%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW581_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:30:51 PM UTC 2026
% Result : Theorem 4.04s 1.34s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 15 unt; 0 typ; 11 def)
% Number of atoms : 150 ( 41 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 152 ( 45 ~; 18 |; 58 &)
% ( 11 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 233 ( 83 atm; 44 fun; 65 num; 41 var)
% Number of types : 6 ( 4 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 : 27 ( 20 usr; 17 con; 0-4 aty)
% Number of variables : 41 ( 23 !; 18 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
fact: $int > $int ).
tff(func_def_15,type,
ref: ty > ty ).
tff(func_def_16,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_17,type,
contents: ( ty * uni ) > uni ).
tff(func_def_20,type,
sK0: $int ).
tff(func_def_21,type,
sK1: $int ).
tff(func_def_22,type,
sK2: $int ).
tff(func_def_23,type,
sK3: $int ).
tff(func_def_24,type,
sK4: $int ).
tff(func_def_25,type,
sK5: $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(f10,axiom,
! [X0: $int] :
( $lesseq(1,X0)
=> ( fact(X0) = $product(X0,fact($difference(X0,1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',factn) ).
tff(f15,conjecture,
! [X0: $int] :
( $lesseq(0,X0)
=> ! [X1: $int,X2: $int] :
( ( ( X1 = fact(X2) )
& $lesseq(X2,X0)
& $lesseq(0,X2) )
=> ( $less(X2,X0)
=> ! [X3: $int,X4: $int] :
( ( $lesseq(X3,$sum(X2,1))
& $lesseq(1,X3)
& ( X4 = $product(X3,fact(X2)) ) )
=> ( ~ $lesseq(X3,X2)
=> ! [X5: $int] :
( ( X5 = $sum(X2,1) )
=> ( ( X4 = fact(X5) )
& $lesseq(0,X5)
& $lesseq(X5,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_routine) ).
tff(f16,negated_conjecture,
~ ! [X0: $int] :
( $lesseq(0,X0)
=> ! [X1: $int,X2: $int] :
( ( ( X1 = fact(X2) )
& $lesseq(X2,X0)
& $lesseq(0,X2) )
=> ( $less(X2,X0)
=> ! [X3: $int,X4: $int] :
( ( $lesseq(X3,$sum(X2,1))
& $lesseq(1,X3)
& ( X4 = $product(X3,fact(X2)) ) )
=> ( ~ $lesseq(X3,X2)
=> ! [X5: $int] :
( ( X5 = $sum(X2,1) )
=> ( ( X4 = fact(X5) )
& $lesseq(0,X5)
& $lesseq(X5,X0) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f17,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ! [X1: $int,X2: $int] :
( ( ~ $less(X2,0)
& ( X1 = fact(X2) )
& ~ $less(X0,X2) )
=> ( $less(X2,X0)
=> ! [X4: $int,X3: $int] :
( ( ~ $less(X3,1)
& ~ $less($sum(X2,1),X3)
& ( X4 = $product(X3,fact(X2)) ) )
=> ( $less(X2,X3)
=> ! [X5: $int] :
( ( X5 = $sum(X2,1) )
=> ( ~ $less(X5,0)
& ~ $less(X0,X5)
& ( X4 = fact(X5) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f16]) ).
tff(f19,plain,
! [X0: $int] :
( ~ $less(X0,1)
=> ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f28,plain,
! [X0: $int] :
( $less(X0,1)
| ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) ) ),
inference(ennf_transformation,[],[f19]) ).
tff(f32,plain,
? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ? [X4: $int,X3: $int] :
( ? [X5: $int] :
( ( $less(X0,X5)
| ( fact(X5) != X4 )
| $less(X5,0) )
& ( X5 = $sum(X2,1) ) )
& $less(X2,X3)
& ~ $less(X3,1)
& ~ $less($sum(X2,1),X3)
& ( X4 = $product(X3,fact(X2)) ) )
& $less(X2,X0)
& ~ $less(X2,0)
& ( X1 = fact(X2) )
& ~ $less(X0,X2) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f17]) ).
