%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO569+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 : n012.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 09:52:57 AM UTC 2026
% Result : Theorem 4.07s 1.23s
% Output : Refutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 8 unt; 2 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 187 ( 71 ~; 65 |; 37 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 291 ( 0 sgn 273 !; 18 ?)
% 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(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(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
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] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& midp(X5,X2,X0)
& coll(X6,X3,X4)
& coll(X6,X0,X2)
& coll(X7,X3,X5)
& coll(X7,X0,X1) )
=> cyclic(X7,X1,X2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214031) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& midp(X5,X2,X0)
& coll(X6,X3,X4)
& coll(X6,X0,X2)
& coll(X7,X3,X5)
& coll(X7,X0,X1) )
=> cyclic(X7,X1,X2,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,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(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,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(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,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(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,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(f151,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(f152,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,[],[f151]) ).
fof(f153,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(f154,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,[],[f153]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X7,X1,X2,X6)
& circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& midp(X5,X2,X0)
& coll(X6,X3,X4)
& coll(X6,X0,X2)
& coll(X7,X3,X5)
& coll(X7,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X7,X1,X2,X6)
& circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& midp(X5,X2,X0)
& coll(X6,X3,X4)
& coll(X6,X0,X2)
& coll(X7,X3,X5)
& coll(X7,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f270,plain,
( ~ cyclic(sK27,sK21,sK22,sK26)
& circle(sK23,sK20,sK21,sK22)
& midp(sK24,sK21,sK20)
& midp(sK25,sK22,sK20)
& coll(sK26,sK23,sK24)
& coll(sK26,sK20,sK22)
& coll(sK27,sK23,sK25)
& coll(sK27,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,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,[],[f109]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,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,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f312,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,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
fof(f390,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ cyclic(sK27,sK21,sK22,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f401,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f401,f309]) ).
fof(f408,definition,
( spl28_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f409,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,definition,
( spl28_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f412,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f413,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f404,f411,f408]) ).
fof(f425,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f425,f312]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f425,f313]) ).
fof(f442,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,sK11(X2,X3,X4,X5),X2)
| para(X0,X1,X2,X5)
| ~ circle(X5,X2,X3,X4) ),
inference(resolution,[],[f279,f370]) ).
fof(f448,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,sK11(X0,X2,X3,X1),X0)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f278,f370]) ).
fof(f450,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f448,f442]) ).
fof(f454,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f450]) ).
fof(f455,plain,
( ! [X2,X3,X0,X1] : ~ circle(X0,X1,X2,X3)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f454,f412]) ).
fof(f456,plain,
( $false
| ~ spl28_2 ),
inference(resolution,[],[f455,f390]) ).
fof(f457,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f458,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f428,f409]) ).
fof(f459,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f427,f409]) ).
fof(f460,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f459,f458]) ).
fof(f464,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl28_1 ),
inference(resolution,[],[f460,f287]) ).
fof(f465,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f464,f460]) ).
fof(f466,plain,
( $false
| ~ spl28_1 ),
inference(resolution,[],[f465,f391]) ).
fof(f471,plain,
~ spl28_1,
inference(avatar_contradiction_clause,[],[f466]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f413]) ).
cnf(s2,plain,
~ spl28_2,
inference(sat_conversion,[],[f457]) ).
cnf(s3,plain,
~ spl28_1,
inference(sat_conversion,[],[f471]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f472,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO569+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.38 % Computer : n012.cluster.edu
% 0.04/0.38 % Model : x86_64 x86_64
% 0.04/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.38 % Memory : 8046.5625MB
% 0.04/0.38 % OS : Linux 6.8.0-71-generic
% 0.04/0.38 % CPULimit : 300
% 0.04/0.38 % WCLimit : 300
% 0.04/0.38 % DateTime : Sun Sep 27 08:31:50 UTC 2026
% 0.04/0.38 % CPUTime :
% 0.04/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.40 Running first-order theorem proving
% 0.04/0.40 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
% 4.07/1.23 % (2063814)Detected formulas, will run a generic FOF schedule.
