%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI622_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 : n020.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 0.22s 1.70s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 2 unt; 0 typ; 1 def)
% Number of atoms : 153 ( 40 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 186 ( 60 ~; 77 |; 39 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 333 ( 46 atm; 83 fun; 142 num; 62 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 : 6 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 46 !; 16 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int > $int ).
tff(pred_def_1,type,
pow2: $int > $o ).
tff(pred_def_4,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(f1,conjecture,
( ! [X0: $int] :
( ( ( X0 = 1 )
| ( $lesseq(2,X0)
& ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) ) ) )
<=> pow2(X0) )
=> ? [X1: $int,X0: $int] :
( pow2(X0)
& ( $sum(X0,X1) = 10 )
& pow2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_of_pows_of_2_eq_10) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] :
( ( ( X0 = 1 )
| ( $lesseq(2,X0)
& ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) ) ) )
<=> pow2(X0) )
=> ? [X1: $int,X0: $int] :
( pow2(X0)
& ( $sum(X0,X1) = 10 )
& pow2(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( ~ $less(X0,2)
& ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) ) )
| ( X0 = 1 ) ) )
=> ? [X1: $int,X0: $int] :
( pow2(X0)
& ( $sum(X0,X1) = 10 )
& pow2(X1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( X0 = X1 )
| $less(X1,X0) ),
introduced(definition,[],[tha_order_totality]) ).
tff(f22,plain,
~ ( ! [X0: $int] :
( pow2(X0)
<=> ( ( ~ $less(X0,2)
& ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) ) )
| ( X0 = 1 ) ) )
=> ? [X2: $int,X3: $int] :
( pow2(X2)
& ( 10 = $sum(X3,X2) )
& pow2(X3) ) ),
inference(rectify,[],[f3]) ).
tff(f23,plain,
( ! [X2: $int,X3: $int] :
( ~ pow2(X3)
| ( 10 != $sum(X3,X2) )
| ~ pow2(X2) )
& ! [X0: $int] :
( pow2(X0)
<=> ( ( ~ $less(X0,2)
& ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) ) )
| ( X0 = 1 ) ) ) ),
inference(ennf_transformation,[],[f22]) ).
tff(f24,plain,
( ! [X2: $int,X3: $int] :
( ~ pow2(X3)
| ( 10 != $sum(X3,X2) )
| ~ pow2(X2) )
& ! [X0: $int] :
( ( pow2(X0)
| ( ( $less(X0,2)
| ! [X1: $int] :
( ( $product(2,X1) != X0 )
| ~ pow2(X1) ) )
& ( 1 != X0 ) ) )
& ( ( ~ $less(X0,2)
& ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) ) )
| ( X0 = 1 )
| ~ pow2(X0) ) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f25,plain,
( ! [X2: $int,X3: $int] :
( ~ pow2(X3)
| ( 10 != $sum(X3,X2) )
| ~ pow2(X2) )
& ! [X0: $int] :
( ( pow2(X0)
| ( ( $less(X0,2)
| ! [X1: $int] :
( ( $product(2,X1) != X0 )
| ~ pow2(X1) ) )
& ( 1 != X0 ) ) )
& ( ( ~ $less(X0,2)
& ? [X1: $int] :
( ( $product(2,X1) = X0 )
& pow2(X1) ) )
| ( X0 = 1 )
| ~ pow2(X0) ) ) ),
inference(flattening,[],[f24]) ).
tff(f26,plain,
( ! [X0: $int,X1: $int] :
( ~ pow2(X1)
| ( 10 != $sum(X1,X0) )
| ~ pow2(X0) )
& ! [X2: $int] :
( ( pow2(X2)
| ( ( $less(X2,2)
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ~ pow2(X3) ) )
& ( 1 != X2 ) ) )
& ( ( ~ $less(X2,2)
& ? [X4: $int] :
( ( $product(2,X4) = X2 )
& pow2(X4) ) )
| ( 1 = X2 )
| ~ pow2(X2) ) ) ),
inference(rectify,[],[f25]) ).
