%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO631+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 : n007.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 3.68s 1.60s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 82 ( 12 unt; 2 def)
% Number of atoms : 233 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 225 ( 74 ~; 70 |; 67 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 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 : 260 ( 0 sgn 234 !; 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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/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/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(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)
& circle(X3,X0,X5,X12)
& perp(X6,X5,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1)
& perp(X8,X5,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X5,X2,X4)
& coll(X9,X2,X4)
& coll(X10,X6,X7)
& coll(X10,X8,X9) )
=> cyclic(X5,X7,X10,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110994) ).
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)
& circle(X3,X0,X5,X12)
& perp(X6,X5,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1)
& perp(X8,X5,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X5,X2,X4)
& coll(X9,X2,X4)
& coll(X10,X6,X7)
& coll(X10,X8,X9) )
=> cyclic(X5,X7,X10,X8) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X5,X7,X10,X8)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X5,X12)
& perp(X6,X5,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1)
& perp(X8,X5,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X5,X2,X4)
& coll(X9,X2,X4)
& coll(X10,X6,X7)
& coll(X10,X8,X9) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ cyclic(X5,X7,X10,X8)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X5,X12)
& perp(X6,X5,X0,X4)
& coll(X6,X0,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1)
& perp(X8,X5,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X5,X2,X4)
& coll(X9,X2,X4)
& coll(X10,X6,X7)
& coll(X10,X8,X9) ),
inference(flattening,[],[f98]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f141,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(f142,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,[],[f141]) ).
fof(f143,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(f144,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,[],[f143]) ).
fof(f146,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(f147,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f157,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(f170,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(f174,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(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f174]) ).
fof(f220,plain,
( ~ cyclic(sK5,sK7,sK10,sK8)
& circle(sK3,sK0,sK1,sK2)
& circle(sK3,sK0,sK4,sK11)
& circle(sK3,sK0,sK5,sK12)
& perp(sK6,sK5,sK0,sK4)
& coll(sK6,sK0,sK4)
& perp(sK7,sK5,sK0,sK1)
& coll(sK7,sK0,sK1)
& perp(sK8,sK5,sK1,sK2)
& coll(sK8,sK1,sK2)
& perp(sK9,sK5,sK2,sK4)
& coll(sK9,sK2,sK4)
& coll(sK10,sK6,sK7)
& coll(sK10,sK8,sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11),skolemize(X12,sK12)],[f99]) ).
fof(f246,plain,
perp(sK7,sK5,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
~ cyclic(sK5,sK7,sK10,sK8),
inference(cnf_transformation,[],[f220]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f283,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,[],[f142]) ).
fof(f284,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,[],[f144]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f147]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f294,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,[],[f157]) ).
fof(f305,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f170]) ).
fof(f308,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,[],[f175]) ).
fof(f341,plain,
perp(sK0,sK1,sK7,sK5),
inference(resolution,[],[f267,f246]) ).
fof(f345,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK7,sK5)
| para(X0,X1,sK0,sK1) ),
inference(resolution,[],[f308,f246]) ).
fof(f403,plain,
para(sK0,sK1,sK0,sK1),
inference(resolution,[],[f345,f341]) ).
fof(f404,plain,
! [X0,X1] : eqangle(sK0,sK1,X0,X1,sK0,sK1,X0,X1),
inference(resolution,[],[f403,f305]) ).
fof(f562,plain,
! [X0] :
( cyclic(sK1,X0,sK0,sK0)
| coll(sK0,sK0,sK1) ),
inference(resolution,[],[f404,f284]) ).
fof(f566,plain,
! [X0,X1] : eqangle(X0,X1,sK0,sK1,X0,X1,sK0,sK1),
inference(resolution,[],[f404,f294]) ).
fof(f570,definition,
( spl31_7
<=> coll(sK0,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f571,plain,
( coll(sK0,sK0,sK1)
| ~ spl31_7 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f573,definition,
( spl31_8
<=> ! [X0] : cyclic(sK1,X0,sK0,sK0) ),
introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).
fof(f574,plain,
( ! [X0] : cyclic(sK1,X0,sK0,sK0)
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f575,plain,
( spl31_7
| spl31_8 ),
inference(avatar_split_clause,[],[f562,f573,f570]) ).
fof(f576,plain,
( ! [X0] :
( ~ eqangle(sK0,X0,sK0,sK1,sK0,X0,sK0,sK1)
| cyclic(X0,sK1,sK0,sK0) )
| ~ spl31_7 ),
inference(resolution,[],[f571,f283]) ).
fof(f577,plain,
( ! [X0] : cyclic(X0,sK1,sK0,sK0)
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f576,f566]) ).
fof(f579,plain,
( ! [X0] : cyclic(X0,sK0,sK1,sK0)
| ~ spl31_7 ),
inference(resolution,[],[f577,f288]) ).
fof(f586,plain,
( ! [X0] : cyclic(X0,sK1,sK0,sK0)
| ~ spl31_8 ),
inference(resolution,[],[f574,f287]) ).
