%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET701+4 : 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 : n018.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 12:44:28 PM UTC 2026
% Result : Theorem 2.14s 0.98s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 101 ( 13 unt; 9 def)
% Number of atoms : 269 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 273 ( 105 ~; 121 |; 31 &)
% ( 11 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 74 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( member(X0,X2)
& ~ member(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',difference) ).
fof(f12,conjecture,
! [X0,X1,X2,X3] :
( ( subset(X0,X3)
& subset(X1,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI35) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X0,X3)
& subset(X1,X3) )
=> ( subset(X0,X1)
<=> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
? [X0,X1,X2,X3] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) )
& subset(X0,X3)
& subset(X1,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f17,plain,
? [X0,X1,X2,X3] :
( ( subset(X0,X1)
<~> subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2))) )
& subset(X0,X3)
& subset(X1,X3) ),
inference(flattening,[],[f16]) ).
fof(f18,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,[],[f14]) ).
fof(f19,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,[],[f18]) ).
fof(f20,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))],[f19]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f22]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f26]) ).
fof(f37,plain,
? [X0,X1,X2,X3] :
( ( ~ subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| ~ subset(X0,X1) )
& ( subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| subset(X0,X1) )
& subset(X0,X3)
& subset(X1,X3) ),
inference(nnf_transformation,[],[f17]) ).
fof(f38,plain,
? [X0,X1,X2,X3] :
( ( ~ subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| ~ subset(X0,X1) )
& ( subset(intersection(X0,difference(X3,X1)),intersection(X2,difference(X3,X2)))
| subset(X0,X1) )
& subset(X0,X3)
& subset(X1,X3) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
( ( ~ subset(intersection(sK3,difference(sK6,sK4)),intersection(sK5,difference(sK6,sK5)))
| ~ subset(sK3,sK4) )
& ( subset(intersection(sK3,difference(sK6,sK4)),intersection(sK5,difference(sK6,sK5)))
| subset(sK3,sK4) )
& subset(sK3,sK6)
& subset(sK4,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f38]) ).
fof(f40,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f42,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f47,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f54,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f67,plain,
subset(sK3,sK6),
inference(cnf_transformation,[],[f39]) ).
fof(f68,plain,
( subset(intersection(sK3,difference(sK6,sK4)),intersection(sK5,difference(sK6,sK5)))
| subset(sK3,sK4) ),
inference(cnf_transformation,[],[f39]) ).
fof(f69,plain,
( ~ subset(intersection(sK3,difference(sK6,sK4)),intersection(sK5,difference(sK6,sK5)))
| ~ subset(sK3,sK4) ),
inference(cnf_transformation,[],[f39]) ).
fof(f73,definition,
sF7 = difference(sK6,sK4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f74,plain,
difference(sK6,sK4) = sF7,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF8 = intersection(sK3,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f76,plain,
intersection(sK3,sF7) = sF8,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF9 = difference(sK6,sK5),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f78,plain,
difference(sK6,sK5) = sF9,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF10 = intersection(sK5,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f80,plain,
intersection(sK5,sF9) = sF10,
inference(reorient_equations,[],[f79]) ).
fof(f81,plain,
( ~ subset(sF8,sF10)
| ~ subset(sK3,sK4) ),
inference(definition_folding,[],[f69,f80,f78,f76,f74]) ).
fof(f82,plain,
( subset(sF8,sF10)
| subset(sK3,sK4) ),
inference(definition_folding,[],[f68,f80,f78,f76,f74]) ).
fof(f84,definition,
( spl11_1
<=> subset(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f85,plain,
( ~ subset(sK3,sK4)
| spl11_1 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( subset(sK3,sK4)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl11_2
<=> subset(sF8,sF10) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f89,plain,
( ~ subset(sF8,sF10)
| spl11_2 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( subset(sF8,sF10)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f82,f88,f84]) ).
fof(f92,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f81,f88,f84]) ).
fof(f99,plain,
( member(sK0(sK3,sK4),sK3)
| spl11_1 ),
inference(resolution,[],[f41,f85]) ).
fof(f102,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f45,f76]) ).
fof(f103,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF9) ),
inference(superposition,[],[f45,f80]) ).
fof(f104,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sK3) ),
inference(superposition,[],[f46,f76]) ).
fof(f105,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sK5) ),
inference(superposition,[],[f46,f80]) ).
fof(f108,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sK4) ),
inference(superposition,[],[f52,f74]) ).
fof(f109,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sK5) ),
inference(superposition,[],[f52,f78]) ).
