%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU210+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:52:23 PM UTC 2026
% Result : Theorem 51.43s 9.02s
% Output : Refutation 51.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 21 unt; 1 def)
% Number of atoms : 140 ( 36 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 136 ( 56 ~; 51 |; 12 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 102 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f12,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f16,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f21,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f30,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f32,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f123,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f133,conjecture,
! [X0,X1] :
( relation(X1)
=> ~ ( X0 != empty_set
& subset(X0,relation_rng(X1))
& relation_inverse_image(X1,X0) = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t174_relat_1) ).
fof(f134,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ~ ( X0 != empty_set
& subset(X0,relation_rng(X1))
& relation_inverse_image(X1,X0) = empty_set ) ),
inference(negated_conjecture,[status(cth)],[f133]) ).
fof(f189,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f227,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f298,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f123]) ).
fof(f309,plain,
? [X0,X1] :
( X0 != empty_set
& subset(X0,relation_rng(X1))
& relation_inverse_image(X1,X0) = empty_set
& relation(X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f310,plain,
? [X0,X1] :
( X0 != empty_set
& subset(X0,relation_rng(X1))
& relation_inverse_image(X1,X0) = empty_set
& relation(X1) ),
inference(flattening,[],[f309]) ).
fof(f384,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f419,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0)
| in(X3,X2)
| relation_inverse_image(X0,X1) != X2 ),
inference(cnf_transformation,[],[f227]) ).
fof(f435,plain,
! [X0] :
( in(sK19(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f436,plain,
! [X0,X1] :
( ~ in(X1,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f460,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| in(X3,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f499,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(sK42(X0,X2),X2),X0)
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f235]) ).
fof(f503,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f611,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f298]) ).
fof(f629,plain,
relation(sK63),
inference(cnf_transformation,[],[f310]) ).
fof(f630,plain,
empty_set = relation_inverse_image(sK63,sK62),
inference(cnf_transformation,[],[f310]) ).
fof(f631,plain,
subset(sK62,relation_rng(sK63)),
inference(cnf_transformation,[],[f310]) ).
fof(f632,plain,
empty_set != sK62,
inference(cnf_transformation,[],[f310]) ).
fof(f708,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f189]) ).
fof(f737,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f503,f708]) ).
fof(f761,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ in(X4,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X0)
| in(X3,X2)
| relation_inverse_image(X0,X1) != X2 ),
inference(definition_unfolding,[],[f419,f737]) ).
fof(f794,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK42(X0,X2),X2),unordered_pair(sK42(X0,X2),sK42(X0,X2))),X0)
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(definition_unfolding,[],[f499,f737]) ).
fof(f879,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ in(X4,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X0)
| in(X3,relation_inverse_image(X0,X1)) ),
inference(equality_resolution,[],[f761]) ).
fof(f892,plain,
! [X1] : ~ in(X1,empty_set),
inference(equality_resolution,[],[f436]) ).
fof(f902,plain,
! [X3,X0,X1] :
( ~ in(X3,X0)
| in(X3,set_union2(X0,X1)) ),
inference(equality_resolution,[],[f460]) ).
fof(f921,plain,
! [X2,X0] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK42(X0,X2),X2),unordered_pair(sK42(X0,X2),sK42(X0,X2))),X0)
| ~ in(X2,relation_rng(X0)) ),
inference(equality_resolution,[],[f794]) ).
fof(f960,plain,
! [X3,X0,X1,X4] :
( ~ in(X3,relation_inverse_image(X0,X1))
| in(X4,X1)
| in(unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)),X0)
| ~ relation(X0) ),
inference(consistent_polarity_flipping,[],[f879]) ).
fof(f978,plain,
! [X1] : in(X1,empty_set),
inference(consistent_polarity_flipping,[],[f892]) ).
fof(f979,plain,
! [X0] :
( ~ in(sK19(X0),X0)
| empty_set = X0 ),
inference(consistent_polarity_flipping,[],[f435]) ).
fof(f996,plain,
! [X3,X0,X1] :
( ~ in(X3,set_union2(X0,X1))
| in(X3,X0) ),
inference(consistent_polarity_flipping,[],[f902]) ).
fof(f1040,plain,
! [X2,X0] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(sK42(X0,X2),X2),unordered_pair(sK42(X0,X2),sK42(X0,X2))),X0)
| in(X2,relation_rng(X0)) ),
inference(consistent_polarity_flipping,[],[f921]) ).
