%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO585+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 : n013.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 09:52:59 AM UTC 2026
% Result : Theorem 8.13s 2.08s
% Output : Refutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 10 unt; 2 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 172 ( 61 ~; 56 |; 42 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 253 ( 0 sgn 237 !; 16 ?)
% 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] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X4,X5)
& perp(X0,X4,X1,X5)
& perp(X1,X4,X0,X5)
& perp(X0,X2,X4,X6)
& perp(X0,X4,X2,X6)
& perp(X2,X4,X0,X6) )
=> cyclic(X0,X5,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416047) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X4,X5)
& perp(X0,X4,X1,X5)
& perp(X1,X4,X0,X5)
& perp(X0,X2,X4,X6)
& perp(X0,X4,X2,X6)
& perp(X2,X4,X0,X6) )
=> cyclic(X0,X5,X4,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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X0,X5,X4,X6)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X4,X5)
& perp(X0,X4,X1,X5)
& perp(X1,X4,X0,X5)
& perp(X0,X2,X4,X6)
& perp(X0,X4,X2,X6)
& perp(X2,X4,X0,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X0,X5,X4,X6)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X4,X5)
& perp(X0,X4,X1,X5)
& perp(X1,X4,X0,X5)
& perp(X0,X2,X4,X6)
& perp(X0,X4,X2,X6)
& perp(X2,X4,X0,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cyclic(sK20,sK25,sK24,sK26)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK27)
& perp(sK20,sK21,sK24,sK25)
& perp(sK20,sK24,sK21,sK25)
& perp(sK21,sK24,sK20,sK25)
& perp(sK20,sK22,sK24,sK26)
& perp(sK20,sK24,sK22,sK26)
& perp(sK22,sK24,sK20,sK26) ),
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(f385,plain,
perp(sK20,sK24,sK22,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ cyclic(sK20,sK25,sK24,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f402,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK24)
| para(X0,X1,sK22,sK26) ),
inference(resolution,[],[f279,f385]) ).
fof(f412,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(f416,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f412,f309]) ).
fof(f420,definition,
( spl28_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f421,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f423,definition,
( spl28_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f424,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f425,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f416,f423,f420]) ).
fof(f438,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(f441,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f438,f313]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f438,f312]) ).
fof(f457,plain,
perp(sK22,sK26,sK20,sK24),
inference(resolution,[],[f278,f385]) ).
fof(f464,plain,
para(sK22,sK26,sK22,sK26),
inference(resolution,[],[f457,f402]) ).
fof(f468,plain,
( $false
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f464,f424]) ).
fof(f469,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f442,f421]) ).
fof(f471,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f441,f421]) ).
fof(f472,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f471,f470]) ).
fof(f476,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl28_1 ),
inference(resolution,[],[f472,f287]) ).
fof(f477,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f476,f472]) ).
fof(f482,plain,
( $false
| ~ spl28_1 ),
inference(resolution,[],[f477,f392]) ).
fof(f483,plain,
~ spl28_1,
inference(avatar_contradiction_clause,[],[f482]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f425]) ).
cnf(s2,plain,
~ spl28_2,
inference(sat_conversion,[],[f469]) ).
cnf(s3,plain,
~ spl28_1,
inference(sat_conversion,[],[f483]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f484,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO585+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n013.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 08:33:51 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 6.54/1.96 % (4114308)Detected formulas, will run a generic FOF schedule.
% 6.54/1.96 % (4114318)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1418022715:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.54/1.96 % (4114317)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2839517724:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.54/1.96 % (4114315)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=3259639358:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.54/1.96 % (4114313)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=1607021435:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.54/1.96 % (4114314)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=4085673113:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.54/1.96 % (4114316)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1730250643:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.54/1.96 % (4114316)Refutation not found, incomplete strategy
% 6.54/1.96 % (4114316)------------------------------
% 6.54/1.96 % (4114316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114316)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114316)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.96 % (4114316)Time elapsed: 0.005 s
% 6.54/1.96 % (4114316)Peak memory usage: 88 MB
% 6.54/1.96 % (4114316)Instructions burned: 7 (million)
% 6.54/1.96 % (4114318)Instruction limit reached!
