%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA049_1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:28:30 PM UTC 2026
% Result : Theorem 4.81s 1.66s
% Output : Refutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 69 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 92 ( 68 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 2 ~; 19 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 742 ( 23 atm; 358 fun; 208 num; 153 var)
% Number of types : 2 ( 0 usr; 2 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 14 usr; 12 con; 0-4 aty)
% Number of variables : 153 ( 153 !; 0 ?; 153 :)
% 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(f3,axiom,
lk(0) = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lk_0) ).
tff(f8,negated_conjecture,
! [X1: $int,X2: $int,X0: $real] : ( $product(dc(X0,X1,X2),$to_real($difference(X1,ns(X2)))) = $difference($to_real(X1),$product(X0,$to_real(ns(X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dc) ).
tff(f10,negated_conjecture,
! [X0: $real,X1: $int,X2: $int] :
( $lesseq(1,X2)
=> ( $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($difference(X2,1)))),mysump(X0,X1,X2,$difference(X2,2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',imp_n) ).
tff(f11,negated_conjecture,
! [X2: $int,X1: $int,X0: $real] : ( mysump(X0,X1,X2,0) = 0/1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mysump_0) ).
tff(f14,negated_conjecture,
! [X0: $real,X1: $int,X2: $int] :
( $lesseq(1,X2)
=> ( $product(imp(X0,X1,X2),$product($to_real(X1),recexp(X0,X1,X2))) = $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,$difference(X2,1))),$to_real(lk($difference(X2,1))))),mysumr(X0,X1,X2,$difference(X2,2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',recexp_n) ).
tff(f18,negated_conjecture,
! [X2: $int,X0: $real,X1: $int] : ( mysumr(X0,X1,X2,0) = 0/1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mysumr_0) ).
tff(f20,plain,
! [X1: $int,X2: $int,X0: $real] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2))))) ),
inference(theory_normalization,[],[f8]) ).
tff(f22,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(theory_normalization,[],[f10]) ).
tff(f27,plain,
! [X1: $int,X0: $real,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(theory_normalization,[],[f14]) ).
tff(f31,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f35,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f41,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(definition,[],[tha_minus_minus_x]) ).
tff(f60,plain,
! [X0: $real,X1: $real] : ( $product(X1,X0) = $product(X0,X1) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f63,plain,
! [X0: $real] : ( 0/1 = $product(X0,0/1) ),
introduced(definition,[],[tha_times_zero]) ).
tff(f66,plain,
! [X1: $int,X0: $int,X2: $real] : ( $product(dc(X2,X0,X1),$to_real($sum(X0,$uminus(ns(X1))))) = $sum($to_real(X0),$uminus($product(X2,$to_real(ns(X1))))) ),
inference(rectify,[],[f20]) ).
tff(f70,plain,
! [X1: $real,X0: $int,X2: $int] : ( 0/1 = mysumr(X1,X2,X0,0) ),
inference(rectify,[],[f18]) ).
tff(f72,plain,
! [X0: $int,X1: $int,X2: $real] : ( 0/1 = mysump(X2,X1,X0,0) ),
inference(rectify,[],[f11]) ).
tff(f79,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(ennf_transformation,[],[f22]) ).
tff(f80,plain,
! [X2: $int,X1: $int,X0: $real] :
( ( $product(imp(X0,X1,X2),$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,[],[f27]) ).
tff(f85,plain,
! [X0: $real,X1: $int,X2: $int] : ( 0/1 = mysumr(X0,X2,X1,0) ),
inference(rectify,[],[f70]) ).
tff(f89,plain,
! [X0: $int,X1: $int,X2: $real] :
( ( $product(imp(X2,X1,X0),$product($to_real(X1),recexp(X2,X1,X0))) = $sum($sum($to_real(X1),$product($product(X2,recexp(X2,X1,$sum(X0,$uminus(1)))),$to_real(lk($sum(X0,$uminus(1)))))),mysumr(X2,X1,X0,$sum(X0,$uminus(2)))) )
| $less(X0,1) ),
inference(rectify,[],[f80]) ).
tff(f90,plain,
! [X0: $int,X1: $real,X2: $int] :
( ( $sum($product(X1,$to_real(lk($sum(X0,$uminus(1))))),mysump(X1,X2,X0,$sum(X0,$uminus(2)))) = $product($to_real(X2),imp(X1,X2,X0)) )
| $less(X0,1) ),
inference(rectify,[],[f79]) ).
