TSTP Solution File: PLA049_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PLA049_1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n027.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 : Thu Aug 31 13:04:20 EDT 2023
% Result : Theorem 160.93s 23.43s
% Output : Refutation 160.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 44
% Syntax : Number of formulae : 195 ( 114 unt; 14 typ; 0 def)
% Number of atoms : 334 ( 155 equ)
% Maximal formula atoms : 22 ( 1 avg)
% Number of connectives : 232 ( 79 ~; 60 |; 80 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 1757 ( 178 atm; 764 fun; 464 num; 351 var)
% Number of types : 2 ( 0 usr; 2 ari)
% Number of type conns : 20 ( 8 >; 12 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 14 usr; 19 con; 0-4 aty)
% Number of variables : 351 (; 339 !; 12 ?; 351 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
lk: $int > $int ).
tff(func_def_1,type,
ns: $int > $int ).
tff(func_def_2,type,
dc: ( $real * $int * $int ) > $real ).
tff(func_def_3,type,
imp: ( $real * $int * $int ) > $real ).
tff(func_def_4,type,
recexp: ( $real * $int * $int ) > $real ).
tff(func_def_5,type,
mylk: $int > $int ).
tff(func_def_6,type,
mysumr: ( $real * $int * $int * $int ) > $real ).
tff(func_def_7,type,
mysump: ( $real * $int * $int * $int ) > $real ).
tff(func_def_8,type,
problen: $int ).
tff(func_def_9,type,
probsize: $int ).
tff(func_def_29,type,
sK0: $real ).
tff(func_def_30,type,
sK1: $int ).
tff(func_def_31,type,
sK2: $int ).
tff(func_def_32,type,
sK3: $int ).
tff(f540568,plain,
$false,
inference(evaluation,[],[f540530]) ).
tff(f540530,plain,
$less($sum(0.9,$product(2.0,0.0)),0.0),
inference(backward_demodulation,[],[f512827,f537438]) ).
tff(f537438,plain,
! [X0: $real] : ( 0.0 = $uminus(X0) ),
inference(forward_demodulation,[],[f537435,f526187]) ).
tff(f526187,plain,
! [X6: $int,X5: $real] : ( $uminus(X5) = mysump(X5,X6,1,-1) ),
inference(evaluation,[],[f526186]) ).
tff(f526186,plain,
! [X6: $int,X5: $real] : ( $uminus(X5) = $sum(mysump(X5,X6,1,-1),$uminus(0.0)) ),
inference(forward_demodulation,[],[f518819,f197]) ).
tff(f197,plain,
! [X1: $real] : ( 0.0 = $product(0.0,X1) ),
inference(superposition,[],[f60,f63]) ).
tff(f63,plain,
! [X0: $real] : ( 0.0 = $product(X0,0.0) ),
introduced(theory_axiom_152,[]) ).
tff(f60,plain,
! [X0: $real,X1: $real] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f518819,plain,
! [X6: $int,X5: $real] : ( $uminus(X5) = $sum(mysump(X5,X6,1,-1),$uminus($product(0.0,imp(X5,X6,1)))) ),
inference(backward_demodulation,[],[f144112,f517826]) ).
tff(f517826,plain,
! [X1: $int] : ( 0.0 = $to_real(X1) ),
inference(backward_demodulation,[],[f517822,f517825]) ).
tff(f517825,plain,
! [X0: $real] : ( 0.0 = $uminus($product(X0,$to_real(mylk(1)))) ),
inference(subsumption_resolution,[],[f517650,f15943]) ).
tff(f15943,plain,
~ $less(sK2,1),
inference(evaluation,[],[f15936]) ).
tff(f15936,plain,
~ $less(sK2,$sum(1,0)),
inference(unit_resulting_resolution,[],[f15759,f232]) ).
tff(f232,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f48,f31]) ).
tff(f31,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f48,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_164,[]) ).
tff(f15759,plain,
$less(0,sK2),
inference(evaluation,[],[f15752]) ).
tff(f15752,plain,
$less(0,$sum($sum(2,sK2),$uminus(2))),
inference(unit_resulting_resolution,[],[f1295,f360]) ).
tff(f360,plain,
! [X2: $int,X3: $int] :
( $less(0,$sum(X3,$uminus(X2)))
| ~ $less(X2,X3) ),
inference(superposition,[],[f39,f35]) ).
tff(f35,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f39,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f1295,plain,
$less(2,$sum(2,sK2)),
inference(evaluation,[],[f1216]) ).
tff(f1216,plain,
$less(2,$sum($sum(1,sK2),1)),
inference(unit_resulting_resolution,[],[f226,f220,f37]) ).
tff(f37,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_146,[]) ).
tff(f220,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(unit_resulting_resolution,[],[f36,f40]) ).
tff(f40,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f36,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_145,[]) ).
tff(f226,plain,
$less(2,$sum(1,sK2)),
inference(forward_demodulation,[],[f218,f31]) ).
tff(f218,plain,
$less(2,$sum(sK2,1)),
inference(unit_resulting_resolution,[],[f92,f40]) ).
tff(f92,plain,
~ $less(sK2,2),
inference(cnf_transformation,[],[f91]) ).
tff(f91,plain,
( $less(1.0,sK0)
& ~ $less(10.0,sK0)
& ~ $less(sK0,0.9)
& ~ $less(recexp(sK0,probsize,4),$to_real(probsize))
& ~ $less(problen,$product(sK1,2))
& ( probsize = sK3 )
& ~ $less(10000,sK3)
& ~ $less(sK3,$product(sK2,sK2))
& ( problen = sK2 )
& ~ $less(50,sK2)
& ~ $less(sK2,2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f79,f90]) ).