fof(f1355,plain,
relation_rng(sK63) = set_union2(sK62,relation_rng(sK63)),
inference(resolution,[],[f611,f631]) ).
fof(f1568,plain,
! [X0] :
( ~ in(X0,relation_rng(sK63))
| in(X0,sK62) ),
inference(superposition,[],[f996,f1355]) ).
fof(f2234,definition,
( spl71_19
<=> ! [X0] : in(X0,sK62) ),
introduced(definition,[new_symbols(definition,[spl71_19])],[avatar_definition]) ).
fof(f2235,plain,
( ! [X0] : in(X0,sK62)
| ~ spl71_19 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f4619,plain,
! [X0,X1] :
( ~ in(X0,empty_set)
| in(X1,sK62)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK63)
| ~ relation(sK63) ),
inference(superposition,[],[f960,f630]) ).
fof(f4620,plain,
! [X0,X1] :
( ~ in(X0,empty_set)
| in(X1,sK62)
| in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK63) ),
inference(forward_subsumption_resolution,[],[f4619,f629]) ).
fof(f4621,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK63)
| in(X1,sK62) ),
inference(forward_subsumption_resolution,[],[f4620,f978]) ).
fof(f5011,plain,
! [X2,X0] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X2,sK42(X0,X2)),unordered_pair(sK42(X0,X2),sK42(X0,X2))),X0)
| in(X2,relation_rng(X0)) ),
inference(forward_demodulation,[],[f1040,f384]) ).
fof(f5035,plain,
! [X0] :
( ~ in(unordered_pair(unordered_pair(X0,sK42(sK63,X0)),unordered_pair(sK42(sK63,X0),sK42(sK63,X0))),sK63)
| in(X0,relation_rng(sK63)) ),
inference(resolution,[],[f5011,f629]) ).
fof(f7846,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X1,X1)),sK63)
| in(X0,sK62) ),
inference(superposition,[],[f4621,f384]) ).
fof(f9795,plain,
( empty_set = sK62
| ~ spl71_19 ),
inference(resolution,[],[f2235,f979]) ).
fof(f9824,plain,
( $false
| ~ spl71_19 ),
inference(forward_subsumption_resolution,[],[f9795,f632]) ).
fof(f9825,plain,
~ spl71_19,
inference(avatar_contradiction_clause,[],[f9824]) ).
fof(f374975,plain,
! [X0] :
( in(X0,sK62)
| in(X0,relation_rng(sK63)) ),
inference(resolution,[],[f7846,f5035]) ).
fof(f375033,plain,
! [X0] : in(X0,sK62),
inference(forward_subsumption_resolution,[],[f374975,f1568]) ).
fof(f375034,plain,
spl71_19,
inference(avatar_split_clause,[],[f375033,f2234]) ).
cnf(s133,plain,
~ spl71_19,
inference(sat_conversion,[],[f9825]) ).
cnf(s3064,plain,
spl71_19,
inference(sat_conversion,[],[f375034]) ).
cnf(s3374,plain,
$false,
inference(rat,[],[s133,s3064]) ).
fof(f375035,plain,
$false,
inference(avatar_sat_refutation,[],[s3374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU210+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % 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 04:09:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 15.93/2.89 % (6993)Will run a generic schedule for satisfiability detection.
% 15.93/2.89 % (6999)% WARNING: option uhcvi not known.
% 15.93/2.89 % (6999)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4073434670:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.93/2.89 % (6998)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2949707224_2999 on theBenchmark for (2999ds/0Mi)
% 15.93/2.89 % (7000)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=951848601:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.93/2.89 % (7001)dis+10_1_sil=32000:sp=arity:random_seed=287895704:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.93/2.89 % (7002)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1476143527:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.93/2.89 % (7004)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2345005842:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.93/2.89 % (7003)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=213542899:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.93/2.89 % TRYING [1]
% 15.93/2.89 % TRYING [2]
% 15.93/2.89 % (7003)Instruction limit reached!
% 15.93/2.89 % (7003)------------------------------
% 15.93/2.89 % (7003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.93/2.89 % (7003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.93/2.89 % (7003)CaDiCaL version: 2.1.3
% 15.93/2.89 % (7003)Termination reason: Instruction limit
% 15.93/2.89 % (7003)Termination phase: Saturation
% 15.93/2.89 % (7003)Time elapsed: 0.066 s
% 15.93/2.89 % (7003)Peak memory usage: 13 MB
% 15.93/2.89 % (7003)Instructions burned: 131 (million)
% 15.93/2.89 % (7001)Instruction limit reached!