tff(f91,plain,
! [X0: $int,X1: $int,X2: $real] : ( $sum($to_real(X1),$uminus($product(X2,$to_real(ns(X0))))) = $product(dc(X2,X1,X0),$to_real($sum(X1,$uminus(ns(X0))))) ),
inference(rectify,[],[f66]) ).
tff(f94,plain,
! [X2: $int,X0: $real,X1: $int] : ( 0/1 = mysumr(X0,X2,X1,0) ),
inference(cnf_transformation,[],[f85]) ).
tff(f95,plain,
! [X2: $real,X0: $int,X1: $int] : ( 0/1 = mysump(X2,X1,X0,0) ),
inference(cnf_transformation,[],[f72]) ).
tff(f96,plain,
lk(0) = 1,
inference(cnf_transformation,[],[f3]) ).
tff(f115,plain,
! [X2: $real,X0: $int,X1: $int] :
( ( $product(imp(X2,X1,X0),$product($to_real(X1),recexp(X2,X1,X0))) = $sum($sum($to_real(X1),$product($product(X2,recexp(X2,X1,$sum(X0,$uminus(1)))),$to_real(lk($sum(X0,$uminus(1)))))),mysumr(X2,X1,X0,$sum(X0,$uminus(2)))) )
| $less(X0,1) ),
inference(cnf_transformation,[],[f89]) ).
tff(f116,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( $sum($product(X1,$to_real(lk($sum(X0,$uminus(1))))),mysump(X1,X2,X0,$sum(X0,$uminus(2)))) = $product($to_real(X2),imp(X1,X2,X0)) )
| $less(X0,1) ),
inference(cnf_transformation,[],[f90]) ).
tff(f117,plain,
! [X2: $real,X0: $int,X1: $int] : ( $sum($to_real(X1),$uminus($product(X2,$to_real(ns(X0))))) = $product(dc(X2,X1,X0),$to_real($sum(X1,$uminus(ns(X0))))) ),
inference(cnf_transformation,[],[f91]) ).
tff(f136,plain,
! [X2: $real,X0: $int,X1: $int] :
( ( $product(imp(X2,X1,X0),$product($to_real(X1),recexp(X2,X1,X0))) = $sum($sum($to_real(X1),$product($product(X2,recexp(X2,X1,$sum(X0,-1))),$to_real(lk($sum(X0,-1))))),mysumr(X2,X1,X0,$sum(X0,-2))) )
| $less(X0,1) ),
inference(evaluation,[],[f115]) ).
tff(f138,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( $sum($product(X1,$to_real(lk($sum(X0,-1)))),mysump(X1,X2,X0,$sum(X0,-2))) = $product($to_real(X2),imp(X1,X2,X0)) )
| $less(X0,1) ),
inference(evaluation,[],[f116]) ).
tff(f161,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f35,f41]) ).
tff(f162,plain,
! [X0: $int,X1: $real] : ( $product(dc(X1,ns(X0),X0),$to_real(0)) = $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) ),
inference(superposition,[],[f117,f35]) ).
tff(f163,plain,
! [X0: $int,X1: $real] : ( 0/1 = $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) ),
inference(evaluation,[],[f162]) ).
tff(f176,plain,
! [X0: $real,X1: $int] :
( $less($uminus(-1),1)
| ( $sum($product(X0,$to_real(lk(0))),mysump(X0,X1,$uminus(-1),$sum($uminus(-1),-2))) = $product($to_real(X1),imp(X0,X1,$uminus(-1))) ) ),
inference(superposition,[],[f138,f161]) ).
tff(f177,plain,
! [X0: $real,X1: $int] :
( ( $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,$sum($uminus(-2),-1))),$to_real(lk($sum($uminus(-2),-1))))),mysumr(X0,X1,$uminus(-2),0)) = $product(imp(X0,X1,$uminus(-2)),$product($to_real(X1),recexp(X0,X1,$uminus(-2)))) )
| $less($uminus(-2),1) ),
inference(superposition,[],[f136,f161]) ).
tff(f178,plain,
! [X0: $real,X1: $int] :
( ( $sum($product(X0,$to_real(lk($sum($uminus(-2),-1)))),mysump(X0,X1,$uminus(-2),0)) = $product($to_real(X1),imp(X0,X1,$uminus(-2))) )
| $less($uminus(-2),1) ),
inference(superposition,[],[f138,f161]) ).
