%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO628+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:53:06 AM UTC 2026
% Result : Theorem 6.66s 1.94s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 10 unt; 2 def)
% Number of atoms : 201 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 197 ( 61 ~; 56 |; 67 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 273 ( 0 sgn 247 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X1)
& coll(X8,X0,X1)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& perp(X5,X6,X7,X10)
& perp(X8,X9,X4,X10) )
=> cyclic(X0,X4,X7,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110991) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X1)
& coll(X8,X0,X1)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& perp(X5,X6,X7,X10)
& perp(X8,X9,X4,X10) )
=> cyclic(X0,X4,X7,X10) ),
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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X0,X4,X7,X10)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X1)
& coll(X8,X0,X1)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& perp(X5,X6,X7,X10)
& perp(X8,X9,X4,X10) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X0,X4,X7,X10)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X1)
& coll(X8,X0,X1)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& perp(X5,X6,X7,X10)
& perp(X8,X9,X4,X10) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cyclic(sK20,sK24,sK27,sK30)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK31)
& perp(sK25,sK24,sK20,sK22)
& coll(sK25,sK20,sK22)
& perp(sK26,sK24,sK20,sK21)
& coll(sK26,sK20,sK21)
& circle(sK23,sK20,sK27,sK32)
& perp(sK28,sK27,sK20,sK21)
& coll(sK28,sK20,sK21)
& perp(sK29,sK27,sK20,sK22)
& coll(sK29,sK20,sK22)
& perp(sK25,sK26,sK27,sK30)
& perp(sK28,sK29,sK24,sK30) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32)],[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(f392,plain,
perp(sK26,sK24,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
~ cyclic(sK20,sK24,sK27,sK30),
inference(cnf_transformation,[],[f270]) ).
fof(f408,plain,
perp(sK20,sK21,sK26,sK24),
inference(resolution,[],[f392,f278]) ).
fof(f424,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK26,sK24)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f392]) ).
fof(f437,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(f440,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f437,f309]) ).
fof(f444,definition,
( spl33_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f445,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,definition,
( spl33_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f448,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl33_2 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f449,plain,
( spl33_1
| spl33_2 ),
inference(avatar_split_clause,[],[f440,f447,f444]) ).
fof(f461,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(f463,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f461,f312]) ).
fof(f464,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f461,f313]) ).
fof(f470,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f424,f408]) ).
fof(f471,plain,
( $false
| ~ spl33_2 ),
inference(forward_subsumption_resolution,[],[f470,f448]) ).
fof(f472,plain,
~ spl33_2,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f464,f445]) ).
fof(f474,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f463,f445]) ).
fof(f475,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f474,f473]) ).
fof(f476,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl33_1 ),
inference(resolution,[],[f475,f287]) ).
fof(f477,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f476,f475]) ).
fof(f478,plain,
( $false
| ~ spl33_1 ),
inference(resolution,[],[f477,f397]) ).
fof(f480,plain,
~ spl33_1,
inference(avatar_contradiction_clause,[],[f478]) ).
cnf(s1,plain,
( spl33_1
| spl33_2 ),
inference(sat_conversion,[],[f449]) ).
cnf(s2,plain,
~ spl33_2,
inference(sat_conversion,[],[f472]) ).
cnf(s3,plain,
~ spl33_1,
inference(sat_conversion,[],[f480]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f481,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO628+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:41:49 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.66/1.94 % (3096398)Detected formulas, will run a generic FOF schedule.
% 6.66/1.94 % (3096403)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=1561369004:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.66/1.94 % (3096408)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3989195638:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.66/1.94 % (3096407)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4033375067:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.66/1.94 % (3096405)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=2059276884:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.66/1.94 % (3096404)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=3623342153:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.66/1.94 % (3096406)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=677832084:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.66/1.94 % (3096409)dis-21_1_sil=8000:lcm=predicate:random_seed=1182625079: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)
% 6.66/1.94 % (3096406)Refutation not found, incomplete strategy
% 6.66/1.94 % (3096406)------------------------------
% 6.66/1.94 % (3096406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096406)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096406)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.94 % (3096406)Time elapsed: 0.028 s
% 6.66/1.94 % (3096406)Peak memory usage: 89 MB
% 6.66/1.94 % (3096406)Instructions burned: 50 (million)
% 6.66/1.94 % (3096408)Instruction limit reached!
