%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT026_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 : n016.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 09:47:08 AM UTC 2026
% Result : Theorem 0.18s 1.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 9 unt; 0 typ; 9 def)
% Number of atoms : 165 ( 29 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 164 ( 55 ~; 51 |; 36 &)
% ( 13 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 116 ( 21 atm; 15 fun; 36 num; 44 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 : 14 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 68 ( 56 !; 12 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: collection ).
tff(func_def_8,type,
sK2: collection ).
tff(func_def_9,type,
sK3: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f4,axiom,
! [X0: $int,X2: $int,X1: collection] :
( in(X0,add(X2,X1))
<=> ( ( X0 = X2 )
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f5,axiom,
! [X1: collection,X0: $int,X2: $int] :
( ( ( X0 != X2 )
& in(X0,X1) )
<=> in(X0,remove(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f6,conjecture,
! [X0: collection,X1: collection,X2: $int] :
( ( ! [X3: $int] :
( in(X3,X1)
=> $greater(X3,0) )
& in(X2,X1)
& ( X0 = add($sum(X2,2),remove(X2,X1)) ) )
=> ! [X4: $int] :
( in(X4,X0)
=> $greater(X4,0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f7,negated_conjecture,
~ ! [X0: collection,X1: collection,X2: $int] :
( ( ! [X3: $int] :
( in(X3,X1)
=> $greater(X3,0) )
& in(X2,X1)
& ( X0 = add($sum(X2,2),remove(X2,X1)) ) )
=> ! [X4: $int] :
( in(X4,X0)
=> $greater(X4,0) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
~ ! [X0: collection,X2: $int,X1: collection] :
( ( in(X2,X1)
& ( X0 = add($sum(X2,2),remove(X2,X1)) )
& ! [X3: $int] :
( in(X3,X1)
=> $less(0,X3) ) )
=> ! [X4: $int] :
( in(X4,X0)
=> $less(0,X4) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f9,plain,
! [X1: $int,X2: $int,X0: collection] :
( in(X1,remove(X2,X0))
<=> ( ( X1 != X2 )
& in(X1,X0) ) ),
inference(rectify,[],[f5]) ).
tff(f10,plain,
! [X2: collection,X1: $int,X0: $int] :
( in(X0,add(X1,X2))
<=> ( in(X0,X2)
| ( X0 = X1 ) ) ),
inference(rectify,[],[f4]) ).
tff(f13,plain,
? [X0: collection,X2: $int,X1: collection] :
( ? [X4: $int] :
( in(X4,X0)
& ~ $less(0,X4) )
& in(X2,X1)
& ( X0 = add($sum(X2,2),remove(X2,X1)) )
& ! [X3: $int] :
( ~ in(X3,X1)
| $less(0,X3) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f14,plain,
? [X2: $int,X0: collection,X1: collection] :
( in(X2,X1)
& ( X0 = add($sum(X2,2),remove(X2,X1)) )
& ! [X3: $int] :
( ~ in(X3,X1)
| $less(0,X3) )
& ? [X4: $int] :
( in(X4,X0)
& ~ $less(0,X4) ) ),
inference(flattening,[],[f13]) ).
tff(f15,plain,
! [X2: collection,X1: $int,X0: $int] :
( ( in(X0,add(X1,X2))
| ( ~ in(X0,X2)
& ( X0 != X1 ) ) )
& ( in(X0,X2)
| ( X0 = X1 )
| ~ in(X0,add(X1,X2)) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f16,plain,
! [X2: collection,X1: $int,X0: $int] :
( ( in(X0,add(X1,X2))
| ( ~ in(X0,X2)
& ( X0 != X1 ) ) )
& ( in(X0,X2)
| ( X0 = X1 )
| ~ in(X0,add(X1,X2)) ) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( in(X2,add(X1,X0))
| ( ~ in(X2,X0)
& ( X1 != X2 ) ) )
& ( in(X2,X0)
| ( X1 = X2 )
| ~ in(X2,add(X1,X0)) ) ),
inference(rectify,[],[f16]) ).
tff(f18,plain,
? [X0: $int,X1: collection,X2: collection] :
( in(X0,X2)
& ( add($sum(X0,2),remove(X0,X2)) = X1 )
& ! [X3: $int] :
( ~ in(X3,X2)
| $less(0,X3) )
& ? [X4: $int] :
( in(X4,X1)
& ~ $less(0,X4) ) ),
inference(rectify,[],[f14]) ).
