%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU321+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:52:52 PM UTC 2026
% Result : Theorem 8.47s 1.98s
% Output : Refutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 9 unt; 2 def)
% Number of atoms : 153 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 166 ( 67 ~; 67 |; 14 &)
% ( 4 <=>; 12 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f201,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f264,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,subset_complement(the_carrier(X0),X1))
<=> ~ in(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_tops_1) ).
fof(f265,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,subset_complement(the_carrier(X0),X1))
<=> ~ in(X2,X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f264]) ).
fof(f475,axiom,
! [X0] :
( X0 != empty_set
=> ! [X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,X0)
=> ( ~ in(X2,X1)
=> in(X2,subset_complement(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
fof(f479,axiom,
! [X0,X1,X2] :
( element(X2,powerset(X0))
=> ~ ( in(X1,subset_complement(X0,X2))
& in(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
fof(f746,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f201]) ).
fof(f747,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f746]) ).
fof(f812,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,subset_complement(the_carrier(X0),X1))
<~> ~ in(X2,X1) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f265]) ).
fof(f813,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,subset_complement(the_carrier(X0),X1))
<~> ~ in(X2,X1) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(flattening,[],[f812]) ).
fof(f1055,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0) )
| ~ element(X1,powerset(X0)) )
| empty_set = X0 ),
inference(ennf_transformation,[],[f475]) ).
fof(f1056,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0) )
| ~ element(X1,powerset(X0)) )
| empty_set = X0 ),
inference(flattening,[],[f1055]) ).
fof(f1063,plain,
! [X0,X1,X2] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f479]) ).
fof(f1064,plain,
! [X0,X1,X2] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f1063]) ).
fof(f1573,plain,
empty(empty_set),
inference(cnf_transformation,[],[f191]) ).
fof(f1597,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f747]) ).
fof(f1730,plain,
( ~ in(sK116,sK115)
| in(sK116,subset_complement(the_carrier(sK114),sK115)) ),
inference(cnf_transformation,[],[f813]) ).
fof(f1731,plain,
( in(sK116,sK115)
| ~ in(sK116,subset_complement(the_carrier(sK114),sK115)) ),
inference(cnf_transformation,[],[f813]) ).
fof(f1732,plain,
element(sK116,the_carrier(sK114)),
inference(cnf_transformation,[],[f813]) ).
fof(f1733,plain,
element(sK115,powerset(the_carrier(sK114))),
inference(cnf_transformation,[],[f813]) ).
fof(f1734,plain,
one_sorted_str(sK114),
inference(cnf_transformation,[],[f813]) ).
fof(f1735,plain,
~ empty_carrier(sK114),
inference(cnf_transformation,[],[f813]) ).
fof(f2653,plain,
! [X2,X0,X1] :
( in(X2,subset_complement(X0,X1))
| ~ element(X1,powerset(X0))
| ~ element(X2,X0)
| in(X2,X1)
| empty_set = X0 ),
inference(cnf_transformation,[],[f1056]) ).
fof(f2671,plain,
! [X2,X0,X1] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f1064]) ).
fof(f3368,definition,
( spl372_1
<=> in(sK116,subset_complement(the_carrier(sK114),sK115)) ),
introduced(definition,[new_symbols(definition,[spl372_1])],[avatar_definition]) ).
fof(f3369,plain,
( ~ in(sK116,subset_complement(the_carrier(sK114),sK115))
| spl372_1 ),
inference(avatar_component_clause,[],[f3368]) ).
fof(f3370,plain,
( in(sK116,subset_complement(the_carrier(sK114),sK115))
| ~ spl372_1 ),
inference(avatar_component_clause,[],[f3368]) ).
fof(f3372,definition,
( spl372_2
<=> in(sK116,sK115) ),
introduced(definition,[new_symbols(definition,[spl372_2])],[avatar_definition]) ).
fof(f3373,plain,
( in(sK116,sK115)
| ~ spl372_2 ),
inference(avatar_component_clause,[],[f3372]) ).
fof(f3374,plain,
( ~ in(sK116,sK115)
| spl372_2 ),
inference(avatar_component_clause,[],[f3372]) ).
