%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU012+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:51:47 PM UTC 2026
% Result : Theorem 29.84s 4.76s
% Output : Refutation 29.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of formulae : 70 ( 14 unt; 2 def)
% Number of atoms : 236 ( 72 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 278 ( 112 ~; 115 |; 28 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 57 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f30,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f32,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f34,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0 )
=> X1 = identity_relation(relation_dom(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_funct_1) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0 )
=> X1 = identity_relation(relation_dom(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f48]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f66]) ).
fof(f70,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f71,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f70]) ).
fof(f73,plain,
? [X0] :
( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0
& relation(X1)
& function(X1) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f74,plain,
? [X0] :
( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0
& relation(X1)
& function(X1) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f73]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| apply(X0,sK1(X0,X2)) = X2
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| in(sK1(X0,X2),relation_dom(X0))
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X1))
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X1)
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f130,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| in(sK12(X0,X1),X0)
| relation_dom(X1) != X0
| identity_relation(X0) = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f131,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| sK12(X0,X1) != apply(X1,sK12(X0,X1))
| relation_dom(X1) != X0
| identity_relation(X0) = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f135,plain,
function(sK14),
inference(cnf_transformation,[],[f74]) ).
fof(f136,plain,
relation(sK14),
inference(cnf_transformation,[],[f74]) ).
fof(f137,plain,
sK13 = relation_composition(sK13,sK14),
inference(cnf_transformation,[],[f74]) ).
fof(f138,plain,
relation_rng(sK13) = relation_dom(sK14),
inference(cnf_transformation,[],[f74]) ).
fof(f139,plain,
sK14 != identity_relation(relation_dom(sK14)),
inference(cnf_transformation,[],[f74]) ).
fof(f140,plain,
function(sK13),
inference(cnf_transformation,[],[f74]) ).
fof(f141,plain,
relation(sK13),
inference(cnf_transformation,[],[f74]) ).
fof(f149,plain,
! [X2,X0] :
( in(sK1(X0,X2),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ in(X2,relation_rng(X0)) ),
inference(equality_resolution,[],[f88]) ).
fof(f150,plain,
! [X2,X0] :
( ~ in(X2,relation_rng(X0))
| ~ relation(X0)
| apply(X0,sK1(X0,X2)) = X2
| ~ function(X0) ),
inference(equality_resolution,[],[f87]) ).
fof(f153,plain,
! [X1] :
( sK12(relation_dom(X1),X1) != apply(X1,sK12(relation_dom(X1),X1))
| ~ relation(X1)
| ~ function(X1)
| identity_relation(relation_dom(X1)) = X1 ),
inference(equality_resolution,[],[f131]) ).
fof(f154,plain,
! [X1] :
( in(sK12(relation_dom(X1),X1),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| identity_relation(relation_dom(X1)) = X1 ),
inference(equality_resolution,[],[f130]) ).
fof(f596,plain,
! [X0] :
( ~ in(X0,relation_dom(sK14))
| ~ relation(sK13)
| apply(sK13,sK1(sK13,X0)) = X0
| ~ function(sK13) ),
inference(superposition,[],[f150,f138]) ).
fof(f599,plain,
! [X0] :
( ~ in(X0,relation_dom(sK14))
| apply(sK13,sK1(sK13,X0)) = X0
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f596,f141]) ).
fof(f600,plain,
! [X0] :
( ~ in(X0,relation_dom(sK14))
| apply(sK13,sK1(sK13,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f599,f140]) ).
fof(f1107,plain,
( ~ relation(sK14)
| ~ function(sK14)
| sK14 = identity_relation(relation_dom(sK14))
| sK12(relation_dom(sK14),sK14) = apply(sK13,sK1(sK13,sK12(relation_dom(sK14),sK14))) ),
inference(resolution,[],[f154,f600]) ).
fof(f1128,plain,
( ~ function(sK14)
| sK14 = identity_relation(relation_dom(sK14))
| sK12(relation_dom(sK14),sK14) = apply(sK13,sK1(sK13,sK12(relation_dom(sK14),sK14))) ),
inference(forward_subsumption_resolution,[],[f1107,f136]) ).
fof(f1138,plain,
( sK14 = identity_relation(relation_dom(sK14))
| sK12(relation_dom(sK14),sK14) = apply(sK13,sK1(sK13,sK12(relation_dom(sK14),sK14))) ),
inference(forward_subsumption_resolution,[],[f1128,f135]) ).