tff(f19,plain,
( in(sK0,sK2)
& ( sK1 = add($sum(sK0,2),remove(sK0,sK2)) )
& ! [X3: $int] :
( ~ in(X3,sK2)
| $less(0,X3) )
& in(sK3,sK1)
& ~ $less(0,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X4,sK3)],[f18]) ).
tff(f20,plain,
! [X1: $int,X2: $int,X0: collection] :
( ( in(X1,remove(X2,X0))
| ( X1 = X2 )
| ~ in(X1,X0) )
& ( ( ( X1 != X2 )
& in(X1,X0) )
| ~ in(X1,remove(X2,X0)) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f21,plain,
! [X1: $int,X2: $int,X0: collection] :
( ( in(X1,remove(X2,X0))
| ( X1 = X2 )
| ~ in(X1,X0) )
& ( ( ( X1 != X2 )
& in(X1,X0) )
| ~ in(X1,remove(X2,X0)) ) ),
inference(flattening,[],[f20]) ).
tff(f22,plain,
! [X0: $int,X1: $int,X2: collection] :
( ( in(X0,remove(X1,X2))
| ( X0 = X1 )
| ~ in(X0,X2) )
& ( ( ( X0 != X1 )
& in(X0,X2) )
| ~ in(X0,remove(X1,X2)) ) ),
inference(rectify,[],[f21]) ).
tff(f24,plain,
! [X2: $int,X0: collection,X1: $int] :
( ~ in(X2,add(X1,X0))
| ( X1 = X2 )
| in(X2,X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f28,plain,
~ $less(0,sK3),
inference(cnf_transformation,[],[f19]) ).
tff(f29,plain,
in(sK3,sK1),
inference(cnf_transformation,[],[f19]) ).
tff(f30,plain,
! [X3: $int] :
( ~ in(X3,sK2)
| $less(0,X3) ),
inference(cnf_transformation,[],[f19]) ).
tff(f31,plain,
sK1 = add($sum(sK0,2),remove(sK0,sK2)),
inference(cnf_transformation,[],[f19]) ).
tff(f32,plain,
in(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
tff(f34,plain,
! [X2: collection,X0: $int,X1: $int] :
( ~ in(X0,remove(X1,X2))
| in(X0,X2) ),
inference(cnf_transformation,[],[f22]) ).
tff(f40,definition,
( spl4_1
<=> ( sK1 = add($sum(sK0,2),remove(sK0,sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
tff(f42,plain,
( ( sK1 = add($sum(sK0,2),remove(sK0,sK2)) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f43,plain,
spl4_1,
inference(avatar_split_clause,[],[f31,f40]) ).
tff(f45,definition,
( spl4_2
<=> $less(0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
tff(f47,plain,
( ~ $less(0,sK3)
| spl4_2 ),
inference(avatar_component_clause,[],[f45]) ).
tff(f48,plain,
~ spl4_2,
inference(avatar_split_clause,[],[f28,f45]) ).
tff(f50,definition,
( spl4_3
<=> in(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
tff(f52,plain,
( in(sK3,sK1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f53,plain,
spl4_3,
inference(avatar_split_clause,[],[f29,f50]) ).
tff(f55,definition,
( spl4_4
<=> in(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
tff(f57,plain,
( in(sK0,sK2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f58,plain,
spl4_4,
inference(avatar_split_clause,[],[f32,f55]) ).
tff(f59,plain,
( in(sK3,add($sum(sK0,2),remove(sK0,sK2)))
| ~ spl4_1
| ~ spl4_3 ),
inference(forward_demodulation,[],[f52,f42]) ).
tff(f61,definition,
( spl4_5
<=> in(sK3,add($sum(sK0,2),remove(sK0,sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
tff(f63,plain,
( in(sK3,add($sum(sK0,2),remove(sK0,sK2)))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f61]) ).
tff(f64,plain,
( spl4_5
| ~ spl4_1
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f59,f50,f40,f61]) ).
tff(f65,plain,
( $less(0,sK0)
| ~ spl4_4 ),
inference(resolution,[],[f30,f57]) ).
