%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT103_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:47:18 AM UTC 2026
% Result : Theorem 0.20s 1.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 9 unt; 0 typ; 6 def)
% Number of atoms : 136 ( 43 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 145 ( 49 ~; 48 |; 39 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 88 ( 33 atm; 12 fun; 18 num; 25 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 13 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 50 ( 30 !; 20 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_9,type,
sK0: ( $int * list ) > list ).
tff(func_def_10,type,
sK1: ( $int * list ) > $int ).
tff(func_def_11,type,
sK2: $int ).
tff(func_def_12,type,
sK3: list ).
tff(pred_def_1,type,
inRange: ( $int * list ) > $o ).
tff(f1,axiom,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
tff(f5,axiom,
! [X0: $int,X1: list] :
( ( ? [X3: list,X2: $int] :
( ( X1 = cons(X2,X3) )
& $less(X2,X0)
& inRange(X0,X3)
& $lesseq(0,X2) )
| ( X1 = nil ) )
<=> inRange(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange) ).
tff(f6,conjecture,
~ ? [X0: list,X1: $int] :
( inRange(X1,X0)
& $less($difference(X1,head(X0)),1)
& ( X0 != nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(f7,negated_conjecture,
~ ~ ? [X0: list,X1: $int] :
( inRange(X1,X0)
& $less($difference(X1,head(X0)),1)
& ( X0 != nil ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
! [X0: $int,X1: list] :
( ( ? [X3: list,X2: $int] :
( ( X1 = cons(X2,X3) )
& $less(X2,X0)
& inRange(X0,X3)
& ~ $less(X2,0) )
| ( X1 = nil ) )
<=> inRange(X0,X1) ),
inference(theory_normalization,[],[f5]) ).
tff(f9,plain,
? [X1: $int,X0: list] :
( ( X0 != nil )
& inRange(X1,X0)
& $less($sum(X1,$uminus(head(X0))),1) ),
inference(theory_normalization,[],[f7]) ).
tff(f10,plain,
! [X0: $int,X1: list] :
( ( ? [X2: list,X3: $int] :
( ( cons(X3,X2) = X1 )
& $less(X3,X0)
& ~ $less(X3,0)
& inRange(X0,X2) )
| ( X1 = nil ) )
<=> inRange(X0,X1) ),
inference(rectify,[],[f8]) ).
tff(f12,plain,
! [X0: $int,X1: list] :
( ( ? [X2: list,X3: $int] :
( ( cons(X3,X2) = X1 )
& $less(X3,X0)
& ~ $less(X3,0)
& inRange(X0,X2) )
| ( X1 = nil )
| ~ inRange(X0,X1) )
& ( inRange(X0,X1)
| ( ! [X2: list,X3: $int] :
( ( cons(X3,X2) != X1 )
| ~ $less(X3,X0)
| $less(X3,0)
| ~ inRange(X0,X2) )
& ( nil != X1 ) ) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f13,plain,
! [X0: $int,X1: list] :
( ( ? [X2: list,X3: $int] :
( ( cons(X3,X2) = X1 )
& $less(X3,X0)
& ~ $less(X3,0)
& inRange(X0,X2) )
| ( X1 = nil )
| ~ inRange(X0,X1) )
& ( inRange(X0,X1)
| ( ! [X2: list,X3: $int] :
( ( cons(X3,X2) != X1 )
| ~ $less(X3,X0)
| $less(X3,0)
| ~ inRange(X0,X2) )
& ( nil != X1 ) ) ) ),
inference(flattening,[],[f12]) ).
tff(f14,plain,
! [X0: $int,X1: list] :
( ( ? [X2: list,X3: $int] :
( ( cons(X3,X2) = X1 )
& $less(X3,X0)
& ~ $less(X3,0)
& inRange(X0,X2) )
| ( X1 = nil )
| ~ inRange(X0,X1) )
& ( inRange(X0,X1)
| ( ! [X4: list,X5: $int] :
( ( cons(X5,X4) != X1 )
| ~ $less(X5,X0)
| $less(X5,0)
| ~ inRange(X0,X4) )
& ( nil != X1 ) ) ) ),
inference(rectify,[],[f13]) ).