fof(f117,plain,
( ! [X0] :
( ~ subset(sK3,X0)
| member(sK0(sK3,sK4),X0) )
| spl11_1 ),
inference(resolution,[],[f40,f99]) ).
fof(f153,plain,
( member(sK0(sK3,sK4),sK6)
| spl11_1 ),
inference(resolution,[],[f117,f67]) ).
fof(f182,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sK3)
| member(X0,sF8) ),
inference(superposition,[],[f47,f76]) ).
fof(f197,plain,
! [X0] :
( ~ member(X0,sK6)
| member(X0,sF7)
| member(X0,sK4) ),
inference(superposition,[],[f54,f74]) ).
fof(f252,definition,
( spl11_3
<=> member(sK0(sK3,sK4),sK5) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f253,plain,
( member(sK0(sK3,sK4),sK5)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f261,definition,
( spl11_5
<=> member(sK0(sK3,sK4),sK4) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f262,plain,
( member(sK0(sK3,sK4),sK4)
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f263,plain,
( ~ member(sK0(sK3,sK4),sK4)
| spl11_5 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f314,definition,
( spl11_7
<=> member(sK0(sK3,sK4),sF8) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f316,plain,
( member(sK0(sK3,sK4),sF8)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f320,plain,
( member(sK0(sK3,sK4),sF7)
| member(sK0(sK3,sK4),sK4)
| spl11_1 ),
inference(resolution,[],[f197,f153]) ).
fof(f324,plain,
( member(sK0(sK3,sK4),sF7)
| spl11_1
| spl11_5 ),
inference(forward_subsumption_resolution,[],[f320,f263]) ).
fof(f325,plain,
( ~ member(sK0(sK3,sK4),sK3)
| member(sK0(sK3,sK4),sF8)
| spl11_1
| spl11_5 ),
inference(resolution,[],[f324,f182]) ).
fof(f330,plain,
( member(sK0(sK3,sK4),sF8)
| spl11_1
| spl11_5 ),
inference(forward_subsumption_resolution,[],[f325,f99]) ).
fof(f331,plain,
( spl11_7
| spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f330,f261,f84,f314]) ).
fof(f337,plain,
( subset(sK3,sK4)
| ~ spl11_5 ),
inference(resolution,[],[f262,f42]) ).
fof(f340,plain,
( $false
| spl11_1
| ~ spl11_5 ),
inference(forward_subsumption_resolution,[],[f337,f85]) ).
fof(f341,plain,
( spl11_1
| ~ spl11_5 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f389,plain,
( ! [X0] :
( ~ subset(sF8,X0)
| member(sK0(sK3,sK4),X0) )
| ~ spl11_7 ),
inference(resolution,[],[f316,f40]) ).
fof(f813,plain,
( member(sK0(sK3,sK4),sF10)
| ~ spl11_2
| ~ spl11_7 ),
inference(resolution,[],[f389,f90]) ).
fof(f825,plain,
( member(sK0(sK3,sK4),sK5)
| ~ spl11_2
| ~ spl11_7 ),
inference(resolution,[],[f813,f105]) ).
fof(f826,plain,
( member(sK0(sK3,sK4),sF9)
| ~ spl11_2
| ~ spl11_7 ),
inference(resolution,[],[f813,f103]) ).
fof(f835,plain,
( member(sK0(sF8,sF10),sF8)
| spl11_2 ),
inference(resolution,[],[f89,f41]) ).
fof(f841,plain,
( member(sK0(sF8,sF10),sK3)
| spl11_2 ),
inference(resolution,[],[f835,f104]) ).
fof(f842,plain,
( member(sK0(sF8,sF10),sF7)
| spl11_2 ),
inference(resolution,[],[f835,f102]) ).
fof(f859,plain,
( ! [X0] :
( ~ subset(sK3,X0)
| member(sK0(sF8,sF10),X0) )
| spl11_2 ),
inference(resolution,[],[f841,f40]) ).
fof(f871,plain,
( ~ member(sK0(sF8,sF10),sK4)
| spl11_2 ),
inference(resolution,[],[f842,f108]) ).
fof(f1066,plain,
( member(sK0(sF8,sF10),sK4)
| ~ spl11_1
| spl11_2 ),
inference(resolution,[],[f859,f86]) ).
fof(f1069,plain,
( $false
| ~ spl11_1
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f1066,f871]) ).
fof(f1070,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1071,plain,
( spl11_3
| ~ spl11_2
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f825,f314,f88,f252]) ).