fof(f3375,plain,
( spl372_1
| ~ spl372_2 ),
inference(avatar_split_clause,[],[f1730,f3372,f3368]) ).
fof(f3376,plain,
( ~ in(sK116,subset_complement(the_carrier(sK114),sK115))
| spl372_2 ),
inference(forward_subsumption_resolution,[],[f1731,f3374]) ).
fof(f3377,plain,
( ~ spl372_1
| spl372_2 ),
inference(avatar_split_clause,[],[f3376,f3372,f3368]) ).
fof(f20862,plain,
( ~ element(sK115,powerset(the_carrier(sK114)))
| ~ element(sK116,the_carrier(sK114))
| in(sK116,sK115)
| empty_set = the_carrier(sK114)
| spl372_1 ),
inference(resolution,[],[f2653,f3369]) ).
fof(f20870,plain,
( ~ element(sK116,the_carrier(sK114))
| in(sK116,sK115)
| empty_set = the_carrier(sK114)
| spl372_1 ),
inference(forward_subsumption_resolution,[],[f20862,f1733]) ).
fof(f20871,plain,
( in(sK116,sK115)
| empty_set = the_carrier(sK114)
| spl372_1 ),
inference(forward_subsumption_resolution,[],[f20870,f1732]) ).
fof(f20872,plain,
( empty_set = the_carrier(sK114)
| spl372_1
| spl372_2 ),
inference(forward_subsumption_resolution,[],[f20871,f3374]) ).
fof(f21080,plain,
( ~ empty(empty_set)
| empty_carrier(sK114)
| ~ one_sorted_str(sK114)
| spl372_1
| spl372_2 ),
inference(superposition,[],[f1597,f20872]) ).
fof(f21101,plain,
( empty_carrier(sK114)
| ~ one_sorted_str(sK114)
| spl372_1
| spl372_2 ),
inference(forward_subsumption_resolution,[],[f21080,f1573]) ).
fof(f21178,plain,
( ~ one_sorted_str(sK114)
| spl372_1
| spl372_2 ),
inference(forward_subsumption_resolution,[],[f21101,f1735]) ).
fof(f21183,plain,
( $false
| spl372_1
| spl372_2 ),
inference(forward_subsumption_resolution,[],[f21178,f1734]) ).
fof(f21184,plain,
( spl372_1
| spl372_2 ),
inference(avatar_contradiction_clause,[],[f21183]) ).
fof(f21203,plain,
( ~ in(sK116,sK115)
| ~ element(sK115,powerset(the_carrier(sK114)))
| ~ spl372_1 ),
inference(resolution,[],[f3370,f2671]) ).
fof(f21209,plain,
( ~ element(sK115,powerset(the_carrier(sK114)))
| ~ spl372_1
| ~ spl372_2 ),
inference(forward_subsumption_resolution,[],[f21203,f3373]) ).
fof(f21210,plain,
( $false
| ~ spl372_1
| ~ spl372_2 ),
inference(forward_subsumption_resolution,[],[f21209,f1733]) ).
fof(f21211,plain,
( ~ spl372_1
| ~ spl372_2 ),
inference(avatar_contradiction_clause,[],[f21210]) ).
cnf(s1,plain,
( spl372_1
| ~ spl372_2 ),
inference(sat_conversion,[],[f3375]) ).
cnf(s2,plain,
( ~ spl372_1
| spl372_2 ),
inference(sat_conversion,[],[f3377]) ).
cnf(s46,plain,
( spl372_1
| spl372_2 ),
inference(sat_conversion,[],[f21184]) ).
cnf(s47,plain,
( ~ spl372_1
| ~ spl372_2 ),
inference(sat_conversion,[],[f21211]) ).
cnf(s48,plain,
spl372_1,
inference(rat,[],[s1,s46]) ).
cnf(s49,plain,
~ spl372_2,
inference(rat,[],[s47,s48]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s2,s49,s48]) ).
fof(f21212,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU321+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 04:41:55 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.15/1.81 % (1880728)Will run a generic schedule for satisfiability detection.
% 8.15/1.81 % (1880739)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2210409756:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.15/1.81 % (1880734)% WARNING: option uhcvi not known.
