%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TIM011_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 02:33:31 PM UTC 2026
% Result : Theorem 7.73s 1.58s
% Output : Refutation 7.73s
% 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 : 17 ( 9 usr; 14 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] :
( ( $lesseq(X0,31)
& $greater(X0,0) )
<=> valid_day(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trap_ax) ).
tff(f37,axiom,
! [X0: $int] : is_days_in_month(1,X0,31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m1) ).
tff(f49,axiom,
! [X1: $int,X0: $int,X3: $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/sandbox2/benchmark/theBenchmark.p',rule_base) ).
tff(f88,conjecture,
? [X1: $int,X0: $int,X2: $int] :
( ( X2 = 5 )
& valid_day(X2)
& calc_date($sum(10,-5),1,2024,ymd(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_simple_sub) ).
tff(f89,negated_conjecture,
~ ? [X1: $int,X0: $int,X2: $int] :
( ( X2 = 5 )
& valid_day(X2)
& calc_date($sum(10,-5),1,2024,ymd(X0,X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f88]) ).
tff(f93,plain,
! [X1: $int,X0: $int,X3: $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(f98,plain,
! [X0: $int] :
( valid_day(X0)
<=> ( $less(0,X0)
& ~ $less(31,X0) ) ),
inference(theory_normalization,[],[f1]) ).
tff(f142,plain,
~ ? [X2: $int,X0: $int,X1: $int] :
( ( X2 = 5 )
& valid_day(X2)
& calc_date($sum(10,-5),1,2024,ymd(X1,X0,X2)) ),
inference(rectify,[],[f89]) ).
tff(f145,plain,
! [X3: $int,X1: $int,X2: $int,X0: $int] :
( ( is_days_in_month(X0,X3,X2)
& ~ $less(X2,X1)
& $less(0,X1) )
=> calc_date(X1,X0,X3,ymd(X3,X0,X1)) ),
inference(rectify,[],[f93]) ).
tff(f167,plain,
! [X0: $int] :
( ( $less(0,X0)
& ~ $less(31,X0) )
=> valid_day(X0) ),
inference(unused_predicate_definition_removal,[],[f98]) ).
tff(f195,plain,
! [X1: $int,X0: $int,X2: $int] :
( ( 5 != X2 )
| ~ valid_day(X2)
| ~ calc_date($sum(10,-5),1,2024,ymd(X1,X0,X2)) ),
inference(ennf_transformation,[],[f142]) ).
tff(f212,plain,
! [X3: $int,X1: $int,X2: $int,X0: $int] :
( calc_date(X1,X0,X3,ymd(X3,X0,X1))
| ~ is_days_in_month(X0,X3,X2)
| $less(X2,X1)
| ~ $less(0,X1) ),
inference(ennf_transformation,[],[f145]) ).
tff(f213,plain,
! [X3: $int,X0: $int,X2: $int,X1: $int] :
( $less(X2,X1)
| ~ is_days_in_month(X0,X3,X2)
| calc_date(X1,X0,X3,ymd(X3,X0,X1))
| ~ $less(0,X1) ),
inference(flattening,[],[f212]) ).
tff(f216,plain,
! [X0: $int] :
( valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(ennf_transformation,[],[f167]) ).
tff(f217,plain,
! [X0: $int] :
( valid_day(X0)
| ~ $less(0,X0)
| $less(31,X0) ),
inference(flattening,[],[f216]) ).
tff(f248,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( 5 != X2 )
| ~ valid_day(X2)
| ~ calc_date($sum(10,-5),1,2024,ymd(X0,X1,X2)) ),
inference(rectify,[],[f195]) ).
tff(f253,plain,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( $less(X2,X3)
| ~ is_days_in_month(X1,X0,X2)
| calc_date(X3,X1,X0,ymd(X0,X1,X3))
| ~ $less(0,X3) ),
inference(rectify,[],[f213]) ).
