%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS157+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 11:42:24 AM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 111 ( 27 unt; 12 def)
% Number of atoms : 353 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 413 ( 171 ~; 168 |; 52 &)
% ( 20 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 13 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f122,axiom,
! [X0] :
( cC216(X0)
<=> ( cC64(X0)
& cC214xcomp(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).
fof(f133,axiom,
! [X0] :
( cC30(X0)
<=> ( cC28(X0)
& cC14(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(f149,axiom,
! [X0] :
( cC46(X0)
<=> ( cC30(X0)
& cC44(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).
fof(f202,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC216(X0)
& cC46(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_201) ).
fof(f203,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_202) ).
fof(f218,axiom,
cowlThing(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_217) ).
fof(f220,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC14(iV3102)
& cC44(iV3102)
& cC216(iV3102)
& cC64(iV3102)
& cC46(iV3102)
& cC28(iV3102)
& cowlThing(iV3102)
& cC30(iV3102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f221,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cC14(iV3102)
& cC44(iV3102)
& cC216(iV3102)
& cC64(iV3102)
& cC46(iV3102)
& cC28(iV3102)
& cowlThing(iV3102)
& cC30(iV3102) ),
inference(negated_conjecture,[status(cth)],[f220]) ).
fof(f222,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC14(iV3102)
& cC44(iV3102)
& cC216(iV3102)
& cC64(iV3102)
& cC46(iV3102)
& cC28(iV3102)
& cowlThing(iV3102)
& cC30(iV3102) ),
inference(rectify,[],[f221]) ).
fof(f223,plain,
! [X0] :
( cTEST(X0)
=> ( cC216(X0)
& cC46(X0) ) ),
inference(unused_predicate_definition_removal,[],[f202]) ).
fof(f279,plain,
! [X0] :
( ( cC216(X0)
& cC46(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f223]) ).
fof(f285,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cC14(iV3102)
| ~ cC44(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC46(iV3102)
| ~ cC28(iV3102)
| ~ cowlThing(iV3102)
| ~ cC30(iV3102) ),
inference(ennf_transformation,[],[f222]) ).
fof(f286,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f609,plain,
! [X0] :
( ( cC216(X0)
| ~ cC64(X0)
| ~ cC214xcomp(X0) )
& ( ( cC64(X0)
& cC214xcomp(X0) )
| ~ cC216(X0) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f610,plain,
! [X0] :
( ( cC216(X0)
| ~ cC64(X0)
| ~ cC214xcomp(X0) )
& ( ( cC64(X0)
& cC214xcomp(X0) )
| ~ cC216(X0) ) ),
inference(flattening,[],[f609]) ).
fof(f637,plain,
! [X0] :
( ( cC30(X0)
| ~ cC28(X0)
| ~ cC14(X0) )
& ( ( cC28(X0)
& cC14(X0) )
| ~ cC30(X0) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f638,plain,
! [X0] :
( ( cC30(X0)
| ~ cC28(X0)
| ~ cC14(X0) )
& ( ( cC28(X0)
& cC14(X0) )
| ~ cC30(X0) ) ),
inference(flattening,[],[f637]) ).
fof(f678,plain,
! [X0] :
( ( cC46(X0)
| ~ cC30(X0)
| ~ cC44(X0) )
& ( ( cC30(X0)
& cC44(X0) )
| ~ cC46(X0) ) ),
inference(nnf_transformation,[],[f149]) ).
fof(f679,plain,
! [X0] :
( ( cC46(X0)
| ~ cC30(X0)
| ~ cC44(X0) )
& ( ( cC30(X0)
& cC44(X0) )
| ~ cC46(X0) ) ),
inference(flattening,[],[f678]) ).
fof(f821,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC14(iV3102)
| ~ cC44(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC46(iV3102)
| ~ cC28(iV3102)
| ~ cowlThing(iV3102)
| ~ cC30(iV3102) ),
inference(nnf_transformation,[],[f285]) ).
fof(f822,plain,
( ~ cowlThing(sK146)
| cowlNothing(sK146)
| ( ( xsd_integer(sK147)
| ~ xsd_string(sK147) )
& ( ~ xsd_integer(sK147)
| xsd_string(sK147) ) )
| ~ cC14(iV3102)
| ~ cC44(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC46(iV3102)
| ~ cC28(iV3102)
| ~ cowlThing(iV3102)
| ~ cC30(iV3102) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK146,sK147]),skolemize(X0,sK146),skolemize(X1,sK147)],[f821]) ).
