TSTP Solution File: SWC284+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC284+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:01:56 EDT 2023
% Result : Theorem 105.52s 87.63s
% Output : CNFRefutation 105.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 123
% Syntax : Number of formulae : 988 ( 374 unt; 80 typ; 0 def)
% Number of atoms : 2149 ( 664 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 2362 (1121 ~;1111 |; 21 &)
% ( 14 <=>; 95 =>; 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 : 477 (; 468 !; 9 ?; 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_1038,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)
| leq(X2,Y) )
& ( ~ memberP(X1,X2)
| leq(Y,X2) ) ) ) ) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [X3] :
( ~ ssItem(X3)
| ( cons(X3,nil) != W )
| ~ memberP(X,X3) )
& neq(X,nil) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_318,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ssList(cons(V,U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
tff(f_399,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
tff(f_311,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( neq(U,V)
<=> ( U != V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
tff(f_834,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) = app(cons(V,nil),U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
tff(f_364,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( nil != cons(V,U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
tff(f_779,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssList(V)
& ( tl(U) = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax76) ).
tff(f_392,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( tl(cons(V,U)) = U ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
tff(f_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_135,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( segmentP(U,V)
<=> ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& ( app(app(W,V),X) = U ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
tff(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/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
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/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
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/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
tff(f_517,axiom,
! [U] :
( ssItem(U)
=> ~ memberP(nil,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
tff(f_663,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( segmentP(U,V)
& segmentP(V,U) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax54) ).
tff(f_442,axiom,
! [U] :
( ssItem(U)
=> leq(U,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax31) ).
tff(f_769,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssItem(V)
& ( hd(U) = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).
tff(f_378,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( hd(cons(V,U)) = V ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
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/sandbox/benchmark/Axioms/SWC001+0.ax',ax67) ).
tff(f_711,axiom,
! [U] :
( ssItem(U)
=> totalorderedP(cons(U,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax65) ).
tff(f_869,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil != U )
=> ( hd(app(U,V)) = hd(U) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).
tff(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/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).
tff(f_96,axiom,
! [U] :
( ssList(U)
=> ( singletonP(U)
<=> ? [V] :
( ssItem(V)
& ( cons(V,nil) = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
tff(f_451,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( geq(U,V)
<=> leq(V,U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax32) ).
tff(f_859,axiom,
! [U] :
( ssList(U)
=> ( app(U,nil) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
tff(f_758,axiom,
! [U] :
( ssItem(U)
=> equalelemsP(cons(U,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax73) ).
tff(f_327,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) != U ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
tff(f_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
tff(f_803,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ( cons(hd(U),tl(U)) = U ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
tff(f_120,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( rearsegP(U,V)
<=> ? [W] :
( ssList(W)
& ( app(W,V) = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).
tff(f_108,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( frontsegP(U,V)
<=> ? [W] :
( ssList(W)
& ( app(V,W) = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
tff(f_544,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( frontsegP(U,V)
& frontsegP(V,U) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax41) ).
tff(f_696,axiom,
! [U] :
( ssItem(U)
=> cyclefreeP(cons(U,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax59) ).
tff(f_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
tff(f_612,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( rearsegP(U,V)
& rearsegP(V,U) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax48) ).
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/sandbox/benchmark/Axioms/SWC001+0.ax',ax19) ).
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/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).
tff(f_827,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( ( app(V,W) = app(V,U) )
=> ( W = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).
tff(f_950,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( lt(U,V)
<=> ( ( U != V )
& leq(U,V) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax93) ).
tff(f_484,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( gt(U,V)
<=> lt(V,U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax35) ).
tff(f_879,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil != U )
=> ( tl(app(U,V)) = app(tl(U),V) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).
tff(f_855,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( ( nil = app(U,V) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
tff(c_402,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_394,plain,
ssItem('#skF_52'),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
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_392,plain,
ssList('#skF_53'),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
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_386,plain,
ssItem('#skF_55'),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_390,plain,
ssList('#skF_54'),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_384,plain,
( ( nil != '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_434,plain,
nil != '#skF_51',
inference(splitLeft,[status(thm)],[c_384]) ).
tff(c_400,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_5251,plain,
! [U_1590,V_1591] :
( neq(U_1590,V_1591)
| ( V_1591 = U_1590 )
| ~ ssList(V_1591)
| ~ ssList(U_1590) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_412,plain,
( ssItem('#skF_56')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_435,plain,
~ neq('#skF_51',nil),
inference(splitLeft,[status(thm)],[c_412]) ).
tff(c_5262,plain,
( ( nil = '#skF_51' )
| ~ ssList(nil)
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_5251,c_435]) ).
tff(c_5269,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_400,c_168,c_5262]) ).
tff(c_5271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_434,c_5269]) ).
tff(c_5272,plain,
ssItem('#skF_56'),
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_5273,plain,
neq('#skF_51',nil),
inference(splitRight,[status(thm)],[c_412]) ).
tff(c_410,plain,
( ( cons('#skF_56',nil) = '#skF_50' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_249343,plain,
cons('#skF_56',nil) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_5273,c_410]) ).
tff(c_337159,plain,
! [V_6991,U_6992] :
( ( app(cons(V_6991,nil),U_6992) = cons(V_6991,U_6992) )
| ~ ssItem(V_6991)
| ~ ssList(U_6992) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_337187,plain,
! [U_6992] :
( ( cons('#skF_56',U_6992) = app('#skF_50',U_6992) )
| ~ ssItem('#skF_56')
| ~ ssList(U_6992) ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_337159]) ).
tff(c_337196,plain,
! [U_6993] :
( ( cons('#skF_56',U_6993) = app('#skF_50',U_6993) )
| ~ ssList(U_6993) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_337187]) ).
tff(c_337353,plain,
cons('#skF_56','#skF_54') = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_390,c_337196]) ).
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_337671,plain,
( ( app('#skF_50','#skF_54') != nil )
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_337353,c_182]) ).
tff(c_337692,plain,
app('#skF_50','#skF_54') != nil,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5272,c_337671]) ).
tff(c_337674,plain,
( ssList(app('#skF_50','#skF_54'))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_337353,c_166]) ).
tff(c_337694,plain,
ssList(app('#skF_50','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5272,c_337674]) ).
tff(c_249880,plain,
! [V_5517,U_5518] :
( ( cons(V_5517,U_5518) != nil )
| ~ ssItem(V_5517)
| ~ ssList(U_5518) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_249882,plain,
( ( nil != '#skF_50' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_249880]) ).
tff(c_249884,plain,
nil != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_249882]) ).
tff(c_249890,plain,
! [U_5521] :
( ( tl(U_5521) = '#skF_47'(U_5521) )
| ( nil = U_5521 )
| ~ ssList(U_5521) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_249980,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_402,c_249890]) ).
tff(c_250015,plain,
tl('#skF_50') = '#skF_47'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_249884,c_249980]) ).
tff(c_297274,plain,
! [V_6378,U_6379] :
( ( tl(cons(V_6378,U_6379)) = U_6379 )
| ~ ssItem(V_6378)
| ~ ssList(U_6379) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_297289,plain,
( ( tl('#skF_50') = nil )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_297274]) ).
tff(c_297295,plain,
'#skF_47'('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_250015,c_297289]) ).
tff(c_297299,plain,
tl('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_297295,c_250015]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_337747,plain,
app(nil,app('#skF_50','#skF_54')) = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_337694,c_196]) ).
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_396,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_388,plain,
app(app('#skF_53',cons('#skF_52',nil)),'#skF_54') = '#skF_48',
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_425,plain,
app(app('#skF_53',cons('#skF_52',nil)),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_396,c_388]) ).
tff(c_350743,plain,
! [W_7154,V_7155,X_7156] :
( segmentP(app(app(W_7154,V_7155),X_7156),V_7155)
| ~ ssList(X_7156)
| ~ ssList(W_7154)
| ~ ssList(V_7155)
| ~ ssList(app(app(W_7154,V_7155),X_7156)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_350976,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_425,c_350743]) ).
tff(c_351135,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_425,c_392,c_390,c_350976]) ).
tff(c_351413,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_351135]) ).
tff(c_351416,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_351413]) ).
tff(c_351420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_394,c_351416]) ).
tff(c_351422,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_351135]) ).
tff(c_346504,plain,
! [U_7098,V_7099,W_7100] :
( ( app(app(U_7098,V_7099),W_7100) = app(U_7098,app(V_7099,W_7100)) )
| ~ ssList(W_7100)
| ~ ssList(V_7099)
| ~ ssList(U_7098) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_346637,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_346504,c_425]) ).
tff(c_346905,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_392,c_390,c_346637]) ).
tff(c_360895,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_351422,c_346905]) ).
tff(c_360963,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_360895]) ).
tff(c_361014,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_360963]) ).
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_361042,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_361014,c_12]) ).
tff(c_361115,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_361014,c_394,c_392,c_390,c_361042]) ).
tff(c_347757,plain,
! [W_7115,U_7116,V_7117] :
( memberP(W_7115,U_7116)
| ( V_7117 = U_7116 )
| ~ memberP(cons(V_7117,W_7115),U_7116)
| ~ ssList(W_7115)
| ~ ssItem(V_7117)
| ~ ssItem(U_7116) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_347808,plain,
! [U_7116] :
( memberP(nil,U_7116)
| ( U_7116 = '#skF_56' )
| ~ memberP('#skF_50',U_7116)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_7116) ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_347757]) ).
tff(c_348071,plain,
! [U_7123] :
( memberP(nil,U_7123)
| ( U_7123 = '#skF_56' )
| ~ memberP('#skF_50',U_7123)
| ~ ssItem(U_7123) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_347808]) ).
tff(c_228,plain,
! [U_948] :
( ~ memberP(nil,U_948)
| ~ ssItem(U_948) ),
inference(cnfTransformation,[status(thm)],[f_517]) ).
tff(c_348075,plain,
! [U_7123] :
( ( U_7123 = '#skF_56' )
| ~ memberP('#skF_50',U_7123)
| ~ ssItem(U_7123) ),
inference(resolution,[status(thm)],[c_348071,c_228]) ).
tff(c_361161,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_361115,c_348075]) ).
tff(c_361164,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_361161]) ).
tff(c_351421,plain,
segmentP('#skF_50',cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_351135]) ).
tff(c_361188,plain,
segmentP('#skF_50',cons('#skF_56',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_361164,c_351421]) ).
tff(c_361228,plain,
segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_249343,c_361188]) ).
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_351550,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_351421,c_268]) ).
tff(c_351556,plain,
( ( cons('#skF_52',nil) = '#skF_50' )
| ~ segmentP(cons('#skF_52',nil),'#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_351422,c_402,c_351550]) ).
tff(c_357493,plain,
~ segmentP(cons('#skF_52',nil),'#skF_50'),
inference(splitLeft,[status(thm)],[c_351556]) ).
tff(c_361173,plain,
~ segmentP(cons('#skF_56',nil),'#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_361164,c_357493]) ).
tff(c_361213,plain,
~ segmentP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_249343,c_361173]) ).
tff(c_361531,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_361228,c_361213]) ).
tff(c_361532,plain,
cons('#skF_52',nil) = '#skF_50',
inference(splitRight,[status(thm)],[c_351556]) ).
tff(c_361552,plain,
app(app('#skF_53','#skF_50'),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_361532,c_425]) ).
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_361917,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_361552,c_348]) ).
tff(c_361975,plain,
app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_392,c_402,c_390,c_361917]) ).
tff(c_202,plain,
! [U_917] :
( leq(U_917,U_917)
| ~ ssItem(U_917) ),
inference(cnfTransformation,[status(thm)],[f_442]) ).
tff(c_216184,plain,
cons('#skF_56',nil) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_5273,c_410]) ).
tff(c_222652,plain,
! [V_5162,U_5163] :
( ( app(cons(V_5162,nil),U_5163) = cons(V_5162,U_5163) )
| ~ ssItem(V_5162)
| ~ ssList(U_5163) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_222674,plain,
! [U_5163] :
( ( cons('#skF_56',U_5163) = app('#skF_50',U_5163) )
| ~ ssItem('#skF_56')
| ~ ssList(U_5163) ),
inference(superposition,[status(thm),theory(equality)],[c_216184,c_222652]) ).
tff(c_222681,plain,
! [U_5164] :
( ( cons('#skF_56',U_5164) = app('#skF_50',U_5164) )
| ~ ssList(U_5164) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_222674]) ).
tff(c_222850,plain,
cons('#skF_56','#skF_50') = app('#skF_50','#skF_50'),
inference(resolution,[status(thm)],[c_402,c_222681]) ).
tff(c_216721,plain,
! [V_4987,U_4988] :
( ( cons(V_4987,U_4988) != nil )
| ~ ssItem(V_4987)
| ~ ssList(U_4988) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_216723,plain,
( ( nil != '#skF_50' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_216184,c_216721]) ).
tff(c_216725,plain,
nil != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_216723]) ).
tff(c_216909,plain,
! [U_4992] :
( ( hd(U_4992) = '#skF_46'(U_4992) )
| ( nil = U_4992 )
| ~ ssList(U_4992) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_217005,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_402,c_216909]) ).
tff(c_217042,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_216725,c_217005]) ).
tff(c_217964,plain,
! [V_5020,U_5021] :
( ( hd(cons(V_5020,U_5021)) = V_5020 )
| ~ ssItem(V_5020)
| ~ ssList(U_5021) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_217979,plain,
( ( hd('#skF_50') = '#skF_56' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_216184,c_217964]) ).
tff(c_217985,plain,
'#skF_46'('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_217042,c_217979]) ).
tff(c_217987,plain,
hd('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_217985,c_217042]) ).
tff(c_227743,plain,
! [U_5211,V_5212] :
( leq(U_5211,hd(V_5212))
| ( nil = V_5212 )
| ~ totalorderedP(cons(U_5211,V_5212))
| ~ ssList(V_5212)
| ~ ssItem(U_5211) ),
inference(cnfTransformation,[status(thm)],[f_728]) ).
tff(c_227781,plain,
! [U_5211] :
( leq(U_5211,'#skF_56')
| ( nil = '#skF_50' )
| ~ totalorderedP(cons(U_5211,'#skF_50'))
| ~ ssList('#skF_50')
| ~ ssItem(U_5211) ),
inference(superposition,[status(thm),theory(equality)],[c_217987,c_227743]) ).
tff(c_227824,plain,
! [U_5211] :
( leq(U_5211,'#skF_56')
| ( nil = '#skF_50' )
| ~ totalorderedP(cons(U_5211,'#skF_50'))
| ~ ssItem(U_5211) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_227781]) ).
tff(c_237656,plain,
! [U_5350] :
( leq(U_5350,'#skF_56')
| ~ totalorderedP(cons(U_5350,'#skF_50'))
| ~ ssItem(U_5350) ),
inference(negUnitSimplification,[status(thm)],[c_216725,c_227824]) ).
tff(c_237659,plain,
( leq('#skF_56','#skF_56')
| ~ totalorderedP(app('#skF_50','#skF_50'))
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_222850,c_237656]) ).
