%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET171+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:43:21 PM UTC 2026
% Result : Theorem 34.28s 5.34s
% Output : Refutation 34.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 87 ( 25 unt; 5 def)
% Number of atoms : 230 ( 39 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 225 ( 82 ~; 112 |; 24 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 123 ( 116 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f9,conjecture,
! [X0,X1,X2] : union(X0,intersection(X1,X2)) = intersection(union(X0,X1),union(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_distributes_over_intersection) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] : union(X0,intersection(X1,X2)) = intersection(union(X0,X1),union(X0,X2)),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f12,plain,
? [X0,X1,X2] : union(X0,intersection(X1,X2)) != intersection(union(X0,X1),union(X0,X2)),
inference(ennf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f15]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f20,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f23]) ).
fof(f25,plain,
union(sK2,intersection(sK3,sK4)) != intersection(union(sK2,sK3),union(sK2,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f12]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f38,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f24]) ).
fof(f44,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| X0 = X1
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
union(sK2,intersection(sK3,sK4)) != intersection(union(sK2,sK3),union(sK2,sK4)),
inference(cnf_transformation,[],[f25]) ).
fof(f50,definition,
sF5 = intersection(sK3,sK4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f51,plain,
intersection(sK3,sK4) = sF5,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF6 = union(sK2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f53,plain,
union(sK2,sF5) = sF6,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF7 = union(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f55,plain,
union(sK2,sK3) = sF7,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF8 = union(sK2,sK4),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f57,plain,
union(sK2,sK4) = sF8,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF9 = intersection(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f59,plain,
intersection(sF7,sF8) = sF9,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
sF6 != sF9,
inference(definition_folding,[],[f45,f59,f57,f55,f53,f51]) ).
fof(f67,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sF7) ),
inference(superposition,[],[f28,f55]) ).
fof(f68,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sF8) ),
inference(superposition,[],[f28,f57]) ).
fof(f72,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF8) ),
inference(superposition,[],[f29,f59]) ).
fof(f75,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sK3) ),
inference(superposition,[],[f30,f51]) ).
fof(f76,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF7) ),
inference(superposition,[],[f30,f59]) ).
fof(f80,plain,
! [X2,X0,X1] :
( member(sK0(intersection(X0,X1),X2),X1)
| subset(intersection(X0,X1),X2) ),
inference(resolution,[],[f38,f29]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f39,f27]) ).
fof(f98,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF5)
| member(X0,sK2) ),
inference(superposition,[],[f26,f53]) ).
fof(f99,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sK3)
| member(X0,sK2) ),
inference(superposition,[],[f26,f55]) ).
fof(f100,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sK4)
| member(X0,sK2) ),
inference(superposition,[],[f26,f57]) ).
fof(f103,plain,
! [X0] :
( member(sK0(sF5,X0),sK3)
| subset(sF5,X0) ),
inference(resolution,[],[f75,f38]) ).
fof(f107,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK3)
| member(X0,sF5) ),
inference(superposition,[],[f31,f51]) ).
fof(f108,plain,
! [X0] :
( ~ member(X0,sF8)
| ~ member(X0,sF7)
| member(X0,sF9) ),
inference(superposition,[],[f31,f59]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ member(sK1(X0,union(X1,X2)),X1)
| ~ member(sK1(X0,union(X1,X2)),X0)
| union(X1,X2) = X0 ),
inference(resolution,[],[f44,f28]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ member(sK1(X0,union(X1,X2)),X2)
| ~ member(sK1(X0,union(X1,X2)),X0)
| union(X1,X2) = X0 ),
inference(resolution,[],[f44,f27]) ).
fof(f150,plain,
! [X0] :
( member(sK1(X0,sF6),sF5)
| member(sK1(X0,sF6),X0)
| member(sK1(X0,sF6),sK2)
| sF6 = X0 ),
inference(resolution,[],[f98,f43]) ).