fof(f1147,plain,
sK12(relation_dom(sK14),sK14) = apply(sK13,sK1(sK13,sK12(relation_dom(sK14),sK14))),
inference(forward_subsumption_resolution,[],[f1138,f139]) ).
fof(f1254,definition,
( spl15_26
<=> in(sK1(sK13,sK12(relation_dom(sK14),sK14)),relation_dom(sK13)) ),
introduced(definition,[new_symbols(definition,[spl15_26])],[avatar_definition]) ).
fof(f1255,plain,
( in(sK1(sK13,sK12(relation_dom(sK14),sK14)),relation_dom(sK13))
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f1256,plain,
( ~ in(sK1(sK13,sK12(relation_dom(sK14),sK14)),relation_dom(sK13))
| spl15_26 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f1258,definition,
( spl15_27
<=> in(sK12(relation_dom(sK14),sK14),relation_dom(sK14)) ),
introduced(definition,[new_symbols(definition,[spl15_27])],[avatar_definition]) ).
fof(f1259,plain,
( ~ in(sK12(relation_dom(sK14),sK14),relation_dom(sK14))
| spl15_27 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1273,plain,
( ~ relation(sK13)
| ~ function(sK13)
| ~ in(sK12(relation_dom(sK14),sK14),relation_rng(sK13))
| spl15_26 ),
inference(resolution,[],[f1256,f149]) ).
fof(f1274,plain,
( ~ function(sK13)
| ~ in(sK12(relation_dom(sK14),sK14),relation_rng(sK13))
| spl15_26 ),
inference(forward_subsumption_resolution,[],[f1273,f141]) ).
fof(f1275,plain,
( ~ in(sK12(relation_dom(sK14),sK14),relation_rng(sK13))
| spl15_26 ),
inference(forward_subsumption_resolution,[],[f1274,f140]) ).
fof(f1276,plain,
( ~ in(sK12(relation_dom(sK14),sK14),relation_dom(sK14))
| spl15_26 ),
inference(forward_demodulation,[],[f1275,f138]) ).
fof(f1277,plain,
( ~ spl15_27
| spl15_26 ),
inference(avatar_split_clause,[],[f1276,f1254,f1258]) ).
fof(f1278,plain,
( ~ relation(sK14)
| ~ function(sK14)
| sK14 = identity_relation(relation_dom(sK14))
| spl15_27 ),
inference(resolution,[],[f1259,f154]) ).
fof(f1279,plain,
( ~ function(sK14)
| sK14 = identity_relation(relation_dom(sK14))
| spl15_27 ),
inference(forward_subsumption_resolution,[],[f1278,f136]) ).
fof(f1280,plain,
( sK14 = identity_relation(relation_dom(sK14))
| spl15_27 ),
inference(forward_subsumption_resolution,[],[f1279,f135]) ).
fof(f1281,plain,
( $false
| spl15_27 ),
inference(forward_subsumption_resolution,[],[f1280,f139]) ).
fof(f1282,plain,
spl15_27,
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f2301,plain,
( ! [X0] :
( ~ function(X0)
| ~ relation(sK13)
| ~ relation(X0)
| ~ function(sK13)
| apply(relation_composition(sK13,X0),sK1(sK13,sK12(relation_dom(sK14),sK14))) = apply(X0,apply(sK13,sK1(sK13,sK12(relation_dom(sK14),sK14)))) )
| ~ spl15_26 ),
inference(resolution,[],[f128,f1255]) ).
fof(f2329,plain,
( ! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ function(sK13)
| apply(relation_composition(sK13,X0),sK1(sK13,sK12(relation_dom(sK14),sK14))) = apply(X0,apply(sK13,sK1(sK13,sK12(relation_dom(sK14),sK14)))) )
| ~ spl15_26 ),
inference(forward_subsumption_resolution,[],[f2301,f141]) ).
fof(f2349,plain,
( ! [X0] :
( ~ function(X0)
| ~ relation(X0)
| apply(relation_composition(sK13,X0),sK1(sK13,sK12(relation_dom(sK14),sK14))) = apply(X0,apply(sK13,sK1(sK13,sK12(relation_dom(sK14),sK14)))) )
| ~ spl15_26 ),
inference(forward_subsumption_resolution,[],[f2329,f140]) ).