tff(c_237664,plain,
( leq('#skF_56','#skF_56')
| ~ totalorderedP(app('#skF_50','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_237659]) ).
tff(c_237666,plain,
~ totalorderedP(app('#skF_50','#skF_50')),
inference(splitLeft,[status(thm)],[c_237664]) ).
tff(c_216219,plain,
! [U_4937] :
( totalorderedP(cons(U_4937,nil))
| ~ ssItem(U_4937) ),
inference(cnfTransformation,[status(thm)],[f_711]) ).
tff(c_216222,plain,
( totalorderedP('#skF_50')
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_216184,c_216219]) ).
tff(c_216224,plain,
totalorderedP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_216222]) ).
tff(c_232408,plain,
! [U_5273,V_5274] :
( ~ leq(U_5273,hd(V_5274))
| ~ totalorderedP(V_5274)
| ( nil = V_5274 )
| totalorderedP(cons(U_5273,V_5274))
| ~ ssList(V_5274)
| ~ ssItem(U_5273) ),
inference(cnfTransformation,[status(thm)],[f_728]) ).
tff(c_232452,plain,
! [U_5273] :
( ~ leq(U_5273,'#skF_56')
| ~ totalorderedP('#skF_50')
| ( nil = '#skF_50' )
| totalorderedP(cons(U_5273,'#skF_50'))
| ~ ssList('#skF_50')
| ~ ssItem(U_5273) ),
inference(superposition,[status(thm),theory(equality)],[c_217987,c_232408]) ).
tff(c_232500,plain,
! [U_5273] :
( ~ leq(U_5273,'#skF_56')
| ( nil = '#skF_50' )
| totalorderedP(cons(U_5273,'#skF_50'))
| ~ ssItem(U_5273) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_216224,c_232452]) ).
tff(c_237726,plain,
! [U_5352] :
( ~ leq(U_5352,'#skF_56')
| totalorderedP(cons(U_5352,'#skF_50'))
| ~ ssItem(U_5352) ),
inference(negUnitSimplification,[status(thm)],[c_216725,c_232500]) ).
tff(c_237735,plain,
( ~ leq('#skF_56','#skF_56')
| totalorderedP(app('#skF_50','#skF_50'))
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_222850,c_237726]) ).
tff(c_237742,plain,
( ~ leq('#skF_56','#skF_56')
| totalorderedP(app('#skF_50','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_237735]) ).
tff(c_237743,plain,
~ leq('#skF_56','#skF_56'),
inference(negUnitSimplification,[status(thm)],[c_237666,c_237742]) ).
tff(c_237758,plain,
~ ssItem('#skF_56'),
inference(resolution,[status(thm)],[c_202,c_237743]) ).
tff(c_237774,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_237758]) ).
tff(c_237775,plain,
leq('#skF_56','#skF_56'),
inference(splitRight,[status(thm)],[c_237664]) ).
tff(c_420,plain,
( memberP('#skF_53','#skF_55')
| memberP('#skF_54','#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_216117,plain,
memberP('#skF_54','#skF_55'),
inference(splitLeft,[status(thm)],[c_420]) ).
tff(c_223995,plain,
! [U_5179,V_5180] :
( ( hd(app(U_5179,V_5180)) = hd(U_5179) )
| ( nil = U_5179 )
| ~ ssList(V_5180)
| ~ ssList(U_5179) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_224193,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_425,c_223995]) ).
tff(c_224405,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_390,c_217987,c_224193]) ).
tff(c_224446,plain,
~ ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitLeft,[status(thm)],[c_224405]) ).
tff(c_224449,plain,
( ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_224446]) ).
tff(c_224452,plain,
~ ssList(cons('#skF_52',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_224449]) ).
tff(c_224455,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_224452]) ).
tff(c_224459,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_394,c_224455]) ).
tff(c_224461,plain,
ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitRight,[status(thm)],[c_224405]) ).
tff(c_226346,plain,
! [W_5196,U_5197,V_5198] :
( ~ memberP(W_5196,U_5197)
| memberP(app(V_5198,W_5196),U_5197)
| ~ ssList(W_5196)
| ~ ssList(V_5198)
| ~ ssItem(U_5197) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_226511,plain,
! [U_5197] :
( ~ memberP('#skF_54',U_5197)
| memberP('#skF_50',U_5197)
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil)))
| ~ ssItem(U_5197) ),
inference(superposition,[status(thm),theory(equality)],[c_425,c_226346]) ).
tff(c_226679,plain,
! [U_5199] :
( ~ memberP('#skF_54',U_5199)
| memberP('#skF_50',U_5199)
| ~ ssItem(U_5199) ),
inference(demodulation,[status(thm),theory(equality)],[c_224461,c_390,c_226511]) ).
tff(c_226685,plain,
( memberP('#skF_50','#skF_55')
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_216117,c_226679]) ).
tff(c_226691,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_226685]) ).
tff(c_233116,plain,
! [W_5282,U_5283,V_5284] :
( memberP(W_5282,U_5283)
| ( V_5284 = U_5283 )
| ~ memberP(cons(V_5284,W_5282),U_5283)
| ~ ssList(W_5282)
| ~ ssItem(V_5284)
| ~ ssItem(U_5283) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_233167,plain,
! [U_5283] :
( memberP(nil,U_5283)
| ( U_5283 = '#skF_56' )
| ~ memberP('#skF_50',U_5283)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_5283) ),
inference(superposition,[status(thm),theory(equality)],[c_216184,c_233116]) ).
tff(c_235456,plain,
! [U_5314] :
( memberP(nil,U_5314)
| ( U_5314 = '#skF_56' )
| ~ memberP('#skF_50',U_5314)
| ~ ssItem(U_5314) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_233167]) ).
tff(c_235461,plain,
! [U_5315] :
( ( U_5315 = '#skF_56' )
| ~ memberP('#skF_50',U_5315)
| ~ ssItem(U_5315) ),
inference(resolution,[status(thm)],[c_235456,c_228]) ).
tff(c_235467,plain,
( ( '#skF_55' = '#skF_56' )
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_226691,c_235461]) ).
tff(c_235476,plain,
'#skF_55' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_386,c_235467]) ).
tff(c_121036,plain,
! [U_3369] :
( ( tl(U_3369) = '#skF_47'(U_3369) )
| ( nil = U_3369 )
| ~ ssList(U_3369) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_121145,plain,
( ( tl('#skF_54') = '#skF_47'('#skF_54') )
| ( nil = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_390,c_121036]) ).
tff(c_121663,plain,
nil = '#skF_54',
inference(splitLeft,[status(thm)],[c_121145]) ).
tff(c_20,plain,
! [V_33] :
( singletonP(cons(V_33,nil))
| ~ ssItem(V_33)
| ~ ssList(cons(V_33,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_129958,plain,
! [V_3622] :
( singletonP(cons(V_3622,'#skF_54'))
| ~ ssItem(V_3622)
| ~ ssList(cons(V_3622,'#skF_54')) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_121663,c_20]) ).
tff(c_129968,plain,
! [V_861] :
( singletonP(cons(V_861,'#skF_54'))
| ~ ssItem(V_861)
| ~ ssList('#skF_54') ),
inference(resolution,[status(thm)],[c_166,c_129958]) ).
tff(c_129973,plain,
! [V_861] :
( singletonP(cons(V_861,'#skF_54'))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_129968]) ).
tff(c_5334,plain,
cons('#skF_56',nil) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_5273,c_410]) ).
tff(c_95799,plain,
! [V_3057,U_3058] :
( ( app(cons(V_3057,nil),U_3058) = cons(V_3057,U_3058) )
| ~ ssItem(V_3057)
| ~ ssList(U_3058) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_95821,plain,
! [U_3058] :
( ( cons('#skF_56',U_3058) = app('#skF_50',U_3058) )
| ~ ssItem('#skF_56')
| ~ ssList(U_3058) ),
inference(superposition,[status(thm),theory(equality)],[c_5334,c_95799]) ).
tff(c_95828,plain,
! [U_3059] :
( ( cons('#skF_56',U_3059) = app('#skF_50',U_3059) )
| ~ ssList(U_3059) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_95821]) ).
tff(c_95997,plain,
cons('#skF_56','#skF_50') = app('#skF_50','#skF_50'),
inference(resolution,[status(thm)],[c_402,c_95828]) ).
tff(c_5698,plain,
! [U_1657] :
( ( tl(U_1657) = '#skF_47'(U_1657) )
| ( nil = U_1657 )
| ~ ssList(U_1657) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_5813,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_402,c_5698]) ).
tff(c_89241,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_5813]) ).
tff(c_89263,plain,
cons('#skF_56','#skF_50') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_89241,c_5334]) ).
tff(c_89328,plain,
! [V_887,U_885] :
( ( cons(V_887,U_885) != '#skF_50' )
| ~ ssItem(V_887)
| ~ ssList(U_885) ),
inference(demodulation,[status(thm),theory(equality)],[c_89241,c_182]) ).
tff(c_89337,plain,
( ~ ssItem('#skF_56')
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_89263,c_89328]) ).
tff(c_89345,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402,c_5272,c_89337]) ).
tff(c_89347,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_5813]) ).
tff(c_5364,plain,
! [U_1610] :
( totalorderedP(cons(U_1610,nil))
| ~ ssItem(U_1610) ),
inference(cnfTransformation,[status(thm)],[f_711]) ).
tff(c_5367,plain,
( totalorderedP('#skF_50')
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_5334,c_5364]) ).
tff(c_5369,plain,
totalorderedP('#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_5367]) ).
tff(c_89095,plain,
! [U_2845] :
( ( hd(U_2845) = '#skF_46'(U_2845) )
| ( nil = U_2845 )
| ~ ssList(U_2845) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_89220,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_402,c_89095]) ).
tff(c_89348,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_89220]) ).
tff(c_89349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89347,c_89348]) ).
tff(c_89350,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(splitRight,[status(thm)],[c_89220]) ).
tff(c_90424,plain,
! [V_2884,U_2885] :
( ( hd(cons(V_2884,U_2885)) = V_2884 )
| ~ ssItem(V_2884)
| ~ ssList(U_2885) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_90439,plain,
( ( hd('#skF_50') = '#skF_56' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_5334,c_90424]) ).
tff(c_90445,plain,
'#skF_46'('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_89350,c_90439]) ).
tff(c_90447,plain,
hd('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_90445,c_89350]) ).
tff(c_107512,plain,
! [U_3183,V_3184] :
( ~ leq(U_3183,hd(V_3184))
| ~ totalorderedP(V_3184)
| ( nil = V_3184 )
| totalorderedP(cons(U_3183,V_3184))
| ~ ssList(V_3184)
| ~ ssItem(U_3183) ),
inference(cnfTransformation,[status(thm)],[f_728]) ).
tff(c_107559,plain,
! [U_3183] :
( ~ leq(U_3183,'#skF_56')
| ~ totalorderedP('#skF_50')
| ( nil = '#skF_50' )
| totalorderedP(cons(U_3183,'#skF_50'))
| ~ ssList('#skF_50')
| ~ ssItem(U_3183) ),
inference(superposition,[status(thm),theory(equality)],[c_90447,c_107512]) ).
tff(c_107610,plain,
! [U_3183] :
( ~ leq(U_3183,'#skF_56')
| ( nil = '#skF_50' )
| totalorderedP(cons(U_3183,'#skF_50'))
| ~ ssItem(U_3183) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_5369,c_107559]) ).
tff(c_107955,plain,
! [U_3190] :
( ~ leq(U_3190,'#skF_56')
| totalorderedP(cons(U_3190,'#skF_50'))
| ~ ssItem(U_3190) ),
inference(negUnitSimplification,[status(thm)],[c_89347,c_107610]) ).
tff(c_107961,plain,
( ~ leq('#skF_56','#skF_56')
| totalorderedP(app('#skF_50','#skF_50'))
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_95997,c_107955]) ).
tff(c_107967,plain,
( ~ leq('#skF_56','#skF_56')
| totalorderedP(app('#skF_50','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_107961]) ).
tff(c_107968,plain,
~ leq('#skF_56','#skF_56'),
inference(splitLeft,[status(thm)],[c_107967]) ).
tff(c_107977,plain,
~ ssItem('#skF_56'),
inference(resolution,[status(thm)],[c_202,c_107968]) ).
tff(c_107987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_107977]) ).
tff(c_107989,plain,
leq('#skF_56','#skF_56'),
inference(splitRight,[status(thm)],[c_107967]) ).
tff(c_204,plain,
! [U_918,V_920] :
( geq(U_918,V_920)
| ~ leq(V_920,U_918)
| ~ ssItem(V_920)
| ~ ssItem(U_918) ),
inference(cnfTransformation,[status(thm)],[f_451]) ).
tff(c_107996,plain,
( geq('#skF_56','#skF_56')
| ~ ssItem('#skF_56') ),
inference(resolution,[status(thm)],[c_107989,c_204]) ).
tff(c_108006,plain,
geq('#skF_56','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_107996]) ).
tff(c_111772,plain,
! [W_3236,V_3237,X_3238] :
( segmentP(app(app(W_3236,V_3237),X_3238),V_3237)
| ~ ssList(X_3238)
| ~ ssList(W_3236)
| ~ ssList(V_3237)
| ~ ssList(app(app(W_3236,V_3237),X_3238)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_112044,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_425,c_111772]) ).
tff(c_112213,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_425,c_392,c_390,c_112044]) ).
tff(c_112265,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_112213]) ).
tff(c_112268,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_112265]) ).
tff(c_112272,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_394,c_112268]) ).
tff(c_112274,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_112213]) ).
tff(c_105646,plain,
! [U_3160,V_3161,W_3162] :
( ( app(app(U_3160,V_3161),W_3162) = app(U_3160,app(V_3161,W_3162)) )
| ~ ssList(W_3162)
| ~ ssList(V_3161)
| ~ ssList(U_3160) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_105797,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_105646,c_425]) ).
tff(c_106088,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_392,c_390,c_105797]) ).
tff(c_120068,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_112274,c_106088]) ).
tff(c_120130,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_120068]) ).
tff(c_120179,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_120130]) ).
tff(c_120207,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_120179,c_12]) ).
tff(c_120275,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_120179,c_394,c_392,c_390,c_120207]) ).
tff(c_107202,plain,
! [W_3179,U_3180,V_3181] :
( memberP(W_3179,U_3180)
| ( V_3181 = U_3180 )
| ~ memberP(cons(V_3181,W_3179),U_3180)
| ~ ssList(W_3179)
| ~ ssItem(V_3181)
| ~ ssItem(U_3180) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_107256,plain,
! [U_3180] :
( memberP(nil,U_3180)
| ( U_3180 = '#skF_56' )
| ~ memberP('#skF_50',U_3180)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_3180) ),
inference(superposition,[status(thm),theory(equality)],[c_5334,c_107202]) ).
tff(c_109797,plain,
! [U_3210] :
( memberP(nil,U_3210)
| ( U_3210 = '#skF_56' )
| ~ memberP('#skF_50',U_3210)
| ~ ssItem(U_3210) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_107256]) ).