tff(f179,plain,
! [X0: $real,X1: $int] : ( $sum($product(X0,$to_real(lk(0))),mysump(X0,X1,1,-1)) = $product($to_real(X1),imp(X0,X1,1)) ),
inference(evaluation,[],[f176]) ).
tff(f180,plain,
! [X0: $real,X1: $int] : ( $product($to_real(X1),imp(X0,X1,2)) = $sum($product(X0,$to_real(lk(1))),mysump(X0,X1,2,0)) ),
inference(evaluation,[],[f178]) ).
tff(f183,plain,
! [X0: $real,X1: $int] : ( $product(imp(X0,X1,2),$product($to_real(X1),recexp(X0,X1,2))) = $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,1)),$to_real(lk(1)))),mysumr(X0,X1,2,0)) ),
inference(evaluation,[],[f177]) ).
tff(f189,plain,
! [X0: $real,X1: $int] : ( $sum($product(X0,$to_real(1)),mysump(X0,X1,1,-1)) = $product($to_real(X1),imp(X0,X1,1)) ),
inference(forward_demodulation,[],[f179,f96]) ).
tff(f190,plain,
! [X0: $real,X1: $int] : ( $product($to_real(X1),imp(X0,X1,1)) = $sum(X0,mysump(X0,X1,1,-1)) ),
inference(evaluation,[],[f189]) ).
tff(f191,plain,
! [X0: $real,X1: $int] : ( $product($to_real(X1),imp(X0,X1,2)) = $sum($product(X0,$to_real(lk(1))),0/1) ),
inference(forward_demodulation,[],[f180,f95]) ).
tff(f192,plain,
! [X0: $real,X1: $int] : ( $product($to_real(X1),imp(X0,X1,2)) = $product(X0,$to_real(lk(1))) ),
inference(evaluation,[],[f191]) ).
tff(f196,plain,
! [X0: $real,X1: $int] : ( $sum($sum($to_real(X1),$product($product(X0,recexp(X0,X1,1)),$to_real(lk(1)))),0/1) = $product(imp(X0,X1,2),$product($to_real(X1),recexp(X0,X1,2))) ),
inference(forward_demodulation,[],[f183,f94]) ).
tff(f197,plain,
! [X0: $real,X1: $int] : ( $product(imp(X0,X1,2),$product($to_real(X1),recexp(X0,X1,2))) = $sum($to_real(X1),$product($product(X0,recexp(X0,X1,1)),$to_real(lk(1)))) ),
inference(evaluation,[],[f196]) ).
tff(f265,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( $product($to_real(X2),imp(X1,X2,X0)) = $sum($product(X1,$to_real(lk($sum(X0,-1)))),mysump(X1,X2,X0,$sum(-2,X0))) )
| $less(X0,1) ),
inference(superposition,[],[f138,f31]) ).
tff(f682,plain,
! [X0: $int,X1: $real] : ( 0/1 = $sum($to_real(ns(X0)),$uminus($product($to_real(ns(X0)),X1))) ),
inference(superposition,[],[f163,f60]) ).
tff(f760,plain,
! [X0: $int] : ( 0/1 = $sum($to_real(ns(X0)),$uminus(0/1)) ),
inference(superposition,[],[f682,f63]) ).
tff(f763,plain,
! [X0: $int] : ( 0/1 = $to_real(ns(X0)) ),
inference(evaluation,[],[f760]) ).
tff(f768,plain,
! [X0: $int,X1: $real] : ( $product(0/1,imp(X1,ns(X0),1)) = $sum(X1,mysump(X1,ns(X0),1,-1)) ),
inference(superposition,[],[f190,f763]) ).
tff(f769,plain,
! [X0: $int,X1: $real] : ( $product(0/1,imp(X1,ns(X0),2)) = $product(X1,$to_real(lk(1))) ),
inference(superposition,[],[f192,f763]) ).
tff(f773,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( $sum($product(X1,$to_real(lk($sum(X2,-1)))),mysump(X1,ns(X0),X2,$sum(-2,X2))) = $product(0/1,imp(X1,ns(X0),X2)) )
| $less(X2,1) ),
inference(superposition,[],[f265,f763]) ).
