%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET144+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 : 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 12:43:15 PM UTC 2026
% Result : Theorem 34.85s 5.45s
% Output : Refutation 34.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 93 ( 23 unt; 4 def)
% Number of atoms : 246 ( 42 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 233 ( 80 ~; 118 |; 26 &)
% ( 6 <=>; 3 =>; 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 : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 128 ( 121 !; 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(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f5,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f6,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
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] :
( subset(X0,X1)
=> union(X0,intersection(X2,X1)) = intersection(union(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th44) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(X0,X1)
=> union(X0,intersection(X2,X1)) = intersection(union(X0,X2),X1) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f12,plain,
? [X0,X1,X2] :
( union(X0,intersection(X2,X1)) != intersection(union(X0,X2),X1)
& subset(X0,X1) ),
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(f17,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(f18,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,[],[f17]) ).
fof(f19,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))],[f18]) ).
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(sK4,sK3)) != intersection(union(sK2,sK4),sK3)
& subset(sK2,sK3) ),
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(f32,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f33,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f34,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f6]) ).
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,
subset(sK2,sK3),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
union(sK2,intersection(sK4,sK3)) != intersection(union(sK2,sK4),sK3),
inference(cnf_transformation,[],[f25]) ).
fof(f51,definition,
sF5 = intersection(sK4,sK3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f52,plain,
intersection(sK4,sK3) = sF5,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF6 = union(sK2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f54,plain,
union(sK2,sF5) = sF6,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF7 = union(sK2,sK4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f56,plain,
union(sK2,sK4) = sF7,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF8 = intersection(sF7,sK3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f58,plain,
intersection(sF7,sK3) = sF8,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
sF6 != sF8,
inference(definition_folding,[],[f46,f58,f56,f54,f52]) ).
fof(f60,plain,
sF5 = intersection(sK3,sK4),
inference(forward_demodulation,[],[f52,f39]) ).
fof(f61,plain,
sF8 = intersection(sK3,sF7),
inference(forward_demodulation,[],[f58,f39]) ).
fof(f63,plain,
! [X0] :
( ~ member(X0,sK4)
| member(X0,sF7) ),
inference(superposition,[],[f27,f56]) ).
fof(f67,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sF7) ),
inference(superposition,[],[f28,f56]) ).
fof(f70,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sK4) ),
inference(superposition,[],[f29,f60]) ).
fof(f71,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f29,f61]) ).
fof(f74,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sK3) ),
inference(superposition,[],[f30,f60]) ).
fof(f75,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sK3) ),
inference(superposition,[],[f30,f61]) ).
fof(f90,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sK3) ),
inference(resolution,[],[f32,f45]) ).
fof(f97,plain,
! [X2,X0,X1] :
( member(sK0(union(X0,X1),X2),X1)
| member(sK0(union(X0,X1),X2),X0)
| subset(union(X0,X1),X2) ),
inference(resolution,[],[f26,f33]) ).
fof(f98,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF5)
| member(X0,sK2) ),
inference(superposition,[],[f26,f54]) ).
fof(f99,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sK4)
| member(X0,sK2) ),
inference(superposition,[],[f26,f56]) ).
fof(f107,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK3)
| member(X0,sF5) ),
inference(superposition,[],[f31,f60]) ).
fof(f108,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sK3)
| member(X0,sF8) ),
inference(superposition,[],[f31,f61]) ).
fof(f146,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(f147,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(f152,plain,
! [X0] :
( member(sK1(sF8,X0),sK3)
| member(sK1(sF8,X0),X0)
| sF8 = X0 ),
inference(resolution,[],[f75,f43]) ).
fof(f156,plain,
! [X0] :
( member(sK1(X0,sF6),sF5)
| member(sK1(X0,sF6),X0)
| member(sK1(X0,sF6),sK2)
| sF6 = X0 ),
inference(resolution,[],[f98,f43]) ).
fof(f285,plain,
! [X0,X1] :
( member(sK0(union(X0,sK2),X1),sK3)
| member(sK0(union(X0,sK2),X1),X0)
| subset(union(X0,sK2),X1) ),
inference(resolution,[],[f97,f90]) ).