tff(f67,definition,
( spl4_6
<=> $less(0,sK0) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
tff(f70,plain,
( spl4_6
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f65,f55,f67]) ).
tff(f71,plain,
( in(sK3,remove(sK0,sK2))
| ( sK3 = $sum(sK0,2) )
| ~ spl4_5 ),
inference(resolution,[],[f24,f63]) ).
tff(f75,definition,
( spl4_7
<=> in(sK3,remove(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
tff(f77,plain,
( in(sK3,remove(sK0,sK2))
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f75]) ).
tff(f79,definition,
( spl4_8
<=> ( sK3 = $sum(sK0,2) ) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
tff(f82,plain,
( spl4_7
| spl4_8
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f71,f61,f79,f75]) ).
tff(f83,plain,
( in(sK3,sK2)
| ~ spl4_7 ),
inference(resolution,[],[f77,f34]) ).
tff(f85,definition,
( spl4_9
<=> in(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
tff(f87,plain,
( in(sK3,sK2)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f85]) ).
tff(f88,plain,
( spl4_9
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f83,f75,f85]) ).
tff(f91,plain,
( $less(0,sK3)
| ~ spl4_9 ),
inference(resolution,[],[f87,f30]) ).
tff(f92,plain,
( $false
| spl4_2
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f91,f47]) ).
tff(f93,plain,
( spl4_2
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f92]) ).
tff(f94,plain,
$false,
inference(avatar_smt_refutation,[],[f93,f88,f82,f70,f64,f58,f53,f48,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT026_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n016.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 00:10:34 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.07/1.12 % (4168290)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.07/1.12 % (4168301)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1154875647:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.07/1.12 % (4168301)Instruction limit reached!
% 3.07/1.12 % (4168301)------------------------------
% 3.07/1.12 % (4168301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.12 % (4168301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.12 % (4168301)CaDiCaL version: 2.1.3
% 3.07/1.12 % (4168301)Termination reason: Instruction limit
% 3.07/1.12 % (4168301)Termination phase: Saturation
% 3.07/1.12 % (4168301)Time elapsed: 0.031 s
% 3.07/1.12 % (4168301)Peak memory usage: 116 MB
% 3.07/1.12 % (4168301)Instructions burned: 35 (million)
% 3.07/1.12 % (4168298)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4122264157:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.07/1.12 % (4168296)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2988676472:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.07/1.12 % (4168300)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3987926622:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.07/1.12 % (4168299)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1836393302:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.07/1.12 % (4168295)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2362418602:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.07/1.12 % (4168297)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=680542507:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.07/1.12 % (4168299)Instruction limit reached!
% 3.07/1.12 % (4168299)------------------------------
% 3.07/1.12 % (4168299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.12 % (4168299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.12 % (4168299)CaDiCaL version: 2.1.3
% 3.07/1.12 % (4168299)Termination reason: Instruction limit
% 3.07/1.12 % (4168299)Termination phase: Saturation
% 3.07/1.12 % (4168299)Time elapsed: 0.004 s
% 3.07/1.12 % (4168299)Peak memory usage: 88 MB
% 3.07/1.12 % (4168299)Instructions burned: 5 (million)
% 3.07/1.12 % (4168298)Instruction limit reached!
% 3.07/1.12 % (4168298)------------------------------
% 3.07/1.12 % (4168298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.12 % (4168298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.12 % (4168298)CaDiCaL version: 2.1.3
% 3.07/1.12 % (4168298)Termination reason: Instruction limit
% 3.07/1.12 % (4168298)Termination phase: Saturation
% 3.07/1.12 % (4168298)Time elapsed: 0.006 s
% 3.07/1.12 % (4168298)Peak memory usage: 88 MB
% 3.07/1.12 % (4168298)Instructions burned: 8 (million)
% 3.07/1.12 % (4168295)Instruction limit reached!
% 3.07/1.12 % (4168295)------------------------------
% 3.07/1.12 % (4168295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.12 % (4168295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.12 % (4168295)CaDiCaL version: 2.1.3
% 3.07/1.12 % (4168295)Termination reason: Instruction limit
% 3.07/1.12 % (4168295)Time elapsed: 0.031 s
% 3.07/1.12 % (4168295)Peak memory usage: 115 MB
% 3.07/1.12 % (4168295)Instructions burned: 12 (million)
% 3.07/1.12 % (4168300)First to succeed.
