TSTP Solution File: SWW575_2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW575_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n016.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 11:07:43 EDT 2023
% Result : Theorem 55.84s 25.56s
% Output : CNFRefutation 55.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 86
% Syntax : Number of formulae : 300 ( 123 unt; 85 typ; 0 def)
% Number of atoms : 425 ( 97 equ)
% Maximal formula atoms : 54 ( 1 avg)
% Number of connectives : 323 ( 113 ~; 157 |; 33 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 693 ( 300 atm; 174 fun; 177 num; 42 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 174 ( 50 >; 124 *; 0 +; 0 <<)
% Number of predicates : 15 ( 11 usr; 1 prp; 0-7 aty)
% Number of functors : 74 ( 68 usr; 32 con; 0-7 aty)
% Number of variables : 45 (; 43 !; 2 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
%$ exchange2 > permut_sub2 > permut3 > permut2 > map_eq_sub1 > exchange3 > array_eq_sub1 > permut_sub3 > permut_all > array_eq > sort1 > set > occ1 > set2 > match_bool1 > get > mk_array2 > make1 > get4 > const > mk_ref > mk_array3 > map > length1 > get3 > elts > contents > #nlpp > witness1 > tb2t2 > tb2t1 > tb2t > t2tb2 > t2tb1 > t2tb > ref > array > tuple03 > tuple0 > true1 > real > qtmark > int > false1 > bool > #skF_23 > #skF_10 > #skF_22 > #skF_6 > #skF_2 > #skF_8 > #skF_13 > #skF_5 > #skF_11 > #skF_1 > #skF_15 > #skF_9 > #skF_4 > #skF_7 > #skF_21 > #skF_12 > #skF_3
%Foreground sorts:
tff(map_int_int,type,
map_int_int: $tType ).
tff(tuple02,type,
tuple02: $tType ).
tff(bool1,type,
bool1: $tType ).
tff(array_int,type,
array_int: $tType ).
tff(ty,type,
ty: $tType ).
tff(uni,type,
uni: $tType ).
%Background operators:
tff('#skE_7',type,
'#skE_7': $int ).
tff('#skE_11',type,
'#skE_11': $int ).
tff('#skF_14',type,
'#skF_14': $int ).
tff('#skE_2',type,
'#skE_2': $int ).
tff('#skE_1',type,
'#skE_1': $int ).
tff('#skF_16',type,
'#skF_16': $int ).
tff('#skF_20',type,
'#skF_20': $int ).
tff('#skE_6',type,
'#skE_6': $int ).
tff('#skF_17',type,
'#skF_17': $int ).
tff('#skE_10',type,
'#skE_10': $int ).
tff('#skE_5',type,
'#skE_5': $int ).
tff('#skF_24',type,
'#skF_24': $int ).
tff('#skF_18',type,
'#skF_18': $int ).
tff('#skE_8',type,
'#skE_8': $int ).
tff('#skE_4',type,
'#skE_4': $int ).
tff('#skE_3',type,
'#skE_3': $int ).
tff('#skE_9',type,
'#skE_9': $int ).
tff('#skF_19',type,
'#skF_19': $int ).
%Foreground operators:
tff(length1,type,
length1: ( ty * uni ) > $int ).
tff('#skF_23',type,
'#skF_23': $int > $int ).
tff(t2tb1,type,
t2tb1: $int > uni ).
tff(permut_sub2,type,
permut_sub2: ( ty * uni * uni * $int * $int ) > $o ).
tff(true1,type,
true1: bool1 ).
tff(get3,type,
get3: ( map_int_int * $int ) > $int ).
tff(const,type,
const: ( ty * ty * uni ) > uni ).
tff(permut_sub3,type,
permut_sub3: ( array_int * array_int * $int * $int ) > $o ).
tff('#skF_10',type,
'#skF_10': ( map_int_int * map_int_int * $int * $int ) > $int ).
tff(occ1,type,
occ1: ( ty * uni * uni * $int * $int ) > $int ).
tff('#skF_22',type,
'#skF_22': map_int_int ).
tff('#skF_6',type,
'#skF_6': ( uni * $int * uni * ty * $int * uni ) > $int ).
tff(elts,type,
elts: ( ty * uni ) > uni ).
tff('#skF_2',type,
'#skF_2': ( uni * $int * $int * ty * uni ) > $int ).
tff(int,type,
int: ty ).
tff(false1,type,
false1: bool1 ).
tff(map_eq_sub1,type,
map_eq_sub1: ( ty * uni * uni * $int * $int ) > $o ).
tff(tb2t2,type,
tb2t2: uni > array_int ).
tff('#skF_8',type,
'#skF_8': ( map_int_int * map_int_int * $int * $int * $int ) > $int ).
tff(sort1,type,
sort1: ( ty * uni ) > $o ).
tff('#skF_13',type,
'#skF_13': ( uni * $int * uni * $int * $int * $int * ty ) > $int ).
tff(contents,type,
contents: ( ty * uni ) > uni ).
tff(tb2t1,type,
tb2t1: uni > $int ).
tff('#skF_5',type,
'#skF_5': ( $int * $int * map_int_int * map_int_int * $int ) > $int ).
tff(exchange3,type,
exchange3: ( ty * uni * uni * $int * $int ) > $o ).
tff(witness1,type,
witness1: ty > uni ).
tff(permut2,type,
permut2: ( ty * uni * uni * $int * $int ) > $o ).
tff(permut_all,type,
permut_all: ( ty * uni * uni ) > $o ).
tff(real,type,
real: ty ).
tff('#skF_11',type,
'#skF_11': ( uni * ty * $int * uni * $int ) > $int ).
tff(t2tb2,type,
t2tb2: array_int > uni ).
tff('#skF_1',type,
'#skF_1': ( $int * map_int_int * $int * $int ) > $int ).
tff(set,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(match_bool1,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(array,type,
array: ty > ty ).
tff('#skF_15',type,
'#skF_15': map_int_int ).
tff(array_eq,type,
array_eq: ( ty * uni * uni ) > $o ).
tff(make1,type,
make1: ( ty * $int * uni ) > uni ).
tff(exchange2,type,
exchange2: ( ty * uni * uni * $int * $int * $int * $int ) > $o ).
tff('#skF_9',type,
'#skF_9': ( ty * $int * $int * uni * $int * uni ) > $int ).
