TSTP Solution File: SWC315+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC315+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:02:05 EDT 2023
% Result : Theorem 22.68s 9.96s
% Output : CNFRefutation 22.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 98
% Syntax : Number of formulae : 394 ( 146 unt; 79 typ; 0 def)
% Number of atoms : 626 ( 308 equ)
% Maximal formula atoms : 19 ( 1 avg)
% Number of connectives : 574 ( 263 ~; 267 |; 7 &)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 68 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 60 ( 60 usr; 11 con; 0-2 aty)
% Number of variables : 107 (; 104 !; 3 ?; 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_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(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_1032,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| ( V != X )
| ( U != W )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [Y] :
( ssItem(Y)
=> ! [Z] :
( ~ ssList(Z)
| ( app(cons(Y,nil),Z) != V )
| ( app(Z,cons(Y,nil)) = U ) ) )
& ( ( nil != V )
| ( nil = U ) ) )
| ( ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ~ ssList(X2)
| ( app(cons(X1,nil),X2) != X )
| ( app(X2,cons(X1,nil)) != W ) ) )
& neq(X,nil) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_319,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
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_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_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_519,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax39) ).
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_413,axiom,
! [U] :
( ssList(U)
=> ( app(nil,U) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
tff(f_834,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( cons(V,U) = app(cons(V,nil),U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
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_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
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_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_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_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_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_364,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ( nil != cons(V,U) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
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_392,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_168,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_384,plain,
( ( nil != '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_443,plain,
nil != '#skF_51',
inference(splitLeft,[status(thm)],[c_384]) ).
tff(c_388,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_420,plain,
( ssItem('#skF_52')
| ( nil = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_426,plain,
( ssItem('#skF_52')
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_420]) ).
tff(c_2330,plain,
ssItem('#skF_52'),
inference(negUnitSimplification,[status(thm)],[c_443,c_426]) ).
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_54090,plain,
! [V_2889] :
( singletonP(cons(V_2889,nil))
| ~ ssItem(V_2889)
| ~ ssList(cons(V_2889,nil)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_54097,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_54090]) ).
tff(c_54100,plain,
! [V_861] :
( singletonP(cons(V_861,nil))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_54097]) ).
tff(c_390,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_2307,plain,
! [U_1340,V_1341] :
( neq(U_1340,V_1341)
| ( V_1341 = U_1340 )
| ~ ssList(V_1341)
| ~ ssList(U_1340) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_404,plain,
( ssItem('#skF_54')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_445,plain,
~ neq('#skF_51',nil),
inference(splitLeft,[status(thm)],[c_404]) ).
tff(c_2318,plain,
( ( nil = '#skF_51' )
| ~ ssList(nil)
| ~ ssList('#skF_51') ),
inference(resolution,[status(thm)],[c_2307,c_445]) ).
tff(c_2325,plain,
nil = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_390,c_168,c_2318]) ).
tff(c_2327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_443,c_2325]) ).
tff(c_2328,plain,
ssItem('#skF_54'),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_230,plain,
~ singletonP(nil),
inference(cnfTransformation,[status(thm)],[f_519]) ).
tff(c_2329,plain,
neq('#skF_51',nil),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_402,plain,
( ssList('#skF_55')
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_2334,plain,
ssList('#skF_55'),
inference(demodulation,[status(thm),theory(equality)],[c_2329,c_402]) ).
tff(c_2871,plain,
! [U_1414] :
( ( hd(U_1414) = '#skF_46'(U_1414) )
| ( nil = U_1414 )
| ~ ssList(U_1414) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_2983,plain,
( ( hd('#skF_55') = '#skF_46'('#skF_55') )
| ( nil = '#skF_55' ) ),
inference(resolution,[status(thm)],[c_2334,c_2871]) ).
tff(c_25517,plain,
nil = '#skF_55',
inference(splitLeft,[status(thm)],[c_2983]) ).
tff(c_418,plain,
( ssList('#skF_53')
| ( nil = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_422,plain,
( ssList('#skF_53')
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_418]) ).
tff(c_2331,plain,
ssList('#skF_53'),
inference(negUnitSimplification,[status(thm)],[c_443,c_422]) ).
tff(c_2984,plain,
( ( hd('#skF_53') = '#skF_46'('#skF_53') )
| ( nil = '#skF_53' ) ),
inference(resolution,[status(thm)],[c_2331,c_2871]) ).
tff(c_3055,plain,
nil = '#skF_53',
inference(splitLeft,[status(thm)],[c_2984]) ).
tff(c_2365,plain,
! [U_1360] :
( ( app(nil,U_1360) = U_1360 )
| ~ ssList(U_1360) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_2385,plain,
app(nil,'#skF_51') = '#skF_51',
inference(resolution,[status(thm)],[c_390,c_2365]) ).
tff(c_3078,plain,
app('#skF_53','#skF_51') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_2385]) ).
