%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV422_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:57:39 PM UTC 2026
% Result : Theorem 2.32s 1.28s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 126 ( 60 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 129 ( 52 ~; 43 |; 24 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 39 ( 0 atm; 17 fun; 17 num; 5 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 86 ( 78 !; 8 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
set: $tType ).
tff(type_def_6,type,
element: $tType ).
tff(func_def_0,type,
empty_set: set ).
tff(func_def_1,type,
singleton: element > set ).
tff(func_def_2,type,
intersection: ( set * set ) > set ).
tff(func_def_3,type,
union: ( set * set ) > set ).
tff(func_def_4,type,
difference: ( set * set ) > set ).
tff(func_def_5,type,
complement: set > set ).
tff(func_def_6,type,
cardinality: set > $int ).
tff(func_def_10,type,
sK0: set > element ).
tff(func_def_11,type,
sK1: $int ).
tff(func_def_12,type,
sK2: set ).
tff(func_def_13,type,
sK3: element ).
tff(pred_def_1,type,
member: ( element * set ) > $o ).
tff(pred_def_2,type,
subset: ( set * set ) > $o ).
tff(f1,axiom,
! [X0: set] :
( ! [X1: element] : ~ member(X1,X0)
<=> ( X0 = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
tff(f2,axiom,
! [X1: element,X0: element] :
( member(X0,singleton(X1))
<=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).
tff(f4,axiom,
! [X0: element,X2: set,X1: set] :
( ( member(X0,X2)
& member(X0,X1) )
<=> member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
tff(f10,axiom,
! [X1: set,X0: element] :
( ( intersection(singleton(X0),X1) = empty_set )
<=> ( cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_intersection_2) ).
tff(f13,conjecture,
! [X2: $int,X1: set,X0: element] :
( ( ~ member(X0,X1)
& ( X2 = cardinality(X1) ) )
=> ( $sum(X2,1) = cardinality(union(singleton(X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vc2) ).
tff(f14,negated_conjecture,
~ ! [X2: $int,X1: set,X0: element] :
( ( ~ member(X0,X1)
& ( X2 = cardinality(X1) ) )
=> ( $sum(X2,1) = cardinality(union(singleton(X0),X1)) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f15,plain,
~ ! [X1: set,X0: $int,X2: element] :
( ( ( cardinality(X1) = X0 )
& ~ member(X2,X1) )
=> ( cardinality(union(singleton(X2),X1)) = $sum(X0,1) ) ),
inference(rectify,[],[f14]) ).
tff(f16,plain,
! [X1: element,X0: set] :
( ( empty_set = intersection(singleton(X1),X0) )
<=> ( cardinality(union(singleton(X1),X0)) = $sum(cardinality(X0),1) ) ),
inference(rectify,[],[f10]) ).
tff(f18,plain,
! [X1: element,X0: element] :
( ( X0 = X1 )
<=> member(X1,singleton(X0)) ),
inference(rectify,[],[f2]) ).
tff(f20,plain,
! [X2: set,X0: element,X1: set] :
( ( member(X0,X2)
& member(X0,X1) )
<=> member(X0,intersection(X2,X1)) ),
inference(rectify,[],[f4]) ).
tff(f21,plain,
? [X1: set,X0: $int,X2: element] :
( ( cardinality(union(singleton(X2),X1)) != $sum(X0,1) )
& ( cardinality(X1) = X0 )
& ~ member(X2,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f22,plain,
? [X0: $int,X1: set,X2: element] :
( ( cardinality(X1) = X0 )
& ~ member(X2,X1)
& ( cardinality(union(singleton(X2),X1)) != $sum(X0,1) ) ),
inference(flattening,[],[f21]) ).
tff(f29,plain,
! [X2: set,X0: element,X1: set] :
( ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X2,X1)) )
& ( member(X0,intersection(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f30,plain,
! [X2: set,X0: element,X1: set] :
( ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X2,X1)) )
& ( member(X0,intersection(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ) ),
inference(flattening,[],[f29]) ).
tff(f31,plain,
! [X0: set,X1: element,X2: set] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) )
& ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(rectify,[],[f30]) ).