tff(array_eq_sub1,type,
array_eq_sub1: ( ty * uni * uni * $int * $int ) > $o ).
tff(tuple0,type,
tuple0: ty ).
tff(qtmark,type,
qtmark: ty ).
tff(mk_array2,type,
mk_array2: ( ty * $int * uni ) > uni ).
tff(bool,type,
bool: ty ).
tff(get,type,
get: ( ty * ty * uni * uni ) > uni ).
tff('#skF_4',type,
'#skF_4': ( $int * uni * $int * uni * ty ) > $int ).
tff(t2tb,type,
t2tb: map_int_int > uni ).
tff(mk_array3,type,
mk_array3: ( $int * map_int_int ) > array_int ).
tff(tuple03,type,
tuple03: tuple02 ).
tff(map,type,
map: ( ty * ty ) > ty ).
tff(permut3,type,
permut3: ( ty * uni * uni * $int * $int ) > $o ).
tff(set2,type,
set2: ( ty * uni * $int * uni ) > uni ).
tff(ref,type,
ref: ty > ty ).
tff(tb2t,type,
tb2t: uni > map_int_int ).
tff('#skF_7',type,
'#skF_7': ( uni * ty * $int * uni * $int ) > uni ).
tff('#skF_21',type,
'#skF_21': map_int_int ).
tff(get4,type,
get4: ( ty * uni * $int ) > uni ).
tff('#skF_12',type,
'#skF_12': ( $int * $int * map_int_int * $int * map_int_int * $int ) > $int ).
tff(mk_ref,type,
mk_ref: ( ty * uni ) > uni ).
tff('#skF_3',type,
'#skF_3': ( $int * map_int_int * $int * $int ) > $int ).
tff(f_653,negated_conjecture,
~ ! [Aa: $int,A1: map_int_int,Ma: $int,Na: $int,Ka: $int] :
( ( $lesseq(0,Aa)
& $lesseq(0,Ma)
& $lesseq(Ma,Ka)
& $lesseq(Ka,Na)
& $less(Na,Aa) )
=> ( $less(Ma,Na)
=> ( ( $lesseq(0,Ma)
& $less(Ma,Na)
& $less(Na,Aa) )
=> ! [Ja: $int,Ia: $int,A2: map_int_int] :
( ( $lesseq(0,Aa)
& $lesseq(Ma,Ja)
& $less(Ja,Ia)
& $lesseq(Ia,Na)
& permut_sub3(mk_array3(Aa,A1),mk_array3(Aa,A2),Ma,$sum(Na,1))
& ! [Ra: $int] :
( ( $lesseq(Ma,Ra)
& $lesseq(Ra,Ja) )
=> $lesseq(get3(A2,Ra),42) )
& ! [Ra: $int] :
( ( $less(Ja,Ra)
& $less(Ra,Ia) )
=> ( get3(A2,Ra) = 42 ) )
& ! [Ra: $int] :
( ( $lesseq(Ia,Ra)
& $lesseq(Ra,Na) )
=> $lesseq(42,get3(A2,Ra)) ) )
=> ( $lesseq(Ka,Ja)
=> ( ( $lesseq(0,Ma)
& $lesseq(Ma,Ka)
& $lesseq(Ka,Ja)
& $less(Ja,Aa) )
=> ! [A3: map_int_int] :
( ( $lesseq(0,Aa)
& permut_sub3(mk_array3(Aa,A2),mk_array3(Aa,A3),Ma,$sum(Ja,1))
& ! [Ra: $int] :
( ( $lesseq(Ma,Ra)
& $lesseq(Ra,Ka) )
=> $lesseq(get3(A3,Ra),get3(A3,Ka)) )
& ! [Ra: $int] :
( ( $lesseq(Ka,Ra)
& $lesseq(Ra,Ja) )
=> $lesseq(get3(A3,Ka),get3(A3,Ra)) ) )
=> ( permut_sub3(mk_array3(Aa,A2),mk_array3(Aa,A3),Ma,$sum(Na,1))
=> ( ! [Ra: $int] :
( ( $less(Ja,Ra)
& $lesseq(Ra,Na) )
=> ( get3(A3,Ra) = get3(A2,Ra) ) )
=> ( ! [Ra: $int] :
( ( $lesseq(Ma,Ra)
& $lesseq(Ra,Ja) )
=> ( ? [Sa: $int] :
( $lesseq(Ma,Sa)
& $lesseq(Sa,Ja)
& ( get3(A3,Ra) = get3(A2,Sa) ) )
& $lesseq(get3(A3,Ra),get3(A3,$sum(Ja,1))) ) )
=> ( ~ $lesseq(Ia,Ka)
=> ( permut_sub3(mk_array3(Aa,A3),mk_array3(Aa,A3),Ma,$sum(Na,1))
=> ! [Ra: $int] :
( ( $lesseq(Ia,Ra)
& $lesseq(Ra,Na) )
=> ( ? [Sa: $int] :
( $lesseq(Ia,Sa)
& $lesseq(Sa,Na)
& ( get3(A3,Ra) = get3(A3,Sa) ) )
& $lesseq(get3(A3,$difference(Ia,1)),get3(A3,Ra)) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_find) ).
tff(c_320,plain,
$lesseq('#skF_24','#skF_17'),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_474,plain,
~ $less('#skF_17','#skF_24'),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_320]) ).
tff(c_322,plain,
$lesseq('#skF_20','#skF_24'),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_473,plain,
~ $less('#skF_24','#skF_20'),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_322]) ).
tff(c_318,plain,
! [S_416a: $int] :
( ~ $lesseq(get3('#skF_22',$sum($uminus(1),'#skF_20')),get3('#skF_22','#skF_24'))
| ( get3('#skF_22',S_416a) != get3('#skF_22','#skF_24') )
| ~ $lesseq('#skF_20',S_416a)
| ~ $lesseq(S_416a,'#skF_17') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_478,plain,
! [S_416a: $int] :
( $less(get3('#skF_22','#skF_24'),get3('#skF_22',$sum($uminus(1),'#skF_20')))
| ( get3('#skF_22',S_416a) != get3('#skF_22','#skF_24') )
| $less(S_416a,'#skF_20')
| $less('#skF_17',S_416a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_318]) ).
tff(c_3099,plain,
get3('#skF_22','#skF_24') = '#skE_3',
inference(define,[status(thm),theory(equality)],[c_478]) ).