fof(f2365,plain,
( ! [X0] :
( ~ function(X0)
| apply(relation_composition(sK13,X0),sK1(sK13,sK12(relation_dom(sK14),sK14))) = apply(X0,sK12(relation_dom(sK14),sK14))
| ~ relation(X0) )
| ~ spl15_26 ),
inference(forward_demodulation,[],[f2349,f1147]) ).
fof(f2438,plain,
( apply(sK14,sK12(relation_dom(sK14),sK14)) = apply(relation_composition(sK13,sK14),sK1(sK13,sK12(relation_dom(sK14),sK14)))
| ~ relation(sK14)
| ~ spl15_26 ),
inference(resolution,[],[f2365,f135]) ).
fof(f2439,plain,
( apply(sK14,sK12(relation_dom(sK14),sK14)) = apply(relation_composition(sK13,sK14),sK1(sK13,sK12(relation_dom(sK14),sK14)))
| ~ spl15_26 ),
inference(forward_subsumption_resolution,[],[f2438,f136]) ).
fof(f2446,plain,
( apply(sK13,sK1(sK13,sK12(relation_dom(sK14),sK14))) = apply(sK14,sK12(relation_dom(sK14),sK14))
| ~ spl15_26 ),
inference(forward_demodulation,[],[f2439,f137]) ).
fof(f2447,plain,
( sK12(relation_dom(sK14),sK14) = apply(sK14,sK12(relation_dom(sK14),sK14))
| ~ spl15_26 ),
inference(forward_demodulation,[],[f2446,f1147]) ).
fof(f2522,plain,
( sK12(relation_dom(sK14),sK14) != sK12(relation_dom(sK14),sK14)
| ~ relation(sK14)
| ~ function(sK14)
| sK14 = identity_relation(relation_dom(sK14))
| ~ spl15_26 ),
inference(superposition,[],[f153,f2447]) ).
fof(f2524,plain,
( ~ relation(sK14)
| ~ function(sK14)
| sK14 = identity_relation(relation_dom(sK14))
| ~ spl15_26 ),
inference(trivial_inequality_removal,[],[f2522]) ).
fof(f2526,plain,
( ~ function(sK14)
| sK14 = identity_relation(relation_dom(sK14))
| ~ spl15_26 ),
inference(forward_subsumption_resolution,[],[f2524,f136]) ).
fof(f2528,plain,
( sK14 = identity_relation(relation_dom(sK14))
| ~ spl15_26 ),
inference(forward_subsumption_resolution,[],[f2526,f135]) ).
fof(f2530,plain,
( $false
| ~ spl15_26 ),
inference(forward_subsumption_resolution,[],[f2528,f139]) ).
fof(f2531,plain,
~ spl15_26,
inference(avatar_contradiction_clause,[],[f2530]) ).
cnf(s52,plain,
( spl15_26
| ~ spl15_27 ),
inference(sat_conversion,[],[f1277]) ).
cnf(s53,plain,
spl15_27,
inference(sat_conversion,[],[f1282]) ).
cnf(s142,plain,
~ spl15_26,
inference(sat_conversion,[],[f2531]) ).
cnf(s143,plain,
$false,
inference(rat,[],[s52,s53,s142]) ).
fof(f2532,plain,
$false,
inference(avatar_sat_refutation,[],[s143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU012+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n009.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:22:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 16.07/2.76 % (2633881)Will run a generic schedule for satisfiability detection.
% 16.07/2.76 % (2633891)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2351605024:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.07/2.76 % (2633887)% WARNING: option uhcvi not known.
% 16.07/2.76 % (2633886)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2380541831_2999 on theBenchmark for (2999ds/0Mi)
% 16.07/2.76 % (2633887)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4053572224:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.07/2.76 % (2633888)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4216161052:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.07/2.76 % (2633889)dis+10_1_sil=32000:sp=arity:random_seed=3068408119:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.07/2.76 % (2633890)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4010874396:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.07/2.76 % (2633892)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1051908252:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.07/2.76 % TRYING [1]
% 16.07/2.76 % TRYING [2]
% 16.07/2.76 % TRYING [3]
% 16.07/2.76 % TRYING [4]
% 16.07/2.76 % TRYING [5]
% 16.07/2.76 % (2633891)Instruction limit reached!
