF_50','#skF_52')
| ~ ssList(nil)
| ~ ssList('#skF_53')
| ~ ssItem('#skF_52')
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(resolution,[status(thm)],[c_12,c_183533]) ).
tff(c_183555,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_156249,c_392,c_390,c_168,c_183541]) ).
tff(c_170077,plain,
! [W_4104,U_4105,V_4106] :
( memberP(W_4104,U_4105)
| ( V_4106 = U_4105 )
| ~ memberP(cons(V_4106,W_4104),U_4105)
| ~ ssList(W_4104)
| ~ ssItem(V_4106)
| ~ ssItem(U_4105) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_170128,plain,
! [U_4105] :
( memberP(nil,U_4105)
| ( U_4105 = '#skF_56' )
| ~ memberP('#skF_50',U_4105)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_4105) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_170077]) ).
tff(c_178912,plain,
! [U_4197] :
( memberP(nil,U_4197)
| ( U_4197 = '#skF_56' )
| ~ memberP('#skF_50',U_4197)
| ~ ssItem(U_4197) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_170128]) ).
tff(c_178916,plain,
! [U_4197] :
( ( U_4197 = '#skF_56' )
| ~ memberP('#skF_50',U_4197)
| ~ ssItem(U_4197) ),
inference(resolution,[status(thm)],[c_178912,c_228]) ).
tff(c_183564,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_183555,c_178916]) ).
tff(c_183567,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_183564]) ).
tff(c_166502,plain,
! [W_4055,U_4056,V_4057] :
( ~ memberP(W_4055,U_4056)
| memberP(app(V_4057,W_4055),U_4056)
| ~ ssList(W_4055)
| ~ ssList(V_4057)
| ~ ssItem(U_4056) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_166685,plain,
! [U_4056] :
( ~ memberP('#skF_54',U_4056)
| memberP('#skF_50',U_4056)
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil)))
| ~ ssItem(U_4056) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_166502]) ).
tff(c_166904,plain,
! [U_4059] :
( ~ memberP('#skF_54',U_4059)
| memberP('#skF_50',U_4059)
| ~ ssItem(U_4059) ),
inference(demodulation,[status(thm),theory(equality)],[c_156249,c_388,c_166685]) ).
tff(c_166910,plain,
( memberP('#skF_50','#skF_55')
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_8231,c_166904]) ).
tff(c_166916,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_166910]) ).
tff(c_178917,plain,
! [U_4198] :
( ( U_4198 = '#skF_56' )
| ~ memberP('#skF_50',U_4198)
| ~ ssItem(U_4198) ),
inference(resolution,[status(thm)],[c_178912,c_228]) ).
tff(c_178923,plain,
( ( '#skF_55' = '#skF_56' )
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_166916,c_178917]) ).
tff(c_178932,plain,
'#skF_55' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_384,c_178923]) ).
tff(c_155752,plain,
! [U_3926,V_3927] :
( lt(U_3926,V_3927)
| ~ leq(U_3926,V_3927)
| ( V_3927 = U_3926 )
| ~ ssItem(V_3927)
| ~ ssItem(U_3926) ),
inference(cnfTransformation,[status(thm)],[f_950]) ).
tff(c_426,plain,
( ~ lt('#skF_55','#skF_52')
| memberP('#skF_54','#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_8230,plain,
~ lt('#skF_55','#skF_52'),
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_155775,plain,
( ~ leq('#skF_55','#skF_52')
| ( '#skF_52' = '#skF_55' )
| ~ ssItem('#skF_52')
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_155752,c_8230]) ).
tff(c_155792,plain,
( ~ leq('#skF_55','#skF_52')
| ( '#skF_52' = '#skF_55' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_392,c_155775]) ).
tff(c_155798,plain,
~ leq('#skF_55','#skF_52'),
inference(splitLeft,[status(thm)],[c_155792]) ).
tff(c_178941,plain,
~ leq('#skF_56','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_178932,c_155798]) ).
tff(c_183574,plain,
~ leq('#skF_56','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_183567,c_178941]) ).
tff(c_183608,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166190,c_183574]) ).
tff(c_183609,plain,
'#skF_52' = '#skF_55',
inference(splitRight,[status(thm)],[c_155792]) ).
tff(c_183613,plain,
app(app('#skF_53',cons('#skF_55',nil)),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_183609,c_433]) ).
tff(c_358,plain,
! [U_1081,V_1083] :
( ( hd(app(U_1081,V_1083)) = hd(U_1081) )
| ( nil = U_1081 )
| ~ ssList(V_1083)
| ~ ssList(U_1081) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_184052,plain,
( ( hd(app('#skF_53',cons('#skF_55',nil))) = hd('#skF_50') )
| ( app('#skF_53',cons('#skF_55',nil)) = nil )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_55',nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_183613,c_358]) ).
tff(c_184063,plain,
( ( hd(app('#skF_53',cons('#skF_55',nil))) = '#skF_56' )
| ( app('#skF_53',cons('#skF_55',nil)) = nil )
| ~ ssList(app('#skF_53',cons('#skF_55',nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_95392,c_184052]) ).
tff(c_184072,plain,
~ ssList(app('#skF_53',cons('#skF_55',nil))),
inference(splitLeft,[status(thm)],[c_184063]) ).
tff(c_184075,plain,
( ~ ssList(cons('#skF_55',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_184072]) ).
tff(c_184078,plain,
~ ssList(cons('#skF_55',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_184075]) ).
tff(c_184081,plain,
( ~ ssItem('#skF_55')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_184078]) ).
tff(c_184085,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_384,c_184081]) ).
tff(c_184087,plain,
ssList(app('#skF_53',cons('#skF_55',nil))),
inference(splitRight,[status(thm)],[c_184063]) ).
tff(c_186113,plain,
! [W_4267,U_4268,V_4269] :
( ~ memberP(W_4267,U_4268)
| memberP(app(V_4269,W_4267),U_4268)
| ~ ssList(W_4267)
| ~ ssList(V_4269)
| ~ ssItem(U_4268) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_186125,plain,
! [U_4268] :
( ~ memberP('#skF_54',U_4268)
| memberP('#skF_50',U_4268)
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_55',nil)))
| ~ ssItem(U_4268) ),
inference(superposition,[status(thm),theory(equality)],[c_183613,c_186113]) ).
tff(c_202790,plain,
! [U_4469] :
( ~ memberP('#skF_54',U_4469)
| memberP('#skF_50',U_4469)
| ~ ssItem(U_4469) ),
inference(demodulation,[status(thm),theory(equality)],[c_184087,c_388,c_186125]) ).
tff(c_202796,plain,
( memberP('#skF_50','#skF_55')
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_8231,c_202790]) ).
tff(c_202802,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_202796]) ).
tff(c_200899,plain,
! [W_4446,U_4447,V_4448] :
( memberP(W_4446,U_4447)
| ( V_4448 = U_4447 )
| ~ memberP(cons(V_4448,W_4446),U_4447)
| ~ ssList(W_4446)
| ~ ssItem(V_4448)
| ~ ssItem(U_4447) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_200953,plain,
! [U_4447] :
( memberP(nil,U_4447)
| ( U_4447 = '#skF_56' )
| ~ memberP('#skF_50',U_4447)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_4447) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_200899]) ).
tff(c_205882,plain,
! [U_4494] :
( memberP(nil,U_4494)
| ( U_4494 = '#skF_56' )
| ~ memberP('#skF_50',U_4494)
| ~ ssItem(U_4494) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_200953]) ).
tff(c_205898,plain,
! [U_4495] :
( ( U_4495 = '#skF_56' )
| ~ memberP('#skF_50',U_4495)
| ~ ssItem(U_4495) ),
inference(resolution,[status(thm)],[c_205882,c_228]) ).
tff(c_205904,plain,
( ( '#skF_55' = '#skF_56' )
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_202802,c_205898]) ).
tff(c_205913,plain,
'#skF_55' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_384,c_205904]) ).
tff(c_205921,plain,
app(app('#skF_53',cons('#skF_56',nil)),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_205913,c_183613]) ).
tff(c_205932,plain,
app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_8207,c_205921]) ).
tff(c_348,plain,
! [U_1070,V_1074,W_1076] :
( ( app(app(U_1070,V_1074),W_1076) = app(U_1070,app(V_1074,W_1076)) )
| ~ ssList(W_1076)
| ~ ssList(V_1074)
| ~ ssList(U_1070) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_206731,plain,
( ( app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList('#skF_50')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_205932,c_348]) ).
tff(c_206788,plain,
app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_400,c_388,c_206731]) ).
tff(c_8984,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_8873]) ).
tff(c_9012,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_8984]) ).
tff(c_8981,plain,
( ( hd('#skF_54') = '#skF_46'('#skF_54') )
| ( nil = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_388,c_8873]) ).
tff(c_9165,plain,
( ( hd('#skF_54') = '#skF_46'('#skF_54') )
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_8981]) ).
tff(c_9166,plain,
'#skF_54' = '#skF_53',
inference(splitLeft,[status(thm)],[c_9165]) ).
tff(c_9169,plain,
memberP('#skF_53','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_9166,c_8231]) ).
tff(c_9256,plain,
! [U_1928] :
( ~ memberP('#skF_53',U_1928)
| ~ ssItem(U_1928) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_228]) ).
tff(c_9259,plain,
~ ssItem('#skF_55'),
inference(resolution,[status(thm)],[c_9169,c_9256]) ).
tff(c_9263,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_9259]) ).
tff(c_9265,plain,
'#skF_54' != '#skF_53',
inference(splitRight,[status(thm)],[c_9165]) ).
tff(c_9024,plain,
app(app('#skF_53',cons('#skF_52','#skF_53')),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_433]) ).
tff(c_16404,plain,
! [W_2154,V_2155] :
( rearsegP(app(W_2154,V_2155),V_2155)
| ~ ssList(W_2154)
| ~ ssList(V_2155)
| ~ ssList(app(W_2154,V_2155)) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_16589,plain,
( rearsegP('#skF_50','#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_53')))
| ~ ssList('#skF_54')
| ~ ssList(app(app('#skF_53',cons('#skF_52','#skF_53')),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_9024,c_16404]) ).
tff(c_16729,plain,
( rearsegP('#skF_50','#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_53'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_9024,c_388,c_16589]) ).
tff(c_16829,plain,
~ ssList(app('#skF_53',cons('#skF_52','#skF_53'))),
inference(splitLeft,[status(thm)],[c_16729]) ).
tff(c_17837,plain,
( ~ ssList(cons('#skF_52','#skF_53'))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_16829]) ).
tff(c_17840,plain,
~ ssList(cons('#skF_52','#skF_53')),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_17837]) ).
tff(c_17843,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_166,c_17840]) ).
tff(c_17847,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_392,c_17843]) ).
tff(c_17849,plain,
ssList(app('#skF_53',cons('#skF_52','#skF_53'))),
inference(splitRight,[status(thm)],[c_16729]) ).
tff(c_29417,plain,
! [W_2305,U_2306,V_2307] :
( ~ memberP(W_2305,U_2306)
| memberP(app(V_2307,W_2305),U_2306)
| ~ ssList(W_2305)
| ~ ssList(V_2307)
| ~ ssItem(U_2306) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_29606,plain,
! [U_2306] :
( ~ memberP('#skF_54',U_2306)
| memberP('#skF_50',U_2306)
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_53')))
| ~ ssItem(U_2306) ),
inference(superposition,[status(thm),theory(equality)],[c_9024,c_29417]) ).
tff(c_29835,plain,
! [U_2311] :
( ~ memberP('#skF_54',U_2311)
| memberP('#skF_50',U_2311)
| ~ ssItem(U_2311) ),
inference(demodulation,[status(thm),theory(equality)],[c_17849,c_388,c_29606]) ).
tff(c_29841,plain,
( memberP('#skF_50','#skF_55')
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_8231,c_29835]) ).
tff(c_29847,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_29841]) ).
tff(c_9045,plain,
cons('#skF_56','#skF_53') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_8207]) ).
tff(c_36482,plain,
! [W_2391,U_2392,V_2393] :
( memberP(W_2391,U_2392)
| ( V_2393 = U_2392 )
| ~ memberP(cons(V_2393,W_2391),U_2392)
| ~ ssList(W_2391)
| ~ ssItem(V_2393)
| ~ ssItem(U_2392) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_36530,plain,
! [U_2392] :
( memberP('#skF_53',U_2392)
| ( U_2392 = '#skF_56' )
| ~ memberP('#skF_50',U_2392)
| ~ ssList('#skF_53')
| ~ ssItem('#skF_56')
| ~ ssItem(U_2392) ),
inference(superposition,[status(thm),theory(equality)],[c_9045,c_36482]) ).
tff(c_40580,plain,
! [U_2460] :
( memberP('#skF_53',U_2460)
| ( U_2460 = '#skF_56' )
| ~ memberP('#skF_50',U_2460)
| ~ ssItem(U_2460) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_390,c_36530]) ).
tff(c_9042,plain,
! [U_948] :
( ~ memberP('#skF_53',U_948)
| ~ ssItem(U_948) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_228]) ).
tff(c_40585,plain,
! [U_2461] :
( ( U_2461 = '#skF_56' )
| ~ memberP('#skF_50',U_2461)
| ~ ssItem(U_2461) ),
inference(resolution,[status(thm)],[c_40580,c_9042]) ).
tff(c_40594,plain,
( ( '#skF_55' = '#skF_56' )
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_29847,c_40585]) ).
tff(c_40606,plain,
'#skF_55' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_384,c_40594]) ).
tff(c_16060,plain,
! [U_2148,V_2149] :
( lt(U_2148,V_2149)
| ~ leq(U_2148,V_2149)
| ( V_2149 = U_2148 )
| ~ ssItem(V_2149)
| ~ ssItem(U_2148) ),
inference(cnfTransformation,[status(thm)],[f_950]) ).
tff(c_422,plain,
( ~ lt('#skF_55','#skF_52')
| ~ lt('#skF_52','#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_8217,plain,
~ lt('#skF_52','#skF_55'),
inference(splitLeft,[status(thm)],[c_422]) ).
tff(c_16090,plain,
( ~ leq('#skF_52','#skF_55')
| ( '#skF_52' = '#skF_55' )
| ~ ssItem('#skF_55')
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_16060,c_8217]) ).
tff(c_16105,plain,
( ~ leq('#skF_52','#skF_55')
| ( '#skF_52' = '#skF_55' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_384,c_16090]) ).
tff(c_16119,plain,
~ leq('#skF_52','#skF_55'),
inference(splitLeft,[status(thm)],[c_16105]) ).
tff(c_40615,plain,
~ leq('#skF_52','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_40606,c_16119]) ).
tff(c_42091,plain,
! [W_2476,V_2477,X_2478] :
( segmentP(app(app(W_2476,V_2477),X_2478),V_2477)
| ~ ssList(X_2478)
| ~ ssList(W_2476)
| ~ ssList(V_2477)
| ~ ssList(app(app(W_2476,V_2477),X_2478)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_42375,plain,
( segmentP('#skF_50',cons('#skF_52','#skF_53'))
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52','#skF_53'))
| ~ ssList(app(app('#skF_53',cons('#skF_52','#skF_53')),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_9024,c_42091]) ).
tff(c_42538,plain,
( segmentP('#skF_50',cons('#skF_52','#skF_53'))
| ~ ssList(cons('#skF_52','#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_9024,c_390,c_388,c_42375]) ).
tff(c_43977,plain,
~ ssList(cons('#skF_52','#skF_53')),
inference(splitLeft,[status(thm)],[c_42538]) ).
tff(c_44195,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_166,c_43977]) ).
tff(c_44199,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_392,c_44195]) ).
tff(c_44201,plain,
ssList(cons('#skF_52','#skF_53')),
inference(splitRight,[status(thm)],[c_42538]) ).
tff(c_9036,plain,
! [U_906] :
( ( app('#skF_53',U_906) = U_906 )
| ~ ssList(U_906) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_196]) ).
tff(c_44309,plain,
app('#skF_53',cons('#skF_52','#skF_53')) = cons('#skF_52','#skF_53'),
inference(resolution,[status(thm)],[c_44201,c_9036]) ).
tff(c_44468,plain,
app(cons('#skF_52','#skF_53'),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_44309,c_9024]) ).
tff(c_14763,plain,
! [V_1069,U_1067] :
( ( app(cons(V_1069,'#skF_53'),U_1067) = cons(V_1069,U_1067) )
| ~ ssItem(V_1069)
| ~ ssList(U_1067) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_346]) ).
tff(c_44869,plain,
( ( cons('#skF_52','#skF_54') = '#skF_50' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_44468,c_14763]) ).
tff(c_44915,plain,
cons('#skF_52','#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_44869]) ).
tff(c_9264,plain,
hd('#skF_54') = '#skF_46'('#skF_54'),
inference(splitRight,[status(thm)],[c_9165]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_9726,plain,
! [U_1954] :
( ssItem(hd(U_1954))
| ( U_1954 = '#skF_53' )
| ~ ssList(U_1954) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_184]) ).
tff(c_9729,plain,
( ssItem('#skF_46'('#skF_54'))
| ( '#skF_54' = '#skF_53' )
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_9264,c_9726]) ).
tff(c_9737,plain,
( ssItem('#skF_46'('#skF_54'))
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_9729]) ).
tff(c_9738,plain,
ssItem('#skF_46'('#skF_54')),
inference(negUnitSimplification,[status(thm)],[c_9265,c_9737]) ).
tff(c_9064,plain,
! [U_1919] :
( ( tl(U_1919) = '#skF_47'(U_1919) )
| ( U_1919 = '#skF_53' )
| ~ ssList(U_1919) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_334]) ).
tff(c_9157,plain,
( ( tl('#skF_54') = '#skF_47'('#skF_54') )
| ( '#skF_54' = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_388,c_9064]) ).
tff(c_9497,plain,
tl('#skF_54') = '#skF_47'('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_9265,c_9157]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_9827,plain,
! [U_1958] :
( ssList(tl(U_1958))
| ( U_1958 = '#skF_53' )
| ~ ssList(U_1958) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_188]) ).
tff(c_9845,plain,
( ssList('#skF_47'('#skF_54'))
| ( '#skF_54' = '#skF_53' )
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_9497,c_9827]) ).
tff(c_9858,plain,
( ssList('#skF_47'('#skF_54'))
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_9845]) ).
tff(c_9859,plain,
ssList('#skF_47'('#skF_54')),
inference(negUnitSimplification,[status(thm)],[c_9265,c_9858]) ).