% 15.93/2.89 % (7001)------------------------------
% 15.93/2.89 % (7001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.93/2.89 % (7001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.93/2.89 % (7001)CaDiCaL version: 2.1.3
% 15.93/2.89 % (7001)Termination reason: Instruction limit
% 15.93/2.89 % (7001)Termination phase: Saturation
% 15.93/2.89 % (7001)Time elapsed: 0.068 s
% 15.93/2.89 % (7001)Peak memory usage: 13 MB
% 15.93/2.89 % (7001)Instructions burned: 103 (million)
% 15.93/2.89 % TRYING [3]
% 15.93/2.89 % (7002)Instruction limit reached!
% 15.93/2.89 % (7002)------------------------------
% 15.93/2.89 % (7002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.93/2.89 % (7002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.93/2.89 % (7002)CaDiCaL version: 2.1.3
% 15.93/2.89 % (7002)Termination reason: Instruction limit
% 15.93/2.89 % (7002)Termination phase: Saturation
% 15.93/2.89 % (7002)Time elapsed: 0.071 s
% 15.93/2.89 % (7002)Peak memory usage: 13 MB
% 15.93/2.89 % (7002)Instructions burned: 117 (million)
% 15.93/2.89 % (7014)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=3145627578:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.93/2.89 % (7012)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1484166413:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 15.93/2.89 % (7013)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3091394415:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.93/2.89 % (7004)Instruction limit reached!
% 15.93/2.89 % (7004)------------------------------
% 15.93/2.89 % (7004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.93/2.89 % (7004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.93/2.89 % (7004)CaDiCaL version: 2.1.3
% 15.93/2.89 % (7004)Termination reason: Instruction limit
% 15.93/2.89 % (7004)Termination phase: Saturation
% 15.93/2.89 % (7004)Time elapsed: 0.110 s
% 15.93/2.89 % (7004)Peak memory usage: 14 MB
% 15.93/2.89 % (7004)Instructions burned: 160 (million)
% 15.93/2.89 % TRYING [1]
% 15.93/2.89 % TRYING [2]
% 15.93/2.89 % (7018)ott-21_1_sil=16000:fs=off:random_seed=480225385:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.93/2.89 % TRYING [3]
% 15.93/2.89 % (7013)Instruction limit reached!
% 15.93/2.89 % (7013)------------------------------
% 15.93/2.89 % (7013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.93/2.89 % (7013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.93/2.89 % (7013)CaDiCaL version: 2.1.3
% 15.93/2.89 % (7013)Termination reason: Instruction limit
% 15.93/2.89 % (7013)Termination phase: Saturation
% 58.65/8.80 % (7013)Time elapsed: 0.070 s
% 58.65/8.80 % (7013)Peak memory usage: 13 MB
% 58.65/8.80 % (7013)Instructions burned: 132 (million)
% 58.65/8.80 % (7020)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2185681081:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 58.65/8.80 % TRYING [4]
% 58.65/8.80 % (7018)Instruction limit reached!
% 58.65/8.80 % (7018)------------------------------
% 58.65/8.80 % (7018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.65/8.80 % (7018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.65/8.80 % (7018)CaDiCaL version: 2.1.3
% 58.65/8.80 % (7018)Termination reason: Instruction limit
% 58.65/8.80 % (7018)Termination phase: Saturation
% 58.65/8.80 % (7018)Time elapsed: 0.102 s
% 58.65/8.80 % (7018)Peak memory usage: 13 MB
% 58.65/8.80 % (7018)Instructions burned: 181 (million)
% 58.65/8.80 % (7022)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3426720834:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 58.65/8.80 % TRYING [4]
% 58.65/8.80 % TRYING [1]
% 58.65/8.80 % TRYING [2]
% 58.65/8.80 % TRYING [3]
% 58.65/8.80 % (7012)Instruction limit reached!
