%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI621_3 : 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 : n001.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 6.29s 1.65s
% Output : Refutation 6.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 3 unt; 0 typ; 11 def)
% Number of atoms : 154 ( 45 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 162 ( 53 ~; 62 |; 29 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 164 ( 15 atm; 20 fun; 107 num; 22 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 : 16 ( 12 usr; 12 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 15 !; 7 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $real > $real ).
tff(pred_def_1,type,
pow2: $real > $o ).
tff(f1,conjecture,
( ! [X0: $real] :
( pow2(X0)
<=> ( ( X0 = 1/1 )
| ( $lesseq(2/1,X0)
& ? [X1: $real] :
( ( $product(2/1,X1) = X0 )
& pow2(X1) ) ) ) )
=> ~ pow2(12/1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_pow_of_2_10) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $real] :
( pow2(X0)
<=> ( ( X0 = 1/1 )
| ( $lesseq(2/1,X0)
& ? [X1: $real] :
( ( $product(2/1,X1) = X0 )
& pow2(X1) ) ) ) )
=> ~ pow2(12/1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ! [X0: $real] :
( ( ( X0 = 1/1 )
| ( ~ $less(X0,2/1)
& ? [X1: $real] :
( ( $product(2/1,X1) = X0 )
& pow2(X1) ) ) )
<=> pow2(X0) )
=> ~ pow2(12/1) ),
inference(theory_normalization,[],[f2]) ).
tff(f21,plain,
( pow2(12/1)
& ! [X0: $real] :
( ( ( X0 = 1/1 )
| ( ~ $less(X0,2/1)
& ? [X1: $real] :
( ( $product(2/1,X1) = X0 )
& pow2(X1) ) ) )
<=> pow2(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f22,plain,
( pow2(12/1)
& ! [X0: $real] :
( ( ( X0 = 1/1 )
| ( ~ $less(X0,2/1)
& ? [X1: $real] :
( ( $product(2/1,X1) = X0 )
& pow2(X1) ) )
| ~ pow2(X0) )
& ( pow2(X0)
| ( ( 1/1 != X0 )
& ( $less(X0,2/1)
| ! [X1: $real] :
( ( $product(2/1,X1) != X0 )
| ~ pow2(X1) ) ) ) ) ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f23,plain,
( pow2(12/1)
& ! [X0: $real] :
( ( ( X0 = 1/1 )
| ( ~ $less(X0,2/1)
& ? [X1: $real] :
( ( $product(2/1,X1) = X0 )
& pow2(X1) ) )
| ~ pow2(X0) )
& ( pow2(X0)
| ( ( 1/1 != X0 )
& ( $less(X0,2/1)
| ! [X1: $real] :
( ( $product(2/1,X1) != X0 )
| ~ pow2(X1) ) ) ) ) ) ),
inference(flattening,[],[f22]) ).
tff(f24,plain,
( pow2(12/1)
& ! [X0: $real] :
( ( ( X0 = 1/1 )
| ( ~ $less(X0,2/1)
& ? [X1: $real] :
( ( $product(2/1,X1) = X0 )
& pow2(X1) ) )
| ~ pow2(X0) )
& ( pow2(X0)
| ( ( 1/1 != X0 )
& ( $less(X0,2/1)
| ! [X2: $real] :
( ( $product(2/1,X2) != X0 )
| ~ pow2(X2) ) ) ) ) ) ),
inference(rectify,[],[f23]) ).
tff(f25,plain,
( pow2(12/1)
& ! [X0: $real] :
( ( ( X0 = 1/1 )
| ( ~ $less(X0,2/1)
& ( $product(2/1,sK0(X0)) = X0 )
& pow2(sK0(X0)) )
| ~ pow2(X0) )
& ( pow2(X0)
| ( ( 1/1 != X0 )
& ( $less(X0,2/1)
| ! [X2: $real] :
( ( $product(2/1,X2) != X0 )
| ~ pow2(X2) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f24]) ).
tff(f28,plain,
! [X0: $real] :
( ~ pow2(X0)
| pow2(sK0(X0))
| ( 1/1 = X0 ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f29,plain,
! [X0: $real] :
( ~ pow2(X0)
| ( $product(2/1,sK0(X0)) = X0 )
| ( 1/1 = X0 ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f30,plain,
! [X0: $real] :
( ~ pow2(X0)
| ~ $less(X0,2/1)
| ( 1/1 = X0 ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f31,plain,
pow2(12/1),
inference(cnf_transformation,[],[f25]) ).