fof(f253,plain,
! [X2,X0,X1] :
( subset(intersection(X0,X1),union(X2,X1))
| subset(intersection(X0,X1),union(X2,X1)) ),
inference(resolution,[],[f88,f80]) ).
fof(f261,plain,
! [X0] :
( ~ member(sK0(X0,sF7),sK3)
| subset(X0,sF7) ),
inference(superposition,[],[f88,f55]) ).
fof(f268,plain,
! [X2,X0,X1] : subset(intersection(X0,X1),union(X2,X1)),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f567,plain,
! [X0] :
( ~ member(sK1(X0,sF6),sK2)
| ~ member(sK1(X0,sF6),X0)
| sF6 = X0 ),
inference(superposition,[],[f142,f53]) ).
fof(f582,plain,
! [X0] :
( ~ member(sK1(X0,sF6),sF5)
| ~ member(sK1(X0,sF6),X0)
| sF6 = X0 ),
inference(superposition,[],[f143,f53]) ).
fof(f798,plain,
! [X0] : subset(sF5,union(X0,sK4)),
inference(superposition,[],[f268,f51]) ).
fof(f961,plain,
subset(sF5,sF8),
inference(superposition,[],[f798,f57]) ).
fof(f974,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF8) ),
inference(resolution,[],[f961,f37]) ).
fof(f976,plain,
( subset(sF5,sF7)
| subset(sF5,sF7) ),
inference(resolution,[],[f261,f103]) ).
fof(f987,plain,
subset(sF5,sF7),
inference(duplicate_literal_removal,[],[f976]) ).
fof(f988,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF7) ),
inference(resolution,[],[f987,f37]) ).
fof(f3908,plain,
( member(sK1(sF9,sF6),sF5)
| member(sK1(sF9,sF6),sK2)
| sF6 = sF9
| member(sK1(sF9,sF6),sF7) ),
inference(resolution,[],[f150,f76]) ).
fof(f3909,plain,
( member(sK1(sF9,sF6),sF5)
| member(sK1(sF9,sF6),sK2)
| sF6 = sF9
| member(sK1(sF9,sF6),sF8) ),
inference(resolution,[],[f150,f72]) ).
fof(f3916,plain,
( member(sK1(sF9,sF6),sK2)
| sF6 = sF9
| member(sK1(sF9,sF6),sF8) ),
inference(forward_subsumption_resolution,[],[f3909,f974]) ).
fof(f3917,plain,
( member(sK1(sF9,sF6),sK2)
| sF6 = sF9
| member(sK1(sF9,sF6),sF7) ),
inference(forward_subsumption_resolution,[],[f3908,f988]) ).
fof(f3921,plain,
( sF6 = sF9
| member(sK1(sF9,sF6),sF8) ),
inference(forward_subsumption_resolution,[],[f3916,f68]) ).
fof(f3922,plain,
( sF6 = sF9
| member(sK1(sF9,sF6),sF7) ),
inference(forward_subsumption_resolution,[],[f3917,f67]) ).
fof(f3923,plain,
member(sK1(sF9,sF6),sF8),
inference(forward_subsumption_resolution,[],[f3921,f60]) ).
fof(f3924,plain,
member(sK1(sF9,sF6),sF7),
inference(forward_subsumption_resolution,[],[f3922,f60]) ).
fof(f3925,plain,
( ~ member(sK1(sF9,sF6),sF7)
| member(sK1(sF9,sF6),sF9) ),
inference(resolution,[],[f3923,f108]) ).
fof(f3926,plain,
( member(sK1(sF9,sF6),sK4)
| member(sK1(sF9,sF6),sK2) ),
inference(resolution,[],[f3923,f100]) ).
fof(f3927,plain,
member(sK1(sF9,sF6),sF9),
inference(forward_subsumption_resolution,[],[f3925,f3924]) ).
fof(f3955,plain,
( member(sK1(sF9,sF6),sK3)
| member(sK1(sF9,sF6),sK2) ),
inference(resolution,[],[f3924,f99]) ).