tff(c_109801,plain,
! [U_3210] :
( ( U_3210 = '#skF_56' )
| ~ memberP('#skF_50',U_3210)
| ~ ssItem(U_3210) ),
inference(resolution,[status(thm)],[c_109797,c_228]) ).
tff(c_120318,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_120275,c_109801]) ).
tff(c_120321,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_120318]) ).
tff(c_5294,plain,
memberP('#skF_54','#skF_55'),
inference(splitLeft,[status(thm)],[c_420]) ).
tff(c_96166,plain,
! [U_3060,V_3061] :
( ( hd(app(U_3060,V_3061)) = hd(U_3060) )
| ( nil = U_3060 )
| ~ ssList(V_3061)
| ~ ssList(U_3060) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_96349,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_425,c_96166]) ).
tff(c_96545,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_390,c_90447,c_96349]) ).
tff(c_97017,plain,
~ ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitLeft,[status(thm)],[c_96545]) ).
tff(c_97072,plain,
( ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_97017]) ).
tff(c_97075,plain,
~ ssList(cons('#skF_52',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_97072]) ).
tff(c_97078,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_97075]) ).
tff(c_97082,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_394,c_97078]) ).
tff(c_97084,plain,
ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitRight,[status(thm)],[c_96545]) ).
tff(c_102083,plain,
! [W_3112,U_3113,V_3114] :
( ~ memberP(W_3112,U_3113)
| memberP(app(V_3114,W_3112),U_3113)
| ~ ssList(W_3112)
| ~ ssList(V_3114)
| ~ ssItem(U_3113) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_102263,plain,
! [U_3113] :
( ~ memberP('#skF_54',U_3113)
| memberP('#skF_50',U_3113)
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil)))
| ~ ssItem(U_3113) ),
inference(superposition,[status(thm),theory(equality)],[c_425,c_102083]) ).
tff(c_102421,plain,
! [U_3115] :
( ~ memberP('#skF_54',U_3115)
| memberP('#skF_50',U_3115)
| ~ ssItem(U_3115) ),
inference(demodulation,[status(thm),theory(equality)],[c_97084,c_390,c_102263]) ).
tff(c_102427,plain,
( memberP('#skF_50','#skF_55')
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_5294,c_102421]) ).
tff(c_102433,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_102427]) ).
tff(c_109802,plain,
! [U_3211] :
( ( U_3211 = '#skF_56' )
| ~ memberP('#skF_50',U_3211)
| ~ ssItem(U_3211) ),
inference(resolution,[status(thm)],[c_109797,c_228]) ).
tff(c_109808,plain,
( ( '#skF_55' = '#skF_56' )
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_102433,c_109802]) ).
tff(c_109817,plain,
'#skF_55' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_386,c_109808]) ).
tff(c_92613,plain,
! [V_2952,U_2953] :
( leq(V_2952,U_2953)
| ~ geq(U_2953,V_2952)
| ~ ssItem(V_2952)
| ~ ssItem(U_2953) ),
inference(cnfTransformation,[status(thm)],[f_451]) ).
tff(c_414,plain,
( ~ leq('#skF_55','#skF_52')
| ~ leq('#skF_52','#skF_55') ),
inference(cnfTransformation,[status(thm)],[f_1038]) ).
tff(c_5285,plain,
~ leq('#skF_52','#skF_55'),
inference(splitLeft,[status(thm)],[c_414]) ).
tff(c_92628,plain,
( ~ geq('#skF_55','#skF_52')
| ~ ssItem('#skF_52')
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_92613,c_5285]) ).
tff(c_92637,plain,
~ geq('#skF_55','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_394,c_92628]) ).
tff(c_109825,plain,
~ geq('#skF_56','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_109817,c_92637]) ).
tff(c_120347,plain,
~ geq('#skF_56','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_120321,c_109825]) ).
tff(c_120384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108006,c_120347]) ).
tff(c_120385,plain,
memberP('#skF_53','#skF_55'),
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_121144,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_392,c_121036]) ).
tff(c_121194,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_121144]) ).
tff(c_121495,plain,
! [U_3377] :
( ~ memberP('#skF_53',U_3377)
| ~ ssItem(U_3377) ),
inference(demodulation,[status(thm),theory(equality)],[c_121194,c_228]) ).
tff(c_121498,plain,
~ ssItem('#skF_55'),
inference(resolution,[status(thm)],[c_120385,c_121495]) ).
tff(c_121502,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_121498]) ).
tff(c_121504,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_121144]) ).
tff(c_121665,plain,
'#skF_54' != '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_121504]) ).
tff(c_121505,plain,
! [U_3378] :
( ( hd(U_3378) = '#skF_46'(U_3378) )
| ( nil = U_3378 )
| ~ ssList(U_3378) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_121580,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_392,c_121505]) ).
tff(c_121619,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_121504,c_121580]) ).
tff(c_120388,plain,
cons('#skF_56',nil) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_5273,c_410]) ).
tff(c_120908,plain,
! [V_3364,U_3365] :
( ( cons(V_3364,U_3365) != nil )
| ~ ssItem(V_3364)
| ~ ssList(U_3365) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_120910,plain,
( ( nil != '#skF_50' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_120908]) ).
tff(c_120912,plain,
nil != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_120910]) ).
tff(c_121592,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_402,c_121505]) ).
tff(c_121628,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_120912,c_121592]) ).
tff(c_121693,plain,
cons('#skF_56','#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_120388]) ).
tff(c_121860,plain,
! [V_3390,U_3391] :
( ( hd(cons(V_3390,U_3391)) = V_3390 )
| ~ ssItem(V_3390)
| ~ ssList(U_3391) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_121869,plain,
( ( hd('#skF_50') = '#skF_56' )
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_121693,c_121860]) ).
tff(c_121873,plain,
'#skF_46'('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5272,c_121628,c_121869]) ).
tff(c_121874,plain,
hd('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_121873,c_121628]) ).
tff(c_121677,plain,
app(app('#skF_53',cons('#skF_52','#skF_54')),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_425]) ).
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_131500,plain,
! [U_3689,V_3690] :
( ( hd(app(U_3689,V_3690)) = hd(U_3689) )
| ( U_3689 = '#skF_54' )
| ~ ssList(V_3690)
| ~ ssList(U_3689) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_358]) ).
tff(c_131623,plain,
( ( hd(app('#skF_53',cons('#skF_52','#skF_54'))) = hd('#skF_50') )
| ( app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_54' )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_121677,c_131500]) ).
tff(c_131756,plain,
( ( hd(app('#skF_53',cons('#skF_52','#skF_54'))) = '#skF_56' )
| ( app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_54' )
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_121874,c_131623]) ).
tff(c_132046,plain,
~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))),
inference(splitLeft,[status(thm)],[c_131756]) ).
tff(c_132049,plain,
( ~ ssList(cons('#skF_52','#skF_54'))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_132046]) ).
tff(c_132052,plain,
~ ssList(cons('#skF_52','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_132049]) ).
tff(c_132055,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(resolution,[status(thm)],[c_166,c_132052]) ).
tff(c_132059,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_132055]) ).
tff(c_132061,plain,
ssList(app('#skF_53',cons('#skF_52','#skF_54'))),
inference(splitRight,[status(thm)],[c_131756]) ).
tff(c_356,plain,
! [U_1080] :
( ( app(U_1080,nil) = U_1080 )
| ~ ssList(U_1080) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_121683,plain,
! [U_1080] :
( ( app(U_1080,'#skF_54') = U_1080 )
| ~ ssList(U_1080) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_356]) ).
tff(c_132085,plain,
app(app('#skF_53',cons('#skF_52','#skF_54')),'#skF_54') = app('#skF_53',cons('#skF_52','#skF_54')),
inference(resolution,[status(thm)],[c_132061,c_121683]) ).
tff(c_132100,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_121677,c_132085]) ).
tff(c_131499,plain,
! [U_1081,V_1083] :
( ( hd(app(U_1081,V_1083)) = hd(U_1081) )
| ( U_1081 = '#skF_54' )
| ~ ssList(V_1083)
| ~ ssList(U_1081) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_358]) ).
tff(c_132110,plain,
( ( hd('#skF_53') = hd('#skF_50') )
| ( '#skF_54' = '#skF_53' )
| ~ ssList(cons('#skF_52','#skF_54'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_132100,c_131499]) ).
tff(c_132121,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( '#skF_54' = '#skF_53' )
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_121619,c_121874,c_132110]) ).
tff(c_132122,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(negUnitSimplification,[status(thm)],[c_121665,c_132121]) ).
tff(c_132131,plain,
~ ssList(cons('#skF_52','#skF_54')),
inference(splitLeft,[status(thm)],[c_132122]) ).
tff(c_132144,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(resolution,[status(thm)],[c_166,c_132131]) ).
tff(c_132148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_132144]) ).
tff(c_132150,plain,
ssList(cons('#skF_52','#skF_54')),
inference(splitRight,[status(thm)],[c_132122]) ).
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_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_122685,plain,
! [U_3417] :
( ( cons('#skF_5'(U_3417),'#skF_54') = U_3417 )
| ~ singletonP(U_3417)
| ~ ssList(U_3417) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_22]) ).
tff(c_326,plain,
! [U_1044] :
( equalelemsP(cons(U_1044,nil))
| ~ ssItem(U_1044) ),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_121696,plain,
! [U_1044] :
( equalelemsP(cons(U_1044,'#skF_54'))
| ~ ssItem(U_1044) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_326]) ).
tff(c_129742,plain,
! [U_3612] :
( equalelemsP(U_3612)
| ~ ssItem('#skF_5'(U_3612))
| ~ singletonP(U_3612)
| ~ ssList(U_3612) ),
inference(superposition,[status(thm),theory(equality)],[c_122685,c_121696]) ).
tff(c_129746,plain,
! [U_30] :
( equalelemsP(U_30)
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(resolution,[status(thm)],[c_24,c_129742]) ).
tff(c_132235,plain,
( equalelemsP(cons('#skF_52','#skF_54'))
| ~ singletonP(cons('#skF_52','#skF_54')) ),
inference(resolution,[status(thm)],[c_132150,c_129746]) ).
tff(c_132286,plain,
~ singletonP(cons('#skF_52','#skF_54')),
inference(splitLeft,[status(thm)],[c_132235]) ).
tff(c_132289,plain,
~ ssItem('#skF_52'),
inference(resolution,[status(thm)],[c_129973,c_132286]) ).
tff(c_132293,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_132289]) ).
tff(c_132295,plain,
singletonP(cons('#skF_52','#skF_54')),
inference(splitRight,[status(thm)],[c_132235]) ).
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_122719,plain,
! [U_3417] :
( ( U_3417 != '#skF_54' )
| ~ ssItem('#skF_5'(U_3417))
| ~ ssList('#skF_54')
| ~ singletonP(U_3417)
| ~ ssList(U_3417) ),
inference(superposition,[status(thm),theory(equality)],[c_122685,c_170]) ).
tff(c_122813,plain,
! [U_3428] :
( ( U_3428 != '#skF_54' )
| ~ ssItem('#skF_5'(U_3428))
| ~ singletonP(U_3428)
| ~ ssList(U_3428) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_122719]) ).
tff(c_122817,plain,
! [U_30] :
( ( U_30 != '#skF_54' )
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(resolution,[status(thm)],[c_24,c_122813]) ).
tff(c_132238,plain,
( ( cons('#skF_52','#skF_54') != '#skF_54' )
| ~ singletonP(cons('#skF_52','#skF_54')) ),
inference(resolution,[status(thm)],[c_132150,c_122817]) ).
tff(c_132327,plain,
cons('#skF_52','#skF_54') != '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_132295,c_132238]) ).
tff(c_121120,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_402,c_121036]) ).
tff(c_121153,plain,
tl('#skF_50') = '#skF_47'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_120912,c_121120]) ).
tff(c_122746,plain,
! [V_3421,U_3422] :
( ( tl(cons(V_3421,U_3422)) = U_3422 )
| ~ ssItem(V_3421)
| ~ ssList(U_3422) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_122761,plain,
( ( tl('#skF_50') = '#skF_54' )
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_121693,c_122746]) ).
tff(c_122767,plain,
'#skF_47'('#skF_50') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5272,c_121153,c_122761]) ).
tff(c_122771,plain,
tl('#skF_50') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_122767,c_121153]) ).
tff(c_132149,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(splitRight,[status(thm)],[c_132122]) ).
tff(c_121503,plain,
tl('#skF_53') = '#skF_47'('#skF_53'),
inference(splitRight,[status(thm)],[c_121144]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_122199,plain,
! [U_3402] :
( ssList(tl(U_3402))
| ( U_3402 = '#skF_54' )
| ~ ssList(U_3402) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_188]) ).
tff(c_122214,plain,
( ssList('#skF_47'('#skF_53'))
| ( '#skF_54' = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_121503,c_122199]) ).
tff(c_122226,plain,
( ssList('#skF_47'('#skF_53'))
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_122214]) ).
tff(c_122227,plain,
ssList('#skF_47'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_121665,c_122226]) ).
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_122552,plain,
! [U_3416] :
( ( tl(U_3416) = '#skF_47'(U_3416) )
| ( U_3416 = '#skF_54' )
| ~ ssList(U_3416) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_334]) ).
tff(c_122648,plain,
( ( tl('#skF_47'('#skF_53')) = '#skF_47'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_122227,c_122552]) ).
tff(c_129905,plain,
'#skF_47'('#skF_53') = '#skF_54',
inference(splitLeft,[status(thm)],[c_122648]) ).
tff(c_129911,plain,
tl('#skF_53') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_129905,c_121503]) ).
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_129985,plain,
! [U_3624] :
( ( cons(hd(U_3624),tl(U_3624)) = U_3624 )
| ( U_3624 = '#skF_54' )
| ~ ssList(U_3624) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_340]) ).
tff(c_130028,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( '#skF_54' = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_121619,c_129985]) ).
tff(c_130049,plain,
( ( cons('#skF_46'('#skF_53'),'#skF_54') = '#skF_53' )
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_129911,c_130028]) ).
tff(c_130050,plain,
cons('#skF_46'('#skF_53'),'#skF_54') = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_121665,c_130049]) ).
tff(c_132152,plain,
cons('#skF_56','#skF_54') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_132149,c_130050]) ).
tff(c_132155,plain,
'#skF_53' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_121693,c_132152]) ).
tff(c_132168,plain,
app('#skF_50',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_132155,c_132100]) ).
tff(c_132515,plain,
! [V_3715,U_3716] :
( ( app(cons(V_3715,'#skF_54'),U_3716) = cons(V_3715,U_3716) )
| ~ ssItem(V_3715)
| ~ ssList(U_3716) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_346]) ).
tff(c_132546,plain,
! [U_3716] :
( ( cons('#skF_56',U_3716) = app('#skF_50',U_3716) )
| ~ ssItem('#skF_56')
| ~ ssList(U_3716) ),
inference(superposition,[status(thm),theory(equality)],[c_121693,c_132515]) ).
tff(c_132559,plain,
! [U_3717] :
( ( cons('#skF_56',U_3717) = app('#skF_50',U_3717) )
| ~ ssList(U_3717) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_132546]) ).
tff(c_132562,plain,
cons('#skF_56',cons('#skF_52','#skF_54')) = app('#skF_50',cons('#skF_52','#skF_54')),
inference(resolution,[status(thm)],[c_132150,c_132559]) ).
tff(c_132666,plain,
cons('#skF_56',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_132168,c_132562]) ).