fof(f823,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f824,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f825,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f826,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1127,plain,
! [X0] :
( ~ cC216(X0)
| cC64(X0) ),
inference(cnf_transformation,[],[f610]) ).
fof(f1152,plain,
! [X0] :
( ~ cC30(X0)
| cC14(X0) ),
inference(cnf_transformation,[],[f638]) ).
fof(f1153,plain,
! [X0] :
( ~ cC30(X0)
| cC28(X0) ),
inference(cnf_transformation,[],[f638]) ).
fof(f1191,plain,
! [X0] :
( ~ cC46(X0)
| cC44(X0) ),
inference(cnf_transformation,[],[f679]) ).
fof(f1192,plain,
! [X0] :
( ~ cC46(X0)
| cC30(X0) ),
inference(cnf_transformation,[],[f679]) ).
fof(f1325,plain,
! [X0] :
( ~ cTEST(X0)
| cC46(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1326,plain,
! [X0] :
( ~ cTEST(X0)
| cC216(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1327,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f203]) ).
fof(f1342,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f218]) ).
fof(f1344,plain,
( ~ cowlThing(sK146)
| cowlNothing(sK146)
| ~ xsd_integer(sK147)
| xsd_string(sK147)
| ~ cC14(iV3102)
| ~ cC44(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC46(iV3102)
| ~ cC28(iV3102)
| ~ cowlThing(iV3102)
| ~ cC30(iV3102) ),
inference(cnf_transformation,[],[f822]) ).
fof(f1345,plain,
( ~ cowlThing(sK146)
| cowlNothing(sK146)
| xsd_integer(sK147)
| ~ xsd_string(sK147)
| ~ cC14(iV3102)
| ~ cC44(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC46(iV3102)
| ~ cC28(iV3102)
| ~ cowlThing(iV3102)
| ~ cC30(iV3102) ),
inference(cnf_transformation,[],[f822]) ).
fof(f1347,definition,
( spl148_1
<=> cC30(iV3102) ),
introduced(definition,[new_symbols(definition,[spl148_1])],[avatar_definition]) ).
fof(f1348,plain,
( cC30(iV3102)
| ~ spl148_1 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1351,definition,
( spl148_2
<=> cowlThing(iV3102) ),
introduced(definition,[new_symbols(definition,[spl148_2])],[avatar_definition]) ).
fof(f1355,definition,
( spl148_3
<=> cC28(iV3102) ),
introduced(definition,[new_symbols(definition,[spl148_3])],[avatar_definition]) ).
fof(f1359,definition,
( spl148_4
<=> cC46(iV3102) ),
introduced(definition,[new_symbols(definition,[spl148_4])],[avatar_definition]) ).
fof(f1360,plain,
( cC46(iV3102)
| ~ spl148_4 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f1363,definition,
( spl148_5
<=> cC64(iV3102) ),
introduced(definition,[new_symbols(definition,[spl148_5])],[avatar_definition]) ).
fof(f1367,definition,
( spl148_6
<=> cC216(iV3102) ),
introduced(definition,[new_symbols(definition,[spl148_6])],[avatar_definition]) ).
fof(f1368,plain,
( cC216(iV3102)
| ~ spl148_6 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1371,definition,
( spl148_7
<=> cC44(iV3102) ),
introduced(definition,[new_symbols(definition,[spl148_7])],[avatar_definition]) ).
fof(f1375,definition,
( spl148_8
<=> cC14(iV3102) ),
introduced(definition,[new_symbols(definition,[spl148_8])],[avatar_definition]) ).
fof(f1379,definition,
( spl148_9
<=> xsd_string(sK147) ),
introduced(definition,[new_symbols(definition,[spl148_9])],[avatar_definition]) ).
fof(f1380,plain,
( ~ xsd_string(sK147)
| spl148_9 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1381,plain,
( xsd_string(sK147)
| ~ spl148_9 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1383,definition,
( spl148_10
<=> xsd_integer(sK147) ),
introduced(definition,[new_symbols(definition,[spl148_10])],[avatar_definition]) ).
fof(f1384,plain,
( xsd_integer(sK147)
| ~ spl148_10 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1385,plain,
( ~ xsd_integer(sK147)
| spl148_10 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1387,definition,
( spl148_11
<=> cowlNothing(sK146) ),
introduced(definition,[new_symbols(definition,[spl148_11])],[avatar_definition]) ).