tff(f15,plain,
! [X0: $int,X1: list] :
( ( ( ( cons(sK1(X0,X1),sK0(X0,X1)) = X1 )
& $less(sK1(X0,X1),X0)
& ~ $less(sK1(X0,X1),0)
& inRange(X0,sK0(X0,X1)) )
| ( X1 = nil )
| ~ inRange(X0,X1) )
& ( inRange(X0,X1)
| ( ! [X4: list,X5: $int] :
( ( cons(X5,X4) != X1 )
| ~ $less(X5,X0)
| $less(X5,0)
| ~ inRange(X0,X4) )
& ( nil != X1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f14]) ).
tff(f16,plain,
? [X0: $int,X1: list] :
( ( nil != X1 )
& inRange(X0,X1)
& $less($sum(X0,$uminus(head(X1))),1) ),
inference(rectify,[],[f9]) ).
tff(f17,plain,
( ( nil != sK3 )
& inRange(sK2,sK3)
& $less($sum(sK2,$uminus(head(sK3))),1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f16]) ).
tff(f18,plain,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f1]) ).
tff(f23,plain,
! [X0: $int,X1: list] :
( ~ inRange(X0,X1)
| ( nil = X1 )
| $less(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f15]) ).
tff(f24,plain,
! [X0: $int,X1: list] :
( ~ inRange(X0,X1)
| ( cons(sK1(X0,X1),sK0(X0,X1)) = X1 )
| ( nil = X1 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f28,plain,
$less($sum(sK2,$uminus(head(sK3))),1),
inference(cnf_transformation,[],[f17]) ).
tff(f29,plain,
inRange(sK2,sK3),
inference(cnf_transformation,[],[f17]) ).
tff(f30,plain,
nil != sK3,
inference(cnf_transformation,[],[f17]) ).
tff(f34,definition,
( spl4_1
<=> inRange(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
tff(f36,plain,
( inRange(sK2,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f34]) ).
tff(f37,plain,
spl4_1,
inference(avatar_split_clause,[],[f29,f34]) ).
tff(f39,definition,
( spl4_2
<=> $less($sum(sK2,$uminus(head(sK3))),1) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
tff(f42,plain,
spl4_2,
inference(avatar_split_clause,[],[f28,f39]) ).
tff(f44,definition,
( spl4_3
<=> ( nil = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
tff(f46,plain,
( ( nil != sK3 )
| spl4_3 ),
inference(avatar_component_clause,[],[f44]) ).
tff(f47,plain,
~ spl4_3,
inference(avatar_split_clause,[],[f30,f44]) ).
tff(f53,plain,
( $less(sK1(sK2,sK3),sK2)
| ( nil = sK3 )
| ~ spl4_1 ),
inference(resolution,[],[f23,f36]) ).
tff(f56,plain,
( $less(sK1(sK2,sK3),sK2)
| ~ spl4_1
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f53,f46]) ).
tff(f58,definition,
( spl4_4
<=> $less(sK1(sK2,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
tff(f61,plain,
( spl4_4
| ~ spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f56,f44,f34,f58]) ).
tff(f65,plain,
( ( sK3 = cons(sK1(sK2,sK3),sK0(sK2,sK3)) )
| ( nil = sK3 )
| ~ spl4_1 ),
inference(resolution,[],[f24,f36]) ).
tff(f70,plain,
( ( sK3 = cons(sK1(sK2,sK3),sK0(sK2,sK3)) )
| ~ spl4_1
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f65,f46]) ).
tff(f72,definition,
( spl4_5
<=> ( sK3 = cons(sK1(sK2,sK3),sK0(sK2,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
tff(f74,plain,
( ( sK3 = cons(sK1(sK2,sK3),sK0(sK2,sK3)) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f72]) ).