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_133034,plain,
( ( cons('#skF_52','#skF_54') = tl('#skF_50') )
| ~ ssItem('#skF_56')
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_132666,c_190]) ).
tff(c_133057,plain,
cons('#skF_52','#skF_54') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_132150,c_5272,c_122771,c_133034]) ).
tff(c_133059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132327,c_133057]) ).
tff(c_133061,plain,
'#skF_47'('#skF_53') != '#skF_54',
inference(splitRight,[status(thm)],[c_122648]) ).
tff(c_120472,plain,
! [U_3318] :
( ( app(U_3318,nil) = U_3318 )
| ~ ssList(U_3318) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_120489,plain,
app('#skF_54',nil) = '#skF_54',
inference(resolution,[status(thm)],[c_390,c_120472]) ).
tff(c_121679,plain,
app('#skF_54','#skF_54') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_120489]) ).
tff(c_128190,plain,
! [W_3578,V_3579] :
( rearsegP(app(W_3578,V_3579),V_3579)
| ~ ssList(W_3578)
| ~ ssList(V_3579)
| ~ ssList(app(W_3578,V_3579)) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_128378,plain,
( rearsegP('#skF_54','#skF_54')
| ~ ssList('#skF_54')
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_54','#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_121679,c_128190]) ).
tff(c_128507,plain,
rearsegP('#skF_54','#skF_54'),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_121679,c_390,c_390,c_128378]) ).
tff(c_126706,plain,
! [U_3565,V_3566] :
( ( hd(app(U_3565,V_3566)) = hd(U_3565) )
| ( U_3565 = '#skF_54' )
| ~ ssList(V_3566)
| ~ ssList(U_3565) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_358]) ).
tff(c_126877,plain,
( ( hd(app('#skF_53',cons('#skF_52','#skF_54'))) = hd('#skF_50') )
| ( app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_54' )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))) ),
inference(superposition,[status(thm),theory(equality)],[c_121677,c_126706]) ).
tff(c_127058,plain,
( ( hd(app('#skF_53',cons('#skF_52','#skF_54'))) = '#skF_56' )
| ( app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_54' )
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_121874,c_126877]) ).
tff(c_127080,plain,
~ ssList(app('#skF_53',cons('#skF_52','#skF_54'))),
inference(splitLeft,[status(thm)],[c_127058]) ).
tff(c_127083,plain,
( ~ ssList(cons('#skF_52','#skF_54'))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_127080]) ).
tff(c_127086,plain,
~ ssList(cons('#skF_52','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_127083]) ).
tff(c_127089,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(resolution,[status(thm)],[c_166,c_127086]) ).
tff(c_127093,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_127089]) ).
tff(c_127095,plain,
ssList(app('#skF_53',cons('#skF_52','#skF_54'))),
inference(splitRight,[status(thm)],[c_127058]) ).
tff(c_127122,plain,
app(app('#skF_53',cons('#skF_52','#skF_54')),'#skF_54') = app('#skF_53',cons('#skF_52','#skF_54')),
inference(resolution,[status(thm)],[c_127095,c_121683]) ).
tff(c_127138,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_121677,c_127122]) ).
tff(c_126705,plain,
! [U_1081,V_1083] :
( ( hd(app(U_1081,V_1083)) = hd(U_1081) )
| ( U_1081 = '#skF_54' )
| ~ ssList(V_1083)
| ~ ssList(U_1081) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_358]) ).
tff(c_127148,plain,
( ( hd('#skF_53') = hd('#skF_50') )
| ( '#skF_54' = '#skF_53' )
| ~ ssList(cons('#skF_52','#skF_54'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_127138,c_126705]) ).
tff(c_127159,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( '#skF_54' = '#skF_53' )
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_121619,c_121874,c_127148]) ).
tff(c_127160,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(negUnitSimplification,[status(thm)],[c_121665,c_127159]) ).
tff(c_127169,plain,
~ ssList(cons('#skF_52','#skF_54')),
inference(splitLeft,[status(thm)],[c_127160]) ).
tff(c_127226,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_54') ),
inference(resolution,[status(thm)],[c_166,c_127169]) ).
tff(c_127230,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_127226]) ).
tff(c_127232,plain,
ssList(cons('#skF_52','#skF_54')),
inference(splitRight,[status(thm)],[c_127160]) ).
tff(c_128668,plain,
! [V_3584,W_3585] :
( frontsegP(app(V_3584,W_3585),V_3584)
| ~ ssList(W_3585)
| ~ ssList(V_3584)
| ~ ssList(app(V_3584,W_3585)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_128691,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_127138,c_128668]) ).
tff(c_128877,plain,
frontsegP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_127138,c_392,c_127232,c_128691]) ).
tff(c_127231,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(splitRight,[status(thm)],[c_127160]) ).
tff(c_124218,plain,
! [U_3475] :
( ( cons(hd(U_3475),tl(U_3475)) = U_3475 )
| ( U_3475 = '#skF_54' )
| ~ ssList(U_3475) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_340]) ).
tff(c_124267,plain,
( ( cons(hd('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53' )
| ( '#skF_54' = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_121503,c_124218]) ).
tff(c_124294,plain,
( ( cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53' )
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_121619,c_124267]) ).
tff(c_124295,plain,
cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_121665,c_124294]) ).
tff(c_127234,plain,
cons('#skF_56','#skF_47'('#skF_53')) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_127231,c_124295]) ).
tff(c_127358,plain,
! [V_3569,U_3570] :
( ( app(cons(V_3569,'#skF_54'),U_3570) = cons(V_3569,U_3570) )
| ~ ssItem(V_3569)
| ~ ssList(U_3570) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_346]) ).
tff(c_127383,plain,
! [U_3570] :
( ( cons('#skF_56',U_3570) = app('#skF_50',U_3570) )
| ~ ssItem('#skF_56')
| ~ ssList(U_3570) ),
inference(superposition,[status(thm),theory(equality)],[c_121693,c_127358]) ).
tff(c_127390,plain,
! [U_3571] :
( ( cons('#skF_56',U_3571) = app('#skF_50',U_3571) )
| ~ ssList(U_3571) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_127383]) ).
tff(c_127426,plain,
cons('#skF_56','#skF_47'('#skF_53')) = app('#skF_50','#skF_47'('#skF_53')),
inference(resolution,[status(thm)],[c_122227,c_127390]) ).
tff(c_127520,plain,
app('#skF_50','#skF_47'('#skF_53')) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_127234,c_127426]) ).
tff(c_128685,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_127520,c_128668]) ).
tff(c_128875,plain,
frontsegP('#skF_53','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_127520,c_402,c_122227,c_128685]) ).
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_129127,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53')
| ~ ssList('#skF_53')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_128875,c_234]) ).
tff(c_129130,plain,
'#skF_53' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_392,c_128877,c_129127]) ).
tff(c_280,plain,
! [U_1032] :
( cyclefreeP(cons(U_1032,nil))
| ~ ssItem(U_1032) ),
inference(cnfTransformation,[status(thm)],[f_696]) ).
tff(c_121694,plain,
! [U_1032] :
( cyclefreeP(cons(U_1032,'#skF_54'))
| ~ ssItem(U_1032) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_280]) ).
tff(c_123186,plain,
! [U_3442] :
( cyclefreeP(U_3442)
| ~ ssItem('#skF_5'(U_3442))
| ~ singletonP(U_3442)
| ~ ssList(U_3442) ),
inference(superposition,[status(thm),theory(equality)],[c_122685,c_121694]) ).
tff(c_123191,plain,
! [U_3443] :
( cyclefreeP(U_3443)
| ~ singletonP(U_3443)
| ~ ssList(U_3443) ),
inference(resolution,[status(thm)],[c_24,c_123186]) ).
tff(c_123308,plain,
( cyclefreeP('#skF_53')
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_392,c_123191]) ).
tff(c_123314,plain,
~ singletonP('#skF_53'),
inference(splitLeft,[status(thm)],[c_123308]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_122350,plain,
! [U_3408] :
( ssItem(hd(U_3408))
| ( U_3408 = '#skF_54' )
| ~ ssList(U_3408) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_184]) ).
tff(c_122359,plain,
( ssItem('#skF_46'('#skF_53'))
| ( '#skF_54' = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_121619,c_122350]) ).
tff(c_122367,plain,
( ssItem('#skF_46'('#skF_53'))
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_122359]) ).
tff(c_122368,plain,
ssItem('#skF_46'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_121665,c_122367]) ).
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_122420,plain,
! [U_3415] :
( ( hd(U_3415) = '#skF_46'(U_3415) )
| ( U_3415 = '#skF_54' )
| ~ ssList(U_3415) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_330]) ).
tff(c_122516,plain,
( ( hd('#skF_47'('#skF_53')) = '#skF_46'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_122227,c_122420]) ).
tff(c_123853,plain,
'#skF_47'('#skF_53') = '#skF_54',
inference(splitLeft,[status(thm)],[c_122516]) ).
tff(c_123860,plain,
tl('#skF_53') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_123853,c_121503]) ).
tff(c_123917,plain,
! [U_3471] :
( ( cons(hd(U_3471),tl(U_3471)) = U_3471 )
| ( U_3471 = '#skF_54' )
| ~ ssList(U_3471) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_340]) ).
tff(c_123960,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( '#skF_54' = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_121619,c_123917]) ).
tff(c_123981,plain,
( ( cons('#skF_46'('#skF_53'),'#skF_54') = '#skF_53' )
| ( '#skF_54' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_123860,c_123960]) ).
tff(c_123982,plain,
cons('#skF_46'('#skF_53'),'#skF_54') = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_121665,c_123981]) ).
tff(c_123986,plain,
! [V_33] :
( singletonP(cons(V_33,'#skF_54'))
| ~ ssItem(V_33)
| ~ ssList(cons(V_33,'#skF_54')) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_121663,c_20]) ).
tff(c_124079,plain,
( singletonP(cons('#skF_46'('#skF_53'),'#skF_54'))
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_123982,c_123986]) ).
tff(c_124120,plain,
singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_122368,c_123982,c_124079]) ).
tff(c_124122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123314,c_124120]) ).
tff(c_124124,plain,
'#skF_47'('#skF_53') != '#skF_54',
inference(splitRight,[status(thm)],[c_122516]) ).
tff(c_122247,plain,
app('#skF_47'('#skF_53'),'#skF_54') = '#skF_47'('#skF_53'),
inference(resolution,[status(thm)],[c_122227,c_121683]) ).
tff(c_128360,plain,
( rearsegP('#skF_47'('#skF_53'),'#skF_54')
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_47'('#skF_53'),'#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_122247,c_128190]) ).
tff(c_128495,plain,
rearsegP('#skF_47'('#skF_53'),'#skF_54'),
inference(demodulation,[status(thm),theory(equality)],[c_122227,c_122247,c_390,c_122227,c_128360]) ).
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_128592,plain,
( ( '#skF_47'('#skF_53') = '#skF_54' )
| ~ rearsegP('#skF_54','#skF_47'('#skF_53'))
| ~ ssList('#skF_47'('#skF_53'))
| ~ ssList('#skF_54') ),
inference(resolution,[status(thm)],[c_128495,c_254]) ).
tff(c_128595,plain,
( ( '#skF_47'('#skF_53') = '#skF_54' )
| ~ rearsegP('#skF_54','#skF_47'('#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_122227,c_128592]) ).
tff(c_128596,plain,
~ rearsegP('#skF_54','#skF_47'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_124124,c_128595]) ).
tff(c_129173,plain,
~ rearsegP('#skF_54','#skF_47'('#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_129130,c_128596]) ).
tff(c_129251,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_128507,c_122767,c_129173]) ).
tff(c_129253,plain,
singletonP('#skF_53'),
inference(splitRight,[status(thm)],[c_123308]) ).
tff(c_122684,plain,
! [U_30] :
( ( cons('#skF_5'(U_30),'#skF_54') = U_30 )
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(demodulation,[status(thm),theory(equality)],[c_121663,c_22]) ).
tff(c_122758,plain,
! [U_30] :
( ( tl(U_30) = '#skF_54' )
| ~ ssItem('#skF_5'(U_30))
| ~ ssList('#skF_54')
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(superposition,[status(thm),theory(equality)],[c_122684,c_122746]) ).
tff(c_150530,plain,
! [U_4002] :
( ( tl(U_4002) = '#skF_54' )
| ~ ssItem('#skF_5'(U_4002))
| ~ singletonP(U_4002)
| ~ ssList(U_4002) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_122758]) ).
tff(c_150552,plain,
! [U_4004] :
( ( tl(U_4004) = '#skF_54' )
| ~ singletonP(U_4004)
| ~ ssList(U_4004) ),
inference(resolution,[status(thm)],[c_24,c_150530]) ).
tff(c_150678,plain,
( ( tl('#skF_53') = '#skF_54' )
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_392,c_150552]) ).
tff(c_150746,plain,
'#skF_47'('#skF_53') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_129253,c_121503,c_150678]) ).
tff(c_150748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133061,c_150746]) ).
tff(c_150750,plain,
nil != '#skF_54',
inference(splitRight,[status(thm)],[c_121145]) ).
tff(c_121620,plain,
( ( hd('#skF_54') = '#skF_46'('#skF_54') )
| ( nil = '#skF_54' ) ),
inference(resolution,[status(thm)],[c_390,c_121505]) ).
tff(c_150880,plain,
hd('#skF_54') = '#skF_46'('#skF_54'),
inference(negUnitSimplification,[status(thm)],[c_150750,c_121620]) ).
tff(c_150884,plain,
( ssItem('#skF_46'('#skF_54'))
| ( nil = '#skF_54' )
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_150880,c_184]) ).
tff(c_150888,plain,
( ssItem('#skF_46'('#skF_54'))
| ( nil = '#skF_54' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_150884]) ).
tff(c_150889,plain,
ssItem('#skF_46'('#skF_54')),
inference(negUnitSimplification,[status(thm)],[c_150750,c_150888]) ).
tff(c_150749,plain,
tl('#skF_54') = '#skF_47'('#skF_54'),
inference(splitRight,[status(thm)],[c_121145]) ).
tff(c_150894,plain,
( ssList('#skF_47'('#skF_54'))
| ( nil = '#skF_54' )
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_150749,c_188]) ).
tff(c_150898,plain,
( ssList('#skF_47'('#skF_54'))
| ( nil = '#skF_54' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_150894]) ).
tff(c_150899,plain,
ssList('#skF_47'('#skF_54')),
inference(negUnitSimplification,[status(thm)],[c_150750,c_150898]) ).
tff(c_187725,plain,
! [U_4515] :
( ( cons(hd(U_4515),tl(U_4515)) = U_4515 )
| ( nil = U_4515 )
| ~ ssList(U_4515) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_187777,plain,
( ( cons('#skF_46'('#skF_54'),tl('#skF_54')) = '#skF_54' )
| ( nil = '#skF_54' )
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_150880,c_187725]) ).
tff(c_187810,plain,
( ( cons('#skF_46'('#skF_54'),'#skF_47'('#skF_54')) = '#skF_54' )
| ( nil = '#skF_54' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_150749,c_187777]) ).
tff(c_187811,plain,
cons('#skF_46'('#skF_54'),'#skF_47'('#skF_54')) = '#skF_54',
inference(negUnitSimplification,[status(thm)],[c_150750,c_187810]) ).