tff(c_329,plain,
! [R_412a: $int] :
( ( get3('#skF_22',R_412a) = get3('#skF_21',R_412a) )
| ~ $less('#skF_19',R_412a)
| ~ $lesseq(R_412a,'#skF_17') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_467,plain,
! [R_412a: $int] :
( ( get3('#skF_22',R_412a) = get3('#skF_21',R_412a) )
| ~ $less('#skF_19',R_412a)
| $less('#skF_17',R_412a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_329]) ).
tff(c_3106,plain,
get3('#skF_22','#skF_24') = '#skE_3',
inference(define,[status(thm),theory(equality)],[c_478]) ).
tff(c_3200,plain,
( ( get3('#skF_21','#skF_24') = '#skE_3' )
| ~ $less('#skF_19','#skF_24')
| $less('#skF_17','#skF_24') ),
inference(superposition,[status(thm),theory(equality)],[c_467,c_3106]) ).
tff(c_3327,plain,
( ( get3('#skF_21','#skF_24') = '#skE_3' )
| ~ $less('#skF_19','#skF_24') ),
inference(negUnitSimplification,[status(thm)],[c_474,c_3200]) ).
tff(c_3329,plain,
get3('#skF_21','#skF_24') = '#skE_5',
inference(define,[status(thm),theory(equality)],[c_3327]) ).
tff(c_3328,plain,
( ( get3('#skF_21','#skF_24') = '#skE_3' )
| ~ $less('#skF_19','#skF_24') ),
inference(negUnitSimplification,[status(thm)],[c_474,c_3200]) ).
tff(c_3336,plain,
( ( '#skE_5' = '#skE_3' )
| ~ $less('#skF_19','#skF_24') ),
inference(demodulation,[status(thm),theory(equality)],[c_3329,c_3328]) ).
tff(c_3338,plain,
~ $less('#skF_19','#skF_24'),
inference(splitLeft,[status(thm)],[c_3336]) ).
tff(c_436,plain,
$less('#skF_19','#skF_20'),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_3339,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_3338,c_436,c_473]) ).
tff(c_3342,plain,
'#skE_5' = '#skE_3',
inference(splitRight,[status(thm)],[c_3336]) ).
tff(c_3335,plain,
get3('#skF_21','#skF_24') = '#skE_5',
inference(define,[status(thm),theory(equality)],[c_3327]) ).
tff(c_3351,plain,
get3('#skF_21','#skF_24') = '#skE_3',
inference(demodulation,[status(thm),theory(equality)],[c_3342,c_3335]) ).
tff(c_352,plain,
! [R_400a: $int] :
( $lesseq(42,get3('#skF_21',R_400a))
| ~ $lesseq('#skF_20',R_400a)
| ~ $lesseq(R_400a,'#skF_17') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_444,plain,
! [R_400a: $int] :
( ~ $less(get3('#skF_21',R_400a),42)
| $less(R_400a,'#skF_20')
| $less('#skF_17',R_400a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_352]) ).
tff(c_3397,plain,
( ~ $less('#skE_3',42)
| $less('#skF_24','#skF_20')
| $less('#skF_17','#skF_24') ),
inference(superposition,[status(thm),theory(equality)],[c_3351,c_444]) ).
tff(c_3485,plain,
~ $less('#skE_3',42),
inference(negUnitSimplification,[status(thm)],[c_474,c_473,c_3397]) ).
tff(c_443,plain,
! [R_399a: $int] :
( ( get3('#skF_21',R_399a) = 42 )
| ~ $less('#skF_19',R_399a)
| ~ $less(R_399a,'#skF_20') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_381,plain,
! [R_413a: $int] :
( $lesseq(get3('#skF_22',R_413a),get3('#skF_22',$sum(1,'#skF_19')))
| ~ $lesseq('#skF_16',R_413a)
| ~ $lesseq(R_413a,'#skF_19') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_424,plain,
! [R_413a: $int] :
( ~ $less(get3('#skF_22',$sum(1,'#skF_19')),get3('#skF_22',R_413a))
| $less(R_413a,'#skF_16')
| $less('#skF_19',R_413a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_381]) ).
tff(c_1995,plain,
get3('#skF_22',$sum(1,'#skF_19')) = '#skE_2',
inference(define,[status(thm),theory(equality)],[c_424]) ).
tff(c_2048,plain,
( ( get3('#skF_21',$sum(1,'#skF_19')) = '#skE_2' )
| ~ $less('#skF_19',$sum(1,'#skF_19'))
| $less('#skF_17',$sum(1,'#skF_19')) ),
inference(superposition,[status(thm),theory(equality)],[c_467,c_1995]) ).
tff(c_2051,plain,
( ( get3('#skF_21',$sum(1,'#skF_19')) = '#skE_2' )
| $less('#skF_17',$sum(1,'#skF_19')) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_2048]) ).
tff(c_100589,plain,
get3('#skF_21',$sum(1,'#skF_19')) = '#skE_7',
inference(define,[status(thm),theory(equality)],[c_2051]) ).
tff(c_4539,plain,
( ( get3('#skF_21',$sum(1,'#skF_19')) = '#skE_2' )
| $less('#skF_17',$sum(1,'#skF_19')) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_2048]) ).
tff(c_100596,plain,
( ( '#skE_7' = '#skE_2' )
| $less('#skF_17',$sum(1,'#skF_19')) ),
inference(demodulation,[status(thm),theory(equality)],[c_100589,c_4539]) ).
tff(c_100598,plain,
$less('#skF_17',$sum(1,'#skF_19')),
inference(splitLeft,[status(thm)],[c_100596]) ).
tff(c_100682,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_100598,c_436,c_473,c_474]) ).
tff(c_100685,plain,
'#skE_7' = '#skE_2',
inference(splitRight,[status(thm)],[c_100596]) ).
tff(c_100595,plain,
get3('#skF_21',$sum(1,'#skF_19')) = '#skE_7',
inference(define,[status(thm),theory(equality)],[c_2051]) ).
tff(c_100698,plain,
get3('#skF_21',$sum(1,'#skF_19')) = '#skE_2',
inference(demodulation,[status(thm),theory(equality)],[c_100685,c_100595]) ).
tff(c_100776,plain,
( ( '#skE_2' = 42 )
| ~ $less('#skF_19',$sum(1,'#skF_19'))
| ~ $less($sum(1,'#skF_19'),'#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_443,c_100698]) ).