tff(f27,plain,
( ! [X0: $int,X1: $int] :
( ~ pow2(X1)
| ( 10 != $sum(X1,X0) )
| ~ pow2(X0) )
& ! [X2: $int] :
( ( pow2(X2)
| ( ( $less(X2,2)
| ! [X3: $int] :
( ( $product(2,X3) != X2 )
| ~ pow2(X3) ) )
& ( 1 != X2 ) ) )
& ( ( ~ $less(X2,2)
& ( $product(2,sK0(X2)) = X2 )
& pow2(sK0(X2)) )
| ( 1 = X2 )
| ~ pow2(X2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X2))],[f26]) ).
tff(f31,plain,
! [X2: $int] :
( pow2(X2)
| ( 1 != X2 ) ),
inference(cnf_transformation,[],[f27]) ).
tff(f32,plain,
! [X2: $int,X3: $int] :
( pow2(X2)
| $less(X2,2)
| ( $product(2,X3) != X2 )
| ~ pow2(X3) ),
inference(cnf_transformation,[],[f27]) ).
tff(f33,plain,
! [X0: $int,X1: $int] :
( ~ pow2(X1)
| ( 10 != $sum(X1,X0) )
| ~ pow2(X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f34,plain,
! [X3: $int] :
( pow2($product(2,X3))
| ~ pow2(X3)
| $less($product(2,X3),2) ),
inference(equality_resolution,[],[f32]) ).
tff(f35,plain,
pow2(1),
inference(equality_resolution,[],[f31]) ).
tff(f37,definition,
! [X0: $int,X1: $int] :
( sQ1_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ1_eqProxy])],[equality_proxy_definition]) ).
tff(f39,plain,
! [X0: $int,X1: $int] :
( ~ sQ1_eqProxy(10,$sum(X1,X0))
| ~ pow2(X0)
| ~ pow2(X1) ),
inference(equality_proxy_replacement,[],[f33,f37]) ).
tff(f50,plain,
! [X0: $int,X1: $int] :
( sQ1_eqProxy(X0,X1)
| $less(X0,X1)
| $less(X1,X0) ),
inference(equality_proxy_replacement,[],[f11,f37]) ).
tff(f65,plain,
! [X0: $int,X1: $int] :
( ~ pow2(X1)
| $less($sum(X0,X1),10)
| ~ pow2(X0)
| $less(10,$sum(X0,X1)) ),
inference(resolution,[],[f50,f39]) ).
tff(f67,plain,
! [X0: $int,X1: $int] :
( ~ pow2(X1)
| $less($sum(X0,$product(2,X1)),10)
| ~ pow2(X0)
| $less(10,$sum(X0,$product(2,X1)))
| $less($product(2,X1),2) ),
inference(resolution,[],[f65,f34]) ).
tff(f75,plain,
! [X0: $int] :
( ~ pow2(X0)
| $less(10,$sum(X0,$product(2,1)))
| $less($sum(X0,$product(2,1)),10)
| $less($product(2,1),2) ),
inference(resolution,[],[f67,f35]) ).
tff(f77,plain,
! [X0: $int] :
( ~ pow2(X0)
| $less($sum(X0,2),10)
| $less(10,$sum(X0,2)) ),
inference(evaluation,[],[f75]) ).
tff(f79,plain,
! [X0: $int] :
( ~ pow2(X0)
| $less(10,$sum($product(2,X0),2))
| $less($sum($product(2,X0),2),10)
| $less($product(2,X0),2) ),
inference(resolution,[],[f77,f34]) ).
tff(f81,plain,
! [X0: $int] :
( ~ pow2(X0)
| $less(10,$sum($product(2,$product(2,X0)),2))
| $less($product(2,$product(2,X0)),2)
| $less($product(2,X0),2)
| $less($sum($product(2,$product(2,X0)),2),10) ),
inference(resolution,[],[f79,f34]) ).
tff(f103,plain,
! [X0: $int] :
( ~ pow2(X0)
| $less($sum($product(2,$product(2,$product(2,X0))),2),10)
| $less($product(2,$product(2,$product(2,X0))),2)
| $less(10,$sum($product(2,$product(2,$product(2,X0))),2))
| $less($product(2,$product(2,X0)),2)
| $less($product(2,X0),2) ),
inference(resolution,[],[f81,f34]) ).
tff(f170,plain,
( $less($product(2,$product(2,1)),2)
| $less($product(2,$product(2,$product(2,1))),2)
| $less(10,$sum($product(2,$product(2,$product(2,1))),2))
| $less($sum($product(2,$product(2,$product(2,1))),2),10)
| $less($product(2,1),2) ),
inference(resolution,[],[f103,f35]) ).
tff(f172,plain,
$false,
inference(evaluation,[],[f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI622_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.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 : Mon Sep 28 20:54:49 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
% 3.59/1.28 % (544031)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.59/1.28 % (544144)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2852207788:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.59/1.28 % (544144)Instruction limit reached!