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_188005,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_187811,c_226]) ).
tff(c_188021,plain,
memberP('#skF_54','#skF_46'('#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_150889,c_150899,c_188005]) ).
tff(c_151166,plain,
! [V_4026,U_4027] :
( ( hd(cons(V_4026,U_4027)) = V_4026 )
| ~ ssItem(V_4026)
| ~ ssList(U_4027) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_151181,plain,
( ( hd('#skF_50') = '#skF_56' )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_151166]) ).
tff(c_151187,plain,
'#skF_46'('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_121628,c_151181]) ).
tff(c_151189,plain,
hd('#skF_50') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_151187,c_121628]) ).
tff(c_190997,plain,
! [U_4615,V_4616] :
( ( hd(app(U_4615,V_4616)) = hd(U_4615) )
| ( nil = U_4615 )
| ~ ssList(V_4616)
| ~ ssList(U_4615) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_191183,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_425,c_190997]) ).
tff(c_191382,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_390,c_151189,c_191183]) ).
tff(c_191596,plain,
~ ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitLeft,[status(thm)],[c_191382]) ).
tff(c_191599,plain,
( ~ ssList(cons('#skF_52',nil))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_191596]) ).
tff(c_191602,plain,
~ ssList(cons('#skF_52',nil)),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_191599]) ).
tff(c_191605,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_191602]) ).
tff(c_191609,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_394,c_191605]) ).
tff(c_191611,plain,
ssList(app('#skF_53',cons('#skF_52',nil))),
inference(splitRight,[status(thm)],[c_191382]) ).
tff(c_193911,plain,
! [W_4643,U_4644,V_4645] :
( ~ memberP(W_4643,U_4644)
| memberP(app(V_4645,W_4643),U_4644)
| ~ ssList(W_4643)
| ~ ssList(V_4645)
| ~ ssItem(U_4644) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_194103,plain,
! [U_4644] :
( ~ memberP('#skF_54',U_4644)
| memberP('#skF_50',U_4644)
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52',nil)))
| ~ ssItem(U_4644) ),
inference(superposition,[status(thm),theory(equality)],[c_425,c_193911]) ).
tff(c_194287,plain,
! [U_4646] :
( ~ memberP('#skF_54',U_4646)
| memberP('#skF_50',U_4646)
| ~ ssItem(U_4646) ),
inference(demodulation,[status(thm),theory(equality)],[c_191611,c_390,c_194103]) ).
tff(c_194290,plain,
( memberP('#skF_50','#skF_46'('#skF_54'))
| ~ ssItem('#skF_46'('#skF_54')) ),
inference(resolution,[status(thm)],[c_188021,c_194287]) ).
tff(c_194293,plain,
memberP('#skF_50','#skF_46'('#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_150889,c_194290]) ).
tff(c_200489,plain,
! [W_4721,U_4722,V_4723] :
( memberP(W_4721,U_4722)
| ( V_4723 = U_4722 )
| ~ memberP(cons(V_4723,W_4721),U_4722)
| ~ ssList(W_4721)
| ~ ssItem(V_4723)
| ~ ssItem(U_4722) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_200537,plain,
! [U_4722] :
( memberP(nil,U_4722)
| ( U_4722 = '#skF_56' )
| ~ memberP('#skF_50',U_4722)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_4722) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_200489]) ).
tff(c_213593,plain,
! [U_4871] :
( memberP(nil,U_4871)
| ( U_4871 = '#skF_56' )
| ~ memberP('#skF_50',U_4871)
| ~ ssItem(U_4871) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_200537]) ).
tff(c_213986,plain,
! [U_4875] :
( ( U_4875 = '#skF_56' )
| ~ memberP('#skF_50',U_4875)
| ~ ssItem(U_4875) ),
inference(resolution,[status(thm)],[c_213593,c_228]) ).
tff(c_213995,plain,
( ( '#skF_46'('#skF_54') = '#skF_56' )
| ~ ssItem('#skF_46'('#skF_54')) ),
inference(resolution,[status(thm)],[c_194293,c_213986]) ).
tff(c_214007,plain,
'#skF_46'('#skF_54') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_150889,c_213995]) ).
tff(c_214028,plain,
memberP('#skF_54','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_214007,c_188021]) ).
tff(c_150764,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_121619,c_184]) ).
tff(c_150768,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_150764]) ).
tff(c_150769,plain,
ssItem('#skF_46'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_121504,c_150768]) ).
tff(c_150849,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_121503,c_188]) ).
tff(c_150853,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_150849]) ).
tff(c_150854,plain,
ssList('#skF_47'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_121504,c_150853]) ).
tff(c_150874,plain,
( ( hd('#skF_47'('#skF_53')) = '#skF_46'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = nil ) ),
inference(resolution,[status(thm)],[c_150854,c_330]) ).
tff(c_187504,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_150874]) ).
tff(c_187510,plain,
tl('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_187504,c_121503]) ).
tff(c_187780,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_121619,c_187725]) ).
tff(c_187813,plain,
( ( cons('#skF_46'('#skF_53'),nil) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_187510,c_187780]) ).
tff(c_187814,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_121504,c_187813]) ).
tff(c_201592,plain,
! [X_4741,W_4742,V_4743,U_4744] :
( ( X_4741 = W_4742 )
| ( cons(X_4741,V_4743) != cons(W_4742,U_4744) )
| ~ ssItem(X_4741)
| ~ ssItem(W_4742)
| ~ ssList(V_4743)
| ~ ssList(U_4744) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_201652,plain,
! [X_4741,V_4743] :
( ( X_4741 = '#skF_56' )
| ( cons(X_4741,V_4743) != '#skF_50' )
| ~ ssItem(X_4741)
| ~ ssItem('#skF_56')
| ~ ssList(V_4743)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_201592]) ).
tff(c_202669,plain,
! [X_4751,V_4752] :
( ( X_4751 = '#skF_56' )
| ( cons(X_4751,V_4752) != '#skF_50' )
| ~ ssItem(X_4751)
| ~ ssList(V_4752) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_201652]) ).
tff(c_202691,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_187814,c_202669]) ).
tff(c_202721,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( '#skF_53' != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_150769,c_202691]) ).
tff(c_202731,plain,
'#skF_53' != '#skF_50',
inference(splitLeft,[status(thm)],[c_202721]) ).
tff(c_190243,plain,
! [V_4608,U_4609] :
( ( app(cons(V_4608,nil),U_4609) = cons(V_4608,U_4609) )
| ~ ssItem(V_4608)
| ~ ssList(U_4609) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_190268,plain,
! [U_4609] :
( ( cons('#skF_56',U_4609) = app('#skF_50',U_4609) )
| ~ ssItem('#skF_56')
| ~ ssList(U_4609) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_190243]) ).
tff(c_190277,plain,
! [U_4610] :
( ( cons('#skF_56',U_4610) = app('#skF_50',U_4610) )
| ~ ssList(U_4610) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_190268]) ).
tff(c_190430,plain,
cons('#skF_56','#skF_54') = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_390,c_190277]) ).
tff(c_190536,plain,
( ssList(app('#skF_50','#skF_54'))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_190430,c_166]) ).
tff(c_190553,plain,
ssList(app('#skF_50','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5272,c_190536]) ).
tff(c_205890,plain,
! [W_4789,V_4790,X_4791] :
( segmentP(app(app(W_4789,V_4790),X_4791),V_4790)
| ~ ssList(X_4791)
| ~ ssList(W_4789)
| ~ ssList(V_4790)
| ~ ssList(app(app(W_4789,V_4790),X_4791)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_206135,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_425,c_205890]) ).
tff(c_206298,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_425,c_392,c_390,c_206135]) ).
tff(c_206350,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_206298]) ).
tff(c_206353,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_206350]) ).
tff(c_206357,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_394,c_206353]) ).
tff(c_206359,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_206298]) ).
tff(c_202087,plain,
! [U_4748,V_4749,W_4750] :
( ( app(app(U_4748,V_4749),W_4750) = app(U_4748,app(V_4749,W_4750)) )
| ~ ssList(W_4750)
| ~ ssList(V_4749)
| ~ ssList(U_4748) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_202437,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_425,c_202087]) ).
tff(c_202650,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_392,c_390,c_202437]) ).
tff(c_211862,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_206359,c_202650]) ).
tff(c_211924,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_211862]) ).
tff(c_211972,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_211924]) ).
tff(c_212013,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_211972,c_12]) ).
tff(c_212083,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_211972,c_394,c_392,c_390,c_212013]) ).
tff(c_203989,plain,
! [U_4769] :
( memberP(nil,U_4769)
| ( U_4769 = '#skF_56' )
| ~ memberP('#skF_50',U_4769)
| ~ ssItem(U_4769) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_200537]) ).
tff(c_203993,plain,
! [U_4769] :
( ( U_4769 = '#skF_56' )
| ~ memberP('#skF_50',U_4769)
| ~ ssItem(U_4769) ),
inference(resolution,[status(thm)],[c_203989,c_228]) ).
tff(c_212129,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_212083,c_203993]) ).
tff(c_212132,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_212129]) ).
tff(c_203643,plain,
! [V_4764,U_4765,W_4766,X_4767] :
( ( V_4764 = U_4765 )
| ~ frontsegP(cons(U_4765,W_4766),cons(V_4764,X_4767))
| ~ ssList(X_4767)
| ~ ssList(W_4766)
| ~ ssItem(V_4764)
| ~ ssItem(U_4765) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_203739,plain,
! [V_4764,X_4767] :
( ( V_4764 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_4764,X_4767))
| ~ ssList(X_4767)
| ~ ssList(nil)
| ~ ssItem(V_4764)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_203643]) ).
tff(c_210926,plain,
! [V_4847,X_4848] :
( ( V_4847 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_4847,X_4848))
| ~ ssList(X_4848)
| ~ ssItem(V_4847) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_203739]) ).
tff(c_210965,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50','#skF_53')
| ~ ssList(nil)
| ~ ssItem('#skF_46'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_187814,c_210926]) ).
tff(c_211008,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50','#skF_53') ),
inference(demodulation,[status(thm),theory(equality)],[c_150769,c_168,c_210965]) ).
tff(c_211151,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(splitLeft,[status(thm)],[c_211008]) ).
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_212057,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_211972,c_26]) ).
tff(c_212114,plain,
( frontsegP('#skF_50','#skF_53')
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_211972,c_392,c_212057]) ).
tff(c_212115,plain,
~ ssList(cons('#skF_52','#skF_54')),
inference(negUnitSimplification,[status(thm)],[c_211151,c_212114]) ).
tff(c_212420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190553,c_190430,c_212132,c_212115]) ).
tff(c_212421,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(splitRight,[status(thm)],[c_211008]) ).
tff(c_212439,plain,
cons('#skF_56',nil) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_212421,c_187814]) ).
tff(c_212443,plain,
'#skF_53' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_120388,c_212439]) ).
tff(c_212445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202731,c_212443]) ).
tff(c_212447,plain,
'#skF_53' = '#skF_50',
inference(splitRight,[status(thm)],[c_202721]) ).
tff(c_212531,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_212447,c_120385]) ).
tff(c_213989,plain,
( ( '#skF_55' = '#skF_56' )
| ~ ssItem('#skF_55') ),
inference(resolution,[status(thm)],[c_212531,c_213986]) ).
tff(c_214001,plain,
'#skF_55' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_386,c_213989]) ).
tff(c_120386,plain,
~ memberP('#skF_54','#skF_55'),
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_214017,plain,
~ memberP('#skF_54','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_214001,c_120386]) ).
tff(c_214091,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_214028,c_214017]) ).
tff(c_214093,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_150874]) ).
tff(c_120493,plain,
app('#skF_50',nil) = '#skF_50',
inference(resolution,[status(thm)],[c_402,c_120472]) ).
tff(c_158957,plain,
! [V_4206,W_4207] :
( frontsegP(app(V_4206,W_4207),V_4206)
| ~ ssList(W_4207)
| ~ ssList(V_4206)
| ~ ssList(app(V_4206,W_4207)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_159145,plain,
( frontsegP('#skF_50','#skF_50')
| ~ ssList(nil)
| ~ ssList('#skF_50')
| ~ ssList(app('#skF_50',nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_120493,c_158957]) ).
tff(c_159284,plain,
frontsegP('#skF_50','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_120493,c_402,c_168,c_159145]) ).
tff(c_151034,plain,
! [V_4014,U_4015] :
( ( tl(cons(V_4014,U_4015)) = U_4015 )
| ~ ssItem(V_4014)
| ~ ssList(U_4015) ),
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_151046,plain,
( ( tl('#skF_50') = nil )
| ~ ssItem('#skF_56')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_151034]) ).
tff(c_151050,plain,
'#skF_47'('#skF_50') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_121153,c_151046]) ).
tff(c_156794,plain,
! [V_4187,U_4188] :
( ( app(cons(V_4187,nil),U_4188) = cons(V_4187,U_4188) )
| ~ ssItem(V_4187)
| ~ ssList(U_4188) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_156816,plain,
! [U_4188] :
( ( cons('#skF_56',U_4188) = app('#skF_50',U_4188) )
| ~ ssItem('#skF_56')
| ~ ssList(U_4188) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_156794]) ).
tff(c_156823,plain,
! [U_4189] :
( ( cons('#skF_56',U_4189) = app('#skF_50',U_4189) )
| ~ ssList(U_4189) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_156816]) ).
tff(c_156988,plain,
cons('#skF_56','#skF_54') = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_390,c_156823]) ).
tff(c_157094,plain,
( ssList(app('#skF_50','#skF_54'))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_156988,c_166]) ).
tff(c_157111,plain,
ssList(app('#skF_50','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5272,c_157094]) ).
tff(c_173388,plain,
! [W_4364,V_4365,X_4366] :
( segmentP(app(app(W_4364,V_4365),X_4366),V_4365)
| ~ ssList(X_4366)
| ~ ssList(W_4364)
| ~ ssList(V_4365)
| ~ ssList(app(app(W_4364,V_4365),X_4366)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_173672,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_425,c_173388]) ).
tff(c_173845,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_425,c_392,c_390,c_173672]) ).
tff(c_174162,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_173845]) ).
tff(c_174165,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_174162]) ).
