%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET169+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:43:20 PM UTC 2026
% Result : Theorem 18.46s 3.51s
% Output : Refutation 18.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 90 ( 28 unt; 5 def)
% Number of atoms : 228 ( 34 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 217 ( 79 ~; 107 |; 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 : 121 ( 114 !; 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] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_distributes_over_union) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(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] : intersection(X0,union(X1,X2)) != union(intersection(X0,X1),intersection(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,
intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(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,
intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(sK2,sK4)),
inference(cnf_transformation,[],[f25]) ).
fof(f50,definition,
sF5 = union(sK3,sK4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f51,plain,
union(sK3,sK4) = sF5,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF6 = intersection(sK2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f53,plain,
intersection(sK2,sF5) = sF6,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF7 = intersection(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f55,plain,
intersection(sK2,sK3) = sF7,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF8 = intersection(sK2,sK4),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f57,plain,
intersection(sK2,sK4) = sF8,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF9 = union(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f59,plain,
union(sF7,sF8) = sF9,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
sF6 != sF9,
inference(definition_folding,[],[f45,f59,f57,f55,f53,f51]) ).
fof(f62,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF9) ),
inference(superposition,[],[f27,f59]) ).
fof(f66,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF9) ),
inference(superposition,[],[f28,f59]) ).
fof(f69,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF5) ),
inference(superposition,[],[f29,f53]) ).
fof(f71,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sK4) ),
inference(superposition,[],[f29,f57]) ).
fof(f74,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK2) ),
inference(superposition,[],[f30,f53]) ).
fof(f75,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sK2) ),
inference(superposition,[],[f30,f55]) ).
fof(f76,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sK2) ),
inference(superposition,[],[f30,f57]) ).
fof(f80,plain,
! [X2,X0,X1] :
( member(sK0(intersection(X0,X1),X2),X1)
| subset(intersection(X0,X1),X2) ),
inference(resolution,[],[f38,f29]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,union(X1,X2)),X1)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f39,f28]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f39,f27]) ).
fof(f92,plain,
! [X0] :
( member(sK0(sF8,X0),sK4)
| subset(sF8,X0) ),
inference(resolution,[],[f71,f38]) ).
fof(f98,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sK4)
| member(X0,sK3) ),
inference(superposition,[],[f26,f51]) ).
fof(f99,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f26,f59]) ).
fof(f106,plain,
! [X0] :
( ~ member(X0,sF5)
| ~ member(X0,sK2)
| member(X0,sF6) ),
inference(superposition,[],[f31,f53]) ).
fof(f107,plain,
! [X0] :
( ~ member(X0,sK3)
| ~ member(X0,sK2)
| member(X0,sF7) ),
inference(superposition,[],[f31,f55]) ).
fof(f108,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK2)
| member(X0,sF8) ),
inference(superposition,[],[f31,f57]) ).
fof(f117,plain,
! [X0] :
( member(sK1(X0,sF6),sK2)
| member(sK1(X0,sF6),X0)
| sF6 = X0 ),
inference(resolution,[],[f43,f74]) ).
fof(f118,plain,
! [X0] :
( member(sK1(X0,sF6),sF5)
| member(sK1(X0,sF6),X0)
| sF6 = X0 ),
inference(resolution,[],[f43,f69]) ).
fof(f235,plain,
! [X2,X0,X1] :
( subset(intersection(X0,X1),union(X1,X2))
| subset(intersection(X0,X1),union(X1,X2)) ),
inference(resolution,[],[f87,f80]) ).
fof(f249,plain,
! [X2,X0,X1] : subset(intersection(X0,X1),union(X1,X2)),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f263,plain,
! [X0] :
( ~ member(sK0(X0,sF5),sK4)
| subset(X0,sF5) ),
inference(superposition,[],[f88,f51]) ).
fof(f770,plain,
! [X0] : subset(sF7,union(sK3,X0)),
inference(superposition,[],[f249,f55]) ).
fof(f838,plain,
subset(sF7,sF5),
inference(superposition,[],[f770,f51]) ).
fof(f851,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF5) ),
inference(resolution,[],[f838,f37]) ).
fof(f948,plain,
( subset(sF8,sF5)
| subset(sF8,sF5) ),
inference(resolution,[],[f263,f92]) ).
fof(f959,plain,
subset(sF8,sF5),
inference(duplicate_literal_removal,[],[f948]) ).
fof(f960,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF5) ),
inference(resolution,[],[f959,f37]) ).
fof(f1690,plain,
( member(sK1(sF9,sF6),sK2)
| sF6 = sF9
| member(sK1(sF9,sF6),sF8)
| member(sK1(sF9,sF6),sF7) ),
inference(resolution,[],[f117,f99]) ).
