%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI620_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:33:30 AM UTC 2026
% Result : Theorem 3.90s 1.31s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 5 unt; 0 typ; 10 def)
% Number of atoms : 180 ( 45 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 199 ( 73 ~; 80 |; 29 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 242 ( 21 atm; 45 fun; 151 num; 25 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 11 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 18 !; 7 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int > $int ).
tff(pred_def_1,type,
pow2: $int > $o ).
tff(f1,conjecture,
( ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& $lesseq(2,X0) )
| ( X0 = 1 ) ) )
=> pow2(8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pow_of_2_8) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& $lesseq(2,X0) )
| ( X0 = 1 ) ) )
=> pow2(8) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& ~ $less(X0,2) )
| ( X0 = 1 ) ) )
=> pow2(8) ),
inference(theory_normalization,[],[f2]) ).
tff(f22,plain,
( ~ pow2(8)
& ! [X0: $int] :
( pow2(X0)
<=> ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& ~ $less(X0,2) )
| ( X0 = 1 ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f23,plain,
( ~ pow2(8)
& ! [X0: $int] :
( ( pow2(X0)
| ( ( ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) )
| $less(X0,2) )
& ( 1 != X0 ) ) )
& ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& ~ $less(X0,2) )
| ( X0 = 1 )
| ~ pow2(X0) ) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f24,plain,
( ~ pow2(8)
& ! [X0: $int] :
( ( pow2(X0)
| ( ( ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) )
| $less(X0,2) )
& ( 1 != X0 ) ) )
& ( ( ? [X1: $int] :
( pow2(X1)
& ( $product(2,X1) = X0 ) )
& ~ $less(X0,2) )
| ( X0 = 1 )
| ~ pow2(X0) ) ) ),
inference(flattening,[],[f23]) ).
tff(f25,plain,
( ~ pow2(8)
& ! [X0: $int] :
( ( pow2(X0)
| ( ( ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) )
| $less(X0,2) )
& ( 1 != X0 ) ) )
& ( ( ? [X2: $int] :
( pow2(X2)
& ( $product(2,X2) = X0 ) )
& ~ $less(X0,2) )
| ( X0 = 1 )
| ~ pow2(X0) ) ) ),
inference(rectify,[],[f24]) ).
tff(f26,plain,
( ~ pow2(8)
& ! [X0: $int] :
( ( pow2(X0)
| ( ( ! [X1: $int] :
( ~ pow2(X1)
| ( $product(2,X1) != X0 ) )
| $less(X0,2) )
& ( 1 != X0 ) ) )
& ( ( pow2(sK0(X0))
& ( $product(2,sK0(X0)) = X0 )
& ~ $less(X0,2) )
| ( X0 = 1 )
| ~ pow2(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f25]) ).
tff(f28,plain,
! [X0: $int] :
( ~ pow2(X0)
| ( $product(2,sK0(X0)) = X0 )
| ( 1 = X0 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f30,plain,
! [X0: $int] :
( pow2(X0)
| ( 1 != X0 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f31,plain,
! [X0: $int,X1: $int] :
( pow2(X0)
| ~ pow2(X1)
| ( $product(2,X1) != X0 )
| $less(X0,2) ),
inference(cnf_transformation,[],[f26]) ).
tff(f32,plain,
~ pow2(8),
inference(cnf_transformation,[],[f26]) ).
tff(f34,plain,
! [X1: $int] :
( pow2($product(2,X1))
| ~ pow2(X1)
| $less($product(2,X1),2) ),
inference(equality_resolution,[],[f31]) ).
tff(f35,plain,
pow2(1),
inference(equality_resolution,[],[f30]) ).
tff(f37,definition,
( spl1_1
<=> pow2(1) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f39,plain,
( pow2(1)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f40,plain,
spl1_1,
inference(avatar_split_clause,[],[f35,f37]) ).
tff(f42,definition,
( spl1_2
<=> pow2(8) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f44,plain,
( ~ pow2(8)
| spl1_2 ),
inference(avatar_component_clause,[],[f42]) ).
tff(f45,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f32,f42]) ).
tff(f48,plain,
! [X0: $int] :
( ~ pow2(X0)
| ( $product(2,X0) = $product(2,sK0($product(2,X0))) )
| ( 1 = $product(2,X0) )
| $less($product(2,X0),2) ),
inference(resolution,[],[f34,f28]) ).
tff(f52,plain,
( ( 1 = $product(2,1) )
| $less($product(2,1),2)
| ( $product(2,1) = $product(2,sK0($product(2,1))) )
| ~ spl1_1 ),
inference(resolution,[],[f48,f39]) ).
tff(f55,plain,
( ( 2 = $product(2,sK0(2)) )
| ~ spl1_1 ),
inference(evaluation,[],[f52]) ).
tff(f57,definition,
( spl1_3
<=> ( 2 = $product(2,sK0(2)) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f59,plain,
( ( 2 = $product(2,sK0(2)) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f60,plain,
( spl1_3
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f55,f37,f57]) ).