tff(f90,plain,
( ? [X0: $real,X1: $int,X2: $int,X3: $int] :
( $less(1.0,X0)
& ~ $less(10.0,X0)
& ~ $less(X0,0.9)
& ~ $less(recexp(X0,probsize,4),$to_real(probsize))
& ~ $less(problen,$product(X1,2))
& ( probsize = X3 )
& ~ $less(10000,X3)
& ~ $less(X3,$product(X2,X2))
& ( problen = X2 )
& ~ $less(50,X2)
& ~ $less(X2,2) )
=> ( $less(1.0,sK0)
& ~ $less(10.0,sK0)
& ~ $less(sK0,0.9)
& ~ $less(recexp(sK0,probsize,4),$to_real(probsize))
& ~ $less(problen,$product(sK1,2))
& ( probsize = sK3 )
& ~ $less(10000,sK3)
& ~ $less(sK3,$product(sK2,sK2))
& ( problen = sK2 )
& ~ $less(50,sK2)
& ~ $less(sK2,2) ) ),
introduced(choice_axiom,[]) ).
tff(f79,plain,
? [X0: $real,X1: $int,X2: $int,X3: $int] :
( $less(1.0,X0)
& ~ $less(10.0,X0)
& ~ $less(X0,0.9)
& ~ $less(recexp(X0,probsize,4),$to_real(probsize))
& ~ $less(problen,$product(X1,2))
& ( probsize = X3 )
& ~ $less(10000,X3)
& ~ $less(X3,$product(X2,X2))
& ( problen = X2 )
& ~ $less(50,X2)
& ~ $less(X2,2) ),
inference(flattening,[],[f78]) ).
tff(f78,plain,
? [X0: $real,X1: $int,X2: $int,X3: $int] :
( $less(1.0,X0)
& ~ $less(10.0,X0)
& ~ $less(X0,0.9)
& ~ $less(recexp(X0,probsize,4),$to_real(probsize))
& ~ $less(problen,$product(X1,2))
& ( probsize = X3 )
& ~ $less(10000,X3)
& ~ $less(X3,$product(X2,X2))
& ( problen = X2 )
& ~ $less(50,X2)
& ~ $less(X2,2) ),
inference(ennf_transformation,[],[f20]) ).
tff(f20,plain,
~ ! [X0: $real,X1: $int,X2: $int,X3: $int] :
( ( ~ $less(10.0,X0)
& ~ $less(X0,0.9)
& ~ $less(recexp(X0,probsize,4),$to_real(probsize))
& ~ $less(problen,$product(X1,2))
& ( probsize = X3 )
& ~ $less(10000,X3)
& ~ $less(X3,$product(X2,X2))
& ( problen = X2 )
& ~ $less(50,X2)
& ~ $less(X2,2) )
=> ~ $less(1.0,X0) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real,X1: $int,X2: $int,X3: $int] :
( ( $lesseq(X0,10.0)
& $lesseq(0.9,X0)
& $lesseq($to_real(probsize),recexp(X0,probsize,4))
& $lesseq($product(X1,2),problen)
& ( probsize = X3 )
& $lesseq(X3,10000)
& $lesseq($product(X2,X2),X3)
& ( problen = X2 )
& $lesseq(X2,50)
& $lesseq(2,X2) )
=> $lesseq(X0,1.0) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real,X1: $int,X2: $int,X3: $int] :
( ( $lesseq(X0,10.0)
& $lesseq(0.9,X0)
& $lesseq($to_real(probsize),recexp(X0,probsize,4))
& $lesseq($product(X1,2),problen)
& ( probsize = X3 )
& $lesseq(X3,10000)
& $lesseq($product(X2,X2),X3)
& ( problen = X2 )
& $lesseq(X2,50)
& $lesseq(2,X2) )
=> $lesseq(X0,1.0) ),
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',tougher_local_search) ).
tff(f517650,plain,
! [X0: $real] :
( ( 0.0 = $uminus($product(X0,$to_real(mylk(1)))) )
| $less(sK2,1) ),
inference(backward_demodulation,[],[f6637,f516964]) ).
tff(f516964,plain,
! [X2: $real,X0: $int] : ( $sum($to_real(X0),X2) = X2 ),
inference(evaluation,[],[f516950]) ).
tff(f516950,plain,
! [X2: $real,X0: $int] : ( $sum($to_real(X0),$sum(0.0,X2)) = X2 ),
inference(backward_demodulation,[],[f515924,f516938]) ).
tff(f516938,plain,
! [X5: $real] : ( 0.0 = $product($to_real(lk(1)),X5) ),
inference(evaluation,[],[f516937]) ).
tff(f516937,plain,
! [X5: $real] : ( 0.0 = $sum($product($to_real(lk(1)),X5),0.0) ),
inference(forward_demodulation,[],[f516933,f114]) ).
tff(f114,plain,
! [X2: $int,X0: $real,X1: $int] : ( 0.0 = mysump(X0,X1,X2,0) ),
inference(cnf_transformation,[],[f72]) ).
tff(f72,plain,
! [X0: $real,X1: $int,X2: $int] : ( 0.0 = mysump(X0,X1,X2,0) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X5: $real,X6: $int,X1: $int] : ( 0.0 = mysump(X5,X6,X1,0) ),
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',mysump_0) ).
tff(f516933,plain,
! [X4: $int,X5: $real] : ( 0.0 = $sum($product($to_real(lk(1)),X5),mysump(X5,X4,2,0)) ),
inference(evaluation,[],[f516853]) ).
tff(f516853,plain,
! [X4: $int,X5: $real] :
( ( 0.0 = $sum($product($to_real(lk($sum(2,-1))),X5),mysump(X5,X4,2,$sum(2,-2))) )
| $less(2,1) ),
inference(superposition,[],[f515860,f869]) ).
tff(f869,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product($to_real(X2),imp(X0,X2,X1)) = $sum($product($to_real(lk($sum(X1,-1))),X0),mysump(X0,X2,X1,$sum(X1,-2))) )
| $less(X1,1) ),
inference(superposition,[],[f125,f60]) ).