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_7758,plain,
! [V_1597,U_1598] :
( ( app(cons(V_1597,'#skF_53'),U_1598) = cons(V_1597,U_1598) )
| ~ ssItem(V_1597)
| ~ ssList(U_1598) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_346]) ).
tff(c_416,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_49' )
| ( nil = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_424,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_388,c_416]) ).
tff(c_2492,plain,
app(cons('#skF_52',nil),'#skF_53') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_443,c_424]) ).
tff(c_3069,plain,
app(cons('#skF_52','#skF_53'),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_2492]) ).
tff(c_7768,plain,
( ( cons('#skF_52','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_7758,c_3069]) ).
tff(c_7792,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2330,c_7768]) ).
tff(c_386,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_414,plain,
( ( app('#skF_53',cons('#skF_52',nil)) != '#skF_48' )
| ( nil = '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_423,plain,
( ( app('#skF_53',cons('#skF_52',nil)) != '#skF_48' )
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_414]) ).
tff(c_432,plain,
( ( app('#skF_53',cons('#skF_52',nil)) != '#skF_50' )
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_423]) ).
tff(c_2587,plain,
app('#skF_53',cons('#skF_52',nil)) != '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_443,c_432]) ).
tff(c_3063,plain,
app('#skF_53',cons('#skF_52','#skF_53')) != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_2587]) ).
tff(c_7802,plain,
app('#skF_53','#skF_51') != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_7792,c_3063]) ).
tff(c_7804,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_3078,c_7802]) ).
tff(c_2739,plain,
! [U_1413] :
( ( tl(U_1413) = '#skF_47'(U_1413) )
| ( nil = U_1413 )
| ~ ssList(U_1413) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_2851,plain,
( ( tl('#skF_55') = '#skF_47'('#skF_55') )
| ( nil = '#skF_55' ) ),
inference(resolution,[status(thm)],[c_2334,c_2739]) ).
tff(c_3414,plain,
( ( tl('#skF_55') = '#skF_47'('#skF_55') )
| ( '#skF_55' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_2851]) ).
tff(c_3415,plain,
'#skF_55' = '#skF_53',
inference(splitLeft,[status(thm)],[c_3414]) ).
tff(c_400,plain,
( ( app(cons('#skF_54',nil),'#skF_55') = '#skF_51' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_2345,plain,
app(cons('#skF_54',nil),'#skF_55') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_2329,c_400]) ).
tff(c_3090,plain,
app(cons('#skF_54','#skF_53'),'#skF_55') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_2345]) ).
tff(c_3683,plain,
app(cons('#skF_54','#skF_53'),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_3415,c_3090]) ).
tff(c_7789,plain,
( ( cons('#skF_54','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_54')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_3683,c_7758]) ).
tff(c_7801,plain,
cons('#skF_54','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2328,c_7789]) ).
tff(c_398,plain,
( ( app('#skF_55',cons('#skF_54',nil)) = '#skF_50' )
| ~ neq('#skF_51',nil) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_2360,plain,
app('#skF_55',cons('#skF_54',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_2329,c_398]) ).
tff(c_3082,plain,
app('#skF_55',cons('#skF_54','#skF_53')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_2360]) ).
tff(c_3693,plain,
app('#skF_53',cons('#skF_54','#skF_53')) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_3415,c_3082]) ).
tff(c_7917,plain,
app('#skF_53','#skF_51') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_7801,c_3693]) ).
tff(c_8078,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_7917,c_3078]) ).
tff(c_8080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7804,c_8078]) ).
tff(c_8082,plain,
'#skF_55' != '#skF_53',
inference(splitRight,[status(thm)],[c_3414]) ).
tff(c_2826,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_390,c_2739]) ).
tff(c_2860,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_443,c_2826]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_3012,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_2860,c_188]) ).
tff(c_3016,plain,
( ssList('#skF_47'('#skF_51'))
| ( nil = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_3012]) ).
tff(c_3017,plain,
ssList('#skF_47'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_443,c_3016]) ).
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_3031,plain,
( ( hd('#skF_47'('#skF_51')) = '#skF_46'('#skF_47'('#skF_51')) )
| ( '#skF_47'('#skF_51') = nil ) ),
inference(resolution,[status(thm)],[c_3017,c_330]) ).
tff(c_8612,plain,
( ( hd('#skF_47'('#skF_51')) = '#skF_46'('#skF_47'('#skF_51')) )
| ( '#skF_47'('#skF_51') = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_3031]) ).
tff(c_8613,plain,
'#skF_47'('#skF_51') = '#skF_53',
inference(splitLeft,[status(thm)],[c_8612]) ).
tff(c_8618,plain,
tl('#skF_51') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_8613,c_2860]) ).
tff(c_3103,plain,
~ singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_230]) ).
tff(c_410,plain,
( ssList('#skF_53')
| ( nil != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_430,plain,
( ssList('#skF_53')
| ( nil != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_410]) ).
tff(c_444,plain,
nil != '#skF_50',
inference(splitLeft,[status(thm)],[c_430]) ).
tff(c_2955,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( nil = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_392,c_2871]) ).
tff(c_2989,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_444,c_2955]) ).
tff(c_8100,plain,
( ( hd('#skF_55') = '#skF_46'('#skF_55') )
| ( '#skF_55' = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_2983]) ).
tff(c_8101,plain,
hd('#skF_55') = '#skF_46'('#skF_55'),
inference(negUnitSimplification,[status(thm)],[c_8082,c_8100]) ).
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_14194,plain,
! [U_1796,V_1797] :
( ( hd(app(U_1796,V_1797)) = hd(U_1796) )
| ( U_1796 = '#skF_53' )
| ~ ssList(V_1797)
| ~ ssList(U_1796) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_358]) ).
tff(c_14371,plain,
( ( hd('#skF_55') = hd('#skF_50') )
| ( '#skF_55' = '#skF_53' )
| ~ ssList(cons('#skF_54','#skF_53'))
| ~ ssList('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_3082,c_14194]) ).
tff(c_14564,plain,
( ( '#skF_46'('#skF_55') = '#skF_46'('#skF_50') )
| ( '#skF_55' = '#skF_53' )
| ~ ssList(cons('#skF_54','#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2989,c_8101,c_14371]) ).