tff(f33,definition,
( spl1_1
<=> pow2(12/1) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f35,plain,
( pow2(12/1)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f36,plain,
spl1_1,
inference(avatar_split_clause,[],[f31,f33]) ).
tff(f48,plain,
( ( 1/1 = 12/1 )
| pow2(sK0(12/1))
| ~ spl1_1 ),
inference(resolution,[],[f28,f35]) ).
tff(f50,plain,
( pow2(sK0(12/1))
| ~ spl1_1 ),
inference(evaluation,[],[f48]) ).
tff(f52,definition,
( spl1_3
<=> pow2(sK0(12/1)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f54,plain,
( pow2(sK0(12/1))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f52]) ).
tff(f55,plain,
( spl1_3
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f50,f33,f52]) ).
tff(f58,plain,
( ( 1/1 = 12/1 )
| ( 12/1 = $product(2/1,sK0(12/1)) )
| ~ spl1_1 ),
inference(resolution,[],[f29,f35]) ).
tff(f60,plain,
( ( 12/1 = $product(2/1,sK0(12/1)) )
| ~ spl1_1 ),
inference(evaluation,[],[f58]) ).
tff(f62,definition,
( spl1_4
<=> ( 12/1 = $product(2/1,sK0(12/1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f65,plain,
( spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f60,f33,f62]) ).
tff(f81,plain,
( ( 1/1 = sK0(12/1) )
| ( sK0(12/1) = $product(2/1,sK0(sK0(12/1))) )
| ~ spl1_3 ),
inference(resolution,[],[f54,f29]) ).
tff(f83,plain,
( pow2(sK0(sK0(12/1)))
| ( 1/1 = sK0(12/1) )
| ~ spl1_3 ),
inference(resolution,[],[f54,f28]) ).
tff(f89,definition,
( spl1_7
<=> ( 1/1 = sK0(12/1) ) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
tff(f94,definition,
( spl1_8
<=> pow2(sK0(sK0(12/1))) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
tff(f96,plain,
( pow2(sK0(sK0(12/1)))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f94]) ).
tff(f97,plain,
( spl1_7
| spl1_8
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f83,f52,f94,f89]) ).
tff(f99,definition,
( spl1_9
<=> ( sK0(12/1) = $product(2/1,sK0(sK0(12/1))) ) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
tff(f102,plain,
( spl1_9
| spl1_7
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f81,f52,f89,f99]) ).
tff(f158,plain,
( ( $product(2/1,sK0(sK0(sK0(12/1)))) = sK0(sK0(12/1)) )
| ( 1/1 = sK0(sK0(12/1)) )
| ~ spl1_8 ),
inference(resolution,[],[f96,f29]) ).
tff(f160,plain,
( pow2(sK0(sK0(sK0(12/1))))
| ( 1/1 = sK0(sK0(12/1)) )
| ~ spl1_8 ),
inference(resolution,[],[f96,f28]) ).
tff(f163,definition,
( spl1_15
<=> pow2(sK0(sK0(sK0(12/1)))) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
tff(f165,plain,
( pow2(sK0(sK0(sK0(12/1))))
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f163]) ).
tff(f167,definition,
( spl1_16
<=> ( 1/1 = sK0(sK0(12/1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
tff(f170,plain,
( spl1_15
| spl1_16
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f160,f94,f167,f163]) ).
tff(f172,definition,
( spl1_17
<=> ( $product(2/1,sK0(sK0(sK0(12/1)))) = sK0(sK0(12/1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
tff(f175,plain,
( spl1_17
| spl1_16
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f158,f94,f167,f172]) ).
tff(f331,plain,
( ~ $less(sK0(sK0(sK0(12/1))),2/1)
| ( 1/1 = sK0(sK0(sK0(12/1))) )
| ~ spl1_15 ),
inference(resolution,[],[f165,f30]) ).
tff(f334,definition,
( spl1_30
<=> ( 1/1 = sK0(sK0(sK0(12/1))) ) ),
introduced(definition,[new_symbols(definition,[spl1_30])],[avatar_definition]) ).