tff(f125,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,-1)))),mysump(X0,X1,X2,$sum(X2,-2))) )
| $less(X2,1) ),
inference(evaluation,[],[f116]) ).
tff(f116,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,$uminus(1))))),mysump(X0,X1,X2,$sum(X2,$uminus(2)))) )
| $less(X2,1) ),
inference(cnf_transformation,[],[f86]) ).
tff(f86,plain,
! [X0: $real,X1: $int,X2: $int] :
( ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,$uminus(1))))),mysump(X0,X1,X2,$sum(X2,$uminus(2)))) )
| $less(X2,1) ),
inference(ennf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0: $real,X1: $int,X2: $int] :
( ~ $less(X2,1)
=> ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,$uminus(1))))),mysump(X0,X1,X2,$sum(X2,$uminus(2)))) ) ),
inference(rectify,[],[f27]) ).
tff(f27,plain,
! [X5: $real,X6: $int,X1: $int] :
( ~ $less(X1,1)
=> ( $product($to_real(X6),imp(X5,X6,X1)) = $sum($product(X5,$to_real(lk($sum(X1,$uminus(1))))),mysump(X5,X6,X1,$sum(X1,$uminus(2)))) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X5: $real,X6: $int,X1: $int] :
( $lesseq(1,X1)
=> ( $product($to_real(X6),imp(X5,X6,X1)) = $sum($product(X5,$to_real(lk($difference(X1,1)))),mysump(X5,X6,X1,$difference(X1,2))) ) ),
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',imp_n) ).
tff(f515860,plain,
! [X31: $real,X30: $int] : ( 0.0 = $product($to_real(X30),imp(X31,X30,2)) ),
inference(backward_demodulation,[],[f11501,f515856]) ).
tff(f515856,plain,
! [X1: $real] : ( 0.0 = $product(X1,$to_real(lk(1))) ),
inference(forward_demodulation,[],[f515790,f197]) ).
tff(f515790,plain,
! [X0: $int,X1: $real] : ( $product(X1,$to_real(lk(1))) = $product(0.0,imp(X1,ns(X0),2)) ),
inference(superposition,[],[f11501,f6664]) ).
tff(f6664,plain,
! [X7: $int] : ( 0.0 = $to_real(ns(X7)) ),
inference(evaluation,[],[f6641]) ).
tff(f6641,plain,
! [X7: $int] : ( 0.0 = $sum($to_real(ns(X7)),$uminus(0.0)) ),
inference(superposition,[],[f820,f197]) ).
tff(f820,plain,
! [X0: $int,X1: $real] : ( 0.0 = $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) ),
inference(forward_demodulation,[],[f819,f63]) ).
tff(f819,plain,
! [X0: $int,X1: $real] : ( $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) = $product(dc(X1,ns(X0),X0),0.0) ),
inference(evaluation,[],[f805]) ).
tff(f805,plain,
! [X0: $int,X1: $real] : ( $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) = $product(dc(X1,ns(X0),X0),$to_real(0)) ),
inference(superposition,[],[f115,f35]) ).
tff(f115,plain,
! [X2: $int,X0: $real,X1: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2))))) ),
inference(cnf_transformation,[],[f73]) ).
tff(f73,plain,
! [X0: $real,X1: $int,X2: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2))))) ),
inference(rectify,[],[f26]) ).
tff(f26,plain,
! [X5: $real,X6: $int,X1: $int] : ( $product(dc(X5,X6,X1),$to_real($sum(X6,$uminus(ns(X1))))) = $sum($to_real(X6),$uminus($product(X5,$to_real(ns(X1))))) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X5: $real,X6: $int,X1: $int] : ( $product(dc(X5,X6,X1),$to_real($difference(X6,ns(X1)))) = $difference($to_real(X6),$product(X5,$to_real(ns(X1)))) ),
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',dc) ).
tff(f11501,plain,
! [X31: $real,X30: $int] : ( $product($to_real(X30),imp(X31,X30,2)) = $product(X31,$to_real(lk(1))) ),
inference(evaluation,[],[f11500]) ).
tff(f11500,plain,
! [X31: $real,X30: $int] : ( $product($to_real(X30),imp(X31,X30,2)) = $sum($product(X31,$to_real(lk(1))),0.0) ),
inference(forward_demodulation,[],[f11484,f114]) ).
tff(f11484,plain,
! [X31: $real,X30: $int] : ( $product($to_real(X30),imp(X31,X30,2)) = $sum($product(X31,$to_real(lk(1))),mysump(X31,X30,2,0)) ),
inference(evaluation,[],[f11429]) ).
tff(f11429,plain,
! [X31: $real,X30: $int] :
( ( $product($to_real(X30),imp(X31,X30,$uminus(-2))) = $sum($product(X31,$to_real(lk($sum($uminus(-2),-1)))),mysump(X31,X30,$uminus(-2),0)) )
| $less($uminus(-2),1) ),
inference(superposition,[],[f873,f35]) ).
tff(f873,plain,
! [X2: $real,X0: $int,X1: $int] :
( ( $product($to_real(X1),imp(X2,X1,X0)) = $sum($product(X2,$to_real(lk($sum(X0,-1)))),mysump(X2,X1,X0,$sum(-2,X0))) )
| $less(X0,1) ),
inference(superposition,[],[f125,f31]) ).
tff(f515924,plain,
! [X2: $real,X0: $int,X1: $real] : ( $sum($to_real(X0),$sum($product($to_real(lk(1)),$product(X1,recexp(X1,X0,1))),X2)) = X2 ),
inference(evaluation,[],[f515923]) ).
