%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT099_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 : 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 09:47:18 AM UTC 2026
% Result : Theorem 3.88s 1.32s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 6 unt; 0 typ; 7 def)
% Number of atoms : 144 ( 24 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 167 ( 64 ~; 59 |; 31 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 145 ( 46 atm; 0 fun; 72 num; 27 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 : 13 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 12 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 48 ( 35 !; 13 ?; 48 :)
% 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 ).
tff(func_def_10,type,
sK1: ( $int * list ) > list ).
tff(func_def_11,type,
sK2: ( $int * list ) > $int ).
tff(pred_def_1,type,
inRange: ( $int * list ) > $o ).
tff(f5,axiom,
! [X1: list,X0: $int] :
( inRange(X0,X1)
<=> ( ? [X3: list,X2: $int] :
( $lesseq(0,X2)
& $less(X2,X0)
& inRange(X0,X3)
& ( X1 = cons(X2,X3) ) )
| ( X1 = nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange) ).
tff(f6,conjecture,
! [X0: $int] :
( $greatereq(X0,4)
=> inRange(X0,cons(1,cons(3,cons(2,nil)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(f7,negated_conjecture,
~ ! [X0: $int] :
( $greatereq(X0,4)
=> inRange(X0,cons(1,cons(3,cons(2,nil)))) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
~ ! [X0: $int] :
( ~ $less(X0,4)
=> inRange(X0,cons(1,cons(3,cons(2,nil)))) ),
inference(theory_normalization,[],[f7]) ).
tff(f9,plain,
! [X1: list,X0: $int] :
( inRange(X0,X1)
<=> ( ? [X3: list,X2: $int] :
( ~ $less(X2,0)
& $less(X2,X0)
& inRange(X0,X3)
& ( X1 = cons(X2,X3) ) )
| ( X1 = nil ) ) ),
inference(theory_normalization,[],[f5]) ).
tff(f10,plain,
! [X1: $int,X0: list] :
( inRange(X1,X0)
<=> ( ? [X2: list,X3: $int] :
( inRange(X1,X2)
& ( cons(X3,X2) = X0 )
& $less(X3,X1)
& ~ $less(X3,0) )
| ( nil = X0 ) ) ),
inference(rectify,[],[f9]) ).
tff(f11,plain,
? [X0: $int] :
( ~ inRange(X0,cons(1,cons(3,cons(2,nil))))
& ~ $less(X0,4) ),
inference(ennf_transformation,[],[f8]) ).
tff(f12,plain,
( ~ inRange(sK0,cons(1,cons(3,cons(2,nil))))
& ~ $less(sK0,4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f11]) ).
tff(f14,plain,
! [X1: $int,X0: list] :
( ( inRange(X1,X0)
| ( ! [X2: list,X3: $int] :
( ~ inRange(X1,X2)
| ( cons(X3,X2) != X0 )
| ~ $less(X3,X1)
| $less(X3,0) )
& ( nil != X0 ) ) )
& ( ? [X2: list,X3: $int] :
( inRange(X1,X2)
& ( cons(X3,X2) = X0 )
& $less(X3,X1)
& ~ $less(X3,0) )
| ( nil = X0 )
| ~ inRange(X1,X0) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f15,plain,
! [X1: $int,X0: list] :
( ( inRange(X1,X0)
| ( ! [X2: list,X3: $int] :
( ~ inRange(X1,X2)
| ( cons(X3,X2) != X0 )
| ~ $less(X3,X1)
| $less(X3,0) )
& ( nil != X0 ) ) )
& ( ? [X2: list,X3: $int] :
( inRange(X1,X2)
& ( cons(X3,X2) = X0 )
& $less(X3,X1)
& ~ $less(X3,0) )
| ( nil = X0 )
| ~ inRange(X1,X0) ) ),
inference(flattening,[],[f14]) ).
tff(f16,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ! [X2: list,X3: $int] :
( ~ inRange(X0,X2)
| ( cons(X3,X2) != X1 )
| ~ $less(X3,X0)
| $less(X3,0) )
& ( nil != X1 ) ) )
& ( ? [X4: list,X5: $int] :
( inRange(X0,X4)
& ( cons(X5,X4) = X1 )
& $less(X5,X0)
& ~ $less(X5,0) )
| ( nil = X1 )
| ~ inRange(X0,X1) ) ),
inference(rectify,[],[f15]) ).
