%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TIM008_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 : n018.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 02:33:30 PM UTC 2026
% Result : Theorem 6.38s 1.73s
% Output : Refutation 6.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 93 ( 38 ~; 34 |; 15 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 191 ( 34 atm; 6 fun; 85 num; 66 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 : 18 ( 13 usr; 1 prp; 0-9 aty)
% Number of functors : 16 ( 9 usr; 13 con; 0-5 aty)
% Number of variables : 66 ( 57 !; 9 ?; 66 :)
% 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] :
( valid_day(X0)
<=> ( $lesseq(X0,31)
& $greater(X0,0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trap_ax) ).
tff(f37,axiom,
! [X0: $int] : is_days_in_month(1,X0,31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m1) ).
tff(f49,axiom,
! [X3: $int,X1: $int,X0: $int,X2: $int] :
( ( $greater(X0,0)
& $lesseq(X0,X3)
& is_days_in_month(X1,X2,X3) )
=> calc_date(X0,X1,X2,ymd(X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_base) ).
tff(f88,conjecture,
? [X0: $int,X2: $int,X1: $int] :
( ( X2 = 11 )
& calc_date($sum(1,10),1,2024,ymd(X0,X1,X2))
& valid_day(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_simple_add) ).
tff(f89,negated_conjecture,
~ ? [X0: $int,X2: $int,X1: $int] :
( ( X2 = 11 )
& calc_date($sum(1,10),1,2024,ymd(X0,X1,X2))
& valid_day(X2) ),
inference(negated_conjecture,[status(cth)],[f88]) ).
tff(f90,plain,
! [X0: $int] :
( ( $less(0,X0)
& ~ $less(31,X0) )
<=> valid_day(X0) ),
inference(theory_normalization,[],[f1]) ).
tff(f108,plain,
! [X3: $int,X1: $int,X0: $int,X2: $int] :
( ( $less(0,X0)
& ~ $less(X3,X0)
& is_days_in_month(X1,X2,X3) )
=> calc_date(X0,X1,X2,ymd(X2,X1,X0)) ),
inference(theory_normalization,[],[f49]) ).
tff(f158,plain,
! [X1: $int,X2: $int,X0: $int,X3: $int] :
( ( $less(0,X2)
& is_days_in_month(X1,X3,X0)
& ~ $less(X0,X2) )
=> calc_date(X2,X1,X3,ymd(X3,X1,X2)) ),
inference(rectify,[],[f108]) ).
tff(f163,plain,
~ ? [X0: $int,X2: $int,X1: $int] :
( valid_day(X1)
& calc_date($sum(1,10),1,2024,ymd(X0,X2,X1))
& ( 11 = X1 ) ),
inference(rectify,[],[f89]) ).
tff(f169,plain,
! [X0: $int] :
( ( $less(0,X0)
& ~ $less(31,X0) )
=> valid_day(X0) ),
inference(unused_predicate_definition_removal,[],[f90]) ).
tff(f210,plain,
! [X0: $int,X2: $int,X1: $int] :
( ~ calc_date($sum(1,10),1,2024,ymd(X0,X2,X1))
| ( 11 != X1 )
| ~ valid_day(X1) ),
inference(ennf_transformation,[],[f163]) ).
tff(f215,plain,
! [X1: $int,X2: $int,X0: $int,X3: $int] :
( calc_date(X2,X1,X3,ymd(X3,X1,X2))
| ~ $less(0,X2)
| ~ is_days_in_month(X1,X3,X0)
| $less(X0,X2) ),
inference(ennf_transformation,[],[f158]) ).
tff(f216,plain,
! [X1: $int,X2: $int,X3: $int,X0: $int] :
( ~ is_days_in_month(X1,X3,X0)
| calc_date(X2,X1,X3,ymd(X3,X1,X2))
| $less(X0,X2)
| ~ $less(0,X2) ),
inference(flattening,[],[f215]) ).
tff(f225,plain,
! [X0: $int] :
( valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(ennf_transformation,[],[f169]) ).
