%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU138+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:52:03 PM UTC 2026
% Result : Theorem 20.64s 5.68s
% Output : Refutation 20.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 72 ( 18 unt; 3 def)
% Number of atoms : 267 ( 43 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 315 ( 120 ~; 134 |; 53 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 142 ( 132 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f6,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f17,conjecture,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f27,plain,
? [X0,X1] : set_intersection2(X0,X1) != set_difference(X0,set_difference(X0,X1)),
inference(ennf_transformation,[],[f18]) ).
fof(f31,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK1(X0,X1,X2),X0)
| ~ in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X1)
| ~ in(sK2(X0,X1,X2),X2) )
& ( ( in(sK2(X0,X1,X2),X0)
& ~ in(sK2(X0,X1,X2),X1) )
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f42]) ).
fof(f46,plain,
set_intersection2(sK5,sK6) != set_difference(sK5,set_difference(sK5,sK6)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f27]) ).
fof(f51,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f53,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f57,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f61,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f62,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f63,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f74,plain,
set_intersection2(sK5,sK6) != set_difference(sK5,set_difference(sK5,sK6)),
inference(cnf_transformation,[],[f46]) ).
fof(f81,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f57]) ).
fof(f82,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f56]) ).
fof(f83,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f55]) ).
fof(f84,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f63]) ).
fof(f85,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f62]) ).
fof(f86,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f61]) ).
fof(f87,definition,
sF7 = set_intersection2(sK5,sK6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f88,plain,
set_intersection2(sK5,sK6) = sF7,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF8 = set_difference(sK5,sK6),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f90,plain,
set_difference(sK5,sK6) = sF8,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF9 = set_difference(sK5,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f92,plain,
set_difference(sK5,sF8) = sF9,
inference(reorient_equations,[],[f91]) ).
fof(f93,plain,
sF7 != sF9,
inference(definition_folding,[],[f74,f92,f90,f88]) ).
fof(f117,plain,
! [X0] :
( ~ in(X0,sF7)
| in(X0,sK5) ),
inference(superposition,[],[f82,f88]) ).
fof(f124,plain,
! [X0] :
( ~ in(X0,sF7)
| in(X0,sK6) ),
inference(superposition,[],[f83,f88]) ).
fof(f131,plain,
! [X0] :
( ~ in(X0,sF9)
| in(X0,sK5) ),
inference(superposition,[],[f85,f92]) ).
fof(f132,plain,
! [X0] :
( in(sK0(sF7,X0),sK5)
| subset(sF7,X0) ),
inference(resolution,[],[f117,f53]) ).
fof(f136,plain,
! [X0] :
( ~ in(X0,sF8)
| ~ in(X0,sK6) ),
inference(superposition,[],[f86,f90]) ).
fof(f137,plain,
! [X0] :
( ~ in(X0,sF9)
| ~ in(X0,sF8) ),
inference(superposition,[],[f86,f92]) ).
fof(f147,plain,
! [X0] :
( in(sK0(sF7,X0),sK6)
| subset(sF7,X0) ),
inference(resolution,[],[f124,f53]) ).
fof(f157,plain,
! [X0] :
( ~ in(X0,sK6)
| ~ in(X0,sK5)
| in(X0,sF7) ),
inference(superposition,[],[f81,f88]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ in(sK0(X0,set_difference(X1,X2)),X1)
| in(sK0(X0,set_difference(X1,X2)),X2)
| subset(X0,set_difference(X1,X2)) ),
inference(resolution,[],[f84,f54]) ).
fof(f168,plain,
! [X0] :
( ~ in(X0,sK5)
| in(X0,sF8)
| in(X0,sK6) ),
inference(superposition,[],[f84,f90]) ).
fof(f170,plain,
! [X0] :
( in(sK0(sF9,X0),sK5)
| subset(sF9,X0) ),
inference(resolution,[],[f131,f53]) ).
fof(f230,plain,
! [X0] :
( ~ in(sK0(sF9,X0),sF8)
| subset(sF9,X0) ),
inference(resolution,[],[f137,f53]) ).
fof(f804,plain,
! [X0] :
( ~ in(sK0(X0,sF9),sK5)
| in(sK0(X0,sF9),sF8)
| subset(X0,sF9) ),
inference(superposition,[],[f165,f92]) ).