fof(f1340,plain,
( ~ member(sK0(sK3,sK4),sK5)
| ~ spl11_2
| ~ spl11_7 ),
inference(resolution,[],[f826,f109]) ).
fof(f1348,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f1340,f253]) ).
fof(f1349,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_7 ),
inference(avatar_contradiction_clause,[],[f1348]) ).
cnf(s1,plain,
( spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f91]) ).
cnf(s2,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(sat_conversion,[],[f92]) ).
cnf(s6,plain,
( spl11_1
| spl11_5
| spl11_7 ),
inference(sat_conversion,[],[f331]) ).
cnf(s7,plain,
( spl11_1
| ~ spl11_5 ),
inference(sat_conversion,[],[f341]) ).
cnf(s13,plain,
( ~ spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s15,plain,
( ~ spl11_2
| spl11_3
| ~ spl11_7 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s16,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_7 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s17,plain,
( ~ spl11_2
| ~ spl11_7 ),
inference(rat,[],[s15,s16]) ).
cnf(s18,plain,
spl11_1,
inference(rat,[],[s17,s6,s1,s7]) ).
cnf(s19,plain,
spl11_2,
inference(rat,[],[s13,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s2,s19,s18]) ).
fof(f1350,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET701+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 02:36:39 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/0.98 % (2940273)Will run a generic schedule for satisfiability detection.
% 2.14/0.98 % (2940279)% WARNING: option uhcvi not known.
% 2.14/0.98 % (2940279)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3432702853:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.14/0.98 % (2940278)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1414300574_2999 on theBenchmark for (2999ds/0Mi)
% 2.14/0.98 % (2940280)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4085294982:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.14/0.98 % (2940283)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3868439168:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.14/0.98 % (2940281)dis+10_1_sil=32000:sp=arity:random_seed=275333238:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.14/0.98 % (2940282)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1666597387:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.14/0.98 % (2940284)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1955029483:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.14/0.98 % TRYING [1]
% 2.14/0.98 % TRYING [2]
% 2.14/0.98 % TRYING [3]
% 2.14/0.98 % TRYING [4]
% 2.14/0.98 % TRYING [5]
% 2.14/0.98 % TRYING [6]
% 2.14/0.98 % TRYING [7]
% 2.14/0.98 % (2940281)Instruction limit reached!
% 2.14/0.98 % (2940281)------------------------------
% 2.14/0.98 % (2940281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940281)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940281)Termination reason: Instruction limit
% 2.14/0.98 % (2940281)Termination phase: Saturation
% 2.14/0.98 % (2940281)Time elapsed: 0.063 s
% 2.14/0.98 % (2940281)Peak memory usage: 12 MB
% 2.14/0.98 % (2940281)Instructions burned: 104 (million)
% 2.14/0.98 % (2940282)Instruction limit reached!
% 2.14/0.98 % (2940282)------------------------------
% 2.14/0.98 % (2940282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940282)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940282)Termination reason: Instruction limit
% 2.14/0.98 % (2940282)Termination phase: Saturation
% 2.14/0.98 % (2940282)Time elapsed: 0.068 s
% 2.14/0.98 % (2940282)Peak memory usage: 12 MB
% 2.14/0.98 % (2940282)Instructions burned: 117 (million)
% 2.14/0.98 % (2940283)Instruction limit reached!
% 2.14/0.98 % (2940283)------------------------------
% 2.14/0.98 % (2940283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940283)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940283)Termination reason: Instruction limit
% 2.14/0.98 % (2940283)Termination phase: Saturation
% 2.14/0.98 % (2940283)Time elapsed: 0.084 s
% 2.14/0.98 % (2940283)Peak memory usage: 13 MB
% 2.14/0.98 % (2940283)Instructions burned: 132 (million)
% 2.14/0.98 % (2940292)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3555543771:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.14/0.98 % TRYING [1]
% 2.14/0.98 % TRYING [2]
% 2.14/0.98 % TRYING [3]
% 2.14/0.98 % (2940293)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3577932711:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.14/0.98 % TRYING [4]
% 2.14/0.98 % TRYING [5]
% 2.14/0.98 % (2940284)Instruction limit reached!