tff(f515923,plain,
! [X2: $real,X0: $int,X1: $real] : ( $sum(0.0,X2) = $sum($to_real(X0),$sum($product($to_real(lk(1)),$product(X1,recexp(X1,X0,1))),X2)) ),
inference(backward_demodulation,[],[f31723,f515917]) ).
tff(f515917,plain,
! [X59: $real,X60: $real] : ( 0.0 = $product(X59,$product($to_real(lk(1)),X60)) ),
inference(forward_demodulation,[],[f515916,f31716]) ).
tff(f31716,plain,
! [X2: $real,X0: $int,X1: $real] : ( $product($to_real(X0),$product(imp(X1,X0,2),X2)) = $product(X1,$product($to_real(lk(1)),X2)) ),
inference(forward_demodulation,[],[f31715,f61]) ).
tff(f61,plain,
! [X2: $real,X0: $real,X1: $real] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_139,[]) ).
tff(f31715,plain,
! [X2: $real,X0: $int,X1: $real] : ( $product($to_real(X0),$product(imp(X1,X0,2),X2)) = $product($product(X1,$to_real(lk(1))),X2) ),
inference(evaluation,[],[f31714]) ).
tff(f31714,plain,
! [X2: $real,X0: $int,X1: $real] : ( $product($to_real(X0),$product(imp(X1,X0,2),X2)) = $product($sum($product(X1,$to_real(lk(1))),0.0),X2) ),
inference(forward_demodulation,[],[f31622,f114]) ).
tff(f31622,plain,
! [X2: $real,X0: $int,X1: $real] : ( $product($to_real(X0),$product(imp(X1,X0,2),X2)) = $product($sum($product(X1,$to_real(lk(1))),mysump(X1,X0,2,0)),X2) ),
inference(evaluation,[],[f31226]) ).
tff(f31226,plain,
! [X2: $real,X0: $int,X1: $real] : ( $product($to_real(X0),$product(imp(X1,X0,$sum(1,1)),X2)) = $product($sum($product(X1,$to_real(lk($sum($sum(1,1),-1)))),mysump(X1,X0,$sum(1,1),$sum($sum(1,1),-2))),X2) ),
inference(unit_resulting_resolution,[],[f1236,f876]) ).
tff(f876,plain,
! [X8: $int,X6: $int,X9: $real,X7: $real] :
( ( $product($to_real(X6),$product(imp(X7,X6,X8),X9)) = $product($sum($product(X7,$to_real(lk($sum(X8,-1)))),mysump(X7,X6,X8,$sum(X8,-2))),X9) )
| $less(X8,1) ),
inference(superposition,[],[f61,f125]) ).
tff(f1236,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(unit_resulting_resolution,[],[f36,f220,f37]) ).
tff(f515916,plain,
! [X58: $int,X59: $real,X60: $real] : ( 0.0 = $product($to_real(X58),$product(imp(X59,X58,2),X60)) ),
inference(forward_demodulation,[],[f515915,f63]) ).
tff(f515915,plain,
! [X58: $int,X59: $real,X60: $real] : ( $product($to_real(X58),$product(imp(X59,X58,2),X60)) = $product(X60,0.0) ),
inference(forward_demodulation,[],[f515814,f515856]) ).
tff(f515814,plain,
! [X58: $int,X59: $real,X60: $real] : ( $product($to_real(X58),$product(imp(X59,X58,2),X60)) = $product(X60,$product(X59,$to_real(lk(1)))) ),
inference(superposition,[],[f625,f11501]) ).
tff(f625,plain,
! [X8: $real,X9: $real,X7: $real] : ( $product(X7,$product(X8,X9)) = $product(X9,$product(X7,X8)) ),
inference(superposition,[],[f61,f60]) ).
tff(f31723,plain,
! [X2: $real,X0: $int,X1: $real] : ( $sum($to_real(X0),$sum($product($to_real(lk(1)),$product(X1,recexp(X1,X0,1))),X2)) = $sum($product(X1,$product($to_real(lk(1)),recexp(X1,X0,2))),X2) ),
inference(backward_demodulation,[],[f31651,f31716]) ).
tff(f31651,plain,
! [X2: $real,X0: $int,X1: $real] : ( $sum($product($to_real(X0),$product(imp(X1,X0,2),recexp(X1,X0,2))),X2) = $sum($to_real(X0),$sum($product($to_real(lk(1)),$product(X1,recexp(X1,X0,1))),X2)) ),
inference(evaluation,[],[f31650]) ).
tff(f31650,plain,
! [X2: $real,X0: $int,X1: $real] : ( $sum($product($to_real(X0),$product(imp(X1,X0,2),recexp(X1,X0,2))),X2) = $sum($to_real(X0),$sum(0.0,$sum($product($to_real(lk(1)),$product(X1,recexp(X1,X0,1))),X2))) ),
inference(forward_demodulation,[],[f31644,f113]) ).
tff(f113,plain,
! [X2: $int,X0: $real,X1: $int] : ( 0.0 = mysumr(X0,X1,X2,0) ),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0: $real,X1: $int,X2: $int] : ( 0.0 = mysumr(X0,X1,X2,0) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X5: $real,X6: $int,X1: $int] : ( 0.0 = mysumr(X5,X6,X1,0) ),
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',mysumr_0) ).
tff(f31644,plain,
! [X2: $real,X0: $int,X1: $real] : ( $sum($product($to_real(X0),$product(imp(X1,X0,2),recexp(X1,X0,2))),X2) = $sum($to_real(X0),$sum(mysumr(X1,X0,2,0),$sum($product($to_real(lk(1)),$product(X1,recexp(X1,X0,1))),X2))) ),
inference(evaluation,[],[f31248]) ).