tff(f226,plain,
! [X0: $int] :
( ~ $less(0,X0)
| valid_day(X0)
| $less(31,X0) ),
inference(flattening,[],[f225]) ).
tff(f245,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ~ is_days_in_month(X0,X2,X3)
| calc_date(X1,X0,X2,ymd(X2,X0,X1))
| $less(X3,X1)
| ~ $less(0,X1) ),
inference(rectify,[],[f216]) ).
tff(f250,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ calc_date($sum(1,10),1,2024,ymd(X0,X1,X2))
| ( 11 != X2 )
| ~ valid_day(X2) ),
inference(rectify,[],[f210]) ).
tff(f269,plain,
! [X0: $int] : is_days_in_month(1,X0,31),
inference(cnf_transformation,[],[f37]) ).
tff(f306,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( calc_date(X1,X0,X2,ymd(X2,X0,X1))
| ~ is_days_in_month(X0,X2,X3)
| $less(X3,X1)
| ~ $less(0,X1) ),
inference(cnf_transformation,[],[f245]) ).
tff(f323,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ calc_date($sum(1,10),1,2024,ymd(X0,X1,X2))
| ~ valid_day(X2)
| ( 11 != X2 ) ),
inference(cnf_transformation,[],[f250]) ).
tff(f331,plain,
! [X0: $int] :
( valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(cnf_transformation,[],[f226]) ).
tff(f361,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ valid_day(X2)
| ~ calc_date(11,1,2024,ymd(X0,X1,X2))
| ( 11 != X2 ) ),
inference(evaluation,[],[f323]) ).
tff(f606,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( 11 != X0 )
| ~ $less(0,X0)
| ~ calc_date(11,1,2024,ymd(X1,X2,X0))
| $less(31,X0) ),
inference(resolution,[],[f331,f361]) ).
tff(f624,plain,
! [X0: $int,X1: $int] :
( ~ calc_date(11,1,2024,ymd(X0,X1,11))
| ~ $less(0,11)
| $less(31,11) ),
inference(equality_resolution,[],[f606]) ).
tff(f625,plain,
! [X0: $int,X1: $int] : ~ calc_date(11,1,2024,ymd(X0,X1,11)),
inference(evaluation,[],[f624]) ).
tff(f683,plain,
! [X0: $int] :
( ~ is_days_in_month(1,2024,X0)
| $less(X0,11)
| ~ $less(0,11) ),
inference(resolution,[],[f625,f306]) ).
tff(f685,plain,
! [X0: $int] :
( $less(X0,11)
| ~ is_days_in_month(1,2024,X0) ),
inference(evaluation,[],[f683]) ).
tff(f728,plain,
$less(31,11),
inference(unit_resulting_resolution,[],[f685,f269]) ).
tff(f739,plain,
$false,
inference(evaluation,[],[f728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TIM008_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n018.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 18:49:40 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
% 3.52/1.28 % (3661807)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.52/1.28 % (3661885)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1859155156:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.52/1.28 % (3661884)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4218176587:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.52/1.28 % (3661889)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4113781785:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.52/1.28 % (3661888)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1400927551:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.52/1.28 % (3661891)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3948932558:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.52/1.28 % (3661889)Instruction limit reached!
% 3.52/1.28 % (3661889)------------------------------
% 3.52/1.28 % (3661889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28 % (3661889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.28 % (3661889)CaDiCaL version: 2.1.3
% 3.52/1.28 % (3661889)Termination reason: Instruction limit
% 3.52/1.28 % (3661889)Termination phase: Property scanning
% 3.52/1.28 % (3661889)Time elapsed: 0.003 s
% 3.52/1.28 % (3661889)Peak memory usage: 85 MB
% 3.52/1.28 % (3661889)Instructions burned: 5 (million)
% 3.52/1.28 % (3661888)Instruction limit reached!