tff(f61,plain,
( ~ pow2(sK0(2))
| pow2(2)
| $less(2,2)
| ~ spl1_3 ),
inference(superposition,[],[f34,f59]) ).
tff(f62,plain,
( ~ pow2(sK0(2))
| pow2(2)
| ~ spl1_3 ),
inference(evaluation,[],[f61]) ).
tff(f64,definition,
( spl1_4
<=> pow2(sK0(2)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f68,definition,
( spl1_5
<=> pow2(2) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
tff(f70,plain,
( pow2(2)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f68]) ).
tff(f71,plain,
( ~ spl1_4
| spl1_5
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f62,f57,f68,f64]) ).
tff(f72,plain,
( ( 1 = $product(2,2) )
| $less($product(2,2),2)
| ( $product(2,2) = $product(2,sK0($product(2,2))) )
| ~ spl1_5 ),
inference(resolution,[],[f70,f48]) ).
tff(f77,plain,
( ( 4 = $product(2,sK0(4)) )
| ~ spl1_5 ),
inference(evaluation,[],[f72]) ).
tff(f88,definition,
( spl1_8
<=> ( 4 = $product(2,sK0(4)) ) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
tff(f90,plain,
( ( 4 = $product(2,sK0(4)) )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f88]) ).
tff(f91,plain,
( spl1_8
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f77,f68,f88]) ).
tff(f98,plain,
( pow2(4)
| $less(4,2)
| ~ pow2(sK0(4))
| ~ spl1_8 ),
inference(superposition,[],[f34,f90]) ).
tff(f99,plain,
( pow2(4)
| ~ pow2(sK0(4))
| ~ spl1_8 ),
inference(evaluation,[],[f98]) ).
tff(f101,definition,
( spl1_9
<=> pow2(4) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
tff(f103,plain,
( pow2(4)
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f101]) ).
tff(f105,definition,
( spl1_10
<=> pow2(sK0(4)) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
tff(f108,plain,
( spl1_9
| ~ spl1_10
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f99,f88,f105,f101]) ).
tff(f111,plain,
( $less($product(2,4),2)
| ( 1 = $product(2,4) )
| ( $product(2,4) = $product(2,sK0($product(2,4))) )
| ~ spl1_9 ),
inference(resolution,[],[f103,f48]) ).
tff(f116,plain,
( ( 8 = $product(2,sK0(8)) )
| ~ spl1_9 ),
inference(evaluation,[],[f111]) ).
tff(f127,definition,
( spl1_13
<=> ( 8 = $product(2,sK0(8)) ) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
tff(f129,plain,
( ( 8 = $product(2,sK0(8)) )
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f130,plain,
( spl1_13
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f116,f101,f127]) ).
tff(f135,plain,
( $less(8,2)
| ~ pow2(sK0(8))
| pow2(8)
| ~ spl1_13 ),
inference(superposition,[],[f34,f129]) ).
tff(f136,plain,
( pow2(8)
| ~ pow2(sK0(8))
| ~ spl1_13 ),
inference(evaluation,[],[f135]) ).
tff(f137,plain,
( ~ pow2(sK0(8))
| spl1_2
| ~ spl1_13 ),
inference(forward_subsumption_resolution,[],[f136,f44]) ).
tff(f139,definition,
( spl1_14
<=> pow2(sK0(8)) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
tff(f142,plain,
( ~ spl1_14
| spl1_2
| ~ spl1_13 ),
inference(avatar_split_clause,[],[f137,f127,f42,f139]) ).
tff(f143,plain,
$false,
inference(avatar_smt_refutation,[],[f142,f130,f108,f91,f71,f60,f45,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI620_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:55:43 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.06/1.11 % (2004745)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.06/1.11 % (2004753)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2618850549:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.06/1.11 % (2004753)Instruction limit reached!
% 3.06/1.11 % (2004753)------------------------------
% 3.06/1.11 % (2004753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.11 % (2004753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.11 % (2004753)CaDiCaL version: 2.1.3
% 3.06/1.11 % (2004753)Termination reason: Instruction limit
% 3.06/1.11 % (2004753)Termination phase: Saturation
% 3.06/1.11 % (2004753)Time elapsed: 0.004 s
% 3.06/1.11 % (2004753)Peak memory usage: 88 MB
% 3.06/1.11 % (2004753)Instructions burned: 10 (million)
% 3.06/1.11 % (2004751)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=969428760:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.06/1.11 % (2004752)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2357572621:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.06/1.11 % (2004750)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1084028478:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.06/1.11 % (2004756)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2392413589:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.06/1.11 % (2004754)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2640917225:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.06/1.11 % (2004755)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4105068383:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.06/1.11 % (2004754)Instruction limit reached!