tff(c_100778,plain,
( ( '#skE_2' = 42 )
| ~ $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_100776]) ).
tff(c_100784,plain,
~ $less($sum(1,'#skF_19'),'#skF_20'),
inference(splitLeft,[status(thm)],[c_100778]) ).
tff(c_3205,plain,
get3('#skF_22',$sum($uminus(1),'#skF_20')) = '#skE_4',
inference(define,[status(thm),theory(equality)],[c_478]) ).
tff(c_336,plain,
! [R_410a: $int] :
( $lesseq(get3('#skF_22',R_410a),get3('#skF_22','#skF_18'))
| ~ $lesseq('#skF_16',R_410a)
| ~ $lesseq(R_410a,'#skF_18') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_458,plain,
! [R_410a: $int] :
( ~ $less(get3('#skF_22','#skF_18'),get3('#skF_22',R_410a))
| $less(R_410a,'#skF_16')
| $less('#skF_18',R_410a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_336]) ).
tff(c_1724,plain,
get3('#skF_22','#skF_18') = '#skE_1',
inference(define,[status(thm),theory(equality)],[c_458]) ).
tff(c_647,plain,
! [R_410a: $int] :
( ~ $less(get3('#skF_22','#skF_18'),get3('#skF_22',R_410a))
| $less(R_410a,'#skF_16')
| $less('#skF_18',R_410a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_336]) ).
tff(c_1734,plain,
! [R_410a: $int] :
( ~ $less('#skE_1',get3('#skF_22',R_410a))
| $less(R_410a,'#skF_16')
| $less('#skF_18',R_410a) ),
inference(demodulation,[status(thm),theory(equality)],[c_1724,c_647]) ).
tff(c_3277,plain,
( ~ $less('#skE_1','#skE_4')
| $less($sum($uminus(1),'#skF_20'),'#skF_16')
| $less('#skF_18',$sum($uminus(1),'#skF_20')) ),
inference(superposition,[status(thm),theory(equality)],[c_3205,c_1734]) ).
tff(c_3279,plain,
( ~ $less('#skE_1','#skE_4')
| $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_18'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3277]) ).
tff(c_101365,plain,
~ $less('#skE_1','#skE_4'),
inference(splitLeft,[status(thm)],[c_3279]) ).
tff(c_350,plain,
$lesseq('#skF_18','#skF_19'),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_445,plain,
~ $less('#skF_19','#skF_18'),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_350]) ).
tff(c_375,plain,
$lesseq('#skF_16','#skF_18'),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_427,plain,
~ $less('#skF_18','#skF_16'),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_375]) ).
tff(c_4540,plain,
get3('#skF_21',$sum(1,'#skF_19')) = '#skE_7',
inference(define,[status(thm),theory(equality)],[c_2051]) ).
tff(c_4547,plain,
( ( '#skE_7' = '#skE_2' )
| $less('#skF_17',$sum(1,'#skF_19')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4540,c_4539]) ).
tff(c_4549,plain,
$less('#skF_17',$sum(1,'#skF_19')),
inference(splitLeft,[status(thm)],[c_4547]) ).
tff(c_4550,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_4549,c_436,c_473,c_474]) ).
tff(c_4553,plain,
'#skE_7' = '#skE_2',
inference(splitRight,[status(thm)],[c_4547]) ).
tff(c_4546,plain,
get3('#skF_21',$sum(1,'#skF_19')) = '#skE_7',
inference(define,[status(thm),theory(equality)],[c_2051]) ).
tff(c_4562,plain,
get3('#skF_21',$sum(1,'#skF_19')) = '#skE_2',
inference(demodulation,[status(thm),theory(equality)],[c_4553,c_4546]) ).
tff(c_4629,plain,
( ( '#skE_2' = 42 )
| ~ $less('#skF_19',$sum(1,'#skF_19'))
| ~ $less($sum(1,'#skF_19'),'#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_4562,c_443]) ).
tff(c_4631,plain,
( ( '#skE_2' = 42 )
| ~ $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_4629]) ).
tff(c_4646,plain,
~ $less($sum(1,'#skF_19'),'#skF_20'),
inference(splitLeft,[status(thm)],[c_4631]) ).
tff(c_5230,plain,
~ $less('#skE_1','#skE_4'),
inference(splitLeft,[status(thm)],[c_3279]) ).
tff(c_383,plain,
! [R_413a: $int] :
( ( get3('#skF_22',R_413a) = get3('#skF_21','#skF_23'(R_413a)) )
| ~ $lesseq('#skF_16',R_413a)
| ~ $lesseq(R_413a,'#skF_19') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_420,plain,
! [R_413a: $int] :
( ( get3('#skF_22',R_413a) = get3('#skF_21','#skF_23'(R_413a)) )
| $less(R_413a,'#skF_16')
| $less('#skF_19',R_413a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_383]) ).
tff(c_1737,plain,
get3('#skF_22','#skF_18') = '#skE_1',
inference(define,[status(thm),theory(equality)],[c_458]) ).
tff(c_1770,plain,
( ( get3('#skF_21','#skF_23'('#skF_18')) = '#skE_1' )
| $less('#skF_18','#skF_16')
| $less('#skF_19','#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_420,c_1737]) ).
tff(c_3582,plain,
get3('#skF_21','#skF_23'('#skF_18')) = '#skE_1',
inference(negUnitSimplification,[status(thm)],[c_445,c_427,c_1770]) ).
tff(c_3597,plain,
'#skF_23'('#skF_18') = '#skE_6',
inference(define,[status(thm),theory(equality)],[c_3582]) ).
tff(c_385,plain,
! [R_413a: $int] :
( $lesseq('#skF_23'(R_413a),'#skF_19')
| ~ $lesseq('#skF_16',R_413a)
| ~ $lesseq(R_413a,'#skF_19') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_419,plain,
! [R_413a: $int] :
( ~ $less('#skF_19','#skF_23'(R_413a))
| $less(R_413a,'#skF_16')
| $less('#skF_19',R_413a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_385]) ).
tff(c_3616,plain,
( ~ $less('#skF_19','#skE_6')
| $less('#skF_18','#skF_16')
| $less('#skF_19','#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_3597,c_419]) ).
tff(c_3696,plain,
~ $less('#skF_19','#skE_6'),
inference(negUnitSimplification,[status(thm)],[c_445,c_427,c_3616]) ).