% 4.07/1.23 % (2063819)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=4187074884:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.07/1.23 % (2063821)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=4224192888:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.07/1.23 % (2063820)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=3028527692:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.07/1.23 % (2063822)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=536508072:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.07/1.23 % (2063824)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2906670914:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.07/1.23 % (2063825)dis-21_1_sil=8000:lcm=predicate:random_seed=1293498771: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)
% 4.07/1.23 % (2063823)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1387608083:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.07/1.23 % (2063822)Refutation not found, incomplete strategy
% 4.07/1.23 % (2063822)------------------------------
% 4.07/1.23 % (2063822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063822)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063822)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.23 % (2063822)Time elapsed: 0.023 s
% 4.07/1.23 % (2063822)Peak memory usage: 89 MB
% 4.07/1.23 % (2063822)Instructions burned: 79 (million)
% 4.07/1.23 % (2063823)Instruction limit reached!
% 4.07/1.23 % (2063823)------------------------------
% 4.07/1.23 % (2063823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063823)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063823)Termination reason: Instruction limit
% 4.07/1.23 % (2063823)Termination phase: Saturation
% 4.07/1.23 % (2063823)Time elapsed: 0.035 s
% 4.07/1.23 % (2063823)Peak memory usage: 88 MB
% 4.07/1.23 % (2063823)Instructions burned: 120 (million)
% 4.07/1.23 % (2063825)Instruction limit reached!
% 4.07/1.23 % (2063825)------------------------------
% 4.07/1.23 % (2063825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063825)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063825)Termination reason: Instruction limit
% 4.07/1.23 % (2063825)Termination phase: Saturation
% 4.07/1.23 % (2063825)Time elapsed: 0.042 s
% 4.07/1.23 % (2063825)Peak memory usage: 89 MB
% 4.07/1.23 % (2063825)Instructions burned: 130 (million)
% 4.07/1.23 % (2063824)Instruction limit reached!
% 4.07/1.23 % (2063824)------------------------------
% 4.07/1.23 % (2063824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063824)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063824)Termination reason: Instruction limit
% 4.07/1.23 % (2063824)Termination phase: Saturation
% 4.07/1.23 % (2063824)Time elapsed: 0.049 s
% 4.07/1.23 % (2063824)Peak memory usage: 89 MB
% 4.07/1.23 % (2063824)Instructions burned: 140 (million)
% 4.07/1.23 % (2063833)lrs+10_1_sil=8000:sp=occurrence:random_seed=569477930:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.07/1.23 % (2063834)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1620925822:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.07/1.23 % (2063835)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1587479963:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.07/1.23 % (2063822)------------------------------
% 4.07/1.23 % (2063822)------------------------------
% 4.07/1.23 % (2063834)Instruction limit reached!
% 4.07/1.23 % (2063834)------------------------------
% 4.07/1.23 % (2063834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063834)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063834)Termination reason: Instruction limit
% 4.07/1.23 % (2063834)Termination phase: Saturation
% 4.07/1.23 % (2063834)Time elapsed: 0.044 s
% 4.07/1.23 % (2063834)Peak memory usage: 90 MB
% 4.07/1.23 % (2063834)Instructions burned: 159 (million)
% 4.07/1.23 % (2063833)Instruction limit reached!
% 4.07/1.23 % (2063833)------------------------------
% 4.07/1.23 % (2063833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063833)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063833)Termination reason: Instruction limit
% 4.07/1.23 % (2063833)Termination phase: Saturation
% 4.07/1.23 % (2063833)Time elapsed: 0.099 s
% 4.07/1.23 % (2063833)Peak memory usage: 92 MB
% 4.07/1.23 % (2063833)Instructions burned: 287 (million)
% 4.07/1.23 % (2063835)Instruction limit reached!
% 4.07/1.23 % (2063835)------------------------------
% 4.07/1.23 % (2063835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063835)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063835)Termination reason: Instruction limit
% 4.07/1.23 % (2063835)Termination phase: Saturation
% 4.07/1.23 % (2063835)Time elapsed: 0.116 s
% 4.07/1.23 % (2063835)Peak memory usage: 92 MB
% 4.07/1.23 % (2063835)Instructions burned: 325 (million)
% 4.07/1.23 % (2063840)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1788157946:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 4.07/1.23 % (2063839)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=233762763:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.07/1.23 % (2063841)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3703595174:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.07/1.23 % (2063839)Instruction limit reached!
