%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO601+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 : n010.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 09:53:02 AM UTC 2026
% Result : Theorem 5.07s 1.63s
% Output : Refutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 80 ( 11 unt; 2 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 174 ( 70 ~; 67 |; 22 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 248 ( 0 sgn 232 !; 16 ?)
% 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] :
( ( coll(X3,X1,X2)
& circle(X4,X0,X3,X2)
& circle(X5,X0,X3,X1)
& circle(X6,X1,X0,X2) )
=> cyclic(X0,X5,X6,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618063f) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X3,X1,X2)
& circle(X4,X0,X3,X2)
& circle(X5,X0,X3,X1)
& circle(X6,X1,X0,X2) )
=> cyclic(X0,X5,X6,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X5,X6,X4)
& coll(X3,X1,X2)
& circle(X4,X0,X3,X2)
& circle(X5,X0,X3,X1)
& circle(X6,X1,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X5,X6,X4)
& coll(X3,X1,X2)
& circle(X4,X0,X3,X2)
& circle(X5,X0,X3,X1)
& circle(X6,X1,X0,X2) ),
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(sK0,sK5,sK6,sK4)
& coll(sK3,sK1,sK2)
& circle(sK4,sK0,sK3,sK2)
& circle(sK5,sK0,sK3,sK1)
& circle(sK6,sK1,sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f99]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( perp(sK9(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X4,sK9(X0,X1,X2,X3))],[f108]) ).
fof(f241,plain,
circle(sK4,sK0,sK3,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
~ cyclic(sK0,sK5,sK6,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( perp(sK9(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f261,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(f262,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(f264,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(f265,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f291,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(f294,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(f318,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(f332,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,sK9(X2,X3,X4,X5),X2)
| para(X0,X1,X2,X5)
| ~ circle(X5,X2,X3,X4) ),
inference(resolution,[],[f294,f249]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ circle(X1,X0,X2,X3)
| perp(X0,X1,sK9(X0,X2,X3,X1),X0) ),
inference(resolution,[],[f280,f249]) ).
fof(f342,plain,
perp(sK0,sK4,sK9(sK0,sK3,sK2,sK4),sK0),
inference(resolution,[],[f338,f241]) ).
fof(f343,plain,
( para(sK0,sK4,sK0,sK4)
| ~ circle(sK4,sK0,sK3,sK2) ),
inference(resolution,[],[f342,f332]) ).
fof(f347,plain,
para(sK0,sK4,sK0,sK4),
inference(forward_subsumption_resolution,[],[f343,f241]) ).
fof(f348,plain,
! [X0,X1] : eqangle(sK0,sK4,X0,X1,sK0,sK4,X0,X1),
inference(resolution,[],[f347,f291]) ).
fof(f349,plain,
! [X0] :
( cyclic(sK4,X0,sK0,sK0)
| coll(sK0,sK0,sK4) ),
inference(resolution,[],[f348,f262]) ).
fof(f352,plain,
! [X0,X1] : eqangle(X0,X1,sK0,sK4,X0,X1,sK0,sK4),
inference(resolution,[],[f348,f318]) ).
fof(f356,definition,
( spl25_1
<=> coll(sK0,sK0,sK4) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f357,plain,
( coll(sK0,sK0,sK4)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f359,definition,
( spl25_2
<=> ! [X0] : cyclic(sK4,X0,sK0,sK0) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f360,plain,
( ! [X0] : cyclic(sK4,X0,sK0,sK0)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f361,plain,
( spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f349,f359,f356]) ).
fof(f365,plain,
( ! [X0] : cyclic(X0,sK4,sK0,sK0)
| ~ spl25_2 ),
inference(resolution,[],[f360,f265]) ).
fof(f369,plain,
( ! [X0] : cyclic(X0,sK0,sK4,sK0)
| ~ spl25_2 ),
inference(resolution,[],[f365,f266]) ).
fof(f378,plain,
( ! [X0] : cyclic(X0,sK0,sK0,sK4)
| ~ spl25_2 ),
inference(resolution,[],[f369,f267]) ).
fof(f385,plain,
( ! [X0] : cyclic(sK0,X0,sK0,sK4)
| ~ spl25_2 ),
inference(resolution,[],[f378,f265]) ).
fof(f389,plain,
( ! [X0] : cyclic(sK0,sK0,X0,sK4)
| ~ spl25_2 ),
inference(resolution,[],[f385,f266]) ).
fof(f393,plain,
( ! [X0] : cyclic(sK0,sK0,sK4,X0)
| ~ spl25_2 ),
inference(resolution,[],[f389,f267]) ).