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_12285,plain,
! [U_2047] :
( ( cons(hd(U_2047),tl(U_2047)) = U_2047 )
| ( U_2047 = '#skF_53' )
| ~ ssList(U_2047) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_340]) ).
tff(c_12331,plain,
( ( cons('#skF_46'('#skF_54'),tl('#skF_54')) = '#skF_54' )
| ( '#skF_54' = '#skF_53' )
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_9264,c_12285]) ).
tff(c_12355,plain,
( ( cons('#skF_46'('#skF_54'),'#skF_47'('#skF_54')) = '#skF_54' )
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_9497,c_12331]) ).
tff(c_12356,plain,
cons('#skF_46'('#skF_54'),'#skF_47'('#skF_54')) = '#skF_54',
inference(negUnitSimplification,[status(thm)],[c_9265,c_12355]) ).
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_12437,plain,
( memberP('#skF_54','#skF_46'('#skF_54'))
| ~ ssList('#skF_47'('#skF_54'))
| ~ ssItem('#skF_46'('#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_12356,c_226]) ).
tff(c_12454,plain,
memberP('#skF_54','#skF_46'('#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_9738,c_9859,c_12437]) ).
tff(c_29838,plain,
( memberP('#skF_50','#skF_46'('#skF_54'))
| ~ ssItem('#skF_46'('#skF_54')) ),
inference(resolution,[status(thm)],[c_12454,c_29835]) ).
tff(c_29844,plain,
memberP('#skF_50','#skF_46'('#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_9738,c_29838]) ).
tff(c_40591,plain,
( ( '#skF_46'('#skF_54') = '#skF_56' )
| ~ ssItem('#skF_46'('#skF_54')) ),
inference(resolution,[status(thm)],[c_29844,c_40585]) ).
tff(c_40603,plain,
'#skF_46'('#skF_54') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_9738,c_40591]) ).
tff(c_40801,plain,
hd('#skF_54') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_40603,c_9264]) ).
tff(c_300,plain,
! [U_1036,V_1038] :
( leq(U_1036,hd(V_1038))
| ( nil = V_1038 )
| ~ totalorderedP(cons(U_1036,V_1038))
| ~ ssList(V_1038)
| ~ ssItem(U_1036) ),
inference(cnfTransformation,[status(thm)],[f_728]) ).
tff(c_19002,plain,
! [U_1036,V_1038] :
( leq(U_1036,hd(V_1038))
| ( V_1038 = '#skF_53' )
| ~ totalorderedP(cons(U_1036,V_1038))
| ~ ssList(V_1038)
| ~ ssItem(U_1036) ),
inference(demodulation,[status(thm),theory(equality)],[c_9012,c_300]) ).
tff(c_40827,plain,
! [U_1036] :
( leq(U_1036,'#skF_56')
| ( '#skF_54' = '#skF_53' )
| ~ totalorderedP(cons(U_1036,'#skF_54'))
| ~ ssList('#skF_54')
| ~ ssItem(U_1036) ),
inference(superposition,[status(thm),theory(equality)],[c_40801,c_19002]) ).
tff(c_40846,plain,
! [U_1036] :
( leq(U_1036,'#skF_56')
| ( '#skF_54' = '#skF_53' )
| ~ totalorderedP(cons(U_1036,'#skF_54'))
| ~ ssItem(U_1036) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_40827]) ).
tff(c_40847,plain,
! [U_1036] :
( leq(U_1036,'#skF_56')
| ~ totalorderedP(cons(U_1036,'#skF_54'))
| ~ ssItem(U_1036) ),
inference(negUnitSimplification,[status(thm)],[c_9265,c_40846]) ).
tff(c_45004,plain,
( leq('#skF_52','#skF_56')
| ~ totalorderedP('#skF_50')
| ~ ssItem('#skF_52') ),
inference(superposition,[status(thm),theory(equality)],[c_44915,c_40847]) ).
tff(c_45083,plain,
leq('#skF_52','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_8362,c_45004]) ).
tff(c_45085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40615,c_45083]) ).
tff(c_45086,plain,
'#skF_52' = '#skF_55',
inference(splitRight,[status(thm)],[c_16105]) ).
tff(c_45087,plain,
leq('#skF_52','#skF_55'),
inference(splitRight,[status(thm)],[c_16105]) ).
tff(c_45100,plain,
leq('#skF_55','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_45086,c_45087]) ).
tff(c_16083,plain,
( ~ leq('#skF_55','#skF_52')
| ( '#skF_52' = '#skF_55' )
| ~ ssItem('#skF_52')
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_16060,c_8230]) ).
tff(c_16100,plain,
( ~ leq('#skF_55','#skF_52')
| ( '#skF_52' = '#skF_55' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_392,c_16083]) ).
tff(c_16106,plain,
~ leq('#skF_55','#skF_52'),
inference(splitLeft,[status(thm)],[c_16100]) ).
tff(c_45088,plain,
~ leq('#skF_55','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_45086,c_16106]) ).
tff(c_45205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45100,c_45088]) ).
tff(c_45206,plain,
'#skF_52' = '#skF_55',
inference(splitRight,[status(thm)],[c_16100]) ).
tff(c_45244,plain,
app(app('#skF_53',cons('#skF_55','#skF_53')),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_45206,c_9024]) ).
tff(c_93047,plain,
! [W_3126,V_3127,X_3128] :
( segmentP(app(app(W_3126,V_3127),X_3128),V_3127)
| ~ ssList(X_3128)
| ~ ssList(W_3126)
| ~ ssList(V_3127)
| ~ ssList(app(app(W_3126,V_3127),X_3128)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_93151,plain,
( segmentP('#skF_50',cons('#skF_55','#skF_53'))
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_55','#skF_53'))
| ~ ssList(app(app('#skF_53',cons('#skF_55','#skF_53')),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_45244,c_93047]) ).
tff(c_93377,plain,
( segmentP('#skF_50',cons('#skF_55','#skF_53'))
| ~ ssList(cons('#skF_55','#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_45244,c_390,c_388,c_93151]) ).
tff(c_93689,plain,
~ ssList(cons('#skF_55','#skF_53')),
inference(splitLeft,[status(thm)],[c_93377]) ).
tff(c_93802,plain,
( ~ ssItem('#skF_55')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_166,c_93689]) ).
tff(c_93806,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_384,c_93802]) ).
tff(c_93808,plain,
ssList(cons('#skF_55','#skF_53')),
inference(splitRight,[status(thm)],[c_93377]) ).
tff(c_93920,plain,
app('#skF_53',cons('#skF_55','#skF_53')) = cons('#skF_55','#skF_53'),
inference(resolution,[status(thm)],[c_93808,c_9036]) ).
tff(c_94146,plain,
app(cons('#skF_55','#skF_53'),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_93920,c_45244]) ).
tff(c_94378,plain,
( ( cons('#skF_55','#skF_54') = '#skF_50' )
| ~ ssItem('#skF_55')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_94146,c_14763]) ).
tff(c_94424,plain,
cons('#skF_55','#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_384,c_94378]) ).
tff(c_88149,plain,
! [V_3053,U_3054,X_3055,W_3056] :
( ( V_3053 = U_3054 )
| ( cons(X_3055,V_3053) != cons(W_3056,U_3054) )
| ~ ssItem(X_3055)
| ~ ssItem(W_3056)
| ~ ssList(V_3053)
| ~ ssList(U_3054) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_88205,plain,
! [V_3053,X_3055] :
( ( V_3053 = '#skF_53' )
| ( cons(X_3055,V_3053) != '#skF_50' )
| ~ ssItem(X_3055)
| ~ ssItem('#skF_56')
| ~ ssList(V_3053)
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_9045,c_88149]) ).
tff(c_88249,plain,
! [V_3053,X_3055] :
( ( V_3053 = '#skF_53' )
| ( cons(X_3055,V_3053) != '#skF_50' )
| ~ ssItem(X_3055)
| ~ ssList(V_3053) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_7738,c_88205]) ).
tff(c_94437,plain,
( ( '#skF_54' = '#skF_53' )
| ~ ssItem('#skF_55')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_94424,c_88249]) ).
tff(c_94496,plain,
'#skF_54' = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_384,c_94437]) ).
tff(c_94498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9265,c_94496]) ).
tff(c_94500,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_8984]) ).
tff(c_94965,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_94884]) ).
tff(c_95003,plain,
tl('#skF_53') = '#skF_47'('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_94500,c_94965]) ).
tff(c_95096,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_95003,c_188]) ).
tff(c_95100,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_95096]) ).
tff(c_95101,plain,
ssList('#skF_47'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_94500,c_95100]) ).
tff(c_95145,plain,
( ( tl('#skF_47'('#skF_53')) = '#skF_47'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = nil ) ),
inference(resolution,[status(thm)],[c_95101,c_334]) ).
tff(c_152995,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_95145]) ).
tff(c_153107,plain,
tl('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_152995,c_95003]) ).
tff(c_187809,plain,
! [U_4278,V_4279] :
( ( app(tl(U_4278),V_4279) = tl(app(U_4278,V_4279)) )
| ( nil = U_4278 )
| ~ ssList(V_4279)
| ~ ssList(U_4278) ),
inference(cnfTransformation,[status(thm)],[f_879]) ).
tff(c_187877,plain,
! [V_4279] :
( ( tl(app('#skF_53',V_4279)) = app(nil,V_4279) )
| ( nil = '#skF_53' )
| ~ ssList(V_4279)
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_153107,c_187809]) ).
tff(c_187921,plain,
! [V_4279] :
( ( tl(app('#skF_53',V_4279)) = app(nil,V_4279) )
| ( nil = '#skF_53' )
| ~ ssList(V_4279) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_187877]) ).
tff(c_187922,plain,
! [V_4279] :
( ( tl(app('#skF_53',V_4279)) = app(nil,V_4279) )
| ~ ssList(V_4279) ),
inference(negUnitSimplification,[status(thm)],[c_94500,c_187921]) ).
tff(c_206849,plain,
( ( app(nil,app('#skF_50','#skF_54')) = tl('#skF_50') )
| ~ ssList(app('#skF_50','#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_206788,c_187922]) ).
tff(c_206903,plain,
app('#skF_50','#skF_54') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_184372,c_184425,c_95376,c_206849]) ).
tff(c_206905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184374,c_206903]) ).
tff(c_206907,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_95145]) ).
tff(c_24,plain,
! [U_30] :
( ssItem('#skF_5'(U_30))
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_95262,plain,
! [U_3156] :
( ( cons('#skF_5'(U_3156),nil) = U_3156 )
| ~ singletonP(U_3156)
| ~ ssList(U_3156) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_280,plain,
! [U_1032] :
( cyclefreeP(cons(U_1032,nil))
| ~ ssItem(U_1032) ),
inference(cnfTransformation,[status(thm)],[f_696]) ).
tff(c_95598,plain,
! [U_3177] :
( cyclefreeP(U_3177)
| ~ ssItem('#skF_5'(U_3177))
| ~ singletonP(U_3177)
| ~ ssList(U_3177) ),
inference(superposition,[status(thm),theory(equality)],[c_95262,c_280]) ).
tff(c_95603,plain,
! [U_3178] :
( cyclefreeP(U_3178)
| ~ singletonP(U_3178)
| ~ ssList(U_3178) ),
inference(resolution,[status(thm)],[c_24,c_95598]) ).
tff(c_95734,plain,
( cyclefreeP('#skF_53')
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_390,c_95603]) ).
tff(c_95739,plain,
~ singletonP('#skF_53'),
inference(splitLeft,[status(thm)],[c_95734]) ).
tff(c_94499,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(splitRight,[status(thm)],[c_8984]) ).
tff(c_94805,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_94499,c_184]) ).
tff(c_94809,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_94805]) ).
tff(c_94810,plain,
ssItem('#skF_46'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_94500,c_94809]) ).
tff(c_96959,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_95145]) ).
tff(c_96964,plain,
tl('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_96959,c_95003]) ).
tff(c_97017,plain,
! [U_3213] :
( ( cons(hd(U_3213),tl(U_3213)) = U_3213 )
| ( nil = U_3213 )
| ~ ssList(U_3213) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_97075,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_94499,c_97017]) ).
tff(c_97114,plain,
( ( cons('#skF_46'('#skF_53'),nil) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_96964,c_97075]) ).
tff(c_97115,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_94500,c_97114]) ).
tff(c_96978,plain,
! [V_3211] :
( singletonP(cons(V_3211,nil))
| ~ ssItem(V_3211)
| ~ ssList(cons(V_3211,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_96985,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_96978]) ).
tff(c_96991,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_96985]) ).
tff(c_97125,plain,
( singletonP('#skF_53')
| ~ ssItem('#skF_46'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_97115,c_96991]) ).
tff(c_97166,plain,
singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_94810,c_97125]) ).
tff(c_97168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95739,c_97166]) ).
tff(c_97170,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_95145]) ).
tff(c_97315,plain,
! [U_3220] :
( ( cons(hd(U_3220),tl(U_3220)) = U_3220 )
| ( nil = U_3220 )
| ~ ssList(U_3220) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_97379,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_94499,c_97315]) ).
tff(c_97424,plain,
( ( cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_95003,c_97379]) ).
tff(c_97425,plain,
cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_94500,c_97424]) ).
tff(c_127189,plain,
! [V_3605,U_3606,X_3607,W_3608] :
( ( V_3605 = U_3606 )
| ( cons(X_3607,V_3605) != cons(W_3608,U_3606) )
| ~ ssItem(X_3607)
| ~ ssItem(W_3608)
| ~ ssList(V_3605)
| ~ ssList(U_3606) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_127251,plain,
! [U_3606,W_3608] :
( ( nil = U_3606 )
| ( cons(W_3608,U_3606) != '#skF_50' )
| ~ ssItem('#skF_56')
| ~ ssItem(W_3608)
| ~ ssList(nil)
| ~ ssList(U_3606) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_127189]) ).
tff(c_128626,plain,
! [U_3619,W_3620] :
( ( nil = U_3619 )
| ( cons(W_3620,U_3619) != '#skF_50' )
| ~ ssItem(W_3620)
| ~ ssList(U_3619) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_127251]) ).
tff(c_128646,plain,
( ( '#skF_47'('#skF_53') = nil )
| ( '#skF_53' != '#skF_50' )
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList('#skF_47'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_97425,c_128626]) ).
tff(c_128684,plain,
( ( '#skF_47'('#skF_53') = nil )
| ( '#skF_53' != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95101,c_94810,c_128646]) ).
tff(c_128685,plain,
'#skF_53' != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_97170,c_128684]) ).
tff(c_128699,plain,
! [V_3621,U_3622,W_3623,X_3624] :
( ( V_3621 = U_3622 )
| ~ frontsegP(cons(U_3622,W_3623),cons(V_3621,X_3624))
| ~ ssList(X_3624)
| ~ ssList(W_3623)
| ~ ssItem(V_3621)
| ~ ssItem(U_3622) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_128802,plain,
! [U_3622,W_3623] :
( ( U_3622 = '#skF_56' )
| ~ frontsegP(cons(U_3622,W_3623),'#skF_50')
| ~ ssList(nil)
| ~ ssList(W_3623)
| ~ ssItem('#skF_56')
| ~ ssItem(U_3622) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_128699]) ).
tff(c_139144,plain,
! [U_3720,W_3721] :
( ( U_3720 = '#skF_56' )
| ~ frontsegP(cons(U_3720,W_3721),'#skF_50')
| ~ ssList(W_3721)
| ~ ssItem(U_3720) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_128802]) ).
tff(c_139186,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_53','#skF_50')
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssItem('#skF_46'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_97425,c_139144]) ).
tff(c_139240,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_53','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_94810,c_95101,c_139186]) ).
tff(c_139427,plain,
~ frontsegP('#skF_53','#skF_50'),
inference(splitLeft,[status(thm)],[c_139240]) ).
tff(c_95150,plain,
app(nil,'#skF_47'('#skF_53')) = '#skF_47'('#skF_53'),
inference(resolution,[status(thm)],[c_95101,c_196]) ).
tff(c_110725,plain,
! [V_3410,W_3411] :
( frontsegP(app(V_3410,W_3411),V_3410)
| ~ ssList(W_3411)
| ~ ssList(V_3410)
| ~ ssList(app(V_3410,W_3411)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_110883,plain,
( frontsegP('#skF_47'('#skF_53'),nil)
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssList(nil)
| ~ ssList(app(nil,'#skF_47'('#skF_53'))) ),
inference(superposition,[status(thm),theory(equality)],[c_95150,c_110725]) ).
tff(c_111031,plain,
frontsegP('#skF_47'('#skF_53'),nil),
inference(demodulation,[status(thm),theory(equality)],[c_95101,c_95150,c_168,c_95101,c_110883]) ).
tff(c_128799,plain,
! [V_3621,X_3624] :
( ( V_3621 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_3621,X_3624))
| ~ ssList(X_3624)
| ~ ssList(nil)
| ~ ssItem(V_3621)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_128699]) ).