tff(f33,plain,
? [X0: $int] :
( ~ $less(X0,0)
& ? [X2: $int,X1: $int] :
( $less(X2,X0)
& ~ $less(X2,0)
& ( X1 = fact(X2) )
& ~ $less(X0,X2)
& ? [X4: $int,X3: $int] :
( ( X4 = $product(X3,fact(X2)) )
& ~ $less($sum(X2,1),X3)
& ? [X5: $int] :
( ( $less(X0,X5)
| ( fact(X5) != X4 )
| $less(X5,0) )
& ( X5 = $sum(X2,1) ) )
& $less(X2,X3)
& ~ $less(X3,1) ) ) ),
inference(flattening,[],[f32]) ).
tff(f37,plain,
? [X0: $int] :
( ~ $less(X0,0)
& ? [X1: $int,X2: $int] :
( $less(X1,X0)
& ~ $less(X1,0)
& ( fact(X1) = X2 )
& ~ $less(X0,X1)
& ? [X3: $int,X4: $int] :
( ( $product(X4,fact(X1)) = X3 )
& ~ $less($sum(X1,1),X4)
& ? [X5: $int] :
( ( $less(X0,X5)
| ( fact(X5) != X3 )
| $less(X5,0) )
& ( $sum(X1,1) = X5 ) )
& $less(X1,X4)
& ~ $less(X4,1) ) ) ),
inference(rectify,[],[f33]) ).
tff(f38,plain,
( ~ $less(sK0,0)
& $less(sK1,sK0)
& ~ $less(sK1,0)
& ( fact(sK1) = sK2 )
& ~ $less(sK0,sK1)
& ( $product(sK4,fact(sK1)) = sK3 )
& ~ $less($sum(sK1,1),sK4)
& ( $less(sK0,sK5)
| ( sK3 != fact(sK5) )
| $less(sK5,0) )
& ( sK5 = $sum(sK1,1) )
& $less(sK1,sK4)
& ~ $less(sK4,1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f37]) ).
tff(f50,plain,
~ $less(sK4,1),
inference(cnf_transformation,[],[f38]) ).
tff(f51,plain,
$less(sK1,sK4),
inference(cnf_transformation,[],[f38]) ).
tff(f52,plain,
sK5 = $sum(sK1,1),
inference(cnf_transformation,[],[f38]) ).
tff(f53,plain,
( $less(sK5,0)
| $less(sK0,sK5)
| ( sK3 != fact(sK5) ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f54,plain,
~ $less($sum(sK1,1),sK4),
inference(cnf_transformation,[],[f38]) ).
tff(f55,plain,
$product(sK4,fact(sK1)) = sK3,
inference(cnf_transformation,[],[f38]) ).
tff(f58,plain,
~ $less(sK1,0),
inference(cnf_transformation,[],[f38]) ).
tff(f59,plain,
$less(sK1,sK0),
inference(cnf_transformation,[],[f38]) ).
tff(f62,plain,
! [X0: $int] :
( ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) )
| $less(X0,1) ),
inference(cnf_transformation,[],[f28]) ).
tff(f65,plain,
! [X0: $int] :
( $less(X0,1)
| ( fact(X0) = $product(X0,fact($sum(X0,-1))) ) ),
inference(evaluation,[],[f62]) ).
tff(f72,definition,
( spl6_2
<=> $less(sK5,0) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
tff(f76,definition,
( spl6_3
<=> ( sK3 = fact(sK5) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
tff(f80,definition,
( spl6_4
<=> $less(sK0,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
tff(f83,plain,
( spl6_2
| ~ spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f53,f80,f76,f72]) ).
tff(f85,definition,
( spl6_5
<=> $less(sK4,1) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
tff(f87,plain,
( ~ $less(sK4,1)
| spl6_5 ),
inference(avatar_component_clause,[],[f85]) ).
tff(f88,plain,
~ spl6_5,
inference(avatar_split_clause,[],[f50,f85]) ).
tff(f90,definition,
( spl6_6
<=> $less(sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
tff(f93,plain,
spl6_6,
inference(avatar_split_clause,[],[f51,f90]) ).
tff(f95,definition,
( spl6_7
<=> ( $product(sK4,fact(sK1)) = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
tff(f98,plain,
spl6_7,
inference(avatar_split_clause,[],[f55,f95]) ).
tff(f115,definition,
( spl6_11
<=> $less(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
tff(f118,plain,
spl6_11,
inference(avatar_split_clause,[],[f59,f115]) ).
