%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TIM028_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:33:33 PM UTC 2026
% Result : Theorem 0.27s 2.14s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 8 unt; 0 typ; 2 def)
% Number of atoms : 84 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 84 ( 35 ~; 32 |; 12 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 166 ( 20 atm; 10 fun; 102 num; 34 var)
% Number of types : 5 ( 3 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 15 usr; 3 prp; 0-9 aty)
% Number of functors : 18 ( 9 usr; 15 con; 0-5 aty)
% Number of variables : 34 ( 0 sgn 25 !; 9 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
date: $tType ).
tff(type_def_6,type,
time: $tType ).
tff(type_def_7,type,
day_name: $tType ).
tff(func_def_0,type,
ymd: ( $int * $int * $int ) > date ).
tff(func_def_1,type,
dt: ( $int * $int * $int * $int * $int ) > time ).
tff(func_def_2,type,
sunday: day_name ).
tff(func_def_3,type,
monday: day_name ).
tff(func_def_4,type,
tuesday: day_name ).
tff(func_def_5,type,
wednesday: day_name ).
tff(func_def_6,type,
thursday: day_name ).
tff(func_def_7,type,
friday: day_name ).
tff(func_def_8,type,
saturday: day_name ).
tff(pred_def_1,type,
is_leap_year: $int > $o ).
tff(pred_def_2,type,
is_days_in_month: ( $int * $int * $int ) > $o ).
tff(pred_def_3,type,
is_days_in_year: ( $int * $int ) > $o ).
tff(pred_def_4,type,
calc_date: ( $int * $int * $int * date ) > $o ).
tff(pred_def_5,type,
calc_datetime: ( $int * $int * $int * $int * $int * $int * $int * $int * time ) > $o ).
tff(pred_def_6,type,
normalize_time: ( $int * $int * $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_7,type,
weekday: ( date * day_name ) > $o ).
tff(pred_def_8,type,
zeller_prep: ( $int * $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_9,type,
map_iso: ( $int * day_name ) > $o ).
tff(pred_def_10,type,
map_name_to_int: ( day_name * $int ) > $o ).
tff(pred_def_11,type,
nth_weekday_date: ( $int * day_name * $int * $int * date ) > $o ).
tff(pred_def_12,type,
calc_nth_offset: ( $int * $int * $int ) > $o ).
tff(pred_def_13,type,
valid_day: $int > $o ).
tff(f1,axiom,
! [X0: $int] :
( ( $lesseq(X0,31)
& $greater(X0,0) )
<=> valid_day(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trap_ax) ).
tff(f15,axiom,
calc_date(0,3,2024,ymd(2024,2,29)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_boundary_leap_mar0) ).
tff(f88,conjecture,
? [X1: $int,X0: $int,X2: $int] :
( valid_day(X2)
& calc_date($sum(1,-1),3,2024,ymd(X0,X1,X2))
& ( X1 = 2 )
& ( X2 = 29 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_zero) ).
tff(f89,negated_conjecture,
~ ? [X1: $int,X0: $int,X2: $int] :
( valid_day(X2)
& calc_date($sum(1,-1),3,2024,ymd(X0,X1,X2))
& ( X1 = 2 )
& ( X2 = 29 ) ),
inference(negated_conjecture,[status(cth)],[f88]) ).
tff(f90,plain,
! [X0: $int] :
( valid_day(X0)
<=> ( ~ $less(31,X0)
& $less(0,X0) ) ),
inference(theory_normalization,[],[f1]) ).
tff(f125,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f160,plain,
~ ? [X2: $int,X0: $int,X1: $int] :
( valid_day(X2)
& ( 2 = X0 )
& calc_date($sum(1,-1),3,2024,ymd(X1,X0,X2))
& ( X2 = 29 ) ),
inference(rectify,[],[f89]) ).
tff(f169,plain,
! [X0: $int] :
( ( ~ $less(31,X0)
& $less(0,X0) )
=> valid_day(X0) ),
inference(unused_predicate_definition_removal,[],[f90]) ).
tff(f204,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ calc_date($sum(1,-1),3,2024,ymd(X1,X0,X2))
| ( 29 != X2 )
| ~ valid_day(X2)
| ( 2 != X0 ) ),
inference(ennf_transformation,[],[f160]) ).
tff(f219,plain,
! [X0: $int] :
( valid_day(X0)
| $less(31,X0)
| ~ $less(0,X0) ),
inference(ennf_transformation,[],[f169]) ).
tff(f220,plain,
! [X0: $int] :
( valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(flattening,[],[f219]) ).
tff(f255,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ calc_date($sum(1,-1),3,2024,ymd(X2,X1,X0))
| ( 29 != X0 )
| ~ valid_day(X0)
| ( 2 != X1 ) ),
inference(rectify,[],[f204]) ).