tff(f75,plain,
( spl4_5
| ~ spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f70,f44,f34,f72]) ).
tff(f78,plain,
( ( sK1(sK2,sK3) = head(sK3) )
| ~ spl4_5 ),
inference(superposition,[],[f18,f74]) ).
tff(f81,definition,
( spl4_6
<=> ( sK1(sK2,sK3) = head(sK3) ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
tff(f84,plain,
( spl4_6
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f78,f72,f81]) ).
tff(f98,plain,
$false,
inference(avatar_smt_refutation,[],[f84,f75,f61,f47,f42,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT103_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:06:26 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/1.12 % (2990122)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.04/1.12 % (2990130)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=584247415:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.04/1.12 % (2990130)Instruction limit reached!
% 3.04/1.12 % (2990130)------------------------------
% 3.04/1.12 % (2990130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.12 % (2990130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.12 % (2990130)CaDiCaL version: 2.1.3
% 3.04/1.12 % (2990130)Termination reason: Instruction limit
% 3.04/1.12 % (2990130)Termination phase: Saturation
% 3.04/1.12 % (2990130)Time elapsed: 0.003 s
% 3.04/1.12 % (2990130)Peak memory usage: 89 MB
% 3.04/1.12 % (2990130)Instructions burned: 7 (million)
% 3.04/1.12 % (2990128)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3395050929:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.04/1.12 % (2990127)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=82501664:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.04/1.12 % (2990129)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3292952106:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.04/1.12 % (2990133)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3340674034:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.04/1.12 % (2990132)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1629530407:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.04/1.12 % (2990131)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3755445580:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.04/1.12 % (2990131)Instruction limit reached!
% 3.04/1.12 % (2990131)------------------------------
% 3.04/1.12 % (2990131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.12 % (2990131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.12 % (2990131)CaDiCaL version: 2.1.3
% 3.04/1.12 % (2990131)Termination reason: Instruction limit
% 3.04/1.12 % (2990131)Termination phase: Saturation
% 3.04/1.12 % (2990131)Time elapsed: 0.004 s
% 3.04/1.12 % (2990131)Peak memory usage: 89 MB
% 3.04/1.12 % (2990131)Instructions burned: 5 (million)
% 3.04/1.12 % (2990127)Instruction limit reached!
% 3.04/1.12 % (2990127)------------------------------
% 3.04/1.12 % (2990127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.12 % (2990127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.12 % (2990127)CaDiCaL version: 2.1.3
% 3.04/1.12 % (2990127)Termination reason: Instruction limit
% 3.04/1.12 % (2990127)Termination phase: Saturation
% 3.04/1.12 % (2990127)Time elapsed: 0.031 s
% 3.04/1.12 % (2990127)Peak memory usage: 116 MB
% 3.04/1.12 % (2990127)Instructions burned: 13 (million)
% 3.04/1.12 % (2990132)First to succeed.
% 3.04/1.12 % (2990132)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2990122"
% 3.04/1.12 % (2990135)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2322386561:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.04/1.12 % (2990133)Also succeeded, but the first one will report.
% 3.04/1.12 % (2990135)Instruction limit reached!
% 3.04/1.12 % (2990135)------------------------------
% 3.04/1.12 % (2990135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.12 % (2990135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.12 % (2990135)CaDiCaL version: 2.1.3
% 3.04/1.12 % (2990135)Termination reason: Instruction limit
% 3.04/1.12 % (2990135)Termination phase: Saturation
% 3.04/1.12 % (2990135)Time elapsed: 0.006 s
% 3.04/1.12 % (2990135)Peak memory usage: 89 MB
% 3.04/1.12 % (2990135)Instructions burned: 17 (million)
% 3.04/1.12 % (2990142)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=2887437644:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.04/1.12 % (2990145)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2601797045:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.04/1.12 % (2990143)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2594263040:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 0.20/1.31 % (2990145)Instruction limit reached!