% 3.52/1.28 % (3661888)------------------------------
% 3.52/1.28 % (3661888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28 % (3661888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.28 % (3661888)CaDiCaL version: 2.1.3
% 3.52/1.28 % (3661888)Termination reason: Instruction limit
% 3.52/1.28 % (3661888)Termination phase: Saturation
% 3.52/1.28 % (3661888)Time elapsed: 0.004 s
% 3.52/1.28 % (3661888)Peak memory usage: 86 MB
% 3.52/1.28 % (3661888)Instructions burned: 7 (million)
% 3.52/1.28 % (3661892)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3931844072:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.52/1.28 % (3661884)Instruction limit reached!
% 3.52/1.28 % (3661884)------------------------------
% 3.52/1.28 % (3661884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28 % (3661884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.28 % (3661884)CaDiCaL version: 2.1.3
% 3.52/1.28 % (3661884)Termination reason: Instruction limit
% 3.52/1.28 % (3661884)Termination phase: Saturation
% 3.52/1.28 % (3661884)Time elapsed: 0.029 s
% 3.52/1.28 % (3661884)Peak memory usage: 115 MB
% 3.52/1.28 % (3661884)Instructions burned: 12 (million)
% 3.52/1.28 % (3661887)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3831145292:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.52/1.28 % (3661891)Instruction limit reached!
% 3.52/1.28 % (3661891)------------------------------
% 3.52/1.28 % (3661891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28 % (3661891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.28 % (3661891)CaDiCaL version: 2.1.3
% 3.52/1.28 % (3661891)Termination reason: Instruction limit
% 3.52/1.28 % (3661891)Termination phase: Saturation
% 3.52/1.28 % (3661891)Time elapsed: 0.055 s
% 3.52/1.28 % (3661891)Peak memory usage: 115 MB
% 3.52/1.28 % (3661891)Instructions burned: 47 (million)
% 3.52/1.28 % (3661892)Instruction limit reached!
% 3.52/1.28 % (3661892)------------------------------
% 3.52/1.28 % (3661892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28 % (3661892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.28 % (3661892)CaDiCaL version: 2.1.3
% 3.52/1.28 % (3661892)Termination reason: Instruction limit
% 3.52/1.28 % (3661892)Termination phase: Saturation
% 3.52/1.28 % (3661892)Time elapsed: 0.043 s
% 3.52/1.28 % (3661892)Peak memory usage: 116 MB
% 3.52/1.28 % (3661892)Instructions burned: 33 (million)
% 3.52/1.28 % (3661885)Instruction limit reached!
% 3.52/1.28 % (3661885)------------------------------
% 3.52/1.28 % (3661885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.28 % (3661885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.44 % (3661885)CaDiCaL version: 2.1.3
% 4.78/1.44 % (3661885)Termination reason: Instruction limit
% 4.78/1.44 % (3661885)Termination phase: Saturation
% 4.78/1.44 % (3661885)Time elapsed: 0.111 s
% 4.78/1.44 % (3661885)Peak memory usage: 118 MB
% 4.78/1.44 % (3661885)Instructions burned: 307 (million)
% 4.78/1.44 % (3661927)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=459298773:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.78/1.44 % (3661928)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=3664408696:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.78/1.44 % (3661927)Instruction limit reached!
% 4.78/1.44 % (3661927)------------------------------
% 4.78/1.44 % (3661927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.44 % (3661927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.44 % (3661927)CaDiCaL version: 2.1.3
% 4.78/1.44 % (3661927)Termination reason: Instruction limit
% 4.78/1.44 % (3661927)Termination phase: Saturation
% 4.78/1.44 % (3661927)Time elapsed: 0.010 s
% 4.78/1.44 % (3661927)Peak memory usage: 88 MB
% 4.78/1.44 % (3661927)Instructions burned: 15 (million)
% 4.78/1.44 % (3661928)Instruction limit reached!