tff(c_174169,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_394,c_174165]) ).
tff(c_174171,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_173845]) ).
tff(c_167998,plain,
! [U_4310,V_4311,W_4312] :
( ( app(app(U_4310,V_4311),W_4312) = app(U_4310,app(V_4311,W_4312)) )
| ~ ssList(W_4312)
| ~ ssList(V_4311)
| ~ ssList(U_4310) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_168149,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_167998,c_425]) ).
tff(c_168447,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_392,c_390,c_168149]) ).
tff(c_184871,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_174171,c_168447]) ).
tff(c_184936,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_184871]) ).
tff(c_184987,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_184936]) ).
tff(c_185018,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_184987,c_12]) ).
tff(c_185088,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_184987,c_394,c_392,c_390,c_185018]) ).
tff(c_168681,plain,
! [W_4314,U_4315,V_4316] :
( memberP(W_4314,U_4315)
| ( V_4316 = U_4315 )
| ~ memberP(cons(V_4316,W_4314),U_4315)
| ~ ssList(W_4314)
| ~ ssItem(V_4316)
| ~ ssItem(U_4315) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_168735,plain,
! [U_4315] :
( memberP(nil,U_4315)
| ( U_4315 = '#skF_56' )
| ~ memberP('#skF_50',U_4315)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_4315) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_168681]) ).
tff(c_168964,plain,
! [U_4322] :
( memberP(nil,U_4322)
| ( U_4322 = '#skF_56' )
| ~ memberP('#skF_50',U_4322)
| ~ ssItem(U_4322) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_168735]) ).
tff(c_168968,plain,
! [U_4322] :
( ( U_4322 = '#skF_56' )
| ~ memberP('#skF_50',U_4322)
| ~ ssItem(U_4322) ),
inference(resolution,[status(thm)],[c_168964,c_228]) ).
tff(c_185131,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_185088,c_168968]) ).
tff(c_185134,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_185131]) ).
tff(c_153066,plain,
! [U_4081] :
( ( cons(hd(U_4081),tl(U_4081)) = U_4081 )
| ( nil = U_4081 )
| ~ ssList(U_4081) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_153115,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_121619,c_153066]) ).
tff(c_153142,plain,
( ( cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_121503,c_153115]) ).
tff(c_153143,plain,
cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_121504,c_153142]) ).
tff(c_168847,plain,
! [X_4318,W_4319,V_4320,U_4321] :
( ( X_4318 = W_4319 )
| ( cons(X_4318,V_4320) != cons(W_4319,U_4321) )
| ~ ssItem(X_4318)
| ~ ssItem(W_4319)
| ~ ssList(V_4320)
| ~ ssList(U_4321) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_168911,plain,
! [X_4318,V_4320] :
( ( X_4318 = '#skF_56' )
| ( cons(X_4318,V_4320) != '#skF_50' )
| ~ ssItem(X_4318)
| ~ ssItem('#skF_56')
| ~ ssList(V_4320)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_168847]) ).
tff(c_169027,plain,
! [X_4325,V_4326] :
( ( X_4325 = '#skF_56' )
| ( cons(X_4325,V_4326) != '#skF_50' )
| ~ ssItem(X_4325)
| ~ ssList(V_4326) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_168911]) ).
tff(c_169049,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_153143,c_169027]) ).
tff(c_169077,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( '#skF_53' != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150854,c_150769,c_169049]) ).
tff(c_169088,plain,
'#skF_53' != '#skF_50',
inference(splitLeft,[status(thm)],[c_169077]) ).
tff(c_169887,plain,
! [V_4334,U_4335,W_4336,X_4337] :
( ( V_4334 = U_4335 )
| ~ frontsegP(cons(U_4335,W_4336),cons(V_4334,X_4337))
| ~ ssList(X_4337)
| ~ ssList(W_4336)
| ~ ssItem(V_4334)
| ~ ssItem(U_4335) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_169980,plain,
! [U_4335,W_4336] :
( ( U_4335 = '#skF_56' )
| ~ frontsegP(cons(U_4335,W_4336),'#skF_50')
| ~ ssList(nil)
| ~ ssList(W_4336)
| ~ ssItem('#skF_56')
| ~ ssItem(U_4335) ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_169887]) ).
tff(c_178503,plain,
! [U_4412,W_4413] :
( ( U_4412 = '#skF_56' )
| ~ frontsegP(cons(U_4412,W_4413),'#skF_50')
| ~ ssList(W_4413)
| ~ ssItem(U_4412) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_169980]) ).
tff(c_178548,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_153143,c_178503]) ).
tff(c_178597,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_53','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_150769,c_150854,c_178548]) ).
tff(c_178734,plain,
~ frontsegP('#skF_53','#skF_50'),
inference(splitLeft,[status(thm)],[c_178597]) ).
tff(c_156962,plain,
cons('#skF_56','#skF_47'('#skF_53')) = app('#skF_50','#skF_47'('#skF_53')),
inference(resolution,[status(thm)],[c_150854,c_156823]) ).
tff(c_180500,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_174171,c_168447]) ).
tff(c_180559,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_180500]) ).
tff(c_180606,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_180559]) ).
tff(c_180631,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_180606,c_12]) ).
tff(c_180697,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_180606,c_394,c_392,c_390,c_180631]) ).
tff(c_180741,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_180697,c_168968]) ).
tff(c_180744,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_180741]) ).
tff(c_180672,plain,
( ( hd('#skF_53') = hd('#skF_50') )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52','#skF_54'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_180606,c_358]) ).
tff(c_180728,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ( nil = '#skF_53' )
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_121619,c_151189,c_180672]) ).
tff(c_180729,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(negUnitSimplification,[status(thm)],[c_121504,c_180728]) ).
tff(c_180738,plain,
~ ssList(cons('#skF_52','#skF_54')),
inference(splitLeft,[status(thm)],[c_180729]) ).
tff(c_180984,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_157111,c_156988,c_180744,c_180738]) ).
tff(c_180985,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(splitRight,[status(thm)],[c_180729]) ).
tff(c_181086,plain,
hd('#skF_53') = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_180985,c_121619]) ).
tff(c_181114,plain,
( ( cons('#skF_56',tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_181086,c_340]) ).
tff(c_181133,plain,
( ( app('#skF_50','#skF_47'('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_156962,c_121503,c_181114]) ).
tff(c_181134,plain,
app('#skF_50','#skF_47'('#skF_53')) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_121504,c_181133]) ).
tff(c_150879,plain,
app(nil,'#skF_47'('#skF_53')) = '#skF_47'('#skF_53'),
inference(resolution,[status(thm)],[c_150854,c_196]) ).
tff(c_159124,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_150879,c_158957]) ).
tff(c_159270,plain,
frontsegP('#skF_47'('#skF_53'),nil),
inference(demodulation,[status(thm),theory(equality)],[c_150854,c_150879,c_168,c_150854,c_159124]) ).
tff(c_166206,plain,
! [V_4291,W_4292,X_4293] :
( frontsegP(cons(V_4291,W_4292),cons(V_4291,X_4293))
| ~ frontsegP(W_4292,X_4293)
| ~ ssList(X_4293)
| ~ ssList(W_4292)
| ~ ssItem(V_4291) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_166300,plain,
! [W_4292] :
( frontsegP(cons('#skF_56',W_4292),'#skF_50')
| ~ frontsegP(W_4292,nil)
| ~ ssList(nil)
| ~ ssList(W_4292)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_120388,c_166206]) ).
tff(c_168585,plain,
! [W_4313] :
( frontsegP(cons('#skF_56',W_4313),'#skF_50')
| ~ frontsegP(W_4313,nil)
| ~ ssList(W_4313) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_166300]) ).
tff(c_168599,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_156962,c_168585]) ).
tff(c_168626,plain,
frontsegP(app('#skF_50','#skF_47'('#skF_53')),'#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_150854,c_159270,c_168599]) ).
tff(c_181189,plain,
frontsegP('#skF_53','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_181134,c_168626]) ).
tff(c_181212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_178734,c_181189]) ).
tff(c_181214,plain,
frontsegP('#skF_53','#skF_50'),
inference(splitRight,[status(thm)],[c_178597]) ).
tff(c_181235,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53')
| ~ ssList('#skF_53')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_181214,c_234]) ).
tff(c_181241,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53') ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_392,c_181235]) ).
tff(c_181242,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_169088,c_181241]) ).
tff(c_185053,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_184987,c_26]) ).
tff(c_185114,plain,
( frontsegP('#skF_50','#skF_53')
| ~ ssList(cons('#skF_52','#skF_54')) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_184987,c_392,c_185053]) ).
tff(c_185115,plain,
~ ssList(cons('#skF_52','#skF_54')),
inference(negUnitSimplification,[status(thm)],[c_181242,c_185114]) ).
tff(c_185518,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_157111,c_156988,c_185134,c_185115]) ).
tff(c_185520,plain,
'#skF_53' = '#skF_50',
inference(splitRight,[status(thm)],[c_169077]) ).
tff(c_151092,plain,
! [U_4019] :
( ( cons('#skF_5'(U_4019),nil) = U_4019 )
| ~ singletonP(U_4019)
| ~ ssList(U_4019) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_151328,plain,
! [U_4034] :
( cyclefreeP(U_4034)
| ~ ssItem('#skF_5'(U_4034))
| ~ singletonP(U_4034)
| ~ ssList(U_4034) ),
inference(superposition,[status(thm),theory(equality)],[c_151092,c_280]) ).
tff(c_151346,plain,
! [U_4037] :
( cyclefreeP(U_4037)
| ~ singletonP(U_4037)
| ~ ssList(U_4037) ),
inference(resolution,[status(thm)],[c_24,c_151328]) ).
tff(c_151470,plain,
( cyclefreeP('#skF_53')
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_392,c_151346]) ).
tff(c_151477,plain,
~ singletonP('#skF_53'),
inference(splitLeft,[status(thm)],[c_151470]) ).
tff(c_150875,plain,
( ( tl('#skF_47'('#skF_53')) = '#skF_47'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = nil ) ),
inference(resolution,[status(thm)],[c_150854,c_334]) ).
tff(c_153454,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_150875]) ).
tff(c_153456,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_153454,c_153143]) ).
tff(c_153753,plain,
! [V_4094] :
( singletonP(cons(V_4094,nil))
| ~ ssItem(V_4094)
| ~ ssList(cons(V_4094,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_153756,plain,
( singletonP(cons('#skF_46'('#skF_53'),nil))
| ~ ssItem('#skF_46'('#skF_53'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_153456,c_153753]) ).
tff(c_153771,plain,
singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_150769,c_153456,c_153756]) ).
tff(c_153773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151477,c_153771]) ).
tff(c_153775,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_150875]) ).
tff(c_161881,plain,
! [W_4235,U_4236,V_4237] :
( ( W_4235 = U_4236 )
| ( app(V_4237,W_4235) != app(V_4237,U_4236) )
| ~ ssList(W_4235)
| ~ ssList(V_4237)
| ~ ssList(U_4236) ),
inference(cnfTransformation,[status(thm)],[f_827]) ).
tff(c_162133,plain,
! [W_4235] :
( ( nil = W_4235 )
| ( app('#skF_50',W_4235) != '#skF_50' )
| ~ ssList(W_4235)
| ~ ssList('#skF_50')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_120493,c_161881]) ).
tff(c_165853,plain,
! [W_4283] :
( ( nil = W_4283 )
| ( app('#skF_50',W_4283) != '#skF_50' )
| ~ ssList(W_4283) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_402,c_162133]) ).
tff(c_165913,plain,
( ( '#skF_47'('#skF_53') = nil )
| ( app('#skF_50','#skF_47'('#skF_53')) != '#skF_50' ) ),
inference(resolution,[status(thm)],[c_150854,c_165853]) ).
tff(c_166040,plain,
app('#skF_50','#skF_47'('#skF_53')) != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_153775,c_165913]) ).
tff(c_158010,plain,
( ssList(app('#skF_50','#skF_47'('#skF_53')))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_47'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_156962,c_166]) ).
tff(c_158027,plain,
ssList(app('#skF_50','#skF_47'('#skF_53'))),
inference(demodulation,[status(thm),theory(equality)],[c_150854,c_5272,c_158010]) ).
tff(c_168824,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_168626,c_234]) ).
tff(c_168830,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_402,c_158027,c_168824]) ).
tff(c_168831,plain,
~ frontsegP('#skF_50',app('#skF_50','#skF_47'('#skF_53'))),
inference(negUnitSimplification,[status(thm)],[c_166040,c_168830]) ).
tff(c_185521,plain,
~ frontsegP('#skF_50',app('#skF_50','#skF_47'('#skF_50'))),
inference(demodulation,[status(thm),theory(equality)],[c_185520,c_168831]) ).
tff(c_185690,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_159284,c_120493,c_151050,c_185521]) ).
tff(c_185692,plain,
singletonP('#skF_53'),
inference(splitRight,[status(thm)],[c_151470]) ).
tff(c_151098,plain,
! [U_4019] :
( ( tl(U_4019) = nil )
| ~ ssItem('#skF_5'(U_4019))
| ~ ssList(nil)
| ~ singletonP(U_4019)
| ~ ssList(U_4019) ),
inference(superposition,[status(thm),theory(equality)],[c_151092,c_190]) ).
tff(c_215896,plain,
! [U_4922] :
( ( tl(U_4922) = nil )
| ~ ssItem('#skF_5'(U_4922))
| ~ singletonP(U_4922)
| ~ ssList(U_4922) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_151098]) ).
tff(c_215942,plain,
! [U_4925] :
( ( tl(U_4925) = nil )
| ~ singletonP(U_4925)
| ~ ssList(U_4925) ),
inference(resolution,[status(thm)],[c_24,c_215896]) ).
tff(c_216050,plain,
( ( tl('#skF_53') = nil )
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_392,c_215942]) ).
tff(c_216104,plain,
'#skF_47'('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_185692,c_121503,c_216050]) ).
tff(c_216106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_214093,c_216104]) ).
tff(c_216108,plain,
leq('#skF_52','#skF_55'),
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_235493,plain,
leq('#skF_52','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_235476,c_216108]) ).
tff(c_222456,plain,
! [U_5153,V_5154] :
( lt(U_5153,V_5154)
| ~ leq(U_5153,V_5154)
| ( V_5154 = U_5153 )
| ~ ssItem(V_5154)
| ~ ssItem(U_5153) ),
inference(cnfTransformation,[status(thm)],[f_950]) ).
tff(c_212,plain,
! [U_931,V_933] :
( gt(U_931,V_933)
| ~ lt(V_933,U_931)
| ~ ssItem(V_933)
| ~ ssItem(U_931) ),
inference(cnfTransformation,[status(thm)],[f_484]) ).
tff(c_246890,plain,
! [V_5444,U_5445] :
( gt(V_5444,U_5445)
| ~ leq(U_5445,V_5444)
| ( V_5444 = U_5445 )
| ~ ssItem(V_5444)
| ~ ssItem(U_5445) ),
inference(resolution,[status(thm)],[c_222456,c_212]) ).