tff(f776,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( 0/1 = $sum($product(X1,$to_real(lk($sum(X2,-1)))),mysump(X1,ns(X0),X2,$sum(-2,X2))) )
| $less(X2,1) ),
inference(evaluation,[],[f773]) ).
tff(f777,plain,
! [X0: $int,X1: $real] : ( 0/1 = $sum(X1,mysump(X1,ns(X0),1,-1)) ),
inference(evaluation,[],[f768]) ).
tff(f779,plain,
! [X1: $real] : ( 0/1 = $product(X1,$to_real(lk(1))) ),
inference(evaluation,[],[f769]) ).
tff(f799,plain,
! [X0: $real,X1: $int] : ( $product(imp(X0,X1,2),$product($to_real(X1),recexp(X0,X1,2))) = $sum($to_real(X1),0/1) ),
inference(superposition,[],[f197,f779]) ).
tff(f809,plain,
! [X0: $real,X1: $int] : ( $to_real(X1) = $product(imp(X0,X1,2),$product($to_real(X1),recexp(X0,X1,2))) ),
inference(evaluation,[],[f799]) ).
tff(f1042,plain,
! [X2: $int,X0: $int,X1: $real] :
( ( 0/1 = $sum($product($to_real(lk($sum(X0,-1))),X1),mysump(X1,ns(X2),X0,$sum(-2,X0))) )
| $less(X0,1) ),
inference(superposition,[],[f776,f60]) ).
tff(f1287,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0/1 = $sum($product(X0,$to_real(lk(1))),mysump(imp(X0,lk($sum(X1,-1)),2),ns(X2),X1,$sum(-2,X1))) )
| $less(X1,1) ),
inference(superposition,[],[f1042,f192]) ).
tff(f1330,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0/1 = $sum(0/1,mysump(imp(X0,lk($sum(X1,-1)),2),ns(X2),X1,$sum(-2,X1))) )
| $less(X1,1) ),
inference(forward_demodulation,[],[f1287,f779]) ).
tff(f1331,plain,
! [X2: $int,X0: $real,X1: $int] :
( ( 0/1 = mysump(imp(X0,lk($sum(X1,-1)),2),ns(X2),X1,$sum(-2,X1)) )
| $less(X1,1) ),
inference(evaluation,[],[f1330]) ).
tff(f1354,plain,
! [X0: $real,X1: $int] :
( $less($uminus(-1),1)
| ( 0/1 = mysump(imp(X0,lk(0),2),ns(X1),$uminus(-1),$sum(-2,$uminus(-1))) ) ),
inference(superposition,[],[f1331,f161]) ).
tff(f1374,plain,
! [X0: $real,X1: $int] : ( 0/1 = mysump(imp(X0,lk(0),2),ns(X1),1,-1) ),
inference(evaluation,[],[f1354]) ).
tff(f1396,plain,
! [X0: $real,X1: $int] : ( 0/1 = mysump(imp(X0,1,2),ns(X1),1,-1) ),
inference(forward_demodulation,[],[f1374,f96]) ).
tff(f1415,plain,
! [X0: $real] : ( 0/1 = $sum(imp(X0,1,2),0/1) ),
inference(superposition,[],[f777,f1396]) ).
tff(f1418,plain,
! [X0: $real] : ( 0/1 = imp(X0,1,2) ),
inference(evaluation,[],[f1415]) ).
tff(f1422,plain,
! [X0: $real] : ( $product(0/1,$product($to_real(1),recexp(X0,1,2))) = $to_real(1) ),
inference(superposition,[],[f809,f1418]) ).
tff(f1424,plain,
$false,
inference(evaluation,[],[f1422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA049_1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:16:57 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.92/1.52 % (972004)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.92/1.52 % (972013)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2804672396:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.92/1.52 % (972013)Instruction limit reached!
% 3.92/1.52 % (972013)------------------------------
% 3.92/1.52 % (972013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (972013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (972013)CaDiCaL version: 2.1.3
% 3.92/1.52 % (972013)Termination reason: Instruction limit
% 3.92/1.52 % (972013)Termination phase: Saturation
% 3.92/1.52 % (972013)Time elapsed: 0.002 s
% 3.92/1.52 % (972013)Peak memory usage: 88 MB
% 3.92/1.52 % (972013)Instructions burned: 4 (million)
% 3.92/1.52 % (972009)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4030737916:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.92/1.52 % (972010)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1746126423:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.92/1.52 % (972011)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2611677634:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.92/1.52 % (972012)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1357158461:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.92/1.52 % (972012)Instruction limit reached!