fof(f548,plain,
! [X0] :
( ~ member(sK1(X0,sF6),sK2)
| ~ member(sK1(X0,sF6),X0)
| sF6 = X0 ),
inference(superposition,[],[f146,f54]) ).
fof(f567,plain,
! [X0] :
( ~ member(sK1(X0,sF6),sF5)
| ~ member(sK1(X0,sF6),X0)
| sF6 = X0 ),
inference(superposition,[],[f147,f54]) ).
fof(f769,plain,
! [X0] :
( member(sK0(union(sF5,sK2),X0),sK3)
| subset(union(sF5,sK2),X0)
| member(sK0(union(sF5,sK2),X0),sK3) ),
inference(resolution,[],[f285,f74]) ).
fof(f783,plain,
! [X0] :
( member(sK0(union(sF5,sK2),X0),sK3)
| subset(union(sF5,sK2),X0) ),
inference(duplicate_literal_removal,[],[f769]) ).
fof(f799,plain,
! [X0] :
( member(sK0(union(sK2,sF5),X0),sK3)
| subset(union(sF5,sK2),X0) ),
inference(forward_demodulation,[],[f783,f38]) ).
fof(f811,plain,
! [X0] :
( member(sK0(sF6,X0),sK3)
| subset(union(sF5,sK2),X0) ),
inference(forward_demodulation,[],[f799,f54]) ).
fof(f821,plain,
! [X0] :
( subset(union(sK2,sF5),X0)
| member(sK0(sF6,X0),sK3) ),
inference(forward_demodulation,[],[f811,f38]) ).
fof(f830,plain,
! [X0] :
( member(sK0(sF6,X0),sK3)
| subset(sF6,X0) ),
inference(forward_demodulation,[],[f821,f54]) ).
fof(f897,plain,
( subset(sF6,sK3)
| subset(sF6,sK3) ),
inference(resolution,[],[f830,f34]) ).
fof(f904,plain,
subset(sF6,sK3),
inference(duplicate_literal_removal,[],[f897]) ).
fof(f935,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK3) ),
inference(resolution,[],[f904,f32]) ).
fof(f3377,plain,
( member(sK1(sF8,sF6),sK3)
| sF6 = sF8
| member(sK1(sF8,sF6),sK3) ),
inference(resolution,[],[f152,f935]) ).
fof(f3385,plain,
( member(sK1(sF8,sF6),sK3)
| sF6 = sF8 ),
inference(duplicate_literal_removal,[],[f3377]) ).
fof(f3392,plain,
member(sK1(sF8,sF6),sK3),
inference(forward_subsumption_resolution,[],[f3385,f59]) ).
fof(f5042,plain,
( member(sK1(sF8,sF6),sF5)
| member(sK1(sF8,sF6),sK2)
| sF6 = sF8
| member(sK1(sF8,sF6),sF7) ),
inference(resolution,[],[f156,f71]) ).
fof(f5048,plain,
( member(sK1(sF8,sF6),sF5)
| sF6 = sF8
| member(sK1(sF8,sF6),sF7) ),
inference(forward_subsumption_resolution,[],[f5042,f67]) ).
fof(f5057,plain,
( member(sK1(sF8,sF6),sF7)
| member(sK1(sF8,sF6),sF5) ),
inference(forward_subsumption_resolution,[],[f5048,f59]) ).
fof(f5909,plain,
( member(sK1(sF8,sF6),sF5)
| member(sK1(sF8,sF6),sK4)
| member(sK1(sF8,sF6),sK2) ),
inference(resolution,[],[f5057,f99]) ).
fof(f5910,plain,
( member(sK1(sF8,sF6),sK4)
| member(sK1(sF8,sF6),sK2) ),
inference(forward_subsumption_resolution,[],[f5909,f70]) ).
fof(f7055,plain,
( member(sK1(sF8,sF6),sK2)
| ~ member(sK1(sF8,sF6),sK3)
| member(sK1(sF8,sF6),sF5) ),
inference(resolution,[],[f5910,f107]) ).