tff(f313,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ valid_day(X2)
| ~ calc_date($sum(10,-5),1,2024,ymd(X0,X1,X2))
| ( 5 != X2 ) ),
inference(cnf_transformation,[],[f248]) ).
tff(f318,plain,
! [X0: $int] : is_days_in_month(1,X0,31),
inference(cnf_transformation,[],[f37]) ).
tff(f332,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( calc_date(X3,X1,X0,ymd(X0,X1,X3))
| ~ $less(0,X3)
| ~ is_days_in_month(X1,X0,X2)
| $less(X2,X3) ),
inference(cnf_transformation,[],[f253]) ).
tff(f341,plain,
! [X0: $int] :
( valid_day(X0)
| $less(31,X0)
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f217]) ).
tff(f364,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ valid_day(X2)
| ~ calc_date(5,1,2024,ymd(X0,X1,X2))
| ( 5 != X2 ) ),
inference(evaluation,[],[f313]) ).
tff(f604,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( 5 != X0 )
| $less(31,X0)
| ~ calc_date(5,1,2024,ymd(X1,X2,X0))
| ~ $less(0,X0) ),
inference(resolution,[],[f341,f364]) ).
tff(f622,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,5)
| $less(31,5)
| ~ calc_date(5,1,2024,ymd(X0,X1,5)) ),
inference(equality_resolution,[],[f604]) ).
tff(f623,plain,
! [X0: $int,X1: $int] : ~ calc_date(5,1,2024,ymd(X0,X1,5)),
inference(evaluation,[],[f622]) ).
tff(f681,plain,
! [X0: $int] :
( ~ is_days_in_month(1,2024,X0)
| $less(X0,5)
| ~ $less(0,5) ),
inference(resolution,[],[f623,f332]) ).
tff(f683,plain,
! [X0: $int] :
( $less(X0,5)
| ~ is_days_in_month(1,2024,X0) ),
inference(evaluation,[],[f681]) ).
tff(f726,plain,
$less(31,5),
inference(unit_resulting_resolution,[],[f683,f318]) ).
tff(f738,plain,
$false,
inference(evaluation,[],[f726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : TIM011_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 18:47:04 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 4.46/1.04 % (3632804)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.46/1.04 % (3632819)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1207524218:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.46/1.04 % (3632817)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3904340147:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.46/1.04 % (3632818)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=45526154:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.46/1.04 % (3632817)Instruction limit reached!
% 4.46/1.04 % (3632817)------------------------------
% 4.46/1.04 % (3632817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.04 % (3632817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.04 % (3632817)CaDiCaL version: 2.1.3
% 4.46/1.04 % (3632817)Termination reason: Instruction limit
% 4.46/1.04 % (3632817)Termination phase: Saturation
% 4.46/1.04 % (3632817)Time elapsed: 0.026 s
% 4.46/1.04 % (3632817)Peak memory usage: 115 MB
% 4.46/1.04 % (3632817)Instructions burned: 13 (million)
% 4.46/1.04 % (3632820)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3421071598:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.46/1.04 % (3632823)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3654103742:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.46/1.04 % (3632822)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3663768659:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.46/1.04 % (3632821)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=659728677:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.46/1.04 % (3632821)Instruction limit reached!
% 4.46/1.04 % (3632821)------------------------------
% 4.46/1.04 % (3632821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.04 % (3632821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.04 % (3632821)CaDiCaL version: 2.1.3
% 4.46/1.04 % (3632821)Termination reason: Instruction limit
% 4.46/1.04 % (3632821)Termination phase: Property scanning
% 4.46/1.04 % (3632821)Time elapsed: 0.002 s
% 4.46/1.04 % (3632821)Peak memory usage: 85 MB
% 4.46/1.04 % (3632821)Instructions burned: 4 (million)
% 4.46/1.04 % (3632820)Instruction limit reached!