fof(f1696,plain,
( member(sK1(sF9,sF6),sK2)
| sF6 = sF9
| member(sK1(sF9,sF6),sF7) ),
inference(forward_subsumption_resolution,[],[f1690,f76]) ).
fof(f1697,plain,
( member(sK1(sF9,sF6),sK2)
| sF6 = sF9 ),
inference(forward_subsumption_resolution,[],[f1696,f75]) ).
fof(f1698,plain,
member(sK1(sF9,sF6),sK2),
inference(forward_subsumption_resolution,[],[f1697,f60]) ).
fof(f1713,plain,
( member(sK1(sF9,sF6),sF5)
| sF6 = sF9
| member(sK1(sF9,sF6),sF8)
| member(sK1(sF9,sF6),sF7) ),
inference(resolution,[],[f118,f99]) ).
fof(f1717,plain,
( member(sK1(sF9,sF6),sF5)
| sF6 = sF9
| member(sK1(sF9,sF6),sF7) ),
inference(forward_subsumption_resolution,[],[f1713,f960]) ).
fof(f1721,plain,
( member(sK1(sF9,sF6),sF5)
| sF6 = sF9 ),
inference(forward_subsumption_resolution,[],[f1717,f851]) ).
fof(f1722,plain,
member(sK1(sF9,sF6),sF5),
inference(forward_subsumption_resolution,[],[f1721,f60]) ).
fof(f1723,plain,
( ~ member(sK1(sF9,sF6),sK2)
| member(sK1(sF9,sF6),sF6) ),
inference(resolution,[],[f1722,f106]) ).
fof(f1724,plain,
( member(sK1(sF9,sF6),sK4)
| member(sK1(sF9,sF6),sK3) ),
inference(resolution,[],[f1722,f98]) ).
fof(f1725,plain,
member(sK1(sF9,sF6),sF6),
inference(forward_subsumption_resolution,[],[f1723,f1698]) ).
fof(f1752,plain,
( sF6 = sF9
| ~ member(sK1(sF9,sF6),sF9) ),
inference(resolution,[],[f1725,f44]) ).
fof(f1755,plain,
~ member(sK1(sF9,sF6),sF9),
inference(forward_subsumption_resolution,[],[f1752,f60]) ).
fof(f1791,plain,
( member(sK1(sF9,sF6),sK3)
| ~ member(sK1(sF9,sF6),sK2)
| member(sK1(sF9,sF6),sF8) ),
inference(resolution,[],[f1724,f108]) ).
fof(f1793,plain,
( member(sK1(sF9,sF6),sF8)
| member(sK1(sF9,sF6),sK3) ),
inference(forward_subsumption_resolution,[],[f1791,f1698]) ).
fof(f1822,plain,
( member(sK1(sF9,sF6),sK3)
| member(sK1(sF9,sF6),sF9) ),
inference(resolution,[],[f1793,f62]) ).
fof(f1823,plain,
member(sK1(sF9,sF6),sK3),
inference(forward_subsumption_resolution,[],[f1822,f1755]) ).
fof(f1848,plain,
( ~ member(sK1(sF9,sF6),sK2)
| member(sK1(sF9,sF6),sF7) ),
inference(resolution,[],[f1823,f107]) ).
fof(f1850,plain,
member(sK1(sF9,sF6),sF7),
inference(forward_subsumption_resolution,[],[f1848,f1698]) ).
fof(f1858,plain,
member(sK1(sF9,sF6),sF9),
inference(resolution,[],[f1850,f66]) ).
fof(f1859,plain,
$false,
inference(forward_subsumption_resolution,[],[f1858,f1755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET169+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Mon Sep 28 01:02:52 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 15.24/2.68 % (2168686)Will run a generic schedule for satisfiability detection.
% 15.24/2.68 % (2168696)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4016595889:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.24/2.68 % (2168692)% WARNING: option uhcvi not known.
% 15.24/2.68 % (2168693)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=712417211:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.24/2.68 % (2168691)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3426165136_2999 on theBenchmark for (2999ds/0Mi)
% 15.24/2.68 % (2168692)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4074230980:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.24/2.68 % (2168694)dis+10_1_sil=32000:sp=arity:random_seed=285536761:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.24/2.68 % (2168695)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=504063833:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.24/2.68 % (2168697)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2099777138:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.24/2.68 % TRYING [1]
% 15.24/2.68 % TRYING [2]
% 15.24/2.68 % TRYING [3]
% 15.24/2.68 % TRYING [4]
% 15.24/2.68 % (2168696)Instruction limit reached!