fof(f7056,plain,
( member(sK1(sF8,sF6),sK2)
| member(sK1(sF8,sF6),sF7) ),
inference(resolution,[],[f5910,f63]) ).
fof(f7057,plain,
member(sK1(sF8,sF6),sF7),
inference(forward_subsumption_resolution,[],[f7056,f67]) ).
fof(f7058,plain,
( member(sK1(sF8,sF6),sF5)
| member(sK1(sF8,sF6),sK2) ),
inference(forward_subsumption_resolution,[],[f7055,f3392]) ).
fof(f7153,plain,
( ~ member(sK1(sF8,sF6),sK3)
| member(sK1(sF8,sF6),sF8) ),
inference(resolution,[],[f7057,f108]) ).
fof(f7155,plain,
member(sK1(sF8,sF6),sF8),
inference(forward_subsumption_resolution,[],[f7153,f3392]) ).
fof(f9076,plain,
( member(sK1(sF8,sF6),sK2)
| ~ member(sK1(sF8,sF6),sF8)
| sF6 = sF8 ),
inference(resolution,[],[f7058,f567]) ).
fof(f9081,plain,
( ~ member(sK1(sF8,sF6),sF8)
| sF6 = sF8 ),
inference(forward_subsumption_resolution,[],[f9076,f548]) ).
fof(f9082,plain,
sF6 = sF8,
inference(forward_subsumption_resolution,[],[f9081,f7155]) ).
fof(f9083,plain,
$false,
inference(forward_subsumption_resolution,[],[f9082,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET144+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:54:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 15.55/2.78 % (2573648)Will run a generic schedule for satisfiability detection.
% 15.55/2.78 % (2573654)% WARNING: option uhcvi not known.
% 15.55/2.78 % (2573655)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3090316597:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.55/2.78 % (2573656)dis+10_1_sil=32000:sp=arity:random_seed=436441911:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.55/2.78 % (2573653)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=891085142_2999 on theBenchmark for (2999ds/0Mi)
% 15.55/2.78 % (2573657)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3338470424:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.55/2.78 % (2573658)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1315540693:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.55/2.78 % (2573659)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=951782756:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.55/2.78 % (2573654)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3466331865:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.55/2.78 % TRYING [1]
% 15.55/2.78 % TRYING [2]
% 15.55/2.78 % TRYING [3]
% 15.55/2.78 % TRYING [4]
% 15.55/2.78 % TRYING [5]
% 15.55/2.78 % (2573656)Instruction limit reached!
% 15.55/2.78 % (2573656)------------------------------
% 15.55/2.78 % (2573656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.55/2.78 % (2573656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.55/2.78 % (2573656)CaDiCaL version: 2.1.3
% 15.55/2.78 % (2573656)Termination reason: Instruction limit
% 15.55/2.78 % (2573656)Termination phase: Saturation
% 15.55/2.78 % (2573656)Time elapsed: 0.064 s
% 15.55/2.78 % (2573656)Peak memory usage: 12 MB
% 15.55/2.78 % (2573656)Instructions burned: 103 (million)
% 15.55/2.78 % (2573657)Instruction limit reached!
% 15.55/2.78 % (2573657)------------------------------
% 15.55/2.78 % (2573657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.55/2.78 % (2573657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.55/2.78 % (2573657)CaDiCaL version: 2.1.3
% 15.55/2.78 % (2573657)Termination reason: Instruction limit
% 15.55/2.78 % (2573657)Termination phase: Saturation
% 15.55/2.78 % (2573657)Time elapsed: 0.070 s
% 15.55/2.78 % (2573657)Peak memory usage: 12 MB
% 15.55/2.78 % (2573657)Instructions burned: 116 (million)
% 15.55/2.78 % (2573658)Instruction limit reached!