tff(c_14565,plain,
( ( '#skF_46'('#skF_55') = '#skF_46'('#skF_50') )
| ~ ssList(cons('#skF_54','#skF_53')) ),
inference(negUnitSimplification,[status(thm)],[c_8082,c_14564]) ).
tff(c_14591,plain,
~ ssList(cons('#skF_54','#skF_53')),
inference(splitLeft,[status(thm)],[c_14565]) ).
tff(c_14594,plain,
( ~ ssItem('#skF_54')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_166,c_14591]) ).
tff(c_14598,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2328,c_14594]) ).
tff(c_14600,plain,
ssList(cons('#skF_54','#skF_53')),
inference(splitRight,[status(thm)],[c_14565]) ).
tff(c_2958,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( nil = '#skF_51' ) ),
inference(resolution,[status(thm)],[c_390,c_2871]) ).
tff(c_2992,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_443,c_2958]) ).
tff(c_14377,plain,
( ( hd(cons('#skF_54','#skF_53')) = hd('#skF_51') )
| ( cons('#skF_54','#skF_53') = '#skF_53' )
| ~ ssList('#skF_55')
| ~ ssList(cons('#skF_54','#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_3090,c_14194]) ).
tff(c_14569,plain,
( ( hd(cons('#skF_54','#skF_53')) = '#skF_46'('#skF_51') )
| ( cons('#skF_54','#skF_53') = '#skF_53' )
| ~ ssList(cons('#skF_54','#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2992,c_14377]) ).
tff(c_14642,plain,
( ( hd(cons('#skF_54','#skF_53')) = '#skF_46'('#skF_51') )
| ( cons('#skF_54','#skF_53') = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14600,c_14569]) ).
tff(c_14643,plain,
cons('#skF_54','#skF_53') = '#skF_53',
inference(splitLeft,[status(thm)],[c_14642]) ).
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_11947,plain,
! [V_1719] :
( singletonP(cons(V_1719,'#skF_53'))
| ~ ssItem(V_1719)
| ~ ssList(cons(V_1719,'#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_3055,c_20]) ).
tff(c_11957,plain,
! [V_861] :
( singletonP(cons(V_861,'#skF_53'))
| ~ ssItem(V_861)
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_166,c_11947]) ).
tff(c_11962,plain,
! [V_861] :
( singletonP(cons(V_861,'#skF_53'))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_11957]) ).
tff(c_14651,plain,
( singletonP('#skF_53')
| ~ ssItem('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_14643,c_11962]) ).
tff(c_14692,plain,
singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_2328,c_14651]) ).
tff(c_14694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3103,c_14692]) ).
tff(c_14695,plain,
hd(cons('#skF_54','#skF_53')) = '#skF_46'('#skF_51'),
inference(splitRight,[status(thm)],[c_14642]) ).
tff(c_186,plain,
! [V_891,U_889] :
( ( hd(cons(V_891,U_889)) = V_891 )
| ~ ssItem(V_891)
| ~ ssList(U_889) ),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_14747,plain,
( ( '#skF_46'('#skF_51') = '#skF_54' )
| ~ ssItem('#skF_54')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_14695,c_186]) ).
tff(c_14760,plain,
'#skF_46'('#skF_51') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2328,c_14747]) ).
tff(c_3096,plain,
'#skF_53' != '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_443]) ).
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_11753,plain,
! [U_1718] :
( ( cons(hd(U_1718),tl(U_1718)) = U_1718 )
| ( U_1718 = '#skF_53' )
| ~ ssList(U_1718) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_340]) ).
tff(c_11805,plain,
( ( cons('#skF_46'('#skF_51'),tl('#skF_51')) = '#skF_51' )
| ( '#skF_53' = '#skF_51' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_2992,c_11753]) ).
tff(c_11838,plain,
( ( cons('#skF_46'('#skF_51'),'#skF_53') = '#skF_51' )
| ( '#skF_53' = '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_8618,c_11805]) ).
tff(c_11839,plain,
cons('#skF_46'('#skF_51'),'#skF_53') = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_3096,c_11838]) ).
tff(c_14766,plain,
cons('#skF_54','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_14760,c_11839]) ).
tff(c_14800,plain,
app('#skF_51','#skF_55') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_14766,c_3090]) ).
tff(c_15152,plain,
! [V_1804,U_1805] :
( ( app(cons(V_1804,'#skF_53'),U_1805) = cons(V_1804,U_1805) )
| ~ ssItem(V_1804)
| ~ ssList(U_1805) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_346]) ).
tff(c_15171,plain,
! [U_1805] :
( ( cons('#skF_54',U_1805) = app('#skF_51',U_1805) )
| ~ ssItem('#skF_54')
| ~ ssList(U_1805) ),
inference(superposition,[status(thm),theory(equality)],[c_14766,c_15152]) ).
tff(c_15184,plain,
! [U_1806] :
( ( cons('#skF_54',U_1806) = app('#skF_51',U_1806) )
| ~ ssList(U_1806) ),
inference(demodulation,[status(thm),theory(equality)],[c_2328,c_15171]) ).
tff(c_15298,plain,
cons('#skF_54','#skF_55') = app('#skF_51','#skF_55'),
inference(resolution,[status(thm)],[c_2334,c_15184]) ).
tff(c_15346,plain,
cons('#skF_54','#skF_55') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_14800,c_15298]) ).