tff(c_138869,plain,
! [V_3717,X_3718] :
( ( V_3717 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_3717,X_3718))
| ~ ssList(X_3718)
| ~ ssItem(V_3717) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_128799]) ).
tff(c_138911,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50','#skF_53')
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssItem('#skF_46'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_97425,c_138869]) ).
tff(c_138957,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50','#skF_53') ),
inference(demodulation,[status(thm),theory(equality)],[c_94810,c_95101,c_138911]) ).
tff(c_139428,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(splitLeft,[status(thm)],[c_138957]) ).
tff(c_131632,plain,
! [W_3647,V_3648,X_3649] :
( segmentP(app(app(W_3647,V_3648),X_3649),V_3648)
| ~ ssList(X_3649)
| ~ ssList(W_3647)
| ~ ssList(V_3648)
| ~ ssList(app(app(W_3647,V_3648),X_3649)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_131868,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList(app(app('#skF_53',cons('#skF_52',nil)),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_131632]) ).
tff(c_132025,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_433,c_390,c_388,c_131868]) ).
tff(c_132394,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_132025]) ).
tff(c_132397,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_132394]) ).
tff(c_132401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_132397]) ).
tff(c_132403,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_132025]) ).
tff(c_127344,plain,
! [U_3609,V_3610,W_3611] :
( ( app(app(U_3609,V_3610),W_3611) = app(U_3609,app(V_3610,W_3611)) )
| ~ ssList(W_3611)
| ~ ssList(V_3610)
| ~ ssList(U_3609) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_127468,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_127344,c_433]) ).
tff(c_127748,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_127468]) ).
tff(c_144776,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_132403,c_127748]) ).
tff(c_144844,plain,
( ( app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_346,c_144776]) ).
tff(c_144896,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_144844]) ).
tff(c_144927,plain,
( memberP('#skF_50','#skF_52')
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssItem('#skF_52')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_144896,c_12]) ).
tff(c_144999,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_144896,c_392,c_390,c_388,c_144927]) ).
tff(c_125888,plain,
! [W_3592,U_3593,V_3594] :
( memberP(W_3592,U_3593)
| ( V_3594 = U_3593 )
| ~ memberP(cons(V_3594,W_3592),U_3593)
| ~ ssList(W_3592)
| ~ ssItem(V_3594)
| ~ ssItem(U_3593) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_125936,plain,
! [U_3593] :
( memberP(nil,U_3593)
| ( U_3593 = '#skF_56' )
| ~ memberP('#skF_50',U_3593)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_3593) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_125888]) ).
tff(c_128859,plain,
! [U_3625] :
( memberP(nil,U_3625)
| ( U_3625 = '#skF_56' )
| ~ memberP('#skF_50',U_3625)
| ~ ssItem(U_3625) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_125936]) ).
tff(c_128863,plain,
! [U_3625] :
( ( U_3625 = '#skF_56' )
| ~ memberP('#skF_50',U_3625)
| ~ ssItem(U_3625) ),
inference(resolution,[status(thm)],[c_128859,c_228]) ).
tff(c_145044,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_144999,c_128863]) ).
tff(c_145047,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_145044]) ).
tff(c_127670,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_127344]) ).
tff(c_127867,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_127670]) ).
tff(c_145196,plain,
app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_8207,c_145047,c_8207,c_145047,c_127867]) ).
tff(c_109563,plain,
! [V_3401,U_3402] :
( ( app(cons(V_3401,nil),U_3402) = cons(V_3401,U_3402) )
| ~ ssItem(V_3401)
| ~ ssList(U_3402) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_109582,plain,
! [U_3402] :
( ( cons('#skF_56',U_3402) = app('#skF_50',U_3402) )
| ~ ssItem('#skF_56')
| ~ ssList(U_3402) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_109563]) ).
tff(c_109587,plain,
! [U_3403] :
( ( cons('#skF_56',U_3403) = app('#skF_50',U_3403) )
| ~ ssList(U_3403) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_109582]) ).
tff(c_109763,plain,
cons('#skF_56','#skF_54') = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_388,c_109587]) ).
tff(c_109787,plain,
( ssList(app('#skF_50','#skF_54'))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_109763,c_166]) ).
tff(c_109807,plain,
ssList(app('#skF_50','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_7738,c_109787]) ).
tff(c_26,plain,
! [V_40,W_43] :
( frontsegP(app(V_40,W_43),V_40)
| ~ ssList(W_43)
| ~ ssList(V_40)
| ~ ssList(app(V_40,W_43)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_145248,plain,
( frontsegP('#skF_50','#skF_53')
| ~ ssList(app('#skF_50','#skF_54'))
| ~ ssList('#skF_53')
| ~ ssList(app('#skF_53',app('#skF_50','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_145196,c_26]) ).
tff(c_145296,plain,
frontsegP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_145196,c_390,c_109807,c_145248]) ).
tff(c_145298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139428,c_145296]) ).
tff(c_145299,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(splitRight,[status(thm)],[c_138957]) ).
tff(c_145313,plain,
cons('#skF_56','#skF_47'('#skF_53')) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_145299,c_97425]) ).
tff(c_124914,plain,
! [V_3581,W_3582,X_3583] :
( frontsegP(cons(V_3581,W_3582),cons(V_3581,X_3583))
| ~ frontsegP(W_3582,X_3583)
| ~ ssList(X_3583)
| ~ ssList(W_3582)
| ~ ssItem(V_3581) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_125002,plain,
! [W_3582] :
( frontsegP(cons('#skF_56',W_3582),'#skF_50')
| ~ frontsegP(W_3582,nil)
| ~ ssList(nil)
| ~ ssList(W_3582)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_124914]) ).
tff(c_125052,plain,
! [W_3582] :
( frontsegP(cons('#skF_56',W_3582),'#skF_50')
| ~ frontsegP(W_3582,nil)
| ~ ssList(W_3582) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_125002]) ).
tff(c_145416,plain,
( frontsegP('#skF_53','#skF_50')
| ~ frontsegP('#skF_47'('#skF_53'),nil)
| ~ ssList('#skF_47'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_145313,c_125052]) ).
tff(c_145515,plain,
frontsegP('#skF_53','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_95101,c_111031,c_145416]) ).
tff(c_145517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139427,c_145515]) ).
tff(c_145519,plain,
frontsegP('#skF_53','#skF_50'),
inference(splitRight,[status(thm)],[c_139240]) ).
tff(c_234,plain,
! [V_958,U_956] :
( ( V_958 = U_956 )
| ~ frontsegP(V_958,U_956)
| ~ frontsegP(U_956,V_958)
| ~ ssList(V_958)
| ~ ssList(U_956) ),
inference(cnfTransformation,[status(thm)],[f_544]) ).
tff(c_145538,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53')
| ~ ssList('#skF_53')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_145519,c_234]) ).
tff(c_145544,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53') ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_390,c_145538]) ).
tff(c_145545,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_128685,c_145544]) ).
tff(c_151176,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_132403,c_127748]) ).
tff(c_151244,plain,
( ( app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_346,c_151176]) ).
tff(c_151296,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_151244]) ).
tff(c_151327,plain,
( memberP('#skF_50','#skF_52')
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssItem('#skF_52')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_151296,c_12]) ).
tff(c_151399,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_151296,c_392,c_390,c_388,c_151327]) ).
tff(c_151444,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_151399,c_128863]) ).
tff(c_151447,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_151444]) ).
tff(c_151594,plain,
app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_8207,c_151447,c_8207,c_151447,c_127867]) ).
tff(c_151646,plain,
( frontsegP('#skF_50','#skF_53')
| ~ ssList(app('#skF_50','#skF_54'))
| ~ ssList('#skF_53')
| ~ ssList(app('#skF_53',app('#skF_50','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_151594,c_26]) ).
tff(c_151694,plain,
frontsegP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_151594,c_390,c_109807,c_151646]) ).
tff(c_151696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145545,c_151694]) ).
tff(c_151698,plain,
singletonP('#skF_53'),
inference(splitRight,[status(thm)],[c_95734]) ).
tff(c_22,plain,
! [U_30] :
( ( cons('#skF_5'(U_30),nil) = U_30 )
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_95339,plain,
! [U_30] :
( ( tl(U_30) = nil )
| ~ ssItem('#skF_5'(U_30))
| ~ ssList(nil)
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_95327]) ).
tff(c_207607,plain,
! [U_4514] :
( ( tl(U_4514) = nil )
| ~ ssItem('#skF_5'(U_4514))
| ~ singletonP(U_4514)
| ~ ssList(U_4514) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_95339]) ).
tff(c_207612,plain,
! [U_4515] :
( ( tl(U_4515) = nil )
| ~ singletonP(U_4515)
| ~ ssList(U_4515) ),
inference(resolution,[status(thm)],[c_24,c_207607]) ).
tff(c_207723,plain,
( ( tl('#skF_53') = nil )
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_390,c_207612]) ).
tff(c_207773,plain,
'#skF_47'('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_151698,c_95003,c_207723]) ).
tff(c_207775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_206907,c_207773]) ).
tff(c_207776,plain,
memberP('#skF_53','#skF_55'),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_208249,plain,
! [U_4573] :
( ( hd(U_4573) = '#skF_46'(U_4573) )
| ( nil = U_4573 )
| ~ ssList(U_4573) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_208361,plain,
( ( hd('#skF_54') = '#skF_46'('#skF_54') )
| ( nil = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_388,c_208249]) ).
tff(c_208391,plain,
nil = '#skF_54',
inference(splitLeft,[status(thm)],[c_208361]) ).
tff(c_208364,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_208249]) ).
tff(c_208881,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_208391,c_208364]) ).
tff(c_208882,plain,
'#skF_54' = '#skF_53',
inference(splitLeft,[status(thm)],[c_208881]) ).
tff(c_207777,plain,
~ memberP('#skF_54','#skF_55'),
inference(splitRight,[status(thm)],[c_428]) ).
tff(c_208907,plain,
~ memberP('#skF_53','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_208882,c_207777]) ).
tff(c_208912,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_207776,c_208907]) ).
tff(c_208914,plain,
'#skF_54' != '#skF_53',
inference(splitRight,[status(thm)],[c_208881]) ).
tff(c_207854,plain,
! [U_4522] :
( ( app(nil,U_4522) = U_4522 )
| ~ ssList(U_4522) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_207874,plain,
app(nil,'#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_400,c_207854]) ).
tff(c_208525,plain,
app('#skF_54','#skF_50') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_208391,c_207874]) ).
tff(c_218817,plain,
! [W_4829,U_4830,V_4831] :
( ( W_4829 = U_4830 )
| ( app(W_4829,V_4831) != app(U_4830,V_4831) )
| ~ ssList(W_4829)
| ~ ssList(V_4831)
| ~ ssList(U_4830) ),
inference(cnfTransformation,[status(thm)],[f_815]) ).
tff(c_219081,plain,
! [W_4829] :
( ( W_4829 = '#skF_54' )
| ( app(W_4829,'#skF_50') != '#skF_50' )
| ~ ssList(W_4829)
| ~ ssList('#skF_50')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_208525,c_218817]) ).
tff(c_231858,plain,
! [W_4976] :
( ( W_4976 = '#skF_54' )
| ( app(W_4976,'#skF_50') != '#skF_50' )
| ~ ssList(W_4976) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_400,c_219081]) ).
tff(c_231978,plain,
( ( '#skF_54' = '#skF_53' )
| ( app('#skF_53','#skF_50') != '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_231858]) ).
tff(c_232041,plain,
app('#skF_53','#skF_50') != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_208914,c_231978]) ).
tff(c_208544,plain,
cons('#skF_56','#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_208391,c_8207]) ).
tff(c_208521,plain,
app(app('#skF_53',cons('#skF_52','#skF_54')),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_208391,c_433]) ).
tff(c_238234,plain,
! [W_5075,V_5076,X_5077] :
( segmentP(app(app(W_5075,V_5076),X_5077),V_5076)
| ~ ssList(X_5077)
| ~ ssList(W_5075)
| ~ ssList(V_5076)
| ~ ssList(app(app(W_5075,V_5076),X_5077)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_238479,plain,
( segmentP('#skF_50',cons('#skF_52','#skF_54'))
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52','#skF_54'))
| ~ ssList(app(app('#skF_53',cons('#skF_52','#skF_54')),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_208521,c_238234]) ).
tff(c_238640,plain,
( segmentP('#skF_50',cons('#skF_52','#skF_54'))
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_208521,c_390,c_388,c_238479]) ).
tff(c_238830,plain,
~ ssList(cons('#skF_52','#skF_54')),
inference(splitLeft,[status(thm)],[c_238640]) ).
tff(c_238881,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(resolution,[status(thm)],[c_166,c_238830]) ).
tff(c_238885,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_238881]) ).
tff(c_238887,plain,
ssList(cons('#skF_52','#skF_54')),
inference(splitRight,[status(thm)],[c_238640]) ).
tff(c_208190,plain,
! [U_4571,V_4572] :
( ssList(app(U_4571,V_4572))
| ~ ssList(V_4572)
| ~ ssList(U_4571) ),
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_356,plain,
! [U_1080] :
( ( app(U_1080,nil) = U_1080 )
| ~ ssList(U_1080) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_208228,plain,
! [U_4571,V_4572] :
( ( app(app(U_4571,V_4572),nil) = app(U_4571,V_4572) )
| ~ ssList(V_4572)
| ~ ssList(U_4571) ),
inference(resolution,[status(thm)],[c_208190,c_356]) ).
tff(c_244425,plain,
! [U_5179,V_5180] :
( ( app(app(U_5179,V_5180),'#skF_54') = app(U_5179,V_5180) )
| ~ ssList(V_5180)
| ~ ssList(U_5179) ),
inference(demodulation,[status(thm),theory(equality)],[c_208391,c_208228]) ).
tff(c_244530,plain,
( ( app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_54'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_244425,c_208521]) ).
tff(c_244926,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_238887,c_244530]) ).
tff(c_245170,plain,
( memberP('#skF_50','#skF_52')
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssItem('#skF_52')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_244926,c_12]) ).
tff(c_245243,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_244926,c_392,c_390,c_388,c_245170]) ).
tff(c_234035,plain,
! [W_5011,U_5012,V_5013] :
( memberP(W_5011,U_5012)
| ( V_5013 = U_5012 )
| ~ memberP(cons(V_5013,W_5011),U_5012)
| ~ ssList(W_5011)
| ~ ssItem(V_5013)
| ~ ssItem(U_5012) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_234083,plain,
! [U_5012] :
( memberP('#skF_54',U_5012)
| ( U_5012 = '#skF_56' )
| ~ memberP('#skF_50',U_5012)
| ~ ssList('#skF_54')
| ~ ssItem('#skF_56')
| ~ ssItem(U_5012) ),
inference(superposition,[status(thm),theory(equality)],[c_208544,c_234035]) ).
tff(c_243260,plain,
! [U_5170] :
( memberP('#skF_54',U_5170)
| ( U_5170 = '#skF_56' )
| ~ memberP('#skF_50',U_5170)
| ~ ssItem(U_5170) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_388,c_234083]) ).
tff(c_208541,plain,
! [U_948] :
( ~ memberP('#skF_54',U_948)
| ~ ssItem(U_948) ),
inference(demodulation,[status(thm),theory(equality)],[c_208391,c_228]) ).
tff(c_243267,plain,
! [U_5170] :
( ( U_5170 = '#skF_56' )
| ~ memberP('#skF_50',U_5170)
| ~ ssItem(U_5170) ),
inference(resolution,[status(thm)],[c_243260,c_208541]) ).
tff(c_245288,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_245243,c_243267]) ).
tff(c_245291,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_245288]) ).
tff(c_245293,plain,
app('#skF_53',cons('#skF_56','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_245291,c_244926]) ).
tff(c_245324,plain,
app('#skF_53','#skF_50') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_208544,c_245293]) ).
tff(c_245326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232041,c_245324]) ).
tff(c_245328,plain,
nil != '#skF_54',
inference(splitRight,[status(thm)],[c_208361]) ).
tff(c_245327,plain,
hd('#skF_54') = '#skF_46'('#skF_54'),
inference(splitRight,[status(thm)],[c_208361]) ).
tff(c_245727,plain,
( ssItem('#skF_46'('#skF_54'))
| ( nil = '#skF_54' )
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_245327,c_184]) ).
tff(c_245731,plain,
( ssItem('#skF_46'('#skF_54'))
| ( nil = '#skF_54' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_245727]) ).
tff(c_245732,plain,
ssItem('#skF_46'('#skF_54')),
inference(negUnitSimplification,[status(thm)],[c_245328,c_245731]) ).
tff(c_245734,plain,
! [U_5188] :
( ( tl(U_5188) = '#skF_47'(U_5188) )
| ( nil = U_5188 )
| ~ ssList(U_5188) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_245812,plain,
( ( tl('#skF_54') = '#skF_47'('#skF_54') )
| ( nil = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_388,c_245734]) ).
tff(c_245852,plain,
tl('#skF_54') = '#skF_47'('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_245328,c_245812]) ).
tff(c_246050,plain,
( ssList('#skF_47'('#skF_54'))
| ( nil = '#skF_54' )
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_245852,c_188]) ).
tff(c_246054,plain,
( ssList('#skF_47'('#skF_54'))
| ( nil = '#skF_54' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_246050]) ).
tff(c_246055,plain,
ssList('#skF_47'('#skF_54')),
inference(negUnitSimplification,[status(thm)],[c_245328,c_246054]) ).
tff(c_285164,plain,
! [U_5770] :
( ( cons(hd(U_5770),tl(U_5770)) = U_5770 )
| ( nil = U_5770 )
| ~ ssList(U_5770) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_285219,plain,
( ( cons('#skF_46'('#skF_54'),tl('#skF_54')) = '#skF_54' )
| ( nil = '#skF_54' )
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_245327,c_285164]) ).