fof(f4068,plain,
( member(sK1(sF9,sF6),sK2)
| ~ member(sK1(sF9,sF6),sK3)
| member(sK1(sF9,sF6),sF5) ),
inference(resolution,[],[f3926,f107]) ).
fof(f4070,plain,
( member(sK1(sF9,sF6),sF5)
| member(sK1(sF9,sF6),sK2) ),
inference(forward_subsumption_resolution,[],[f4068,f3955]) ).
fof(f4093,plain,
( member(sK1(sF9,sF6),sK2)
| ~ member(sK1(sF9,sF6),sF9)
| sF6 = sF9 ),
inference(resolution,[],[f4070,f582]) ).
fof(f4098,plain,
( ~ member(sK1(sF9,sF6),sF9)
| sF6 = sF9 ),
inference(forward_subsumption_resolution,[],[f4093,f567]) ).
fof(f4099,plain,
sF6 = sF9,
inference(forward_subsumption_resolution,[],[f4098,f3927]) ).
fof(f4100,plain,
$false,
inference(forward_subsumption_resolution,[],[f4099,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET171+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n014.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 01:00:21 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
% 27.44/4.32 % (1332458)Will run a generic schedule for satisfiability detection.
% 27.44/4.32 % (1332465)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=909746709:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 27.44/4.32 % (1332464)% WARNING: option uhcvi not known.
% 27.44/4.32 % (1332466)dis+10_1_sil=32000:sp=arity:random_seed=3849655105:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 27.44/4.32 % (1332463)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1505722158_2999 on theBenchmark for (2999ds/0Mi)
% 27.44/4.32 % (1332464)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3869974975:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 27.44/4.32 % (1332467)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4254796474:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 27.44/4.32 % (1332469)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=36041692:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 27.44/4.32 % (1332468)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=676533917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 27.44/4.32 % TRYING [1]
% 27.44/4.32 % TRYING [2]
% 27.44/4.32 % TRYING [3]
% 27.44/4.32 % TRYING [4]
% 27.44/4.32 % (1332466)Instruction limit reached!
% 27.44/4.32 % (1332466)------------------------------
% 27.44/4.32 % (1332466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.44/4.32 % (1332466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/4.32 % (1332466)CaDiCaL version: 2.1.3
% 27.44/4.32 % (1332466)Termination reason: Instruction limit
% 27.44/4.32 % (1332466)Termination phase: Saturation
% 27.44/4.32 % (1332466)Time elapsed: 0.061 s
% 27.44/4.32 % (1332466)Peak memory usage: 12 MB
% 27.44/4.32 % (1332466)Instructions burned: 104 (million)
% 27.44/4.32 % (1332467)Instruction limit reached!
% 27.44/4.32 % (1332467)------------------------------
% 27.44/4.32 % (1332467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.44/4.32 % (1332467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/4.32 % (1332467)CaDiCaL version: 2.1.3
% 27.44/4.32 % (1332467)Termination reason: Instruction limit
% 27.44/4.32 % (1332467)Termination phase: Saturation
% 27.44/4.32 % (1332467)Time elapsed: 0.064 s
% 27.44/4.32 % (1332467)Peak memory usage: 12 MB
% 27.44/4.32 % (1332467)Instructions burned: 118 (million)
% 27.44/4.32 % (1332468)Instruction limit reached!
% 27.44/4.32 % (1332468)------------------------------
% 27.44/4.32 % (1332468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.44/4.32 % (1332468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/4.32 % (1332468)CaDiCaL version: 2.1.3
% 27.44/4.32 % (1332468)Termination reason: Instruction limit
% 27.44/4.32 % (1332468)Termination phase: Saturation
% 27.44/4.32 % (1332468)Time elapsed: 0.076 s
% 27.44/4.32 % (1332468)Peak memory usage: 12 MB
% 27.44/4.32 % (1332468)Instructions burned: 131 (million)
% 27.44/4.32 % TRYING [5]
% 27.44/4.32 % (1332477)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1446724444:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 27.44/4.32 % TRYING [1]
% 27.44/4.32 % TRYING [2]
% 27.44/4.32 % (1332478)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2533250208:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 27.44/4.32 % TRYING [3]
% 27.44/4.32 % (1332469)Instruction limit reached!