% 16.07/2.76 % (2633891)------------------------------
% 16.07/2.76 % (2633891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.76 % (2633891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.76 % (2633891)CaDiCaL version: 2.1.3
% 16.07/2.76 % (2633891)Termination reason: Instruction limit
% 16.07/2.76 % (2633891)Termination phase: Saturation
% 16.07/2.76 % (2633891)Time elapsed: 0.043 s
% 16.07/2.76 % (2633891)Peak memory usage: 13 MB
% 16.07/2.76 % (2633891)Instructions burned: 133 (million)
% 16.07/2.76 % TRYING [6]
% 16.07/2.76 % (2633900)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4014877341:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.07/2.76 % TRYING [1]
% 16.07/2.76 % TRYING [2]
% 16.07/2.76 % TRYING [3]
% 16.07/2.76 % (2633889)Instruction limit reached!
% 16.07/2.76 % (2633889)------------------------------
% 16.07/2.76 % (2633889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.76 % (2633889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.76 % (2633889)CaDiCaL version: 2.1.3
% 16.07/2.76 % (2633889)Termination reason: Instruction limit
% 16.07/2.76 % (2633889)Termination phase: Saturation
% 16.07/2.76 % (2633889)Time elapsed: 0.061 s
% 16.07/2.76 % (2633889)Peak memory usage: 12 MB
% 16.07/2.76 % (2633889)Instructions burned: 104 (million)
% 16.07/2.76 % TRYING [4]
% 16.07/2.76 % (2633890)Instruction limit reached!
% 16.07/2.76 % (2633890)------------------------------
% 16.07/2.76 % (2633890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.76 % (2633890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.76 % (2633890)CaDiCaL version: 2.1.3
% 16.07/2.76 % (2633890)Termination reason: Instruction limit
% 16.07/2.76 % (2633890)Termination phase: Saturation
% 16.07/2.76 % (2633890)Time elapsed: 0.070 s
% 16.07/2.76 % (2633890)Peak memory usage: 13 MB
% 16.07/2.76 % (2633890)Instructions burned: 116 (million)
% 16.07/2.76 % TRYING [5]
% 16.07/2.76 % (2633902)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3413041470:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.07/2.76 % (2633903)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=3082406662:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.07/2.76 % TRYING [6]
% 16.07/2.76 % (2633892)Instruction limit reached!
% 16.07/2.76 % (2633892)------------------------------
% 16.07/2.76 % (2633892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.76 % (2633892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.76 % (2633892)CaDiCaL version: 2.1.3
% 16.07/2.76 % (2633892)Termination reason: Instruction limit
% 16.07/2.76 % (2633892)Termination phase: Saturation
% 16.07/2.76 % (2633892)Time elapsed: 0.101 s
% 16.07/2.76 % (2633892)Peak memory usage: 14 MB
% 16.07/2.76 % (2633892)Instructions burned: 160 (million)
% 16.07/2.76 % TRYING [7]
% 16.07/2.76 % (2633906)ott-21_1_sil=16000:fs=off:random_seed=1736409085:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.07/2.76 % TRYING [7]
% 16.07/2.76 % (2633902)Instruction limit reached!
% 16.07/2.76 % (2633902)------------------------------
% 16.07/2.76 % (2633902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633902)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633902)Termination reason: Instruction limit
% 29.84/4.76 % (2633902)Termination phase: Saturation
% 29.84/4.76 % (2633902)Time elapsed: 0.082 s
% 29.84/4.76 % (2633902)Peak memory usage: 13 MB
% 29.84/4.76 % (2633902)Instructions burned: 132 (million)
% 29.84/4.76 % (2633908)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=349775958:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 29.84/4.76 % (2633906)Instruction limit reached!
% 29.84/4.76 % (2633906)------------------------------
% 29.84/4.76 % (2633906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633906)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633906)Termination reason: Instruction limit
% 29.84/4.76 % (2633906)Termination phase: Saturation
% 29.84/4.76 % (2633906)Time elapsed: 0.088 s
% 29.84/4.76 % (2633906)Peak memory usage: 12 MB
% 29.84/4.76 % (2633906)Instructions burned: 182 (million)
% 29.84/4.76 % (2633910)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2271563557:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 29.84/4.76 % TRYING [1]
% 29.84/4.76 % TRYING [2]
% 29.84/4.76 % TRYING [3]
% 29.84/4.76 % TRYING [4]
% 29.84/4.76 % (2633900)Instruction limit reached!