% 2.14/0.98 % (2940284)------------------------------
% 2.14/0.98 % (2940284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940284)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940284)Termination reason: Instruction limit
% 2.14/0.98 % (2940284)Termination phase: Saturation
% 2.14/0.98 % (2940284)Time elapsed: 0.097 s
% 2.14/0.98 % (2940284)Peak memory usage: 13 MB
% 2.14/0.98 % (2940284)Instructions burned: 159 (million)
% 2.14/0.98 % (2940295)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=491925664:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.14/0.98 % TRYING [6]
% 2.14/0.98 % (2940297)ott-21_1_sil=16000:fs=off:random_seed=3206810104:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.14/0.98 % TRYING [8]
% 2.14/0.98 % TRYING [7]
% 2.14/0.98 % (2940293)Instruction limit reached!
% 2.14/0.98 % (2940293)------------------------------
% 2.14/0.98 % (2940293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940293)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940293)Termination reason: Instruction limit
% 2.14/0.98 % (2940293)Termination phase: Saturation
% 2.14/0.98 % (2940293)Time elapsed: 0.085 s
% 2.14/0.98 % (2940293)Peak memory usage: 14 MB
% 2.14/0.98 % (2940293)Instructions burned: 131 (million)
% 2.14/0.98 % (2940300)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3476903614:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.14/0.98 % (2940297)Instruction limit reached!
% 2.14/0.98 % (2940297)------------------------------
% 2.14/0.98 % (2940297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940297)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940297)Termination reason: Instruction limit
% 2.14/0.98 % (2940297)Termination phase: Saturation
% 2.14/0.98 % (2940297)Time elapsed: 0.113 s
% 2.14/0.98 % (2940297)Peak memory usage: 13 MB
% 2.14/0.98 % (2940297)Instructions burned: 181 (million)
% 2.14/0.98 % (2940302)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4213962962:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.14/0.98 % TRYING [1]
% 2.14/0.98 % TRYING [2]
% 2.14/0.98 % TRYING [3]
% 2.14/0.98 % TRYING [4]
% 2.14/0.98 % TRYING [5]
% 2.14/0.98 % TRYING [6]
% 2.14/0.98 % TRYING [7]
% 2.14/0.98 % TRYING [8]
% 2.14/0.98 % TRYING [9]
% 2.14/0.98 % (2940292)Instruction limit reached!
% 2.14/0.98 % (2940292)------------------------------
% 2.14/0.98 % (2940292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940292)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940292)Termination reason: Instruction limit
% 2.14/0.98 % (2940292)Termination phase: Finite model building SAT solving
% 2.14/0.98 % (2940292)Time elapsed: 0.345 s
% 2.14/0.98 % (2940292)Peak memory usage: 20 MB
% 2.14/0.98 % (2940292)Instructions burned: 716 (million)
% 2.14/0.98 % TRYING [8]
% 2.14/0.98 % (2940304)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=883307260:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.14/0.98 % (2940295)Instruction limit reached!
% 2.14/0.98 % (2940295)------------------------------
% 2.14/0.98 % (2940295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940295)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940295)Termination reason: Instruction limit
% 2.14/0.98 % (2940295)Termination phase: Saturation
% 2.14/0.98 % (2940295)Time elapsed: 0.379 s
% 2.14/0.98 % (2940295)Peak memory usage: 18 MB
% 2.14/0.98 % (2940295)Instructions burned: 685 (million)
% 2.14/0.98 % (2940300)Instruction limit reached!
% 2.14/0.98 % (2940300)------------------------------
% 2.14/0.98 % (2940300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940300)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940300)Termination reason: Instruction limit
% 2.14/0.98 % (2940300)Termination phase: Saturation
% 2.14/0.98 % (2940300)Time elapsed: 0.297 s
% 2.14/0.98 % (2940300)Peak memory usage: 14 MB
% 2.14/0.98 % (2940300)Instructions burned: 478 (million)
% 2.14/0.98 % (2940304) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2940273-2940304"...
% 2.14/0.98 % (2940306)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2365438622:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 2.14/0.98 % (2940304)...printing done.
% 2.14/0.98 % (2940304)Refutation found. Thanks to Tanya!
% 2.14/0.98 % SZS status Theorem for theBenchmark
% 2.14/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.14/0.98 % (2940304)------------------------------
% 2.14/0.98 % (2940304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.98 % (2940304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.98 % (2940304)CaDiCaL version: 2.1.3
% 2.14/0.98 % (2940304)Termination reason: Refutation
% 2.14/0.98 % (2940304)Time elapsed: 0.051 s
% 2.14/0.98 % (2940304)Peak memory usage: 13 MB
% 2.14/0.98 % (2940304)Instructions burned: 79 (million)
% 2.14/0.98 % (2940273)Success in time 0.545 s
% 2.14/0.98 % Vampire exiting
%------------------------------------------------------------------------------