% 4.46/1.04 % (3632820)------------------------------
% 4.46/1.04 % (3632820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.04 % (3632820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.04 % (3632820)CaDiCaL version: 2.1.3
% 4.46/1.04 % (3632820)Termination reason: Instruction limit
% 4.46/1.04 % (3632820)Termination phase: Saturation
% 4.46/1.04 % (3632820)Time elapsed: 0.003 s
% 4.46/1.04 % (3632820)Peak memory usage: 86 MB
% 4.46/1.04 % (3632820)Instructions burned: 7 (million)
% 4.46/1.04 % (3632823)Instruction limit reached!
% 4.46/1.04 % (3632823)------------------------------
% 4.46/1.04 % (3632823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.04 % (3632823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.04 % (3632823)CaDiCaL version: 2.1.3
% 4.46/1.04 % (3632823)Termination reason: Instruction limit
% 4.46/1.04 % (3632823)Termination phase: Saturation
% 4.46/1.04 % (3632823)Time elapsed: 0.032 s
% 4.46/1.04 % (3632823)Peak memory usage: 116 MB
% 4.46/1.04 % (3632823)Instructions burned: 33 (million)
% 4.46/1.04 % (3632822)Instruction limit reached!
% 4.46/1.04 % (3632822)------------------------------
% 4.46/1.04 % (3632822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.04 % (3632822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.04 % (3632822)CaDiCaL version: 2.1.3
% 4.46/1.04 % (3632822)Termination reason: Instruction limit
% 4.46/1.04 % (3632822)Termination phase: Saturation
% 4.46/1.04 % (3632822)Time elapsed: 0.041 s
% 4.46/1.04 % (3632822)Peak memory usage: 115 MB
% 4.46/1.04 % (3632822)Instructions burned: 46 (million)
% 4.46/1.04 % (3632819)Instruction limit reached!
% 4.46/1.04 % (3632819)------------------------------
% 4.46/1.04 % (3632819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.04 % (3632819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.20 % (3632819)CaDiCaL version: 2.1.3
% 5.30/1.20 % (3632819)Termination reason: Instruction limit
% 5.30/1.20 % (3632819)Termination phase: Saturation
% 5.30/1.20 % (3632819)Time elapsed: 0.144 s
% 5.30/1.20 % (3632819)Peak memory usage: 118 MB
% 5.30/1.20 % (3632819)Instructions burned: 202 (million)
% 5.30/1.20 % (3632818)Instruction limit reached!
% 5.30/1.20 % (3632818)------------------------------
% 5.30/1.20 % (3632818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.20 % (3632818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.20 % (3632818)CaDiCaL version: 2.1.3
% 5.30/1.20 % (3632818)Termination reason: Instruction limit
% 5.30/1.20 % (3632818)Termination phase: Saturation
% 5.30/1.20 % (3632818)Time elapsed: 0.164 s
% 5.30/1.20 % (3632818)Peak memory usage: 117 MB
% 5.30/1.20 % (3632818)Instructions burned: 308 (million)
% 5.30/1.20 % (3632846)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=3864431110:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.30/1.20 % (3632846)Instruction limit reached!
% 5.30/1.20 % (3632846)------------------------------
% 5.30/1.20 % (3632846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.20 % (3632846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.20 % (3632846)CaDiCaL version: 2.1.3
% 5.30/1.20 % (3632846)Termination reason: Instruction limit
% 5.30/1.20 % (3632846)Termination phase: Saturation
% 5.30/1.20 % (3632846)Time elapsed: 0.012 s
% 5.30/1.20 % (3632846)Peak memory usage: 89 MB
% 5.30/1.20 % (3632846)Instructions burned: 30 (million)
% 5.30/1.20 % (3632847)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3609450485:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.30/1.20 % (3632840)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=518873644:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.30/1.20 % (3632840)Instruction limit reached!