fof(f1389,plain,
( cowlNothing(sK146)
| ~ spl148_11 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1391,definition,
( spl148_12
<=> cowlThing(sK146) ),
introduced(definition,[new_symbols(definition,[spl148_12])],[avatar_definition]) ).
fof(f1393,plain,
( ~ cowlThing(sK146)
| spl148_12 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1394,plain,
( ~ spl148_1
| ~ spl148_2
| ~ spl148_3
| ~ spl148_4
| ~ spl148_5
| ~ spl148_6
| ~ spl148_7
| ~ spl148_8
| spl148_9
| ~ spl148_10
| spl148_11
| ~ spl148_12 ),
inference(avatar_split_clause,[],[f1344,f1391,f1387,f1383,f1379,f1375,f1371,f1367,f1363,f1359,f1355,f1351,f1347]) ).
fof(f1395,plain,
( ~ spl148_1
| ~ spl148_2
| ~ spl148_3
| ~ spl148_4
| ~ spl148_5
| ~ spl148_6
| ~ spl148_7
| ~ spl148_8
| ~ spl148_9
| spl148_10
| spl148_11
| ~ spl148_12 ),
inference(avatar_split_clause,[],[f1345,f1391,f1387,f1383,f1379,f1375,f1371,f1367,f1363,f1359,f1355,f1351,f1347]) ).
fof(f1396,plain,
spl148_2,
inference(avatar_split_clause,[],[f1342,f1351]) ).
fof(f1398,plain,
cC46(iV3102),
inference(resolution,[],[f1325,f1327]) ).
fof(f1399,plain,
spl148_4,
inference(avatar_split_clause,[],[f1398,f1359]) ).
fof(f1400,plain,
( cC30(iV3102)
| ~ spl148_4 ),
inference(resolution,[],[f1360,f1192]) ).
fof(f1401,plain,
( cC44(iV3102)
| ~ spl148_4 ),
inference(resolution,[],[f1360,f1191]) ).
fof(f1402,plain,
( spl148_7
| ~ spl148_4 ),
inference(avatar_split_clause,[],[f1401,f1359,f1371]) ).
fof(f1405,plain,
( spl148_1
| ~ spl148_4 ),
inference(avatar_split_clause,[],[f1400,f1359,f1347]) ).
fof(f1406,plain,
( cC28(iV3102)
| ~ spl148_1 ),
inference(resolution,[],[f1348,f1153]) ).
fof(f1407,plain,
( cC14(iV3102)
| ~ spl148_1 ),
inference(resolution,[],[f1348,f1152]) ).
fof(f1408,plain,
( spl148_8
| ~ spl148_1 ),
inference(avatar_split_clause,[],[f1407,f1347,f1375]) ).
fof(f1409,plain,
( spl148_3
| ~ spl148_1 ),
inference(avatar_split_clause,[],[f1406,f1347,f1355]) ).
fof(f1416,plain,
cC216(iV3102),
inference(resolution,[],[f1326,f1327]) ).
fof(f1417,plain,
spl148_6,
inference(avatar_split_clause,[],[f1416,f1367]) ).
fof(f1418,plain,
( cC64(iV3102)
| ~ spl148_6 ),
inference(resolution,[],[f1368,f1127]) ).
fof(f1422,plain,
( $false
| spl148_12 ),
inference(forward_subsumption_resolution,[],[f1393,f824]) ).
fof(f1423,plain,
spl148_12,
inference(avatar_contradiction_clause,[],[f1422]) ).
fof(f1424,plain,
( spl148_5
| ~ spl148_6 ),
inference(avatar_split_clause,[],[f1418,f1367,f1363]) ).
fof(f1427,plain,
( xsd_string(sK147)
| spl148_10 ),
inference(resolution,[],[f1385,f826]) ).
fof(f1428,plain,
( $false
| spl148_9
| spl148_10 ),
inference(forward_subsumption_resolution,[],[f1427,f1380]) ).
fof(f1429,plain,
( spl148_9
| spl148_10 ),
inference(avatar_contradiction_clause,[],[f1428]) ).
fof(f1430,plain,
( ~ xsd_string(sK147)
| ~ spl148_10 ),
inference(resolution,[],[f1384,f825]) ).