tff(f322,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ calc_date($sum(1,-1),3,2024,ymd(X2,X1,X0))
| ( 29 != X0 )
| ~ valid_day(X0)
| ( 2 != X1 ) ),
inference(cnf_transformation,[],[f255]) ).
tff(f339,plain,
! [X0: $int] :
( ~ $less(0,X0)
| valid_day(X0)
| $less(31,X0) ),
inference(cnf_transformation,[],[f220]) ).
tff(f342,plain,
calc_date(0,3,2024,ymd(2024,2,29)),
inference(cnf_transformation,[],[f15]) ).
tff(f378,plain,
! [X2: $int,X1: $int] :
( ~ calc_date($sum(1,-1),3,2024,ymd(X2,X1,29))
| ~ valid_day(29)
| ( 2 != X1 ) ),
inference(equality_resolution,[],[f322]) ).
tff(f379,plain,
! [X2: $int] :
( ~ calc_date($sum(1,-1),3,2024,ymd(X2,2,29))
| ~ valid_day(29) ),
inference(equality_resolution,[],[f378]) ).
tff(f389,plain,
! [X2: $int] :
( ~ calc_date(0,3,2024,ymd(X2,2,29))
| ~ valid_day(29) ),
inference(evaluation,[],[f379]) ).
tff(f413,definition,
( spl0_1
<=> valid_day(29) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f415,plain,
( ~ valid_day(29)
| spl0_1 ),
inference(avatar_component_clause,[],[f413]) ).
tff(f417,definition,
( spl0_2
<=> ! [X2: $int] : ~ calc_date(0,3,2024,ymd(X2,2,29)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f418,plain,
( ! [X2: $int] : ~ calc_date(0,3,2024,ymd(X2,2,29))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f417]) ).
tff(f419,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f389,f417,f413]) ).
tff(f461,plain,
! [X0: $int] :
( valid_day(X0)
| $less(31,X0)
| $less(X0,$sum(0,1)) ),
inference(resolution,[],[f339,f125]) ).
tff(f462,plain,
! [X0: $int] :
( valid_day(X0)
| $less(31,X0)
| $less(X0,1) ),
inference(evaluation,[],[f461]) ).
tff(f468,plain,
( $less(31,29)
| $less(29,1)
| spl0_1 ),
inference(resolution,[],[f462,f415]) ).
tff(f469,plain,
( $false
| spl0_1 ),
inference(evaluation,[],[f468]) ).
tff(f470,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f469]) ).
tff(f471,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f418,f342]) ).
tff(f472,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f471]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f419]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f470]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f472]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
tff(f473,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TIM028_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n004.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 18:47:37 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.29 Running first-order theorem proving
% 0.26/0.29 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
% 5.90/1.91 % (645748)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.90/1.91 % (645759)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=956902212:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.90/1.91 % (645759)Instruction limit reached!
% 5.90/1.91 % (645759)------------------------------
% 5.90/1.91 % (645759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.91 % (645759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.91 % (645759)CaDiCaL version: 2.1.3
% 5.90/1.91 % (645759)Termination reason: Instruction limit
% 5.90/1.91 % (645759)Termination phase: Property scanning
% 5.90/1.91 % (645759)Time elapsed: 0.003 s
% 5.90/1.91 % (645759)Peak memory usage: 86 MB
% 5.90/1.91 % (645759)Instructions burned: 5 (million)
% 5.90/1.91 % (645761)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1477348197:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.90/1.91 % (645756)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3676859080:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.90/1.91 % (645760)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2935676042:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.90/1.91 % (645758)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2610856237:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.90/1.91 % (645755)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=987009856:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.90/1.91 % (645757)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3280962588:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.90/1.91 % (645758)Instruction limit reached!
% 5.90/1.91 % (645758)------------------------------
% 5.90/1.91 % (645758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.91 % (645758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.91 % (645758)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645758)Termination reason: Instruction limit
% 5.90/1.92 % (645758)Termination phase: Saturation
% 5.90/1.92 % (645758)Time elapsed: 0.007 s
% 5.90/1.92 % (645758)Peak memory usage: 87 MB
% 5.90/1.92 % (645758)Instructions burned: 7 (million)
% 5.90/1.92 % (645761)Instruction limit reached!
% 5.90/1.92 % (645761)------------------------------
% 5.90/1.92 % (645761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.92 % (645761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.92 % (645761)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645761)Termination reason: Instruction limit
% 5.90/1.92 % (645761)Termination phase: Saturation
% 5.90/1.92 % (645761)Time elapsed: 0.063 s
% 5.90/1.92 % (645761)Peak memory usage: 116 MB
% 5.90/1.92 % (645761)Instructions burned: 33 (million)
% 5.90/1.92 % (645755)Instruction limit reached!