% 8.15/1.81 % (1880733)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1790941928_2999 on theBenchmark for (2999ds/0Mi)
% 8.15/1.81 % (1880734)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1067942009:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.15/1.81 % (1880735)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3947365377:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.15/1.81 % (1880736)dis+10_1_sil=32000:sp=arity:random_seed=3351596179:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.15/1.81 % (1880737)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=409268525:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.15/1.81 % (1880738)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=13327833:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.15/1.81 % (1880739)Instruction limit reached!
% 8.15/1.81 % (1880739)------------------------------
% 8.15/1.81 % (1880739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.81 % (1880739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.81 % (1880739)CaDiCaL version: 2.1.3
% 8.15/1.81 % (1880739)Termination reason: Instruction limit
% 8.15/1.81 % (1880739)Termination phase: Saturation
% 8.15/1.81 % (1880739)Time elapsed: 0.055 s
% 8.15/1.81 % (1880739)Peak memory usage: 16 MB
% 8.15/1.81 % (1880739)Instructions burned: 164 (million)
% 8.15/1.81 % (1880737)Instruction limit reached!
% 8.15/1.81 % (1880737)------------------------------
% 8.15/1.81 % (1880737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.81 % (1880737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.81 % (1880737)CaDiCaL version: 2.1.3
% 8.15/1.81 % (1880737)Termination reason: Instruction limit
% 8.15/1.81 % (1880737)Termination phase: Blocked clause elimination
% 8.15/1.81 % (1880737)Time elapsed: 0.058 s
% 8.15/1.81 % (1880737)Peak memory usage: 13 MB
% 8.15/1.81 % (1880737)Instructions burned: 116 (million)
% 8.15/1.81 % (1880747)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=596126564:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.15/1.81 % (1880736)Instruction limit reached!
% 8.15/1.81 % (1880736)------------------------------
% 8.15/1.81 % (1880736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.81 % (1880736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.81 % (1880736)CaDiCaL version: 2.1.3
% 8.15/1.81 % (1880736)Termination reason: Instruction limit
% 8.15/1.81 % (1880736)Termination phase: Saturation
% 8.15/1.81 % (1880736)Time elapsed: 0.061 s
% 8.15/1.81 % (1880736)Peak memory usage: 14 MB
% 8.15/1.81 % (1880736)Instructions burned: 104 (million)
% 8.15/1.81 % (1880738)Instruction limit reached!
% 8.15/1.81 % (1880738)------------------------------
% 8.15/1.81 % (1880738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.81 % (1880738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.81 % (1880738)CaDiCaL version: 2.1.3
% 8.15/1.81 % (1880738)Termination reason: Instruction limit
% 8.15/1.81 % (1880738)Termination phase: Saturation
% 8.15/1.81 % (1880738)Time elapsed: 0.075 s
% 8.15/1.81 % (1880738)Peak memory usage: 15 MB
% 8.15/1.81 % (1880738)Instructions burned: 132 (million)
% 8.15/1.81 % (1880749)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1543006442:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.15/1.81 % (1880750)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=848545179:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.15/1.81 % (1880751)ott-21_1_sil=16000:fs=off:random_seed=1883989255:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.15/1.81 % TRYING [1]
% 8.15/1.81 % TRYING [2]
% 8.15/1.81 % (1880749)Instruction limit reached!
% 8.15/1.81 % (1880749)------------------------------
% 8.15/1.81 % (1880749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.81 % (1880749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880749)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880749)Termination reason: Instruction limit
% 8.47/1.98 % (1880749)Termination phase: Saturation
% 8.47/1.98 % (1880749)Time elapsed: 0.072 s
% 8.47/1.98 % (1880749)Peak memory usage: 15 MB
% 8.47/1.98 % (1880749)Instructions burned: 132 (million)
% 8.47/1.98 % TRYING [1]
% 8.47/1.98 % TRYING [3]
% 8.47/1.98 % TRYING [2]
% 8.47/1.98 % (1880755)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1741602600:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.47/1.98 % (1880751)Instruction limit reached!