tff(f343,definition,
( spl1_32
<=> $less(sK0(sK0(sK0(12/1))),2/1) ),
introduced(definition,[new_symbols(definition,[spl1_32])],[avatar_definition]) ).
tff(f346,plain,
( spl1_30
| ~ spl1_32
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f331,f163,f343,f334]) ).
tff(f353,plain,
$false,
inference(avatar_smt_refutation,[],[f346,f175,f170,f102,f97,f65,f55,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI621_3 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n001.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 20:59:49 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 3.75/1.21 % (736387)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.75/1.21 % (736393)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3800217805:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.75/1.21 % (736393)Refutation not found, incomplete strategy
% 3.75/1.21 % (736393)------------------------------
% 3.75/1.21 % (736393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (736393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (736393)CaDiCaL version: 2.1.3
% 3.75/1.21 % (736393)Termination reason: Refutation not found, incomplete strategy
% 3.75/1.21 % (736393)Time elapsed: 0.019 s
% 3.75/1.21 % (736393)Peak memory usage: 115 MB
% 3.75/1.21 % (736393)Instructions burned: 6 (million)
% 3.75/1.21 % (736398)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3755972714:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.75/1.21 % (736392)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2634609336:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.75/1.21 % (736395)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2717222850:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.75/1.21 % (736396)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=997604942:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.75/1.21 % (736394)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4102887343:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.75/1.21 % (736397)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=932817591:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.75/1.21 % (736396)Instruction limit reached!
% 3.75/1.21 % (736396)------------------------------
% 3.75/1.21 % (736396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (736396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (736396)CaDiCaL version: 2.1.3
% 3.75/1.21 % (736396)Termination reason: Instruction limit
% 3.75/1.21 % (736396)Termination phase: Saturation
% 3.75/1.21 % (736396)Time elapsed: 0.004 s
% 3.75/1.21 % (736396)Peak memory usage: 89 MB
% 3.75/1.21 % (736396)Instructions burned: 4 (million)
% 3.75/1.21 % (736395)Instruction limit reached!
% 3.75/1.21 % (736395)------------------------------
% 3.75/1.21 % (736395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (736395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (736395)CaDiCaL version: 2.1.3
% 3.75/1.21 % (736395)Termination reason: Instruction limit
% 3.75/1.21 % (736395)Termination phase: Saturation
% 3.75/1.21 % (736395)Time elapsed: 0.005 s
% 3.75/1.21 % (736395)Peak memory usage: 88 MB
% 3.75/1.21 % (736395)Instructions burned: 7 (million)
% 3.75/1.21 % (736392)Instruction limit reached!
% 3.75/1.21 % (736392)------------------------------
% 3.75/1.21 % (736392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (736392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (736392)CaDiCaL version: 2.1.3
% 3.75/1.21 % (736392)Termination reason: Instruction limit
% 3.75/1.21 % (736392)Termination phase: Saturation
% 3.75/1.21 % (736392)Time elapsed: 0.031 s
% 3.75/1.21 % (736392)Peak memory usage: 115 MB
% 3.75/1.21 % (736392)Instructions burned: 13 (million)
% 3.75/1.21 % (736398)Instruction limit reached!
% 3.75/1.21 % (736398)------------------------------
% 3.75/1.21 % (736398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (736398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (736398)CaDiCaL version: 2.1.3
% 3.75/1.21 % (736398)Termination reason: Instruction limit
% 3.75/1.21 % (736398)Termination phase: Saturation
% 3.75/1.21 % (736398)Time elapsed: 0.047 s
% 3.75/1.21 % (736398)Peak memory usage: 116 MB
% 3.75/1.21 % (736398)Instructions burned: 33 (million)
% 3.75/1.21 % (736397)Instruction limit reached!
% 3.75/1.21 % (736397)------------------------------
% 3.75/1.21 % (736397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.21 % (736397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.21 % (736397)CaDiCaL version: 2.1.3
% 3.75/1.21 % (736397)Termination reason: Instruction limit
% 4.58/1.36 % (736397)Termination phase: Saturation
% 4.58/1.36 % (736397)Time elapsed: 0.054 s
% 4.58/1.36 % (736397)Peak memory usage: 116 MB
% 4.58/1.36 % (736397)Instructions burned: 47 (million)
% 4.58/1.36 % (736393)------------------------------
% 4.58/1.36 % (736393)------------------------------
% 4.58/1.36 % (736406)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1749471503:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.58/1.36 % (736407)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=916376380:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.58/1.36 % (736406)Instruction limit reached!