% 6.54/1.96 % (4114318)------------------------------
% 6.54/1.96 % (4114318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114318)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114318)Termination reason: Instruction limit
% 6.54/1.96 % (4114318)Termination phase: Saturation
% 6.54/1.96 % (4114318)Time elapsed: 0.051 s
% 6.54/1.96 % (4114318)Peak memory usage: 90 MB
% 6.54/1.96 % (4114318)Instructions burned: 140 (million)
% 6.54/1.96 % (4114319)dis-21_1_sil=8000:lcm=predicate:random_seed=3270262605: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)
% 6.54/1.96 % (4114317)Instruction limit reached!
% 6.54/1.96 % (4114317)------------------------------
% 6.54/1.96 % (4114317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114317)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114317)Termination reason: Instruction limit
% 6.54/1.96 % (4114317)Termination phase: Saturation
% 6.54/1.96 % (4114317)Time elapsed: 0.067 s
% 6.54/1.96 % (4114317)Peak memory usage: 88 MB
% 6.54/1.96 % (4114317)Instructions burned: 119 (million)
% 6.54/1.96 % (4114319)Instruction limit reached!
% 6.54/1.96 % (4114319)------------------------------
% 6.54/1.96 % (4114319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114319)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114319)Termination reason: Instruction limit
% 6.54/1.96 % (4114319)Termination phase: Saturation
% 6.54/1.96 % (4114319)Time elapsed: 0.070 s
% 6.54/1.96 % (4114319)Peak memory usage: 89 MB
% 6.54/1.96 % (4114319)Instructions burned: 129 (million)
% 6.54/1.96 % (4114326)lrs+10_1_sil=8000:sp=occurrence:random_seed=2113568349:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.54/1.96 % (4114328)lrs+10_1_sil=32000:urr=on:br=off:random_seed=725702022:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.54/1.96 % (4114316)------------------------------
% 6.54/1.96 % (4114316)------------------------------
% 6.54/1.96 % (4114329)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2299811445:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.54/1.96 % (4114326)Instruction limit reached!
% 6.54/1.96 % (4114326)------------------------------
% 6.54/1.96 % (4114326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114326)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114326)Termination reason: Instruction limit
% 6.54/1.96 % (4114326)Termination phase: Saturation
% 6.54/1.96 % (4114326)Time elapsed: 0.099 s
% 6.54/1.96 % (4114326)Peak memory usage: 92 MB
% 6.54/1.96 % (4114326)Instructions burned: 287 (million)
% 6.54/1.96 % (4114328)Instruction limit reached!
% 6.54/1.96 % (4114328)------------------------------
% 6.54/1.96 % (4114328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114328)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114328)Termination reason: Instruction limit
% 6.54/1.96 % (4114328)Termination phase: Saturation
% 6.54/1.96 % (4114328)Time elapsed: 0.079 s
% 6.54/1.96 % (4114328)Peak memory usage: 90 MB
% 6.54/1.96 % (4114328)Instructions burned: 158 (million)
% 6.54/1.96 % (4114334)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1226385486:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.54/1.96 % (4114329)Instruction limit reached!
% 6.54/1.96 % (4114329)------------------------------
% 6.54/1.96 % (4114329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114329)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114329)Termination reason: Instruction limit
% 6.54/1.96 % (4114329)Termination phase: Saturation
% 6.54/1.96 % (4114329)Time elapsed: 0.161 s
% 6.54/1.96 % (4114329)Peak memory usage: 95 MB
% 6.54/1.96 % (4114329)Instructions burned: 326 (million)
% 6.54/1.96 % (4114333)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=726297974:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.54/1.96 % (4114335)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3478947590:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.54/1.96 % (4114334)Instruction limit reached!