tff(c_3584,plain,
'#skF_23'('#skF_18') = '#skE_6',
inference(define,[status(thm),theory(equality)],[c_3582]) ).
tff(c_3583,plain,
get3('#skF_21','#skF_23'('#skF_18')) = '#skE_1',
inference(negUnitSimplification,[status(thm)],[c_445,c_427,c_1770]) ).
tff(c_3622,plain,
get3('#skF_21','#skE_6') = '#skE_1',
inference(demodulation,[status(thm),theory(equality)],[c_3584,c_3583]) ).
tff(c_3687,plain,
( ( '#skE_1' = 42 )
| ~ $less('#skF_19','#skE_6')
| ~ $less('#skE_6','#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_443,c_3622]) ).
tff(c_3694,plain,
~ $less('#skE_6','#skF_20'),
inference(splitLeft,[status(thm)],[c_3687]) ).
tff(c_3697,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_3696,c_3694,c_436]) ).
tff(c_3700,plain,
( ~ $less('#skF_19','#skE_6')
| ( '#skE_1' = 42 ) ),
inference(splitRight,[status(thm)],[c_3687]) ).
tff(c_3703,plain,
~ $less('#skF_19','#skE_6'),
inference(splitLeft,[status(thm)],[c_3700]) ).
tff(c_387,plain,
! [R_413a: $int] :
( $lesseq('#skF_16','#skF_23'(R_413a))
| ~ $lesseq('#skF_16',R_413a)
| ~ $lesseq(R_413a,'#skF_19') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_415,plain,
! [R_413a: $int] :
( ~ $less('#skF_23'(R_413a),'#skF_16')
| $less(R_413a,'#skF_16')
| $less('#skF_19',R_413a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_387]) ).
tff(c_3614,plain,
( ~ $less('#skE_6','#skF_16')
| $less('#skF_18','#skF_16')
| $less('#skF_19','#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_3597,c_415]) ).
tff(c_3692,plain,
~ $less('#skE_6','#skF_16'),
inference(negUnitSimplification,[status(thm)],[c_445,c_427,c_3614]) ).
tff(c_355,plain,
! [R_398a: $int] :
( $lesseq(get3('#skF_21',R_398a),42)
| ~ $lesseq('#skF_16',R_398a)
| ~ $lesseq(R_398a,'#skF_19') ),
inference(cnfTransformation,[status(thm)],[f_653]) ).
tff(c_442,plain,
! [R_398a: $int] :
( ~ $less(42,get3('#skF_21',R_398a))
| $less(R_398a,'#skF_16')
| $less('#skF_19',R_398a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_355]) ).
tff(c_3678,plain,
( ~ $less(42,'#skE_1')
| $less('#skE_6','#skF_16')
| $less('#skF_19','#skE_6') ),
inference(superposition,[status(thm),theory(equality)],[c_3622,c_442]) ).
tff(c_3709,plain,
~ $less(42,'#skE_1'),
inference(negUnitSimplification,[status(thm)],[c_3703,c_3692,c_3678]) ).
tff(c_3091,plain,
get3('#skF_22','#skF_24') = '#skE_3',
inference(define,[status(thm),theory(equality)],[c_478]) ).
tff(c_3092,plain,
get3('#skF_22',$sum($uminus(1),'#skF_20')) = '#skE_4',
inference(define,[status(thm),theory(equality)],[c_478]) ).
tff(c_655,plain,
! [S_416a: $int] :
( $less(get3('#skF_22','#skF_24'),get3('#skF_22',$sum($uminus(1),'#skF_20')))
| ( get3('#skF_22',S_416a) != get3('#skF_22','#skF_24') )
| $less(S_416a,'#skF_20')
| $less('#skF_17',S_416a) ),
inference(backgroundSimplification,[status(thm),theory('LRFIA')],[c_318]) ).
tff(c_3103,plain,
! [S_416a: $int] :
( $less('#skE_3','#skE_4')
| ( get3('#skF_22',S_416a) != '#skE_3' )
| $less(S_416a,'#skF_20')
| $less('#skF_17',S_416a) ),
inference(demodulation,[status(thm),theory(equality)],[c_3091,c_3092,c_3091,c_655]) ).
tff(c_3520,plain,
$less('#skE_3','#skE_4'),
inference(splitLeft,[status(thm)],[c_3103]) ).
tff(c_5231,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_5230,c_3709,c_3520,c_3485]) ).
tff(c_5234,plain,
( $less($sum(1,'#skF_18'),'#skF_20')
| $less('#skF_20',$sum(1,'#skF_16')) ),
inference(splitRight,[status(thm)],[c_3279]) ).
tff(c_5283,plain,
$less('#skF_20',$sum(1,'#skF_16')),
inference(splitLeft,[status(thm)],[c_5234]) ).
tff(c_5284,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_5283,c_436,c_427,c_445]) ).
tff(c_5288,plain,
~ $less('#skF_20',$sum(1,'#skF_16')),
inference(splitRight,[status(thm)],[c_5234]) ).
tff(c_3313,plain,
( ( get3('#skF_21','#skF_23'($sum($uminus(1),'#skF_20'))) = '#skE_4' )
| $less($sum($uminus(1),'#skF_20'),'#skF_16')
| $less('#skF_19',$sum($uminus(1),'#skF_20')) ),
inference(superposition,[status(thm),theory(equality)],[c_420,c_3205]) ).
tff(c_3316,plain,
( ( get3('#skF_21','#skF_23'($sum($uminus(1),'#skF_20'))) = '#skE_4' )
| $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3313]) ).
tff(c_30146,plain,
get3('#skF_21','#skF_23'($sum($uminus(1),'#skF_20'))) = '#skE_4',
inference(negUnitSimplification,[status(thm)],[c_4646,c_5288,c_3316]) ).
tff(c_30406,plain,
'#skF_23'($sum($uminus(1),'#skF_20')) = '#skE_10',
inference(define,[status(thm),theory(equality)],[c_30146]) ).
tff(c_30559,plain,
( ~ $less('#skF_19','#skE_10')
| $less($sum($uminus(1),'#skF_20'),'#skF_16')
| $less('#skF_19',$sum($uminus(1),'#skF_20')) ),
inference(superposition,[status(thm),theory(equality)],[c_30406,c_419]) ).