% 0.20/1.31 % (2990145)------------------------------
% 0.20/1.31 % (2990145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2990145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2990145)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2990145)Termination reason: Instruction limit
% 0.20/1.31 % (2990145)Termination phase: Saturation
% 0.20/1.31 % (2990145)Time elapsed: 0.011 s
% 0.20/1.31 % (2990145)Peak memory usage: 89 MB
% 0.20/1.31 % (2990145)Instructions burned: 26 (million)
% 0.20/1.31 % (2990142)Instruction limit reached!
% 0.20/1.31 % (2990142)------------------------------
% 0.20/1.31 % (2990142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2990142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2990142)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2990142)Termination reason: Instruction limit
% 0.20/1.31 % (2990142)Termination phase: Saturation
% 0.20/1.31 % (2990142)Time elapsed: 0.023 s
% 0.20/1.31 % (2990142)Peak memory usage: 89 MB
% 0.20/1.31 % (2990142)Instructions burned: 29 (million)
% 0.20/1.31 % (2990143)Instruction limit reached!
% 0.20/1.31 % (2990143)------------------------------
% 0.20/1.31 % (2990143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2990143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2990143)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2990143)Termination reason: Instruction limit
% 0.20/1.31 % (2990143)Termination phase: Saturation
% 0.20/1.31 % (2990143)Time elapsed: 0.011 s
% 0.20/1.31 % (2990143)Peak memory usage: 90 MB
% 0.20/1.31 % (2990143)Instructions burned: 16 (million)
% 0.20/1.31 % (2990129)Instruction limit reached!
% 0.20/1.31 % (2990129)------------------------------
% 0.20/1.31 % (2990129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2990129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2990129)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2990129)Termination reason: Instruction limit
% 0.20/1.31 % (2990129)Termination phase: Saturation
% 0.20/1.31 % (2990129)Time elapsed: 0.178 s
% 0.20/1.31 % (2990129)Peak memory usage: 118 MB
% 0.20/1.31 % (2990129)Instructions burned: 201 (million)
% 0.20/1.31 % (2990128)Instruction limit reached!
% 0.20/1.31 % (2990128)------------------------------
% 0.20/1.31 % (2990128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2990128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2990128)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2990128)Termination reason: Instruction limit
% 0.20/1.31 % (2990128)Termination phase: Saturation
% 0.20/1.31 % (2990128)Time elapsed: 0.212 s
% 0.20/1.31 % (2990128)Peak memory usage: 117 MB
% 0.20/1.31 % (2990128)Instructions burned: 308 (million)
% 0.20/1.31 % (2990149)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=1472051602:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 0.20/1.31 % (2990149)Instruction limit reached!
% 0.20/1.31 % (2990149)------------------------------
% 0.20/1.31 % (2990149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2990149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2990149)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2990149)Termination reason: Instruction limit
% 0.20/1.31 % (2990149)Termination phase: Saturation
% 0.20/1.31 % (2990149)Time elapsed: 0.007 s
% 0.20/1.31 % (2990149)Peak memory usage: 89 MB
% 0.20/1.31 % (2990149)Instructions burned: 27 (million)
% 0.20/1.31 % (2990150)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=63519329:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 0.20/1.31 % (2990151)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2802630235:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 0.20/1.31 % (2990132)Refutation found. Thanks to Tanya!
% 0.20/1.31 % SZS status Theorem for theBenchmark
% 0.20/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.31 % (2990132)------------------------------
% 0.20/1.31 % (2990132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2990132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2990132)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2990132)Termination reason: Refutation
% 0.20/1.31 % (2990132)Time elapsed: 0.036 s
% 0.20/1.31 % (2990132)Peak memory usage: 117 MB
% 0.20/1.31 % (2990132)Instructions burned: 14 (million)
% 0.20/1.31 % (2990132)------------------------------
% 0.20/1.31 % (2990132)------------------------------
% 0.20/1.31 % (2990122)Success in time 0.458 s
% 0.20/1.31 % Vampire exiting
%------------------------------------------------------------------------------