% 3.59/1.28 % (544144)------------------------------
% 3.59/1.28 % (544144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.28 % (544144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.28 % (544144)CaDiCaL version: 2.1.3
% 3.59/1.28 % (544144)Termination reason: Instruction limit
% 3.59/1.28 % (544144)Termination phase: Saturation
% 3.59/1.28 % (544144)Time elapsed: 0.020 s
% 3.59/1.28 % (544144)Peak memory usage: 115 MB
% 3.59/1.28 % (544144)Instructions burned: 15 (million)
% 3.59/1.28 % (544145)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=652266712:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.59/1.28 % (544147)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=259204901:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.59/1.28 % (544146)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=425214413:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.59/1.28 % (544148)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2594855704:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.59/1.28 % (544148)Instruction limit reached!
% 3.59/1.28 % (544148)------------------------------
% 3.59/1.28 % (544148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.28 % (544148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.28 % (544148)CaDiCaL version: 2.1.3
% 3.59/1.28 % (544148)Termination reason: Instruction limit
% 3.59/1.28 % (544148)Termination phase: Saturation
% 3.59/1.28 % (544148)Time elapsed: 0.004 s
% 3.59/1.28 % (544148)Peak memory usage: 88 MB
% 3.59/1.28 % (544148)Instructions burned: 5 (million)
% 3.59/1.28 % (544147)Instruction limit reached!
% 3.59/1.28 % (544147)------------------------------
% 3.59/1.28 % (544147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.28 % (544147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.28 % (544147)CaDiCaL version: 2.1.3
% 3.59/1.28 % (544147)Termination reason: Instruction limit
% 3.59/1.28 % (544147)Termination phase: Saturation
% 3.59/1.28 % (544147)Time elapsed: 0.006 s
% 3.59/1.28 % (544147)Peak memory usage: 88 MB
% 3.59/1.28 % (544147)Instructions burned: 8 (million)
% 3.59/1.28 % (544150)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3801871255:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.59/1.28 % (544149)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2017782982:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.59/1.28 % (544145)Refutation not found, incomplete strategy
% 3.59/1.28 % (544145)------------------------------
% 3.59/1.28 % (544145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.28 % (544145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.28 % (544145)CaDiCaL version: 2.1.3
% 3.59/1.28 % (544145)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.28 % (544145)Time elapsed: 0.030 s
% 3.59/1.28 % (544145)Peak memory usage: 114 MB
% 3.59/1.28 % (544145)Instructions burned: 6 (million)
% 3.59/1.28 % (544150)Instruction limit reached!
% 3.59/1.28 % (544150)------------------------------
% 3.59/1.28 % (544150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.28 % (544150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.28 % (544150)CaDiCaL version: 2.1.3
% 3.59/1.28 % (544150)Termination reason: Instruction limit
% 3.59/1.28 % (544150)Termination phase: Saturation
% 3.59/1.28 % (544150)Time elapsed: 0.046 s
% 3.59/1.28 % (544150)Peak memory usage: 115 MB
% 3.59/1.28 % (544150)Instructions burned: 33 (million)
% 3.59/1.28 % (544149)Instruction limit reached!
% 3.59/1.28 % (544149)------------------------------
% 3.59/1.28 % (544149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.28 % (544149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.28 % (544149)CaDiCaL version: 2.1.3
% 3.59/1.28 % (544149)Termination reason: Instruction limit
% 4.48/1.47 % (544149)Termination phase: Saturation
% 4.48/1.47 % (544149)Time elapsed: 0.054 s
% 4.48/1.47 % (544149)Peak memory usage: 115 MB
% 4.48/1.47 % (544149)Instructions burned: 47 (million)
% 4.48/1.47 % (544152)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=297261330:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.48/1.47 % (544152)Instruction limit reached!