tff(c_30561,plain,
( ~ $less('#skF_19','#skE_10')
| $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_30559]) ).
tff(c_31099,plain,
~ $less('#skF_19','#skE_10'),
inference(negUnitSimplification,[status(thm)],[c_4646,c_5288,c_30561]) ).
tff(c_30556,plain,
( ~ $less('#skE_10','#skF_16')
| $less($sum($uminus(1),'#skF_20'),'#skF_16')
| $less('#skF_19',$sum($uminus(1),'#skF_20')) ),
inference(superposition,[status(thm),theory(equality)],[c_30406,c_415]) ).
tff(c_30558,plain,
( ~ $less('#skE_10','#skF_16')
| $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_30556]) ).
tff(c_30572,plain,
~ $less('#skE_10','#skF_16'),
inference(negUnitSimplification,[status(thm)],[c_4646,c_5288,c_30558]) ).
tff(c_30405,plain,
'#skF_23'($sum($uminus(1),'#skF_20')) = '#skE_10',
inference(define,[status(thm),theory(equality)],[c_30146]) ).
tff(c_3294,plain,
( ( get3('#skF_21','#skF_23'($sum($uminus(1),'#skF_20'))) = '#skE_4' )
| $less($sum($uminus(1),'#skF_20'),'#skF_16')
| $less('#skF_19',$sum($uminus(1),'#skF_20')) ),
inference(superposition,[status(thm),theory(equality)],[c_3205,c_420]) ).
tff(c_3297,plain,
( ( get3('#skF_21','#skF_23'($sum($uminus(1),'#skF_20'))) = '#skE_4' )
| $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3294]) ).
tff(c_31809,plain,
( ( get3('#skF_21','#skE_10') = '#skE_4' )
| $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_19'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_30405,c_3297]) ).
tff(c_31815,plain,
get3('#skF_21','#skE_10') = '#skE_4',
inference(negUnitSimplification,[status(thm)],[c_4646,c_5288,c_31809]) ).
tff(c_31928,plain,
( ~ $less(42,'#skE_4')
| $less('#skE_10','#skF_16')
| $less('#skF_19','#skE_10') ),
inference(superposition,[status(thm),theory(equality)],[c_31815,c_442]) ).
tff(c_33854,plain,
~ $less(42,'#skE_4'),
inference(negUnitSimplification,[status(thm)],[c_31099,c_30572,c_31928]) ).
tff(c_33855,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_33854,c_3520,c_3485]) ).
tff(c_33858,plain,
'#skE_2' = 42,
inference(splitRight,[status(thm)],[c_4631]) ).
tff(c_1989,plain,
get3('#skF_22',$sum(1,'#skF_19')) = '#skE_2',
inference(define,[status(thm),theory(equality)],[c_424]) ).
tff(c_2751,plain,
! [R_1184a: $int] :
( ~ $less('#skE_1',get3('#skF_22',R_1184a))
| $less(R_1184a,'#skF_16')
| $less('#skF_18',R_1184a) ),
inference(demodulation,[status(thm),theory(equality)],[c_1724,c_647]) ).
tff(c_2765,plain,
( ~ $less('#skE_1','#skE_2')
| $less($sum(1,'#skF_19'),'#skF_16')
| $less('#skF_18',$sum(1,'#skF_19')) ),
inference(superposition,[status(thm),theory(equality)],[c_1989,c_2751]) ).
tff(c_34279,plain,
( ~ $less('#skE_1',42)
| $less($sum(1,'#skF_19'),'#skF_16')
| $less('#skF_18',$sum(1,'#skF_19')) ),
inference(demodulation,[status(thm),theory(equality)],[c_33858,c_2765]) ).
tff(c_34281,plain,
~ $less('#skE_1',42),
inference(splitLeft,[status(thm)],[c_34279]) ).
tff(c_33859,plain,
$less($sum(1,'#skF_19'),'#skF_20'),
inference(splitRight,[status(thm)],[c_4631]) ).
tff(c_3298,plain,
( ( get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_4' )
| ~ $less('#skF_19',$sum($uminus(1),'#skF_20'))
| $less('#skF_17',$sum($uminus(1),'#skF_20')) ),
inference(superposition,[status(thm),theory(equality)],[c_3205,c_467]) ).
tff(c_3301,plain,
( ( get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_4' )
| ~ $less($sum(1,'#skF_19'),'#skF_20')
| $less($sum(1,'#skF_17'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_3298]) ).
tff(c_50409,plain,
( ( get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_4' )
| $less($sum(1,'#skF_17'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_33859,c_3301]) ).
tff(c_51133,plain,
get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_11',
inference(define,[status(thm),theory(equality)],[c_50409]) ).
tff(c_51252,plain,
( ( '#skE_11' = 42 )
| ~ $less('#skF_19',$sum($uminus(1),'#skF_20'))
| ~ $less($sum($uminus(1),'#skF_20'),'#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_51133,c_443]) ).
tff(c_51254,plain,
( ( '#skE_11' = 42 )
| ~ $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_51252]) ).
tff(c_51274,plain,
'#skE_11' = 42,
inference(demodulation,[status(thm),theory(equality)],[c_33859,c_51254]) ).
tff(c_50411,plain,
get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_11',
inference(define,[status(thm),theory(equality)],[c_50409]) ).
tff(c_50410,plain,
( ( get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_4' )
| $less($sum(1,'#skF_17'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_33859,c_3301]) ).
tff(c_50418,plain,
( ( '#skE_4' = '#skE_11' )
| $less($sum(1,'#skF_17'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_50411,c_50410]) ).
tff(c_66610,plain,
( ( '#skE_4' = 42 )
| $less($sum(1,'#skF_17'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_51274,c_50418]) ).
tff(c_66612,plain,
$less($sum(1,'#skF_17'),'#skF_20'),
inference(splitLeft,[status(thm)],[c_66610]) ).
tff(c_66682,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_66612,c_473,c_474]) ).
tff(c_66685,plain,
'#skE_4' = 42,
inference(splitRight,[status(thm)],[c_66610]) ).
tff(c_34702,plain,
~ $less('#skE_1','#skE_4'),
inference(splitLeft,[status(thm)],[c_3279]) ).
tff(c_34707,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_34702,c_3709,c_3520,c_3485]) ).
tff(c_34711,plain,
$less('#skE_1','#skE_4'),
inference(splitRight,[status(thm)],[c_3279]) ).