tff(f120,definition,
( spl6_12
<=> ( sK5 = $sum(sK1,1) ) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
tff(f123,plain,
spl6_12,
inference(avatar_split_clause,[],[f52,f120]) ).
tff(f125,definition,
( spl6_13
<=> $less($sum(sK1,1),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
tff(f128,plain,
~ spl6_13,
inference(avatar_split_clause,[],[f54,f125]) ).
tff(f135,definition,
( spl6_15
<=> $less(sK1,0) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
tff(f138,plain,
~ spl6_15,
inference(avatar_split_clause,[],[f58,f135]) ).
tff(f211,plain,
( ( fact(sK4) = $product(sK4,fact($sum(sK4,-1))) )
| spl6_5 ),
inference(resolution,[],[f65,f87]) ).
tff(f213,definition,
( spl6_17
<=> ( fact(sK4) = $product(sK4,fact($sum(sK4,-1))) ) ),
introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition]) ).
tff(f216,plain,
( spl6_17
| spl6_5 ),
inference(avatar_split_clause,[],[f211,f85,f213]) ).
tff(f217,plain,
$false,
inference(avatar_smt_refutation,[],[f216,f138,f128,f123,f118,f98,f93,f88,f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW581_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 14:19:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.29/1.15 % (3995820)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.29/1.15 % (3995828)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1302343972:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.29/1.15 % (3995828)Instruction limit reached!
% 3.29/1.15 % (3995828)------------------------------
% 3.29/1.15 % (3995828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995828)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995828)Termination reason: Instruction limit
% 3.29/1.15 % (3995828)Termination phase: Saturation
% 3.29/1.15 % (3995828)Time elapsed: 0.003 s
% 3.29/1.15 % (3995828)Peak memory usage: 88 MB
% 3.29/1.15 % (3995828)Instructions burned: 7 (million)
% 3.29/1.15 % (3995825)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2955216998:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.29/1.15 % (3995831)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1953961034:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.29/1.15 % (3995830)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=121537375:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.29/1.15 % (3995829)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1171795920:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.29/1.15 % (3995826)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4167774327:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.29/1.15 % (3995827)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=288121944:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.29/1.15 % (3995829)Instruction limit reached!
% 3.29/1.15 % (3995829)------------------------------
% 3.29/1.15 % (3995829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995829)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995829)Termination reason: Instruction limit
% 3.29/1.15 % (3995829)Termination phase: Saturation
% 3.29/1.15 % (3995829)Time elapsed: 0.004 s
% 3.29/1.15 % (3995829)Peak memory usage: 88 MB
% 3.29/1.15 % (3995829)Instructions burned: 5 (million)
% 3.29/1.15 % (3995825)Instruction limit reached!
% 3.29/1.15 % (3995825)------------------------------
% 3.29/1.15 % (3995825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995825)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995825)Termination reason: Instruction limit
% 3.29/1.15 % (3995825)Termination phase: Saturation
% 3.29/1.15 % (3995825)Time elapsed: 0.031 s
% 3.29/1.15 % (3995825)Peak memory usage: 116 MB
% 3.29/1.15 % (3995825)Instructions burned: 12 (million)
% 3.29/1.15 % (3995830)First to succeed.
% 3.29/1.15 % (3995830)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3995820"
% 3.29/1.15 % (3995831)Instruction limit reached!
% 3.29/1.15 % (3995831)------------------------------
% 3.29/1.15 % (3995831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995831)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995831)Termination reason: Instruction limit
% 3.29/1.15 % (3995831)Termination phase: Saturation
% 3.29/1.15 % (3995831)Time elapsed: 0.048 s
% 3.29/1.15 % (3995831)Peak memory usage: 118 MB
% 3.29/1.15 % (3995831)Instructions burned: 34 (million)
% 3.29/1.15 % (3995833)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1771983572:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.29/1.15 % (3995833)Instruction limit reached!
% 3.29/1.15 % (3995833)------------------------------
% 3.29/1.15 % (3995833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995833)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995833)Termination reason: Instruction limit
% 3.29/1.15 % (3995833)Termination phase: Saturation
% 3.29/1.15 % (3995833)Time elapsed: 0.006 s
% 3.29/1.15 % (3995833)Peak memory usage: 88 MB
% 3.29/1.15 % (3995833)Instructions burned: 19 (million)
% 3.29/1.15 % (3995827)Instruction limit reached!