fof(f401,plain,
( ! [X0,X1] :
( ~ cyclic(sK0,sK0,sK4,X0)
| cyclic(sK0,sK4,X0,X1) )
| ~ spl25_2 ),
inference(resolution,[],[f393,f264]) ).
fof(f402,plain,
( ! [X0,X1] : cyclic(sK0,sK4,X0,X1)
| ~ spl25_2 ),
inference(forward_subsumption_resolution,[],[f401,f393]) ).
fof(f407,plain,
( ! [X2,X0,X1] :
( ~ cyclic(sK0,sK4,X0,X1)
| cyclic(sK4,X0,X1,X2) )
| ~ spl25_2 ),
inference(resolution,[],[f402,f264]) ).
fof(f408,plain,
( ! [X2,X0,X1] : cyclic(sK4,X0,X1,X2)
| ~ spl25_2 ),
inference(forward_subsumption_resolution,[],[f407,f402]) ).
fof(f410,plain,
( $false
| ~ spl25_2 ),
inference(unit_resulting_resolution,[],[f264,f243,f408,f408]) ).
fof(f417,plain,
~ spl25_2,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f419,plain,
( ! [X0] :
( ~ eqangle(sK0,X0,sK0,sK4,sK0,X0,sK0,sK4)
| cyclic(X0,sK4,sK0,sK0) )
| ~ spl25_1 ),
inference(resolution,[],[f357,f261]) ).
fof(f420,plain,
( ! [X0] : cyclic(X0,sK4,sK0,sK0)
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f419,f352]) ).
fof(f424,plain,
( ! [X0] : cyclic(sK4,X0,sK0,sK0)
| ~ spl25_1 ),
inference(resolution,[],[f420,f265]) ).
fof(f426,plain,
( spl25_2
| ~ spl25_1 ),
inference(avatar_split_clause,[],[f424,f356,f359]) ).
cnf(s1,plain,
( spl25_1
| spl25_2 ),
inference(sat_conversion,[],[f361]) ).
cnf(s3,plain,
~ spl25_2,
inference(sat_conversion,[],[f417]) ).
cnf(s4,plain,
( ~ spl25_1
| spl25_2 ),
inference(sat_conversion,[],[f426]) ).
cnf(s5,plain,
~ spl25_1,
inference(rat,[],[s4,s3]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s3,s5]) ).
fof(f427,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO601+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 08:37:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 5.07/1.62 % (641158)Detected formulas, will run a generic FOF schedule.
% 5.07/1.62 % (641164)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=844763300:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.07/1.62 % (641168)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3348456985:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.07/1.62 % (641165)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=2107897328:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.07/1.62 % (641163)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=3543348372:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.07/1.62 % (641167)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3543462299:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.07/1.62 % (641166)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3010469358:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.07/1.62 % (641166)Refutation not found, incomplete strategy
% 5.07/1.62 % (641166)------------------------------
% 5.07/1.62 % (641166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (641166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (641166)CaDiCaL version: 2.1.3
% 5.07/1.62 % (641166)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.62 % (641166)Time elapsed: 0.004 s
% 5.07/1.62 % (641166)Peak memory usage: 88 MB
% 5.07/1.62 % (641166)Instructions burned: 6 (million)
% 5.07/1.62 % (641169)dis-21_1_sil=8000:lcm=predicate:random_seed=1812774825: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)
% 5.07/1.62 % (641167)Instruction limit reached!
% 5.07/1.62 % (641167)------------------------------
% 5.07/1.62 % (641167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (641167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (641167)CaDiCaL version: 2.1.3
% 5.07/1.62 % (641167)Termination reason: Instruction limit
% 5.07/1.62 % (641167)Termination phase: Saturation
% 5.07/1.62 % (641167)Time elapsed: 0.067 s
% 5.07/1.62 % (641167)Peak memory usage: 88 MB
% 5.07/1.62 % (641167)Instructions burned: 120 (million)
% 5.07/1.62 % (641169)Instruction limit reached!
% 5.07/1.62 % (641169)------------------------------
% 5.07/1.62 % (641169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (641169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (641169)CaDiCaL version: 2.1.3
% 5.07/1.62 % (641169)Termination reason: Instruction limit
% 5.07/1.62 % (641169)Termination phase: Saturation
% 5.07/1.62 % (641169)Time elapsed: 0.073 s
% 5.07/1.62 % (641169)Peak memory usage: 89 MB
% 5.07/1.62 % (641169)Instructions burned: 130 (million)
% 5.07/1.62 % (641168)Instruction limit reached!