tff(c_66688,plain,
$less('#skE_1',42),
inference(demodulation,[status(thm),theory(equality)],[c_66685,c_34711]) ).
tff(c_66697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34281,c_66688]) ).
tff(c_66701,plain,
$less('#skE_1',42),
inference(splitRight,[status(thm)],[c_34279]) ).
tff(c_3171,plain,
( ~ $less('#skE_1','#skE_3')
| $less('#skF_24','#skF_16')
| $less('#skF_18','#skF_24') ),
inference(superposition,[status(thm),theory(equality)],[c_3106,c_1734]) ).
tff(c_3518,plain,
~ $less('#skE_1','#skE_3'),
inference(splitLeft,[status(thm)],[c_3171]) ).
tff(c_66726,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_66701,c_3518,c_3485]) ).
tff(c_66730,plain,
$less('#skF_19','#skE_6'),
inference(splitRight,[status(thm)],[c_3700]) ).
tff(c_66867,plain,
( $less('#skF_18','#skF_16')
| $less('#skF_19','#skF_18') ),
inference(demodulation,[status(thm),theory(equality)],[c_66730,c_3616]) ).
tff(c_66868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_445,c_427,c_66867]) ).
tff(c_66881,plain,
! [S_6591a: $int] :
( ( get3('#skF_22',S_6591a) != '#skE_3' )
| $less(S_6591a,'#skF_20')
| $less('#skF_17',S_6591a) ),
inference(splitRight,[status(thm)],[c_3103]) ).
tff(c_66904,plain,
( $less('#skF_24','#skF_20')
| $less('#skF_17','#skF_24') ),
inference(superposition,[status(thm),theory(equality)],[c_3099,c_66881]) ).
tff(c_66913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_474,c_473,c_66904]) ).
tff(c_66917,plain,
$less('#skE_1','#skE_3'),
inference(splitRight,[status(thm)],[c_3171]) ).
tff(c_66919,plain,
$less('#skE_3','#skE_4'),
inference(splitLeft,[status(thm)],[c_3103]) ).
tff(c_101375,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_101365,c_66917,c_66919]) ).
tff(c_101378,plain,
( $less($sum(1,'#skF_18'),'#skF_20')
| $less('#skF_20',$sum(1,'#skF_16')) ),
inference(splitRight,[status(thm)],[c_3279]) ).
tff(c_101381,plain,
$less('#skF_20',$sum(1,'#skF_16')),
inference(splitLeft,[status(thm)],[c_101378]) ).
tff(c_101435,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_101381,c_436,c_427,c_445]) ).
tff(c_101439,plain,
~ $less('#skF_20',$sum(1,'#skF_16')),
inference(splitRight,[status(thm)],[c_101378]) ).
tff(c_118518,plain,
get3('#skF_21','#skF_23'($sum($uminus(1),'#skF_20'))) = '#skE_4',
inference(negUnitSimplification,[status(thm)],[c_100784,c_101439,c_3316]) ).
tff(c_118520,plain,
'#skF_23'($sum($uminus(1),'#skF_20')) = '#skE_10',
inference(define,[status(thm),theory(equality)],[c_118518]) ).
tff(c_118519,plain,
get3('#skF_21','#skF_23'($sum($uminus(1),'#skF_20'))) = '#skE_4',
inference(negUnitSimplification,[status(thm)],[c_100784,c_101439,c_3316]) ).
tff(c_118533,plain,
get3('#skF_21','#skE_10') = '#skE_4',
inference(demodulation,[status(thm),theory(equality)],[c_118520,c_118519]) ).
tff(c_118658,plain,
( ~ $less(42,'#skE_4')
| $less('#skE_10','#skF_16')
| $less('#skF_19','#skE_10') ),
inference(superposition,[status(thm),theory(equality)],[c_118533,c_442]) ).
tff(c_118843,plain,
~ $less(42,'#skE_4'),
inference(splitLeft,[status(thm)],[c_118658]) ).
tff(c_118844,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_118843,c_66919,c_3485]) ).
tff(c_118847,plain,
( $less('#skF_19','#skE_10')
| $less('#skE_10','#skF_16') ),
inference(splitRight,[status(thm)],[c_118658]) ).
tff(c_118854,plain,
$less('#skE_10','#skF_16'),
inference(splitLeft,[status(thm)],[c_118847]) ).
tff(c_118672,plain,
( ( '#skE_4' = 42 )
| ~ $less('#skF_19','#skE_10')
| ~ $less('#skE_10','#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_443,c_118533]) ).
tff(c_118838,plain,
~ $less('#skE_10','#skF_20'),
inference(splitLeft,[status(thm)],[c_118672]) ).
tff(c_118855,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_118854,c_118838,c_436,c_427,c_445]) ).
tff(c_118858,plain,
$less('#skF_19','#skE_10'),
inference(splitRight,[status(thm)],[c_118847]) ).
tff(c_118679,plain,
'#skF_23'($sum($uminus(1),'#skF_20')) = '#skE_10',
inference(define,[status(thm),theory(equality)],[c_118518]) ).
tff(c_118826,plain,
( ~ $less('#skF_19','#skE_10')
| $less($sum($uminus(1),'#skF_20'),'#skF_16')
| $less('#skF_19',$sum($uminus(1),'#skF_20')) ),
inference(superposition,[status(thm),theory(equality)],[c_118679,c_419]) ).
tff(c_118828,plain,
( ~ $less('#skF_19','#skE_10')
| $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_118826]) ).
tff(c_119331,plain,
( $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_19'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_118858,c_118828]) ).
tff(c_119332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100784,c_101439,c_119331]) ).
tff(c_119336,plain,
$less('#skE_10','#skF_20'),
inference(splitRight,[status(thm)],[c_118672]) ).
tff(c_118660,plain,
( ( '#skE_4' = 42 )
| ~ $less('#skF_19','#skE_10')
| ~ $less('#skE_10','#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_118533,c_443]) ).
tff(c_119339,plain,
( ( '#skE_4' = 42 )
| ~ $less('#skF_19','#skE_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_119336,c_118660]) ).
tff(c_119341,plain,
~ $less('#skF_19','#skE_10'),
inference(splitLeft,[status(thm)],[c_119339]) ).
tff(c_119812,plain,
( ~ $less(42,'#skE_4')
| $less('#skE_10','#skF_16') ),
inference(negUnitSimplification,[status(thm)],[c_119341,c_118658]) ).