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_15354,plain,
( ( tl('#skF_51') = '#skF_55' )
| ~ ssItem('#skF_54')
| ~ ssList('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_15346,c_190]) ).
tff(c_15371,plain,
'#skF_55' = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2328,c_8618,c_15354]) ).
tff(c_15373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8082,c_15371]) ).
tff(c_15375,plain,
'#skF_47'('#skF_51') != '#skF_53',
inference(splitRight,[status(thm)],[c_8612]) ).
tff(c_24424,plain,
! [U_2070,V_2071] :
( ( hd(app(U_2070,V_2071)) = hd(U_2070) )
| ( U_2070 = '#skF_53' )
| ~ ssList(V_2071)
| ~ ssList(U_2070) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_358]) ).
tff(c_24613,plain,
( ( hd('#skF_55') = hd('#skF_50') )
| ( '#skF_55' = '#skF_53' )
| ~ ssList(cons('#skF_54','#skF_53'))
| ~ ssList('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_3082,c_24424]) ).
tff(c_24818,plain,
( ( '#skF_46'('#skF_55') = '#skF_46'('#skF_50') )
| ( '#skF_55' = '#skF_53' )
| ~ ssList(cons('#skF_54','#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2989,c_8101,c_24613]) ).
tff(c_24819,plain,
( ( '#skF_46'('#skF_55') = '#skF_46'('#skF_50') )
| ~ ssList(cons('#skF_54','#skF_53')) ),
inference(negUnitSimplification,[status(thm)],[c_8082,c_24818]) ).
tff(c_24845,plain,
~ ssList(cons('#skF_54','#skF_53')),
inference(splitLeft,[status(thm)],[c_24819]) ).
tff(c_24848,plain,
( ~ ssItem('#skF_54')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_166,c_24845]) ).
tff(c_24852,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2328,c_24848]) ).
tff(c_24854,plain,
ssList(cons('#skF_54','#skF_53')),
inference(splitRight,[status(thm)],[c_24819]) ).
tff(c_24619,plain,
( ( hd(cons('#skF_54','#skF_53')) = hd('#skF_51') )
| ( cons('#skF_54','#skF_53') = '#skF_53' )
| ~ ssList('#skF_55')
| ~ ssList(cons('#skF_54','#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_3090,c_24424]) ).
tff(c_24823,plain,
( ( hd(cons('#skF_54','#skF_53')) = '#skF_46'('#skF_51') )
| ( cons('#skF_54','#skF_53') = '#skF_53' )
| ~ ssList(cons('#skF_54','#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2992,c_24619]) ).
tff(c_24896,plain,
( ( hd(cons('#skF_54','#skF_53')) = '#skF_46'('#skF_51') )
| ( cons('#skF_54','#skF_53') = '#skF_53' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24854,c_24823]) ).
tff(c_24897,plain,
cons('#skF_54','#skF_53') = '#skF_53',
inference(splitLeft,[status(thm)],[c_24896]) ).
tff(c_22051,plain,
! [V_1991] :
( singletonP(cons(V_1991,'#skF_53'))
| ~ ssItem(V_1991)
| ~ ssList(cons(V_1991,'#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_3055,c_20]) ).
tff(c_22058,plain,
! [V_861] :
( singletonP(cons(V_861,'#skF_53'))
| ~ ssItem(V_861)
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_166,c_22051]) ).
tff(c_22061,plain,
! [V_861] :
( singletonP(cons(V_861,'#skF_53'))
| ~ ssItem(V_861) ),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_22058]) ).
tff(c_24905,plain,
( singletonP('#skF_53')
| ~ ssItem('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_24897,c_22061]) ).
tff(c_24946,plain,
singletonP('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_2328,c_24905]) ).
tff(c_24948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3103,c_24946]) ).
tff(c_24949,plain,
hd(cons('#skF_54','#skF_53')) = '#skF_46'('#skF_51'),
inference(splitRight,[status(thm)],[c_24896]) ).
tff(c_25001,plain,
( ( '#skF_46'('#skF_51') = '#skF_54' )
| ~ ssItem('#skF_54')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_24949,c_186]) ).
tff(c_25014,plain,
'#skF_46'('#skF_51') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2328,c_25001]) ).
tff(c_24616,plain,
( ( hd(cons('#skF_52','#skF_53')) = hd('#skF_51') )
| ( cons('#skF_52','#skF_53') = '#skF_53' )
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52','#skF_53')) ),
inference(superposition,[status(thm),theory(equality)],[c_3069,c_24424]) ).
tff(c_24821,plain,
( ( hd(cons('#skF_52','#skF_53')) = '#skF_46'('#skF_51') )
| ( cons('#skF_52','#skF_53') = '#skF_53' )
| ~ ssList(cons('#skF_52','#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2992,c_24616]) ).
tff(c_25297,plain,
( ( hd(cons('#skF_52','#skF_53')) = '#skF_54' )
| ( cons('#skF_52','#skF_53') = '#skF_53' )
| ~ ssList(cons('#skF_52','#skF_53')) ),
inference(demodulation,[status(thm),theory(equality)],[c_25014,c_24821]) ).
tff(c_25298,plain,
~ ssList(cons('#skF_52','#skF_53')),
inference(splitLeft,[status(thm)],[c_25297]) ).
tff(c_25307,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(resolution,[status(thm)],[c_166,c_25298]) ).
tff(c_25311,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2330,c_25307]) ).
tff(c_25313,plain,
ssList(cons('#skF_52','#skF_53')),
inference(splitRight,[status(thm)],[c_25297]) ).
tff(c_356,plain,
! [U_1080] :
( ( app(U_1080,nil) = U_1080 )
| ~ ssList(U_1080) ),
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_3074,plain,
! [U_1080] :
( ( app(U_1080,'#skF_53') = U_1080 )
| ~ ssList(U_1080) ),
inference(demodulation,[status(thm),theory(equality)],[c_3055,c_356]) ).