tff(c_285255,plain,
( ( cons('#skF_46'('#skF_54'),'#skF_47'('#skF_54')) = '#skF_54' )
| ( nil = '#skF_54' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_245852,c_285219]) ).
tff(c_285256,plain,
cons('#skF_46'('#skF_54'),'#skF_47'('#skF_54')) = '#skF_54',
inference(negUnitSimplification,[status(thm)],[c_245328,c_285255]) ).
tff(c_285462,plain,
( memberP('#skF_54','#skF_46'('#skF_54'))
| ~ ssList('#skF_47'('#skF_54'))
| ~ ssItem('#skF_46'('#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_285256,c_226]) ).
tff(c_285478,plain,
memberP('#skF_54','#skF_46'('#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_245732,c_246055,c_285462]) ).
tff(c_208333,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_400,c_208249]) ).
tff(c_208367,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_8208,c_208333]) ).
tff(c_246384,plain,
! [V_5200,U_5201] :
( ( hd(cons(V_5200,U_5201)) = V_5200 )
| ~ ssItem(V_5200)
| ~ ssList(U_5201) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_246396,plain,
( ( hd('#skF_50') = '#skF_56' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_246384]) ).
tff(c_246400,plain,
'#skF_46'('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_208367,c_246396]) ).
tff(c_246402,plain,
hd('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_246400,c_208367]) ).
tff(c_287772,plain,
! [U_5834,V_5835] :
( ( hd(app(U_5834,V_5835)) = hd(U_5834) )
| ( nil = U_5834 )
| ~ ssList(V_5835)
| ~ ssList(U_5834) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_287928,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = hd('#skF_50') )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_287772]) ).
tff(c_288097,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56' )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_246402,c_287928]) ).
tff(c_288255,plain,
~ ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitLeft,[status(thm)],[c_288097]) ).
tff(c_288258,plain,
( ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_288255]) ).
tff(c_288261,plain,
~ ssList(cons('#skF_52',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_288258]) ).
tff(c_288264,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_288261]) ).
tff(c_288268,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_288264]) ).
tff(c_288270,plain,
ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitRight,[status(thm)],[c_288097]) ).
tff(c_289272,plain,
! [W_5850,U_5851,V_5852] :
( ~ memberP(W_5850,U_5851)
| memberP(app(V_5852,W_5850),U_5851)
| ~ ssList(W_5850)
| ~ ssList(V_5852)
| ~ ssItem(U_5851) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_289413,plain,
! [U_5851] :
( ~ memberP('#skF_54',U_5851)
| memberP('#skF_50',U_5851)
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil)))
| ~ ssItem(U_5851) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_289272]) ).
tff(c_289866,plain,
! [U_5856] :
( ~ memberP('#skF_54',U_5856)
| memberP('#skF_50',U_5856)
| ~ ssItem(U_5856) ),
inference(demodulation,[status(thm),theory(equality)],[c_288270,c_388,c_289413]) ).
tff(c_289869,plain,
( memberP('#skF_50','#skF_46'('#skF_54'))
| ~ ssItem('#skF_46'('#skF_54')) ),
inference(resolution,[status(thm)],[c_285478,c_289866]) ).
tff(c_289872,plain,
memberP('#skF_50','#skF_46'('#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_245732,c_289869]) ).
tff(c_301920,plain,
! [W_6007,U_6008,V_6009] :
( memberP(W_6007,U_6008)
| ( V_6009 = U_6008 )
| ~ memberP(cons(V_6009,W_6007),U_6008)
| ~ ssList(W_6007)
| ~ ssItem(V_6009)
| ~ ssItem(U_6008) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_301968,plain,
! [U_6008] :
( memberP(nil,U_6008)
| ( U_6008 = '#skF_56' )
| ~ memberP('#skF_50',U_6008)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_6008) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_301920]) ).
tff(c_319521,plain,
! [U_6207] :
( memberP(nil,U_6207)
| ( U_6207 = '#skF_56' )
| ~ memberP('#skF_50',U_6207)
| ~ ssItem(U_6207) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_301968]) ).
tff(c_319526,plain,
! [U_6208] :
( ( U_6208 = '#skF_56' )
| ~ memberP('#skF_50',U_6208)
| ~ ssItem(U_6208) ),
inference(resolution,[status(thm)],[c_319521,c_228]) ).
tff(c_319535,plain,
( ( '#skF_46'('#skF_54') = '#skF_56' )
| ~ ssItem('#skF_46'('#skF_54')) ),
inference(resolution,[status(thm)],[c_289872,c_319526]) ).
tff(c_319547,plain,
'#skF_46'('#skF_54') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_245732,c_319535]) ).
tff(c_319570,plain,
memberP('#skF_54','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_319547,c_285478]) ).
tff(c_306527,plain,
! [W_6069,V_6070,X_6071] :
( segmentP(app(app(W_6069,V_6070),X_6071),V_6070)
| ~ ssList(X_6071)
| ~ ssList(W_6069)
| ~ ssList(V_6070)
| ~ ssList(app(app(W_6069,V_6070),X_6071)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_306721,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList(app(app('#skF_53',cons('#skF_52',nil)),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_306527]) ).
tff(c_306854,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_433,c_390,c_388,c_306721]) ).
tff(c_310041,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_306854]) ).
tff(c_310045,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_310041]) ).
tff(c_310049,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_310045]) ).
tff(c_310051,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_306854]) ).
tff(c_288512,plain,
! [V_5842,W_5843] :
( frontsegP(app(V_5842,W_5843),V_5842)
| ~ ssList(W_5843)
| ~ ssList(V_5842)
| ~ ssList(app(V_5842,W_5843)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_288649,plain,
( frontsegP('#skF_50',app('#skF_53',cons('#skF_52',nil)))
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil)))
| ~ ssList(app(app('#skF_53',cons('#skF_52',nil)),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_288512]) ).
tff(c_288765,plain,
frontsegP('#skF_50',app('#skF_53',cons('#skF_52',nil))),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_433,c_288270,c_388,c_288649]) ).
tff(c_245329,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_208364]) ).
tff(c_245686,plain,
! [U_5185] :
( ~ memberP('#skF_53',U_5185)
| ~ ssItem(U_5185) ),
inference(demodulation,[status(thm),theory(equality)],[c_245329,c_228]) ).
tff(c_245689,plain,
~ ssItem('#skF_55'),
inference(resolution,[status(thm)],[c_207776,c_245686]) ).
tff(c_245693,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_245689]) ).
tff(c_245695,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_208364]) ).
tff(c_245694,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(splitRight,[status(thm)],[c_208364]) ).
tff(c_245717,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_245694,c_184]) ).
tff(c_245721,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_245717]) ).
tff(c_245722,plain,
ssItem('#skF_46'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_245695,c_245721]) ).
tff(c_245818,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_245734]) ).
tff(c_245857,plain,
tl('#skF_53') = '#skF_47'('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_245695,c_245818]) ).
tff(c_246081,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_245857,c_188]) ).
tff(c_246085,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_246081]) ).
tff(c_246086,plain,
ssList('#skF_47'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_245695,c_246085]) ).
tff(c_246105,plain,
( ( hd('#skF_47'('#skF_53')) = '#skF_46'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = nil ) ),
inference(resolution,[status(thm)],[c_246086,c_330]) ).
tff(c_284442,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_246105]) ).
tff(c_284449,plain,
tl('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_284442,c_245857]) ).
tff(c_285222,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_245694,c_285164]) ).
tff(c_285258,plain,
( ( cons('#skF_46'('#skF_53'),nil) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_284449,c_285222]) ).
tff(c_285259,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_245695,c_285258]) ).
tff(c_300769,plain,
! [X_5997,W_5998,V_5999,U_6000] :
( ( X_5997 = W_5998 )
| ( cons(X_5997,V_5999) != cons(W_5998,U_6000) )
| ~ ssItem(X_5997)
| ~ ssItem(W_5998)
| ~ ssList(V_5999)
| ~ ssList(U_6000) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_300825,plain,
! [X_5997,V_5999] :
( ( X_5997 = '#skF_56' )
| ( cons(X_5997,V_5999) != '#skF_50' )
| ~ ssItem(X_5997)
| ~ ssItem('#skF_56')
| ~ ssList(V_5999)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_300769]) ).
tff(c_302903,plain,
! [X_6023,V_6024] :
( ( X_6023 = '#skF_56' )
| ( cons(X_6023,V_6024) != '#skF_50' )
| ~ ssItem(X_6023)
| ~ ssList(V_6024) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_300825]) ).
tff(c_302921,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( '#skF_53' != '#skF_50' )
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_285259,c_302903]) ).
tff(c_302949,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( '#skF_53' != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_245722,c_302921]) ).
tff(c_302959,plain,
'#skF_53' != '#skF_50',
inference(splitLeft,[status(thm)],[c_302949]) ).
tff(c_245821,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_400,c_245734]) ).
tff(c_245860,plain,
tl('#skF_50') = '#skF_47'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_8208,c_245821]) ).
tff(c_245867,plain,
( ssList('#skF_47'('#skF_50'))
| ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_245860,c_188]) ).
tff(c_245871,plain,
( ssList('#skF_47'('#skF_50'))
| ( nil = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_245867]) ).
tff(c_245872,plain,
ssList('#skF_47'('#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_8208,c_245871]) ).
tff(c_245887,plain,
( ( hd('#skF_47'('#skF_50')) = '#skF_46'('#skF_47'('#skF_50')) )
| ( '#skF_47'('#skF_50') = nil ) ),
inference(resolution,[status(thm)],[c_245872,c_330]) ).
tff(c_246293,plain,
'#skF_47'('#skF_50') = nil,
inference(splitLeft,[status(thm)],[c_245887]) ).
tff(c_246297,plain,
tl('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_246293,c_245860]) ).
tff(c_305824,plain,
! [V_6062,U_6063] :
( ( V_6062 = U_6063 )
| ( tl(V_6062) != tl(U_6063) )
| ( hd(V_6062) != hd(U_6063) )
| ( nil = U_6063 )
| ( nil = V_6062 )
| ~ ssList(V_6062)
| ~ ssList(U_6063) ),
inference(cnfTransformation,[status(thm)],[f_796]) ).
tff(c_305882,plain,
! [U_6063] :
( ( U_6063 = '#skF_50' )
| ( tl(U_6063) != nil )
| ( hd(U_6063) != hd('#skF_50') )
| ( nil = U_6063 )
| ( nil = '#skF_50' )
| ~ ssList('#skF_50')
| ~ ssList(U_6063) ),
inference(superposition,[status(thm),theory(equality)],[c_246297,c_305824]) ).
tff(c_305944,plain,
! [U_6063] :
( ( U_6063 = '#skF_50' )
| ( tl(U_6063) != nil )
| ( hd(U_6063) != '#skF_56' )
| ( nil = U_6063 )
| ( nil = '#skF_50' )
| ~ ssList(U_6063) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_246402,c_305882]) ).
tff(c_305955,plain,
! [U_6064] :
( ( U_6064 = '#skF_50' )
| ( tl(U_6064) != nil )
| ( hd(U_6064) != '#skF_56' )
| ( nil = U_6064 )
| ~ ssList(U_6064) ),
inference(negUnitSimplification,[status(thm)],[c_8208,c_305944]) ).
tff(c_306087,plain,
( ( '#skF_53' = '#skF_50' )
| ( tl('#skF_53') != nil )
| ( hd('#skF_53') != '#skF_56' )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_305955]) ).
tff(c_306163,plain,
( ( '#skF_53' = '#skF_50' )
| ( '#skF_46'('#skF_53') != '#skF_56' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_245694,c_284449,c_306087]) ).
tff(c_306164,plain,
'#skF_46'('#skF_53') != '#skF_56',
inference(negUnitSimplification,[status(thm)],[c_245695,c_302959,c_306163]) ).
tff(c_286941,plain,
! [V_5825,U_5826] :
( ( app(cons(V_5825,nil),U_5826) = cons(V_5825,U_5826) )
| ~ ssItem(V_5825)
| ~ ssList(U_5826) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_286957,plain,
! [U_5826] :
( ( cons('#skF_46'('#skF_53'),U_5826) = app('#skF_53',U_5826) )
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList(U_5826) ),
inference(superposition,[status(thm),theory(equality)],[c_285259,c_286941]) ).
tff(c_286970,plain,
! [U_5826] :
( ( cons('#skF_46'('#skF_53'),U_5826) = app('#skF_53',U_5826) )
| ~ ssList(U_5826) ),
inference(demodulation,[status(thm),theory(equality)],[c_245722,c_286957]) ).
tff(c_305152,plain,
! [V_6051,U_6052,W_6053,X_6054] :
( ( V_6051 = U_6052 )
| ~ frontsegP(cons(U_6052,W_6053),cons(V_6051,X_6054))
| ~ ssList(X_6054)
| ~ ssList(W_6053)
| ~ ssItem(V_6051)
| ~ ssItem(U_6052) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_305252,plain,
! [V_6051,X_6054] :
( ( V_6051 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_6051,X_6054))
| ~ ssList(X_6054)
| ~ ssList(nil)
| ~ ssItem(V_6051)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_305152]) ).
tff(c_316252,plain,
! [V_6163,X_6164] :
( ( V_6163 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_6163,X_6164))
| ~ ssList(X_6164)
| ~ ssItem(V_6163) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_305252]) ).
tff(c_316264,plain,
! [U_5826] :
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50',app('#skF_53',U_5826))
| ~ ssList(U_5826)
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList(U_5826) ),
inference(superposition,[status(thm),theory(equality)],[c_286970,c_316252]) ).
tff(c_316324,plain,
! [U_5826] :
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50',app('#skF_53',U_5826))
| ~ ssList(U_5826) ),
inference(demodulation,[status(thm),theory(equality)],[c_245722,c_316264]) ).
tff(c_316385,plain,
! [U_6166] :
( ~ frontsegP('#skF_50',app('#skF_53',U_6166))
| ~ ssList(U_6166) ),
inference(negUnitSimplification,[status(thm)],[c_306164,c_316324]) ).
tff(c_316388,plain,
~ ssList(cons('#skF_52',nil)),
inference(resolution,[status(thm)],[c_288765,c_316385]) ).
tff(c_316399,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_310051,c_316388]) ).
tff(c_316401,plain,
'#skF_53' = '#skF_50',
inference(splitRight,[status(thm)],[c_302949]) ).
tff(c_316577,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_316401,c_207776]) ).
tff(c_319529,plain,
( ( '#skF_55' = '#skF_56' )
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_316577,c_319526]) ).
tff(c_319541,plain,
'#skF_55' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_384,c_319529]) ).
tff(c_319559,plain,
~ memberP('#skF_54','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_319541,c_207777]) ).
tff(c_319769,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_319570,c_319559]) ).
tff(c_319771,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_246105]) ).
tff(c_272163,plain,
! [W_5589,V_5590,X_5591] :
( segmentP(app(app(W_5589,V_5590),X_5591),V_5590)
| ~ ssList(X_5591)
| ~ ssList(W_5589)
| ~ ssList(V_5590)
| ~ ssList(app(app(W_5589,V_5590),X_5591)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_272405,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList(app(app('#skF_53',cons('#skF_52',nil)),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_272163]) ).
tff(c_272562,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_433,c_390,c_388,c_272405]) ).
tff(c_272773,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_272562]) ).
tff(c_272776,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_272773]) ).
tff(c_272780,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_272776]) ).
tff(c_272782,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_272562]) ).
tff(c_266291,plain,
! [U_5527,V_5528,W_5529] :
( ( app(app(U_5527,V_5528),W_5529) = app(U_5527,app(V_5528,W_5529)) )
| ~ ssList(W_5529)
| ~ ssList(V_5528)
| ~ ssList(U_5527) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_266584,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_266291]) ).
tff(c_266763,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_266584]) ).
tff(c_280846,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_272782,c_266763]) ).
tff(c_280905,plain,
( ( app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_346,c_280846]) ).
tff(c_280951,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_280905]) ).
tff(c_280976,plain,
( memberP('#skF_50','#skF_52')
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssItem('#skF_52')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_280951,c_12]) ).
tff(c_281044,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_280951,c_392,c_390,c_388,c_280976]) ).
tff(c_265836,plain,
! [W_5519,U_5520,V_5521] :
( memberP(W_5519,U_5520)
| ( V_5521 = U_5520 )
| ~ memberP(cons(V_5521,W_5519),U_5520)
| ~ ssList(W_5519)
| ~ ssItem(V_5521)
| ~ ssItem(U_5520) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_265887,plain,
! [U_5520] :
( memberP(nil,U_5520)
| ( U_5520 = '#skF_56' )
| ~ memberP('#skF_50',U_5520)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_5520) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_265836]) ).
tff(c_269460,plain,
! [U_5563] :
( memberP(nil,U_5563)
| ( U_5563 = '#skF_56' )
| ~ memberP('#skF_50',U_5563)
| ~ ssItem(U_5563) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_265887]) ).
tff(c_269464,plain,
! [U_5563] :
( ( U_5563 = '#skF_56' )
| ~ memberP('#skF_50',U_5563)
| ~ ssItem(U_5563) ),
inference(resolution,[status(thm)],[c_269460,c_228]) ).
tff(c_281089,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_281044,c_269464]) ).
tff(c_281092,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_281089]) ).
tff(c_272781,plain,
segmentP('#skF_50',cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_272562]) ).
tff(c_281144,plain,
segmentP('#skF_50',cons('#skF_56',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_281092,c_272781]) ).
tff(c_281185,plain,
segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_8207,c_281144]) ).
tff(c_268,plain,
! [V_1013,U_1011] :
( ( V_1013 = U_1011 )
| ~ segmentP(V_1013,U_1011)
| ~ segmentP(U_1011,V_1013)
| ~ ssList(V_1013)
| ~ ssList(U_1011) ),
inference(cnfTransformation,[status(thm)],[f_663]) ).