% 4.78/1.44 % (3661928)------------------------------
% 4.78/1.44 % (3661928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.44 % (3661928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.44 % (3661928)CaDiCaL version: 2.1.3
% 4.78/1.44 % (3661928)Termination reason: Instruction limit
% 4.78/1.44 % (3661928)Termination phase: Saturation
% 4.78/1.44 % (3661928)Time elapsed: 0.021 s
% 4.78/1.44 % (3661928)Peak memory usage: 89 MB
% 4.78/1.44 % (3661928)Instructions burned: 29 (million)
% 4.78/1.44 % (3661947)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3756189210:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.78/1.44 % (3661944)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=1788320955:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.78/1.44 % (3661942)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3683458845:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.78/1.44 % (3661935)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=644784434:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.78/1.44 % (3661944)Refutation not found, incomplete strategy
% 4.78/1.44 % (3661944)------------------------------
% 4.78/1.44 % (3661944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.44 % (3661887)Instruction limit reached!
% 4.78/1.44 % (3661887)------------------------------
% 4.78/1.44 % (3661887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.44 % (3661887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.44 % (3661887)CaDiCaL version: 2.1.3
% 4.78/1.44 % (3661887)Termination reason: Instruction limit
% 4.78/1.44 % (3661887)Termination phase: Saturation
% 4.78/1.44 % (3661887)Time elapsed: 0.171 s
% 4.78/1.44 % (3661887)Peak memory usage: 117 MB
% 4.78/1.44 % (3661887)Instructions burned: 205 (million)
% 4.78/1.44 % (3661944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.44 % (3661944)CaDiCaL version: 2.1.3
% 4.78/1.44 % (3661944)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.44 % (3661944)Time elapsed: 0.007 s
% 4.78/1.44 % (3661944)Peak memory usage: 89 MB
% 4.78/1.44 % (3661944)Instructions burned: 11 (million)
% 4.78/1.44 % (3661942)Instruction limit reached!
% 4.78/1.44 % (3661942)------------------------------
% 4.78/1.44 % (3661942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.44 % (3661942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.44 % (3661942)CaDiCaL version: 2.1.3
% 4.78/1.44 % (3661942)Termination reason: Instruction limit
% 4.78/1.44 % (3661942)Termination phase: Saturation
% 4.78/1.44 % (3661942)Time elapsed: 0.020 s
% 4.78/1.44 % (3661942)Peak memory usage: 89 MB
% 4.78/1.44 % (3661942)Instructions burned: 28 (million)
% 4.78/1.44 % (3661935)Instruction limit reached!
% 4.78/1.44 % (3661935)------------------------------
% 4.78/1.44 % (3661935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661935)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661935)Termination reason: Instruction limit
% 4.78/1.49 % (3661935)Termination phase: Saturation
% 4.78/1.49 % (3661935)Time elapsed: 0.019 s
% 4.78/1.49 % (3661935)Peak memory usage: 88 MB
% 4.78/1.49 % (3661935)Instructions burned: 16 (million)
% 4.78/1.49 % (3661947)Instruction limit reached!
% 4.78/1.49 % (3661947)------------------------------
% 4.78/1.49 % (3661947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661947)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661947)Termination reason: Instruction limit
% 4.78/1.49 % (3661947)Termination phase: Saturation
% 4.78/1.49 % (3661947)Time elapsed: 0.029 s
% 4.78/1.49 % (3661947)Peak memory usage: 89 MB
% 4.78/1.49 % (3661947)Instructions burned: 88 (million)
% 4.78/1.49 % (3661964)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=576138921:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.78/1.49 % (3661972)lrs+10_1_thi=all:si=on:fd=off:random_seed=3311266411:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.78/1.49 % (3661964)Instruction limit reached!
% 4.78/1.49 % (3661964)------------------------------
% 4.78/1.49 % (3661964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661964)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661964)Termination reason: Instruction limit
% 4.78/1.49 % (3661964)Termination phase: Saturation
% 4.78/1.49 % (3661964)Time elapsed: 0.004 s
% 4.78/1.49 % (3661964)Peak memory usage: 86 MB
% 4.78/1.49 % (3661964)Instructions burned: 6 (million)
% 4.78/1.49 % (3661968)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=261262067:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.78/1.49 % (3661970)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3220790584:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.78/1.49 % (3661970)Instruction limit reached!