tff(f32,plain,
! [X1: element,X0: set] :
( ( ( empty_set = intersection(singleton(X1),X0) )
| ( cardinality(union(singleton(X1),X0)) != $sum(cardinality(X0),1) ) )
& ( ( cardinality(union(singleton(X1),X0)) = $sum(cardinality(X0),1) )
| ( empty_set != intersection(singleton(X1),X0) ) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f33,plain,
! [X0: element,X1: set] :
( ( ( empty_set = intersection(singleton(X0),X1) )
| ( cardinality(union(singleton(X0),X1)) != $sum(cardinality(X1),1) ) )
& ( ( cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) )
| ( empty_set != intersection(singleton(X0),X1) ) ) ),
inference(rectify,[],[f32]) ).
tff(f35,plain,
! [X1: element,X0: element] :
( ( ( X0 = X1 )
| ~ member(X1,singleton(X0)) )
& ( member(X1,singleton(X0))
| ( X0 != X1 ) ) ),
inference(nnf_transformation,[],[f18]) ).
tff(f36,plain,
! [X0: element,X1: element] :
( ( ( X0 = X1 )
| ~ member(X0,singleton(X1)) )
& ( member(X0,singleton(X1))
| ( X0 != X1 ) ) ),
inference(rectify,[],[f35]) ).
tff(f38,plain,
! [X0: set] :
( ( ! [X1: element] : ~ member(X1,X0)
| ( empty_set != X0 ) )
& ( ( X0 = empty_set )
| ? [X1: element] : member(X1,X0) ) ),
inference(nnf_transformation,[],[f1]) ).
tff(f39,plain,
! [X0: set] :
( ( ! [X1: element] : ~ member(X1,X0)
| ( empty_set != X0 ) )
& ( ( X0 = empty_set )
| ? [X2: element] : member(X2,X0) ) ),
inference(rectify,[],[f38]) ).
tff(f40,plain,
! [X0: set] :
( ( ! [X1: element] : ~ member(X1,X0)
| ( empty_set != X0 ) )
& ( ( X0 = empty_set )
| member(sK0(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f39]) ).
tff(f41,plain,
( ( sK1 = cardinality(sK2) )
& ~ member(sK3,sK2)
& ( $sum(sK1,1) != cardinality(union(singleton(sK3),sK2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f22]) ).
tff(f49,plain,
! [X2: set,X0: set,X1: element] :
( member(X1,intersection(X0,X2))
| ~ member(X1,X2)
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
tff(f50,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
tff(f51,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
tff(f52,plain,
! [X0: element,X1: set] :
( ( empty_set != intersection(singleton(X0),X1) )
| ( cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f57,plain,
! [X0: element,X1: element] :
( ~ member(X0,singleton(X1))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f60,plain,
! [X0: set] :
( member(sK0(X0),X0)
| ( empty_set = X0 ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f61,plain,
! [X0: set,X1: element] :
( ~ member(X1,X0)
| ( empty_set != X0 ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f62,plain,
$sum(sK1,1) != cardinality(union(singleton(sK3),sK2)),
inference(cnf_transformation,[],[f41]) ).
tff(f63,plain,
~ member(sK3,sK2),
inference(cnf_transformation,[],[f41]) ).
tff(f64,plain,
sK1 = cardinality(sK2),
inference(cnf_transformation,[],[f41]) ).
tff(f67,plain,
! [X1: element] : ~ member(X1,empty_set),
inference(equality_resolution,[],[f61]) ).
tff(f81,plain,
! [X0: set,X1: set] :
( member(sK0(intersection(X0,X1)),X1)
| ( empty_set = intersection(X0,X1) ) ),
inference(resolution,[],[f50,f60]) ).
tff(f82,plain,
! [X0: set,X1: set] :
( member(sK0(intersection(X0,X1)),X0)
| ( empty_set = intersection(X0,X1) ) ),
inference(resolution,[],[f51,f60]) ).
tff(f91,plain,
! [X0: set,X1: element] :
( ( sK0(intersection(X0,singleton(X1))) = X1 )
| ( empty_set = intersection(X0,singleton(X1)) ) ),
inference(resolution,[],[f81,f57]) ).
tff(f112,plain,
! [X0: element,X1: set] :
( ( empty_set = intersection(X1,singleton(X0)) )
| ( empty_set = intersection(X1,singleton(X0)) )
| member(X0,X1) ),
inference(superposition,[],[f82,f91]) ).
tff(f116,plain,
! [X0: element,X1: set] :
( member(X0,X1)
| ( empty_set = intersection(X1,singleton(X0)) ) ),
inference(duplicate_literal_removal,[],[f112]) ).