% 3.92/1.52 % (972012)------------------------------
% 3.92/1.52 % (972012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (972012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (972012)CaDiCaL version: 2.1.3
% 3.92/1.52 % (972012)Termination reason: Instruction limit
% 3.92/1.52 % (972012)Termination phase: Saturation
% 3.92/1.52 % (972012)Time elapsed: 0.006 s
% 3.92/1.52 % (972012)Peak memory usage: 88 MB
% 3.92/1.52 % (972012)Instructions burned: 7 (million)
% 3.92/1.52 % (972015)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=348673411:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.92/1.52 % (972014)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=448999947:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.92/1.52 % (972009)Instruction limit reached!
% 3.92/1.52 % (972009)------------------------------
% 3.92/1.52 % (972009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (972009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (972009)CaDiCaL version: 2.1.3
% 3.92/1.52 % (972009)Termination reason: Instruction limit
% 3.92/1.52 % (972009)Termination phase: Saturation
% 3.92/1.52 % (972009)Time elapsed: 0.029 s
% 3.92/1.52 % (972009)Peak memory usage: 116 MB
% 3.92/1.52 % (972009)Instructions burned: 12 (million)
% 3.92/1.52 % (972014)Refutation not found, incomplete strategy
% 3.92/1.52 % (972014)------------------------------
% 3.92/1.52 % (972014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (972014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (972014)CaDiCaL version: 2.1.3
% 3.92/1.52 % (972014)Termination reason: Refutation not found, incomplete strategy
% 3.92/1.52 % (972014)Time elapsed: 0.036 s
% 3.92/1.52 % (972014)Peak memory usage: 117 MB
% 3.92/1.52 % (972014)Instructions burned: 16 (million)
% 3.92/1.52 % (972010)Refutation not found, incomplete strategy
% 3.92/1.52 % (972010)------------------------------
% 3.92/1.52 % (972010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (972010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (972010)CaDiCaL version: 2.1.3
% 3.92/1.52 % (972010)Termination reason: Refutation not found, incomplete strategy
% 3.92/1.52 % (972010)Time elapsed: 0.056 s
% 3.92/1.52 % (972010)Peak memory usage: 117 MB
% 3.92/1.52 % (972010)Instructions burned: 44 (million)
% 3.92/1.52 % (972015)Instruction limit reached!
% 3.92/1.52 % (972015)------------------------------
% 3.92/1.52 % (972015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (972015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (972015)CaDiCaL version: 2.1.3
% 3.92/1.52 % (972015)Termination reason: Instruction limit
% 4.81/1.66 % (972015)Termination phase: Saturation
% 4.81/1.66 % (972015)Time elapsed: 0.046 s
% 4.81/1.66 % (972015)Peak memory usage: 117 MB
% 4.81/1.66 % (972015)Instructions burned: 34 (million)
% 4.81/1.66 % (972017)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2602962749:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.81/1.66 % (972017)Refutation not found, incomplete strategy
% 4.81/1.66 % (972017)------------------------------
% 4.81/1.66 % (972017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972017)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972017)Termination reason: Refutation not found, incomplete strategy
% 4.81/1.66 % (972017)Time elapsed: 0.002 s
% 4.81/1.66 % (972017)Peak memory usage: 89 MB
% 4.81/1.66 % (972017)Instructions burned: 4 (million)
% 4.81/1.66 % (972022)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3441486415:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.81/1.66 % (972011)Instruction limit reached!
% 4.81/1.66 % (972011)------------------------------
% 4.81/1.66 % (972011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972011)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972011)Termination reason: Instruction limit
% 4.81/1.66 % (972011)Termination phase: Saturation
% 4.81/1.66 % (972011)Time elapsed: 0.171 s
% 4.81/1.66 % (972011)Peak memory usage: 118 MB
% 4.81/1.66 % (972011)Instructions burned: 201 (million)
% 4.81/1.66 % (972022)Instruction limit reached!
% 4.81/1.66 % (972022)------------------------------
% 4.81/1.66 % (972022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972022)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972022)Termination reason: Instruction limit
% 4.81/1.66 % (972022)Termination phase: Saturation
% 4.81/1.66 % (972022)Time elapsed: 0.022 s
% 4.81/1.66 % (972022)Peak memory usage: 89 MB
% 4.81/1.66 % (972022)Instructions burned: 29 (million)
% 4.81/1.66 % (972025)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=112708406:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.81/1.66 % (972025)Instruction limit reached!