% 15.55/2.78 % (2573658)------------------------------
% 15.55/2.78 % (2573658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.55/2.78 % (2573658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.55/2.78 % (2573658)CaDiCaL version: 2.1.3
% 15.55/2.78 % (2573658)Termination reason: Instruction limit
% 15.55/2.78 % (2573658)Termination phase: Saturation
% 15.55/2.78 % (2573658)Time elapsed: 0.079 s
% 15.55/2.78 % (2573658)Peak memory usage: 12 MB
% 15.55/2.78 % (2573658)Instructions burned: 132 (million)
% 15.55/2.78 % (2573667)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1479500319:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.55/2.78 % TRYING [1]
% 15.55/2.78 % TRYING [2]
% 15.55/2.78 % TRYING [3]
% 15.55/2.78 % (2573668)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=10818299:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.55/2.78 % TRYING [4]
% 15.55/2.78 % (2573669)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=1925608785:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.55/2.78 % (2573659)Instruction limit reached!
% 15.55/2.78 % (2573659)------------------------------
% 15.55/2.78 % (2573659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.55/2.78 % (2573659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.55/2.78 % (2573659)CaDiCaL version: 2.1.3
% 15.55/2.78 % (2573659)Termination reason: Instruction limit
% 15.55/2.78 % (2573659)Termination phase: Saturation
% 15.55/2.78 % (2573659)Time elapsed: 0.100 s
% 15.55/2.78 % (2573659)Peak memory usage: 12 MB
% 15.55/2.78 % (2573659)Instructions burned: 159 (million)
% 15.55/2.78 % (2573673)ott-21_1_sil=16000:fs=off:random_seed=2591318519:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.55/2.78 % TRYING [5]
% 15.55/2.78 % (2573668)Instruction limit reached!
% 15.55/2.78 % (2573668)------------------------------
% 15.55/2.78 % (2573668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573668)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573668)Termination reason: Instruction limit
% 34.85/5.45 % (2573668)Termination phase: Saturation
% 34.85/5.45 % (2573668)Time elapsed: 0.082 s
% 34.85/5.45 % (2573668)Peak memory usage: 12 MB
% 34.85/5.45 % (2573668)Instructions burned: 131 (million)
% 34.85/5.45 % (2573675)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2201121886:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 34.85/5.45 % (2573673)Instruction limit reached!
% 34.85/5.45 % (2573673)------------------------------
% 34.85/5.45 % (2573673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573673)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573673)Termination reason: Instruction limit
% 34.85/5.45 % (2573673)Termination phase: Saturation
% 34.85/5.45 % (2573673)Time elapsed: 0.087 s
% 34.85/5.45 % (2573673)Peak memory usage: 13 MB
% 34.85/5.45 % (2573673)Instructions burned: 181 (million)
% 34.85/5.45 % (2573677)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=925639264:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 34.85/5.45 % TRYING [1]
% 34.85/5.45 % TRYING [2]
% 34.85/5.45 % TRYING [3]
% 34.85/5.45 % TRYING [4]
% 34.85/5.45 % TRYING [5]
% 34.85/5.45 % TRYING [6]
% 34.85/5.45 % (2573675)Instruction limit reached!
% 34.85/5.45 % (2573675)------------------------------
% 34.85/5.45 % (2573675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573675)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573675)Termination reason: Instruction limit
% 34.85/5.45 % (2573675)Termination phase: Saturation
% 34.85/5.45 % (2573675)Time elapsed: 0.290 s
% 34.85/5.45 % (2573675)Peak memory usage: 14 MB
% 34.85/5.45 % (2573675)Instructions burned: 478 (million)
% 34.85/5.45 % (2573669)Instruction limit reached!
% 34.85/5.45 % (2573669)------------------------------
% 34.85/5.45 % (2573669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573669)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573669)Termination reason: Instruction limit
% 34.85/5.45 % (2573669)Termination phase: Saturation
% 34.85/5.45 % (2573669)Time elapsed: 0.384 s
% 34.85/5.45 % (2573669)Peak memory usage: 19 MB
% 34.85/5.45 % (2573669)Instructions burned: 685 (million)
% 34.85/5.45 % (2573667)Instruction limit reached!