% 4.58/1.36 % (736406)------------------------------
% 4.58/1.36 % (736406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.36 % (736406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.36 % (736406)CaDiCaL version: 2.1.3
% 4.58/1.36 % (736406)Termination reason: Instruction limit
% 4.58/1.36 % (736406)Termination phase: Saturation
% 4.58/1.36 % (736406)Time elapsed: 0.011 s
% 4.58/1.36 % (736406)Peak memory usage: 88 MB
% 4.58/1.36 % (736406)Instructions burned: 15 (million)
% 4.58/1.36 % (736408)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=910224052:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.58/1.36 % (736407)Instruction limit reached!
% 4.58/1.36 % (736407)------------------------------
% 4.58/1.36 % (736407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.36 % (736407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.36 % (736407)CaDiCaL version: 2.1.3
% 4.58/1.36 % (736407)Termination reason: Instruction limit
% 4.58/1.36 % (736407)Termination phase: Saturation
% 4.58/1.36 % (736407)Time elapsed: 0.019 s
% 4.58/1.36 % (736407)Peak memory usage: 88 MB
% 4.58/1.36 % (736407)Instructions burned: 30 (million)
% 4.58/1.36 % (736394)Instruction limit reached!
% 4.58/1.36 % (736394)------------------------------
% 4.58/1.36 % (736394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.36 % (736394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.36 % (736394)CaDiCaL version: 2.1.3
% 4.58/1.36 % (736394)Termination reason: Instruction limit
% 4.58/1.36 % (736394)Termination phase: Saturation
% 4.58/1.36 % (736394)Time elapsed: 0.164 s
% 4.58/1.36 % (736394)Peak memory usage: 117 MB
% 4.58/1.36 % (736394)Instructions burned: 203 (million)
% 4.58/1.36 % (736408)Refutation not found, incomplete strategy
% 4.58/1.36 % (736408)------------------------------
% 4.58/1.36 % (736408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.36 % (736408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.36 % (736408)CaDiCaL version: 2.1.3
% 4.58/1.36 % (736408)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.36 % (736408)Time elapsed: 0.008 s
% 4.58/1.36 % (736408)Peak memory usage: 90 MB
% 4.58/1.36 % (736408)Instructions burned: 13 (million)
% 4.58/1.36 % (736409)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1689794812:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.58/1.36 % (736410)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=4040227895:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.58/1.36 % (736409)Instruction limit reached!
% 4.58/1.36 % (736409)------------------------------
% 4.58/1.36 % (736409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.36 % (736409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.36 % (736409)CaDiCaL version: 2.1.3
% 4.58/1.36 % (736409)Termination reason: Instruction limit
% 4.58/1.36 % (736409)Termination phase: Saturation
% 4.58/1.36 % (736409)Time elapsed: 0.021 s
% 4.58/1.36 % (736409)Peak memory usage: 89 MB
% 4.58/1.36 % (736409)Instructions burned: 30 (million)
% 4.58/1.36 % (736410)Instruction limit reached!
% 4.58/1.36 % (736410)------------------------------
% 4.58/1.36 % (736410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.36 % (736410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.36 % (736410)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736410)Termination reason: Instruction limit
% 5.26/1.45 % (736410)Termination phase: Saturation
% 5.26/1.45 % (736410)Time elapsed: 0.014 s
% 5.26/1.45 % (736410)Peak memory usage: 89 MB
% 5.26/1.45 % (736410)Instructions burned: 28 (million)
% 5.26/1.45 % (736411)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1958924882:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 5.26/1.45 % (736411)Instruction limit reached!
% 5.26/1.45 % (736411)------------------------------
% 5.26/1.45 % (736411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736411)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736411)Termination reason: Instruction limit
% 5.26/1.45 % (736411)Termination phase: Saturation
% 5.26/1.45 % (736411)Time elapsed: 0.025 s
% 5.26/1.45 % (736411)Peak memory usage: 88 MB
% 5.26/1.45 % (736411)Instructions burned: 86 (million)
% 5.26/1.45 % (736415)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3166421551:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.26/1.45 % (736415)Instruction limit reached!