% 4.48/1.47 % (544152)------------------------------
% 4.48/1.47 % (544152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.47 % (544152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.47 % (544152)CaDiCaL version: 2.1.3
% 4.48/1.47 % (544152)Termination reason: Instruction limit
% 4.48/1.47 % (544152)Termination phase: Saturation
% 4.48/1.47 % (544152)Time elapsed: 0.006 s
% 4.48/1.47 % (544152)Peak memory usage: 88 MB
% 4.48/1.47 % (544152)Instructions burned: 17 (million)
% 4.48/1.47 % (544157)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=562774492:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.48/1.47 % (544158)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3919422580:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.48/1.47 % (544158)Instruction limit reached!
% 4.48/1.47 % (544158)------------------------------
% 4.48/1.47 % (544158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.47 % (544158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.47 % (544158)CaDiCaL version: 2.1.3
% 4.48/1.47 % (544158)Termination reason: Instruction limit
% 4.48/1.47 % (544158)Termination phase: Saturation
% 4.48/1.47 % (544158)Time elapsed: 0.011 s
% 4.48/1.47 % (544158)Peak memory usage: 90 MB
% 4.48/1.47 % (544158)Instructions burned: 16 (million)
% 4.48/1.47 % (544146)Instruction limit reached!
% 4.48/1.47 % (544146)------------------------------
% 4.48/1.47 % (544146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.47 % (544146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.47 % (544146)CaDiCaL version: 2.1.3
% 4.48/1.47 % (544146)Termination reason: Instruction limit
% 4.48/1.47 % (544146)Termination phase: Saturation
% 4.48/1.47 % (544146)Time elapsed: 0.174 s
% 4.48/1.47 % (544146)Peak memory usage: 118 MB
% 4.48/1.47 % (544146)Instructions burned: 202 (million)
% 4.48/1.47 % (544157)Instruction limit reached!
% 4.48/1.47 % (544157)------------------------------
% 4.48/1.47 % (544157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.47 % (544157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.47 % (544157)CaDiCaL version: 2.1.3
% 4.48/1.47 % (544157)Termination reason: Instruction limit
% 4.48/1.47 % (544157)Termination phase: Saturation
% 4.48/1.47 % (544157)Time elapsed: 0.019 s
% 4.48/1.47 % (544157)Peak memory usage: 88 MB
% 4.48/1.47 % (544157)Instructions burned: 30 (million)
% 4.48/1.47 % (544162)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=1352742743:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.48/1.47 % (544161)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=33290553:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.48/1.47 % (544161)Instruction limit reached!
% 4.48/1.47 % (544161)------------------------------
% 4.48/1.47 % (544161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.47 % (544161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.47 % (544161)CaDiCaL version: 2.1.3
% 4.48/1.47 % (544161)Termination reason: Instruction limit
% 4.48/1.47 % (544161)Termination phase: Saturation
% 4.48/1.47 % (544161)Time elapsed: 0.018 s
% 4.48/1.47 % (544161)Peak memory usage: 89 MB
% 4.48/1.47 % (544161)Instructions burned: 25 (million)
% 4.48/1.47 % (544162)Instruction limit reached!
% 4.48/1.47 % (544162)------------------------------
% 4.48/1.47 % (544162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.47 % (544162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.47 % (544162)CaDiCaL version: 2.1.3
% 4.48/1.47 % (544162)Termination reason: Instruction limit
% 4.48/1.47 % (544162)Termination phase: Saturation
% 5.22/1.51 % (544162)Time elapsed: 0.019 s
% 5.22/1.51 % (544162)Peak memory usage: 89 MB
% 5.22/1.51 % (544162)Instructions burned: 29 (million)
% 5.22/1.51 % (544164)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2413584424:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 5.22/1.51 % (544145)------------------------------
% 5.22/1.51 % (544145)------------------------------
% 5.22/1.51 % (544164)Instruction limit reached!