% 27.44/4.32 % (1332469)------------------------------
% 27.44/4.32 % (1332469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.44/4.32 % (1332469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/4.32 % (1332469)CaDiCaL version: 2.1.3
% 27.44/4.32 % (1332469)Termination reason: Instruction limit
% 27.44/4.32 % (1332469)Termination phase: Saturation
% 27.44/4.32 % (1332469)Time elapsed: 0.091 s
% 27.44/4.32 % (1332469)Peak memory usage: 13 MB
% 27.44/4.32 % (1332469)Instructions burned: 160 (million)
% 27.44/4.32 % TRYING [4]
% 27.44/4.32 % (1332479)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=1702241817:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 27.44/4.32 % (1332482)ott-21_1_sil=16000:fs=off:random_seed=2965232922:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 27.44/4.32 % (1332478)Instruction limit reached!
% 27.44/4.32 % (1332478)------------------------------
% 27.44/4.32 % (1332478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332478)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332478)Termination reason: Instruction limit
% 34.28/5.34 % (1332478)Termination phase: Saturation
% 34.28/5.34 % (1332478)Time elapsed: 0.078 s
% 34.28/5.34 % (1332478)Peak memory usage: 13 MB
% 34.28/5.34 % (1332478)Instructions burned: 132 (million)
% 34.28/5.34 % TRYING [5]
% 34.28/5.34 % (1332485)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3679590567:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 34.28/5.34 % (1332482)Instruction limit reached!
% 34.28/5.34 % (1332482)------------------------------
% 34.28/5.34 % (1332482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332482)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332482)Termination reason: Instruction limit
% 34.28/5.34 % (1332482)Termination phase: Saturation
% 34.28/5.34 % (1332482)Time elapsed: 0.087 s
% 34.28/5.34 % (1332482)Peak memory usage: 13 MB
% 34.28/5.34 % (1332482)Instructions burned: 182 (million)
% 34.28/5.34 % (1332487)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2923911467:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 34.28/5.34 % TRYING [1]
% 34.28/5.34 % TRYING [2]
% 34.28/5.34 % TRYING [3]
% 34.28/5.34 % TRYING [4]
% 34.28/5.34 % TRYING [5]
% 34.28/5.34 % (1332485)Instruction limit reached!
% 34.28/5.34 % (1332485)------------------------------
% 34.28/5.34 % (1332485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332485)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332485)Termination reason: Instruction limit
% 34.28/5.34 % (1332485)Termination phase: Saturation
% 34.28/5.34 % (1332485)Time elapsed: 0.291 s
% 34.28/5.34 % (1332485)Peak memory usage: 14 MB
% 34.28/5.34 % (1332485)Instructions burned: 478 (million)
% 34.28/5.34 % (1332479)Instruction limit reached!
% 34.28/5.34 % (1332479)------------------------------
% 34.28/5.34 % (1332479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332479)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332479)Termination reason: Instruction limit
% 34.28/5.34 % (1332479)Termination phase: Saturation
% 34.28/5.34 % (1332479)Time elapsed: 0.383 s
% 34.28/5.34 % (1332479)Peak memory usage: 17 MB
% 34.28/5.34 % (1332479)Instructions burned: 684 (million)
% 34.28/5.34 % (1332489)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2541690140:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 34.28/5.34 % (1332490)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1337488447:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 34.28/5.34 % TRYING [14]
% 34.28/5.34 % (1332477)Instruction limit reached!