% 8.47/1.98 % (1880751)------------------------------
% 8.47/1.98 % (1880751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880751)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880751)Termination reason: Instruction limit
% 8.47/1.98 % (1880751)Termination phase: Saturation
% 8.47/1.98 % (1880751)Time elapsed: 0.096 s
% 8.47/1.98 % (1880751)Peak memory usage: 15 MB
% 8.47/1.98 % (1880751)Instructions burned: 181 (million)
% 8.47/1.98 % (1880757)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4292827225:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.47/1.98 % (1880747)Instruction limit reached!
% 8.47/1.98 % (1880747)------------------------------
% 8.47/1.98 % (1880747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880747)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880747)Termination reason: Instruction limit
% 8.47/1.98 % (1880747)Termination phase: Finite model building constraint generation
% 8.47/1.98 % (1880747)Time elapsed: 0.156 s
% 8.47/1.98 % (1880747)Peak memory usage: 32 MB
% 8.47/1.98 % (1880747)Instructions burned: 715 (million)
% 8.47/1.98 % (1880759)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4045441617:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.47/1.98 % TRYING [3]
% 8.47/1.98 % TRYING [1]
% 8.47/1.98 % TRYING [2]
% 8.47/1.98 % (1880750)Instruction limit reached!
% 8.47/1.98 % (1880750)------------------------------
% 8.47/1.98 % (1880750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880750)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880750)Termination reason: Instruction limit
% 8.47/1.98 % (1880750)Termination phase: Saturation
% 8.47/1.98 % (1880750)Time elapsed: 0.404 s
% 8.47/1.98 % (1880750)Peak memory usage: 20 MB
% 8.47/1.98 % (1880750)Instructions burned: 685 (million)
% 8.47/1.98 % (1880755)Instruction limit reached!
% 8.47/1.98 % (1880755)------------------------------
% 8.47/1.98 % (1880755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880755)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880755)Termination reason: Instruction limit
% 8.47/1.98 % (1880755)Termination phase: Saturation
% 8.47/1.98 % (1880755)Time elapsed: 0.321 s
% 8.47/1.98 % (1880755)Peak memory usage: 16 MB
% 8.47/1.98 % (1880755)Instructions burned: 477 (million)
% 8.47/1.98 % (1880761)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=311165944:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.47/1.98 % (1880762)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1730989287:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.47/1.98 % (1880759)Instruction limit reached!
% 8.47/1.98 % (1880759)------------------------------
% 8.47/1.98 % (1880759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880759)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880759)Termination reason: Instruction limit
% 8.47/1.98 % (1880759)Termination phase: Saturation
% 8.47/1.98 % (1880759)Time elapsed: 0.393 s
% 8.47/1.98 % (1880759)Peak memory usage: 30 MB
% 8.47/1.98 % (1880759)Instructions burned: 1182 (million)
% 8.47/1.98 % TRYING [3]
% 8.47/1.98 % (1880757)Instruction limit reached!
% 8.47/1.98 % (1880757)------------------------------
% 8.47/1.98 % (1880757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880757)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880757)Termination reason: Instruction limit
% 8.47/1.98 % (1880757)Termination phase: Finite model building constraint generation
% 8.47/1.98 % (1880757)Time elapsed: 0.414 s
% 8.47/1.98 % (1880757)Peak memory usage: 35 MB
% 8.47/1.98 % (1880757)Instructions burned: 867 (million)
% 8.47/1.98 % (1880765)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=956102923:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 8.47/1.98 % (1880766)fmb+10_1_sil=64000:random_seed=3184542128:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 8.47/1.98 % TRYING [4]
% 8.47/1.98 % TRYING [1]
% 8.47/1.98 % TRYING [2]
% 8.47/1.98 % (1880765)Instruction limit reached!
% 8.47/1.98 % (1880765)------------------------------
% 8.47/1.98 % (1880765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880765)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880765)Termination reason: Instruction limit
% 8.47/1.98 % (1880765)Termination phase: Saturation
% 8.47/1.98 % (1880765)Time elapsed: 0.235 s
% 8.47/1.98 % (1880765)Peak memory usage: 23 MB
% 8.47/1.98 % (1880765)Instructions burned: 883 (million)
% 8.47/1.98 % (1880769)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2810733058:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.47/1.98 % (1880762)Instruction limit reached!