% 5.22/1.51 % (544164)------------------------------
% 5.22/1.51 % (544164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.51 % (544164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.51 % (544164)CaDiCaL version: 2.1.3
% 5.22/1.51 % (544164)Termination reason: Instruction limit
% 5.22/1.51 % (544164)Termination phase: Saturation
% 5.22/1.51 % (544164)Time elapsed: 0.029 s
% 5.22/1.51 % (544164)Peak memory usage: 89 MB
% 5.22/1.51 % (544164)Instructions burned: 85 (million)
% 5.22/1.51 % (544169)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1415002757:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.22/1.51 % (544168)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3896692784:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.22/1.51 % (544167)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=353618242:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.22/1.51 % (544168)Refutation not found, incomplete strategy
% 5.22/1.51 % (544168)------------------------------
% 5.22/1.51 % (544168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.51 % (544168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.51 % (544168)CaDiCaL version: 2.1.3
% 5.22/1.51 % (544168)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.51 % (544168)Time elapsed: 0.003 s
% 5.22/1.51 % (544168)Peak memory usage: 89 MB
% 5.22/1.51 % (544168)Instructions burned: 1 (million)
% 5.22/1.51 % (544167)Instruction limit reached!
% 5.22/1.51 % (544167)------------------------------
% 5.22/1.51 % (544167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.51 % (544167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.51 % (544167)CaDiCaL version: 2.1.3
% 5.22/1.51 % (544167)Termination reason: Instruction limit
% 5.22/1.51 % (544167)Termination phase: Saturation
% 5.22/1.51 % (544167)Time elapsed: 0.003 s
% 5.22/1.51 % (544167)Peak memory usage: 88 MB
% 5.22/1.51 % (544167)Instructions burned: 3 (million)
% 5.22/1.51 % (544169)Instruction limit reached!
% 5.22/1.51 % (544169)------------------------------
% 5.22/1.51 % (544169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.51 % (544169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.51 % (544169)CaDiCaL version: 2.1.3
% 5.22/1.51 % (544169)Termination reason: Instruction limit
% 5.22/1.51 % (544169)Termination phase: Saturation
% 5.22/1.51 % (544169)Time elapsed: 0.004 s
% 5.22/1.51 % (544169)Peak memory usage: 88 MB
% 5.22/1.51 % (544169)Instructions burned: 5 (million)
% 5.22/1.51 % (544172)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1351067628:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 5.22/1.51 % (544174)lrs+10_1_thi=all:si=on:fd=off:random_seed=1858020748:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.22/1.51 % (544175)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=652799619:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.22/1.51 % (544175)Instruction limit reached!
% 5.22/1.51 % (544175)------------------------------
% 5.22/1.51 % (544175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.51 % (544175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.51 % (544175)CaDiCaL version: 2.1.3
% 5.22/1.51 % (544175)Termination reason: Instruction limit
% 5.22/1.51 % (544175)Termination phase: Saturation
% 5.22/1.51 % (544175)Time elapsed: 0.004 s
% 5.22/1.51 % (544175)Peak memory usage: 88 MB
% 5.22/1.51 % (544175)Instructions burned: 10 (million)
% 5.22/1.51 % (544176)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3811273371:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 0.22/1.70 % (544176)Instruction limit reached!
% 0.22/1.70 % (544176)------------------------------
% 0.22/1.70 % (544176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.70 % (544176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.70 % (544176)CaDiCaL version: 2.1.3
% 0.22/1.70 % (544176)Termination reason: Instruction limit
% 0.22/1.70 % (544176)Termination phase: Saturation
% 0.22/1.70 % (544176)Time elapsed: 0.003 s
% 0.22/1.70 % (544176)Peak memory usage: 90 MB
% 0.22/1.70 % (544176)Instructions burned: 3 (million)
% 0.22/1.70 % (544174)Instruction limit reached!
% 0.22/1.70 % (544174)------------------------------
% 0.22/1.70 % (544174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.70 % (544174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.70 % (544174)CaDiCaL version: 2.1.3
% 0.22/1.70 % (544174)Termination reason: Instruction limit
% 0.22/1.70 % (544174)Termination phase: Saturation
% 0.22/1.70 % (544174)Time elapsed: 0.065 s
% 0.22/1.70 % (544174)Peak memory usage: 117 MB
% 0.22/1.70 % (544174)Instructions burned: 54 (million)
% 0.22/1.70 % (544172)Instruction limit reached!