% 3.29/1.15 % (3995827)------------------------------
% 3.29/1.15 % (3995827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995827)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995827)Termination reason: Instruction limit
% 3.29/1.15 % (3995827)Termination phase: Saturation
% 3.29/1.15 % (3995827)Time elapsed: 0.114 s
% 3.29/1.15 % (3995827)Peak memory usage: 116 MB
% 3.29/1.15 % (3995827)Instructions burned: 202 (million)
% 3.29/1.15 % (3995840)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=2217526998:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.29/1.15 % (3995826)Instruction limit reached!
% 3.29/1.15 % (3995826)------------------------------
% 3.29/1.15 % (3995826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995826)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995826)Termination reason: Instruction limit
% 3.29/1.15 % (3995826)Termination phase: Saturation
% 3.29/1.15 % (3995826)Time elapsed: 0.170 s
% 3.29/1.15 % (3995826)Peak memory usage: 116 MB
% 3.29/1.15 % (3995826)Instructions burned: 307 (million)
% 3.29/1.15 % (3995841)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2352523253:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.29/1.15 % (3995840)Instruction limit reached!
% 3.29/1.15 % (3995840)------------------------------
% 3.29/1.15 % (3995840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995840)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995840)Termination reason: Instruction limit
% 3.29/1.15 % (3995840)Termination phase: Saturation
% 3.29/1.15 % (3995840)Time elapsed: 0.022 s
% 3.29/1.15 % (3995840)Peak memory usage: 88 MB
% 3.29/1.15 % (3995840)Instructions burned: 30 (million)
% 3.29/1.15 % (3995844)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=4044191615:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.29/1.15 % (3995842)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1931059131:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.29/1.15 % (3995841)Instruction limit reached!
% 3.29/1.15 % (3995841)------------------------------
% 3.29/1.15 % (3995841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995841)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995841)Termination reason: Instruction limit
% 3.29/1.15 % (3995841)Termination phase: Saturation
% 3.29/1.15 % (3995841)Time elapsed: 0.012 s
% 3.29/1.15 % (3995841)Peak memory usage: 90 MB
% 3.29/1.15 % (3995841)Instructions burned: 17 (million)
% 3.29/1.15 % (3995844)Instruction limit reached!
% 3.29/1.15 % (3995844)------------------------------
% 3.29/1.15 % (3995844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995844)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995844)Termination reason: Instruction limit
% 3.29/1.15 % (3995844)Termination phase: Saturation
% 3.29/1.15 % (3995844)Time elapsed: 0.010 s
% 3.29/1.15 % (3995844)Peak memory usage: 89 MB
% 3.29/1.15 % (3995844)Instructions burned: 28 (million)
% 3.29/1.15 % (3995842)Instruction limit reached!
% 3.29/1.15 % (3995842)------------------------------
% 3.29/1.15 % (3995842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.15 % (3995842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.15 % (3995842)CaDiCaL version: 2.1.3
% 3.29/1.15 % (3995842)Termination reason: Instruction limit
% 3.29/1.15 % (3995842)Termination phase: Saturation
% 3.29/1.15 % (3995842)Time elapsed: 0.019 s
% 3.29/1.15 % (3995842)Peak memory usage: 89 MB
% 3.29/1.15 % (3995842)Instructions burned: 24 (million)
% 3.29/1.15 % (3995845)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=749006350:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.04/1.34 % (3995830)Refutation found. Thanks to Tanya!
% 4.04/1.34 % SZS status Theorem for theBenchmark
% 4.04/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.35 % (3995830)------------------------------
% 4.04/1.35 % (3995830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.35 % (3995830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.35 % (3995830)CaDiCaL version: 2.1.3
% 4.04/1.35 % (3995830)Termination reason: Refutation
% 4.04/1.35 % (3995830)Time elapsed: 0.047 s
% 4.04/1.35 % (3995830)Peak memory usage: 118 MB
% 4.04/1.35 % (3995830)Instructions burned: 26 (million)
% 4.04/1.35 % (3995830)------------------------------
% 4.04/1.35 % (3995830)------------------------------
% 4.04/1.35 % (3995820)Success in time 0.481 s
% 4.04/1.35 % Vampire exiting
%------------------------------------------------------------------------------