% 8.47/1.98 % (1880762)------------------------------
% 8.47/1.98 % (1880762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880762)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880762)Termination reason: Instruction limit
% 8.47/1.98 % (1880762)Termination phase: Saturation
% 8.47/1.98 % (1880762)Time elapsed: 0.405 s
% 8.47/1.98 % (1880762)Peak memory usage: 22 MB
% 8.47/1.98 % (1880762)Instructions burned: 694 (million)
% 8.47/1.98 % (1880761)Instruction limit reached!
% 8.47/1.98 % (1880761)------------------------------
% 8.47/1.98 % (1880761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880761)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880761)Termination reason: Instruction limit
% 8.47/1.98 % (1880761)Termination phase: Finite model building constraint generation
% 8.47/1.98 % (1880761)Time elapsed: 0.419 s
% 8.47/1.98 % (1880761)Peak memory usage: 88 MB
% 8.47/1.98 % (1880761)Instructions burned: 891 (million)
% 8.47/1.98 % (1880771)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3614244541:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.47/1.98 % (1880772)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3594841751:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 8.47/1.98 % TRYING [3]
% 8.47/1.98 % (1880769)Cannot represent all propositional literals internally
% 8.47/1.98 % (1880769)Refutation not found, incomplete strategy
% 8.47/1.98 % (1880769)------------------------------
% 8.47/1.98 % (1880769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880769)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880769)Termination reason: Refutation not found, incomplete strategy
% 8.47/1.98 % (1880769)Time elapsed: 0.075 s
% 8.47/1.98 % (1880769)Peak memory usage: 17 MB
% 8.47/1.98 % (1880769)Instructions burned: 283 (million)
% 8.47/1.98 % (1880769)------------------------------
% 8.47/1.98 % (1880769)------------------------------
% 8.47/1.98 % (1880775)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3067976468:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 8.47/1.98 % TRYING [8]
% 8.47/1.98 % (1880771)Instruction limit reached!
% 8.47/1.98 % (1880771)------------------------------
% 8.47/1.98 % (1880771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880771)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880771)Termination reason: Instruction limit
% 8.47/1.98 % (1880771)Termination phase: Finite model building constraint generation
% 8.47/1.98 % (1880771)Time elapsed: 0.356 s
% 8.47/1.98 % (1880771)Peak memory usage: 56 MB
% 8.47/1.98 % (1880771)Instructions burned: 921 (million)
% 8.47/1.98 % (1880777)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1369822346:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 8.47/1.98 % (1880775)Instruction limit reached!
% 8.47/1.98 % (1880775)------------------------------
% 8.47/1.98 % (1880775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880775)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880775)Termination reason: Instruction limit
% 8.47/1.98 % (1880775)Termination phase: Saturation
% 8.47/1.98 % (1880775)Time elapsed: 0.437 s
% 8.47/1.98 % (1880775)Peak memory usage: 29 MB
% 8.47/1.98 % (1880775)Instructions burned: 1474 (million)
% 8.47/1.98 % (1880779)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=644126162:fmbsr=2.30978:i=2174_2985 on theBenchmark for (2985ds/2174Mi)
% 8.47/1.98 % (1880772) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1880728-1880772"...
% 8.47/1.98 % (1880772)...printing done.
% 8.47/1.98 % (1880772)Refutation found. Thanks to Tanya!
% 8.47/1.98 % SZS status Theorem for theBenchmark
% 8.47/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.47/1.98 % (1880772)------------------------------
% 8.47/1.98 % (1880772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.98 % (1880772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.98 % (1880772)CaDiCaL version: 2.1.3
% 8.47/1.98 % (1880772)Termination reason: Refutation
% 8.47/1.98 % (1880772)Time elapsed: 0.499 s
% 8.47/1.98 % (1880772)Peak memory usage: 22 MB
% 8.47/1.98 % (1880772)Instructions burned: 816 (million)
% 8.47/1.98 % (1880728)Success in time 1.549 s
% 8.47/1.98 % Vampire exiting
%------------------------------------------------------------------------------