tff(f17,plain,
! [X0: $int,X1: list] :
( ( inRange(X0,X1)
| ( ! [X2: list,X3: $int] :
( ~ inRange(X0,X2)
| ( cons(X3,X2) != X1 )
| ~ $less(X3,X0)
| $less(X3,0) )
& ( nil != X1 ) ) )
& ( ( inRange(X0,sK1(X0,X1))
& ( cons(sK2(X0,X1),sK1(X0,X1)) = X1 )
& $less(sK2(X0,X1),X0)
& ~ $less(sK2(X0,X1),0) )
| ( nil = X1 )
| ~ inRange(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X4,sK1(X0,X1)),skolemize(X5,sK2(X0,X1))],[f16]) ).
tff(f19,plain,
~ $less(sK0,4),
inference(cnf_transformation,[],[f12]) ).
tff(f20,plain,
~ inRange(sK0,cons(1,cons(3,cons(2,nil)))),
inference(cnf_transformation,[],[f12]) ).
tff(f27,plain,
! [X0: $int,X1: list] :
( inRange(X0,X1)
| ( nil != X1 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f28,plain,
! [X2: list,X3: $int,X0: $int,X1: list] :
( inRange(X0,X1)
| ~ inRange(X0,X2)
| ( cons(X3,X2) != X1 )
| ~ $less(X3,X0)
| $less(X3,0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f31,plain,
! [X2: list,X3: $int,X0: $int] :
( inRange(X0,cons(X3,X2))
| ~ inRange(X0,X2)
| $less(X3,0)
| ~ $less(X3,X0) ),
inference(equality_resolution,[],[f28]) ).
tff(f32,plain,
! [X0: $int] : inRange(X0,nil),
inference(equality_resolution,[],[f27]) ).
tff(f34,definition,
( spl3_1
<=> inRange(sK0,cons(1,cons(3,cons(2,nil)))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f36,plain,
( ~ inRange(sK0,cons(1,cons(3,cons(2,nil))))
| spl3_1 ),
inference(avatar_component_clause,[],[f34]) ).
tff(f37,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f20,f34]) ).
tff(f39,definition,
( spl3_2
<=> $less(sK0,4) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f42,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f19,f39]) ).
tff(f50,plain,
( ~ $less(1,sK0)
| $less(1,0)
| ~ inRange(sK0,cons(3,cons(2,nil)))
| spl3_1 ),
inference(resolution,[],[f31,f36]) ).
tff(f53,plain,
( ~ $less(1,sK0)
| ~ inRange(sK0,cons(3,cons(2,nil)))
| spl3_1 ),
inference(evaluation,[],[f50]) ).
tff(f56,definition,
( spl3_3
<=> inRange(sK0,cons(3,cons(2,nil))) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f58,plain,
( ~ inRange(sK0,cons(3,cons(2,nil)))
| spl3_3 ),
inference(avatar_component_clause,[],[f56]) ).
tff(f60,definition,
( spl3_4
<=> $less(1,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f63,plain,
( ~ spl3_3
| ~ spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f53,f34,f60,f56]) ).
tff(f68,plain,
( ~ $less(3,sK0)
| ~ inRange(sK0,cons(2,nil))
| $less(3,0)
| spl3_3 ),
inference(resolution,[],[f58,f31]) ).
tff(f69,plain,
( ~ $less(3,sK0)
| ~ inRange(sK0,cons(2,nil))
| spl3_3 ),
inference(evaluation,[],[f68]) ).
tff(f71,definition,
( spl3_5
<=> inRange(sK0,cons(2,nil)) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f73,plain,
( ~ inRange(sK0,cons(2,nil))
| spl3_5 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f75,definition,
( spl3_6
<=> $less(3,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
tff(f78,plain,
( ~ spl3_5
| ~ spl3_6
| spl3_3 ),
inference(avatar_split_clause,[],[f69,f56,f75,f71]) ).
tff(f79,plain,
( ~ inRange(sK0,nil)
| $less(2,0)
| ~ $less(2,sK0)
| spl3_5 ),
inference(resolution,[],[f73,f31]) ).
tff(f80,plain,
( ~ $less(2,sK0)
| ~ inRange(sK0,nil)
| spl3_5 ),
inference(evaluation,[],[f79]) ).
tff(f81,plain,
( ~ $less(2,sK0)
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f80,f32]) ).
tff(f83,definition,
( spl3_7
<=> $less(2,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
tff(f86,plain,
( ~ spl3_7
| spl3_5 ),
inference(avatar_split_clause,[],[f81,f71,f83]) ).
tff(f87,plain,
$false,
inference(avatar_smt_refutation,[],[f86,f78,f63,f42,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT099_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.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 00:03:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.95/1.13 % (4152308)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.95/1.13 % (4152372)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3085654297:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.95/1.13 % (4152375)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2191924670:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.95/1.13 % (4152374)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3103695045:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.95/1.13 % (4152373)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3815395131:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.95/1.13 % (4152371)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=941040127:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.95/1.13 % (4152375)Instruction limit reached!