% 3.07/1.12 % (4168296)Refutation not found, incomplete strategy
% 3.07/1.12 % (4168296)------------------------------
% 3.07/1.12 % (4168296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.12 % (4168296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.12 % (4168296)CaDiCaL version: 2.1.3
% 3.07/1.12 % (4168296)Termination reason: Refutation not found, incomplete strategy
% 3.07/1.12 % (4168296)Time elapsed: 0.036 s
% 3.07/1.12 % (4168296)Peak memory usage: 115 MB
% 3.07/1.12 % (4168296)Instructions burned: 15 (million)
% 3.07/1.12 % (4168300)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4168290"
% 3.07/1.12 % (4168297)Also succeeded, but the first one will report.
% 3.07/1.12 % (4168303)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1934571849:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.18/1.31 % (4168303)Refutation not found, incomplete strategy
% 0.18/1.31 % (4168303)------------------------------
% 0.18/1.31 % (4168303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (4168303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (4168303)CaDiCaL version: 2.1.3
% 0.18/1.31 % (4168303)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.31 % (4168303)Time elapsed: 0.002 s
% 0.18/1.31 % (4168303)Peak memory usage: 89 MB
% 0.18/1.31 % (4168303)Instructions burned: 2 (million)
% 0.18/1.31 % (4168311)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=151399577:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 0.18/1.31 % (4168310)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=2793163805:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 0.18/1.31 % (4168311)Refutation not found, incomplete strategy
% 0.18/1.31 % (4168311)------------------------------
% 0.18/1.31 % (4168311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (4168311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (4168311)CaDiCaL version: 2.1.3
% 0.18/1.31 % (4168311)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.31 % (4168311)Time elapsed: 0.007 s
% 0.18/1.31 % (4168311)Peak memory usage: 90 MB
% 0.18/1.31 % (4168311)Instructions burned: 8 (million)
% 0.18/1.31 % (4168310)Instruction limit reached!
% 0.18/1.31 % (4168310)------------------------------
% 0.18/1.31 % (4168310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (4168310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (4168310)CaDiCaL version: 2.1.3
% 0.18/1.31 % (4168310)Termination reason: Instruction limit
% 0.18/1.31 % (4168310)Termination phase: Saturation
% 0.18/1.31 % (4168310)Time elapsed: 0.021 s
% 0.18/1.31 % (4168310)Peak memory usage: 88 MB
% 0.18/1.31 % (4168310)Instructions burned: 30 (million)
% 0.18/1.31 % (4168312)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3465062976:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 0.18/1.31 % (4168312)Instruction limit reached!
% 0.18/1.31 % (4168312)------------------------------
% 0.18/1.31 % (4168312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (4168312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (4168312)CaDiCaL version: 2.1.3
% 0.18/1.31 % (4168312)Termination reason: Instruction limit
% 0.18/1.31 % (4168312)Termination phase: Saturation
% 0.18/1.31 % (4168312)Time elapsed: 0.020 s
% 0.18/1.31 % (4168312)Peak memory usage: 89 MB
% 0.18/1.31 % (4168312)Instructions burned: 25 (million)
% 0.18/1.31 % (4168303)------------------------------
% 0.18/1.31 % (4168303)------------------------------
% 0.18/1.31 % (4168296)------------------------------
% 0.18/1.31 % (4168296)------------------------------
% 0.18/1.31 % (4168300)Refutation found. Thanks to Tanya!
% 0.18/1.31 % SZS status Theorem for theBenchmark
% 0.18/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.31 % (4168300)------------------------------
% 0.18/1.31 % (4168300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (4168300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (4168300)CaDiCaL version: 2.1.3
% 0.18/1.31 % (4168300)Termination reason: Refutation
% 0.18/1.31 % (4168300)Time elapsed: 0.037 s
% 0.18/1.31 % (4168300)Peak memory usage: 116 MB
% 0.18/1.31 % (4168300)Instructions burned: 15 (million)
% 0.18/1.31 % (4168300)------------------------------
% 0.18/1.31 % (4168300)------------------------------
% 0.18/1.31 % (4168290)Success in time 0.468 s
% 0.18/1.31 % Vampire exiting
%------------------------------------------------------------------------------