% 5.26/1.45 % (736415)------------------------------
% 5.26/1.45 % (736415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736415)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736415)Termination reason: Instruction limit
% 5.26/1.45 % (736415)Termination phase: Saturation
% 5.26/1.45 % (736415)Time elapsed: 0.003 s
% 5.26/1.45 % (736415)Peak memory usage: 89 MB
% 5.26/1.45 % (736415)Instructions burned: 3 (million)
% 5.26/1.45 % (736417)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1830592957:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.26/1.45 % (736416)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=771135303:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.26/1.45 % (736416)Refutation not found, incomplete strategy
% 5.26/1.45 % (736416)------------------------------
% 5.26/1.45 % (736416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736416)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736416)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.45 % (736416)Time elapsed: 0.002 s
% 5.26/1.45 % (736416)Peak memory usage: 89 MB
% 5.26/1.45 % (736416)Instructions burned: 1 (million)
% 5.26/1.45 % (736417)Instruction limit reached!
% 5.26/1.45 % (736417)------------------------------
% 5.26/1.45 % (736417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736417)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736417)Termination reason: Instruction limit
% 5.26/1.45 % (736417)Termination phase: Saturation
% 5.26/1.45 % (736417)Time elapsed: 0.004 s
% 5.26/1.45 % (736417)Peak memory usage: 88 MB
% 5.26/1.45 % (736417)Instructions burned: 5 (million)
% 5.26/1.45 % (736420)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1218947722:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.26/1.45 % (736421)lrs+10_1_thi=all:si=on:fd=off:random_seed=2009830356:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.26/1.45 % (736423)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1162235403:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.26/1.45 % (736423)Instruction limit reached!
% 5.26/1.45 % (736423)------------------------------
% 5.26/1.45 % (736423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736423)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736423)Termination reason: Instruction limit
% 5.26/1.45 % (736423)Termination phase: Saturation
% 5.26/1.45 % (736423)Time elapsed: 0.004 s
% 5.26/1.45 % (736423)Peak memory usage: 88 MB
% 5.26/1.45 % (736423)Instructions burned: 11 (million)
% 5.26/1.45 % (736425)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3845466550:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.26/1.45 % (736425)Instruction limit reached!
% 5.26/1.45 % (736425)------------------------------
% 5.26/1.45 % (736425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736425)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736425)Termination reason: Instruction limit
% 5.26/1.45 % (736425)Termination phase: Saturation
% 5.26/1.45 % (736408)------------------------------
% 5.26/1.45 % (736408)------------------------------
% 5.26/1.45 % (736425)Time elapsed: 0.002 s
% 5.26/1.45 % (736425)Peak memory usage: 90 MB
% 5.26/1.45 % (736425)Instructions burned: 3 (million)
% 5.26/1.45 % (736421)Instruction limit reached!
% 5.26/1.45 % (736421)------------------------------
% 5.26/1.45 % (736421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736421)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736421)Termination reason: Instruction limit
% 5.26/1.45 % (736421)Termination phase: Saturation
% 5.26/1.45 % (736421)Time elapsed: 0.061 s
% 5.26/1.45 % (736421)Peak memory usage: 116 MB
% 5.26/1.45 % (736421)Instructions burned: 54 (million)
% 5.26/1.45 % (736420)Instruction limit reached!
% 5.26/1.45 % (736420)------------------------------
% 5.26/1.45 % (736420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736420)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736420)Termination reason: Instruction limit
% 5.26/1.45 % (736420)Termination phase: Saturation
% 5.26/1.45 % (736420)Time elapsed: 0.089 s
% 5.26/1.45 % (736420)Peak memory usage: 134 MB
% 5.26/1.45 % (736420)Instructions burned: 67 (million)
% 5.26/1.45 % (736428)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=4155140817:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 5.26/1.45 % (736428)Instruction limit reached!
% 5.26/1.45 % (736428)------------------------------
% 5.26/1.45 % (736428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736428)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736428)Termination reason: Instruction limit
% 5.26/1.45 % (736428)Termination phase: Saturation
% 5.26/1.45 % (736428)Time elapsed: 0.003 s
% 5.26/1.45 % (736428)Peak memory usage: 89 MB
% 5.26/1.45 % (736428)Instructions burned: 3 (million)
% 5.26/1.45 % (736432)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=96034331:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 5.26/1.45 % (736432)First to succeed.