% 15.24/2.68 % (2168696)------------------------------
% 15.24/2.68 % (2168696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.68 % (2168696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.68 % (2168696)CaDiCaL version: 2.1.3
% 15.24/2.68 % (2168696)Termination reason: Instruction limit
% 15.24/2.68 % (2168696)Termination phase: Saturation
% 15.24/2.68 % (2168696)Time elapsed: 0.041 s
% 15.24/2.68 % (2168696)Peak memory usage: 12 MB
% 15.24/2.68 % (2168696)Instructions burned: 131 (million)
% 15.24/2.68 % (2168705)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2994833333:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.24/2.68 % TRYING [1]
% 15.24/2.68 % TRYING [2]
% 15.24/2.68 % TRYING [3]
% 15.24/2.68 % TRYING [4]
% 15.24/2.68 % (2168694)Instruction limit reached!
% 15.24/2.68 % (2168694)------------------------------
% 15.24/2.68 % (2168694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.68 % (2168694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.68 % (2168694)CaDiCaL version: 2.1.3
% 15.24/2.68 % (2168694)Termination reason: Instruction limit
% 15.24/2.68 % (2168694)Termination phase: Saturation
% 15.24/2.68 % (2168694)Time elapsed: 0.061 s
% 15.24/2.68 % (2168694)Peak memory usage: 12 MB
% 15.24/2.68 % (2168694)Instructions burned: 103 (million)
% 15.24/2.68 % (2168695)Instruction limit reached!
% 15.24/2.68 % (2168695)------------------------------
% 15.24/2.68 % (2168695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.68 % (2168695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.68 % (2168695)CaDiCaL version: 2.1.3
% 15.24/2.68 % (2168695)Termination reason: Instruction limit
% 15.24/2.68 % (2168695)Termination phase: Saturation
% 15.24/2.68 % (2168695)Time elapsed: 0.062 s
% 15.24/2.68 % (2168695)Peak memory usage: 12 MB
% 15.24/2.68 % (2168695)Instructions burned: 117 (million)
% 15.24/2.68 % TRYING [5]
% 15.24/2.68 % (2168707)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2261643981:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.24/2.68 % (2168708)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=214404287:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 15.24/2.68 % (2168697)Instruction limit reached!
% 15.24/2.68 % (2168697)------------------------------
% 15.24/2.68 % (2168697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.24/2.68 % (2168697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.24/2.68 % (2168697)CaDiCaL version: 2.1.3
% 15.24/2.68 % (2168697)Termination reason: Instruction limit
% 15.24/2.68 % (2168697)Termination phase: Saturation
% 15.24/2.68 % (2168697)Time elapsed: 0.090 s
% 15.24/2.68 % (2168697)Peak memory usage: 13 MB
% 15.24/2.68 % (2168697)Instructions burned: 160 (million)
% 15.24/2.68 % TRYING [5]
% 15.24/2.68 % (2168711)ott-21_1_sil=16000:fs=off:random_seed=3783901681:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.24/2.68 % (2168707)Instruction limit reached!
% 15.24/2.68 % (2168707)------------------------------
% 15.24/2.68 % (2168707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168707)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168707)Termination reason: Instruction limit
% 18.46/3.51 % (2168707)Termination phase: Saturation
% 18.46/3.51 % (2168707)Time elapsed: 0.078 s
% 18.46/3.51 % (2168707)Peak memory usage: 13 MB
% 18.46/3.51 % (2168707)Instructions burned: 132 (million)
% 18.46/3.51 % (2168713)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2053950657:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 18.46/3.51 % (2168711)Instruction limit reached!
% 18.46/3.51 % (2168711)------------------------------
% 18.46/3.51 % (2168711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168711)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168711)Termination reason: Instruction limit
% 18.46/3.51 % (2168711)Termination phase: Saturation
% 18.46/3.51 % (2168711)Time elapsed: 0.087 s
% 18.46/3.51 % (2168711)Peak memory usage: 13 MB
% 18.46/3.51 % (2168711)Instructions burned: 182 (million)
% 18.46/3.51 % (2168715)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2163249679:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.46/3.51 % TRYING [1]
% 18.46/3.51 % TRYING [2]
% 18.46/3.51 % TRYING [3]
% 18.46/3.51 % TRYING [4]
% 18.46/3.51 % (2168705)Instruction limit reached!