% 5.30/1.20 % (3632840)------------------------------
% 5.30/1.20 % (3632840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.20 % (3632840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.20 % (3632840)CaDiCaL version: 2.1.3
% 5.30/1.20 % (3632840)Termination reason: Instruction limit
% 5.30/1.20 % (3632840)Termination phase: Saturation
% 5.30/1.20 % (3632840)Time elapsed: 0.008 s
% 5.30/1.20 % (3632840)Peak memory usage: 88 MB
% 5.30/1.20 % (3632840)Instructions burned: 14 (million)
% 5.30/1.20 % (3632847)Instruction limit reached!
% 5.30/1.20 % (3632847)------------------------------
% 5.30/1.20 % (3632847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.20 % (3632847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.20 % (3632847)CaDiCaL version: 2.1.3
% 5.30/1.20 % (3632847)Termination reason: Instruction limit
% 5.30/1.20 % (3632847)Termination phase: Saturation
% 5.30/1.20 % (3632847)Time elapsed: 0.010 s
% 5.30/1.20 % (3632847)Peak memory usage: 88 MB
% 5.30/1.20 % (3632847)Instructions burned: 18 (million)
% 5.30/1.20 % (3632852)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3245010640:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 5.30/1.20 % (3632854)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=3466305481:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 5.30/1.20 % (3632854)Refutation not found, incomplete strategy
% 5.30/1.20 % (3632854)------------------------------
% 5.30/1.20 % (3632854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.20 % (3632854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.20 % (3632854)CaDiCaL version: 2.1.3
% 5.30/1.20 % (3632854)Termination reason: Refutation not found, incomplete strategy
% 5.30/1.20 % (3632854)Time elapsed: 0.006 s
% 5.30/1.20 % (3632854)Peak memory usage: 89 MB
% 5.30/1.20 % (3632854)Instructions burned: 11 (million)
% 5.30/1.20 % (3632852)Instruction limit reached!
% 5.30/1.20 % (3632852)------------------------------
% 5.30/1.20 % (3632852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.20 % (3632852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.39 % (3632852)CaDiCaL version: 2.1.3
% 5.95/1.39 % (3632852)Termination reason: Instruction limit
% 5.95/1.39 % (3632852)Termination phase: Saturation
% 5.95/1.39 % (3632852)Time elapsed: 0.016 s
% 5.95/1.39 % (3632852)Peak memory usage: 89 MB
% 5.95/1.39 % (3632852)Instructions burned: 25 (million)
% 5.95/1.39 % (3632859)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3804468377:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.95/1.39 % (3632866)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1623608317:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.95/1.39 % (3632860)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2103059325:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.95/1.39 % (3632860)Instruction limit reached!
% 5.95/1.39 % (3632860)------------------------------
% 5.95/1.39 % (3632860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.39 % (3632860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.39 % (3632860)CaDiCaL version: 2.1.3
% 5.95/1.39 % (3632860)Termination reason: Instruction limit
% 5.95/1.39 % (3632860)Termination phase: Saturation
% 5.95/1.39 % (3632860)Time elapsed: 0.003 s
% 5.95/1.39 % (3632860)Peak memory usage: 88 MB
% 5.95/1.39 % (3632860)Instructions burned: 8 (million)
% 5.95/1.39 % (3632859)Instruction limit reached!
% 5.95/1.39 % (3632859)------------------------------
% 5.95/1.39 % (3632859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.39 % (3632859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.39 % (3632859)CaDiCaL version: 2.1.3
% 5.95/1.39 % (3632859)Termination reason: Instruction limit
% 5.95/1.39 % (3632859)Termination phase: Saturation
% 5.95/1.39 % (3632859)Time elapsed: 0.045 s
% 5.95/1.39 % (3632859)Peak memory usage: 89 MB
% 5.95/1.39 % (3632859)Instructions burned: 87 (million)
% 5.95/1.39 % (3632866)Instruction limit reached!