% 6.66/1.94 % (3096408)------------------------------
% 6.66/1.94 % (3096408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096408)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096408)Termination reason: Instruction limit
% 6.66/1.94 % (3096408)Termination phase: Saturation
% 6.66/1.94 % (3096408)Time elapsed: 0.047 s
% 6.66/1.94 % (3096408)Peak memory usage: 90 MB
% 6.66/1.94 % (3096408)Instructions burned: 142 (million)
% 6.66/1.94 % (3096407)Instruction limit reached!
% 6.66/1.94 % (3096407)------------------------------
% 6.66/1.94 % (3096407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096407)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096407)Termination reason: Instruction limit
% 6.66/1.94 % (3096407)Termination phase: Saturation
% 6.66/1.94 % (3096407)Time elapsed: 0.067 s
% 6.66/1.94 % (3096407)Peak memory usage: 88 MB
% 6.66/1.94 % (3096407)Instructions burned: 120 (million)
% 6.66/1.94 % (3096409)Instruction limit reached!
% 6.66/1.94 % (3096409)------------------------------
% 6.66/1.94 % (3096409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096409)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096409)Termination reason: Instruction limit
% 6.66/1.94 % (3096409)Termination phase: Saturation
% 6.66/1.94 % (3096409)Time elapsed: 0.074 s
% 6.66/1.94 % (3096409)Peak memory usage: 89 MB
% 6.66/1.94 % (3096409)Instructions burned: 132 (million)
% 6.66/1.94 % (3096417)lrs+10_1_sil=8000:sp=occurrence:random_seed=1210474782:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.66/1.94 % (3096419)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2966717768:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.66/1.94 % (3096418)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3318144769:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.66/1.94 % (3096406)------------------------------
% 6.66/1.94 % (3096406)------------------------------
% 6.66/1.94 % (3096417)Instruction limit reached!
% 6.66/1.94 % (3096417)------------------------------
% 6.66/1.94 % (3096417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096417)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096417)Termination reason: Instruction limit
% 6.66/1.94 % (3096417)Termination phase: Saturation
% 6.66/1.94 % (3096417)Time elapsed: 0.099 s
% 6.66/1.94 % (3096417)Peak memory usage: 93 MB
% 6.66/1.94 % (3096417)Instructions burned: 287 (million)
% 6.66/1.94 % (3096418)Instruction limit reached!
% 6.66/1.94 % (3096418)------------------------------
% 6.66/1.94 % (3096418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096418)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096418)Termination reason: Instruction limit
% 6.66/1.94 % (3096418)Termination phase: Saturation
% 6.66/1.94 % (3096418)Time elapsed: 0.081 s
% 6.66/1.94 % (3096418)Peak memory usage: 89 MB
% 6.66/1.94 % (3096418)Instructions burned: 157 (million)
% 6.66/1.94 % (3096424)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1133466487:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.66/1.94 % (3096423)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=2703855890:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.66/1.94 % (3096419)Instruction limit reached!
% 6.66/1.94 % (3096419)------------------------------
% 6.66/1.94 % (3096419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096419)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096419)Termination reason: Instruction limit
% 6.66/1.94 % (3096419)Termination phase: Saturation
% 6.66/1.94 % (3096419)Time elapsed: 0.219 s
% 6.66/1.94 % (3096419)Peak memory usage: 92 MB
% 6.66/1.94 % (3096419)Instructions burned: 326 (million)
% 6.66/1.94 % (3096425)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2316146154:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.66/1.94 % (3096424)Instruction limit reached!