% 18.46/3.51 % (2168705)------------------------------
% 18.46/3.51 % (2168705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168705)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168705)Termination reason: Instruction limit
% 18.46/3.51 % (2168705)Termination phase: Finite model building SAT solving
% 18.46/3.51 % (2168705)Time elapsed: 0.224 s
% 18.46/3.51 % (2168705)Peak memory usage: 13 MB
% 18.46/3.51 % (2168705)Instructions burned: 715 (million)
% 18.46/3.51 % TRYING [5]
% 18.46/3.51 % (2168717)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1148180787:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 18.46/3.51 % (2168708)Instruction limit reached!
% 18.46/3.51 % (2168708)------------------------------
% 18.46/3.51 % (2168708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168708)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168708)Termination reason: Instruction limit
% 18.46/3.51 % (2168708)Termination phase: Saturation
% 18.46/3.51 % (2168708)Time elapsed: 0.373 s
% 18.46/3.51 % (2168708)Peak memory usage: 17 MB
% 18.46/3.51 % (2168708)Instructions burned: 684 (million)
% 18.46/3.51 % (2168713)Instruction limit reached!
% 18.46/3.51 % (2168713)------------------------------
% 18.46/3.51 % (2168713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168713)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168713)Termination reason: Instruction limit
% 18.46/3.51 % (2168713)Termination phase: Saturation
% 18.46/3.51 % (2168713)Time elapsed: 0.293 s
% 18.46/3.51 % (2168713)Peak memory usage: 14 MB
% 18.46/3.51 % (2168713)Instructions burned: 478 (million)
% 18.46/3.51 % (2168719)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2416462607:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 18.46/3.51 % TRYING [14]
% 18.46/3.51 % (2168720)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=362047841: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)
% 18.46/3.51 % (2168717)Instruction limit reached!
% 18.46/3.51 % (2168717)------------------------------
% 18.46/3.51 % (2168717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168717)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168717)Termination reason: Instruction limit
% 18.46/3.51 % (2168717)Termination phase: Saturation
% 18.46/3.51 % (2168717)Time elapsed: 0.328 s
% 18.46/3.51 % (2168717)Peak memory usage: 17 MB
% 18.46/3.51 % (2168717)Instructions burned: 1182 (million)
% 18.46/3.51 % (2168723)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1072525209:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 18.46/3.51 % (2168715)Instruction limit reached!
% 18.46/3.51 % (2168715)------------------------------
% 18.46/3.51 % (2168715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168715)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168715)Termination reason: Instruction limit
% 18.46/3.51 % (2168715)Termination phase: Finite model building SAT solving
% 18.46/3.51 % (2168715)Time elapsed: 0.492 s
% 18.46/3.51 % (2168715)Peak memory usage: 12 MB
% 18.46/3.51 % (2168715)Instructions burned: 866 (million)
% 18.46/3.51 % (2168725)fmb+10_1_sil=64000:random_seed=1448342146:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 18.46/3.51 % TRYING [1]
% 18.46/3.51 % TRYING [2]
% 18.46/3.51 % TRYING [3]
% 18.46/3.51 % TRYING [4]
% 18.46/3.51 % TRYING [5]
% 18.46/3.51 % (2168719)Instruction limit reached!
% 18.46/3.51 % (2168719)------------------------------
% 18.46/3.51 % (2168719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168719)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168719)Termination reason: Instruction limit
% 18.46/3.51 % (2168719)Termination phase: Finite model building SAT solving
% 18.46/3.51 % (2168719)Time elapsed: 0.338 s
% 18.46/3.51 % (2168719)Peak memory usage: 45 MB
% 18.46/3.51 % (2168719)Instructions burned: 892 (million)
% 18.46/3.51 % (2168727)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=301694376:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 18.46/3.51 % TRYING [20]
% 18.46/3.51 % (2168720)Instruction limit reached!
% 18.46/3.51 % (2168720)------------------------------
% 18.46/3.51 % (2168720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168720)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168720)Termination reason: Instruction limit
% 18.46/3.51 % (2168720)Termination phase: Saturation
% 18.46/3.51 % (2168720)Time elapsed: 0.377 s
% 18.46/3.51 % (2168720)Peak memory usage: 18 MB
% 18.46/3.51 % (2168720)Instructions burned: 692 (million)
% 18.46/3.51 % (2168723)Instruction limit reached!
% 18.46/3.51 % (2168723)------------------------------
% 18.46/3.51 % (2168723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168723)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168723)Termination reason: Instruction limit
% 18.46/3.51 % (2168723)Termination phase: Saturation
% 18.46/3.51 % (2168723)Time elapsed: 0.257 s
% 18.46/3.51 % (2168723)Peak memory usage: 18 MB
% 18.46/3.51 % (2168723)Instructions burned: 879 (million)
% 18.46/3.51 % (2168730)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1711908615:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 18.46/3.51 % (2168729)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1369115774:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 18.46/3.51 % TRYING [8]
% 18.46/3.51 % TRYING [6]
% 18.46/3.51 % (2168729)Instruction limit reached!