% 34.28/5.34 % (1332477)------------------------------
% 34.28/5.34 % (1332477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332477)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332477)Termination reason: Instruction limit
% 34.28/5.34 % (1332477)Termination phase: Finite model building SAT solving
% 34.28/5.34 % (1332477)Time elapsed: 0.428 s
% 34.28/5.34 % (1332477)Peak memory usage: 13 MB
% 34.28/5.34 % (1332477)Instructions burned: 715 (million)
% 34.28/5.34 % (1332493)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=2184953692: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)
% 34.28/5.34 % (1332487)Instruction limit reached!
% 34.28/5.34 % (1332487)------------------------------
% 34.28/5.34 % (1332487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332487)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332487)Termination reason: Instruction limit
% 34.28/5.34 % (1332487)Termination phase: Finite model building SAT solving
% 34.28/5.34 % (1332487)Time elapsed: 0.490 s
% 34.28/5.34 % (1332487)Peak memory usage: 12 MB
% 34.28/5.34 % (1332487)Instructions burned: 865 (million)
% 34.28/5.34 % (1332495)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=656792132:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 34.28/5.34 % (1332490)Instruction limit reached!
% 34.28/5.34 % (1332490)------------------------------
% 34.28/5.34 % (1332490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332490)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332490)Termination reason: Instruction limit
% 34.28/5.34 % (1332490)Termination phase: Finite model building SAT solving
% 34.28/5.34 % (1332490)Time elapsed: 0.339 s
% 34.28/5.34 % (1332490)Peak memory usage: 45 MB
% 34.28/5.34 % (1332490)Instructions burned: 890 (million)
% 34.28/5.34 % (1332497)fmb+10_1_sil=64000:random_seed=1300783237:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 34.28/5.34 % TRYING [1]
% 34.28/5.34 % TRYING [2]
% 34.28/5.34 % TRYING [3]
% 34.28/5.34 % TRYING [4]
% 34.28/5.34 % (1332493)Instruction limit reached!
% 34.28/5.34 % (1332493)------------------------------
% 34.28/5.34 % (1332493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332493)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332493)Termination reason: Instruction limit
% 34.28/5.34 % (1332493)Termination phase: Saturation
% 34.28/5.34 % (1332493)Time elapsed: 0.381 s
% 34.28/5.34 % (1332493)Peak memory usage: 18 MB
% 34.28/5.34 % (1332493)Instructions burned: 693 (million)
% 34.28/5.34 % TRYING [5]
% 34.28/5.34 % (1332499)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2129735248:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 34.28/5.34 % TRYING [20]
% 34.28/5.34 % TRYING [6]
% 34.28/5.34 % (1332489)Instruction limit reached!
% 34.28/5.34 % (1332489)------------------------------
% 34.28/5.34 % (1332489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332489)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332489)Termination reason: Instruction limit
% 34.28/5.34 % (1332489)Termination phase: Saturation
% 34.28/5.34 % (1332489)Time elapsed: 0.651 s
% 34.28/5.34 % (1332489)Peak memory usage: 18 MB
% 34.28/5.34 % (1332489)Instructions burned: 1179 (million)
% 34.28/5.34 % (1332501)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1978943143:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 34.28/5.34 % TRYING [8]
% 34.28/5.34 % (1332495)Instruction limit reached!
% 34.28/5.34 % (1332495)------------------------------
% 34.28/5.34 % (1332495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332495)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332495)Termination reason: Instruction limit
% 34.28/5.34 % (1332495)Termination phase: Saturation
% 34.28/5.34 % (1332495)Time elapsed: 0.497 s
% 34.28/5.34 % (1332495)Peak memory usage: 17 MB
% 34.28/5.34 % (1332495)Instructions burned: 880 (million)
% 34.28/5.34 % (1332503)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1786059688:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 34.28/5.34 % TRYING [6]
% 34.28/5.34 % (1332501)Instruction limit reached!