% 2.95/1.13 % (4152375)------------------------------
% 2.95/1.13 % (4152375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (4152375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (4152375)CaDiCaL version: 2.1.3
% 2.95/1.13 % (4152375)Termination reason: Instruction limit
% 2.95/1.13 % (4152375)Termination phase: Saturation
% 2.95/1.13 % (4152375)Time elapsed: 0.004 s
% 2.95/1.13 % (4152375)Peak memory usage: 88 MB
% 2.95/1.13 % (4152375)Instructions burned: 5 (million)
% 2.95/1.13 % (4152374)Instruction limit reached!
% 2.95/1.13 % (4152374)------------------------------
% 2.95/1.13 % (4152374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (4152374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (4152374)CaDiCaL version: 2.1.3
% 2.95/1.13 % (4152374)Termination reason: Instruction limit
% 2.95/1.13 % (4152374)Termination phase: Saturation
% 2.95/1.13 % (4152374)Time elapsed: 0.006 s
% 2.95/1.13 % (4152374)Peak memory usage: 88 MB
% 2.95/1.13 % (4152374)Instructions burned: 8 (million)
% 2.95/1.13 % (4152377)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2464257005:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.95/1.13 % (4152376)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=801486946:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.95/1.13 % (4152371)Instruction limit reached!
% 2.95/1.13 % (4152371)------------------------------
% 2.95/1.13 % (4152371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (4152371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (4152371)CaDiCaL version: 2.1.3
% 2.95/1.13 % (4152371)Termination reason: Instruction limit
% 2.95/1.13 % (4152371)Termination phase: Saturation
% 2.95/1.13 % (4152371)Time elapsed: 0.031 s
% 2.95/1.13 % (4152371)Peak memory usage: 115 MB
% 2.95/1.13 % (4152371)Instructions burned: 13 (million)
% 2.95/1.13 % (4152376)First to succeed.
% 2.95/1.13 % (4152376)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4152308"
% 2.95/1.13 % (4152377)Instruction limit reached!
% 2.95/1.13 % (4152377)------------------------------
% 2.95/1.13 % (4152377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (4152377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (4152377)CaDiCaL version: 2.1.3
% 2.95/1.13 % (4152377)Termination reason: Instruction limit
% 2.95/1.13 % (4152377)Termination phase: Saturation
% 2.95/1.13 % (4152377)Time elapsed: 0.047 s
% 2.95/1.13 % (4152377)Peak memory usage: 115 MB
% 2.95/1.13 % (4152377)Instructions burned: 33 (million)
% 2.95/1.13 % (4152372)Instruction limit reached!
% 2.95/1.13 % (4152372)------------------------------
% 2.95/1.13 % (4152372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (4152372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (4152372)CaDiCaL version: 2.1.3
% 2.95/1.13 % (4152372)Termination reason: Instruction limit
% 2.95/1.13 % (4152372)Termination phase: Saturation
% 2.95/1.13 % (4152372)Time elapsed: 0.110 s
% 2.95/1.13 % (4152372)Peak memory usage: 116 MB
% 2.95/1.13 % (4152372)Instructions burned: 310 (million)
% 2.95/1.13 % (4152386)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=919607472:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.88/1.32 % (4152385)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1951879799:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.88/1.32 % (4152385)Instruction limit reached!
% 3.88/1.32 % (4152385)------------------------------
% 3.88/1.32 % (4152385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.32 % (4152385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.32 % (4152385)CaDiCaL version: 2.1.3
% 3.88/1.32 % (4152385)Termination reason: Instruction limit
% 3.88/1.32 % (4152385)Termination phase: Saturation
% 3.88/1.32 % (4152385)Time elapsed: 0.009 s
% 3.88/1.32 % (4152385)Peak memory usage: 88 MB
% 3.88/1.32 % (4152385)Instructions burned: 15 (million)
% 3.88/1.32 % (4152386)Instruction limit reached!