tff(c_119814,plain,
~ $less(42,'#skE_4'),
inference(splitLeft,[status(thm)],[c_119812]) ).
tff(c_119953,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_119814,c_66919,c_3485]) ).
tff(c_119956,plain,
$less('#skE_10','#skF_16'),
inference(splitRight,[status(thm)],[c_119812]) ).
tff(c_118823,plain,
( ~ $less('#skE_10','#skF_16')
| $less($sum($uminus(1),'#skF_20'),'#skF_16')
| $less('#skF_19',$sum($uminus(1),'#skF_20')) ),
inference(superposition,[status(thm),theory(equality)],[c_118679,c_415]) ).
tff(c_118825,plain,
( ~ $less('#skE_10','#skF_16')
| $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_118823]) ).
tff(c_119959,plain,
( $less('#skF_20',$sum(1,'#skF_16'))
| $less($sum(1,'#skF_19'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_119956,c_118825]) ).
tff(c_119960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100784,c_101439,c_119959]) ).
tff(c_119963,plain,
'#skE_4' = 42,
inference(splitRight,[status(thm)],[c_119339]) ).
tff(c_119977,plain,
$less('#skE_3',42),
inference(demodulation,[status(thm),theory(equality)],[c_119963,c_66919]) ).
tff(c_119988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3485,c_119977]) ).
tff(c_119992,plain,
$less($sum(1,'#skF_19'),'#skF_20'),
inference(splitRight,[status(thm)],[c_100778]) ).
tff(c_135743,plain,
( ( get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_4' )
| $less($sum(1,'#skF_17'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_119992,c_3301]) ).
tff(c_135776,plain,
get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_11',
inference(define,[status(thm),theory(equality)],[c_135743]) ).
tff(c_135909,plain,
( ( '#skE_11' = 42 )
| ~ $less('#skF_19',$sum($uminus(1),'#skF_20'))
| ~ $less($sum($uminus(1),'#skF_20'),'#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_135776,c_443]) ).
tff(c_135911,plain,
( ( '#skE_11' = 42 )
| ~ $less($sum(1,'#skF_19'),'#skF_20') ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_135909]) ).
tff(c_135930,plain,
'#skE_11' = 42,
inference(demodulation,[status(thm),theory(equality)],[c_119992,c_135911]) ).
tff(c_135745,plain,
get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_11',
inference(define,[status(thm),theory(equality)],[c_135743]) ).
tff(c_135744,plain,
( ( get3('#skF_21',$sum($uminus(1),'#skF_20')) = '#skE_4' )
| $less($sum(1,'#skF_17'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_119992,c_3301]) ).
tff(c_135752,plain,
( ( '#skE_4' = '#skE_11' )
| $less($sum(1,'#skF_17'),'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_135745,c_135744]) ).
tff(c_135754,plain,
$less($sum(1,'#skF_17'),'#skF_20'),
inference(splitLeft,[status(thm)],[c_135752]) ).
tff(c_135755,plain,
$false,
inference(close,[status(thm),theory('LIA')],[c_135754,c_473,c_474]) ).
tff(c_135758,plain,
'#skE_4' = '#skE_11',
inference(splitRight,[status(thm)],[c_135752]) ).
tff(c_135770,plain,
$less('#skE_3','#skE_11'),
inference(demodulation,[status(thm),theory(equality)],[c_135758,c_66919]) ).
tff(c_135937,plain,
$less('#skE_3',42),
inference(demodulation,[status(thm),theory(equality)],[c_135930,c_135770]) ).
tff(c_135946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3485,c_135937]) ).
tff(c_135964,plain,
! [S_11526a: $int] :
( ( get3('#skF_22',S_11526a) != '#skE_3' )
| $less(S_11526a,'#skF_20')
| $less('#skF_17',S_11526a) ),
inference(splitRight,[status(thm)],[c_3103]) ).
tff(c_135987,plain,
( $less('#skF_24','#skF_20')
| $less('#skF_17','#skF_24') ),
inference(superposition,[status(thm),theory(equality)],[c_3099,c_135964]) ).
tff(c_135996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_474,c_473,c_135987]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW575_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 19:45:38 EDT 2023
% 0.15/0.36 % CPUTime :
% 55.84/25.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.93/25.59
% 55.93/25.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 55.93/25.63
% 55.93/25.63 Inference rules
% 55.93/25.63 ----------------------
% 55.93/25.63 #Ref : 9
% 55.93/25.63 #Sup : 26081
% 55.93/25.63 #Fact : 21
% 55.93/25.63 #Define : 25
% 55.93/25.63 #Split : 89
% 55.93/25.63 #Chain : 0
% 55.93/25.63 #Close : 39
% 55.93/25.63
% 55.93/25.63 Ordering : LPO
% 55.93/25.63
% 55.93/25.63 Simplification rules
% 55.93/25.63 ----------------------
% 55.93/25.63 #Subsume : 2554
% 55.93/25.63 #Demod : 17033
% 55.93/25.63 #Tautology : 12880
% 55.93/25.63 #SimpNegUnit : 248
% 55.93/25.63 #BackRed : 101
% 55.93/25.63
% 55.93/25.63 #Partial instantiations: 1851
% 55.93/25.63 #Strategies tried : 1
% 55.93/25.63
% 55.93/25.63 Timing (in seconds)
% 55.93/25.63 ----------------------
% 55.93/25.64 Preprocessing : 1.27
% 55.93/25.64 Parsing : 0.55
% 55.93/25.64 CNF conversion : 0.10
% 55.93/25.64 Main loop : 23.25
% 55.93/25.64 Inferencing : 3.86
% 55.93/25.64 Reduction : 9.26
% 55.93/25.64 Demodulation : 7.48
% 55.93/25.64 BG Simplification : 0.86
% 55.93/25.64 Subsumption : 6.34
% 55.93/25.64 Abstraction : 0.48
% 55.93/25.64 MUC search : 1.31
% 55.93/25.64 Cooper : 1.79
% 55.93/25.64 Total : 24.61
% 55.93/25.64 Index Insertion : 0.00
% 55.93/25.64 Index Deletion : 0.00
% 55.93/25.64 Index Matching : 0.00
% 55.93/25.64 BG Taut test : 0.00
%------------------------------------------------------------------------------