tff(f118,plain,
empty_set = intersection(sK2,singleton(sK3)),
inference(resolution,[],[f116,f63]) ).
tff(f124,plain,
! [X0: element] :
( member(X0,empty_set)
| ~ member(X0,sK2)
| ~ member(X0,singleton(sK3)) ),
inference(superposition,[],[f49,f118]) ).
tff(f129,plain,
! [X0: element] :
( ~ member(X0,sK2)
| ~ member(X0,singleton(sK3)) ),
inference(forward_subsumption_resolution,[],[f124,f67]) ).
tff(f133,plain,
! [X0: set] :
( ~ member(sK0(intersection(X0,sK2)),singleton(sK3))
| ( empty_set = intersection(X0,sK2) ) ),
inference(resolution,[],[f129,f81]) ).
tff(f272,plain,
( ( empty_set = intersection(singleton(sK3),sK2) )
| ( empty_set = intersection(singleton(sK3),sK2) ) ),
inference(resolution,[],[f133,f82]) ).
tff(f274,plain,
empty_set = intersection(singleton(sK3),sK2),
inference(duplicate_literal_removal,[],[f272]) ).
tff(f275,plain,
( ( cardinality(union(singleton(sK3),sK2)) = $sum(cardinality(sK2),1) )
| ( empty_set != empty_set ) ),
inference(superposition,[],[f52,f274]) ).
tff(f282,plain,
cardinality(union(singleton(sK3),sK2)) = $sum(cardinality(sK2),1),
inference(trivial_inequality_removal,[],[f275]) ).
tff(f285,plain,
$sum(sK1,1) = cardinality(union(singleton(sK3),sK2)),
inference(forward_demodulation,[],[f282,f64]) ).
tff(f288,plain,
$false,
inference(forward_subsumption_resolution,[],[f285,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV422_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 06:22:21 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.32/1.28 % (3344643)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.32/1.28 % (3344652)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3425631354:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.32/1.28 % (3344652)Instruction limit reached!
% 2.32/1.28 % (3344652)------------------------------
% 2.32/1.28 % (3344652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344652)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344652)Termination reason: Instruction limit
% 2.32/1.28 % (3344652)Termination phase: Saturation
% 2.32/1.28 % (3344652)Time elapsed: 0.003 s
% 2.32/1.28 % (3344652)Peak memory usage: 89 MB
% 2.32/1.28 % (3344652)Instructions burned: 7 (million)
% 2.32/1.28 % (3344650)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1341270520:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.32/1.28 % (3344648)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2889669455:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.32/1.28 % (3344649)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3190001254:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.32/1.28 % (3344654)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=535872862:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.32/1.28 % (3344651)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2500320690:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.32/1.28 % (3344653)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4134567721:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.32/1.28 % (3344651)Instruction limit reached!
% 2.32/1.28 % (3344651)------------------------------
% 2.32/1.28 % (3344651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344651)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344651)Termination reason: Instruction limit
% 2.32/1.28 % (3344651)Termination phase: Saturation
% 2.32/1.28 % (3344651)Time elapsed: 0.006 s
% 2.32/1.28 % (3344651)Peak memory usage: 89 MB
% 2.32/1.28 % (3344651)Instructions burned: 8 (million)
% 2.32/1.28 % (3344648)Instruction limit reached!
% 2.32/1.28 % (3344648)------------------------------
% 2.32/1.28 % (3344648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344648)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344648)Termination reason: Instruction limit
% 2.32/1.28 % (3344648)Termination phase: Saturation
% 2.32/1.28 % (3344648)Time elapsed: 0.031 s
% 2.32/1.28 % (3344648)Peak memory usage: 115 MB
% 2.32/1.28 % (3344648)Instructions burned: 12 (million)
% 2.32/1.28 % (3344654)Instruction limit reached!
% 2.32/1.28 % (3344654)------------------------------
% 2.32/1.28 % (3344654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344654)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344654)Termination reason: Instruction limit
% 2.32/1.28 % (3344654)Termination phase: Saturation
% 2.32/1.28 % (3344654)Time elapsed: 0.047 s
% 2.32/1.28 % (3344654)Peak memory usage: 115 MB
% 2.32/1.28 % (3344654)Instructions burned: 33 (million)
% 2.32/1.28 % (3344653)Instruction limit reached!