% 3.88/1.32 % (4152386)------------------------------
% 3.88/1.32 % (4152386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.32 % (4152386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.32 % (4152386)CaDiCaL version: 2.1.3
% 3.88/1.32 % (4152386)Termination reason: Instruction limit
% 3.88/1.32 % (4152386)Termination phase: Saturation
% 3.88/1.32 % (4152386)Time elapsed: 0.022 s
% 3.88/1.32 % (4152386)Peak memory usage: 88 MB
% 3.88/1.32 % (4152386)Instructions burned: 30 (million)
% 3.88/1.32 % (4152387)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2360869364:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.88/1.32 % (4152389)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=2034474352:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.88/1.32 % (4152373)Instruction limit reached!
% 3.88/1.32 % (4152373)------------------------------
% 3.88/1.32 % (4152373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.32 % (4152373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.32 % (4152373)CaDiCaL version: 2.1.3
% 3.88/1.32 % (4152373)Termination reason: Instruction limit
% 3.88/1.32 % (4152373)Termination phase: Saturation
% 3.88/1.32 % (4152373)Time elapsed: 0.177 s
% 3.88/1.32 % (4152373)Peak memory usage: 118 MB
% 3.88/1.32 % (4152373)Instructions burned: 201 (million)
% 3.88/1.32 % (4152388)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=223104525:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.88/1.32 % (4152387)Instruction limit reached!
% 3.88/1.32 % (4152387)------------------------------
% 3.88/1.32 % (4152387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.32 % (4152387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.32 % (4152387)CaDiCaL version: 2.1.3
% 3.88/1.32 % (4152387)Termination reason: Instruction limit
% 3.88/1.32 % (4152387)Termination phase: Saturation
% 3.88/1.32 % (4152387)Time elapsed: 0.011 s
% 3.88/1.32 % (4152387)Peak memory usage: 90 MB
% 3.88/1.32 % (4152387)Instructions burned: 17 (million)
% 3.88/1.32 % (4152389)Instruction limit reached!
% 3.88/1.32 % (4152389)------------------------------
% 3.88/1.32 % (4152389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.32 % (4152389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.32 % (4152389)CaDiCaL version: 2.1.3
% 3.88/1.32 % (4152389)Termination reason: Instruction limit
% 3.88/1.32 % (4152389)Termination phase: Saturation
% 3.88/1.32 % (4152389)Time elapsed: 0.010 s
% 3.88/1.32 % (4152389)Peak memory usage: 89 MB
% 3.88/1.32 % (4152389)Instructions burned: 27 (million)
% 3.88/1.32 % (4152388)Instruction limit reached!
% 3.88/1.32 % (4152388)------------------------------
% 3.88/1.32 % (4152388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.32 % (4152388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.32 % (4152388)CaDiCaL version: 2.1.3
% 3.88/1.32 % (4152388)Termination reason: Instruction limit
% 3.88/1.32 % (4152388)Termination phase: Saturation
% 3.88/1.32 % (4152388)Time elapsed: 0.019 s
% 3.88/1.32 % (4152388)Peak memory usage: 89 MB
% 3.88/1.32 % (4152388)Instructions burned: 25 (million)
% 3.88/1.32 % (4152392)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2756083811:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.88/1.32 % (4152393)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2681900059:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 3.88/1.32 % (4152393)Instruction limit reached!
% 3.88/1.32 % (4152393)------------------------------
% 3.88/1.32 % (4152393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.32 % (4152393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.32 % (4152393)CaDiCaL version: 2.1.3
% 3.88/1.32 % (4152393)Termination reason: Instruction limit
% 3.88/1.32 % (4152393)Termination phase: Saturation
% 3.88/1.32 % (4152393)Time elapsed: 0.003 s
% 3.88/1.32 % (4152393)Peak memory usage: 88 MB
% 3.88/1.32 % (4152393)Instructions burned: 3 (million)
% 3.88/1.32 % (4152376)Refutation found. Thanks to Tanya!
% 3.88/1.32 % SZS status Theorem for theBenchmark
% 3.88/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.32 % (4152376)------------------------------
% 3.88/1.32 % (4152376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.32 % (4152376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.32 % (4152376)CaDiCaL version: 2.1.3
% 3.88/1.32 % (4152376)Termination reason: Refutation
% 3.88/1.32 % (4152376)Time elapsed: 0.035 s
% 3.88/1.32 % (4152376)Peak memory usage: 116 MB
% 3.88/1.32 % (4152376)Instructions burned: 14 (million)
% 3.88/1.32 % (4152376)------------------------------
% 3.88/1.32 % (4152376)------------------------------
% 3.88/1.32 % (4152308)Success in time 0.448 s
% 3.88/1.32 % Vampire exiting
%------------------------------------------------------------------------------