% 5.95/1.39 % (3632866)------------------------------
% 5.95/1.39 % (3632866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.39 % (3632866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.39 % (3632866)CaDiCaL version: 2.1.3
% 5.95/1.39 % (3632866)Termination reason: Instruction limit
% 5.95/1.39 % (3632866)Termination phase: Saturation
% 5.95/1.39 % (3632866)Time elapsed: 0.076 s
% 5.95/1.39 % (3632866)Peak memory usage: 91 MB
% 5.95/1.39 % (3632866)Instructions burned: 182 (million)
% 5.95/1.39 % (3632871)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3568762151:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.95/1.39 % (3632873)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=71227352:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.95/1.39 % (3632871)Instruction limit reached!
% 5.95/1.39 % (3632871)------------------------------
% 5.95/1.39 % (3632871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.39 % (3632871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.39 % (3632871)CaDiCaL version: 2.1.3
% 5.95/1.39 % (3632871)Termination reason: Instruction limit
% 5.95/1.39 % (3632871)Termination phase: Property scanning
% 5.95/1.39 % (3632871)Time elapsed: 0.003 s
% 5.95/1.39 % (3632871)Peak memory usage: 86 MB
% 5.95/1.39 % (3632871)Instructions burned: 6 (million)
% 5.95/1.39 % (3632880)lrs+10_1_thi=all:si=on:fd=off:random_seed=1330491089:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.95/1.39 % (3632873)Instruction limit reached!
% 5.95/1.39 % (3632873)------------------------------
% 5.95/1.39 % (3632873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.39 % (3632873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.39 % (3632873)CaDiCaL version: 2.1.3
% 5.95/1.39 % (3632873)Termination reason: Instruction limit
% 5.95/1.39 % (3632873)Termination phase: Saturation
% 5.95/1.39 % (3632873)Time elapsed: 0.080 s
% 5.95/1.39 % (3632873)Peak memory usage: 134 MB
% 5.95/1.39 % (3632873)Instructions burned: 67 (million)
% 5.95/1.39 % (3632854)------------------------------
% 5.95/1.39 % (3632854)------------------------------
% 5.95/1.39 % (3632880)Instruction limit reached!
% 5.95/1.39 % (3632880)------------------------------
% 5.95/1.39 % (3632880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.42 % (3632880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.42 % (3632880)CaDiCaL version: 2.1.3
% 6.39/1.42 % (3632880)Termination reason: Instruction limit
% 6.39/1.42 % (3632880)Termination phase: Saturation
% 6.39/1.42 % (3632880)Time elapsed: 0.036 s
% 6.39/1.42 % (3632880)Peak memory usage: 116 MB
% 6.39/1.42 % (3632880)Instructions burned: 53 (million)
% 6.39/1.42 % (3632891)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=1147083607:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 6.39/1.42 % (3632891)Instruction limit reached!
% 6.39/1.42 % (3632891)------------------------------
% 6.39/1.42 % (3632891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.42 % (3632891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.42 % (3632891)CaDiCaL version: 2.1.3
% 6.39/1.42 % (3632891)Termination reason: Instruction limit
% 6.39/1.42 % (3632891)Termination phase: Saturation
% 6.39/1.42 % (3632891)Time elapsed: 0.004 s
% 6.39/1.42 % (3632891)Peak memory usage: 87 MB
% 6.39/1.42 % (3632891)Instructions burned: 9 (million)
% 6.39/1.42 % (3632893)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=4058969393:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 6.39/1.42 % (3632893)Instruction limit reached!
% 6.39/1.42 % (3632893)------------------------------
% 6.39/1.42 % (3632893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.42 % (3632893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.42 % (3632893)CaDiCaL version: 2.1.3
% 6.39/1.42 % (3632893)Termination reason: Instruction limit
% 6.39/1.42 % (3632893)Termination phase: SInE selection
% 6.39/1.42 % (3632893)Time elapsed: 0.001 s
% 6.39/1.42 % (3632893)Peak memory usage: 85 MB
% 6.39/1.42 % (3632893)Instructions burned: 2 (million)
% 6.39/1.42 % (3632895)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1557277073:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 6.39/1.42 % (3632895)Instruction limit reached!