% 34.85/5.45 % (2573667)------------------------------
% 34.85/5.45 % (2573667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573667)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573667)Termination reason: Instruction limit
% 34.85/5.45 % (2573667)Termination phase: Finite model building SAT solving
% 34.85/5.45 % (2573667)Time elapsed: 0.417 s
% 34.85/5.45 % (2573667)Peak memory usage: 13 MB
% 34.85/5.45 % (2573667)Instructions burned: 716 (million)
% 34.85/5.45 % (2573679)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1851561537:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 34.85/5.45 % (2573680)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=565994167:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 34.85/5.45 % TRYING [14]
% 34.85/5.45 % (2573683)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=2201431919: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)
% 34.85/5.45 % TRYING [6]
% 34.85/5.45 % (2573677)Instruction limit reached!
% 34.85/5.45 % (2573677)------------------------------
% 34.85/5.45 % (2573677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573677)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573677)Termination reason: Instruction limit
% 34.85/5.45 % (2573677)Termination phase: Finite model building SAT solving
% 34.85/5.45 % (2573677)Time elapsed: 0.471 s
% 34.85/5.45 % (2573677)Peak memory usage: 12 MB
% 34.85/5.45 % (2573677)Instructions burned: 867 (million)
% 34.85/5.45 % (2573685)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1831449509:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 34.85/5.45 % (2573680)Instruction limit reached!
% 34.85/5.45 % (2573680)------------------------------
% 34.85/5.45 % (2573680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573680)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573680)Termination reason: Instruction limit
% 34.85/5.45 % (2573680)Termination phase: Finite model building SAT solving
% 34.85/5.45 % (2573680)Time elapsed: 0.338 s
% 34.85/5.45 % (2573680)Peak memory usage: 45 MB
% 34.85/5.45 % (2573680)Instructions burned: 892 (million)
% 34.85/5.45 % (2573687)fmb+10_1_sil=64000:random_seed=1283437132:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 34.85/5.45 % TRYING [1]
% 34.85/5.45 % TRYING [2]
% 34.85/5.45 % TRYING [3]
% 34.85/5.45 % TRYING [4]
% 34.85/5.45 % (2573683)Instruction limit reached!
% 34.85/5.45 % (2573683)------------------------------
% 34.85/5.45 % (2573683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573683)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573683)Termination reason: Instruction limit
% 34.85/5.45 % (2573683)Termination phase: Saturation
% 34.85/5.45 % (2573683)Time elapsed: 0.378 s
% 34.85/5.45 % (2573683)Peak memory usage: 17 MB
% 34.85/5.45 % (2573683)Instructions burned: 693 (million)
% 34.85/5.45 % TRYING [5]
% 34.85/5.45 % (2573689)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1615352031:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 34.85/5.45 % TRYING [20]
% 34.85/5.45 % (2573679)Instruction limit reached!
% 34.85/5.45 % (2573679)------------------------------
% 34.85/5.45 % (2573679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573679)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573679)Termination reason: Instruction limit
% 34.85/5.45 % (2573679)Termination phase: Saturation
% 34.85/5.45 % (2573679)Time elapsed: 0.655 s
% 34.85/5.45 % (2573679)Peak memory usage: 18 MB
% 34.85/5.45 % (2573679)Instructions burned: 1179 (million)
% 34.85/5.45 % (2573691)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2348700795:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 34.85/5.45 % TRYING [8]
% 34.85/5.45 % TRYING [6]
% 34.85/5.45 % (2573685)Instruction limit reached!
% 34.85/5.45 % (2573685)------------------------------
% 34.85/5.45 % (2573685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573685)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573685)Termination reason: Instruction limit
% 34.85/5.45 % (2573685)Termination phase: Saturation
% 34.85/5.45 % (2573685)Time elapsed: 0.502 s
% 34.85/5.45 % (2573685)Peak memory usage: 18 MB
% 34.85/5.45 % (2573685)Instructions burned: 879 (million)
% 34.85/5.45 % (2573693)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3544566402:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 34.85/5.45 % (2573691)Instruction limit reached!