fof(f589,plain,
( ! [X0] : cyclic(X0,sK0,sK0,sK1)
| ~ spl31_7 ),
inference(resolution,[],[f579,f289]) ).
fof(f596,plain,
( ! [X0] : cyclic(sK0,X0,sK0,sK1)
| ~ spl31_7 ),
inference(resolution,[],[f589,f287]) ).
fof(f605,plain,
( ! [X0] : cyclic(sK0,sK0,X0,sK1)
| ~ spl31_7 ),
inference(resolution,[],[f596,f288]) ).
fof(f609,plain,
( ! [X0] : cyclic(sK0,sK0,sK1,X0)
| ~ spl31_7 ),
inference(resolution,[],[f605,f289]) ).
fof(f618,plain,
( ! [X0,X1] :
( ~ cyclic(sK0,sK0,sK1,X0)
| cyclic(sK0,sK1,X0,X1) )
| ~ spl31_7 ),
inference(resolution,[],[f609,f286]) ).
fof(f619,plain,
( ! [X0,X1] : cyclic(sK0,sK1,X0,X1)
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f618,f609]) ).
fof(f624,plain,
( ! [X2,X0,X1] :
( ~ cyclic(sK0,sK1,X0,X1)
| cyclic(sK1,X0,X1,X2) )
| ~ spl31_7 ),
inference(resolution,[],[f619,f286]) ).
fof(f625,plain,
( ! [X2,X0,X1] : cyclic(sK1,X0,X1,X2)
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f624,f619]) ).
fof(f627,plain,
( $false
| ~ spl31_7 ),
inference(unit_resulting_resolution,[],[f286,f252,f625,f625]) ).
fof(f634,plain,
~ spl31_7,
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f637,plain,
( ! [X0] : cyclic(X0,sK0,sK1,sK0)
| ~ spl31_8 ),
inference(resolution,[],[f586,f288]) ).
fof(f641,plain,
( ! [X0] : cyclic(X0,sK0,sK0,sK1)
| ~ spl31_8 ),
inference(resolution,[],[f637,f289]) ).
fof(f648,plain,
( ! [X0] : cyclic(sK0,X0,sK0,sK1)
| ~ spl31_8 ),
inference(resolution,[],[f641,f287]) ).
fof(f652,plain,
( ! [X0] : cyclic(sK0,sK0,X0,sK1)
| ~ spl31_8 ),
inference(resolution,[],[f648,f288]) ).
fof(f656,plain,
( ! [X0] : cyclic(sK0,sK0,sK1,X0)
| ~ spl31_8 ),
inference(resolution,[],[f652,f289]) ).
fof(f665,plain,
( ! [X0,X1] :
( ~ cyclic(sK0,sK0,sK1,X0)
| cyclic(sK0,sK1,X0,X1) )
| ~ spl31_8 ),
inference(resolution,[],[f656,f286]) ).
fof(f666,plain,
( ! [X0,X1] : cyclic(sK0,sK1,X0,X1)
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f665,f656]) ).
fof(f671,plain,
( ! [X2,X0,X1] :
( ~ cyclic(sK0,sK1,X0,X1)
| cyclic(sK1,X0,X1,X2) )
| ~ spl31_8 ),
inference(resolution,[],[f666,f286]) ).
fof(f672,plain,
( ! [X2,X0,X1] : cyclic(sK1,X0,X1,X2)
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f671,f666]) ).
fof(f674,plain,
( $false
| ~ spl31_8 ),
inference(unit_resulting_resolution,[],[f286,f252,f672,f672]) ).
fof(f681,plain,
~ spl31_8,
inference(avatar_contradiction_clause,[],[f674]) ).
cnf(s10,plain,
( spl31_7
| spl31_8 ),
inference(sat_conversion,[],[f575]) ).
cnf(s13,plain,
~ spl31_7,
inference(sat_conversion,[],[f634]) ).
cnf(s15,plain,
~ spl31_8,
inference(sat_conversion,[],[f681]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s10,s15,s13]) ).
fof(f683,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO631+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:38:25 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.68/1.60 % (1108365)Detected formulas, will run a generic FOF schedule.
% 3.68/1.60 % (1108371)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=3200339824:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.68/1.60 % (1108373)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3305251906:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.68/1.60 % (1108375)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3770534893:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.68/1.60 % (1108372)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=4283364146:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.68/1.60 % (1108370)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=2684873833:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.68/1.60 % (1108374)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=496434640:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.68/1.60 % (1108376)dis-21_1_sil=8000:lcm=predicate:random_seed=1509239189: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)
% 3.68/1.60 % (1108373)Refutation not found, incomplete strategy
% 3.68/1.60 % (1108373)------------------------------
% 3.68/1.60 % (1108373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.60 % (1108373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.60 % (1108373)CaDiCaL version: 2.1.3
% 3.68/1.60 % (1108373)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.60 % (1108373)Time elapsed: 0.058 s
% 3.68/1.60 % (1108373)Peak memory usage: 89 MB
% 3.68/1.60 % (1108373)Instructions burned: 108 (million)
% 3.68/1.60 % (1108374)Instruction limit reached!