% 4.78/1.49 % (3661970)------------------------------
% 4.78/1.49 % (3661970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661970)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661970)Termination reason: Instruction limit
% 4.78/1.49 % (3661970)Termination phase: Property scanning
% 4.78/1.49 % (3661970)Time elapsed: 0.003 s
% 4.78/1.49 % (3661970)Peak memory usage: 86 MB
% 4.78/1.49 % (3661970)Instructions burned: 5 (million)
% 4.78/1.49 % (3661972)Instruction limit reached!
% 4.78/1.49 % (3661972)------------------------------
% 4.78/1.49 % (3661972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661972)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661972)Termination reason: Instruction limit
% 4.78/1.49 % (3661972)Termination phase: Saturation
% 4.78/1.49 % (3661972)Time elapsed: 0.035 s
% 4.78/1.49 % (3661972)Peak memory usage: 116 MB
% 4.78/1.49 % (3661972)Instructions burned: 55 (million)
% 4.78/1.49 % (3661971)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4089628140:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.78/1.49 % (3661968)Instruction limit reached!
% 4.78/1.49 % (3661968)------------------------------
% 4.78/1.49 % (3661968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661968)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661968)Termination reason: Instruction limit
% 4.78/1.49 % (3661968)Termination phase: Saturation
% 4.78/1.49 % (3661968)Time elapsed: 0.097 s
% 4.78/1.49 % (3661968)Peak memory usage: 91 MB
% 4.78/1.49 % (3661968)Instructions burned: 183 (million)
% 4.78/1.49 % (3661944)------------------------------
% 4.78/1.49 % (3661944)------------------------------
% 4.78/1.49 % (3661973)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=476489460:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 4.78/1.49 % (3661971)Instruction limit reached!
% 4.78/1.49 % (3661971)------------------------------
% 4.78/1.49 % (3661971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661971)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661971)Termination reason: Instruction limit
% 4.78/1.49 % (3661971)Termination phase: Saturation
% 4.78/1.49 % (3661971)Time elapsed: 0.086 s
% 4.78/1.49 % (3661971)Peak memory usage: 134 MB
% 4.78/1.49 % (3661971)Instructions burned: 66 (million)
% 4.78/1.49 % (3661973)Instruction limit reached!
% 4.78/1.49 % (3661973)------------------------------
% 4.78/1.49 % (3661973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661973)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661973)Termination reason: Instruction limit
% 4.78/1.49 % (3661973)Termination phase: Property scanning
% 4.78/1.49 % (3661973)Time elapsed: 0.008 s
% 4.78/1.49 % (3661973)Peak memory usage: 86 MB
% 4.78/1.49 % (3661973)Instructions burned: 8 (million)
% 4.78/1.49 % (3661981)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3195466816:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 4.78/1.49 % (3661976)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3363685877:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 4.78/1.49 % (3661976)Instruction limit reached!
% 4.78/1.49 % (3661976)------------------------------
% 4.78/1.49 % (3661976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661976)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661976)Termination reason: Instruction limit
% 4.78/1.49 % (3661976)Termination phase: Preprocessing 3
% 4.78/1.49 % (3661976)Time elapsed: 0.002 s
% 4.78/1.49 % (3661976)Peak memory usage: 85 MB
% 4.78/1.49 % (3661976)Instructions burned: 3 (million)
% 4.78/1.49 % (3661979)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2276814641:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 4.78/1.49 % (3661981)First to succeed.
% 4.78/1.49 % (3661981)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3661807"
% 4.78/1.49 % (3661979)Instruction limit reached!
% 4.78/1.49 % (3661979)------------------------------
% 4.78/1.49 % (3661979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661979)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661979)Termination reason: Instruction limit
% 4.78/1.49 % (3661979)Termination phase: Property scanning
% 4.78/1.49 % (3661979)Time elapsed: 0.004 s
% 4.78/1.49 % (3661979)Peak memory usage: 86 MB
% 4.78/1.49 % (3661979)Instructions burned: 6 (million)
% 4.78/1.49 % (3661983)dis+10_1_si=on:random_seed=4094946106:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 4.78/1.49 % (3661983)Instruction limit reached!