% 34.28/5.34 % (1332501)------------------------------
% 34.28/5.34 % (1332501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332501)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332501)Termination reason: Instruction limit
% 34.28/5.34 % (1332501)Termination phase: Finite model building SAT solving
% 34.28/5.34 % (1332501)Time elapsed: 0.479 s
% 34.28/5.34 % (1332501)Peak memory usage: 20 MB
% 34.28/5.34 % (1332501)Instructions burned: 921 (million)
% 34.28/5.34 % (1332505)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=420793401:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 34.28/5.34 % (1332505)Instruction limit reached!
% 34.28/5.34 % (1332505)------------------------------
% 34.28/5.34 % (1332505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332505)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332505)Termination reason: Instruction limit
% 34.28/5.34 % (1332505)Termination phase: Saturation
% 34.28/5.34 % (1332505)Time elapsed: 0.577 s
% 34.28/5.34 % (1332505)Peak memory usage: 18 MB
% 34.28/5.34 % (1332505)Instructions burned: 1474 (million)
% 34.28/5.34 % (1332507)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1908733048:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 34.28/5.34 % TRYING [77]
% 34.28/5.34 % (1332503)Instruction limit reached!
% 34.28/5.34 % (1332503)------------------------------
% 34.28/5.34 % (1332503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332503)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332503)Termination reason: Instruction limit
% 34.28/5.34 % (1332503)Termination phase: Saturation
% 34.28/5.34 % (1332503)Time elapsed: 2.604 s
% 34.28/5.34 % (1332503)Peak memory usage: 26 MB
% 34.28/5.34 % (1332503)Instructions burned: 5133 (million)
% 34.28/5.34 % (1332509)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2077624507:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 34.28/5.34 % TRYING [16]
% 34.28/5.34 % (1332507)Instruction limit reached!
% 34.28/5.34 % (1332507)------------------------------
% 34.28/5.34 % (1332507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332507)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332507)Termination reason: Instruction limit
% 34.28/5.34 % (1332507)Termination phase: Finite model building constraint generation
% 34.28/5.34 % (1332507)Time elapsed: 2.372 s
% 34.28/5.34 % (1332507)Peak memory usage: 495 MB
% 34.28/5.34 % (1332507)Instructions burned: 6325 (million)
% 34.28/5.34 % (1332511)ott-2_1_sil=16000:newcnf=on:random_seed=465984174:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2952 on theBenchmark for (2952ds/869Mi)
% 34.28/5.34 % (1332509)Instruction limit reached!
% 34.28/5.34 % (1332509)------------------------------
% 34.28/5.34 % (1332509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.34 % (1332509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.34 % (1332509)CaDiCaL version: 2.1.3
% 34.28/5.34 % (1332509)Termination reason: Instruction limit
% 34.28/5.34 % (1332509)Termination phase: Finite model building constraint generation
% 34.28/5.34 % (1332509)Time elapsed: 0.844 s
% 34.28/5.34 % (1332509)Peak memory usage: 152 MB
% 34.28/5.34 % (1332509)Instructions burned: 2176 (million)
% 34.28/5.34 % (1332513)ott+10_1_sil=32000:tgt=ground:random_seed=410830153:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 34.28/5.34 % (1332513) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1332458-1332513"...
% 34.28/5.34 % (1332513)...printing done.
% 34.28/5.34 % (1332513)Refutation found. Thanks to Tanya!
% 34.28/5.34 % SZS status Theorem for theBenchmark
% 34.28/5.34 % SZS output start Proof for theBenchmark
% See solution above
% 34.28/5.35 % (1332513)------------------------------
% 34.28/5.35 % (1332513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.28/5.35 % (1332513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.28/5.35 % (1332513)CaDiCaL version: 2.1.3
% 34.28/5.35 % (1332513)Termination reason: Refutation
% 34.28/5.35 % (1332513)Time elapsed: 0.080 s
% 34.28/5.35 % (1332513)Peak memory usage: 13 MB
% 34.28/5.35 % (1332513)Instructions burned: 136 (million)
% 34.28/5.35 % (1332458)Success in time 4.909 s
% 34.28/5.35 % Vampire exiting
%------------------------------------------------------------------------------