tff(c_272914,plain,
( ( cons('#skF_52',nil) = '#skF_50' )
| ~ segmentP(cons('#skF_52',nil),'#skF_50')
| ~ ssList('#skF_50')
| ~ ssList(cons('#skF_52',nil)) ),
inference(resolution,[status(thm)],[c_272781,c_268]) ).
tff(c_272920,plain,
( ( cons('#skF_52',nil) = '#skF_50' )
| ~ segmentP(cons('#skF_52',nil),'#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_272782,c_400,c_272914]) ).
tff(c_273741,plain,
~ segmentP(cons('#skF_52',nil),'#skF_50'),
inference(splitLeft,[status(thm)],[c_272920]) ).
tff(c_281131,plain,
~ segmentP(cons('#skF_56',nil),'#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_281092,c_273741]) ).
tff(c_281172,plain,
~ segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_8207,c_281131]) ).
tff(c_281207,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_281185,c_281172]) ).
tff(c_281208,plain,
cons('#skF_52',nil) = '#skF_50',
inference(splitRight,[status(thm)],[c_272920]) ).
tff(c_281226,plain,
app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_281208,c_433]) ).
tff(c_281782,plain,
( ( app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList('#skF_50')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_281226,c_348]) ).
tff(c_281839,plain,
app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_400,c_388,c_281782]) ).
tff(c_251144,plain,
! [V_5345,U_5346] :
( ( app(cons(V_5345,nil),U_5346) = cons(V_5345,U_5346) )
| ~ ssItem(V_5345)
| ~ ssList(U_5346) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_251166,plain,
! [U_5346] :
( ( cons('#skF_56',U_5346) = app('#skF_50',U_5346) )
| ~ ssItem('#skF_56')
| ~ ssList(U_5346) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_251144]) ).
tff(c_251173,plain,
! [U_5347] :
( ( cons('#skF_56',U_5347) = app('#skF_50',U_5347) )
| ~ ssList(U_5347) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_251166]) ).
tff(c_251337,plain,
cons('#skF_56','#skF_54') = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_388,c_251173]) ).
tff(c_251357,plain,
( ssList(app('#skF_50','#skF_54'))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_251337,c_166]) ).
tff(c_251371,plain,
ssList(app('#skF_50','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_7738,c_251357]) ).
tff(c_282278,plain,
( frontsegP('#skF_50','#skF_53')
| ~ ssList(app('#skF_50','#skF_54'))
| ~ ssList('#skF_53')
| ~ ssList(app('#skF_53',app('#skF_50','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_281839,c_26]) ).
tff(c_282321,plain,
frontsegP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_281839,c_390,c_251371,c_282278]) ).
tff(c_251310,plain,
cons('#skF_56','#skF_47'('#skF_53')) = app('#skF_50','#skF_47'('#skF_53')),
inference(resolution,[status(thm)],[c_246086,c_251173]) ).
tff(c_282284,plain,
( ( hd('#skF_53') = hd('#skF_50') )
| ( nil = '#skF_53' )
| ~ ssList(app('#skF_50','#skF_54'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_281839,c_358]) ).
tff(c_282325,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_251371,c_245694,c_246402,c_282284]) ).
tff(c_282326,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(negUnitSimplification,[status(thm)],[c_245695,c_282325]) ).
tff(c_282350,plain,
hd('#skF_53') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_282326,c_245694]) ).
tff(c_282572,plain,
( ( cons('#skF_56',tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_282350,c_340]) ).
tff(c_282591,plain,
( ( app('#skF_50','#skF_47'('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_251310,c_245857,c_282572]) ).
tff(c_282592,plain,
app('#skF_50','#skF_47'('#skF_53')) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_245695,c_282591]) ).
tff(c_246456,plain,
! [U_5211] :
( ( cons('#skF_5'(U_5211),nil) = U_5211 )
| ~ singletonP(U_5211)
| ~ ssList(U_5211) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_326,plain,
! [U_1044] :
( equalelemsP(cons(U_1044,nil))
| ~ ssItem(U_1044) ),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_246879,plain,
! [U_5227] :
( equalelemsP(U_5227)
| ~ ssItem('#skF_5'(U_5227))
| ~ singletonP(U_5227)
| ~ ssList(U_5227) ),
inference(superposition,[status(thm),theory(equality)],[c_246456,c_326]) ).
tff(c_246884,plain,
! [U_5228] :
( equalelemsP(U_5228)
| ~ singletonP(U_5228)
| ~ ssList(U_5228) ),
inference(resolution,[status(thm)],[c_24,c_246879]) ).
tff(c_247011,plain,
( equalelemsP('#skF_53')
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_390,c_246884]) ).
tff(c_247016,plain,
~ singletonP('#skF_53'),
inference(splitLeft,[status(thm)],[c_247011]) ).
tff(c_248310,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_246105]) ).
tff(c_248316,plain,
tl('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_248310,c_245857]) ).
tff(c_248382,plain,
! [U_5272] :
( ( cons(hd(U_5272),tl(U_5272)) = U_5272 )
| ( nil = U_5272 )
| ~ ssList(U_5272) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_248437,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_245694,c_248382]) ).
tff(c_248470,plain,
( ( cons('#skF_46'('#skF_53'),nil) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_248316,c_248437]) ).
tff(c_248471,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_245695,c_248470]) ).
tff(c_248343,plain,
! [V_5268] :
( singletonP(cons(V_5268,nil))
| ~ ssItem(V_5268)
| ~ ssList(cons(V_5268,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_248350,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_248343]) ).
tff(c_248356,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_248350]) ).
tff(c_248582,plain,
( singletonP('#skF_53')
| ~ ssItem('#skF_46'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_248471,c_248356]) ).
tff(c_248623,plain,
singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_245722,c_248582]) ).
tff(c_248625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_247016,c_248623]) ).
tff(c_248627,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_246105]) ).
tff(c_207798,plain,
! [U_4519] :
( ( app(U_4519,nil) = U_4519 )
| ~ ssList(U_4519) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_207817,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_400,c_207798]) ).
tff(c_253907,plain,
! [W_5373,U_5374,V_5375] :
( ( W_5373 = U_5374 )
| ( app(V_5375,W_5373) != app(V_5375,U_5374) )
| ~ ssList(W_5373)
| ~ ssList(V_5375)
| ~ ssList(U_5374) ),
inference(cnfTransformation,[status(thm)],[f_827]) ).
tff(c_254147,plain,
! [W_5373] :
( ( nil = W_5373 )
| ( app('#skF_50',W_5373) != '#skF_50' )
| ~ ssList(W_5373)
| ~ ssList('#skF_50')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_207817,c_253907]) ).
tff(c_264882,plain,
! [W_5505] :
( ( nil = W_5505 )
| ( app('#skF_50',W_5505) != '#skF_50' )
| ~ ssList(W_5505) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_400,c_254147]) ).
tff(c_264936,plain,
( ( '#skF_47'('#skF_53') = nil )
| ( app('#skF_50','#skF_47'('#skF_53')) != '#skF_50' ) ),
inference(resolution,[status(thm)],[c_246086,c_264882]) ).
tff(c_265065,plain,
app('#skF_50','#skF_47'('#skF_53')) != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_248627,c_264936]) ).
tff(c_252876,plain,
( ssList(app('#skF_50','#skF_47'('#skF_53')))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_47'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_251310,c_166]) ).
tff(c_252896,plain,
ssList(app('#skF_50','#skF_47'('#skF_53'))),
inference(demodulation,[status(thm),theory(equality)],[c_246086,c_7738,c_252876]) ).
tff(c_246106,plain,
app(nil,'#skF_47'('#skF_53')) = '#skF_47'('#skF_53'),
inference(resolution,[status(thm)],[c_246086,c_196]) ).
tff(c_253402,plain,
! [V_5368,W_5369] :
( frontsegP(app(V_5368,W_5369),V_5368)
| ~ ssList(W_5369)
| ~ ssList(V_5368)
| ~ ssList(app(V_5368,W_5369)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_253560,plain,
( frontsegP('#skF_47'('#skF_53'),nil)
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssList(nil)
| ~ ssList(app(nil,'#skF_47'('#skF_53'))) ),
inference(superposition,[status(thm),theory(equality)],[c_246106,c_253402]) ).
tff(c_253692,plain,
frontsegP('#skF_47'('#skF_53'),nil),
inference(demodulation,[status(thm),theory(equality)],[c_246086,c_246106,c_168,c_246086,c_253560]) ).
tff(c_266835,plain,
! [V_5531,W_5532,X_5533] :
( frontsegP(cons(V_5531,W_5532),cons(V_5531,X_5533))
| ~ frontsegP(W_5532,X_5533)
| ~ ssList(X_5533)
| ~ ssList(W_5532)
| ~ ssItem(V_5531) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_266929,plain,
! [W_5532] :
( frontsegP(cons('#skF_56',W_5532),'#skF_50')
| ~ frontsegP(W_5532,nil)
| ~ ssList(nil)
| ~ ssList(W_5532)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_266835]) ).
tff(c_273401,plain,
! [W_5601] :
( frontsegP(cons('#skF_56',W_5601),'#skF_50')
| ~ frontsegP(W_5601,nil)
| ~ ssList(W_5601) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_266929]) ).
tff(c_273415,plain,
( frontsegP(app('#skF_50','#skF_47'('#skF_53')),'#skF_50')
| ~ frontsegP('#skF_47'('#skF_53'),nil)
| ~ ssList('#skF_47'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_251310,c_273401]) ).
tff(c_273442,plain,
frontsegP(app('#skF_50','#skF_47'('#skF_53')),'#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_246086,c_253692,c_273415]) ).
tff(c_273575,plain,
( ( app('#skF_50','#skF_47'('#skF_53')) = '#skF_50' )
| ~ frontsegP('#skF_50',app('#skF_50','#skF_47'('#skF_53')))
| ~ ssList(app('#skF_50','#skF_47'('#skF_53')))
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_273442,c_234]) ).
tff(c_273581,plain,
( ( app('#skF_50','#skF_47'('#skF_53')) = '#skF_50' )
| ~ frontsegP('#skF_50',app('#skF_50','#skF_47'('#skF_53'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_252896,c_273575]) ).
tff(c_273582,plain,
~ frontsegP('#skF_50',app('#skF_50','#skF_47'('#skF_53'))),
inference(negUnitSimplification,[status(thm)],[c_265065,c_273581]) ).
tff(c_282608,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_282592,c_273582]) ).
tff(c_282634,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_282321,c_282608]) ).
tff(c_282636,plain,
singletonP('#skF_53'),
inference(splitRight,[status(thm)],[c_247011]) ).
tff(c_190,plain,
! [V_895,U_893] :
( ( tl(cons(V_895,U_893)) = U_893 )
| ~ ssItem(V_895)
| ~ ssList(U_893) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_246468,plain,
! [U_5211] :
( ( tl(U_5211) = nil )
| ~ ssItem('#skF_5'(U_5211))
| ~ ssList(nil)
| ~ singletonP(U_5211)
| ~ ssList(U_5211) ),
inference(superposition,[status(thm),theory(equality)],[c_246456,c_190]) ).
tff(c_322711,plain,
! [U_6297] :
( ( tl(U_6297) = nil )
| ~ ssItem('#skF_5'(U_6297))
| ~ singletonP(U_6297)
| ~ ssList(U_6297) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_246468]) ).
tff(c_322716,plain,
! [U_6298] :
( ( tl(U_6298) = nil )
| ~ singletonP(U_6298)
| ~ ssList(U_6298) ),
inference(resolution,[status(thm)],[c_24,c_322711]) ).
tff(c_322836,plain,
( ( tl('#skF_53') = nil )
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_390,c_322716]) ).
tff(c_322892,plain,
'#skF_47'('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_282636,c_245857,c_322836]) ).
tff(c_322894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_319771,c_322892]) ).
tff(c_322896,plain,
'#skF_47'('#skF_50') != nil,
inference(splitRight,[status(thm)],[c_245887]) ).
tff(c_322929,plain,
! [V_6299,U_6300] :
( ( tl(cons(V_6299,U_6300)) = U_6300 )
| ~ ssItem(V_6299)
| ~ ssList(U_6300) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_322941,plain,
( ( tl('#skF_50') = nil )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_322929]) ).
tff(c_322945,plain,
'#skF_47'('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_245860,c_322941]) ).
tff(c_322947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322896,c_322945]) ).
tff(c_322948,plain,
memberP('#skF_54','#skF_55'),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_323789,plain,
memberP('#skF_53','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_323788,c_322948]) ).
tff(c_323936,plain,
! [U_6365] :
( ~ memberP('#skF_53',U_6365)
| ~ ssItem(U_6365) ),
inference(demodulation,[status(thm),theory(equality)],[c_323696,c_228]) ).
tff(c_323939,plain,
~ ssItem('#skF_55'),
inference(resolution,[status(thm)],[c_323789,c_323936]) ).
tff(c_323943,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_323939]) ).
tff(c_323945,plain,
'#skF_54' != '#skF_53',
inference(splitRight,[status(thm)],[c_323787]) ).
tff(c_323638,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_400,c_323554]) ).
tff(c_323672,plain,
tl('#skF_50') = '#skF_47'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_8208,c_323638]) ).
tff(c_323689,plain,
( ssList('#skF_47'('#skF_50'))
| ( nil = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_323672,c_188]) ).
tff(c_323693,plain,
( ssList('#skF_47'('#skF_50'))
| ( nil = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_323689]) ).
tff(c_323694,plain,
ssList('#skF_47'('#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_8208,c_323693]) ).
tff(c_324884,plain,
! [U_6397] :
( ( hd(U_6397) = '#skF_46'(U_6397) )
| ( U_6397 = '#skF_53' )
| ~ ssList(U_6397) ),
inference(demodulation,[status(thm),theory(equality)],[c_323696,c_330]) ).
tff(c_324986,plain,
( ( hd('#skF_47'('#skF_50')) = '#skF_46'('#skF_47'('#skF_50')) )
| ( '#skF_47'('#skF_50') = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_323694,c_324884]) ).
tff(c_325091,plain,
'#skF_47'('#skF_50') = '#skF_53',
inference(splitLeft,[status(thm)],[c_324986]) ).
tff(c_325097,plain,
tl('#skF_50') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_325091,c_323672]) ).
tff(c_323709,plain,
app(app('#skF_53',cons('#skF_52','#skF_53')),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_323696,c_433]) ).
tff(c_418228,plain,
! [W_7730,V_7731,X_7732] :
( segmentP(app(app(W_7730,V_7731),X_7732),V_7731)
| ~ ssList(X_7732)
| ~ ssList(W_7730)
| ~ ssList(V_7731)
| ~ ssList(app(app(W_7730,V_7731),X_7732)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_418503,plain,
( segmentP('#skF_50',cons('#skF_52','#skF_53'))
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52','#skF_53'))
| ~ ssList(app(app('#skF_53',cons('#skF_52','#skF_53')),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_323709,c_418228]) ).
tff(c_418668,plain,
( segmentP('#skF_50',cons('#skF_52','#skF_53'))
| ~ ssList(cons('#skF_52','#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_323709,c_390,c_388,c_418503]) ).
tff(c_418814,plain,
~ ssList(cons('#skF_52','#skF_53')),
inference(splitLeft,[status(thm)],[c_418668]) ).
tff(c_418818,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_166,c_418814]) ).
tff(c_418822,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_392,c_418818]) ).
tff(c_418824,plain,
ssList(cons('#skF_52','#skF_53')),
inference(splitRight,[status(thm)],[c_418668]) ).
tff(c_323714,plain,
! [U_906] :
( ( app('#skF_53',U_906) = U_906 )
| ~ ssList(U_906) ),
inference(demodulation,[status(thm),theory(equality)],[c_323696,c_196]) ).
tff(c_418930,plain,
app('#skF_53',cons('#skF_52','#skF_53')) = cons('#skF_52','#skF_53'),
inference(resolution,[status(thm)],[c_418824,c_323714]) ).
tff(c_419161,plain,
app(cons('#skF_52','#skF_53'),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_418930,c_323709]) ).
tff(c_328275,plain,
! [V_1069,U_1067] :
( ( app(cons(V_1069,'#skF_53'),U_1067) = cons(V_1069,U_1067) )
| ~ ssItem(V_1069)
| ~ ssList(U_1067) ),
inference(demodulation,[status(thm),theory(equality)],[c_323696,c_346]) ).
tff(c_419328,plain,
( ( cons('#skF_52','#skF_54') = '#skF_50' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_419161,c_328275]) ).
tff(c_419374,plain,
cons('#skF_52','#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_419328]) ).
tff(c_419433,plain,
( ( tl('#skF_50') = '#skF_54' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_419374,c_190]) ).
tff(c_419486,plain,
'#skF_54' = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_325097,c_419433]) ).
tff(c_419488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_323945,c_419486]) ).
tff(c_419490,plain,
'#skF_47'('#skF_50') != '#skF_53',
inference(splitRight,[status(thm)],[c_324986]) ).
tff(c_323731,plain,
cons('#skF_56','#skF_53') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_323696,c_8207]) ).
tff(c_419599,plain,
! [V_7737,U_7738] :
( ( tl(cons(V_7737,U_7738)) = U_7738 )
| ~ ssItem(V_7737)
| ~ ssList(U_7738) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_419614,plain,
( ( tl('#skF_50') = '#skF_53' )
| ~ ssItem('#skF_56')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_323731,c_419599]) ).
tff(c_419620,plain,
'#skF_47'('#skF_50') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_7738,c_323672,c_419614]) ).
tff(c_419622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_419490,c_419620]) ).
tff(c_419624,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_323537]) ).