% 6.66/1.94 % (3096424)------------------------------
% 6.66/1.94 % (3096424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096424)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096424)Termination reason: Instruction limit
% 6.66/1.94 % (3096424)Termination phase: Saturation
% 6.66/1.94 % (3096424)Time elapsed: 0.090 s
% 6.66/1.94 % (3096424)Peak memory usage: 89 MB
% 6.66/1.94 % (3096424)Instructions burned: 296 (million)
% 6.66/1.94 % (3096423)Instruction limit reached!
% 6.66/1.94 % (3096423)------------------------------
% 6.66/1.94 % (3096423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096423)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096423)Termination reason: Instruction limit
% 6.66/1.94 % (3096423)Termination phase: Saturation
% 6.66/1.94 % (3096423)Time elapsed: 0.139 s
% 6.66/1.94 % (3096423)Peak memory usage: 91 MB
% 6.66/1.94 % (3096423)Instructions burned: 249 (million)
% 6.66/1.94 % (3096430)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1856166646:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.66/1.94 % (3096428)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3316425241:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.66/1.94 % (3096403)First to succeed.
% 6.66/1.94 % (3096403)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3096398"
% 6.66/1.94 % (3096430)Instruction limit reached!
% 6.66/1.94 % (3096430)------------------------------
% 6.66/1.94 % (3096430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096430)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096430)Termination reason: Instruction limit
% 6.66/1.94 % (3096430)Termination phase: Saturation
% 6.66/1.94 % (3096430)Time elapsed: 0.037 s
% 6.66/1.94 % (3096430)Peak memory usage: 89 MB
% 6.66/1.94 % (3096430)Instructions burned: 130 (million)
% 6.66/1.94 % (3096404)Also succeeded, but the first one will report.
% 6.66/1.94 % (3096428)Instruction limit reached!
% 6.66/1.94 % (3096428)------------------------------
% 6.66/1.94 % (3096428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096428)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096428)Termination reason: Instruction limit
% 6.66/1.94 % (3096428)Termination phase: Saturation
% 6.66/1.94 % (3096428)Time elapsed: 0.066 s
% 6.66/1.94 % (3096428)Peak memory usage: 90 MB
% 6.66/1.94 % (3096428)Instructions burned: 114 (million)
% 6.66/1.94 % (3096431)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3452302693:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.66/1.94 % (3096434)lrs+10_1_sil=8000:sp=occurrence:random_seed=2780933268:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.66/1.94 % (3096431)Instruction limit reached!
% 6.66/1.94 % (3096431)------------------------------
% 6.66/1.94 % (3096431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.94 % (3096431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.94 % (3096431)CaDiCaL version: 2.1.3
% 6.66/1.94 % (3096431)Termination reason: Instruction limit
% 6.66/1.94 % (3096431)Termination phase: Saturation
% 6.66/1.94 % (3096431)Time elapsed: 0.063 s
% 6.66/1.94 % (3096431)Peak memory usage: 89 MB
% 6.66/1.94 % (3096431)Instructions burned: 114 (million)
% 6.66/1.94 % (3096435)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3964341345:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.66/1.94 % (3096403)Refutation found. Thanks to Tanya!
% 6.66/1.94 % SZS status Theorem for theBenchmark
% 6.66/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.03 % (3096403)------------------------------
% 0.17/2.03 % (3096403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.03 % (3096403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.03 % (3096403)CaDiCaL version: 2.1.3
% 0.17/2.03 % (3096403)Termination reason: Refutation
% 0.17/2.03 % (3096403)Time elapsed: 0.655 s
% 0.17/2.03 % (3096403)Peak memory usage: 131 MB
% 0.17/2.03 % (3096403)Instructions burned: 973 (million)
% 0.17/2.03 % (3096403)------------------------------
% 0.17/2.03 % (3096403)------------------------------
% 0.17/2.03 % (3096398)Success in time 1.068 s
% 0.17/2.03 % Vampire exiting
%------------------------------------------------------------------------------