%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO550+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:52:54 AM UTC 2026
% Result : Theorem 5.04s 1.65s
% Output : Refutation 6.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 79 ( 10 unt; 2 def)
% Number of atoms : 205 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 198 ( 72 ~; 69 |; 42 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 272 ( 0 sgn 248 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X4,X2,X3)
& coll(X4,X0,X1)
& coll(X5,X1,X2)
& coll(X5,X0,X3)
& circle(X6,X2,X3,X5)
& circle(X7,X5,X1,X0)
& circle(X6,X2,X8,X9)
& circle(X7,X0,X8,X10) )
=> cyclic(X4,X3,X8,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012010) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X4,X2,X3)
& coll(X4,X0,X1)
& coll(X5,X1,X2)
& coll(X5,X0,X3)
& circle(X6,X2,X3,X5)
& circle(X7,X5,X1,X0)
& circle(X6,X2,X8,X9)
& circle(X7,X0,X8,X10) )
=> cyclic(X4,X3,X8,X0) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ cyclic(X4,X3,X8,X0)
& coll(X4,X2,X3)
& coll(X4,X0,X1)
& coll(X5,X1,X2)
& coll(X5,X0,X3)
& circle(X6,X2,X3,X5)
& circle(X7,X5,X1,X0)
& circle(X6,X2,X8,X9)
& circle(X7,X0,X8,X10) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ cyclic(X4,X3,X8,X0)
& coll(X4,X2,X3)
& coll(X4,X0,X1)
& coll(X5,X1,X2)
& coll(X5,X0,X3)
& circle(X6,X2,X3,X5)
& circle(X7,X5,X1,X0)
& circle(X6,X2,X8,X9)
& circle(X7,X0,X8,X10) ),
inference(flattening,[],[f98]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f131]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f168]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f220,plain,
( ~ cyclic(sK4,sK3,sK8,sK0)
& coll(sK4,sK2,sK3)
& coll(sK4,sK0,sK1)
& coll(sK5,sK1,sK2)
& coll(sK5,sK0,sK3)
& circle(sK6,sK2,sK3,sK5)
& circle(sK7,sK5,sK1,sK0)
& circle(sK6,sK2,sK8,sK9)
& circle(sK7,sK0,sK8,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10)],[f99]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X4,sK13(X0,X1,X2,X3))],[f108]) ).
fof(f239,plain,
circle(sK7,sK0,sK8,sK10),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
~ cyclic(sK4,sK3,sK8,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f130]) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f135]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f271,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f164]) ).
fof(f298,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f169]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f203]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,sK13(X2,X3,X4,X5),X2)
| para(X0,X1,X2,X5)
| ~ circle(X5,X2,X3,X4) ),
inference(resolution,[],[f298,f253]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,sK13(X0,X2,X3,X1),X0)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f284,f253]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f338,f336]) ).
fof(f348,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f344]) ).
fof(f349,plain,
para(sK0,sK7,sK0,sK7),
inference(resolution,[],[f348,f239]) ).
fof(f353,plain,
! [X0,X1] : eqangle(sK0,sK7,X0,X1,sK0,sK7,X0,X1),
inference(resolution,[],[f349,f295]) ).
fof(f354,plain,
! [X0] :
( cyclic(sK7,X0,sK0,sK0)
| coll(sK0,sK0,sK7) ),
inference(resolution,[],[f353,f266]) ).
fof(f357,plain,
! [X0,X1] : eqangle(X0,X1,sK0,sK7,X0,X1,sK0,sK7),
inference(resolution,[],[f353,f322]) ).
fof(f361,definition,
( spl29_1
<=> coll(sK0,sK0,sK7) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f362,plain,
( coll(sK0,sK0,sK7)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,definition,
( spl29_2
<=> ! [X0] : cyclic(sK7,X0,sK0,sK0) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f365,plain,
( ! [X0] : cyclic(sK7,X0,sK0,sK0)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f366,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f354,f364,f361]) ).
fof(f371,plain,
( ! [X0,X1] :
( ~ cyclic(sK7,X0,sK0,X1)
| cyclic(X0,sK0,X1,sK0) )
| ~ spl29_2 ),
inference(resolution,[],[f365,f268]) ).
fof(f382,plain,
( ! [X0] : cyclic(X0,sK0,sK0,sK0)
| ~ spl29_2 ),
inference(resolution,[],[f371,f365]) ).
fof(f387,plain,
( ! [X0] : cyclic(sK0,X0,sK0,sK0)
| ~ spl29_2 ),
inference(resolution,[],[f382,f269]) ).
fof(f392,plain,
( ! [X0] : cyclic(sK0,sK0,X0,sK0)
| ~ spl29_2 ),
inference(resolution,[],[f387,f270]) ).