tff(c_585853,plain,
! [V_10036] :
( singletonP(cons(V_10036,nil))
| ~ ssItem(V_10036)
| ~ ssList(cons(V_10036,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_585866,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_585853]) ).
tff(c_585876,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_585866]) ).
tff(c_419623,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(splitRight,[status(thm)],[c_323537]) ).
tff(c_323506,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_400,c_323422]) ).
tff(c_323540,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_8208,c_323506]) ).
tff(c_420698,plain,
! [V_7767,U_7768] :
( ( hd(cons(V_7767,U_7768)) = V_7767 )
| ~ ssItem(V_7767)
| ~ ssList(U_7768) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_420713,plain,
( ( hd('#skF_50') = '#skF_56' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_420698]) ).
tff(c_420719,plain,
'#skF_46'('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_323540,c_420713]) ).
tff(c_420721,plain,
hd('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_420719,c_323540]) ).
tff(c_587315,plain,
! [U_10095,V_10096] :
( ( hd(app(U_10095,V_10096)) = hd(U_10095) )
| ( nil = U_10095 )
| ~ ssList(V_10096)
| ~ ssList(U_10095) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_587411,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = hd('#skF_50') )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_587315]) ).
tff(c_587523,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56' )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_420721,c_587411]) ).
tff(c_587665,plain,
~ ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitLeft,[status(thm)],[c_587523]) ).
tff(c_587668,plain,
( ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_587665]) ).
tff(c_587671,plain,
~ ssList(cons('#skF_52',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_587668]) ).
tff(c_587674,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_587671]) ).
tff(c_587678,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_587674]) ).
tff(c_587679,plain,
( ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ( hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56' ) ),
inference(splitRight,[status(thm)],[c_587523]) ).
tff(c_587880,plain,
hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56',
inference(splitLeft,[status(thm)],[c_587679]) ).
tff(c_587884,plain,
( ( hd('#skF_53') = '#skF_56' )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_587880,c_358]) ).
tff(c_587897,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_419623,c_587884]) ).
tff(c_587898,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(negUnitSimplification,[status(thm)],[c_419624,c_587897]) ).
tff(c_587907,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_587898]) ).
tff(c_587910,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_587907]) ).
tff(c_587914,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_587910]) ).
tff(c_587916,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_587898]) ).
tff(c_420576,plain,
! [U_7755] :
( ( cons('#skF_5'(U_7755),nil) = U_7755 )
| ~ singletonP(U_7755)
| ~ ssList(U_7755) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
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_420581,plain,
! [U_7755] :
( ( nil != U_7755 )
| ~ ssItem('#skF_5'(U_7755))
| ~ ssList(nil)
| ~ singletonP(U_7755)
| ~ ssList(U_7755) ),
inference(superposition,[status(thm),theory(equality)],[c_420576,c_170]) ).
tff(c_420746,plain,
! [U_7770] :
( ( nil != U_7770 )
| ~ ssItem('#skF_5'(U_7770))
| ~ singletonP(U_7770)
| ~ ssList(U_7770) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_420581]) ).
tff(c_420750,plain,
! [U_30] :
( ( nil != U_30 )
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(resolution,[status(thm)],[c_24,c_420746]) ).
tff(c_588046,plain,
( ( cons('#skF_52',nil) != nil )
| ~ singletonP(cons('#skF_52',nil)) ),
inference(resolution,[status(thm)],[c_587916,c_420750]) ).
tff(c_588847,plain,
~ singletonP(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_588046]) ).
tff(c_588850,plain,
~ ssItem('#skF_52'),
inference(resolution,[status(thm)],[c_585876,c_588847]) ).
tff(c_588854,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_392,c_588850]) ).
tff(c_588855,plain,
cons('#skF_52',nil) != nil,
inference(splitRight,[status(thm)],[c_588046]) ).
tff(c_322992,plain,
! [U_6307] :
( ( app(U_6307,nil) = U_6307 )
| ~ ssList(U_6307) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_323011,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_400,c_322992]) ).
tff(c_590716,plain,
! [W_10135,U_10136,V_10137] :
( ( W_10135 = U_10136 )
| ( app(V_10137,W_10135) != app(V_10137,U_10136) )
| ~ ssList(W_10135)
| ~ ssList(V_10137)
| ~ ssList(U_10136) ),
inference(cnfTransformation,[status(thm)],[f_827]) ).
tff(c_590922,plain,
! [U_10136] :
( ( nil = U_10136 )
| ( app('#skF_50',U_10136) != '#skF_50' )
| ~ ssList(nil)
| ~ ssList('#skF_50')
| ~ ssList(U_10136) ),
inference(superposition,[status(thm),theory(equality)],[c_323011,c_590716]) ).
tff(c_593348,plain,
! [U_10165] :
( ( nil = U_10165 )
| ( app('#skF_50',U_10165) != '#skF_50' )
| ~ ssList(U_10165) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_168,c_590922]) ).
tff(c_593366,plain,
( ( cons('#skF_52',nil) = nil )
| ( app('#skF_50',cons('#skF_52',nil)) != '#skF_50' ) ),
inference(resolution,[status(thm)],[c_587916,c_593348]) ).
tff(c_593487,plain,
app('#skF_50',cons('#skF_52',nil)) != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_588855,c_593366]) ).
tff(c_587915,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(splitRight,[status(thm)],[c_587898]) ).
tff(c_323669,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_323554]) ).
tff(c_420123,plain,
tl('#skF_53') = '#skF_47'('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_419624,c_323669]) ).
tff(c_420127,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_420123,c_188]) ).
tff(c_420131,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_420127]) ).
tff(c_420132,plain,
ssList('#skF_47'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_419624,c_420131]) ).
tff(c_420162,plain,
( ( tl('#skF_47'('#skF_53')) = '#skF_47'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = nil ) ),
inference(resolution,[status(thm)],[c_420132,c_334]) ).
tff(c_585901,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_420162]) ).
tff(c_420884,plain,
! [U_7772] :
( ( cons(hd(U_7772),tl(U_7772)) = U_7772 )
| ( nil = U_7772 )
| ~ ssList(U_7772) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_420927,plain,
( ( cons(hd('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_420123,c_420884]) ).
tff(c_420954,plain,
( ( cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_419623,c_420927]) ).
tff(c_420955,plain,
cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_419624,c_420954]) ).
tff(c_585916,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_585901,c_420955]) ).
tff(c_587917,plain,
cons('#skF_56',nil) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_587915,c_585916]) ).
tff(c_587921,plain,
'#skF_53' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_8207,c_587917]) ).
tff(c_587680,plain,
ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitRight,[status(thm)],[c_587523]) ).
tff(c_587935,plain,
ssList(app('#skF_50',cons('#skF_52',nil))),
inference(demodulation,[status(thm),theory(equality)],[c_587921,c_587680]) ).
tff(c_587948,plain,
app(app('#skF_50',cons('#skF_52',nil)),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_587921,c_433]) ).
tff(c_589769,plain,
! [V_10129,W_10130] :
( frontsegP(app(V_10129,W_10130),V_10129)
| ~ ssList(W_10130)
| ~ ssList(V_10129)
| ~ ssList(app(V_10129,W_10130)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_589804,plain,
( frontsegP('#skF_50',app('#skF_50',cons('#skF_52',nil)))
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_50',cons('#skF_52',nil)))
| ~ ssList(app(app('#skF_50',cons('#skF_52',nil)),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_587948,c_589769]) ).
tff(c_589952,plain,
frontsegP('#skF_50',app('#skF_50',cons('#skF_52',nil))),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_587948,c_587935,c_388,c_589804]) ).
tff(c_588051,plain,
app(nil,cons('#skF_52',nil)) = cons('#skF_52',nil),
inference(resolution,[status(thm)],[c_587916,c_196]) ).
tff(c_589798,plain,
( frontsegP(cons('#skF_52',nil),nil)
| ~ ssList(cons('#skF_52',nil))
| ~ ssList(nil)
| ~ ssList(app(nil,cons('#skF_52',nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_588051,c_589769]) ).
tff(c_589948,plain,
frontsegP(cons('#skF_52',nil),nil),
inference(demodulation,[status(thm),theory(equality)],[c_587916,c_588051,c_168,c_587916,c_589798]) ).
tff(c_587970,plain,
! [V_10107,U_10108] :
( ( app(cons(V_10107,nil),U_10108) = cons(V_10107,U_10108) )
| ~ ssItem(V_10107)
| ~ ssList(U_10108) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_587998,plain,
! [U_10108] :
( ( cons('#skF_56',U_10108) = app('#skF_50',U_10108) )
| ~ ssItem('#skF_56')
| ~ ssList(U_10108) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_587970]) ).
tff(c_588148,plain,
! [U_10109] :
( ( cons('#skF_56',U_10109) = app('#skF_50',U_10109) )
| ~ ssList(U_10109) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_587998]) ).
tff(c_588261,plain,
cons('#skF_56',cons('#skF_52',nil)) = app('#skF_50',cons('#skF_52',nil)),
inference(resolution,[status(thm)],[c_587916,c_588148]) ).
tff(c_597004,plain,
! [V_10246,W_10247,X_10248] :
( frontsegP(cons(V_10246,W_10247),cons(V_10246,X_10248))
| ~ frontsegP(W_10247,X_10248)
| ~ ssList(X_10248)
| ~ ssList(W_10247)
| ~ ssItem(V_10246) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_597080,plain,
! [W_10247] :
( frontsegP(cons('#skF_56',W_10247),'#skF_50')
| ~ frontsegP(W_10247,nil)
| ~ ssList(nil)
| ~ ssList(W_10247)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_597004]) ).
tff(c_598424,plain,
! [W_10259] :
( frontsegP(cons('#skF_56',W_10259),'#skF_50')
| ~ frontsegP(W_10259,nil)
| ~ ssList(W_10259) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_597080]) ).
tff(c_598435,plain,
( frontsegP(app('#skF_50',cons('#skF_52',nil)),'#skF_50')
| ~ frontsegP(cons('#skF_52',nil),nil)
| ~ ssList(cons('#skF_52',nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_588261,c_598424]) ).
tff(c_598457,plain,
frontsegP(app('#skF_50',cons('#skF_52',nil)),'#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_587916,c_589948,c_598435]) ).
tff(c_598654,plain,
( ( app('#skF_50',cons('#skF_52',nil)) = '#skF_50' )
| ~ frontsegP('#skF_50',app('#skF_50',cons('#skF_52',nil)))
| ~ ssList(app('#skF_50',cons('#skF_52',nil)))
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_598457,c_234]) ).
tff(c_598660,plain,
app('#skF_50',cons('#skF_52',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_587935,c_589952,c_598654]) ).
tff(c_598662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_593487,c_598660]) ).
tff(c_598663,plain,
app('#skF_53',cons('#skF_52',nil)) = nil,
inference(splitRight,[status(thm)],[c_587679]) ).
tff(c_598673,plain,
( ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_598663,c_352]) ).
tff(c_598686,plain,
( ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_598673]) ).
tff(c_598687,plain,
~ ssList(cons('#skF_52',nil)),
inference(negUnitSimplification,[status(thm)],[c_419624,c_598686]) ).
tff(c_598804,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_598687]) ).
tff(c_598808,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_598804]) ).
tff(c_598810,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_420162]) ).
tff(c_323009,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_168,c_322992]) ).
tff(c_577393,plain,
! [W_9936,V_9937] :
( rearsegP(app(W_9936,V_9937),V_9937)
| ~ ssList(W_9936)
| ~ ssList(V_9937)
| ~ ssList(app(W_9936,V_9937)) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_577608,plain,
( rearsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(app(nil,nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_323009,c_577393]) ).
tff(c_577748,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_323009,c_168,c_168,c_577608]) ).
tff(c_420621,plain,
! [V_7758,U_7759] :
( ( tl(cons(V_7758,U_7759)) = U_7759 )
| ~ ssItem(V_7758)
| ~ ssList(U_7759) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_420636,plain,
( ( tl('#skF_50') = nil )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_420621]) ).
tff(c_420642,plain,
'#skF_47'('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_323672,c_420636]) ).
tff(c_574983,plain,
! [U_9904,V_9905] :
( ( hd(app(U_9904,V_9905)) = hd(U_9904) )
| ( nil = U_9904 )
| ~ ssList(V_9905)
| ~ ssList(U_9904) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_575151,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = hd('#skF_50') )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_574983]) ).
tff(c_575335,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56' )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_420721,c_575151]) ).
tff(c_575390,plain,
~ ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitLeft,[status(thm)],[c_575335]) ).
tff(c_575393,plain,
( ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_575390]) ).
tff(c_575396,plain,
~ ssList(cons('#skF_52',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_575393]) ).
tff(c_575399,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_575396]) ).
tff(c_575403,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_575399]) ).
tff(c_575404,plain,
( ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ( hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56' ) ),
inference(splitRight,[status(thm)],[c_575335]) ).
tff(c_575552,plain,
hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56',
inference(splitLeft,[status(thm)],[c_575404]) ).
tff(c_575556,plain,
( ( hd('#skF_53') = '#skF_56' )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_575552,c_358]) ).
tff(c_575569,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_419623,c_575556]) ).
tff(c_575570,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(negUnitSimplification,[status(thm)],[c_419624,c_575569]) ).
tff(c_575579,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_575570]) ).
tff(c_575582,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_575579]) ).
tff(c_575586,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_575582]) ).
tff(c_575587,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(splitRight,[status(thm)],[c_575570]) ).
tff(c_575590,plain,
cons('#skF_56','#skF_47'('#skF_53')) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_575587,c_420955]) ).
tff(c_575620,plain,
! [V_9917,U_9918] :
( ( app(cons(V_9917,nil),U_9918) = cons(V_9917,U_9918) )
| ~ ssItem(V_9917)
| ~ ssList(U_9918) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_575648,plain,
! [U_9918] :
( ( cons('#skF_56',U_9918) = app('#skF_50',U_9918) )
| ~ ssItem('#skF_56')
| ~ ssList(U_9918) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_575620]) ).
tff(c_575736,plain,
! [U_9919] :
( ( cons('#skF_56',U_9919) = app('#skF_50',U_9919) )
| ~ ssList(U_9919) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_575648]) ).
tff(c_575769,plain,
cons('#skF_56','#skF_47'('#skF_53')) = app('#skF_50','#skF_47'('#skF_53')),
inference(resolution,[status(thm)],[c_420132,c_575736]) ).
tff(c_575871,plain,
app('#skF_50','#skF_47'('#skF_53')) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_575590,c_575769]) ).
tff(c_576980,plain,
! [V_9934,W_9935] :
( frontsegP(app(V_9934,W_9935),V_9934)
| ~ ssList(W_9935)
| ~ ssList(V_9934)
| ~ ssList(app(V_9934,W_9935)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_577012,plain,
( frontsegP('#skF_53','#skF_50')
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssList('#skF_50')
| ~ ssList(app('#skF_50','#skF_47'('#skF_53'))) ),
inference(superposition,[status(thm),theory(equality)],[c_575871,c_576980]) ).
tff(c_577215,plain,
frontsegP('#skF_53','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_575871,c_400,c_420132,c_577012]) ).
tff(c_578504,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53')
| ~ ssList('#skF_53')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_577215,c_234]) ).
tff(c_578507,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53') ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_390,c_578504]) ).
tff(c_579149,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(splitLeft,[status(thm)],[c_578507]) ).
tff(c_575588,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_575570]) ).
tff(c_584533,plain,
! [U_10018,V_10019,W_10020] :
( ( app(app(U_10018,V_10019),W_10020) = app(U_10018,app(V_10019,W_10020)) )
| ~ ssList(W_10020)
| ~ ssList(V_10019)
| ~ ssList(U_10018) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_584847,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_584533]) ).
tff(c_585040,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_575588,c_388,c_584847]) ).
tff(c_585231,plain,
( ( app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_346,c_585040]) ).
tff(c_585268,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_585231]) ).
tff(c_585298,plain,
( frontsegP('#skF_50','#skF_53')
| ~ ssList(cons('#skF_52','#skF_54'))
| ~ ssList('#skF_53')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_585268,c_26]) ).
tff(c_585332,plain,
( frontsegP('#skF_50','#skF_53')
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_585268,c_390,c_585298]) ).
tff(c_585333,plain,
~ ssList(cons('#skF_52','#skF_54')),
inference(negUnitSimplification,[status(thm)],[c_579149,c_585332]) ).
tff(c_585347,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(resolution,[status(thm)],[c_166,c_585333]) ).
tff(c_585351,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_585347]) ).
tff(c_585352,plain,
'#skF_53' = '#skF_50',
inference(splitRight,[status(thm)],[c_578507]) ).
tff(c_421344,plain,
! [U_7785] :
( cyclefreeP(U_7785)
| ~ ssItem('#skF_5'(U_7785))
| ~ singletonP(U_7785)
| ~ ssList(U_7785) ),
inference(superposition,[status(thm),theory(equality)],[c_420576,c_280]) ).
tff(c_421350,plain,
! [U_7786] :
( cyclefreeP(U_7786)
| ~ singletonP(U_7786)
| ~ ssList(U_7786) ),
inference(resolution,[status(thm)],[c_24,c_421344]) ).
tff(c_421477,plain,
( cyclefreeP('#skF_53')
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_390,c_421350]) ).
tff(c_572277,plain,
~ singletonP('#skF_53'),
inference(splitLeft,[status(thm)],[c_421477]) ).
tff(c_420106,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_419623,c_184]) ).
tff(c_420110,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_420106]) ).
tff(c_420111,plain,
ssItem('#skF_46'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_419624,c_420110]) ).
tff(c_420163,plain,
( ( hd('#skF_47'('#skF_53')) = '#skF_46'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = nil ) ),
inference(resolution,[status(thm)],[c_420132,c_330]) ).
tff(c_572438,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_420163]) ).
tff(c_572451,plain,
tl('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_572438,c_420123]) ).