fof(f1439,plain,
! [X0] :
( subset(sF9,X0)
| in(sK0(sF9,X0),sF8)
| in(sK0(sF9,X0),sK6) ),
inference(resolution,[],[f170,f168]) ).
fof(f1448,plain,
! [X0] :
( in(sK0(sF9,X0),sK6)
| subset(sF9,X0) ),
inference(forward_subsumption_resolution,[],[f1439,f230]) ).
fof(f2184,plain,
! [X0] :
( subset(sF9,X0)
| ~ in(sK0(sF9,X0),sK5)
| in(sK0(sF9,X0),sF7) ),
inference(resolution,[],[f1448,f157]) ).
fof(f2193,plain,
! [X0] :
( in(sK0(sF9,X0),sF7)
| subset(sF9,X0) ),
inference(forward_subsumption_resolution,[],[f2184,f170]) ).
fof(f3479,plain,
( subset(sF9,sF7)
| subset(sF9,sF7) ),
inference(resolution,[],[f2193,f54]) ).
fof(f3486,plain,
subset(sF9,sF7),
inference(duplicate_literal_removal,[],[f3479]) ).
fof(f3501,plain,
( ~ subset(sF7,sF9)
| sF7 = sF9 ),
inference(resolution,[],[f3486,f51]) ).
fof(f3502,plain,
~ subset(sF7,sF9),
inference(forward_subsumption_resolution,[],[f3501,f93]) ).
fof(f7993,plain,
( in(sK0(sF7,sF9),sF8)
| subset(sF7,sF9)
| subset(sF7,sF9) ),
inference(resolution,[],[f804,f132]) ).
fof(f8026,plain,
( in(sK0(sF7,sF9),sF8)
| subset(sF7,sF9) ),
inference(duplicate_literal_removal,[],[f7993]) ).
fof(f8027,plain,
in(sK0(sF7,sF9),sF8),
inference(forward_subsumption_resolution,[],[f8026,f3502]) ).
fof(f8030,plain,
~ in(sK0(sF7,sF9),sK6),
inference(resolution,[],[f8027,f136]) ).
fof(f8150,plain,
subset(sF7,sF9),
inference(resolution,[],[f8030,f147]) ).
fof(f8151,plain,
$false,
inference(forward_subsumption_resolution,[],[f8150,f3502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU138+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.58 % Computer : n001.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Mon Sep 28 03:47:21 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.62 Running first-order model finding
% 0.10/0.62 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.04/2.94 % (4191401)Will run a generic schedule for satisfiability detection.
% 16.04/2.94 % (4191411)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=387078486:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.04/2.94 % (4191407)% WARNING: option uhcvi not known.
% 16.04/2.94 % (4191406)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1775853900_2999 on theBenchmark for (2999ds/0Mi)
% 16.04/2.94 % (4191407)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=670260376:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.04/2.94 % (4191409)dis+10_1_sil=32000:sp=arity:random_seed=3126666174:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.04/2.94 % (4191408)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1925075205:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.04/2.94 % (4191410)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2013582416:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.04/2.94 % (4191412)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3347274080:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.04/2.94 % TRYING [1]
% 16.04/2.94 % TRYING [2]
% 16.04/2.94 % TRYING [3]
% 16.04/2.94 % TRYING [4]
% 16.04/2.94 % (4191411)Instruction limit reached!
% 16.04/2.94 % (4191411)------------------------------
% 16.04/2.94 % (4191411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/2.94 % (4191411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/2.94 % (4191411)CaDiCaL version: 2.1.3
% 16.04/2.94 % (4191411)Termination reason: Instruction limit
% 16.04/2.94 % (4191411)Termination phase: Saturation
% 16.04/2.94 % (4191411)Time elapsed: 0.039 s
% 16.04/2.94 % (4191411)Peak memory usage: 12 MB
% 16.04/2.94 % (4191411)Instructions burned: 131 (million)
% 16.04/2.94 % TRYING [5]
% 16.04/2.94 % (4191420)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1403013729:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.04/2.94 % TRYING [1]
% 16.04/2.94 % TRYING [2]
% 16.04/2.94 % TRYING [3]
% 16.04/2.94 % TRYING [4]
% 16.04/2.94 % TRYING [5]
% 16.04/2.94 % (4191409)Instruction limit reached!