% 4.78/1.49 % (3661983)------------------------------
% 4.78/1.49 % (3661983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661983)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661983)Termination reason: Instruction limit
% 4.78/1.49 % (3661983)Termination phase: Saturation
% 4.78/1.49 % (3661983)Time elapsed: 0.006 s
% 4.78/1.49 % (3661983)Peak memory usage: 88 MB
% 4.78/1.49 % (3661983)Instructions burned: 10 (million)
% 4.78/1.49 % (3661984)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=808552054:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 4.78/1.49 % (3661984)Refutation not found, incomplete strategy
% 4.78/1.49 % (3661984)------------------------------
% 4.78/1.49 % (3661984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.49 % (3661984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.49 % (3661984)CaDiCaL version: 2.1.3
% 4.78/1.49 % (3661984)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.49 % (3661984)Time elapsed: 0.008 s
% 4.78/1.49 % (3661984)Peak memory usage: 88 MB
% 4.78/1.49 % (3661984)Instructions burned: 11 (million)
% 4.78/1.49 % (3661985)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2869582647: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)
% 6.38/1.73 % (3661986)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=546267287:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 6.38/1.73 % (3661986)Instruction limit reached!
% 6.38/1.73 % (3661986)------------------------------
% 6.38/1.73 % (3661986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.73 % (3661986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.73 % (3661986)CaDiCaL version: 2.1.3
% 6.38/1.73 % (3661986)Termination reason: Instruction limit
% 6.38/1.73 % (3661986)Termination phase: Property scanning
% 6.38/1.73 % (3661986)Time elapsed: 0.003 s
% 6.38/1.73 % (3661986)Peak memory usage: 86 MB
% 6.38/1.73 % (3661986)Instructions burned: 5 (million)
% 6.38/1.73 % (3661985)Instruction limit reached!
% 6.38/1.73 % (3661985)------------------------------
% 6.38/1.73 % (3661985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.73 % (3661985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.73 % (3661985)CaDiCaL version: 2.1.3
% 6.38/1.73 % (3661985)Termination reason: Instruction limit
% 6.38/1.73 % (3661985)Termination phase: Saturation
% 6.38/1.73 % (3661985)Time elapsed: 0.027 s
% 6.38/1.73 % (3661985)Peak memory usage: 89 MB
% 6.38/1.73 % (3661985)Instructions burned: 35 (million)
% 6.38/1.73 % (3661989)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2228643485:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 6.38/1.73 % (3661989)Instruction limit reached!
% 6.38/1.73 % (3661989)------------------------------
% 6.38/1.73 % (3661989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.73 % (3661989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.73 % (3661989)CaDiCaL version: 2.1.3
% 6.38/1.73 % (3661989)Termination reason: Instruction limit
% 6.38/1.73 % (3661989)Termination phase: Saturation
% 6.38/1.73 % (3661989)Time elapsed: 0.006 s
% 6.38/1.73 % (3661989)Peak memory usage: 88 MB
% 6.38/1.73 % (3661989)Instructions burned: 9 (million)
% 6.38/1.73 % (3661981)Refutation found. Thanks to Tanya!
% 6.38/1.73 % SZS status Theorem for theBenchmark
% 6.38/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 6.38/1.74 % (3661981)------------------------------
% 6.38/1.74 % (3661981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.74 % (3661981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.74 % (3661981)CaDiCaL version: 2.1.3
% 6.38/1.74 % (3661981)Termination reason: Refutation
% 6.38/1.74 % (3661981)Time elapsed: 0.028 s
% 6.38/1.74 % (3661981)Peak memory usage: 116 MB
% 6.38/1.74 % (3661981)Instructions burned: 36 (million)
% 6.38/1.74 % (3661981)------------------------------
% 6.38/1.74 % (3661981)------------------------------
% 6.38/1.74 % (3661807)Success in time 0.821 s
% 6.38/1.74 % Vampire exiting
%------------------------------------------------------------------------------