tff(c_572468,plain,
( ( cons(hd('#skF_53'),nil) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_572451,c_340]) ).
tff(c_572475,plain,
( ( cons('#skF_46'('#skF_53'),nil) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_419623,c_572468]) ).
tff(c_572476,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_419624,c_572475]) ).
tff(c_572548,plain,
! [V_9821] :
( singletonP(cons(V_9821,nil))
| ~ ssItem(V_9821)
| ~ ssList(cons(V_9821,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_572551,plain,
( singletonP(cons('#skF_46'('#skF_53'),nil))
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_572476,c_572548]) ).
tff(c_572566,plain,
singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_420111,c_572476,c_572551]) ).
tff(c_572568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_572277,c_572566]) ).
tff(c_572570,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_420163]) ).
tff(c_420165,plain,
app('#skF_47'('#skF_53'),nil) = '#skF_47'('#skF_53'),
inference(resolution,[status(thm)],[c_420132,c_356]) ).
tff(c_577578,plain,
( rearsegP('#skF_47'('#skF_53'),nil)
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssList(nil)
| ~ ssList(app('#skF_47'('#skF_53'),nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_420165,c_577393]) ).
tff(c_577728,plain,
rearsegP('#skF_47'('#skF_53'),nil),
inference(demodulation,[status(thm),theory(equality)],[c_420132,c_420165,c_168,c_420132,c_577578]) ).
tff(c_254,plain,
! [V_993,U_991] :
( ( V_993 = U_991 )
| ~ rearsegP(V_993,U_991)
| ~ rearsegP(U_991,V_993)
| ~ ssList(V_993)
| ~ ssList(U_991) ),
inference(cnfTransformation,[status(thm)],[f_612]) ).
tff(c_578515,plain,
( ( '#skF_47'('#skF_53') = nil )
| ~ rearsegP(nil,'#skF_47'('#skF_53'))
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_577728,c_254]) ).
tff(c_578518,plain,
( ( '#skF_47'('#skF_53') = nil )
| ~ rearsegP(nil,'#skF_47'('#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_420132,c_578515]) ).
tff(c_578519,plain,
~ rearsegP(nil,'#skF_47'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_572570,c_578518]) ).
tff(c_585358,plain,
~ rearsegP(nil,'#skF_47'('#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_585352,c_578519]) ).
tff(c_585436,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_577748,c_420642,c_585358]) ).
tff(c_585437,plain,
app('#skF_53',cons('#skF_52',nil)) = nil,
inference(splitRight,[status(thm)],[c_575404]) ).
tff(c_585447,plain,
( ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_585437,c_352]) ).
tff(c_585460,plain,
( ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_585447]) ).
tff(c_585461,plain,
~ ssList(cons('#skF_52',nil)),
inference(negUnitSimplification,[status(thm)],[c_419624,c_585460]) ).
tff(c_585573,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_585461]) ).
tff(c_585577,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_585573]) ).
tff(c_585579,plain,
singletonP('#skF_53'),
inference(splitRight,[status(thm)],[c_421477]) ).
tff(c_420633,plain,
! [U_30] :
( ( tl(U_30) = nil )
| ~ ssItem('#skF_5'(U_30))
| ~ ssList(nil)
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_420621]) ).
tff(c_600091,plain,
! [U_10310] :
( ( tl(U_10310) = nil )
| ~ ssItem('#skF_5'(U_10310))
| ~ singletonP(U_10310)
| ~ ssList(U_10310) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_420633]) ).
tff(c_600096,plain,
! [U_10311] :
( ( tl(U_10311) = nil )
| ~ singletonP(U_10311)
| ~ ssList(U_10311) ),
inference(resolution,[status(thm)],[c_24,c_600091]) ).
tff(c_600198,plain,
( ( tl('#skF_53') = nil )
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_390,c_600096]) ).
tff(c_600245,plain,
'#skF_47'('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_585579,c_420123,c_600198]) ).
tff(c_600247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_598810,c_600245]) ).
tff(c_600249,plain,
lt('#skF_52','#skF_55'),
inference(splitRight,[status(thm)],[c_422]) ).
tff(c_424,plain,
( memberP('#skF_53','#skF_55')
| ~ lt('#skF_52','#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1044]) ).
tff(c_600253,plain,
memberP('#skF_53','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_600249,c_424]) ).
tff(c_600686,plain,
! [U_10374] :
( ( tl(U_10374) = '#skF_47'(U_10374) )
| ( nil = U_10374 )
| ~ ssList(U_10374) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_600801,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_600686]) ).
tff(c_601002,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_600801]) ).
tff(c_601136,plain,
! [U_10384] :
( ~ memberP('#skF_53',U_10384)
| ~ ssItem(U_10384) ),
inference(demodulation,[status(thm),theory(equality)],[c_601002,c_228]) ).
tff(c_601139,plain,
~ ssItem('#skF_55'),
inference(resolution,[status(thm)],[c_600253,c_601136]) ).
tff(c_601143,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_601139]) ).
tff(c_601145,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_600801]) ).
tff(c_600975,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_600852]) ).
tff(c_704836,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_601145,c_600975]) ).
tff(c_601144,plain,
tl('#skF_53') = '#skF_47'('#skF_53'),
inference(splitRight,[status(thm)],[c_600801]) ).
tff(c_601149,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_601144,c_188]) ).
tff(c_601153,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_601149]) ).
tff(c_601154,plain,
ssList('#skF_47'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_601145,c_601153]) ).
tff(c_601235,plain,
( ( hd('#skF_47'('#skF_53')) = '#skF_46'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = nil ) ),
inference(resolution,[status(thm)],[c_601154,c_330]) ).
tff(c_750347,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_601235]) ).
tff(c_750356,plain,
tl('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_750347,c_601144]) ).
tff(c_600770,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_400,c_600686]) ).
tff(c_600804,plain,
tl('#skF_50') = '#skF_47'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_8208,c_600770]) ).
tff(c_705272,plain,
! [V_12131,U_12132] :
( ( tl(cons(V_12131,U_12132)) = U_12132 )
| ~ ssItem(V_12131)
| ~ ssList(U_12132) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_705284,plain,
( ( tl('#skF_50') = nil )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_705272]) ).
tff(c_705288,plain,
'#skF_47'('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_600804,c_705284]) ).
tff(c_705293,plain,
tl('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_705288,c_600804]) ).
tff(c_772655,plain,
! [V_13101,U_13102] :
( ( V_13101 = U_13102 )
| ( tl(V_13101) != tl(U_13102) )
| ( hd(V_13101) != hd(U_13102) )
| ( nil = U_13102 )
| ( nil = V_13101 )
| ~ ssList(V_13101)
| ~ ssList(U_13102) ),
inference(cnfTransformation,[status(thm)],[f_796]) ).
tff(c_772703,plain,
! [V_13101] :
( ( V_13101 = '#skF_50' )
| ( tl(V_13101) != nil )
| ( hd(V_13101) != hd('#skF_50') )
| ( nil = '#skF_50' )
| ( nil = V_13101 )
| ~ ssList(V_13101)
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_705293,c_772655]) ).
tff(c_772762,plain,
! [V_13101] :
( ( V_13101 = '#skF_50' )
| ( tl(V_13101) != nil )
| ( hd(V_13101) != '#skF_56' )
| ( nil = '#skF_50' )
| ( nil = V_13101 )
| ~ ssList(V_13101) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_705250,c_772703]) ).
tff(c_772789,plain,
! [V_13103] :
( ( V_13103 = '#skF_50' )
| ( tl(V_13103) != nil )
| ( hd(V_13103) != '#skF_56' )
| ( nil = V_13103 )
| ~ ssList(V_13103) ),
inference(negUnitSimplification,[status(thm)],[c_8208,c_772762]) ).
tff(c_772921,plain,
( ( '#skF_53' = '#skF_50' )
| ( tl('#skF_53') != nil )
| ( hd('#skF_53') != '#skF_56' )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_390,c_772789]) ).
tff(c_772995,plain,
( ( '#skF_53' = '#skF_50' )
| ( '#skF_46'('#skF_53') != '#skF_56' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_704836,c_750356,c_772921]) ).
tff(c_772996,plain,
( ( '#skF_53' = '#skF_50' )
| ( '#skF_46'('#skF_53') != '#skF_56' ) ),
inference(negUnitSimplification,[status(thm)],[c_601145,c_772995]) ).
tff(c_773006,plain,
'#skF_46'('#skF_53') != '#skF_56',
inference(splitLeft,[status(thm)],[c_772996]) ).
tff(c_704840,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_704836,c_184]) ).
tff(c_704844,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_704840]) ).
tff(c_704845,plain,
ssItem('#skF_46'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_601145,c_704844]) ).
tff(c_750374,plain,
( ( cons(hd('#skF_53'),nil) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_750356,c_340]) ).
tff(c_750381,plain,
( ( cons('#skF_46'('#skF_53'),nil) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_704836,c_750374]) ).
tff(c_750382,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_601145,c_750381]) ).
tff(c_752616,plain,
! [U_12837] :
( ( cons('#skF_46'('#skF_53'),U_12837) = app('#skF_53',U_12837) )
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList(U_12837) ),
inference(superposition,[status(thm),theory(equality)],[c_750382,c_752600]) ).
tff(c_752629,plain,
! [U_12837] :
( ( cons('#skF_46'('#skF_53'),U_12837) = app('#skF_53',U_12837) )
| ~ ssList(U_12837) ),
inference(demodulation,[status(thm),theory(equality)],[c_704845,c_752616]) ).
tff(c_772206,plain,
! [V_13093,U_13094,W_13095,X_13096] :
( ( V_13093 = U_13094 )
| ~ frontsegP(cons(U_13094,W_13095),cons(V_13093,X_13096))
| ~ ssList(X_13096)
| ~ ssList(W_13095)
| ~ ssItem(V_13093)
| ~ ssItem(U_13094) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_772288,plain,
! [V_13093,X_13096] :
( ( V_13093 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_13093,X_13096))
| ~ ssList(X_13096)
| ~ ssList(nil)
| ~ ssItem(V_13093)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_772206]) ).
tff(c_783202,plain,
! [V_13194,X_13195] :
( ( V_13194 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_13194,X_13195))
| ~ ssList(X_13195)
| ~ ssItem(V_13194) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_772288]) ).
tff(c_783205,plain,
! [U_12837] :
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50',app('#skF_53',U_12837))
| ~ ssList(U_12837)
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList(U_12837) ),
inference(superposition,[status(thm),theory(equality)],[c_752629,c_783202]) ).
tff(c_783264,plain,
! [U_12837] :
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50',app('#skF_53',U_12837))
| ~ ssList(U_12837) ),
inference(demodulation,[status(thm),theory(equality)],[c_704845,c_783205]) ).
tff(c_783568,plain,
! [U_13203] :
( ~ frontsegP('#skF_50',app('#skF_53',U_13203))
| ~ ssList(U_13203) ),
inference(negUnitSimplification,[status(thm)],[c_773006,c_783264]) ).
tff(c_783571,plain,
~ ssList(cons('#skF_52',nil)),
inference(resolution,[status(thm)],[c_755816,c_783568]) ).
tff(c_783582,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_778713,c_783571]) ).
tff(c_783583,plain,
'#skF_53' = '#skF_50',
inference(splitRight,[status(thm)],[c_772996]) ).
tff(c_783674,plain,
app(app('#skF_50',cons('#skF_52',nil)),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_783583,c_433]) ).
tff(c_784439,plain,
! [W_13212,V_13213,X_13214] :
( segmentP(app(app(W_13212,V_13213),X_13214),V_13213)
| ~ ssList(X_13214)
| ~ ssList(W_13212)
| ~ ssList(V_13213)
| ~ ssList(app(app(W_13212,V_13213),X_13214)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_784449,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList('#skF_54')
| ~ ssList('#skF_50')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList(app(app('#skF_50',cons('#skF_52',nil)),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_783674,c_784439]) ).
tff(c_784666,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_783674,c_400,c_388,c_784449]) ).
tff(c_794107,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_784666]) ).
tff(c_794110,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_794107]) ).
tff(c_794114,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_794110]) ).
tff(c_794116,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_784666]) ).
tff(c_771001,plain,
! [U_13083,V_13084,W_13085] :
( ( app(app(U_13083,V_13084),W_13085) = app(U_13083,app(V_13084,W_13085)) )
| ~ ssList(W_13085)
| ~ ssList(V_13084)
| ~ ssList(U_13083) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_771128,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_771001,c_433]) ).
tff(c_771404,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_771128]) ).
tff(c_795483,plain,
app('#skF_50',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_794116,c_783583,c_771404]) ).
tff(c_795542,plain,
( ( app('#skF_50',cons('#skF_52','#skF_54')) = '#skF_50' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_346,c_795483]) ).
tff(c_795587,plain,
app('#skF_50',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_388,c_392,c_795542]) ).
tff(c_795609,plain,
( memberP('#skF_50','#skF_52')
| ~ ssList('#skF_54')
| ~ ssList('#skF_50')
| ~ ssItem('#skF_52')
| ~ ssList(app('#skF_50',cons('#skF_52','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_795587,c_12]) ).
tff(c_795679,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_795587,c_392,c_400,c_388,c_795609]) ).
tff(c_769806,plain,
! [W_13062,U_13063,V_13064] :
( memberP(W_13062,U_13063)
| ( V_13064 = U_13063 )
| ~ memberP(cons(V_13064,W_13062),U_13063)
| ~ ssList(W_13062)
| ~ ssItem(V_13064)
| ~ ssItem(U_13063) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_769857,plain,
! [U_13063] :
( memberP(nil,U_13063)
| ( U_13063 = '#skF_56' )
| ~ memberP('#skF_50',U_13063)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_13063) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_769806]) ).
tff(c_771595,plain,
! [U_13088] :
( memberP(nil,U_13088)
| ( U_13088 = '#skF_56' )
| ~ memberP('#skF_50',U_13088)
| ~ ssItem(U_13088) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_769857]) ).
tff(c_771599,plain,
! [U_13088] :
( ( U_13088 = '#skF_56' )
| ~ memberP('#skF_50',U_13088)
| ~ ssItem(U_13088) ),
inference(resolution,[status(thm)],[c_771595,c_228]) ).
tff(c_795724,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_795679,c_771599]) ).
tff(c_795727,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_795724]) ).
tff(c_795729,plain,
app('#skF_50',cons('#skF_56','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_795727,c_795587]) ).
tff(c_795790,plain,
app('#skF_50',app('#skF_50','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_752786,c_795729]) ).
tff(c_795792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768243,c_795790]) ).
tff(c_795794,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_601235]) ).
tff(c_600353,plain,
! [U_10327] :
( ( app(nil,U_10327) = U_10327 )
| ~ ssList(U_10327) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_600373,plain,
app(nil,'#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_400,c_600353]) ).
tff(c_709438,plain,
! [U_12261] :
( ( cons(hd(U_12261),tl(U_12261)) = U_12261 )
| ( nil = U_12261 )
| ~ ssList(U_12261) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_709499,plain,
( ( cons(hd('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_601144,c_709438]) ).
tff(c_709538,plain,
( ( cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_704836,c_709499]) ).
tff(c_709539,plain,
cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_601145,c_709538]) ).
tff(c_730311,plain,
! [X_12542,W_12543,V_12544,U_12545] :
( ( X_12542 = W_12543 )
| ( cons(X_12542,V_12544) != cons(W_12543,U_12545) )
| ~ ssItem(X_12542)
| ~ ssItem(W_12543)
| ~ ssList(V_12544)
| ~ ssList(U_12545) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_730371,plain,
! [X_12542,V_12544] :
( ( X_12542 = '#skF_56' )
| ( cons(X_12542,V_12544) != '#skF_50' )
| ~ ssItem(X_12542)
| ~ ssItem('#skF_56')
| ~ ssList(V_12544)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_730311]) ).
tff(c_732472,plain,
! [X_12584,V_12585] :
( ( X_12584 = '#skF_56' )
| ( cons(X_12584,V_12585) != '#skF_50' )
| ~ ssItem(X_12584)
| ~ ssList(V_12585) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_7738,c_730371]) ).
tff(c_732494,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( '#skF_53' != '#skF_50' )
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList('#skF_47'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_709539,c_732472]) ).
tff(c_732522,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( '#skF_53' != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_601154,c_704845,c_732494]) ).
tff(c_732533,plain,
'#skF_53' != '#skF_50',
inference(splitLeft,[status(thm)],[c_732522]) ).
tff(c_732010,plain,
! [V_12567,U_12568,W_12569,X_12570] :
( ( V_12567 = U_12568 )
| ~ frontsegP(cons(U_12568,W_12569),cons(V_12567,X_12570))
| ~ ssList(X_12570)
| ~ ssList(W_12569)
| ~ ssItem(V_12567)
| ~ ssItem(U_12568) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_732113,plain,
! [U_12568,W_12569] :
( ( U_12568 = '#skF_56' )
| ~ frontsegP(cons(U_12568,W_12569),'#skF_50')
| ~ ssList(nil)
| ~ ssList(W_12569)
| ~ ssItem('#skF_56')
| ~ ssItem(U_12568) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_732010]) ).
tff(c_741782,plain,
! [U_12681,W_12682] :
( ( U_12681 = '#skF_56' )
| ~ frontsegP(cons(U_12681,W_12682),'#skF_50')
| ~ ssList(W_12682)
| ~ ssItem(U_12681) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_732113]) ).
tff(c_741821,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_53','#skF_50')
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssItem('#skF_46'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_709539,c_741782]) ).
tff(c_741864,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_53','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_704845,c_601154,c_741821]) ).
tff(c_741879,plain,
~ frontsegP('#skF_53','#skF_50'),
inference(splitLeft,[status(thm)],[c_741864]) ).