% 18.46/3.51 % (2168729)------------------------------
% 18.46/3.51 % (2168729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168729)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168729)Termination reason: Instruction limit
% 18.46/3.51 % (2168729)Termination phase: Finite model building SAT solving
% 18.46/3.51 % (2168729)Time elapsed: 0.476 s
% 18.46/3.51 % (2168729)Peak memory usage: 20 MB
% 18.46/3.51 % (2168729)Instructions burned: 921 (million)
% 18.46/3.51 % (2168733)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=447533978:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 18.46/3.51 % TRYING [6]
% 18.46/3.51 % (2168733)Instruction limit reached!
% 18.46/3.51 % (2168733)------------------------------
% 18.46/3.51 % (2168733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168733)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168733)Termination reason: Instruction limit
% 18.46/3.51 % (2168733)Termination phase: Saturation
% 18.46/3.51 % (2168733)Time elapsed: 0.641 s
% 18.46/3.51 % (2168733)Peak memory usage: 20 MB
% 18.46/3.51 % (2168733)Instructions burned: 1477 (million)
% 18.46/3.51 % (2168735)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2241878687:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 18.46/3.51 % TRYING [77]
% 18.46/3.51 % (2168730)Instruction limit reached!
% 18.46/3.51 % (2168730)------------------------------
% 18.46/3.51 % (2168730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168730)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168730)Termination reason: Instruction limit
% 18.46/3.51 % (2168730)Termination phase: Saturation
% 18.46/3.51 % (2168730)Time elapsed: 1.324 s
% 18.46/3.51 % (2168730)Peak memory usage: 26 MB
% 18.46/3.51 % (2168730)Instructions burned: 5132 (million)
% 18.46/3.51 % (2168737)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3259692046:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 18.46/3.51 % TRYING [16]
% 18.46/3.51 % (2168737)Instruction limit reached!
% 18.46/3.51 % (2168737)------------------------------
% 18.46/3.51 % (2168737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168737)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168737)Termination reason: Instruction limit
% 18.46/3.51 % (2168737)Termination phase: Finite model building constraint generation
% 18.46/3.51 % (2168737)Time elapsed: 0.473 s
% 18.46/3.51 % (2168737)Peak memory usage: 153 MB
% 18.46/3.51 % (2168737)Instructions burned: 2178 (million)
% 18.46/3.51 % (2168739)ott-2_1_sil=16000:newcnf=on:random_seed=3837534058:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2972 on theBenchmark for (2972ds/869Mi)
% 18.46/3.51 % (2168739)Instruction limit reached!
% 18.46/3.51 % (2168739)------------------------------
% 18.46/3.51 % (2168739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.51 % (2168739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (2168739)CaDiCaL version: 2.1.3
% 18.46/3.51 % (2168739)Termination reason: Instruction limit
% 18.46/3.51 % (2168739)Termination phase: Saturation
% 18.46/3.51 % (2168739)Time elapsed: 0.252 s
% 18.46/3.51 % (2168739)Peak memory usage: 15 MB
% 18.46/3.51 % (2168739)Instructions burned: 870 (million)
% 18.46/3.51 % (2168741)ott+10_1_sil=32000:tgt=ground:random_seed=347252225:i=5114:av=off_2969 on theBenchmark for (2969ds/5114Mi)
% 18.46/3.51 % (2168741) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2168686-2168741"...
% 18.46/3.51 % (2168741)...printing done.
% 18.46/3.51 % (2168741)Refutation found. Thanks to Tanya!
% 18.46/3.51 % SZS status Theorem for theBenchmark
% 18.46/3.51 % SZS output start Proof for theBenchmark
% See solution above
% 18.46/3.52 % (2168741)------------------------------
% 18.46/3.52 % (2168741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.46/3.52 % (2168741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.52 % (2168741)CaDiCaL version: 2.1.3
% 18.46/3.52 % (2168741)Termination reason: Refutation
% 18.46/3.52 % (2168741)Time elapsed: 0.023 s
% 18.46/3.52 % (2168741)Peak memory usage: 12 MB
% 18.46/3.52 % (2168741)Instructions burned: 74 (million)
% 18.46/3.52 % (2168686)Success in time 3.077 s
% 18.46/3.52 % Vampire exiting
%------------------------------------------------------------------------------