% 6.54/1.96 % (4114334)------------------------------
% 6.54/1.96 % (4114334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114334)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114334)Termination reason: Instruction limit
% 6.54/1.96 % (4114334)Termination phase: Saturation
% 6.54/1.96 % (4114334)Time elapsed: 0.090 s
% 6.54/1.96 % (4114334)Peak memory usage: 89 MB
% 6.54/1.96 % (4114334)Instructions burned: 294 (million)
% 6.54/1.96 % (4114333)Instruction limit reached!
% 6.54/1.96 % (4114333)------------------------------
% 6.54/1.96 % (4114333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114333)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114333)Termination reason: Instruction limit
% 6.54/1.96 % (4114333)Termination phase: Saturation
% 6.54/1.96 % (4114333)Time elapsed: 0.143 s
% 6.54/1.96 % (4114333)Peak memory usage: 91 MB
% 6.54/1.96 % (4114333)Instructions burned: 249 (million)
% 6.54/1.96 % (4114338)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1395191724:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.54/1.96 % (4114340)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=570357629:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.54/1.96 % (4114340)Instruction limit reached!
% 6.54/1.96 % (4114340)------------------------------
% 6.54/1.96 % (4114340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114340)CaDiCaL version: 2.1.3
% 6.54/1.96 % (4114340)Termination reason: Instruction limit
% 6.54/1.96 % (4114340)Termination phase: Saturation
% 6.54/1.96 % (4114340)Time elapsed: 0.037 s
% 6.54/1.96 % (4114340)Peak memory usage: 89 MB
% 6.54/1.96 % (4114340)Instructions burned: 129 (million)
% 6.54/1.96 % (4114338)Instruction limit reached!
% 6.54/1.96 % (4114338)------------------------------
% 6.54/1.96 % (4114338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.96 % (4114338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.96 % (4114338)CaDiCaL version: 2.1.3
% 8.13/2.08 % (4114338)Termination reason: Instruction limit
% 8.13/2.08 % (4114338)Termination phase: Saturation
% 8.13/2.08 % (4114338)Time elapsed: 0.065 s
% 8.13/2.08 % (4114338)Peak memory usage: 90 MB
% 8.13/2.08 % (4114338)Instructions burned: 114 (million)
% 8.13/2.08 % (4114313)First to succeed.
% 8.13/2.08 % (4114313)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4114308"
% 8.13/2.08 % (4114314)Also succeeded, but the first one will report.
% 8.13/2.08 % (4114341)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=305398729:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.13/2.08 % (4114344)lrs+10_1_sil=8000:sp=occurrence:random_seed=3697989886:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.13/2.08 % (4114341)Instruction limit reached!
% 8.13/2.08 % (4114341)------------------------------
% 8.13/2.08 % (4114341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/2.08 % (4114341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/2.08 % (4114341)CaDiCaL version: 2.1.3
% 8.13/2.08 % (4114341)Termination reason: Instruction limit
% 8.13/2.08 % (4114341)Termination phase: Saturation
% 8.13/2.08 % (4114341)Time elapsed: 0.061 s
% 8.13/2.08 % (4114341)Peak memory usage: 89 MB
% 8.13/2.08 % (4114341)Instructions burned: 114 (million)
% 8.13/2.08 % (4114345)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2026716049:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.13/2.08 % (4114313)Refutation found. Thanks to Tanya!
% 8.13/2.08 % SZS status Theorem for theBenchmark
% 8.13/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 8.13/2.08 % (4114313)------------------------------
% 8.13/2.08 % (4114313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/2.08 % (4114313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/2.08 % (4114313)CaDiCaL version: 2.1.3
% 8.13/2.08 % (4114313)Termination reason: Refutation
% 8.13/2.08 % (4114313)Time elapsed: 0.646 s
% 8.13/2.08 % (4114313)Peak memory usage: 129 MB
% 8.13/2.08 % (4114313)Instructions burned: 970 (million)
% 8.13/2.08 % (4114313)------------------------------
% 8.13/2.08 % (4114313)------------------------------
% 8.13/2.08 % (4114308)Success in time 1.084 s
% 8.13/2.08 % Vampire exiting
%------------------------------------------------------------------------------