tff(c_25340,plain,
app(cons('#skF_52','#skF_53'),'#skF_53') = cons('#skF_52','#skF_53'),
inference(resolution,[status(thm)],[c_25313,c_3074]) ).
tff(c_25357,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_3069,c_25340]) ).
tff(c_25379,plain,
( ( tl('#skF_51') = '#skF_53' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_25357,c_190]) ).
tff(c_25425,plain,
'#skF_47'('#skF_51') = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2330,c_2860,c_25379]) ).
tff(c_25427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15375,c_25425]) ).
tff(c_25429,plain,
nil != '#skF_53',
inference(splitRight,[status(thm)],[c_2984]) ).
tff(c_25518,plain,
'#skF_55' != '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_25517,c_25429]) ).
tff(c_26368,plain,
( ( hd('#skF_47'('#skF_51')) = '#skF_46'('#skF_47'('#skF_51')) )
| ( '#skF_47'('#skF_51') = '#skF_55' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25517,c_3031]) ).
tff(c_26369,plain,
'#skF_47'('#skF_51') = '#skF_55',
inference(splitLeft,[status(thm)],[c_26368]) ).
tff(c_26374,plain,
tl('#skF_51') = '#skF_55',
inference(demodulation,[status(thm),theory(equality)],[c_26369,c_2860]) ).
tff(c_32469,plain,
! [V_2291,U_2292] :
( ( app(cons(V_2291,'#skF_55'),U_2292) = cons(V_2291,U_2292) )
| ~ ssItem(V_2291)
| ~ ssList(U_2292) ),
inference(demodulation,[status(thm),theory(equality)],[c_25517,c_346]) ).
tff(c_25532,plain,
app(cons('#skF_52','#skF_55'),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_25517,c_2492]) ).
tff(c_32479,plain,
( ( cons('#skF_52','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_32469,c_25532]) ).
tff(c_32503,plain,
cons('#skF_52','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2330,c_32479]) ).
tff(c_32516,plain,
( ( tl('#skF_51') = '#skF_53' )
| ~ ssItem('#skF_52')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_32503,c_190]) ).
tff(c_32533,plain,
'#skF_55' = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2330,c_26374,c_32516]) ).
tff(c_32535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25518,c_32533]) ).
tff(c_32537,plain,
'#skF_47'('#skF_51') != '#skF_55',
inference(splitRight,[status(thm)],[c_26368]) ).
tff(c_25553,plain,
app(cons('#skF_54','#skF_55'),'#skF_55') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_25517,c_2345]) ).
tff(c_42332,plain,
! [U_2583,V_2584] :
( ( hd(app(U_2583,V_2584)) = hd(U_2583) )
| ( U_2583 = '#skF_55' )
| ~ ssList(V_2584)
| ~ ssList(U_2583) ),
inference(demodulation,[status(thm),theory(equality)],[c_25517,c_358]) ).
tff(c_42491,plain,
( ( hd(cons('#skF_54','#skF_55')) = hd('#skF_51') )
| ( cons('#skF_54','#skF_55') = '#skF_55' )
| ~ ssList('#skF_55')
| ~ ssList(cons('#skF_54','#skF_55')) ),
inference(superposition,[status(thm),theory(equality)],[c_25553,c_42332]) ).
tff(c_42659,plain,
( ( hd(cons('#skF_54','#skF_55')) = '#skF_46'('#skF_51') )
| ( cons('#skF_54','#skF_55') = '#skF_55' )
| ~ ssList(cons('#skF_54','#skF_55')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2992,c_42491]) ).
tff(c_42771,plain,
~ ssList(cons('#skF_54','#skF_55')),
inference(splitLeft,[status(thm)],[c_42659]) ).
tff(c_42774,plain,
( ~ ssItem('#skF_54')
| ~ ssList('#skF_55') ),
inference(resolution,[status(thm)],[c_166,c_42771]) ).
tff(c_42778,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2328,c_42774]) ).
tff(c_42780,plain,
ssList(cons('#skF_54','#skF_55')),
inference(splitRight,[status(thm)],[c_42659]) ).
tff(c_25537,plain,
! [U_1080] :
( ( app(U_1080,'#skF_55') = U_1080 )
| ~ ssList(U_1080) ),
inference(demodulation,[status(thm),theory(equality)],[c_25517,c_356]) ).
tff(c_42801,plain,
app(cons('#skF_54','#skF_55'),'#skF_55') = cons('#skF_54','#skF_55'),
inference(resolution,[status(thm)],[c_42780,c_25537]) ).
tff(c_42818,plain,
cons('#skF_54','#skF_55') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_25553,c_42801]) ).
tff(c_42834,plain,
( ( tl('#skF_51') = '#skF_55' )
| ~ ssItem('#skF_54')
| ~ ssList('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_42818,c_190]) ).
tff(c_42874,plain,
'#skF_47'('#skF_51') = '#skF_55',
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2328,c_2860,c_42834]) ).
tff(c_42876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32537,c_42874]) ).
tff(c_42878,plain,
nil != '#skF_55',
inference(splitRight,[status(thm)],[c_2983]) ).
tff(c_42877,plain,
hd('#skF_55') = '#skF_46'('#skF_55'),
inference(splitRight,[status(thm)],[c_2983]) ).
tff(c_56253,plain,
! [U_2952,V_2953] :
( ( hd(app(U_2952,V_2953)) = hd(U_2952) )
| ( nil = U_2952 )
| ~ ssList(V_2953)
| ~ ssList(U_2952) ),
inference(cnfTransformation,[status(thm)],[f_869]) ).