tff(c_601237,plain,
app(nil,'#skF_47'('#skF_53')) = '#skF_47'('#skF_53'),
inference(resolution,[status(thm)],[c_601154,c_196]) ).
tff(c_714518,plain,
! [V_12365,W_12366] :
( frontsegP(app(V_12365,W_12366),V_12365)
| ~ ssList(W_12366)
| ~ ssList(V_12365)
| ~ ssList(app(V_12365,W_12366)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_714688,plain,
( frontsegP('#skF_47'('#skF_53'),nil)
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssList(nil)
| ~ ssList(app(nil,'#skF_47'('#skF_53'))) ),
inference(superposition,[status(thm),theory(equality)],[c_601237,c_714518]) ).
tff(c_714831,plain,
frontsegP('#skF_47'('#skF_53'),nil),
inference(demodulation,[status(thm),theory(equality)],[c_601154,c_601237,c_168,c_601154,c_714688]) ).
tff(c_732110,plain,
! [V_12567,X_12570] :
( ( V_12567 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_12567,X_12570))
| ~ ssList(X_12570)
| ~ ssList(nil)
| ~ ssItem(V_12567)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_732010]) ).
tff(c_742181,plain,
! [V_12684,X_12685] :
( ( V_12684 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_12684,X_12685))
| ~ ssList(X_12685)
| ~ ssItem(V_12684) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_732110]) ).
tff(c_742220,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50','#skF_53')
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssItem('#skF_46'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_709539,c_742181]) ).
tff(c_742257,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50','#skF_53') ),
inference(demodulation,[status(thm),theory(equality)],[c_704845,c_601154,c_742220]) ).
tff(c_742266,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(splitLeft,[status(thm)],[c_742257]) ).
tff(c_712888,plain,
! [U_12351,V_12352] :
( ( hd(app(U_12351,V_12352)) = hd(U_12351) )
| ( nil = U_12351 )
| ~ ssList(V_12352)
| ~ ssList(U_12351) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_713089,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = hd('#skF_50') )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_712888]) ).
tff(c_713303,plain,
( ( hd(app('#skF_53',cons('#skF_52',nil))) = '#skF_56' )
| ( app('#skF_53',cons('#skF_52',nil)) = nil )
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_705250,c_713089]) ).
tff(c_713738,plain,
~ ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitLeft,[status(thm)],[c_713303]) ).
tff(c_713741,plain,
( ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_713738]) ).
tff(c_713744,plain,
~ ssList(cons('#skF_52',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_713741]) ).
tff(c_713747,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_713744]) ).
tff(c_713751,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_713747]) ).
tff(c_713753,plain,
ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitRight,[status(thm)],[c_713303]) ).
tff(c_725205,plain,
! [V_12481,U_12482,W_12483] :
( ~ memberP(V_12481,U_12482)
| memberP(app(V_12481,W_12483),U_12482)
| ~ ssList(W_12483)
| ~ ssList(V_12481)
| ~ ssItem(U_12482) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_725385,plain,
! [U_12482] :
( ~ memberP(app('#skF_53',cons('#skF_52',nil)),U_12482)
| memberP('#skF_50',U_12482)
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil)))
| ~ ssItem(U_12482) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_725205]) ).
tff(c_744205,plain,
! [U_12696] :
( ~ memberP(app('#skF_53',cons('#skF_52',nil)),U_12696)
| memberP('#skF_50',U_12696)
| ~ ssItem(U_12696) ),
inference(demodulation,[status(thm),theory(equality)],[c_713753,c_388,c_725385]) ).
tff(c_744213,plain,
( memberP('#skF_50','#skF_52')
| ~ ssList(nil)
| ~ ssList('#skF_53')
| ~ ssItem('#skF_52')
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(resolution,[status(thm)],[c_12,c_744205]) ).
tff(c_744227,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_713753,c_392,c_390,c_168,c_744213]) ).
tff(c_731240,plain,
! [W_12558,U_12559,V_12560] :
( memberP(W_12558,U_12559)
| ( V_12560 = U_12559 )
| ~ memberP(cons(V_12560,W_12558),U_12559)
| ~ ssList(W_12558)
| ~ ssItem(V_12560)
| ~ ssItem(U_12559) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_731291,plain,
! [U_12559] :
( memberP(nil,U_12559)
| ( U_12559 = '#skF_56' )
| ~ memberP('#skF_50',U_12559)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_12559) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_731240]) ).
tff(c_735571,plain,
! [U_12618] :
( memberP(nil,U_12618)
| ( U_12618 = '#skF_56' )
| ~ memberP('#skF_50',U_12618)
| ~ ssItem(U_12618) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_731291]) ).
tff(c_735575,plain,
! [U_12618] :
( ( U_12618 = '#skF_56' )
| ~ memberP('#skF_50',U_12618)
| ~ ssItem(U_12618) ),
inference(resolution,[status(thm)],[c_735571,c_228]) ).
tff(c_744236,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_744227,c_735575]) ).
tff(c_744239,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_744236]) ).
tff(c_729592,plain,
! [U_12535,V_12536,W_12537] :
( ( app(app(U_12535,V_12536),W_12537) = app(U_12535,app(V_12536,W_12537)) )
| ~ ssList(W_12537)
| ~ ssList(V_12536)
| ~ ssList(U_12535) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_729725,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_729592,c_433]) ).
tff(c_730004,plain,
( ( app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50' )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_729725]) ).
tff(c_744848,plain,
app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_8207,c_744239,c_8207,c_744239,c_730004]) ).
tff(c_712192,plain,
! [V_12344,U_12345] :
( ( app(cons(V_12344,nil),U_12345) = cons(V_12344,U_12345) )
| ~ ssItem(V_12344)
| ~ ssList(U_12345) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_712214,plain,
! [U_12345] :
( ( cons('#skF_56',U_12345) = app('#skF_50',U_12345) )
| ~ ssItem('#skF_56')
| ~ ssList(U_12345) ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_712192]) ).
tff(c_712221,plain,
! [U_12346] :
( ( cons('#skF_56',U_12346) = app('#skF_50',U_12346) )
| ~ ssList(U_12346) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_712214]) ).
tff(c_712385,plain,
cons('#skF_56','#skF_54') = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_388,c_712221]) ).
tff(c_712407,plain,
( ssList(app('#skF_50','#skF_54'))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_712385,c_166]) ).
tff(c_712421,plain,
ssList(app('#skF_50','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_7738,c_712407]) ).
tff(c_744891,plain,
( frontsegP('#skF_50','#skF_53')
| ~ ssList(app('#skF_50','#skF_54'))
| ~ ssList('#skF_53')
| ~ ssList(app('#skF_53',app('#skF_50','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_744848,c_26]) ).
tff(c_744936,plain,
frontsegP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_744848,c_390,c_712421,c_744891]) ).
tff(c_744938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_742266,c_744936]) ).
tff(c_744939,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(splitRight,[status(thm)],[c_742257]) ).
tff(c_744942,plain,
cons('#skF_56','#skF_47'('#skF_53')) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_744939,c_709539]) ).
tff(c_731091,plain,
! [V_12555,W_12556,X_12557] :
( frontsegP(cons(V_12555,W_12556),cons(V_12555,X_12557))
| ~ frontsegP(W_12556,X_12557)
| ~ ssList(X_12557)
| ~ ssList(W_12556)
| ~ ssItem(V_12555) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_731185,plain,
! [W_12556] :
( frontsegP(cons('#skF_56',W_12556),'#skF_50')
| ~ frontsegP(W_12556,nil)
| ~ ssList(nil)
| ~ ssList(W_12556)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_8207,c_731091]) ).
tff(c_731239,plain,
! [W_12556] :
( frontsegP(cons('#skF_56',W_12556),'#skF_50')
| ~ frontsegP(W_12556,nil)
| ~ ssList(W_12556) ),
inference(demodulation,[status(thm),theory(equality)],[c_7738,c_168,c_731185]) ).
tff(c_745225,plain,
( frontsegP('#skF_53','#skF_50')
| ~ frontsegP('#skF_47'('#skF_53'),nil)
| ~ ssList('#skF_47'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_744942,c_731239]) ).
tff(c_745322,plain,
frontsegP('#skF_53','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_601154,c_714831,c_745225]) ).
tff(c_745324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_741879,c_745322]) ).
tff(c_745326,plain,
frontsegP('#skF_53','#skF_50'),
inference(splitRight,[status(thm)],[c_741864]) ).
tff(c_745430,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53')
| ~ ssList('#skF_53')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_745326,c_234]) ).
tff(c_745436,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53') ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_390,c_745430]) ).
tff(c_745437,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_732533,c_745436]) ).
tff(c_736050,plain,
! [W_12623,V_12624,X_12625] :
( segmentP(app(app(W_12623,V_12624),X_12625),V_12624)
| ~ ssList(X_12625)
| ~ ssList(W_12623)
| ~ ssList(V_12624)
| ~ ssList(app(app(W_12623,V_12624),X_12625)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_736322,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList('#skF_54')
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList(app(app('#skF_53',cons('#skF_52',nil)),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_736050]) ).
tff(c_736487,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_433,c_390,c_388,c_736322]) ).
tff(c_736539,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_736487]) ).
tff(c_736542,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_736539]) ).
tff(c_736546,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_392,c_736542]) ).
tff(c_736548,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_736487]) ).
tff(c_723933,plain,
! [U_12468,W_12469,V_12470] :
( frontsegP(app(U_12468,W_12469),V_12470)
| ~ frontsegP(U_12468,V_12470)
| ~ ssList(W_12469)
| ~ ssList(V_12470)
| ~ ssList(U_12468) ),
inference(cnfTransformation,[status(thm)],[f_560]) ).
tff(c_724115,plain,
! [V_12470] :
( frontsegP('#skF_50',V_12470)
| ~ frontsegP(app('#skF_53',cons('#skF_52',nil)),V_12470)
| ~ ssList('#skF_54')
| ~ ssList(V_12470)
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_433,c_723933]) ).
tff(c_748415,plain,
! [V_12723] :
( frontsegP('#skF_50',V_12723)
| ~ frontsegP(app('#skF_53',cons('#skF_52',nil)),V_12723)
| ~ ssList(V_12723) ),
inference(demodulation,[status(thm),theory(equality)],[c_713753,c_388,c_724115]) ).
tff(c_748423,plain,
( frontsegP('#skF_50','#skF_53')
| ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53')
| ~ ssList(app('#skF_53',cons('#skF_52',nil))) ),
inference(resolution,[status(thm)],[c_26,c_748415]) ).
tff(c_748437,plain,
frontsegP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_713753,c_390,c_736548,c_748423]) ).
tff(c_748439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_745437,c_748437]) ).
tff(c_748441,plain,
'#skF_53' = '#skF_50',
inference(splitRight,[status(thm)],[c_732522]) ).
tff(c_705352,plain,
! [U_12140] :
( ( cons('#skF_5'(U_12140),nil) = U_12140 )
| ~ singletonP(U_12140)
| ~ ssList(U_12140) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_705595,plain,
! [U_12157] :
( cyclefreeP(U_12157)
| ~ ssItem('#skF_5'(U_12157))
| ~ singletonP(U_12157)
| ~ ssList(U_12157) ),
inference(superposition,[status(thm),theory(equality)],[c_705352,c_280]) ).
tff(c_705600,plain,
! [U_12158] :
( cyclefreeP(U_12158)
| ~ singletonP(U_12158)
| ~ ssList(U_12158) ),
inference(resolution,[status(thm)],[c_24,c_705595]) ).
tff(c_705727,plain,
( cyclefreeP('#skF_53')
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_390,c_705600]) ).
tff(c_705732,plain,
~ singletonP('#skF_53'),
inference(splitLeft,[status(thm)],[c_705727]) ).
tff(c_601236,plain,
( ( tl('#skF_47'('#skF_53')) = '#skF_47'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = nil ) ),
inference(resolution,[status(thm)],[c_601154,c_334]) ).
tff(c_708135,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_601236]) ).
tff(c_708141,plain,
tl('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_708135,c_601144]) ).
tff(c_708789,plain,
! [U_12247] :
( ( cons(hd(U_12247),tl(U_12247)) = U_12247 )
| ( nil = U_12247 )
| ~ ssList(U_12247) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_708838,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_704836,c_708789]) ).
tff(c_708871,plain,
( ( cons('#skF_46'('#skF_53'),nil) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_708141,c_708838]) ).
tff(c_708872,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_601145,c_708871]) ).
tff(c_708762,plain,
! [V_12245] :
( singletonP(cons(V_12245,nil))
| ~ ssItem(V_12245)
| ~ ssList(cons(V_12245,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_708769,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_708762]) ).
tff(c_708775,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_708769]) ).
tff(c_708885,plain,
( singletonP('#skF_53')
| ~ ssItem('#skF_46'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_708872,c_708775]) ).
tff(c_708926,plain,
singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_704845,c_708885]) ).
tff(c_708928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_705732,c_708926]) ).
tff(c_708930,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_601236]) ).
tff(c_600372,plain,
app(nil,'#skF_53') = '#skF_53',
inference(resolution,[status(thm)],[c_390,c_600353]) ).
tff(c_725571,plain,
! [W_12485,U_12486,V_12487] :
( ( W_12485 = U_12486 )
| ( app(W_12485,V_12487) != app(U_12486,V_12487) )
| ~ ssList(W_12485)
| ~ ssList(V_12487)
| ~ ssList(U_12486) ),
inference(cnfTransformation,[status(thm)],[f_815]) ).
tff(c_725819,plain,
! [W_12485] :
( ( nil = W_12485 )
| ( app(W_12485,'#skF_53') != '#skF_53' )
| ~ ssList(W_12485)
| ~ ssList('#skF_53')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_600372,c_725571]) ).
tff(c_731370,plain,
! [W_12563] :
( ( nil = W_12563 )
| ( app(W_12563,'#skF_53') != '#skF_53' )
| ~ ssList(W_12563) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_390,c_725819]) ).
tff(c_731427,plain,
( ( '#skF_47'('#skF_53') = nil )
| ( app('#skF_47'('#skF_53'),'#skF_53') != '#skF_53' ) ),
inference(resolution,[status(thm)],[c_601154,c_731370]) ).
tff(c_731556,plain,
app('#skF_47'('#skF_53'),'#skF_53') != '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_708930,c_731427]) ).
tff(c_748456,plain,
app('#skF_47'('#skF_50'),'#skF_50') != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_748441,c_748441,c_748441,c_731556]) ).
tff(c_748609,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_600373,c_705288,c_748456]) ).
tff(c_748611,plain,
singletonP('#skF_53'),
inference(splitRight,[status(thm)],[c_705727]) ).
tff(c_705361,plain,
! [U_12140] :
( ( tl(U_12140) = nil )
| ~ ssItem('#skF_5'(U_12140))
| ~ ssList(nil)
| ~ singletonP(U_12140)
| ~ ssList(U_12140) ),
inference(superposition,[status(thm),theory(equality)],[c_705352,c_190]) ).
tff(c_798071,plain,
! [U_13412] :
( ( tl(U_13412) = nil )
| ~ ssItem('#skF_5'(U_13412))
| ~ singletonP(U_13412)
| ~ ssList(U_13412) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_705361]) ).
tff(c_798076,plain,
! [U_13413] :
( ( tl(U_13413) = nil )
| ~ singletonP(U_13413)
| ~ ssList(U_13413) ),
inference(resolution,[status(thm)],[c_24,c_798071]) ).
tff(c_798193,plain,
( ( tl('#skF_53') = nil )
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_390,c_798076]) ).
tff(c_798248,plain,
'#skF_47'('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_748611,c_601144,c_798193]) ).
tff(c_798250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_795794,c_798248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC295+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 21:34:42 EDT 2023
% 0.14/0.37 % CPUTime :
% 197.73/176.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 198.08/176.56
% 198.08/176.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 198.50/176.66
% 198.50/176.66 Inference rules
% 198.50/176.66 ----------------------
% 198.50/176.66 #Ref : 188
% 198.50/176.66 #Sup : 173923
% 198.50/176.66 #Fact : 0
% 198.50/176.66 #Define : 0
% 198.50/176.66 #Split : 1156
% 198.50/176.66 #Chain : 0
% 198.50/176.66 #Close : 0
% 198.50/176.66
% 198.50/176.66 Ordering : KBO
% 198.50/176.66
% 198.50/176.66 Simplification rules
% 198.50/176.66 ----------------------
% 198.50/176.66 #Subsume : 21647
% 198.50/176.66 #Demod : 168669
% 198.50/176.66 #Tautology : 40994
% 198.50/176.66 #SimpNegUnit : 18515
% 198.50/176.66 #BackRed : 4217
% 198.50/176.66
% 198.50/176.66 #Partial instantiations: 0
% 198.50/176.66 #Strategies tried : 1
% 198.50/176.66
% 198.50/176.66 Timing (in seconds)
% 198.50/176.66 ----------------------
% 198.50/176.67 Preprocessing : 0.93
% 198.50/176.67 Parsing : 0.44
% 198.50/176.67 CNF conversion : 0.10
% 198.50/176.67 Main loop : 174.39
% 198.50/176.67 Inferencing : 28.44
% 198.50/176.67 Reduction : 88.85
% 198.50/176.67 Demodulation : 68.07
% 198.50/176.67 BG Simplification : 0.90
% 198.50/176.67 Subsumption : 44.63
% 198.50/176.67 Abstraction : 1.84
% 198.50/176.67 MUC search : 0.00
% 198.50/176.67 Cooper : 0.00
% 198.50/176.67 Total : 175.60
% 198.50/176.67 Index Insertion : 0.00
% 198.50/176.67 Index Deletion : 0.00
% 198.50/176.67 Index Matching : 0.00
% 198.50/176.67 BG Taut test : 0.00
%------------------------------------------------------------------------------