fof(f396,plain,
( ! [X0] : cyclic(sK0,sK0,sK0,X0)
| ~ spl29_2 ),
inference(resolution,[],[f392,f271]) ).
fof(f405,plain,
( ! [X0,X1] :
( ~ cyclic(sK0,sK0,sK0,X0)
| cyclic(sK0,sK0,X0,X1) )
| ~ spl29_2 ),
inference(resolution,[],[f396,f268]) ).
fof(f406,plain,
( ! [X0,X1] : cyclic(sK0,sK0,X0,X1)
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f405,f396]) ).
fof(f411,plain,
( ! [X2,X0,X1] :
( ~ cyclic(sK0,sK0,X0,X1)
| cyclic(sK0,X0,X1,X2) )
| ~ spl29_2 ),
inference(resolution,[],[f406,f268]) ).
fof(f412,plain,
( ! [X2,X0,X1] : cyclic(sK0,X0,X1,X2)
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f411,f406]) ).
fof(f414,plain,
( $false
| ~ spl29_2 ),
inference(unit_resulting_resolution,[],[f268,f247,f412,f412]) ).
fof(f421,plain,
~ spl29_2,
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f423,plain,
( ! [X0] :
( ~ eqangle(sK0,X0,sK0,sK7,sK0,X0,sK0,sK7)
| cyclic(X0,sK7,sK0,sK0) )
| ~ spl29_1 ),
inference(resolution,[],[f362,f265]) ).
fof(f424,plain,
( ! [X0] : cyclic(X0,sK7,sK0,sK0)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f423,f357]) ).
fof(f427,plain,
( ! [X0] : cyclic(sK7,X0,sK0,sK0)
| ~ spl29_1 ),
inference(resolution,[],[f424,f269]) ).
fof(f430,plain,
( spl29_2
| ~ spl29_1 ),
inference(avatar_split_clause,[],[f427,f361,f364]) ).
cnf(s1,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f366]) ).
cnf(s3,plain,
~ spl29_2,
inference(sat_conversion,[],[f421]) ).
cnf(s4,plain,
( ~ spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f430]) ).
cnf(s5,plain,
~ spl29_1,
inference(rat,[],[s4,s3]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s5]) ).
fof(f431,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO550+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n003.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 : Sun Sep 27 08:30:56 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.04/1.65 % (202169)Detected formulas, will run a generic FOF schedule.
% 5.04/1.65 % (202175)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1208209786:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.04/1.65 % (202176)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2269726252:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.04/1.65 % (202174)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3172704986:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.04/1.65 % (202179)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1987717654:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.04/1.65 % (202178)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3539709625:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.04/1.65 % (202177)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3872218948:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.04/1.65 % (202180)dis-21_1_sil=8000:lcm=predicate:random_seed=2401835874:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.04/1.65 % (202177)Refutation not found, incomplete strategy
% 5.04/1.65 % (202177)------------------------------
% 5.04/1.65 % (202177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.65 % (202177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.65 % (202177)CaDiCaL version: 2.1.3
% 5.04/1.65 % (202177)Termination reason: Refutation not found, incomplete strategy
% 5.04/1.65 % (202177)Time elapsed: 0.017 s
% 5.04/1.65 % (202177)Peak memory usage: 88 MB
% 5.04/1.65 % (202177)Instructions burned: 29 (million)
% 5.04/1.65 % (202178)Instruction limit reached!
% 5.04/1.65 % (202178)------------------------------
% 5.04/1.65 % (202178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.65 % (202178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.65 % (202178)CaDiCaL version: 2.1.3
% 5.04/1.65 % (202178)Termination reason: Instruction limit
% 5.04/1.65 % (202178)Termination phase: Saturation
% 5.04/1.65 % (202178)Time elapsed: 0.066 s
% 5.04/1.65 % (202178)Peak memory usage: 88 MB
% 5.04/1.65 % (202178)Instructions burned: 119 (million)
% 5.04/1.65 % (202180)Instruction limit reached!
% 5.04/1.65 % (202180)------------------------------
% 5.04/1.65 % (202180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.65 % (202180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.65 % (202180)CaDiCaL version: 2.1.3
% 5.04/1.65 % (202180)Termination reason: Instruction limit
% 5.04/1.65 % (202180)Termination phase: Saturation
% 5.04/1.65 % (202180)Time elapsed: 0.073 s
% 5.04/1.65 % (202180)Peak memory usage: 89 MB
% 5.04/1.65 % (202180)Instructions burned: 130 (million)
% 5.04/1.65 % (202179)Instruction limit reached!