% 5.90/1.92 % (645755)------------------------------
% 5.90/1.92 % (645755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.92 % (645755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.92 % (645755)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645755)Termination reason: Instruction limit
% 5.90/1.92 % (645755)Termination phase: Saturation
% 5.90/1.92 % (645755)Time elapsed: 0.042 s
% 5.90/1.92 % (645755)Peak memory usage: 115 MB
% 5.90/1.92 % (645755)Instructions burned: 12 (million)
% 5.90/1.92 % (645760)Instruction limit reached!
% 5.90/1.92 % (645760)------------------------------
% 5.90/1.92 % (645760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.92 % (645760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.92 % (645760)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645760)Termination reason: Instruction limit
% 5.90/1.92 % (645760)Termination phase: Saturation
% 5.90/1.92 % (645760)Time elapsed: 0.075 s
% 5.90/1.92 % (645760)Peak memory usage: 115 MB
% 5.90/1.92 % (645760)Instructions burned: 46 (million)
% 5.90/1.92 % (645764)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1245116497:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.90/1.92 % (645764)Instruction limit reached!
% 5.90/1.92 % (645764)------------------------------
% 5.90/1.92 % (645764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.92 % (645764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.92 % (645764)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645764)Termination reason: Instruction limit
% 5.90/1.92 % (645764)Termination phase: Saturation
% 5.90/1.92 % (645764)Time elapsed: 0.008 s
% 5.90/1.92 % (645764)Peak memory usage: 89 MB
% 5.90/1.92 % (645764)Instructions burned: 15 (million)
% 5.90/1.92 % (645757)Instruction limit reached!
% 5.90/1.92 % (645757)------------------------------
% 5.90/1.92 % (645757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.92 % (645757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.92 % (645757)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645757)Termination reason: Instruction limit
% 5.90/1.92 % (645757)Termination phase: Saturation
% 5.90/1.92 % (645757)Time elapsed: 0.268 s
% 5.90/1.92 % (645757)Peak memory usage: 117 MB
% 5.90/1.92 % (645757)Instructions burned: 201 (million)
% 5.90/1.92 % (645770)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=2950321227:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.90/1.92 % (645771)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4019802043:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.90/1.92 % (645771)Instruction limit reached!
% 5.90/1.92 % (645771)------------------------------
% 5.90/1.92 % (645771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.92 % (645771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.92 % (645771)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645771)Termination reason: Instruction limit
% 5.90/1.92 % (645771)Termination phase: Saturation
% 5.90/1.92 % (645771)Time elapsed: 0.016 s
% 5.90/1.92 % (645771)Peak memory usage: 88 MB
% 5.90/1.92 % (645771)Instructions burned: 16 (million)
% 5.90/1.92 % (645770)Instruction limit reached!
% 5.90/1.92 % (645770)------------------------------
% 5.90/1.92 % (645770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.92 % (645770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.92 % (645770)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645770)Termination reason: Instruction limit
% 5.90/1.92 % (645770)Termination phase: Saturation
% 5.90/1.92 % (645770)Time elapsed: 0.031 s
% 5.90/1.92 % (645770)Peak memory usage: 89 MB
% 5.90/1.92 % (645770)Instructions burned: 29 (million)
% 5.90/1.92 % (645756)Instruction limit reached!
% 5.90/1.92 % (645756)------------------------------
% 5.90/1.92 % (645756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.92 % (645756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.92 % (645756)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645756)Termination reason: Instruction limit
% 5.90/1.92 % (645756)Termination phase: Saturation
% 5.90/1.92 % (645756)Time elapsed: 0.309 s
% 5.90/1.92 % (645756)Peak memory usage: 118 MB
% 5.90/1.92 % (645756)Instructions burned: 307 (million)
% 5.90/1.92 % (645772)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1123445752:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 5.90/1.92 % (645772)First to succeed.
% 5.90/1.92 % (645772)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-645748"
% 5.90/1.92 % (645773)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=1070444726:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 5.90/1.92 % (645773)Refutation not found, incomplete strategy
% 5.90/1.92 % (645773)------------------------------
% 5.90/1.92 % (645773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.92 % (645773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.92 % (645773)CaDiCaL version: 2.1.3
% 5.90/1.92 % (645773)Termination reason: Refutation not found, incomplete strategy
% 5.90/1.92 % (645773)Time elapsed: 0.012 s
% 5.90/1.92 % (645773)Peak memory usage: 89 MB
% 5.90/1.92 % (645773)Instructions burned: 11 (million)
% 5.90/1.92 % (645775)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=899782248:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 5.90/1.92 % (645775)Instruction limit reached!