% 16.04/2.94 % (4191409)------------------------------
% 16.04/2.94 % (4191409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/2.94 % (4191409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/2.94 % (4191409)CaDiCaL version: 2.1.3
% 16.04/2.94 % (4191409)Termination reason: Instruction limit
% 16.04/2.94 % (4191409)Termination phase: Saturation
% 16.04/2.94 % (4191409)Time elapsed: 0.061 s
% 16.04/2.94 % (4191409)Peak memory usage: 12 MB
% 16.04/2.94 % (4191409)Instructions burned: 103 (million)
% 16.04/2.94 % (4191410)Instruction limit reached!
% 16.04/2.94 % (4191410)------------------------------
% 16.04/2.94 % (4191410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/2.94 % (4191410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/2.94 % (4191410)CaDiCaL version: 2.1.3
% 16.04/2.94 % (4191410)Termination reason: Instruction limit
% 16.04/2.94 % (4191410)Termination phase: Saturation
% 16.04/2.94 % (4191410)Time elapsed: 0.066 s
% 16.04/2.94 % (4191410)Peak memory usage: 12 MB
% 16.04/2.94 % (4191410)Instructions burned: 117 (million)
% 16.04/2.94 % (4191422)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2117790025:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.04/2.94 % (4191423)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=2503198312:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.04/2.94 % (4191412)Instruction limit reached!
% 16.04/2.94 % (4191412)------------------------------
% 16.04/2.94 % (4191412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.04/2.94 % (4191412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.04/2.94 % (4191412)CaDiCaL version: 2.1.3
% 16.04/2.94 % (4191412)Termination reason: Instruction limit
% 16.04/2.94 % (4191412)Termination phase: Saturation
% 16.04/2.94 % (4191412)Time elapsed: 0.091 s
% 16.04/2.94 % (4191412)Peak memory usage: 12 MB
% 16.04/2.94 % (4191412)Instructions burned: 159 (million)
% 16.04/2.94 % TRYING [6]
% 16.04/2.94 % (4191426)ott-21_1_sil=16000:fs=off:random_seed=2969779400:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.04/2.94 % TRYING [6]
% 16.04/2.94 % (4191422)Instruction limit reached!
% 16.04/2.94 % (4191422)------------------------------
% 16.04/2.94 % (4191422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191422)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191422)Termination reason: Instruction limit
% 20.64/5.68 % (4191422)Termination phase: Saturation
% 20.64/5.68 % (4191422)Time elapsed: 0.081 s
% 20.64/5.68 % (4191422)Peak memory usage: 12 MB
% 20.64/5.68 % (4191422)Instructions burned: 132 (million)
% 20.64/5.68 % (4191428)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=334612464:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 20.64/5.68 % (4191426)Instruction limit reached!
% 20.64/5.68 % (4191426)------------------------------
% 20.64/5.68 % (4191426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191426)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191426)Termination reason: Instruction limit
% 20.64/5.68 % (4191426)Termination phase: Saturation
% 20.64/5.68 % (4191426)Time elapsed: 0.092 s
% 20.64/5.68 % (4191426)Peak memory usage: 12 MB
% 20.64/5.68 % (4191426)Instructions burned: 182 (million)
% 20.64/5.68 % (4191430)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=331463008:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 20.64/5.68 % TRYING [1]
% 20.64/5.68 % TRYING [2]
% 20.64/5.68 % TRYING [3]
% 20.64/5.68 % TRYING [4]
% 20.64/5.68 % (4191420)Instruction limit reached!
% 20.64/5.68 % (4191420)------------------------------
% 20.64/5.68 % (4191420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191420)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191420)Termination reason: Instruction limit
% 20.64/5.68 % (4191420)Termination phase: Finite model building SAT solving
% 20.64/5.68 % (4191420)Time elapsed: 0.207 s
% 20.64/5.68 % (4191420)Peak memory usage: 20 MB
% 20.64/5.68 % (4191420)Instructions burned: 714 (million)
% 20.64/5.68 % TRYING [5]
% 20.64/5.68 % (4191432)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3146647765:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 20.64/5.68 % TRYING [6]
% 20.64/5.68 % (4191423)Instruction limit reached!