fof(f1431,plain,
( $false
| ~ spl148_9
| ~ spl148_10 ),
inference(forward_subsumption_resolution,[],[f1430,f1381]) ).
fof(f1432,plain,
( ~ spl148_9
| ~ spl148_10 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1433,plain,
( $false
| ~ spl148_11 ),
inference(forward_subsumption_resolution,[],[f1389,f823]) ).
fof(f1434,plain,
~ spl148_11,
inference(avatar_contradiction_clause,[],[f1433]) ).
cnf(s1,plain,
( ~ spl148_1
| ~ spl148_2
| ~ spl148_3
| ~ spl148_4
| ~ spl148_5
| ~ spl148_6
| ~ spl148_7
| ~ spl148_8
| spl148_9
| ~ spl148_10
| spl148_11
| ~ spl148_12 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s2,plain,
( ~ spl148_1
| ~ spl148_2
| ~ spl148_3
| ~ spl148_4
| ~ spl148_5
| ~ spl148_6
| ~ spl148_7
| ~ spl148_8
| ~ spl148_9
| spl148_10
| spl148_11
| ~ spl148_12 ),
inference(sat_conversion,[],[f1395]) ).
cnf(s3,plain,
spl148_2,
inference(sat_conversion,[],[f1396]) ).
cnf(s4,plain,
spl148_4,
inference(sat_conversion,[],[f1399]) ).
cnf(s5,plain,
( ~ spl148_4
| spl148_7 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s7,plain,
( spl148_1
| ~ spl148_4 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s8,plain,
( ~ spl148_1
| spl148_8 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s9,plain,
( ~ spl148_1
| spl148_3 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s10,plain,
spl148_6,
inference(sat_conversion,[],[f1417]) ).
cnf(s12,plain,
spl148_12,
inference(sat_conversion,[],[f1423]) ).
cnf(s13,plain,
( spl148_5
| ~ spl148_6 ),
inference(sat_conversion,[],[f1424]) ).
cnf(s14,plain,
( spl148_9
| spl148_10 ),
inference(sat_conversion,[],[f1429]) ).
cnf(s15,plain,
( ~ spl148_9
| ~ spl148_10 ),
inference(sat_conversion,[],[f1432]) ).
cnf(s16,plain,
~ spl148_11,
inference(sat_conversion,[],[f1434]) ).
cnf(s17,plain,
spl148_5,
inference(rat,[],[s13,s10]) ).
cnf(s18,plain,
spl148_1,
inference(rat,[],[s7,s4]) ).
cnf(s19,plain,
spl148_7,
inference(rat,[],[s5,s4]) ).
cnf(s20,plain,
spl148_3,
inference(rat,[],[s9,s18]) ).
cnf(s21,plain,
spl148_8,
inference(rat,[],[s8,s18]) ).
cnf(s22,plain,
( ~ spl148_9
| spl148_10 ),
inference(rat,[],[s2,s12,s16,s21,s19,s10,s17,s4,s20,s3,s18]) ).
cnf(s23,plain,
( spl148_9
| ~ spl148_10 ),
inference(rat,[],[s1,s12,s16,s21,s19,s10,s17,s4,s20,s3,s18]) ).
cnf(s24,plain,
spl148_9,
inference(rat,[],[s23,s14]) ).
cnf(s25,plain,
~ spl148_10,
inference(rat,[],[s15,s24]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s22,s25,s24]) ).
fof(f1435,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS157+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 13:35:31 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.45 % (1678876)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (1678884)dis+10_1_sil=32000:sp=arity:random_seed=308858680:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (1678882)% WARNING: option uhcvi not known.
% 0.09/0.45 % (1678884) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1678876-1678884"...
% 0.09/0.45 % (1678884)...printing done.
% 0.09/0.45 % (1678881)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2534308298_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (1678882)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3407471663:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % (1678886)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=920324659:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (1678885)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=535975930:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (1678883)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1134762472:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (1678887)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3238987012:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (1678884)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Theorem for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (1678884)------------------------------
% 0.09/0.45 % (1678884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (1678884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (1678884)CaDiCaL version: 2.1.3
% 0.09/0.45 % (1678884)Termination reason: Refutation
% 0.09/0.45 % (1678884)Time elapsed: 0.005 s
% 0.09/0.45 % (1678884)Peak memory usage: 13 MB
% 0.09/0.45 % (1678884)Instructions burned: 15 (million)
% 0.09/0.45 % (1678876)Success in time 0.037 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------