tff(f31248,plain,
! [X2: $real,X0: $int,X1: $real] : ( $sum($product($to_real(X0),$product(imp(X1,X0,$sum(1,1)),recexp(X1,X0,$sum(1,1)))),X2) = $sum($to_real(X0),$sum(mysumr(X1,X0,$sum(1,1),$sum($sum(1,1),-2)),$sum($product($to_real(lk($sum($sum(1,1),-1))),$product(X1,recexp(X1,X0,$sum($sum(1,1),-1)))),X2))) ),
inference(unit_resulting_resolution,[],[f1236,f957]) ).
tff(f957,plain,
! [X2: $int,X3: $real,X0: $int,X1: $real] :
( ( $sum($product($to_real(X0),$product(imp(X1,X0,X2),recexp(X1,X0,X2))),X3) = $sum($to_real(X0),$sum(mysumr(X1,X0,X2,$sum(X2,-2)),$sum($product($to_real(lk($sum(X2,-1))),$product(X1,recexp(X1,X0,$sum(X2,-1)))),X3))) )
| $less(X2,1) ),
inference(forward_demodulation,[],[f944,f50]) ).
tff(f50,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_139,[]) ).
tff(f944,plain,
! [X2: $int,X3: $real,X0: $int,X1: $real] :
( ( $sum($to_real(X0),$sum($sum(mysumr(X1,X0,X2,$sum(X2,-2)),$product($to_real(lk($sum(X2,-1))),$product(X1,recexp(X1,X0,$sum(X2,-1))))),X3)) = $sum($product($to_real(X0),$product(imp(X1,X0,X2),recexp(X1,X0,X2))),X3) )
| $less(X2,1) ),
inference(superposition,[],[f50,f633]) ).
tff(f633,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $sum($to_real(X1),$sum(mysumr(X0,X1,X2,$sum(X2,-2)),$product($to_real(lk($sum(X2,-1))),$product(X0,recexp(X0,X1,$sum(X2,-1)))))) = $product($to_real(X1),$product(imp(X0,X1,X2),recexp(X0,X1,X2))) )
| $less(X2,1) ),
inference(backward_demodulation,[],[f596,f632]) ).
tff(f632,plain,
! [X6: $real,X4: $real,X5: $real] : ( $product(X4,$product(X5,X6)) = $product(X5,$product(X4,X6)) ),
inference(forward_demodulation,[],[f619,f61]) ).
tff(f619,plain,
! [X6: $real,X4: $real,X5: $real] : ( $product(X4,$product(X5,X6)) = $product($product(X5,X4),X6) ),
inference(superposition,[],[f61,f60]) ).
tff(f596,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum($to_real(X1),$sum(mysumr(X0,X1,X2,$sum(X2,-2)),$product($to_real(lk($sum(X2,-1))),$product(X0,recexp(X0,X1,$sum(X2,-1)))))) )
| $less(X2,1) ),
inference(backward_demodulation,[],[f146,f595]) ).
tff(f595,plain,
! [X6: $real,X4: $real,X5: $real] : ( $sum(X4,$sum(X5,X6)) = $sum(X5,$sum(X4,X6)) ),
inference(forward_demodulation,[],[f579,f50]) ).
tff(f579,plain,
! [X6: $real,X4: $real,X5: $real] : ( $sum(X4,$sum(X5,X6)) = $sum($sum(X5,X4),X6) ),
inference(superposition,[],[f50,f49]) ).
tff(f49,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f146,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum(mysumr(X0,X1,X2,$sum(X2,-2)),$sum($to_real(X1),$product($to_real(lk($sum(X2,-1))),$product(X0,recexp(X0,X1,$sum(X2,-1)))))) )
| $less(X2,1) ),
inference(forward_demodulation,[],[f145,f60]) ).
tff(f145,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum(mysumr(X0,X1,X2,$sum(X2,-2)),$sum($to_real(X1),$product($product(X0,recexp(X0,X1,$sum(X2,-1))),$to_real(lk($sum(X2,-1)))))) )
| $less(X2,1) ),
inference(forward_demodulation,[],[f124,f49]) ).
tff(f124,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,$sum(X2,-1))),$to_real(lk($sum(X2,-1))))),mysumr(X0,X1,X2,$sum(X2,-2))) )
| $less(X2,1) ),
inference(evaluation,[],[f117]) ).
tff(f117,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,$sum(X2,$uminus(1)))),$to_real(lk($sum(X2,$uminus(1)))))),mysumr(X0,X1,X2,$sum(X2,$uminus(2)))) )
| $less(X2,1) ),
inference(cnf_transformation,[],[f87]) ).
tff(f87,plain,
! [X0: $real,X1: $int,X2: $int] :
( ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,$sum(X2,$uminus(1)))),$to_real(lk($sum(X2,$uminus(1)))))),mysumr(X0,X1,X2,$sum(X2,$uminus(2)))) )
| $less(X2,1) ),
inference(ennf_transformation,[],[f75]) ).
tff(f75,plain,
! [X0: $real,X1: $int,X2: $int] :
( ~ $less(X2,1)
=> ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,$sum(X2,$uminus(1)))),$to_real(lk($sum(X2,$uminus(1)))))),mysumr(X0,X1,X2,$sum(X2,$uminus(2)))) ) ),
inference(rectify,[],[f28]) ).
tff(f28,plain,
! [X5: $real,X6: $int,X1: $int] :
( ~ $less(X1,1)
=> ( $product(imp(X5,X6,X1),$product($to_real(X6),recexp(X5,X6,X1))) = $sum($sum($to_real(X6),$product($product(X5,recexp(X5,X6,$sum(X1,$uminus(1)))),$to_real(lk($sum(X1,$uminus(1)))))),mysumr(X5,X6,X1,$sum(X1,$uminus(2)))) ) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,axiom,
! [X5: $real,X6: $int,X1: $int] :
( $lesseq(1,X1)
=> ( $product(imp(X5,X6,X1),$product($to_real(X6),recexp(X5,X6,X1))) = $sum($sum($to_real(X6),$product($product(X5,recexp(X5,X6,$difference(X1,1))),$to_real(lk($difference(X1,1))))),mysumr(X5,X6,X1,$difference(X1,2))) ) ),
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',recexp_n) ).