% 20.64/5.68 % (4191423)------------------------------
% 20.64/5.68 % (4191423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191423)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191423)Termination reason: Instruction limit
% 20.64/5.68 % (4191423)Termination phase: Saturation
% 20.64/5.68 % (4191423)Time elapsed: 0.366 s
% 20.64/5.68 % (4191423)Peak memory usage: 17 MB
% 20.64/5.68 % (4191423)Instructions burned: 685 (million)
% 20.64/5.68 % TRYING [7]
% 20.64/5.68 % (4191434)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2359152533:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 20.64/5.68 % (4191428)Instruction limit reached!
% 20.64/5.68 % (4191428)------------------------------
% 20.64/5.68 % (4191428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191428)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191428)Termination reason: Instruction limit
% 20.64/5.68 % (4191428)Termination phase: Saturation
% 20.64/5.68 % (4191428)Time elapsed: 0.314 s
% 20.64/5.68 % (4191428)Peak memory usage: 13 MB
% 20.64/5.68 % (4191428)Instructions burned: 478 (million)
% 20.64/5.68 % (4191436)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=1725643599: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)
% 20.64/5.68 % TRYING [14]
% 20.64/5.68 % (4191430)Instruction limit reached!
% 20.64/5.68 % (4191430)------------------------------
% 20.64/5.68 % (4191430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191430)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191430)Termination reason: Instruction limit
% 20.64/5.68 % (4191430)Termination phase: Finite model building SAT solving
% 20.64/5.68 % (4191430)Time elapsed: 0.370 s
% 20.64/5.68 % (4191430)Peak memory usage: 21 MB
% 20.64/5.68 % (4191430)Instructions burned: 865 (million)
% 20.64/5.68 % (4191438)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2649181309:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 20.64/5.68 % (4191432)Instruction limit reached!
% 20.64/5.68 % (4191432)------------------------------
% 20.64/5.68 % (4191432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191432)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191432)Termination reason: Instruction limit
% 20.64/5.68 % (4191432)Termination phase: Saturation
% 20.64/5.68 % (4191432)Time elapsed: 0.369 s
% 20.64/5.68 % (4191432)Peak memory usage: 20 MB
% 20.64/5.68 % (4191432)Instructions burned: 1181 (million)
% 20.64/5.68 % (4191440)fmb+10_1_sil=64000:random_seed=3460988308:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 20.64/5.68 % TRYING [1]
% 20.64/5.68 % TRYING [2]
% 20.64/5.68 % TRYING [3]
% 20.64/5.68 % TRYING [4]
% 20.64/5.68 % TRYING [5]
% 20.64/5.68 % TRYING [6]
% 20.64/5.68 % TRYING [7]
% 20.64/5.68 % (4191434)Instruction limit reached!
% 20.64/5.68 % (4191434)------------------------------
% 20.64/5.68 % (4191434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191434)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191434)Termination reason: Instruction limit
% 20.64/5.68 % (4191434)Termination phase: Finite model building constraint generation
% 20.64/5.68 % (4191434)Time elapsed: 0.331 s
% 20.64/5.68 % (4191434)Peak memory usage: 80 MB
% 20.64/5.68 % (4191434)Instructions burned: 889 (million)
% 20.64/5.68 % (4191442)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2487685448:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 20.64/5.68 % TRYING [20]
% 20.64/5.68 % TRYING [7]
% 20.64/5.68 % (4191436)Instruction limit reached!
% 20.64/5.68 % (4191436)------------------------------
% 20.64/5.68 % (4191436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191436)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191436)Termination reason: Instruction limit
% 20.64/5.68 % (4191436)Termination phase: Saturation
% 20.64/5.68 % (4191436)Time elapsed: 0.361 s
% 20.64/5.68 % (4191436)Peak memory usage: 16 MB
% 20.64/5.68 % (4191436)Instructions burned: 692 (million)
% 20.64/5.68 % (4191444)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=311642886:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 20.64/5.68 % TRYING [8]
% 20.64/5.68 % TRYING [8]
% 20.64/5.68 % (4191438)Instruction limit reached!
% 20.64/5.68 % (4191438)------------------------------
% 20.64/5.68 % (4191438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191438)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191438)Termination reason: Instruction limit
% 20.64/5.68 % (4191438)Termination phase: Saturation
% 20.64/5.68 % (4191438)Time elapsed: 0.488 s
% 20.64/5.68 % (4191438)Peak memory usage: 18 MB
% 20.64/5.68 % (4191438)Instructions burned: 880 (million)
% 20.64/5.68 % (4191446)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3100938142:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 20.64/5.68 % (4191444)Instruction limit reached!