% 34.85/5.45 % (2573691)------------------------------
% 34.85/5.45 % (2573691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573691)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573691)Termination reason: Instruction limit
% 34.85/5.45 % (2573691)Termination phase: Finite model building SAT solving
% 34.85/5.45 % (2573691)Time elapsed: 0.470 s
% 34.85/5.45 % (2573691)Peak memory usage: 20 MB
% 34.85/5.45 % (2573691)Instructions burned: 921 (million)
% 34.85/5.45 % (2573695)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3946532524:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 34.85/5.45 % TRYING [7]
% 34.85/5.45 % TRYING [7]
% 34.85/5.45 % (2573695)Instruction limit reached!
% 34.85/5.45 % (2573695)------------------------------
% 34.85/5.45 % (2573695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573695)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573695)Termination reason: Instruction limit
% 34.85/5.45 % (2573695)Termination phase: Saturation
% 34.85/5.45 % (2573695)Time elapsed: 0.634 s
% 34.85/5.45 % (2573695)Peak memory usage: 19 MB
% 34.85/5.45 % (2573695)Instructions burned: 1474 (million)
% 34.85/5.45 % (2573697)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1123536079:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 34.85/5.45 % TRYING [77]
% 34.85/5.45 % TRYING [8]
% 34.85/5.45 % (2573693)Instruction limit reached!
% 34.85/5.45 % (2573693)------------------------------
% 34.85/5.45 % (2573693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573693)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573693)Termination reason: Instruction limit
% 34.85/5.45 % (2573693)Termination phase: Saturation
% 34.85/5.45 % (2573693)Time elapsed: 2.609 s
% 34.85/5.45 % (2573693)Peak memory usage: 27 MB
% 34.85/5.45 % (2573693)Instructions burned: 5132 (million)
% 34.85/5.45 % (2573699)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1518143304:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 34.85/5.45 % TRYING [16]
% 34.85/5.45 % (2573697)Instruction limit reached!
% 34.85/5.45 % (2573697)------------------------------
% 34.85/5.45 % (2573697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573697)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573697)Termination reason: Instruction limit
% 34.85/5.45 % (2573697)Termination phase: Finite model building constraint generation
% 34.85/5.45 % (2573697)Time elapsed: 2.321 s
% 34.85/5.45 % (2573697)Peak memory usage: 478 MB
% 34.85/5.45 % (2573697)Instructions burned: 6326 (million)
% 34.85/5.45 % (2573699)Instruction limit reached!
% 34.85/5.45 % (2573699)------------------------------
% 34.85/5.45 % (2573699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.45 % (2573699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.45 % (2573699)CaDiCaL version: 2.1.3
% 34.85/5.45 % (2573699)Termination reason: Instruction limit
% 34.85/5.45 % (2573699)Termination phase: Finite model building constraint generation
% 34.85/5.45 % (2573699)Time elapsed: 0.843 s
% 34.85/5.45 % (2573699)Peak memory usage: 151 MB
% 34.85/5.45 % (2573699)Instructions burned: 2176 (million)
% 34.85/5.45 % (2573701)ott-2_1_sil=16000:newcnf=on:random_seed=1897418915:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2952 on theBenchmark for (2952ds/869Mi)
% 34.85/5.45 % (2573703)ott+10_1_sil=32000:tgt=ground:random_seed=3822514816:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 34.85/5.45 % (2573703) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2573648-2573703"...
% 34.85/5.45 % (2573703)...printing done.
% 34.85/5.45 % (2573703)Refutation found. Thanks to Tanya!
% 34.85/5.45 % SZS status Theorem for theBenchmark
% 34.85/5.45 % SZS output start Proof for theBenchmark
% See solution above
% 34.85/5.46 % (2573703)------------------------------
% 34.85/5.46 % (2573703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.46 % (2573703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.46 % (2573703)CaDiCaL version: 2.1.3
% 34.85/5.46 % (2573703)Termination reason: Refutation
% 34.85/5.46 % (2573703)Time elapsed: 0.212 s
% 34.85/5.46 % (2573703)Peak memory usage: 15 MB
% 34.85/5.46 % (2573703)Instructions burned: 362 (million)
% 34.85/5.46 % (2573648)Success in time 5.038 s
% 34.85/5.46 % Vampire exiting
%------------------------------------------------------------------------------