tff(c_56448,plain,
( ( hd('#skF_55') = hd('#skF_50') )
| ( nil = '#skF_55' )
| ~ ssList(cons('#skF_54',nil))
| ~ ssList('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_2360,c_56253]) ).
tff(c_56634,plain,
( ( '#skF_46'('#skF_55') = '#skF_46'('#skF_50') )
| ( nil = '#skF_55' )
| ~ ssList(cons('#skF_54',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2989,c_42877,c_56448]) ).
tff(c_56635,plain,
( ( '#skF_46'('#skF_55') = '#skF_46'('#skF_50') )
| ~ ssList(cons('#skF_54',nil)) ),
inference(negUnitSimplification,[status(thm)],[c_42878,c_56634]) ).
tff(c_56638,plain,
~ ssList(cons('#skF_54',nil)),
inference(splitLeft,[status(thm)],[c_56635]) ).
tff(c_56641,plain,
( ~ ssItem('#skF_54')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_56638]) ).
tff(c_56645,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_2328,c_56641]) ).
tff(c_56647,plain,
ssList(cons('#skF_54',nil)),
inference(splitRight,[status(thm)],[c_56635]) ).
tff(c_56451,plain,
( ( hd(cons('#skF_54',nil)) = hd('#skF_51') )
| ( cons('#skF_54',nil) = nil )
| ~ ssList('#skF_55')
| ~ ssList(cons('#skF_54',nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_2345,c_56253]) ).
tff(c_56637,plain,
( ( hd(cons('#skF_54',nil)) = '#skF_46'('#skF_51') )
| ( cons('#skF_54',nil) = nil )
| ~ ssList(cons('#skF_54',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2992,c_56451]) ).
tff(c_56693,plain,
( ( hd(cons('#skF_54',nil)) = '#skF_46'('#skF_51') )
| ( cons('#skF_54',nil) = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56647,c_56637]) ).
tff(c_56694,plain,
cons('#skF_54',nil) = nil,
inference(splitLeft,[status(thm)],[c_56693]) ).
tff(c_56705,plain,
( singletonP(nil)
| ~ ssItem('#skF_54') ),
inference(superposition,[status(thm),theory(equality)],[c_56694,c_54100]) ).
tff(c_56749,plain,
singletonP(nil),
inference(demodulation,[status(thm),theory(equality)],[c_2328,c_56705]) ).
tff(c_56751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_230,c_56749]) ).
tff(c_56752,plain,
hd(cons('#skF_54',nil)) = '#skF_46'('#skF_51'),
inference(splitRight,[status(thm)],[c_56693]) ).
tff(c_56801,plain,
( ( '#skF_46'('#skF_51') = '#skF_54' )
| ~ ssItem('#skF_54')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_56752,c_186]) ).
tff(c_56814,plain,
'#skF_46'('#skF_51') = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_2328,c_56801]) ).
tff(c_56418,plain,
( ( hd(cons('#skF_52',nil)) = hd('#skF_51') )
| ( cons('#skF_52',nil) = nil )
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52',nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_2492,c_56253]) ).
tff(c_56605,plain,
( ( hd(cons('#skF_52',nil)) = '#skF_46'('#skF_51') )
| ( cons('#skF_52',nil) = nil )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2992,c_56418]) ).
tff(c_57013,plain,
( ( hd(cons('#skF_52',nil)) = '#skF_54' )
| ( cons('#skF_52',nil) = nil )
| ~ ssList(cons('#skF_52',nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_56814,c_56605]) ).
tff(c_57014,plain,
~ ssList(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_57013]) ).
tff(c_57017,plain,
( ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_166,c_57014]) ).
tff(c_57021,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168,c_2330,c_57017]) ).
tff(c_57023,plain,
ssList(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_57013]) ).
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_49883,plain,
! [U_2779] :
( ( cons('#skF_5'(U_2779),nil) = U_2779 )
| ~ singletonP(U_2779)
| ~ ssList(U_2779) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_326,plain,
! [U_1044] :
( equalelemsP(cons(U_1044,nil))
| ~ ssItem(U_1044) ),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_50338,plain,
! [U_2801] :
( equalelemsP(U_2801)
| ~ ssItem('#skF_5'(U_2801))
| ~ singletonP(U_2801)
| ~ ssList(U_2801) ),
inference(superposition,[status(thm),theory(equality)],[c_49883,c_326]) ).
tff(c_50342,plain,
! [U_30] :
( equalelemsP(U_30)
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(resolution,[status(thm)],[c_24,c_50338]) ).
tff(c_57060,plain,
( equalelemsP(cons('#skF_52',nil))
| ~ singletonP(cons('#skF_52',nil)) ),
inference(resolution,[status(thm)],[c_57023,c_50342]) ).
tff(c_57142,plain,
~ singletonP(cons('#skF_52',nil)),
inference(splitLeft,[status(thm)],[c_57060]) ).
tff(c_57145,plain,
~ ssItem('#skF_52'),
inference(resolution,[status(thm)],[c_54100,c_57142]) ).
tff(c_57149,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2330,c_57145]) ).
tff(c_57151,plain,
singletonP(cons('#skF_52',nil)),
inference(splitRight,[status(thm)],[c_57060]) ).