% 20.64/5.68 % (4191444)------------------------------
% 20.64/5.68 % (4191444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191444)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191444)Termination reason: Instruction limit
% 20.64/5.68 % (4191444)Termination phase: Finite model building SAT solving
% 20.64/5.68 % (4191444)Time elapsed: 0.399 s
% 20.64/5.68 % (4191444)Peak memory usage: 37 MB
% 20.64/5.68 % (4191444)Instructions burned: 920 (million)
% 20.64/5.68 % (4191448)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2173226561:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 20.64/5.68 % TRYING [9]
% 20.64/5.68 % (4191448)Instruction limit reached!
% 20.64/5.68 % (4191448)------------------------------
% 20.64/5.68 % (4191448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191448)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191448)Termination reason: Instruction limit
% 20.64/5.68 % (4191448)Termination phase: Saturation
% 20.64/5.68 % (4191448)Time elapsed: 0.922 s
% 20.64/5.68 % (4191448)Peak memory usage: 32 MB
% 20.64/5.68 % (4191448)Instructions burned: 1474 (million)
% 20.64/5.68 % (4191450)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=333869055:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 20.64/5.68 % TRYING [77]
% 20.64/5.68 % TRYING [8]
% 20.64/5.68 % TRYING [10]
% 20.64/5.68 % (4191446)Instruction limit reached!
% 20.64/5.68 % (4191446)------------------------------
% 20.64/5.68 % (4191446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191446)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191446)Termination reason: Instruction limit
% 20.64/5.68 % (4191446)Termination phase: Saturation
% 20.64/5.68 % (4191446)Time elapsed: 2.601 s
% 20.64/5.68 % (4191446)Peak memory usage: 27 MB
% 20.64/5.68 % (4191446)Instructions burned: 5132 (million)
% 20.64/5.68 % (4191452)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=30047609:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 20.64/5.68 % TRYING [16]
% 20.64/5.68 % (4191452)Instruction limit reached!
% 20.64/5.68 % (4191452)------------------------------
% 20.64/5.68 % (4191452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191452)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191452)Termination reason: Instruction limit
% 20.64/5.68 % (4191452)Termination phase: Finite model building constraint generation
% 20.64/5.68 % (4191452)Time elapsed: 0.737 s
% 20.64/5.68 % (4191452)Peak memory usage: 135 MB
% 20.64/5.68 % (4191452)Instructions burned: 2175 (million)
% 20.64/5.68 % (4191454)ott-2_1_sil=16000:newcnf=on:random_seed=4149502738:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 20.64/5.68 % (4191450)Instruction limit reached!
% 20.64/5.68 % (4191450)------------------------------
% 20.64/5.68 % (4191450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191450)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191450)Termination reason: Instruction limit
% 20.64/5.68 % (4191450)Termination phase: Finite model building constraint generation
% 20.64/5.68 % (4191450)Time elapsed: 2.346 s
% 20.64/5.68 % (4191450)Peak memory usage: 509 MB
% 20.64/5.68 % (4191450)Instructions burned: 6325 (million)
% 20.64/5.68 % TRYING [11]
% 20.64/5.68 % (4191456)ott+10_1_sil=32000:tgt=ground:random_seed=3507747293:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 20.64/5.68 % TRYING [9]
% 20.64/5.68 % (4191456) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4191401-4191456"...
% 20.64/5.68 % (4191456)...printing done.
% 20.64/5.68 % (4191456)Refutation found. Thanks to Tanya!
% 20.64/5.68 % SZS status Theorem for theBenchmark
% 20.64/5.68 % SZS output start Proof for theBenchmark
% See solution above
% 20.64/5.68 % (4191456)------------------------------
% 20.64/5.68 % (4191456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.64/5.68 % (4191456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.64/5.68 % (4191456)CaDiCaL version: 2.1.3
% 20.64/5.68 % (4191456)Termination reason: Refutation
% 20.64/5.68 % (4191456)Time elapsed: 0.217 s
% 20.64/5.68 % (4191456)Peak memory usage: 15 MB
% 20.64/5.68 % (4191456)Instructions burned: 383 (million)
% 20.64/5.68 % (4191401)Success in time 5.051 s
% 20.64/5.68 % Vampire exiting
%------------------------------------------------------------------------------