% 58.65/8.80 % (7012)------------------------------
% 58.65/8.80 % (7012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.65/8.80 % (7012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.65/8.80 % (7012)CaDiCaL version: 2.1.3
% 58.65/8.80 % (7012)Termination reason: Instruction limit
% 58.65/8.80 % (7012)Termination phase: Finite model building constraint generation
% 58.65/8.80 % (7012)Time elapsed: 0.273 s
% 58.65/8.80 % (7012)Peak memory usage: 38 MB
% 58.65/8.80 % (7012)Instructions burned: 716 (million)
% 58.65/8.80 % (7024)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=313058699:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 58.65/8.80 % (7014)Instruction limit reached!
% 58.65/8.80 % (7014)------------------------------
% 58.65/8.80 % (7014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.65/8.80 % (7014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.65/8.80 % (7014)CaDiCaL version: 2.1.3
% 58.65/8.80 % (7014)Termination reason: Instruction limit
% 58.65/8.80 % (7014)Termination phase: Saturation
% 58.65/8.80 % (7014)Time elapsed: 0.401 s
% 58.65/8.80 % (7014)Peak memory usage: 16 MB
% 58.65/8.80 % (7014)Instructions burned: 686 (million)
% 58.65/8.80 % (7026)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=284156217:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 58.65/8.80 % (7020)Instruction limit reached!
% 58.65/8.80 % (7020)------------------------------
% 58.65/8.80 % (7020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.65/8.80 % (7020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.65/8.80 % (7020)CaDiCaL version: 2.1.3
% 58.65/8.80 % (7020)Termination reason: Instruction limit
% 58.65/8.80 % (7020)Termination phase: Saturation
% 58.65/8.80 % (7020)Time elapsed: 0.339 s
% 58.65/8.80 % (7020)Peak memory usage: 14 MB
% 58.65/8.80 % (7020)Instructions burned: 478 (million)
% 58.65/8.80 % (7028)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=2510618530: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)
% 58.65/8.80 % (7022)Instruction limit reached!
% 58.65/8.80 % (7022)------------------------------
% 58.65/8.80 % (7022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.65/8.80 % (7022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.65/8.80 % (7022)CaDiCaL version: 2.1.3
% 58.65/8.80 % (7022)Termination reason: Instruction limit
% 58.65/8.80 % (7022)Termination phase: Finite model building SAT solving
% 58.65/8.80 % (7022)Time elapsed: 0.399 s
% 58.65/8.80 % (7022)Peak memory usage: 33 MB
% 58.65/8.80 % (7022)Instructions burned: 865 (million)
% 58.65/8.80 % (7030)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3225959445:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 58.65/8.80 % TRYING [5]
% 58.65/8.80 % (7026)Instruction limit reached!
% 58.65/8.80 % (7026)------------------------------
% 58.65/8.80 % (7026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.65/8.80 % (7026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.65/8.80 % (7026)CaDiCaL version: 2.1.3
% 58.65/8.80 % (7026)Termination reason: Instruction limit
% 58.65/8.80 % (7026)Termination phase: Finite model building constraint generation
% 58.65/8.80 % (7026)Time elapsed: 0.425 s
% 58.65/8.80 % (7026)Peak memory usage: 110 MB
% 51.43/9.02 % (7026)Instructions burned: 890 (million)
% 51.43/9.02 % (7032)fmb+10_1_sil=64000:random_seed=740762936:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 51.43/9.02 % (7028)Instruction limit reached!
% 51.43/9.02 % (7028)------------------------------
% 51.43/9.02 % (7028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7028)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7028)Termination reason: Instruction limit
% 51.43/9.02 % (7028)Termination phase: Saturation
% 51.43/9.02 % (7028)Time elapsed: 0.463 s
% 51.43/9.02 % (7028)Peak memory usage: 20 MB
% 51.43/9.02 % (7028)Instructions burned: 692 (million)
% 51.43/9.02 % TRYING [1]
% 51.43/9.02 % TRYING [2]
% 51.43/9.02 % (7034)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1363970040:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 51.43/9.02 % TRYING [3]
% 51.43/9.02 % TRYING [20]
% 51.43/9.02 % (7024)Instruction limit reached!
% 51.43/9.02 % (7024)------------------------------
% 51.43/9.02 % (7024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7024)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7024)Termination reason: Instruction limit
% 51.43/9.02 % (7024)Termination phase: Saturation
% 51.43/9.02 % (7024)Time elapsed: 0.726 s
% 51.43/9.02 % (7024)Peak memory usage: 25 MB
% 51.43/9.02 % (7024)Instructions burned: 1180 (million)
% 51.43/9.02 % (7036)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=400062405:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 51.43/9.02 % (7030)Instruction limit reached!