% 5.04/1.65 % (202179)------------------------------
% 5.04/1.65 % (202179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.65 % (202179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.65 % (202179)CaDiCaL version: 2.1.3
% 5.04/1.65 % (202179)Termination reason: Instruction limit
% 5.04/1.65 % (202179)Termination phase: Saturation
% 5.04/1.65 % (202179)Time elapsed: 0.093 s
% 5.04/1.65 % (202179)Peak memory usage: 90 MB
% 5.04/1.65 % (202179)Instructions burned: 139 (million)
% 5.04/1.65 % (202188)lrs+10_1_sil=8000:sp=occurrence:random_seed=1628110488:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.04/1.65 % (202189)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3721779275:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.04/1.65 % (202189)Refutation not found, incomplete strategy
% 5.04/1.65 % (202189)------------------------------
% 5.04/1.65 % (202189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.65 % (202189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.65 % (202189)CaDiCaL version: 2.1.3
% 5.04/1.65 % (202189)Termination reason: Refutation not found, incomplete strategy
% 5.04/1.65 % (202189)Time elapsed: 0.020 s
% 5.04/1.65 % (202189)Peak memory usage: 88 MB
% 5.04/1.65 % (202189)Instructions burned: 40 (million)
% 5.04/1.65 % (202190)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1694123134:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.04/1.65 % (202177)------------------------------
% 5.04/1.65 % (202177)------------------------------
% 5.04/1.65 % (202190)Instruction limit reached!
% 5.04/1.65 % (202190)------------------------------
% 5.04/1.65 % (202190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.65 % (202190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.65 % (202190)CaDiCaL version: 2.1.3
% 5.04/1.65 % (202190)Termination reason: Instruction limit
% 5.04/1.65 % (202190)Termination phase: Saturation
% 5.04/1.65 % (202190)Time elapsed: 0.117 s
% 5.04/1.65 % (202190)Peak memory usage: 88 MB
% 5.04/1.65 % (202190)Instructions burned: 328 (million)
% 5.04/1.65 % (202194)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=77158549:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.04/1.65 % (202175)First to succeed.
% 5.04/1.65 % (202175)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-202169"
% 5.04/1.65 % (202188)Instruction limit reached!
% 5.04/1.65 % (202188)------------------------------
% 5.04/1.65 % (202188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.65 % (202188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.65 % (202188)CaDiCaL version: 2.1.3
% 5.04/1.65 % (202188)Termination reason: Instruction limit
% 5.04/1.65 % (202188)Termination phase: Saturation
% 5.04/1.65 % (202188)Time elapsed: 0.182 s
% 5.04/1.65 % (202188)Peak memory usage: 92 MB
% 5.04/1.65 % (202188)Instructions burned: 285 (million)
% 5.04/1.65 % (202194)Instruction limit reached!
% 5.04/1.65 % (202194)------------------------------
% 5.04/1.65 % (202194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.65 % (202194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.65 % (202194)CaDiCaL version: 2.1.3
% 5.04/1.65 % (202194)Termination reason: Instruction limit
% 5.04/1.65 % (202194)Termination phase: Saturation
% 5.04/1.65 % (202194)Time elapsed: 0.072 s
% 5.04/1.65 % (202194)Peak memory usage: 90 MB
% 5.04/1.65 % (202194)Instructions burned: 248 (million)
% 5.04/1.65 % (202189)------------------------------
% 5.04/1.65 % (202189)------------------------------
% 5.04/1.65 % (202195)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=371408723:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.04/1.65 % (202197)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2839949367:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.04/1.65 % (202198)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3646084112:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.04/1.65 % (202198)Instruction limit reached!
% 5.04/1.65 % (202198)------------------------------
% 5.04/1.65 % (202198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.65 % (202198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.65 % (202198)CaDiCaL version: 2.1.3
% 5.04/1.65 % (202198)Termination reason: Instruction limit
% 5.04/1.65 % (202198)Termination phase: Saturation
% 5.04/1.65 % (202198)Time elapsed: 0.035 s
% 5.04/1.65 % (202198)Peak memory usage: 89 MB
% 5.04/1.65 % (202198)Instructions burned: 115 (million)
% 5.04/1.65 % (202199)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2661127857:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.04/1.65 % (202175)Refutation found. Thanks to Tanya!
% 5.04/1.65 % SZS status Theorem for theBenchmark
% 5.04/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 6.09/1.84 % (202175)------------------------------
% 6.09/1.84 % (202175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.84 % (202175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.84 % (202175)CaDiCaL version: 2.1.3
% 6.09/1.84 % (202175)Termination reason: Refutation
% 6.09/1.84 % (202175)Time elapsed: 0.413 s
% 6.09/1.84 % (202175)Peak memory usage: 131 MB
% 6.09/1.84 % (202175)Instructions burned: 969 (million)
% 6.09/1.84 % (202175)------------------------------
% 6.09/1.84 % (202175)------------------------------
% 6.09/1.84 % (202169)Success in time 0.776 s
% 6.09/1.84 % Vampire exiting
%------------------------------------------------------------------------------