% 5.26/1.45 % (736432)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-736387"
% 5.26/1.45 % (736434)dis+10_1_si=on:random_seed=2819972888:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 5.26/1.45 % (736435)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=973037819:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 5.26/1.45 % (736436)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=551763736:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 5.26/1.45 % (736435)Refutation not found, incomplete strategy
% 5.26/1.45 % (736435)------------------------------
% 5.26/1.45 % (736435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736435)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736435)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.45 % (736435)Time elapsed: 0.002 s
% 5.26/1.45 % (736435)Peak memory usage: 89 MB
% 5.26/1.45 % (736435)Instructions burned: 1 (million)
% 5.26/1.45 % (736416)------------------------------
% 5.26/1.45 % (736416)------------------------------
% 5.26/1.45 % (736434)Instruction limit reached!
% 5.26/1.45 % (736434)------------------------------
% 5.26/1.45 % (736434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.45 % (736434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.45 % (736434)CaDiCaL version: 2.1.3
% 5.26/1.45 % (736434)Termination reason: Instruction limit
% 5.26/1.45 % (736434)Termination phase: Saturation
% 5.26/1.45 % (736434)Time elapsed: 0.006 s
% 5.26/1.45 % (736434)Peak memory usage: 88 MB
% 6.29/1.65 % (736434)Instructions burned: 10 (million)
% 6.29/1.65 % (736438)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=38826984:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 6.29/1.65 % (736438)Instruction limit reached!
% 6.29/1.65 % (736438)------------------------------
% 6.29/1.65 % (736438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.65 % (736438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.65 % (736438)CaDiCaL version: 2.1.3
% 6.29/1.65 % (736438)Termination reason: Instruction limit
% 6.29/1.65 % (736438)Termination phase: Saturation
% 6.29/1.65 % (736438)Time elapsed: 0.003 s
% 6.29/1.65 % (736438)Peak memory usage: 89 MB
% 6.29/1.65 % (736438)Instructions burned: 3 (million)
% 6.29/1.65 % (736439)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1498481050:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 6.29/1.65 % (736436)Instruction limit reached!
% 6.29/1.65 % (736436)------------------------------
% 6.29/1.65 % (736436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.65 % (736436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.65 % (736436)CaDiCaL version: 2.1.3
% 6.29/1.65 % (736436)Termination reason: Instruction limit
% 6.29/1.65 % (736436)Termination phase: Saturation
% 6.29/1.65 % (736436)Time elapsed: 0.028 s
% 6.29/1.65 % (736436)Peak memory usage: 89 MB
% 6.29/1.65 % (736436)Instructions burned: 35 (million)
% 6.29/1.65 % (736439)Instruction limit reached!
% 6.29/1.65 % (736439)------------------------------
% 6.29/1.65 % (736439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.65 % (736439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.65 % (736439)CaDiCaL version: 2.1.3
% 6.29/1.65 % (736439)Termination reason: Instruction limit
% 6.29/1.65 % (736439)Termination phase: Saturation
% 6.29/1.65 % (736439)Time elapsed: 0.007 s
% 6.29/1.65 % (736439)Peak memory usage: 89 MB
% 6.29/1.65 % (736439)Instructions burned: 8 (million)
% 6.29/1.65 % (736432)Refutation found. Thanks to Tanya!
% 6.29/1.65 % SZS status Theorem for theBenchmark
% 6.29/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 6.29/1.65 % (736432)------------------------------
% 6.29/1.65 % (736432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.65 % (736432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.65 % (736432)CaDiCaL version: 2.1.3
% 6.29/1.65 % (736432)Termination reason: Refutation
% 6.29/1.65 % (736432)Time elapsed: 0.034 s
% 6.29/1.65 % (736432)Peak memory usage: 117 MB
% 6.29/1.65 % (736432)Instructions burned: 48 (million)
% 6.29/1.65 % (736432)------------------------------
% 6.29/1.65 % (736432)------------------------------
% 6.29/1.65 % (736387)Success in time 0.801 s
% 6.29/1.65 % Vampire exiting
%------------------------------------------------------------------------------