tff(c_246902,plain,
( gt('#skF_56','#skF_52')
| ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_56')
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_235493,c_246890]) ).
tff(c_246937,plain,
( gt('#skF_56','#skF_52')
| ( '#skF_52' = '#skF_56' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_394,c_5272,c_246902]) ).
tff(c_246948,plain,
'#skF_52' = '#skF_56',
inference(splitLeft,[status(thm)],[c_246937]) ).
tff(c_216107,plain,
~ leq('#skF_55','#skF_52'),
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_235494,plain,
~ leq('#skF_56','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_235476,c_216107]) ).
tff(c_246979,plain,
~ leq('#skF_56','#skF_56'),
inference(demodulation,[status(thm),theory(equality)],[c_246948,c_235494]) ).
tff(c_247013,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_237775,c_246979]) ).
tff(c_247015,plain,
'#skF_52' != '#skF_56',
inference(splitRight,[status(thm)],[c_246937]) ).
tff(c_238199,plain,
! [W_5360,V_5361,X_5362] :
( segmentP(app(app(W_5360,V_5361),X_5362),V_5361)
| ~ ssList(X_5362)
| ~ ssList(W_5360)
| ~ ssList(V_5361)
| ~ ssList(app(app(W_5360,V_5361),X_5362)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_238444,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_425,c_238199]) ).
tff(c_238595,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_425,c_392,c_390,c_238444]) ).
tff(c_238647,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_238595]) ).
tff(c_238650,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_238647]) ).
tff(c_238654,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_394,c_238650]) ).
tff(c_238656,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_238595]) ).
tff(c_234385,plain,
! [U_5304,V_5305,W_5306] :
( ( app(app(U_5304,V_5305),W_5306) = app(U_5304,app(V_5305,W_5306)) )
| ~ ssList(W_5306)
| ~ ssList(V_5305)
| ~ ssList(U_5304) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_234539,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_234385,c_425]) ).
tff(c_234833,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_392,c_390,c_234539]) ).
tff(c_249011,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_238656,c_234833]) ).
tff(c_249076,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_249011]) ).
tff(c_249126,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_249076]) ).
tff(c_249157,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_249126,c_12]) ).
tff(c_249226,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_249126,c_394,c_392,c_390,c_249157]) ).
tff(c_235460,plain,
! [U_5314] :
( ( U_5314 = '#skF_56' )
| ~ memberP('#skF_50',U_5314)
| ~ ssItem(U_5314) ),
inference(resolution,[status(thm)],[c_235456,c_228]) ).
tff(c_249269,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_249226,c_235460]) ).
tff(c_249272,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_249269]) ).
tff(c_249274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_247015,c_249272]) ).
tff(c_249275,plain,
memberP('#skF_53','#skF_55'),
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_250006,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_392,c_249890]) ).
tff(c_250222,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_250006]) ).
tff(c_250487,plain,
! [U_5529] :
( ~ memberP('#skF_53',U_5529)
| ~ ssItem(U_5529) ),
inference(demodulation,[status(thm),theory(equality)],[c_250222,c_228]) ).
tff(c_250490,plain,
~ ssItem('#skF_55'),
inference(resolution,[status(thm)],[c_249275,c_250487]) ).
tff(c_250494,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_250490]) ).
tff(c_250496,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_250006]) ).
tff(c_250495,plain,
tl('#skF_53') = '#skF_47'('#skF_53'),
inference(splitRight,[status(thm)],[c_250006]) ).
tff(c_250631,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_250495,c_188]) ).
tff(c_250635,plain,
( ssList('#skF_47'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_250631]) ).
tff(c_250636,plain,
ssList('#skF_47'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_250496,c_250635]) ).
tff(c_250658,plain,
( ( tl('#skF_47'('#skF_53')) = '#skF_47'('#skF_47'('#skF_53')) )
| ( '#skF_47'('#skF_53') = nil ) ),
inference(resolution,[status(thm)],[c_250636,c_334]) ).
tff(c_334040,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_250658]) ).
tff(c_334048,plain,
tl('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_334040,c_250495]) ).
tff(c_339754,plain,
! [U_7010,V_7011] :
( ( app(tl(U_7010),V_7011) = tl(app(U_7010,V_7011)) )
| ( nil = U_7010 )
| ~ ssList(V_7011)
| ~ ssList(U_7010) ),
inference(cnfTransformation,[status(thm)],[f_879]) ).
tff(c_339816,plain,
! [V_7011] :
( ( tl(app('#skF_53',V_7011)) = app(nil,V_7011) )
| ( nil = '#skF_53' )
| ~ ssList(V_7011)
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_334048,c_339754]) ).
tff(c_339854,plain,
! [V_7011] :
( ( tl(app('#skF_53',V_7011)) = app(nil,V_7011) )
| ( nil = '#skF_53' )
| ~ ssList(V_7011) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_339816]) ).
tff(c_339855,plain,
! [V_7011] :
( ( tl(app('#skF_53',V_7011)) = app(nil,V_7011) )
| ~ ssList(V_7011) ),
inference(negUnitSimplification,[status(thm)],[c_250496,c_339854]) ).
tff(c_362722,plain,
( ( app(nil,app('#skF_50','#skF_54')) = tl('#skF_50') )
| ~ ssList(app('#skF_50','#skF_54')) ),
inference(superposition,[status(thm),theory(equality)],[c_361975,c_339855]) ).
tff(c_362775,plain,
app('#skF_50','#skF_54') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_337694,c_297299,c_337747,c_362722]) ).
tff(c_362777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_337692,c_362775]) ).
tff(c_362779,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_250658]) ).
tff(c_297165,plain,
! [U_6371] :
( ( cons('#skF_5'(U_6371),nil) = U_6371 )
| ~ singletonP(U_6371)
| ~ ssList(U_6371) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_297502,plain,
! [U_6389] :
( equalelemsP(U_6389)
| ~ ssItem('#skF_5'(U_6389))
| ~ singletonP(U_6389)
| ~ ssList(U_6389) ),
inference(superposition,[status(thm),theory(equality)],[c_297165,c_326]) ).
tff(c_297507,plain,
! [U_6390] :
( equalelemsP(U_6390)
| ~ singletonP(U_6390)
| ~ ssList(U_6390) ),
inference(resolution,[status(thm)],[c_24,c_297502]) ).
tff(c_297631,plain,
( equalelemsP('#skF_53')
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_392,c_297507]) ).
tff(c_297638,plain,
~ singletonP('#skF_53'),
inference(splitLeft,[status(thm)],[c_297631]) ).
tff(c_250068,plain,
! [U_5522] :
( ( hd(U_5522) = '#skF_46'(U_5522) )
| ( nil = U_5522 )
| ~ ssList(U_5522) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_250192,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_392,c_250068]) ).
tff(c_297028,plain,
hd('#skF_53') = '#skF_46'('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_250496,c_250192]) ).
tff(c_297032,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_297028,c_184]) ).
tff(c_297036,plain,
( ssItem('#skF_46'('#skF_53'))
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_297032]) ).
tff(c_297037,plain,
ssItem('#skF_46'('#skF_53')),
inference(negUnitSimplification,[status(thm)],[c_250496,c_297036]) ).
tff(c_298284,plain,
'#skF_47'('#skF_53') = nil,
inference(splitLeft,[status(thm)],[c_250658]) ).
tff(c_297641,plain,
! [U_6391] :
( ( cons(hd(U_6391),tl(U_6391)) = U_6391 )
| ( nil = U_6391 )
| ~ ssList(U_6391) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_297684,plain,
( ( cons('#skF_46'('#skF_53'),tl('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' )
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_297028,c_297641]) ).
tff(c_297711,plain,
( ( cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53' )
| ( nil = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_250495,c_297684]) ).
tff(c_297712,plain,
cons('#skF_46'('#skF_53'),'#skF_47'('#skF_53')) = '#skF_53',
inference(negUnitSimplification,[status(thm)],[c_250496,c_297711]) ).
tff(c_298286,plain,
cons('#skF_46'('#skF_53'),nil) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_298284,c_297712]) ).
tff(c_297878,plain,
! [V_6393] :
( singletonP(cons(V_6393,nil))
| ~ ssItem(V_6393)
| ~ ssList(cons(V_6393,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_297888,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_297878]) ).
tff(c_297896,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_297888]) ).
tff(c_298324,plain,
( singletonP('#skF_53')
| ~ ssItem('#skF_46'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_298286,c_297896]) ).
tff(c_298365,plain,
singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_297037,c_298324]) ).
tff(c_298367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_297638,c_298365]) ).
tff(c_298369,plain,
'#skF_47'('#skF_53') != nil,
inference(splitRight,[status(thm)],[c_250658]) ).
tff(c_310349,plain,
! [V_6622,U_6623,X_6624,W_6625] :
( ( V_6622 = U_6623 )
| ( cons(X_6624,V_6622) != cons(W_6625,U_6623) )
| ~ ssItem(X_6624)
| ~ ssItem(W_6625)
| ~ ssList(V_6622)
| ~ ssList(U_6623) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_310399,plain,
! [U_6623,W_6625] :
( ( nil = U_6623 )
| ( cons(W_6625,U_6623) != '#skF_50' )
| ~ ssItem('#skF_56')
| ~ ssItem(W_6625)
| ~ ssList(nil)
| ~ ssList(U_6623) ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_310349]) ).
tff(c_311974,plain,
! [U_6646,W_6647] :
( ( nil = U_6646 )
| ( cons(W_6647,U_6646) != '#skF_50' )
| ~ ssItem(W_6647)
| ~ ssList(U_6646) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_5272,c_310399]) ).
tff(c_311992,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_297712,c_311974]) ).
tff(c_312022,plain,
( ( '#skF_47'('#skF_53') = nil )
| ( '#skF_53' != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_250636,c_297037,c_311992]) ).
tff(c_312023,plain,
'#skF_53' != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_298369,c_312022]) ).
tff(c_314089,plain,
! [V_6675,U_6676,W_6677,X_6678] :
( ( V_6675 = U_6676 )
| ~ frontsegP(cons(U_6676,W_6677),cons(V_6675,X_6678))
| ~ ssList(X_6678)
| ~ ssList(W_6677)
| ~ ssItem(V_6675)
| ~ ssItem(U_6676) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_314182,plain,
! [U_6676,W_6677] :
( ( U_6676 = '#skF_56' )
| ~ frontsegP(cons(U_6676,W_6677),'#skF_50')
| ~ ssList(nil)
| ~ ssList(W_6677)
| ~ ssItem('#skF_56')
| ~ ssItem(U_6676) ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_314089]) ).
tff(c_323531,plain,
! [U_6756,W_6757] :
( ( U_6756 = '#skF_56' )
| ~ frontsegP(cons(U_6756,W_6757),'#skF_50')
| ~ ssList(W_6757)
| ~ ssItem(U_6756) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_314182]) ).
tff(c_323573,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_297712,c_323531]) ).
tff(c_323622,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_53','#skF_50') ),
inference(demodulation,[status(thm),theory(equality)],[c_297037,c_250636,c_323573]) ).
tff(c_323645,plain,
~ frontsegP('#skF_53','#skF_50'),
inference(splitLeft,[status(thm)],[c_323622]) ).
tff(c_250661,plain,
app(nil,'#skF_47'('#skF_53')) = '#skF_47'('#skF_53'),
inference(resolution,[status(thm)],[c_250636,c_196]) ).
tff(c_303181,plain,
! [V_6546,W_6547] :
( frontsegP(app(V_6546,W_6547),V_6546)
| ~ ssList(W_6547)
| ~ ssList(V_6546)
| ~ ssList(app(V_6546,W_6547)) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_303354,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_250661,c_303181]) ).
tff(c_303502,plain,
frontsegP('#skF_47'('#skF_53'),nil),
inference(demodulation,[status(thm),theory(equality)],[c_250636,c_250661,c_168,c_250636,c_303354]) ).
tff(c_314179,plain,
! [V_6675,X_6678] :
( ( V_6675 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_6675,X_6678))
| ~ ssList(X_6678)
| ~ ssList(nil)
| ~ ssItem(V_6675)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_314089]) ).
tff(c_323647,plain,
! [V_6758,X_6759] :
( ( V_6758 = '#skF_56' )
| ~ frontsegP('#skF_50',cons(V_6758,X_6759))
| ~ ssList(X_6759)
| ~ ssItem(V_6758) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_314179]) ).
tff(c_323689,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_297712,c_323647]) ).
tff(c_323732,plain,
( ( '#skF_46'('#skF_53') = '#skF_56' )
| ~ frontsegP('#skF_50','#skF_53') ),
inference(demodulation,[status(thm),theory(equality)],[c_297037,c_250636,c_323689]) ).
tff(c_323743,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(splitLeft,[status(thm)],[c_323732]) ).
tff(c_316827,plain,
! [W_6700,V_6701,X_6702] :
( segmentP(app(app(W_6700,V_6701),X_6702),V_6701)
| ~ ssList(X_6702)
| ~ ssList(W_6700)
| ~ ssList(V_6701)
| ~ ssList(app(app(W_6700,V_6701),X_6702)) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_317075,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_425,c_316827]) ).
tff(c_317236,plain,
( segmentP('#skF_50',cons('#skF_52',nil))
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_425,c_392,c_390,c_317075]) ).
tff(c_317851,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_317236]) ).
tff(c_317854,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_317851]) ).
tff(c_317858,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_394,c_317854]) ).
tff(c_317860,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_317236]) ).
tff(c_312450,plain,
! [U_6654,V_6655,W_6656] :
( ( app(app(U_6654,V_6655),W_6656) = app(U_6654,app(V_6655,W_6656)) )
| ~ ssList(W_6656)
| ~ ssList(V_6655)
| ~ ssList(U_6654) ),
inference(cnfTransformation,[status(thm)],[f_844]) ).
tff(c_312574,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_312450,c_425]) ).
tff(c_312854,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_392,c_390,c_312574]) ).
tff(c_327065,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_317860,c_312854]) ).
tff(c_327133,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_327065]) ).
tff(c_327185,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_327133]) ).
tff(c_327219,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_327185,c_12]) ).
tff(c_327290,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_327185,c_394,c_392,c_390,c_327219]) ).
tff(c_311248,plain,
! [W_6636,U_6637,V_6638] :
( memberP(W_6636,U_6637)
| ( V_6638 = U_6637 )
| ~ memberP(cons(V_6638,W_6636),U_6637)
| ~ ssList(W_6636)
| ~ ssItem(V_6638)
| ~ ssItem(U_6637) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_311293,plain,
! [U_6637] :
( memberP(nil,U_6637)
| ( U_6637 = '#skF_56' )
| ~ memberP('#skF_50',U_6637)
| ~ ssList(nil)
| ~ ssItem('#skF_56')
| ~ ssItem(U_6637) ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_311248]) ).
tff(c_312285,plain,
! [U_6653] :
( memberP(nil,U_6653)
| ( U_6653 = '#skF_56' )
| ~ memberP('#skF_50',U_6653)
| ~ ssItem(U_6653) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_311293]) ).