% 4.07/1.23 % (2063839)------------------------------
% 4.07/1.23 % (2063839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063839)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063839)Termination reason: Instruction limit
% 4.07/1.23 % (2063839)Termination phase: Saturation
% 4.07/1.23 % (2063839)Time elapsed: 0.072 s
% 4.07/1.23 % (2063839)Peak memory usage: 92 MB
% 4.07/1.23 % (2063839)Instructions burned: 249 (million)
% 4.07/1.23 % (2063819)First to succeed.
% 4.07/1.23 % (2063819)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2063814"
% 4.07/1.23 % (2063820)Also succeeded, but the first one will report.
% 4.07/1.23 % (2063842)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=877043753:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.07/1.23 % (2063840)Instruction limit reached!
% 4.07/1.23 % (2063840)------------------------------
% 4.07/1.23 % (2063840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063840)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063840)Termination reason: Instruction limit
% 4.07/1.23 % (2063840)Termination phase: Saturation
% 4.07/1.23 % (2063840)Time elapsed: 0.088 s
% 4.07/1.23 % (2063840)Peak memory usage: 89 MB
% 4.07/1.23 % (2063840)Instructions burned: 295 (million)
% 4.07/1.23 % (2063842)Instruction limit reached!
% 4.07/1.23 % (2063842)------------------------------
% 4.07/1.23 % (2063842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063842)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063842)Termination reason: Instruction limit
% 4.07/1.23 % (2063842)Termination phase: Saturation
% 4.07/1.23 % (2063842)Time elapsed: 0.036 s
% 4.07/1.23 % (2063842)Peak memory usage: 89 MB
% 4.07/1.23 % (2063842)Instructions burned: 114 (million)
% 4.07/1.23 % (2063846)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4272891544:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.07/1.23 % (2063848)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=988040507:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 4.07/1.23 % (2063849)lrs+10_1_sil=8000:sp=occurrence:random_seed=604249529:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 4.07/1.23 % (2063846)Instruction limit reached!
% 4.07/1.23 % (2063846)------------------------------
% 4.07/1.23 % (2063846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063846)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063846)Termination reason: Instruction limit
% 4.07/1.23 % (2063846)Termination phase: Saturation
% 4.07/1.23 % (2063846)Time elapsed: 0.039 s
% 4.07/1.23 % (2063846)Peak memory usage: 89 MB
% 4.07/1.23 % (2063846)Instructions burned: 130 (million)
% 4.07/1.23 % (2063848)Instruction limit reached!
% 4.07/1.23 % (2063848)------------------------------
% 4.07/1.23 % (2063848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.23 % (2063848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.23 % (2063848)CaDiCaL version: 2.1.3
% 4.07/1.23 % (2063848)Termination reason: Instruction limit
% 4.07/1.23 % (2063848)Termination phase: Saturation
% 4.07/1.23 % (2063848)Time elapsed: 0.033 s
% 4.07/1.23 % (2063848)Peak memory usage: 89 MB
% 4.07/1.23 % (2063848)Instructions burned: 115 (million)
% 4.07/1.23 % (2063819)Refutation found. Thanks to Tanya!
% 4.07/1.23 % SZS status Theorem for theBenchmark
% 4.07/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 4.63/1.32 % (2063819)------------------------------
% 4.63/1.32 % (2063819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.32 % (2063819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.32 % (2063819)CaDiCaL version: 2.1.3
% 4.63/1.32 % (2063819)Termination reason: Refutation
% 4.63/1.32 % (2063819)Time elapsed: 0.367 s
% 4.63/1.32 % (2063819)Peak memory usage: 131 MB
% 4.63/1.32 % (2063819)Instructions burned: 969 (million)
% 4.63/1.32 % (2063819)------------------------------
% 4.63/1.32 % (2063819)------------------------------
% 4.63/1.32 % (2063814)Success in time 0.629 s
% 4.63/1.32 % Vampire exiting
%------------------------------------------------------------------------------