% 0.22/1.70 % (544172)------------------------------
% 0.22/1.70 % (544172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.70 % (544172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.70 % (544172)CaDiCaL version: 2.1.3
% 0.22/1.70 % (544172)Termination reason: Instruction limit
% 0.22/1.70 % (544172)Termination phase: Saturation
% 0.22/1.70 % (544172)Time elapsed: 0.092 s
% 0.22/1.70 % (544172)Peak memory usage: 133 MB
% 0.22/1.70 % (544172)Instructions burned: 67 (million)
% 0.22/1.70 % (544181)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3292127084:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 0.22/1.70 % (544180)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2752639712:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 0.22/1.70 % (544180)Instruction limit reached!
% 0.22/1.70 % (544180)------------------------------
% 0.22/1.70 % (544180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.70 % (544180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.70 % (544180)CaDiCaL version: 2.1.3
% 0.22/1.70 % (544180)Termination reason: Instruction limit
% 0.22/1.70 % (544180)Termination phase: Saturation
% 0.22/1.70 % (544180)Time elapsed: 0.003 s
% 0.22/1.70 % (544180)Peak memory usage: 89 MB
% 0.22/1.70 % (544180)Instructions burned: 2 (million)
% 0.22/1.70 % (544185)dis+10_1_si=on:random_seed=178380905:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 0.22/1.70 % (544185)First to succeed.
% 0.22/1.70 % (544185)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-544031"
% 0.22/1.70 % (544168)------------------------------
% 0.22/1.70 % (544168)------------------------------
% 0.22/1.70 % (544181)Also succeeded, but the first one will report.
% 0.22/1.70 % (544188)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2772986120: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_2993 on theBenchmark for (2993ds/35Mi)
% 0.22/1.70 % (544187)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4290194649:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 0.22/1.70 % (544187)Refutation not found, incomplete strategy
% 0.22/1.70 % (544187)------------------------------
% 0.22/1.70 % (544187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.70 % (544187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.70 % (544187)CaDiCaL version: 2.1.3
% 0.22/1.70 % (544187)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.70 % (544187)Time elapsed: 0.002 s
% 0.22/1.70 % (544187)Peak memory usage: 89 MB
% 0.22/1.70 % (544187)Instructions burned: 1 (million)
% 0.22/1.70 % (544188)Instruction limit reached!
% 0.22/1.70 % (544188)------------------------------
% 0.22/1.70 % (544188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.70 % (544188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.70 % (544188)CaDiCaL version: 2.1.3
% 0.22/1.70 % (544188)Termination reason: Instruction limit
% 0.22/1.70 % (544188)Termination phase: Saturation
% 0.22/1.70 % (544188)Time elapsed: 0.029 s
% 0.22/1.70 % (544188)Peak memory usage: 89 MB
% 0.22/1.70 % (544188)Instructions burned: 35 (million)
% 0.22/1.70 % (544189)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1528918194:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 0.22/1.70 % (544189)Instruction limit reached!
% 0.22/1.70 % (544189)------------------------------
% 0.22/1.70 % (544189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.70 % (544189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.70 % (544189)CaDiCaL version: 2.1.3
% 0.22/1.70 % (544189)Termination reason: Instruction limit
% 0.22/1.70 % (544189)Termination phase: Saturation
% 0.22/1.70 % (544189)Time elapsed: 0.003 s
% 0.22/1.70 % (544189)Peak memory usage: 89 MB
% 0.22/1.70 % (544189)Instructions burned: 2 (million)
% 0.22/1.70 % (544193)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3908378315:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 0.22/1.70 % (544185)Refutation found. Thanks to Tanya!
% 0.22/1.70 % SZS status Theorem for theBenchmark
% 0.22/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.70 % (544185)------------------------------
% 0.22/1.70 % (544185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.70 % (544185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.70 % (544185)CaDiCaL version: 2.1.3
% 0.22/1.70 % (544185)Termination reason: Refutation
% 0.22/1.70 % (544185)Time elapsed: 0.004 s
% 0.22/1.70 % (544185)Peak memory usage: 89 MB
% 0.22/1.70 % (544185)Instructions burned: 8 (million)
% 0.22/1.70 % (544185)------------------------------
% 0.22/1.70 % (544185)------------------------------
% 0.22/1.70 % (544031)Success in time 0.833 s
% 0.22/1.70 % Vampire exiting
%------------------------------------------------------------------------------