% 4.81/1.66 % (972025)------------------------------
% 4.81/1.66 % (972025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972025)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972025)Termination reason: Instruction limit
% 4.81/1.66 % (972025)Termination phase: Saturation
% 4.81/1.66 % (972025)Time elapsed: 0.011 s
% 4.81/1.66 % (972025)Peak memory usage: 90 MB
% 4.81/1.66 % (972025)Instructions burned: 17 (million)
% 4.81/1.66 % (972017)------------------------------
% 4.81/1.66 % (972017)------------------------------
% 4.81/1.66 % (972026)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3894523236:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.81/1.66 % (972026)Instruction limit reached!
% 4.81/1.66 % (972026)------------------------------
% 4.81/1.66 % (972026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972026)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972026)Termination reason: Instruction limit
% 4.81/1.66 % (972026)Termination phase: Saturation
% 4.81/1.66 % (972026)Time elapsed: 0.017 s
% 4.81/1.66 % (972026)Peak memory usage: 89 MB
% 4.81/1.66 % (972026)Instructions burned: 24 (million)
% 4.81/1.66 % (972014)------------------------------
% 4.81/1.66 % (972014)------------------------------
% 4.81/1.66 % (972010)------------------------------
% 4.81/1.66 % (972010)------------------------------
% 4.81/1.66 % (972029)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2487238491:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 4.81/1.66 % (972029)Instruction limit reached!
% 4.81/1.66 % (972029)------------------------------
% 4.81/1.66 % (972029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972029)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972029)Termination reason: Instruction limit
% 4.81/1.66 % (972029)Termination phase: Saturation
% 4.81/1.66 % (972029)Time elapsed: 0.016 s
% 4.81/1.66 % (972029)Peak memory usage: 89 MB
% 4.81/1.66 % (972029)Instructions burned: 28 (million)
% 4.81/1.66 % (972031)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=252364953:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 4.81/1.66 % (972034)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3313898458:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.81/1.66 % (972032)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2573625526:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.81/1.66 % (972032)Instruction limit reached!
% 4.81/1.66 % (972032)------------------------------
% 4.81/1.66 % (972032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972032)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972032)Termination reason: Instruction limit
% 4.81/1.66 % (972032)Termination phase: Saturation
% 4.81/1.66 % (972032)Time elapsed: 0.002 s
% 4.81/1.66 % (972032)Peak memory usage: 87 MB
% 4.81/1.66 % (972032)Instructions burned: 3 (million)
% 4.81/1.66 % (972031)First to succeed.
% 4.81/1.66 % (972031)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-972004"
% 4.81/1.66 % (972035)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2641668728:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 4.81/1.66 % (972035)Instruction limit reached!
% 4.81/1.66 % (972035)------------------------------
% 4.81/1.66 % (972035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972035)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972035)Termination reason: Instruction limit
% 4.81/1.66 % (972035)Termination phase: Saturation
% 4.81/1.66 % (972035)Time elapsed: 0.003 s
% 4.81/1.66 % (972035)Peak memory usage: 88 MB
% 4.81/1.66 % (972035)Instructions burned: 4 (million)
% 4.81/1.66 % (972034)Instruction limit reached!
% 4.81/1.66 % (972034)------------------------------
% 4.81/1.66 % (972034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972034)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972034)Termination reason: Instruction limit
% 4.81/1.66 % (972034)Termination phase: Saturation
% 4.81/1.66 % (972034)Time elapsed: 0.057 s
% 4.81/1.66 % (972034)Peak memory usage: 90 MB
% 4.81/1.66 % (972034)Instructions burned: 182 (million)
% 4.81/1.66 % (972036)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=567439926:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 4.81/1.66 % (972037)lrs+10_1_thi=all:si=on:fd=off:random_seed=4017291488:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 4.81/1.66 % (972040)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3766423793:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 4.81/1.66 % (972040)Instruction limit reached!
% 4.81/1.66 % (972040)------------------------------
% 4.81/1.66 % (972040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972040)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972040)Termination reason: Instruction limit
% 4.81/1.66 % (972040)Termination phase: Saturation
% 4.81/1.66 % (972040)Time elapsed: 0.006 s
% 4.81/1.66 % (972040)Peak memory usage: 88 MB
% 4.81/1.66 % (972040)Instructions burned: 9 (million)
% 4.81/1.66 % (972043)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=464062770:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 4.81/1.66 % (972043)Instruction limit reached!