% 29.84/4.76 % (2633900)------------------------------
% 29.84/4.76 % (2633900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633900)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633900)Termination reason: Instruction limit
% 29.84/4.76 % (2633900)Termination phase: Finite model building SAT solving
% 29.84/4.76 % (2633900)Time elapsed: 0.197 s
% 29.84/4.76 % (2633900)Peak memory usage: 26 MB
% 29.84/4.76 % (2633900)Instructions burned: 716 (million)
% 29.84/4.76 % (2633912)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1606758088:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 29.84/4.76 % TRYING [5]
% 29.84/4.76 % TRYING [6]
% 29.84/4.76 % TRYING [8]
% 29.84/4.76 % (2633903)Instruction limit reached!
% 29.84/4.76 % (2633903)------------------------------
% 29.84/4.76 % (2633903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633903)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633903)Termination reason: Instruction limit
% 29.84/4.76 % (2633903)Termination phase: Saturation
% 29.84/4.76 % (2633903)Time elapsed: 0.329 s
% 29.84/4.76 % (2633903)Peak memory usage: 18 MB
% 29.84/4.76 % (2633903)Instructions burned: 684 (million)
% 29.84/4.76 % (2633914)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1120579847:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 29.84/4.76 % TRYING [7]
% 29.84/4.76 % TRYING [14]
% 29.84/4.76 % (2633908)Instruction limit reached!
% 29.84/4.76 % (2633908)------------------------------
% 29.84/4.76 % (2633908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633908)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633908)Termination reason: Instruction limit
% 29.84/4.76 % (2633908)Termination phase: Saturation
% 29.84/4.76 % (2633908)Time elapsed: 0.317 s
% 29.84/4.76 % (2633908)Peak memory usage: 14 MB
% 29.84/4.76 % (2633908)Instructions burned: 477 (million)
% 29.84/4.76 % (2633916)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=2917084463: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)
% 29.84/4.76 % (2633910)Instruction limit reached!
% 29.84/4.76 % (2633910)------------------------------
% 29.84/4.76 % (2633910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633910)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633910)Termination reason: Instruction limit
% 29.84/4.76 % (2633910)Termination phase: Finite model building SAT solving
% 29.84/4.76 % (2633910)Time elapsed: 0.312 s
% 29.84/4.76 % (2633910)Peak memory usage: 21 MB
% 29.84/4.76 % (2633910)Instructions burned: 866 (million)
% 29.84/4.76 % (2633918)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=34322475:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 29.84/4.76 % (2633912)Instruction limit reached!
% 29.84/4.76 % (2633912)------------------------------
% 29.84/4.76 % (2633912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633912)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633912)Termination reason: Instruction limit
% 29.84/4.76 % (2633912)Termination phase: Saturation
% 29.84/4.76 % (2633912)Time elapsed: 0.346 s
% 29.84/4.76 % (2633912)Peak memory usage: 24 MB
% 29.84/4.76 % (2633912)Instructions burned: 1181 (million)
% 29.84/4.76 % (2633920)fmb+10_1_sil=64000:random_seed=480385598:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 29.84/4.76 % TRYING [1]
% 29.84/4.76 % TRYING [2]
% 29.84/4.76 % TRYING [3]
% 29.84/4.76 % TRYING [4]
% 29.84/4.76 % TRYING [5]
% 29.84/4.76 % TRYING [6]
% 29.84/4.76 % TRYING [7]
% 29.84/4.76 % (2633914)Instruction limit reached!
% 29.84/4.76 % (2633914)------------------------------
% 29.84/4.76 % (2633914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633914)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633914)Termination reason: Instruction limit
% 29.84/4.76 % (2633914)Termination phase: Finite model building constraint generation
% 29.84/4.76 % (2633914)Time elapsed: 0.294 s
% 29.84/4.76 % (2633914)Peak memory usage: 60 MB
% 29.84/4.76 % (2633914)Instructions burned: 893 (million)
% 29.84/4.76 % (2633922)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2549233470:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 29.84/4.76 % TRYING [20]
% 29.84/4.76 % TRYING [8]
% 29.84/4.76 % (2633916)Instruction limit reached!