tff(c_312289,plain,
! [U_6653] :
( ( U_6653 = '#skF_56' )
| ~ memberP('#skF_50',U_6653)
| ~ ssItem(U_6653) ),
inference(resolution,[status(thm)],[c_312285,c_228]) ).
tff(c_327333,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_327290,c_312289]) ).
tff(c_327336,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_327333]) ).
tff(c_312776,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_425,c_312450]) ).
tff(c_312973,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_392,c_390,c_312776]) ).
tff(c_327452,plain,
app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_249343,c_327336,c_249343,c_327336,c_312973]) ).
tff(c_301596,plain,
! [V_6535,U_6536] :
( ( app(cons(V_6535,nil),U_6536) = cons(V_6535,U_6536) )
| ~ ssItem(V_6535)
| ~ ssList(U_6536) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_301618,plain,
! [U_6536] :
( ( cons('#skF_56',U_6536) = app('#skF_50',U_6536) )
| ~ ssItem('#skF_56')
| ~ ssList(U_6536) ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_301596]) ).
tff(c_301625,plain,
! [U_6537] :
( ( cons('#skF_56',U_6537) = app('#skF_50',U_6537) )
| ~ ssList(U_6537) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_301618]) ).
tff(c_301790,plain,
cons('#skF_56','#skF_54') = app('#skF_50','#skF_54'),
inference(resolution,[status(thm)],[c_390,c_301625]) ).
tff(c_302440,plain,
( ssList(app('#skF_50','#skF_54'))
| ~ ssItem('#skF_56')
| ~ ssList('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_301790,c_166]) ).
tff(c_302460,plain,
ssList(app('#skF_50','#skF_54')),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_5272,c_302440]) ).
tff(c_327501,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_327452,c_26]) ).
tff(c_327550,plain,
frontsegP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_327452,c_392,c_302460,c_327501]) ).
tff(c_327552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_323743,c_327550]) ).
tff(c_327553,plain,
'#skF_46'('#skF_53') = '#skF_56',
inference(splitRight,[status(thm)],[c_323732]) ).
tff(c_327556,plain,
cons('#skF_56','#skF_47'('#skF_53')) = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_327553,c_297712]) ).
tff(c_312048,plain,
! [V_6649,W_6650,X_6651] :
( frontsegP(cons(V_6649,W_6650),cons(V_6649,X_6651))
| ~ frontsegP(W_6650,X_6651)
| ~ ssList(X_6651)
| ~ ssList(W_6650)
| ~ ssItem(V_6649) ),
inference(cnfTransformation,[status(thm)],[f_577]) ).
tff(c_312136,plain,
! [W_6650] :
( frontsegP(cons('#skF_56',W_6650),'#skF_50')
| ~ frontsegP(W_6650,nil)
| ~ ssList(nil)
| ~ ssList(W_6650)
| ~ ssItem('#skF_56') ),
inference(superposition,[status(thm),theory(equality)],[c_249343,c_312048]) ).
tff(c_312182,plain,
! [W_6650] :
( frontsegP(cons('#skF_56',W_6650),'#skF_50')
| ~ frontsegP(W_6650,nil)
| ~ ssList(W_6650) ),
inference(demodulation,[status(thm),theory(equality)],[c_5272,c_168,c_312136]) ).
tff(c_327690,plain,
( frontsegP('#skF_53','#skF_50')
| ~ frontsegP('#skF_47'('#skF_53'),nil)
| ~ ssList('#skF_47'('#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_327556,c_312182]) ).
tff(c_327783,plain,
frontsegP('#skF_53','#skF_50'),
inference(demodulation,[status(thm),theory(equality)],[c_250636,c_303502,c_327690]) ).
tff(c_327785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_323645,c_327783]) ).
tff(c_327787,plain,
frontsegP('#skF_53','#skF_50'),
inference(splitRight,[status(thm)],[c_323622]) ).
tff(c_327806,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53')
| ~ ssList('#skF_53')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_327787,c_234]) ).
tff(c_327812,plain,
( ( '#skF_53' = '#skF_50' )
| ~ frontsegP('#skF_50','#skF_53') ),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_392,c_327806]) ).
tff(c_327813,plain,
~ frontsegP('#skF_50','#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_312023,c_327812]) ).
tff(c_331866,plain,
app('#skF_53',app(cons('#skF_52',nil),'#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_317860,c_312854]) ).
tff(c_331934,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_331866]) ).
tff(c_331986,plain,
app('#skF_53',cons('#skF_52','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_394,c_331934]) ).
tff(c_332020,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_331986,c_12]) ).
tff(c_332091,plain,
memberP('#skF_50','#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_331986,c_394,c_392,c_390,c_332020]) ).
tff(c_332134,plain,
( ( '#skF_52' = '#skF_56' )
| ~ ssItem('#skF_52') ),
inference(resolution,[status(thm)],[c_332091,c_312289]) ).
tff(c_332137,plain,
'#skF_52' = '#skF_56',
inference(demodulation,[status(thm),theory(equality)],[c_394,c_332134]) ).
tff(c_332243,plain,
app('#skF_53',app('#skF_50','#skF_54')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_402,c_249343,c_332137,c_249343,c_332137,c_312973]) ).
tff(c_332292,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_332243,c_26]) ).
tff(c_332341,plain,
frontsegP('#skF_50','#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_402,c_332243,c_392,c_302460,c_332292]) ).
tff(c_332343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_327813,c_332341]) ).
tff(c_332345,plain,
singletonP('#skF_53'),
inference(splitRight,[status(thm)],[c_297631]) ).
tff(c_297286,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_297274]) ).
tff(c_363441,plain,
! [U_7263] :
( ( tl(U_7263) = nil )
| ~ ssItem('#skF_5'(U_7263))
| ~ singletonP(U_7263)
| ~ ssList(U_7263) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_297286]) ).
tff(c_363446,plain,
! [U_7264] :
( ( tl(U_7264) = nil )
| ~ singletonP(U_7264)
| ~ ssList(U_7264) ),
inference(resolution,[status(thm)],[c_24,c_363441]) ).
tff(c_363542,plain,
( ( tl('#skF_53') = nil )
| ~ singletonP('#skF_53') ),
inference(resolution,[status(thm)],[c_392,c_363446]) ).
tff(c_363592,plain,
'#skF_47'('#skF_53') = nil,
inference(demodulation,[status(thm),theory(equality)],[c_332345,c_250495,c_363542]) ).
tff(c_363594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_362779,c_363592]) ).
tff(c_363595,plain,
nil = '#skF_50',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_366469,plain,
! [U_7470] :
( ( tl(U_7470) = '#skF_47'(U_7470) )
| ( U_7470 = '#skF_50' )
| ~ ssList(U_7470) ),
inference(demodulation,[status(thm),theory(equality)],[c_363595,c_334]) ).
tff(c_366571,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( '#skF_53' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_392,c_366469]) ).
tff(c_366575,plain,
'#skF_53' = '#skF_50',
inference(splitLeft,[status(thm)],[c_366571]) ).
tff(c_364001,plain,
! [U_7330] :
( ( tl(U_7330) = '#skF_47'(U_7330) )
| ( U_7330 = '#skF_50' )
| ~ ssList(U_7330) ),
inference(demodulation,[status(thm),theory(equality)],[c_363595,c_334]) ).
tff(c_364104,plain,
( ( tl('#skF_54') = '#skF_47'('#skF_54') )
| ( '#skF_54' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_364001]) ).
tff(c_364808,plain,
'#skF_54' = '#skF_50',
inference(splitLeft,[status(thm)],[c_364104]) ).
tff(c_363649,plain,
memberP('#skF_54','#skF_55'),
inference(splitLeft,[status(thm)],[c_420]) ).
tff(c_364812,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_364808,c_363649]) ).
tff(c_363640,plain,
! [U_948] :
( ~ memberP('#skF_50',U_948)
| ~ ssItem(U_948) ),
inference(demodulation,[status(thm),theory(equality)],[c_363595,c_228]) ).
tff(c_364823,plain,
~ ssItem('#skF_55'),
inference(resolution,[status(thm)],[c_364812,c_363640]) ).
tff(c_364827,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_364823]) ).
tff(c_364829,plain,
'#skF_54' != '#skF_50',
inference(splitRight,[status(thm)],[c_364104]) ).
tff(c_363710,plain,
app(app('#skF_53',cons('#skF_52','#skF_50')),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_363595,c_425]) ).
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_366072,plain,
! [V_7417,U_7418] :
( ( V_7417 = '#skF_50' )
| ( app(U_7418,V_7417) != '#skF_50' )
| ~ ssList(V_7417)
| ~ ssList(U_7418) ),
inference(demodulation,[status(thm),theory(equality)],[c_363595,c_363595,c_354]) ).
tff(c_366074,plain,
( ( '#skF_54' = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(superposition,[status(thm),theory(equality)],[c_363710,c_366072]) ).
tff(c_366087,plain,
( ( '#skF_54' = '#skF_50' )
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_366074]) ).
tff(c_366088,plain,
~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))),
inference(negUnitSimplification,[status(thm)],[c_364829,c_366087]) ).
tff(c_366105,plain,
( ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_366088]) ).
tff(c_366108,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_366105]) ).
tff(c_366111,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_366108]) ).
tff(c_366115,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402,c_394,c_366111]) ).
tff(c_366116,plain,
memberP('#skF_53','#skF_55'),
inference(splitRight,[status(thm)],[c_420]) ).
tff(c_366579,plain,
memberP('#skF_50','#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_366575,c_366116]) ).
tff(c_366590,plain,
~ ssItem('#skF_55'),
inference(resolution,[status(thm)],[c_366579,c_363640]) ).
tff(c_366594,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_366590]) ).
tff(c_366596,plain,
'#skF_53' != '#skF_50',
inference(splitRight,[status(thm)],[c_366571]) ).
tff(c_366572,plain,
( ( tl('#skF_54') = '#skF_47'('#skF_54') )
| ( '#skF_54' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_366469]) ).
tff(c_366662,plain,
'#skF_54' = '#skF_50',
inference(splitLeft,[status(thm)],[c_366572]) ).
tff(c_366153,plain,
app(app('#skF_53',cons('#skF_52','#skF_50')),'#skF_54') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_363595,c_425]) ).
tff(c_366664,plain,
app(app('#skF_53',cons('#skF_52','#skF_50')),'#skF_50') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_366662,c_366153]) ).
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_368218,plain,
! [U_7543,V_7544] :
( ( U_7543 = '#skF_50' )
| ( app(U_7543,V_7544) != '#skF_50' )
| ~ ssList(V_7544)
| ~ ssList(U_7543) ),
inference(demodulation,[status(thm),theory(equality)],[c_363595,c_363595,c_352]) ).
tff(c_368220,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_366664,c_368218]) ).
tff(c_368229,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_402,c_368220]) ).
tff(c_368345,plain,
~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))),
inference(splitLeft,[status(thm)],[c_368229]) ).
tff(c_368348,plain,
( ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_368345]) ).
tff(c_368351,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_368348]) ).
tff(c_368354,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_368351]) ).
tff(c_368358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402,c_394,c_368354]) ).
tff(c_368359,plain,
app('#skF_53',cons('#skF_52','#skF_50')) = '#skF_50',
inference(splitRight,[status(thm)],[c_368229]) ).
tff(c_368217,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_363595,c_363595,c_352]) ).
tff(c_368410,plain,
( ( '#skF_53' = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_368359,c_368217]) ).
tff(c_368421,plain,
( ( '#skF_53' = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_368410]) ).
tff(c_368422,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_366596,c_368421]) ).
tff(c_368428,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_368422]) ).
tff(c_368432,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402,c_394,c_368428]) ).
tff(c_368434,plain,
'#skF_54' != '#skF_50',
inference(splitRight,[status(thm)],[c_366572]) ).
tff(c_369608,plain,
! [V_7598,U_7599] :
( ( V_7598 = '#skF_50' )
| ( app(U_7599,V_7598) != '#skF_50' )
| ~ ssList(V_7598)
| ~ ssList(U_7599) ),
inference(demodulation,[status(thm),theory(equality)],[c_363595,c_363595,c_354]) ).
tff(c_369618,plain,
( ( '#skF_54' = '#skF_50' )
| ~ ssList('#skF_54')
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(superposition,[status(thm),theory(equality)],[c_366153,c_369608]) ).
tff(c_369636,plain,
( ( '#skF_54' = '#skF_50' )
| ~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_369618]) ).
tff(c_369637,plain,
~ ssList(app('#skF_53',cons('#skF_52','#skF_50'))),
inference(negUnitSimplification,[status(thm)],[c_368434,c_369636]) ).
tff(c_369650,plain,
( ~ ssList(cons('#skF_52','#skF_50'))
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_192,c_369637]) ).
tff(c_369653,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_369650]) ).
tff(c_369656,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_369653]) ).
tff(c_369660,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_402,c_394,c_369656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC284+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 21:44:46 EDT 2023
% 0.13/0.35 % CPUTime :
% 105.52/87.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 105.84/87.74
% 105.84/87.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 105.89/87.83
% 105.89/87.83 Inference rules
% 105.89/87.83 ----------------------
% 105.89/87.83 #Ref : 74
% 105.89/87.83 #Sup : 80543
% 105.89/87.83 #Fact : 0
% 105.89/87.83 #Define : 0
% 105.89/87.83 #Split : 635
% 105.89/87.83 #Chain : 0
% 105.89/87.83 #Close : 0
% 105.89/87.83
% 105.89/87.83 Ordering : KBO
% 105.89/87.83
% 105.89/87.83 Simplification rules
% 105.89/87.83 ----------------------
% 105.89/87.83 #Subsume : 9773
% 105.89/87.83 #Demod : 82383
% 105.89/87.83 #Tautology : 22398
% 105.89/87.83 #SimpNegUnit : 8653
% 105.89/87.83 #BackRed : 2648
% 105.89/87.83
% 105.89/87.83 #Partial instantiations: 0
% 105.89/87.83 #Strategies tried : 1
% 105.89/87.83
% 105.89/87.83 Timing (in seconds)
% 105.89/87.83 ----------------------
% 106.24/87.83 Preprocessing : 0.94
% 106.24/87.83 Parsing : 0.44
% 106.24/87.83 CNF conversion : 0.11
% 106.24/87.83 Main loop : 85.66
% 106.24/87.83 Inferencing : 14.68
% 106.24/87.83 Reduction : 44.58
% 106.24/87.83 Demodulation : 34.13
% 106.24/87.83 BG Simplification : 0.54
% 106.24/87.83 Subsumption : 20.78
% 106.24/87.83 Abstraction : 0.90
% 106.24/87.83 MUC search : 0.00
% 106.24/87.83 Cooper : 0.00
% 106.24/87.83 Total : 86.81
% 106.24/87.83 Index Insertion : 0.00
% 106.24/87.83 Index Deletion : 0.00
% 106.24/87.83 Index Matching : 0.00
% 106.24/87.83 BG Taut test : 0.00
%------------------------------------------------------------------------------