% 4.81/1.66 % (972043)------------------------------
% 4.81/1.66 % (972043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972043)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972043)Termination reason: Instruction limit
% 4.81/1.66 % (972043)Termination phase: Saturation
% 4.81/1.66 % (972043)Time elapsed: 0.002 s
% 4.81/1.66 % (972043)Peak memory usage: 87 MB
% 4.81/1.66 % (972043)Instructions burned: 2 (million)
% 4.81/1.66 % (972045)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2018838993:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 4.81/1.66 % (972045)Instruction limit reached!
% 4.81/1.66 % (972045)------------------------------
% 4.81/1.66 % (972045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972045)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972045)Termination reason: Instruction limit
% 4.81/1.66 % (972045)Termination phase: Saturation
% 4.81/1.66 % (972045)Time elapsed: 0.001 s
% 4.81/1.66 % (972045)Peak memory usage: 87 MB
% 4.81/1.66 % (972045)Instructions burned: 3 (million)
% 4.81/1.66 % (972037)Instruction limit reached!
% 4.81/1.66 % (972037)------------------------------
% 4.81/1.66 % (972037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972037)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972037)Termination reason: Instruction limit
% 4.81/1.66 % (972037)Termination phase: Saturation
% 4.81/1.66 % (972037)Time elapsed: 0.064 s
% 4.81/1.66 % (972037)Peak memory usage: 116 MB
% 4.81/1.66 % (972037)Instructions burned: 54 (million)
% 4.81/1.66 % (972036)Instruction limit reached!
% 4.81/1.66 % (972036)------------------------------
% 4.81/1.66 % (972036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972036)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972036)Termination reason: Instruction limit
% 4.81/1.66 % (972036)Termination phase: Saturation
% 4.81/1.66 % (972036)Time elapsed: 0.090 s
% 4.81/1.66 % (972036)Peak memory usage: 135 MB
% 4.81/1.66 % (972036)Instructions burned: 66 (million)
% 4.81/1.66 % (972046)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=656539339:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 4.81/1.66 % (972054)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=509330142:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2993 on theBenchmark for (2993ds/35Mi)
% 4.81/1.66 % (972050)dis+10_1_si=on:random_seed=493891238:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 4.81/1.66 % (972050)Instruction limit reached!
% 4.81/1.66 % (972050)------------------------------
% 4.81/1.66 % (972050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972050)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972050)Termination reason: Instruction limit
% 4.81/1.66 % (972050)Termination phase: Saturation
% 4.81/1.66 % (972050)Time elapsed: 0.007 s
% 4.81/1.66 % (972050)Peak memory usage: 88 MB
% 4.81/1.66 % (972050)Instructions burned: 11 (million)
% 4.81/1.66 % (972054)Instruction limit reached!
% 4.81/1.66 % (972054)------------------------------
% 4.81/1.66 % (972054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.66 % (972054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.66 % (972054)CaDiCaL version: 2.1.3
% 4.81/1.66 % (972054)Termination reason: Instruction limit
% 4.81/1.66 % (972054)Termination phase: Saturation
% 4.81/1.66 % (972054)Time elapsed: 0.015 s
% 4.81/1.66 % (972054)Peak memory usage: 89 MB
% 4.81/1.66 % (972054)Instructions burned: 36 (million)
% 4.81/1.66 % (972031)Refutation found. Thanks to Tanya!
% 4.81/1.66 % SZS status Theorem for theBenchmark
% 4.81/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 6.16/1.77 % (972031)------------------------------
% 6.16/1.77 % (972031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.77 % (972031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.77 % (972031)CaDiCaL version: 2.1.3
% 6.16/1.77 % (972031)Termination reason: Refutation
% 6.16/1.77 % (972031)Time elapsed: 0.050 s
% 6.16/1.77 % (972031)Peak memory usage: 90 MB
% 6.16/1.77 % (972031)Instructions burned: 77 (million)
% 6.16/1.77 % (972031)------------------------------
% 6.16/1.77 % (972031)------------------------------
% 6.16/1.77 % (972004)Success in time 0.804 s
% 6.16/1.77 % Vampire exiting
%------------------------------------------------------------------------------