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_49896,plain,
! [U_2779] :
( ( nil != U_2779 )
| ~ ssItem('#skF_5'(U_2779))
| ~ ssList(nil)
| ~ singletonP(U_2779)
| ~ ssList(U_2779) ),
inference(superposition,[status(thm),theory(equality)],[c_49883,c_182]) ).
tff(c_50018,plain,
! [U_2795] :
( ( nil != U_2795 )
| ~ ssItem('#skF_5'(U_2795))
| ~ singletonP(U_2795)
| ~ ssList(U_2795) ),
inference(demodulation,[status(thm),theory(equality)],[c_168,c_49896]) ).
tff(c_50022,plain,
! [U_30] :
( ( nil != U_30 )
| ~ singletonP(U_30)
| ~ ssList(U_30) ),
inference(resolution,[status(thm)],[c_24,c_50018]) ).
tff(c_57061,plain,
( ( cons('#skF_52',nil) != nil )
| ~ singletonP(cons('#skF_52',nil)) ),
inference(resolution,[status(thm)],[c_57023,c_50022]) ).
tff(c_57189,plain,
cons('#skF_52',nil) != nil,
inference(demodulation,[status(thm),theory(equality)],[c_57151,c_57061]) ).
tff(c_57022,plain,
( ( cons('#skF_52',nil) = nil )
| ( hd(cons('#skF_52',nil)) = '#skF_54' ) ),
inference(splitRight,[status(thm)],[c_57013]) ).
tff(c_57190,plain,
hd(cons('#skF_52',nil)) = '#skF_54',
inference(negUnitSimplification,[status(thm)],[c_57189,c_57022]) ).
tff(c_57197,plain,
( ( '#skF_52' = '#skF_54' )
| ~ ssItem('#skF_52')
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_57190,c_186]) ).
tff(c_57210,plain,
'#skF_52' = '#skF_54',
inference(demodulation,[status(thm),theory(equality)],[c_168,c_2330,c_57197]) ).
tff(c_57225,plain,
app('#skF_53',cons('#skF_54',nil)) != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_57210,c_2587]) ).
tff(c_57575,plain,
! [V_2971,U_2972] :
( ( app(cons(V_2971,nil),U_2972) = cons(V_2971,U_2972) )
| ~ ssItem(V_2971)
| ~ ssList(U_2972) ),
inference(cnfTransformation,[status(thm)],[f_834]) ).
tff(c_57597,plain,
( ( cons('#skF_54','#skF_55') = '#skF_51' )
| ~ ssItem('#skF_54')
| ~ ssList('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_57575,c_2345]) ).
tff(c_57620,plain,
cons('#skF_54','#skF_55') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2328,c_57597]) ).
tff(c_57647,plain,
( ( tl('#skF_51') = '#skF_55' )
| ~ ssItem('#skF_54')
| ~ ssList('#skF_55') ),
inference(superposition,[status(thm),theory(equality)],[c_57620,c_190]) ).
tff(c_57669,plain,
'#skF_47'('#skF_51') = '#skF_55',
inference(demodulation,[status(thm),theory(equality)],[c_2334,c_2328,c_2860,c_57647]) ).
tff(c_57708,plain,
tl('#skF_51') = '#skF_55',
inference(demodulation,[status(thm),theory(equality)],[c_57669,c_2860]) ).
tff(c_57226,plain,
app(cons('#skF_54',nil),'#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_57210,c_2492]) ).
tff(c_57603,plain,
( ( cons('#skF_54','#skF_53') = '#skF_51' )
| ~ ssItem('#skF_54')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_57226,c_57575]) ).
tff(c_57623,plain,
cons('#skF_54','#skF_53') = '#skF_51',
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2328,c_57603]) ).
tff(c_57783,plain,
( ( tl('#skF_51') = '#skF_53' )
| ~ ssItem('#skF_54')
| ~ ssList('#skF_53') ),
inference(superposition,[status(thm),theory(equality)],[c_57623,c_190]) ).
tff(c_57805,plain,
'#skF_55' = '#skF_53',
inference(demodulation,[status(thm),theory(equality)],[c_2331,c_2328,c_57708,c_57783]) ).
tff(c_57850,plain,
app('#skF_53',cons('#skF_54',nil)) = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_57805,c_2360]) ).
tff(c_57871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57225,c_57850]) ).
tff(c_57872,plain,
nil = '#skF_50',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_412,plain,
( ssItem('#skF_52')
| ( nil != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_429,plain,
( ssItem('#skF_52')
| ( nil != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_412]) ).
tff(c_57916,plain,
ssItem('#skF_52'),
inference(demodulation,[status(thm),theory(equality)],[c_57872,c_429]) ).
tff(c_196,plain,
! [U_906] :
( ( app(nil,U_906) = U_906 )
| ~ ssList(U_906) ),
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_57953,plain,
! [U_2991] :
( ( app('#skF_50',U_2991) = U_2991 )
| ~ ssList(U_2991) ),
inference(demodulation,[status(thm),theory(equality)],[c_57872,c_196]) ).
tff(c_57961,plain,
app('#skF_50','#skF_50') = '#skF_50',
inference(resolution,[status(thm)],[c_392,c_57953]) ).
tff(c_57918,plain,
ssList('#skF_53'),
inference(demodulation,[status(thm),theory(equality)],[c_57872,c_430]) ).
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_58421,plain,
! [U_3045] :
( ( tl(U_3045) = '#skF_47'(U_3045) )
| ( U_3045 = '#skF_50' )
| ~ ssList(U_3045) ),
inference(demodulation,[status(thm),theory(equality)],[c_57872,c_334]) ).
tff(c_58524,plain,
( ( tl('#skF_53') = '#skF_47'('#skF_53') )
| ( '#skF_53' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_57918,c_58421]) ).
tff(c_58527,plain,
'#skF_53' = '#skF_50',
inference(splitLeft,[status(thm)],[c_58524]) ).
tff(c_57873,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_57886,plain,
'#skF_51' = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_57872,c_57873]) ).
tff(c_408,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_49' )
| ( nil != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_425,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ( nil != '#skF_48' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_408]) ).
tff(c_433,plain,
( ( app(cons('#skF_52',nil),'#skF_53') = '#skF_51' )
| ( nil != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_425]) ).
tff(c_58128,plain,
app(cons('#skF_52','#skF_50'),'#skF_53') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_57872,c_57886,c_57872,c_433]) ).
tff(c_58529,plain,
app(cons('#skF_52','#skF_50'),'#skF_50') = '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_58527,c_58128]) ).