% 51.43/9.02 % (7030)------------------------------
% 51.43/9.02 % (7030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7030)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7030)Termination reason: Instruction limit
% 51.43/9.02 % (7030)Termination phase: Saturation
% 51.43/9.02 % (7030)Time elapsed: 0.498 s
% 51.43/9.02 % (7030)Peak memory usage: 21 MB
% 51.43/9.02 % (7030)Instructions burned: 879 (million)
% 51.43/9.02 % TRYING [8]
% 51.43/9.02 % (7038)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4205930570:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 51.43/9.02 % TRYING [4]
% 51.43/9.02 % (7036)Instruction limit reached!
% 51.43/9.02 % (7036)------------------------------
% 51.43/9.02 % (7036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7036)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7036)Termination reason: Instruction limit
% 51.43/9.02 % (7036)Termination phase: Finite model building constraint generation
% 51.43/9.02 % (7036)Time elapsed: 0.323 s
% 51.43/9.02 % (7036)Peak memory usage: 60 MB
% 51.43/9.02 % (7036)Instructions burned: 921 (million)
% 51.43/9.02 % (7040)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1095870867:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 51.43/9.02 % (7040)Instruction limit reached!
% 51.43/9.02 % (7040)------------------------------
% 51.43/9.02 % (7040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7040)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7040)Termination reason: Instruction limit
% 51.43/9.02 % (7040)Termination phase: Saturation
% 51.43/9.02 % (7040)Time elapsed: 0.843 s
% 51.43/9.02 % (7040)Peak memory usage: 31 MB
% 51.43/9.02 % (7040)Instructions burned: 1472 (million)
% 51.43/9.02 % (7042)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1350104570:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 51.43/9.02 % (7042)Cannot represent all propositional literals internally
% 51.43/9.02 % (7042)Refutation not found, incomplete strategy
% 51.43/9.02 % (7042)------------------------------
% 51.43/9.02 % (7042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7042)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7042)Termination reason: Refutation not found, incomplete strategy
% 51.43/9.02 % (7042)Time elapsed: 0.044 s
% 51.43/9.02 % (7042)Peak memory usage: 13 MB
% 51.43/9.02 % (7042)Instructions burned: 88 (million)
% 51.43/9.02 % (7042)------------------------------
% 51.43/9.02 % (7042)------------------------------
% 51.43/9.02 % (7044)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1868513131:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 51.43/9.02 % TRYING [5]
% 51.43/9.02 % TRYING [16]
% 51.43/9.02 % TRYING [6]
% 51.43/9.02 % (7044)Instruction limit reached!
% 51.43/9.02 % (7044)------------------------------
% 51.43/9.02 % (7044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7044)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7044)Termination reason: Instruction limit
% 51.43/9.02 % (7044)Termination phase: Finite model building constraint generation
% 51.43/9.02 % (7044)Time elapsed: 0.825 s
% 51.43/9.02 % (7044)Peak memory usage: 116 MB
% 51.43/9.02 % (7044)Instructions burned: 2177 (million)
% 51.43/9.02 % (7046)ott-2_1_sil=16000:newcnf=on:random_seed=2823021039:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2967 on theBenchmark for (2967ds/869Mi)
% 51.43/9.02 % (7046)Instruction limit reached!
% 51.43/9.02 % (7046)------------------------------
% 51.43/9.02 % (7046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7046)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7046)Termination reason: Instruction limit
% 51.43/9.02 % (7046)Termination phase: Saturation
% 51.43/9.02 % (7046)Time elapsed: 0.550 s
% 51.43/9.02 % (7046)Peak memory usage: 21 MB
% 51.43/9.02 % (7046)Instructions burned: 869 (million)
% 51.43/9.02 % (7048)ott+10_1_sil=32000:tgt=ground:random_seed=4218708931:i=5114:av=off_2961 on theBenchmark for (2961ds/5114Mi)
% 51.43/9.02 % (7038)Instruction limit reached!