tff(f6637,plain,
! [X0: $real] :
( ( 0.0 = $sum($to_real(mylk(1)),$uminus($product(X0,$to_real(mylk(1))))) )
| $less(sK2,1) ),
inference(superposition,[],[f820,f191]) ).
tff(f191,plain,
( ( ns(0) = mylk(1) )
| $less(sK2,1) ),
inference(forward_demodulation,[],[f190,f135]) ).
tff(f135,plain,
ns(0) = $sum(1,lk(1)),
inference(forward_demodulation,[],[f106,f104]) ).
tff(f104,plain,
lk(0) = 1,
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
lk(0) = 1,
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',lk_0) ).
tff(f106,plain,
ns(0) = $sum(lk(0),lk(1)),
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
ns(0) = $sum(lk(0),lk(1)),
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',ns_0) ).
tff(f190,plain,
( ( $sum(1,lk(1)) = mylk(1) )
| $less(sK2,1) ),
inference(forward_demodulation,[],[f189,f31]) ).
tff(f189,plain,
( ( $sum(lk(1),1) = mylk(1) )
| $less(sK2,1) ),
inference(forward_demodulation,[],[f188,f103]) ).
tff(f103,plain,
1 = mylk(0),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
1 = mylk(0),
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',mylk_0) ).
tff(f188,plain,
( ( mylk(1) = $sum(lk(1),mylk(0)) )
| $less(sK2,1) ),
inference(evaluation,[],[f185]) ).
tff(f185,plain,
( ( mylk($uminus(-1)) = $sum(lk($uminus(-1)),mylk(0)) )
| $less(sK2,$uminus(-1))
| $less($uminus(-1),1) ),
inference(superposition,[],[f159,f35]) ).
tff(f159,plain,
! [X3: $int] :
( ( mylk(X3) = $sum(lk(X3),mylk($sum(-1,X3))) )
| $less(sK2,X3)
| $less(X3,1) ),
inference(superposition,[],[f140,f31]) ).
tff(f140,plain,
! [X0: $int] :
( ( mylk(X0) = $sum(lk(X0),mylk($sum(X0,-1))) )
| $less(sK2,X0)
| $less(X0,1) ),
inference(forward_demodulation,[],[f127,f94]) ).
tff(f94,plain,
problen = sK2,
inference(cnf_transformation,[],[f91]) ).
tff(f127,plain,
! [X0: $int] :
( ( mylk(X0) = $sum(lk(X0),mylk($sum(X0,-1))) )
| $less(problen,X0)
| $less(X0,1) ),
inference(evaluation,[],[f109]) ).
tff(f109,plain,
! [X0: $int] :
( ( mylk(X0) = $sum(lk(X0),mylk($sum(X0,$uminus(1)))) )
| $less(problen,X0)
| $less(X0,1) ),
inference(cnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X0: $int] :
( ( mylk(X0) = $sum(lk(X0),mylk($sum(X0,$uminus(1)))) )
| $less(problen,X0)
| $less(X0,1) ),
inference(flattening,[],[f82]) ).
tff(f82,plain,
! [X0: $int] :
( ( mylk(X0) = $sum(lk(X0),mylk($sum(X0,$uminus(1)))) )
| $less(problen,X0)
| $less(X0,1) ),
inference(ennf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: $int] :
( ( ~ $less(problen,X0)
& ~ $less(X0,1) )
=> ( mylk(X0) = $sum(lk(X0),mylk($sum(X0,$uminus(1)))) ) ),
inference(rectify,[],[f24]) ).
tff(f24,plain,
! [X4: $int] :
( ( ~ $less(problen,X4)
& ~ $less(X4,1) )
=> ( mylk(X4) = $sum(lk(X4),mylk($sum(X4,$uminus(1)))) ) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,axiom,
! [X4: $int] :
( ( $lesseq(X4,problen)
& $lesseq(1,X4) )
=> ( mylk(X4) = $sum(lk(X4),mylk($difference(X4,1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821',mylk_n) ).
tff(f517822,plain,
! [X0: $real,X1: $int] : ( $to_real(X1) = $uminus($product(X0,$to_real(mylk(1)))) ),
inference(subsumption_resolution,[],[f517821,f15943]) ).
tff(f517821,plain,
! [X0: $real,X1: $int] :
( ( $to_real(X1) = $uminus($product(X0,$to_real(mylk(1)))) )
| $less(sK2,1) ),
inference(backward_demodulation,[],[f6807,f517820]) ).
tff(f517820,plain,
! [X0: $real,X1: $int] : ( $product(dc(X0,X1,0),$to_real($sum(X1,$uminus(mylk(1))))) = $uminus($product(X0,$to_real(mylk(1)))) ),
inference(subsumption_resolution,[],[f517613,f15943]) ).
tff(f517613,plain,
! [X0: $real,X1: $int] :
( ( $product(dc(X0,X1,0),$to_real($sum(X1,$uminus(mylk(1))))) = $uminus($product(X0,$to_real(mylk(1)))) )
| $less(sK2,1) ),
inference(backward_demodulation,[],[f804,f516964]) ).
tff(f804,plain,
! [X0: $real,X1: $int] :
( ( $product(dc(X0,X1,0),$to_real($sum(X1,$uminus(mylk(1))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(mylk(1))))) )
| $less(sK2,1) ),
inference(superposition,[],[f115,f191]) ).
tff(f6807,plain,
! [X0: $real,X1: $int] :
( ( $to_real(X1) = $product(dc(X0,X1,0),$to_real($sum(X1,$uminus(mylk(1))))) )
| $less(sK2,1) ),
inference(superposition,[],[f6686,f191]) ).