% 3.68/1.60 % (1108374)------------------------------
% 3.68/1.60 % (1108374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.60 % (1108374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.60 % (1108374)CaDiCaL version: 2.1.3
% 3.68/1.60 % (1108374)Termination reason: Instruction limit
% 3.68/1.60 % (1108374)Termination phase: Saturation
% 3.68/1.60 % (1108374)Time elapsed: 0.067 s
% 3.68/1.60 % (1108374)Peak memory usage: 88 MB
% 3.68/1.60 % (1108374)Instructions burned: 119 (million)
% 3.68/1.60 % (1108376)Instruction limit reached!
% 3.68/1.60 % (1108376)------------------------------
% 3.68/1.60 % (1108376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.60 % (1108376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.60 % (1108376)CaDiCaL version: 2.1.3
% 3.68/1.60 % (1108376)Termination reason: Instruction limit
% 3.68/1.60 % (1108376)Termination phase: Saturation
% 3.68/1.60 % (1108376)Time elapsed: 0.074 s
% 3.68/1.60 % (1108376)Peak memory usage: 89 MB
% 3.68/1.60 % (1108376)Instructions burned: 129 (million)
% 3.68/1.60 % (1108375)Instruction limit reached!
% 3.68/1.60 % (1108375)------------------------------
% 3.68/1.60 % (1108375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.60 % (1108375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.60 % (1108375)CaDiCaL version: 2.1.3
% 3.68/1.60 % (1108375)Termination reason: Instruction limit
% 3.68/1.60 % (1108375)Termination phase: Saturation
% 3.68/1.60 % (1108375)Time elapsed: 0.087 s
% 3.68/1.60 % (1108375)Peak memory usage: 90 MB
% 3.68/1.60 % (1108375)Instructions burned: 139 (million)
% 3.68/1.60 % (1108384)lrs+10_1_sil=8000:sp=occurrence:random_seed=3333604048:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.68/1.60 % (1108385)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3551664028:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.68/1.60 % (1108386)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2741455092:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.68/1.60 % (1108373)------------------------------
% 3.68/1.60 % (1108373)------------------------------
% 3.68/1.60 % (1108385)Instruction limit reached!
% 3.68/1.60 % (1108385)------------------------------
% 3.68/1.60 % (1108385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.60 % (1108385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.60 % (1108385)CaDiCaL version: 2.1.3
% 3.68/1.60 % (1108385)Termination reason: Instruction limit
% 3.68/1.60 % (1108385)Termination phase: Saturation
% 3.68/1.60 % (1108385)Time elapsed: 0.077 s
% 3.68/1.60 % (1108385)Peak memory usage: 89 MB
% 3.68/1.60 % (1108385)Instructions burned: 158 (million)
% 3.68/1.60 % (1108371)First to succeed.
% 3.68/1.60 % (1108371)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1108365"
% 3.68/1.60 % (1108384)Instruction limit reached!
% 3.68/1.60 % (1108384)------------------------------
% 3.68/1.60 % (1108384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.60 % (1108384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.60 % (1108384)CaDiCaL version: 2.1.3
% 3.68/1.60 % (1108384)Termination reason: Instruction limit
% 3.68/1.60 % (1108384)Termination phase: Saturation
% 3.68/1.60 % (1108384)Time elapsed: 0.182 s
% 3.68/1.60 % (1108384)Peak memory usage: 92 MB
% 3.68/1.60 % (1108384)Instructions burned: 285 (million)
% 3.68/1.60 % (1108386)Instruction limit reached!
% 3.68/1.60 % (1108386)------------------------------
% 3.68/1.60 % (1108386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.60 % (1108386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.60 % (1108386)CaDiCaL version: 2.1.3
% 3.68/1.60 % (1108386)Termination reason: Instruction limit
% 3.68/1.60 % (1108386)Termination phase: Saturation
% 3.68/1.60 % (1108386)Time elapsed: 0.214 s
% 3.68/1.60 % (1108386)Peak memory usage: 92 MB
% 3.68/1.60 % (1108386)Instructions burned: 326 (million)
% 3.68/1.60 % (1108390)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=1573952457:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.68/1.60 % (1108391)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1066785116:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.68/1.60 % (1108371)Refutation found. Thanks to Tanya!
% 3.68/1.60 % SZS status Theorem for theBenchmark
% 3.68/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.71 % (1108371)------------------------------
% 0.18/1.71 % (1108371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.71 % (1108371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.71 % (1108371)CaDiCaL version: 2.1.3
% 0.18/1.71 % (1108371)Termination reason: Refutation
% 0.18/1.71 % (1108371)Time elapsed: 0.422 s
% 0.18/1.71 % (1108371)Peak memory usage: 130 MB
% 0.18/1.71 % (1108371)Instructions burned: 1022 (million)
% 0.18/1.71 % (1108371)------------------------------
% 0.18/1.71 % (1108371)------------------------------
% 0.18/1.71 % (1108365)Success in time 0.722 s
% 0.18/1.71 % Vampire exiting
%------------------------------------------------------------------------------