% 2.32/1.28 % (3344653)------------------------------
% 2.32/1.28 % (3344653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344653)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344653)Termination reason: Instruction limit
% 2.32/1.28 % (3344653)Termination phase: Saturation
% 2.32/1.28 % (3344653)Time elapsed: 0.056 s
% 2.32/1.28 % (3344653)Peak memory usage: 116 MB
% 2.32/1.28 % (3344653)Instructions burned: 47 (million)
% 2.32/1.28 % (3344656)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1457718912:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.32/1.28 % (3344656)First to succeed.
% 2.32/1.28 % (3344656)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3344643"
% 2.32/1.28 % (3344650)Instruction limit reached!
% 2.32/1.28 % (3344650)------------------------------
% 2.32/1.28 % (3344650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344650)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344650)Termination reason: Instruction limit
% 2.32/1.28 % (3344650)Termination phase: Saturation
% 2.32/1.28 % (3344650)Time elapsed: 0.153 s
% 2.32/1.28 % (3344650)Peak memory usage: 115 MB
% 2.32/1.28 % (3344650)Instructions burned: 202 (million)
% 2.32/1.28 % (3344663)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=3327196966:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.32/1.28 % (3344663)Instruction limit reached!
% 2.32/1.28 % (3344663)------------------------------
% 2.32/1.28 % (3344663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344663)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344663)Termination reason: Instruction limit
% 2.32/1.28 % (3344663)Termination phase: Saturation
% 2.32/1.28 % (3344663)Time elapsed: 0.023 s
% 2.32/1.28 % (3344663)Peak memory usage: 89 MB
% 2.32/1.28 % (3344663)Instructions burned: 29 (million)
% 2.32/1.28 % (3344664)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=558282393:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.32/1.28 % (3344664)Instruction limit reached!
% 2.32/1.28 % (3344664)------------------------------
% 2.32/1.28 % (3344664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344664)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344664)Termination reason: Instruction limit
% 2.32/1.28 % (3344664)Termination phase: Saturation
% 2.32/1.28 % (3344664)Time elapsed: 0.012 s
% 2.32/1.28 % (3344664)Peak memory usage: 90 MB
% 2.32/1.28 % (3344664)Instructions burned: 17 (million)
% 2.32/1.28 % (3344649)Instruction limit reached!
% 2.32/1.28 % (3344649)------------------------------
% 2.32/1.28 % (3344649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344649)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344649)Termination reason: Instruction limit
% 2.32/1.28 % (3344649)Termination phase: Saturation
% 2.32/1.28 % (3344649)Time elapsed: 0.212 s
% 2.32/1.28 % (3344649)Peak memory usage: 117 MB
% 2.32/1.28 % (3344649)Instructions burned: 307 (million)
% 2.32/1.28 % (3344665)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1710561:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 2.32/1.28 % (3344665)Instruction limit reached!
% 2.32/1.28 % (3344665)------------------------------
% 2.32/1.28 % (3344665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.28 % (3344665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.28 % (3344665)CaDiCaL version: 2.1.3
% 2.32/1.28 % (3344665)Termination reason: Instruction limit
% 2.32/1.28 % (3344665)Termination phase: Saturation
% 2.32/1.28 % (3344665)Time elapsed: 0.018 s
% 2.32/1.28 % (3344665)Peak memory usage: 89 MB
% 2.32/1.28 % (3344665)Instructions burned: 24 (million)
% 2.32/1.28 % (3344667)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=1758357575:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 2.32/1.28 % (3344656)Refutation found. Thanks to Tanya!
% 2.32/1.28 % SZS status Theorem for theBenchmark
% 2.32/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.48 % (3344656)------------------------------
% 3.48/1.48 % (3344656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.48 % (3344656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.48 % (3344656)CaDiCaL version: 2.1.3
% 3.48/1.48 % (3344656)Termination reason: Refutation
% 3.48/1.48 % (3344656)Time elapsed: 0.006 s
% 3.48/1.48 % (3344656)Peak memory usage: 89 MB
% 3.48/1.48 % (3344656)Instructions burned: 14 (million)
% 3.48/1.48 % (3344656)------------------------------
% 3.48/1.48 % (3344656)------------------------------
% 3.48/1.48 % (3344643)Success in time 0.411 s
% 3.48/1.48 % Vampire exiting
%------------------------------------------------------------------------------