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_59519,plain,
! [U_3104,V_3105] :
( ( U_3104 = '#skF_50' )
| ( app(U_3104,V_3105) != '#skF_50' )
| ~ ssList(V_3105)
| ~ ssList(U_3104) ),
inference(demodulation,[status(thm),theory(equality)],[c_57872,c_57872,c_352]) ).
tff(c_59521,plain,
( ( cons('#skF_52','#skF_50') = '#skF_50' )
| ~ ssList('#skF_50')
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_58529,c_59519]) ).
tff(c_59526,plain,
( ( cons('#skF_52','#skF_50') = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_59521]) ).
tff(c_59531,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(splitLeft,[status(thm)],[c_59526]) ).
tff(c_59534,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_59531]) ).
tff(c_59538,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_392,c_57916,c_59534]) ).
tff(c_59539,plain,
cons('#skF_52','#skF_50') = '#skF_50',
inference(splitRight,[status(thm)],[c_59526]) ).
tff(c_406,plain,
( ( app('#skF_53',cons('#skF_52',nil)) != '#skF_48' )
| ( nil != '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1032]) ).
tff(c_431,plain,
( ( app('#skF_53',cons('#skF_52',nil)) != '#skF_50' )
| ( nil != '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_386,c_406]) ).
tff(c_58007,plain,
app('#skF_53',cons('#skF_52','#skF_50')) != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_57872,c_57872,c_431]) ).
tff(c_58530,plain,
app('#skF_50',cons('#skF_52','#skF_50')) != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_58527,c_58007]) ).
tff(c_59600,plain,
app('#skF_50','#skF_50') != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_59539,c_58530]) ).
tff(c_59605,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57961,c_59600]) ).
tff(c_59607,plain,
'#skF_53' != '#skF_50',
inference(splitRight,[status(thm)],[c_58524]) ).
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_60315,plain,
! [V_3138,U_3139] :
( ( V_3138 = '#skF_50' )
| ( app(U_3139,V_3138) != '#skF_50' )
| ~ ssList(V_3138)
| ~ ssList(U_3139) ),
inference(demodulation,[status(thm),theory(equality)],[c_57872,c_57872,c_354]) ).
tff(c_60317,plain,
( ( '#skF_53' = '#skF_50' )
| ~ ssList('#skF_53')
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_58128,c_60315]) ).
tff(c_60326,plain,
( ( '#skF_53' = '#skF_50' )
| ~ ssList(cons('#skF_52','#skF_50')) ),
inference(demodulation,[status(thm),theory(equality)],[c_57918,c_60317]) ).
tff(c_60327,plain,
~ ssList(cons('#skF_52','#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_59607,c_60326]) ).
tff(c_60339,plain,
( ~ ssItem('#skF_52')
| ~ ssList('#skF_50') ),
inference(resolution,[status(thm)],[c_166,c_60327]) ).
tff(c_60343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_392,c_57916,c_60339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC315+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 21:37:31 EDT 2023
% 0.14/0.36 % CPUTime :
% 22.68/9.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.68/9.98
% 22.68/9.98 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.84/10.03
% 22.84/10.03 Inference rules
% 22.84/10.03 ----------------------
% 22.84/10.03 #Ref : 0
% 22.84/10.03 #Sup : 13374
% 22.84/10.03 #Fact : 0
% 22.84/10.03 #Define : 0
% 22.84/10.03 #Split : 349
% 22.84/10.03 #Chain : 0
% 22.84/10.03 #Close : 0
% 22.84/10.03
% 22.84/10.03 Ordering : KBO
% 22.84/10.03
% 22.84/10.03 Simplification rules
% 22.84/10.03 ----------------------
% 22.84/10.03 #Subsume : 1919
% 22.84/10.03 #Demod : 11224
% 22.84/10.03 #Tautology : 5717
% 22.84/10.03 #SimpNegUnit : 1603
% 22.84/10.03 #BackRed : 783
% 22.84/10.03
% 22.84/10.03 #Partial instantiations: 0
% 22.84/10.03 #Strategies tried : 1
% 22.84/10.03
% 22.84/10.03 Timing (in seconds)
% 22.84/10.03 ----------------------
% 22.84/10.03 Preprocessing : 0.88
% 22.84/10.03 Parsing : 0.42
% 22.84/10.04 CNF conversion : 0.10
% 22.84/10.04 Main loop : 7.96
% 22.84/10.04 Inferencing : 2.29
% 22.84/10.04 Reduction : 3.06
% 22.84/10.04 Demodulation : 2.24
% 22.84/10.04 BG Simplification : 0.14
% 22.84/10.04 Subsumption : 1.85
% 22.84/10.04 Abstraction : 0.15
% 22.84/10.04 MUC search : 0.00
% 22.84/10.04 Cooper : 0.00
% 22.84/10.04 Total : 8.94
% 22.84/10.04 Index Insertion : 0.00
% 22.84/10.04 Index Deletion : 0.00
% 22.84/10.04 Index Matching : 0.00
% 22.84/10.04 BG Taut test : 0.00
%------------------------------------------------------------------------------