% 6.39/1.42 % (3632895)------------------------------
% 6.39/1.42 % (3632895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.42 % (3632895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.42 % (3632895)CaDiCaL version: 2.1.3
% 6.39/1.42 % (3632895)Termination reason: Instruction limit
% 6.39/1.42 % (3632895)Termination phase: Saturation
% 6.39/1.42 % (3632895)Time elapsed: 0.003 s
% 6.39/1.42 % (3632895)Peak memory usage: 86 MB
% 6.39/1.42 % (3632895)Instructions burned: 6 (million)
% 6.39/1.42 % (3632898)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2404257852:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 6.39/1.42 % (3632898)First to succeed.
% 6.39/1.42 % (3632898)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3632804"
% 6.39/1.42 % (3632912)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4169509938:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 6.39/1.42 % (3632914)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1057438871: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)
% 6.39/1.42 % (3632910)dis+10_1_si=on:random_seed=165549028:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 6.39/1.42 % (3632910)Instruction limit reached!
% 6.39/1.42 % (3632910)------------------------------
% 6.39/1.42 % (3632910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.42 % (3632910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.42 % (3632910)CaDiCaL version: 2.1.3
% 6.39/1.42 % (3632910)Termination reason: Instruction limit
% 6.39/1.42 % (3632910)Termination phase: Saturation
% 6.39/1.42 % (3632910)Time elapsed: 0.005 s
% 6.39/1.42 % (3632910)Peak memory usage: 88 MB
% 6.39/1.42 % (3632910)Instructions burned: 10 (million)
% 6.39/1.42 % (3632912)Refutation not found, incomplete strategy
% 6.39/1.42 % (3632912)------------------------------
% 6.39/1.42 % (3632912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.42 % (3632912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.42 % (3632912)CaDiCaL version: 2.1.3
% 7.73/1.58 % (3632912)Termination reason: Refutation not found, incomplete strategy
% 7.73/1.58 % (3632912)Time elapsed: 0.006 s
% 7.73/1.58 % (3632912)Peak memory usage: 88 MB
% 7.73/1.58 % (3632912)Instructions burned: 11 (million)
% 7.73/1.58 % (3632914)Instruction limit reached!
% 7.73/1.58 % (3632914)------------------------------
% 7.73/1.58 % (3632914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.58 % (3632914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.58 % (3632914)CaDiCaL version: 2.1.3
% 7.73/1.58 % (3632914)Termination reason: Instruction limit
% 7.73/1.58 % (3632914)Termination phase: Saturation
% 7.73/1.58 % (3632914)Time elapsed: 0.022 s
% 7.73/1.58 % (3632914)Peak memory usage: 89 MB
% 7.73/1.58 % (3632914)Instructions burned: 36 (million)
% 7.73/1.58 % (3632915)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3073898799:i=2:fsr=off:rtra=on:inst=on_2992 on theBenchmark for (2992ds/2Mi)
% 7.73/1.58 % (3632915)Instruction limit reached!
% 7.73/1.58 % (3632915)------------------------------
% 7.73/1.58 % (3632915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.58 % (3632915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.58 % (3632915)CaDiCaL version: 2.1.3
% 7.73/1.58 % (3632915)Termination reason: Instruction limit
% 7.73/1.58 % (3632915)Termination phase: shuffling
% 7.73/1.58 % (3632915)Time elapsed: 0.001 s
% 7.73/1.58 % (3632915)Peak memory usage: 85 MB
% 7.73/1.58 % (3632915)Instructions burned: 3 (million)
% 7.73/1.58 % (3632918)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2019134148:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2992 on theBenchmark for (2992ds/8Mi)
% 7.73/1.58 % (3632918)Instruction limit reached!