% 5.07/1.62 % (641168)------------------------------
% 5.07/1.62 % (641168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (641168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.63 % (641168)CaDiCaL version: 2.1.3
% 5.07/1.63 % (641168)Termination reason: Instruction limit
% 5.07/1.63 % (641168)Termination phase: Saturation
% 5.07/1.63 % (641168)Time elapsed: 0.154 s
% 5.07/1.63 % (641168)Peak memory usage: 90 MB
% 5.07/1.63 % (641168)Instructions burned: 139 (million)
% 5.07/1.63 % (641177)lrs+10_1_sil=8000:sp=occurrence:random_seed=2830507378:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.07/1.63 % (641178)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3582977731:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.07/1.63 % (641178)Refutation not found, incomplete strategy
% 5.07/1.63 % (641178)------------------------------
% 5.07/1.63 % (641178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.63 % (641178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.63 % (641178)CaDiCaL version: 2.1.3
% 5.07/1.63 % (641178)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.63 % (641178)Time elapsed: 0.005 s
% 5.07/1.63 % (641178)Peak memory usage: 88 MB
% 5.07/1.63 % (641178)Instructions burned: 8 (million)
% 5.07/1.63 % (641166)------------------------------
% 5.07/1.63 % (641166)------------------------------
% 5.07/1.63 % (641179)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2419414650:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.07/1.63 % (641182)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=1693231233:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.07/1.63 % (641164)First to succeed.
% 5.07/1.63 % (641164)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-641158"
% 5.07/1.63 % (641177)Instruction limit reached!
% 5.07/1.63 % (641177)------------------------------
% 5.07/1.63 % (641177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.63 % (641177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.63 % (641177)CaDiCaL version: 2.1.3
% 5.07/1.63 % (641177)Termination reason: Instruction limit
% 5.07/1.63 % (641177)Termination phase: Saturation
% 5.07/1.63 % (641177)Time elapsed: 0.183 s
% 5.07/1.63 % (641177)Peak memory usage: 92 MB
% 5.07/1.63 % (641177)Instructions burned: 285 (million)
% 5.07/1.63 % (641179)Instruction limit reached!
% 5.07/1.63 % (641179)------------------------------
% 5.07/1.63 % (641179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.63 % (641179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.63 % (641179)CaDiCaL version: 2.1.3
% 5.07/1.63 % (641179)Termination reason: Instruction limit
% 5.07/1.63 % (641179)Termination phase: Saturation
% 5.07/1.63 % (641179)Time elapsed: 0.115 s
% 5.07/1.63 % (641179)Peak memory usage: 88 MB
% 5.07/1.63 % (641179)Instructions burned: 325 (million)
% 5.07/1.63 % (641182)Instruction limit reached!
% 5.07/1.63 % (641182)------------------------------
% 5.07/1.63 % (641182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.63 % (641182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.63 % (641182)CaDiCaL version: 2.1.3
% 5.07/1.63 % (641182)Termination reason: Instruction limit
% 5.07/1.63 % (641182)Termination phase: Saturation
% 5.07/1.63 % (641182)Time elapsed: 0.075 s
% 5.07/1.63 % (641182)Peak memory usage: 90 MB
% 5.07/1.63 % (641182)Instructions burned: 251 (million)
% 5.07/1.63 % (641178)------------------------------
% 5.07/1.63 % (641178)------------------------------
% 5.07/1.63 % (641187)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1174805171:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.07/1.63 % (641186)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4282111279:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.07/1.63 % (641185)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3563989920:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.07/1.63 % (641187)Instruction limit reached!
% 5.07/1.63 % (641187)------------------------------
% 5.07/1.63 % (641187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.63 % (641187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.63 % (641187)CaDiCaL version: 2.1.3
% 5.07/1.63 % (641187)Termination reason: Instruction limit
% 5.07/1.63 % (641187)Termination phase: Saturation
% 5.07/1.63 % (641187)Time elapsed: 0.037 s
% 5.07/1.63 % (641187)Peak memory usage: 90 MB
% 5.07/1.63 % (641187)Instructions burned: 115 (million)
% 5.07/1.63 % (641188)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4019558516:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.07/1.63 % (641164)Refutation found. Thanks to Tanya!
% 5.07/1.63 % SZS status Theorem for theBenchmark
% 5.07/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 6.03/1.82 % (641164)------------------------------
% 6.03/1.82 % (641164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.82 % (641164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.82 % (641164)CaDiCaL version: 2.1.3
% 6.03/1.82 % (641164)Termination reason: Refutation
% 6.03/1.82 % (641164)Time elapsed: 0.413 s
% 6.03/1.82 % (641164)Peak memory usage: 131 MB
% 6.03/1.82 % (641164)Instructions burned: 970 (million)
% 6.03/1.82 % (641164)------------------------------
% 6.03/1.82 % (641164)------------------------------
% 6.03/1.82 % (641158)Success in time 0.776 s
% 6.03/1.82 % Vampire exiting
%------------------------------------------------------------------------------