tff(f6686,plain,
! [X2: $int,X0: $real,X1: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $to_real(X1) ),
inference(evaluation,[],[f6685]) ).
tff(f6685,plain,
! [X2: $int,X0: $real,X1: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus(0.0)) ),
inference(forward_demodulation,[],[f6665,f63]) ).
tff(f6665,plain,
! [X2: $int,X0: $real,X1: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,0.0))) ),
inference(backward_demodulation,[],[f115,f6664]) ).
tff(f144112,plain,
! [X6: $int,X5: $real] : ( $uminus(X5) = $sum(mysump(X5,X6,1,-1),$uminus($product($to_real(X6),imp(X5,X6,1)))) ),
inference(superposition,[],[f2045,f887]) ).
tff(f887,plain,
! [X0: $int,X1: $real] : ( $product($to_real(X0),imp(X1,X0,1)) = $sum(X1,mysump(X1,X0,1,-1)) ),
inference(evaluation,[],[f886]) ).
tff(f886,plain,
! [X0: $int,X1: $real] : ( $product($to_real(X0),imp(X1,X0,1)) = $sum($product(X1,$to_real(1)),mysump(X1,X0,1,-1)) ),
inference(forward_demodulation,[],[f885,f104]) ).
tff(f885,plain,
! [X0: $int,X1: $real] : ( $product($to_real(X0),imp(X1,X0,1)) = $sum($product(X1,$to_real(lk(0))),mysump(X1,X0,1,-1)) ),
inference(evaluation,[],[f864]) ).
tff(f864,plain,
! [X0: $int,X1: $real] : ( $product($to_real(X0),imp(X1,X0,1)) = $sum($product(X1,$to_real(lk($sum(1,-1)))),mysump(X1,X0,1,$sum(1,-2))) ),
inference(unit_resulting_resolution,[],[f36,f125]) ).
tff(f2045,plain,
! [X0: $real,X1: $real] : ( $uminus(X1) = $sum(X0,$uminus($sum(X1,X0))) ),
inference(superposition,[],[f594,f52]) ).
tff(f52,plain,
! [X0: $real,X1: $real] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_142,[]) ).
tff(f594,plain,
! [X2: $real,X3: $real] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(evaluation,[],[f578]) ).
tff(f578,plain,
! [X2: $real,X3: $real] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0.0,X3) ),
inference(superposition,[],[f50,f53]) ).
tff(f53,plain,
! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f537435,plain,
! [X0: $real,X1: $int] : ( 0.0 = mysump(X0,X1,1,-1) ),
inference(evaluation,[],[f537425]) ).
tff(f537425,plain,
! [X0: $real,X1: $int] : ( 0.0 = mysump(X0,X1,1,$sum(1,-2)) ),
inference(unit_resulting_resolution,[],[f36,f521813]) ).
tff(f521813,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0.0 = mysump(X0,X1,X2,$sum(X2,-2)) )
| $less(X2,1) ),
inference(evaluation,[],[f521812]) ).
tff(f521812,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0.0 = $sum(0.0,mysump(X0,X1,X2,$sum(X2,-2))) )
| $less(X2,1) ),
inference(forward_demodulation,[],[f521811,f63]) ).
tff(f521811,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0.0 = $sum($product(X0,0.0),mysump(X0,X1,X2,$sum(X2,-2))) )
| $less(X2,1) ),
inference(forward_demodulation,[],[f521810,f517826]) ).
tff(f521810,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0.0 = $sum($product(X0,$to_real(lk($sum(X2,-1)))),mysump(X0,X1,X2,$sum(X2,-2))) )
| $less(X2,1) ),
inference(forward_demodulation,[],[f517828,f197]) ).
tff(f517828,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( $sum($product(X0,$to_real(lk($sum(X2,-1)))),mysump(X0,X1,X2,$sum(X2,-2))) = $product(0.0,imp(X0,X1,X2)) )
| $less(X2,1) ),
inference(backward_demodulation,[],[f125,f517826]) ).
tff(f512827,plain,
$less($sum(0.9,$product(2.0,$uminus(sK0))),0.0),
inference(unit_resulting_resolution,[],[f5655,f9319]) ).
tff(f9319,plain,
! [X44: $real,X45: $real,X43: $real] :
( $less($sum(X44,$product(X45,$uminus(X43))),0.0)
| ~ $less(X44,$product(X45,X43)) ),
inference(forward_demodulation,[],[f9287,f63]) ).
tff(f9287,plain,
! [X44: $real,X45: $real,X43: $real] :
( $less($sum(X44,$product(X45,$uminus(X43))),$product(X45,0.0))
| ~ $less(X44,$product(X45,X43)) ),
inference(superposition,[],[f717,f53]) ).
tff(f717,plain,
! [X6: $real,X7: $real,X4: $real,X5: $real] :
( $less($sum(X7,$product(X4,X6)),$product(X4,$sum(X5,X6)))
| ~ $less(X7,$product(X4,X5)) ),
inference(superposition,[],[f57,f64]) ).
tff(f64,plain,
! [X2: $real,X0: $real,X1: $real] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_153,[]) ).
tff(f57,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f5655,plain,
$less(0.9,$product(2.0,sK0)),
inference(forward_demodulation,[],[f5654,f60]) ).
tff(f5654,plain,
$less(0.9,$product(sK0,2.0)),
inference(backward_demodulation,[],[f1035,f5653]) ).
tff(f5653,plain,
! [X4: $real] : ( $sum(X4,X4) = $product(X4,2.0) ),
inference(evaluation,[],[f5622]) ).
tff(f5622,plain,
! [X4: $real] : ( $product(X4,$sum(1.0,1.0)) = $sum(X4,X4) ),
inference(superposition,[],[f702,f62]) ).
tff(f62,plain,
! [X0: $real] : ( $product(X0,1.0) = X0 ),
introduced(theory_axiom_140,[]) ).