% 3.06/1.11 % (2004754)------------------------------
% 3.06/1.11 % (2004754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.11 % (2004754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.11 % (2004754)CaDiCaL version: 2.1.3
% 3.06/1.11 % (2004754)Termination reason: Instruction limit
% 3.06/1.11 % (2004754)Termination phase: Saturation
% 3.06/1.11 % (2004754)Time elapsed: 0.004 s
% 3.06/1.11 % (2004754)Peak memory usage: 89 MB
% 3.06/1.11 % (2004754)Instructions burned: 5 (million)
% 3.06/1.11 % (2004751)Refutation not found, incomplete strategy
% 3.06/1.11 % (2004751)------------------------------
% 3.06/1.11 % (2004751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.11 % (2004751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.11 % (2004751)CaDiCaL version: 2.1.3
% 3.06/1.11 % (2004751)Termination reason: Refutation not found, incomplete strategy
% 3.06/1.11 % (2004751)Time elapsed: 0.029 s
% 3.06/1.11 % (2004751)Peak memory usage: 115 MB
% 3.06/1.11 % (2004751)Instructions burned: 6 (million)
% 3.06/1.11 % (2004750)Instruction limit reached!
% 3.06/1.11 % (2004750)------------------------------
% 3.06/1.11 % (2004750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.11 % (2004750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.11 % (2004750)CaDiCaL version: 2.1.3
% 3.06/1.11 % (2004750)Termination reason: Instruction limit
% 3.06/1.11 % (2004750)Termination phase: Saturation
% 3.06/1.11 % (2004750)Time elapsed: 0.030 s
% 3.06/1.11 % (2004750)Peak memory usage: 115 MB
% 3.06/1.11 % (2004750)Instructions burned: 12 (million)
% 3.06/1.11 % (2004756)First to succeed.
% 3.06/1.11 % (2004756)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2004745"
% 3.06/1.11 % (2004755)Also succeeded, but the first one will report.
% 3.06/1.11 % (2004758)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3648403896:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.06/1.11 % (2004752)Also succeeded, but the first one will report.
% 3.06/1.11 % (2004758)Instruction limit reached!
% 3.06/1.11 % (2004758)------------------------------
% 3.06/1.11 % (2004758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.11 % (2004758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.11 % (2004758)CaDiCaL version: 2.1.3
% 3.06/1.11 % (2004758)Termination reason: Instruction limit
% 3.06/1.11 % (2004758)Termination phase: Saturation
% 3.90/1.31 % (2004758)Time elapsed: 0.006 s
% 3.90/1.31 % (2004758)Peak memory usage: 88 MB
% 3.90/1.31 % (2004758)Instructions burned: 17 (million)
% 3.90/1.31 % (2004765)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=3601746347:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.90/1.31 % (2004765)Instruction limit reached!
% 3.90/1.31 % (2004765)------------------------------
% 3.90/1.31 % (2004765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.31 % (2004765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.31 % (2004765)CaDiCaL version: 2.1.3
% 3.90/1.31 % (2004765)Termination reason: Instruction limit
% 3.90/1.31 % (2004765)Termination phase: Saturation
% 3.90/1.31 % (2004765)Time elapsed: 0.017 s
% 3.90/1.31 % (2004765)Peak memory usage: 88 MB
% 3.90/1.31 % (2004765)Instructions burned: 29 (million)
% 3.90/1.31 % (2004766)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=830599612:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.90/1.31 % (2004768)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2914617523:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.90/1.31 % (2004766)Also succeeded, but the first one will report.
% 3.90/1.31 % (2004768)Instruction limit reached!
% 3.90/1.31 % (2004768)------------------------------
% 3.90/1.31 % (2004768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.31 % (2004768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.31 % (2004768)CaDiCaL version: 2.1.3
% 3.90/1.31 % (2004768)Termination reason: Instruction limit
% 3.90/1.31 % (2004768)Termination phase: Saturation
% 3.90/1.31 % (2004768)Time elapsed: 0.009 s
% 3.90/1.31 % (2004768)Peak memory usage: 89 MB
% 3.90/1.31 % (2004768)Instructions burned: 24 (million)
% 3.90/1.31 % (2004751)------------------------------
% 3.90/1.31 % (2004751)------------------------------
% 3.90/1.31 % (2004773)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=993381803:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.90/1.31 % (2004770)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=801817308:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 3.90/1.31 % (2004756)Refutation found. Thanks to Tanya!
% 3.90/1.31 % SZS status Theorem for theBenchmark
% 3.90/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.31 % (2004756)------------------------------
% 3.90/1.31 % (2004756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.31 % (2004756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.31 % (2004756)CaDiCaL version: 2.1.3
% 3.90/1.31 % (2004756)Termination reason: Refutation
% 3.90/1.31 % (2004756)Time elapsed: 0.038 s
% 3.90/1.31 % (2004756)Peak memory usage: 116 MB
% 3.90/1.31 % (2004756)Instructions burned: 18 (million)
% 3.90/1.31 % (2004756)------------------------------
% 3.90/1.31 % (2004756)------------------------------
% 3.90/1.31 % (2004745)Success in time 0.463 s
% 3.90/1.31 % Vampire exiting
%------------------------------------------------------------------------------