% 5.90/1.92 % (645775)------------------------------
% 5.90/1.92 % (645775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/2.14 % (645775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/2.14 % (645775)CaDiCaL version: 2.1.3
% 0.27/2.14 % (645775)Termination reason: Instruction limit
% 0.27/2.14 % (645775)Termination phase: Saturation
% 0.27/2.14 % (645775)Time elapsed: 0.049 s
% 0.27/2.14 % (645775)Peak memory usage: 89 MB
% 0.27/2.14 % (645775)Instructions burned: 86 (million)
% 0.27/2.14 % (645778)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1433045818:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 0.27/2.14 % (645780)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3890556409:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 0.27/2.14 % (645778)Instruction limit reached!
% 0.27/2.14 % (645778)------------------------------
% 0.27/2.14 % (645778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/2.14 % (645778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/2.14 % (645778)CaDiCaL version: 2.1.3
% 0.27/2.14 % (645778)Termination reason: Instruction limit
% 0.27/2.14 % (645778)Termination phase: Property scanning
% 0.27/2.14 % (645778)Time elapsed: 0.002 s
% 0.27/2.14 % (645778)Peak memory usage: 85 MB
% 0.27/2.14 % (645778)Instructions burned: 2 (million)
% 0.27/2.14 % (645780)Instruction limit reached!
% 0.27/2.14 % (645780)------------------------------
% 0.27/2.14 % (645780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/2.14 % (645780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/2.14 % (645780)CaDiCaL version: 2.1.3
% 0.27/2.14 % (645780)Termination reason: Instruction limit
% 0.27/2.14 % (645780)Termination phase: Preprocessing 3
% 0.27/2.14 % (645780)Time elapsed: 0.005 s
% 0.27/2.14 % (645780)Peak memory usage: 85 MB
% 0.27/2.14 % (645780)Instructions burned: 4 (million)
% 0.27/2.14 % (645779)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=224574605:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 0.27/2.14 % (645782)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3222558555:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 0.27/2.14 % (645785)lrs+10_1_thi=all:si=on:fd=off:random_seed=1920157349:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 0.27/2.14 % (645779)Instruction limit reached!
% 0.27/2.14 % (645779)------------------------------
% 0.27/2.14 % (645779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/2.14 % (645779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/2.14 % (645779)CaDiCaL version: 2.1.3
% 0.27/2.14 % (645779)Termination reason: Instruction limit
% 0.27/2.14 % (645779)Termination phase: Saturation
% 0.27/2.14 % (645779)Time elapsed: 0.159 s
% 0.27/2.14 % (645779)Peak memory usage: 91 MB
% 0.27/2.14 % (645779)Instructions burned: 182 (million)
% 0.27/2.14 % (645782)Instruction limit reached!
% 0.27/2.14 % (645782)------------------------------
% 0.27/2.14 % (645782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/2.14 % (645782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/2.14 % (645782)CaDiCaL version: 2.1.3
% 0.27/2.14 % (645782)Termination reason: Instruction limit
% 0.27/2.14 % (645782)Termination phase: Saturation
% 0.27/2.14 % (645782)Time elapsed: 0.126 s
% 0.27/2.14 % (645782)Peak memory usage: 134 MB
% 0.27/2.14 % (645782)Instructions burned: 66 (million)
% 0.27/2.14 % (645789)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1454424677:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 0.27/2.14 % (645789)Instruction limit reached!
% 0.27/2.14 % (645789)------------------------------
% 0.27/2.14 % (645789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/2.14 % (645789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/2.14 % (645789)CaDiCaL version: 2.1.3
% 0.27/2.14 % (645789)Termination reason: Instruction limit
% 0.27/2.14 % (645789)Termination phase: Preprocessing 3
% 0.27/2.14 % (645789)Time elapsed: 0.002 s
% 0.27/2.14 % (645789)Peak memory usage: 85 MB
% 0.27/2.14 % (645789)Instructions burned: 3 (million)
% 0.27/2.14 % (645772)Refutation found. Thanks to Tanya!
% 0.27/2.14 % SZS status Theorem for theBenchmark
% 0.27/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/2.14 % (645772)------------------------------
% 0.27/2.14 % (645772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/2.14 % (645772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/2.14 % (645772)CaDiCaL version: 2.1.3
% 0.27/2.14 % (645772)Termination reason: Refutation
% 0.27/2.14 % (645772)Time elapsed: 0.020 s
% 0.27/2.14 % (645772)Peak memory usage: 91 MB
% 0.27/2.14 % (645772)Instructions burned: 16 (million)
% 0.27/2.14 % (645772)------------------------------
% 0.27/2.14 % (645772)------------------------------
% 0.27/2.14 % (645748)Success in time 1.007 s
% 0.27/2.14 % Vampire exiting
%------------------------------------------------------------------------------