% 29.84/4.76 % (2633916)------------------------------
% 29.84/4.76 % (2633916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633916)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633916)Termination reason: Instruction limit
% 29.84/4.76 % (2633916)Termination phase: Saturation
% 29.84/4.76 % (2633916)Time elapsed: 0.400 s
% 29.84/4.76 % (2633916)Peak memory usage: 22 MB
% 29.84/4.76 % (2633916)Instructions burned: 694 (million)
% 29.84/4.76 % (2633924)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=132540830:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 29.84/4.76 % TRYING [8]
% 29.84/4.76 % (2633918)Instruction limit reached!
% 29.84/4.76 % (2633918)------------------------------
% 29.84/4.76 % (2633918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633918)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633918)Termination reason: Instruction limit
% 29.84/4.76 % (2633918)Termination phase: Saturation
% 29.84/4.76 % (2633918)Time elapsed: 0.507 s
% 29.84/4.76 % (2633918)Peak memory usage: 20 MB
% 29.84/4.76 % (2633918)Instructions burned: 879 (million)
% 29.84/4.76 % (2633926)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2813678115:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 29.84/4.76 % (2633924)Instruction limit reached!
% 29.84/4.76 % (2633924)------------------------------
% 29.84/4.76 % (2633924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633924)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633924)Termination reason: Instruction limit
% 29.84/4.76 % (2633924)Termination phase: Finite model building SAT solving
% 29.84/4.76 % (2633924)Time elapsed: 0.469 s
% 29.84/4.76 % (2633924)Peak memory usage: 44 MB
% 29.84/4.76 % (2633924)Instructions burned: 920 (million)
% 29.84/4.76 % (2633928)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=339181965:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 29.84/4.76 % (2633928)Instruction limit reached!
% 29.84/4.76 % (2633928)------------------------------
% 29.84/4.76 % (2633928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633928)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633928)Termination reason: Instruction limit
% 29.84/4.76 % (2633928)Termination phase: Saturation
% 29.84/4.76 % (2633928)Time elapsed: 0.833 s
% 29.84/4.76 % (2633928)Peak memory usage: 29 MB
% 29.84/4.76 % (2633928)Instructions burned: 1473 (million)
% 29.84/4.76 % (2633930)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2654744624:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 29.84/4.76 % TRYING [77]
% 29.84/4.76 % TRYING [9]
% 29.84/4.76 % (2633926)Instruction limit reached!
% 29.84/4.76 % (2633926)------------------------------
% 29.84/4.76 % (2633926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633926)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633926)Termination reason: Instruction limit
% 29.84/4.76 % (2633926)Termination phase: Saturation
% 29.84/4.76 % (2633926)Time elapsed: 2.791 s
% 29.84/4.76 % (2633926)Peak memory usage: 34 MB
% 29.84/4.76 % (2633926)Instructions burned: 5133 (million)
% 29.84/4.76 % (2633932)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3924038115:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 29.84/4.76 % TRYING [16]
% 29.84/4.76 % (2633922)Instruction limit reached!
% 29.84/4.76 % (2633922)------------------------------
% 29.84/4.76 % (2633922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633922)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633922)Termination reason: Instruction limit
% 29.84/4.76 % (2633922)Termination phase: Finite model building constraint generation
% 29.84/4.76 % (2633922)Time elapsed: 3.326 s
% 29.84/4.76 % (2633922)Peak memory usage: 564 MB
% 29.84/4.76 % (2633922)Instructions burned: 9516 (million)
% 29.84/4.76 % (2633934)ott-2_1_sil=16000:newcnf=on:random_seed=2582841325:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 29.84/4.76 % (2633934) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2633881-2633934"...
% 29.84/4.76 % (2633934)...printing done.
% 29.84/4.76 % (2633934)Refutation found. Thanks to Tanya!
% 29.84/4.76 % SZS status Theorem for theBenchmark
% 29.84/4.76 % SZS output start Proof for theBenchmark
% See solution above
% 29.84/4.76 % (2633934)------------------------------
% 29.84/4.76 % (2633934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.84/4.76 % (2633934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.84/4.76 % (2633934)CaDiCaL version: 2.1.3
% 29.84/4.76 % (2633934)Termination reason: Refutation
% 29.84/4.76 % (2633934)Time elapsed: 0.058 s
% 29.84/4.76 % (2633934)Peak memory usage: 13 MB
% 29.84/4.76 % (2633934)Instructions burned: 88 (million)
% 29.84/4.76 % (2633881)Success in time 4.34 s
% 29.84/4.76 % Vampire exiting
%------------------------------------------------------------------------------