tff(f702,plain,
! [X0: $real,X1: $real] : ( $product(X0,$sum(1.0,X1)) = $sum(X0,$product(X0,X1)) ),
inference(superposition,[],[f64,f62]) ).
tff(f1035,plain,
$less(0.9,$sum(sK0,sK0)),
inference(unit_resulting_resolution,[],[f251,f425,f55]) ).
tff(f55,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_146,[]) ).
tff(f425,plain,
! [X0: $real] : $less($sum(1.0,X0),$sum(sK0,X0)),
inference(unit_resulting_resolution,[],[f102,f57]) ).
tff(f102,plain,
$less(1.0,sK0),
inference(cnf_transformation,[],[f91]) ).
tff(f251,plain,
$less(0.9,$sum(1.0,sK0)),
inference(forward_demodulation,[],[f246,f49]) ).
tff(f246,plain,
$less(0.9,$sum(sK0,1.0)),
inference(unit_resulting_resolution,[],[f100,f58]) ).
tff(f58,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(X0,1.0))
| $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f100,plain,
~ $less(sK0,0.9),
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PLA049_1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.35 % Computer : n027.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sun Aug 27 06:06:50 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 This is a TF0_THM_EQU_ARI problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.wVviStFjHg/Vampire---4.8_24821
% 0.16/0.36 % (24944)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (24947)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.42 % (24950)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.22/0.42 % (24946)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.22/0.42 % (24948)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.22/0.42 % (24951)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.22/0.42 % (24945)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.22/0.42 % (24949)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.22/0.55 % (24947)Refutation not found, incomplete strategy% (24947)------------------------------
% 0.22/0.55 % (24947)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.55 % (24947)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.55 % (24947)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55
% 0.22/0.55 % (24947)Memory used [KB]: 5884
% 0.22/0.55 % (24947)Time elapsed: 0.130 s
% 0.22/0.55 % (24947)------------------------------
% 0.22/0.55 % (24947)------------------------------
% 0.22/0.58 % (24948)Refutation not found, incomplete strategy% (24948)------------------------------
% 0.22/0.58 % (24948)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.58 % (24948)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.58 % (24948)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.58
% 0.22/0.58 % (24948)Memory used [KB]: 2046
% 0.22/0.58 % (24948)Time elapsed: 0.159 s
% 0.22/0.58 % (24948)------------------------------
% 0.22/0.58 % (24948)------------------------------
% 0.22/0.59 % (24952)lrs-1003_28_aac=none:amm=sco:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:gsp=on:gs=on:gsaa=from_current:inw=on:nwc=1.5:sas=z3:sos=all:sac=on:sp=frequency:tha=off:uwa=all:stl=180_226 on Vampire---4 for (226ds/0Mi)
% 0.22/0.62 % (24953)lrs+1_15_bd=off:fsd=off:fde=unused:lcm=predicate:lma=on:nm=4:nwc=1.5:sos=all:sac=on:sp=occurrence:stl=60_160 on Vampire---4 for (160ds/0Mi)
% 113.77/16.71 % (24953)Time limit reached!
% 113.77/16.71 % (24953)------------------------------
% 113.77/16.71 % (24953)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 113.77/16.71 % (24953)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 113.77/16.71 % (24953)Termination reason: Time limit
% 113.77/16.71 % (24953)Termination phase: Saturation
% 113.77/16.71
% 113.77/16.71 % (24953)Memory used [KB]: 97738
% 113.77/16.71 % (24953)Time elapsed: 16.100 s
% 113.77/16.71 % (24953)------------------------------
% 113.77/16.71 % (24953)------------------------------
% 114.21/16.75 % (24954)lrs+1011_2:1_aac=none:add=off:bs=on:bsr=on:canc=cautious:fsd=off:fsr=off:fde=none:nm=2:nwc=1.7:nicw=on:sas=z3:sp=reverse_frequency:tha=some:thf=on:thi=full:tgt=full:uwa=all:stl=60_136 on Vampire---4 for (136ds/0Mi)
% 114.21/16.75 WARNING: the modes full & new are deprecated for theory instantiation. using all instead.
% 159.94/23.28 % (24952)Time limit reached!
% 159.94/23.28 % (24952)------------------------------
% 159.94/23.28 % (24952)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 159.94/23.28 % (24952)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 159.94/23.28 % (24952)Termination reason: Time limit
% 159.94/23.28 % (24952)Termination phase: Saturation
% 159.94/23.28
% 159.94/23.28 % (24952)Memory used [KB]: 199698
% 159.94/23.28 % (24952)Time elapsed: 22.700 s
% 159.94/23.28 % (24952)------------------------------
% 159.94/23.28 % (24952)------------------------------
% 160.51/23.37 % (24955)dis+1004_2:1_aac=none:drc=off:ep=RS:fsd=off:fde=none:gsp=on:gs=on:gsem=off:lcm=predicate:nm=2:nwc=1.2:sims=off:sos=all:sp=scramble_122 on Vampire---4 for (122ds/0Mi)
% 160.51/23.41 % (24951)First to succeed.
% 160.93/23.43 % (24951)Refutation found. Thanks to Tanya!
% 160.93/23.43 % SZS status Theorem for Vampire---4
% 160.93/23.43 % SZS output start Proof for Vampire---4
% See solution above
% 160.93/23.43 % (24951)------------------------------
% 160.93/23.43 % (24951)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 160.93/23.43 % (24951)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 160.93/23.43 % (24951)Termination reason: Refutation
% 160.93/23.43
% 160.93/23.43 % (24951)Memory used [KB]: 378671
% 160.93/23.43 % (24951)Time elapsed: 22.994 s
% 160.93/23.43 % (24951)------------------------------
% 160.93/23.43 % (24951)------------------------------
% 160.93/23.43 % (24944)Success in time 23.05 s
% 160.93/23.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------