% 7.73/1.58 % (3632918)------------------------------
% 7.73/1.58 % (3632918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.58 % (3632918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.58 % (3632918)CaDiCaL version: 2.1.3
% 7.73/1.58 % (3632918)Termination reason: Instruction limit
% 7.73/1.58 % (3632918)Termination phase: Saturation
% 7.73/1.58 % (3632918)Time elapsed: 0.004 s
% 7.73/1.58 % (3632918)Peak memory usage: 87 MB
% 7.73/1.58 % (3632918)Instructions burned: 8 (million)
% 7.73/1.58 % (3632925)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=1723002833:i=370:ep=RS:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/370Mi)
% 7.73/1.58 % (3632925)Refutation not found, incomplete strategy
% 7.73/1.58 % (3632925)------------------------------
% 7.73/1.58 % (3632925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.58 % (3632925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.58 % (3632925)CaDiCaL version: 2.1.3
% 7.73/1.58 % (3632925)Termination reason: Refutation not found, incomplete strategy
% 7.73/1.58 % (3632925)Time elapsed: 0.005 s
% 7.73/1.58 % (3632925)Peak memory usage: 88 MB
% 7.73/1.58 % (3632925)Instructions burned: 10 (million)
% 7.73/1.58 % (3632937)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=433560840:i=10:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 7.73/1.58 % (3632937)Instruction limit reached!
% 7.73/1.58 % (3632937)------------------------------
% 7.73/1.58 % (3632937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.58 % (3632937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.58 % (3632937)CaDiCaL version: 2.1.3
% 7.73/1.58 % (3632937)Termination reason: Instruction limit
% 7.73/1.58 % (3632937)Termination phase: Saturation
% 7.73/1.58 % (3632937)Time elapsed: 0.004 s
% 7.73/1.58 % (3632937)Peak memory usage: 88 MB
% 7.73/1.58 % (3632937)Instructions burned: 10 (million)
% 7.73/1.58 % (3632935)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1902109663:i=226:rtra=on:gtg=position:ss=axioms_2991 on theBenchmark for (2991ds/226Mi)
% 7.73/1.58 % (3632932)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=894894414:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2991 on theBenchmark for (2991ds/13Mi)
% 7.73/1.58 % (3632932)Instruction limit reached!
% 7.73/1.58 % (3632932)------------------------------
% 7.73/1.58 % (3632932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.58 % (3632932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.58 % (3632932)CaDiCaL version: 2.1.3
% 7.73/1.58 % (3632932)Termination reason: Instruction limit
% 7.73/1.58 % (3632932)Termination phase: Saturation
% 7.73/1.58 % (3632932)Time elapsed: 0.025 s
% 7.73/1.58 % (3632932)Peak memory usage: 110 MB
% 7.73/1.58 % (3632932)Instructions burned: 13 (million)
% 7.73/1.58 % (3632935)Refutation not found, incomplete strategy
% 7.73/1.58 % (3632935)------------------------------
% 7.73/1.58 % (3632935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.58 % (3632935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.58 % (3632935)CaDiCaL version: 2.1.3
% 7.73/1.58 % (3632935)Termination reason: Refutation not found, incomplete strategy
% 7.73/1.58 % (3632935)Time elapsed: 0.026 s
% 7.73/1.58 % (3632935)Peak memory usage: 115 MB
% 7.73/1.58 % (3632935)Instructions burned: 9 (million)
% 7.73/1.58 % (3632898)Refutation found. Thanks to Tanya!
% 7.73/1.58 % SZS status Theorem for theBenchmark
% 7.73/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 7.73/1.58 % (3632898)------------------------------
% 7.73/1.58 % (3632898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/1.58 % (3632898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.58 % (3632898)CaDiCaL version: 2.1.3
% 7.73/1.58 % (3632898)Termination reason: Refutation
% 7.73/1.58 % (3632898)Time elapsed: 0.044 s
% 7.73/1.58 % (3632898)Peak memory usage: 116 MB
% 7.73/1.58 % (3632898)Instructions burned: 36 (million)
% 7.73/1.58 % (3632898)------------------------------
% 7.73/1.58 % (3632898)------------------------------
% 7.73/1.58 % (3632804)Success in time 1.076 s
% 7.73/1.58 % Vampire exiting
%------------------------------------------------------------------------------