% 51.43/9.02 % (7038)------------------------------
% 51.43/9.02 % (7038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7038)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7038)Termination reason: Instruction limit
% 51.43/9.02 % (7038)Termination phase: Saturation
% 51.43/9.02 % (7038)Time elapsed: 2.959 s
% 51.43/9.02 % (7038)Peak memory usage: 44 MB
% 51.43/9.02 % (7038)Instructions burned: 5132 (million)
% 51.43/9.02 % (7050)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2955262912:i=54282_2958 on theBenchmark for (2958ds/54282Mi)
% 51.43/9.02 % TRYING [1]
% 51.43/9.02 % TRYING [2]
% 51.43/9.02 % TRYING [3]
% 51.43/9.02 % TRYING [4]
% 51.43/9.02 % (7034)Instruction limit reached!
% 51.43/9.02 % (7034)------------------------------
% 51.43/9.02 % (7034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7034)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7034)Termination reason: Instruction limit
% 51.43/9.02 % (7034)Termination phase: Finite model building constraint generation
% 51.43/9.02 % (7034)Time elapsed: 3.497 s
% 51.43/9.02 % (7034)Peak memory usage: 646 MB
% 51.43/9.02 % (7034)Instructions burned: 9516 (million)
% 51.43/9.02 % (7052)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=386387219:i=3512:aac=none_2953 on theBenchmark for (2953ds/3512Mi)
% 51.43/9.02 % TRYING [5]
% 51.43/9.02 % TRYING [6]
% 51.43/9.02 % (7052)Instruction limit reached!
% 51.43/9.02 % (7052)------------------------------
% 51.43/9.02 % (7052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7052)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7052)Termination reason: Instruction limit
% 51.43/9.02 % (7052)Termination phase: Saturation
% 51.43/9.02 % (7052)Time elapsed: 2.091 s
% 51.43/9.02 % (7052)Peak memory usage: 34 MB
% 51.43/9.02 % (7052)Instructions burned: 3514 (million)
% 51.43/9.02 % (7054)dis+21_1_sil=32000:sas=cadical:random_seed=1049108657:i=3773:amm=off_2932 on theBenchmark for (2932ds/3773Mi)
% 51.43/9.02 % (7048)Instruction limit reached!
% 51.43/9.02 % (7048)------------------------------
% 51.43/9.02 % (7048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7048)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7048)Termination reason: Instruction limit
% 51.43/9.02 % (7048)Termination phase: Saturation
% 51.43/9.02 % (7048)Time elapsed: 3.247 s
% 51.43/9.02 % (7048)Peak memory usage: 63 MB
% 51.43/9.02 % (7048)Instructions burned: 5115 (million)
% 51.43/9.02 % TRYING [6]
% 51.43/9.02 % (7056)ott+11_1_sil=16000:gs=on:random_seed=4186135120:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2928 on theBenchmark for (2928ds/2251Mi)
% 51.43/9.02 % (7056)Instruction limit reached!
% 51.43/9.02 % (7056)------------------------------
% 51.43/9.02 % (7056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (7056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (7056)CaDiCaL version: 2.1.3
% 51.43/9.02 % (7056)Termination reason: Instruction limit
% 51.43/9.02 % (7056)Termination phase: Saturation
% 51.43/9.02 % (7056)Time elapsed: 1.203 s
% 51.43/9.02 % (7056)Peak memory usage: 26 MB
% 51.43/9.02 % (7056)Instructions burned: 2253 (million)
% 51.43/9.02 % (7058)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1194764672:fmbsr=1.6:i=67534_2916 on theBenchmark for (2916ds/67534Mi)
% 51.43/9.02 % (6999) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-6993-6999"...
% 51.43/9.02 % (6999)...printing done.
% 51.43/9.02 % (6999)Refutation found. Thanks to Tanya!
% 51.43/9.02 % SZS status Theorem for theBenchmark
% 51.43/9.02 % SZS output start Proof for theBenchmark
% See solution above
% 51.43/9.02 % (6999)------------------------------
% 51.43/9.02 % (6999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.43/9.02 % (6999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.43/9.02 % (6999)CaDiCaL version: 2.1.3
% 51.43/9.02 % (6999)Termination reason: Refutation
% 51.43/9.02 % (6999)Time elapsed: 8.433 s
% 51.43/9.02 % (6999)Peak memory usage: 151 MB
% 51.43/9.02 % (6999)Instructions burned: 27368 (million)
% 51.43/9.02 % (6993)Success in time 8.591 s
% 51.43/9.02 % Vampire exiting
%------------------------------------------------------------------------------