%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO588+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 : n026.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 09:53:00 AM UTC 2026
% Result : Theorem 4.47s 1.52s
% Output : Refutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 10 unt; 2 def)
% Number of atoms : 249 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 264 ( 101 ~; 96 |; 51 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 347 ( 0 sgn 327 !; 20 ?)
% 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(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
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(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X2,X0,X1)
& perp(X0,X1,X2,X3)
& circle(X4,X0,X1,X3)
& circle(X4,X3,X5,X9)
& coll(X5,X3,X2)
& midp(X6,X3,X0)
& midp(X7,X5,X1)
& coll(X8,X2,X4)
& coll(X8,X6,X7) )
=> para(X6,X4,X2,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416050) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X2,X0,X1)
& perp(X0,X1,X2,X3)
& circle(X4,X0,X1,X3)
& circle(X4,X3,X5,X9)
& coll(X5,X3,X2)
& midp(X6,X3,X0)
& midp(X7,X5,X1)
& coll(X8,X2,X4)
& coll(X8,X6,X7) )
=> para(X6,X4,X2,X7) ),
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(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
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(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X6,X4,X2,X7)
& coll(X2,X0,X1)
& perp(X0,X1,X2,X3)
& circle(X4,X0,X1,X3)
& circle(X4,X3,X5,X9)
& coll(X5,X3,X2)
& midp(X6,X3,X0)
& midp(X7,X5,X1)
& coll(X8,X2,X4)
& coll(X8,X6,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X6,X4,X2,X7)
& coll(X2,X0,X1)
& perp(X0,X1,X2,X3)
& circle(X4,X0,X1,X3)
& circle(X4,X3,X5,X9)
& coll(X5,X3,X2)
& midp(X6,X3,X0)
& midp(X7,X5,X1)
& coll(X8,X2,X4)
& coll(X8,X6,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK26,sK24,sK22,sK27)
& coll(sK22,sK20,sK21)
& perp(sK20,sK21,sK22,sK23)
& circle(sK24,sK20,sK21,sK23)
& circle(sK24,sK23,sK25,sK29)
& coll(sK25,sK23,sK22)
& midp(sK26,sK23,sK20)
& midp(sK27,sK25,sK21)
& coll(sK28,sK22,sK24)
& coll(sK28,sK26,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),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)],[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(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
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(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f391,plain,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ para(sK26,sK24,sK22,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK22,sK23) ),
inference(resolution,[],[f391,f279]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f311,f314]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f395]) ).
fof(f407,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(f409,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f407,f309]) ).
fof(f413,definition,
( spl30_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f414,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,definition,
( spl30_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f417,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f409,f416,f413]) ).
fof(f431,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(f447,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f431]) ).
fof(f453,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f431]) ).
fof(f459,plain,
perp(sK22,sK23,sK20,sK21),
inference(resolution,[],[f278,f391]) ).
fof(f462,plain,
para(sK22,sK23,sK22,sK23),
inference(resolution,[],[f459,f394]) ).
fof(f466,plain,
( $false
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f462,f417]) ).
fof(f467,plain,
~ spl30_2,
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f469,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0) )
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f447,f414]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f453,f414]) ).
fof(f476,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f473,f469]) ).
fof(f479,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl30_1 ),
inference(resolution,[],[f476,f287]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f479,f476]) ).
fof(f486,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl30_1 ),
inference(resolution,[],[f483,f396]) ).
fof(f490,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f486,f483]) ).
fof(f492,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f490,f483]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl30_1 ),
inference(resolution,[],[f492,f327]) ).
fof(f494,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f493,f492]) ).
fof(f495,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f494,f278]) ).
fof(f497,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl30_1 ),
inference(resolution,[],[f494,f279]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl30_1 ),
inference(resolution,[],[f495,f497]) ).
fof(f507,plain,
( $false
| ~ spl30_1 ),
inference(resolution,[],[f506,f393]) ).
fof(f509,plain,
~ spl30_1,
inference(avatar_contradiction_clause,[],[f507]) ).
cnf(s1,plain,
( spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f418]) ).
cnf(s2,plain,
~ spl30_2,
inference(sat_conversion,[],[f467]) ).
cnf(s3,plain,
~ spl30_1,
inference(sat_conversion,[],[f509]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f510,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO588+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:37:41 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 4.47/1.52 % (2530268)Detected formulas, will run a generic FOF schedule.
% 4.47/1.52 % (2530273)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=1898559109:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.47/1.52 % (2530279)dis-21_1_sil=8000:lcm=predicate:random_seed=3446313454:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.47/1.52 % (2530276)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=20814354:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.47/1.52 % (2530277)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2788590765:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.47/1.52 % (2530278)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3473044846:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.47/1.52 % (2530275)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=453217227:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.47/1.52 % (2530274)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=4249361543:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.47/1.52 % (2530277)Instruction limit reached!
% 4.47/1.52 % (2530277)------------------------------
% 4.47/1.52 % (2530277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (2530277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (2530277)CaDiCaL version: 2.1.3
% 4.47/1.52 % (2530277)Termination reason: Instruction limit
% 4.47/1.52 % (2530277)Termination phase: Saturation
% 4.47/1.52 % (2530277)Time elapsed: 0.067 s
% 4.47/1.52 % (2530277)Peak memory usage: 88 MB
% 4.47/1.52 % (2530277)Instructions burned: 119 (million)
% 4.47/1.52 % (2530276)Instruction limit reached!
% 4.47/1.52 % (2530276)------------------------------
% 4.47/1.52 % (2530276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (2530276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (2530276)CaDiCaL version: 2.1.3
% 4.47/1.52 % (2530276)Termination reason: Instruction limit
% 4.47/1.52 % (2530276)Termination phase: Saturation
% 4.47/1.52 % (2530276)Time elapsed: 0.069 s
% 4.47/1.52 % (2530276)Peak memory usage: 89 MB
% 4.47/1.52 % (2530276)Instructions burned: 109 (million)
% 4.47/1.52 % (2530279)Instruction limit reached!
% 4.47/1.52 % (2530279)------------------------------
% 4.47/1.52 % (2530279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (2530279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (2530279)CaDiCaL version: 2.1.3
% 4.47/1.52 % (2530279)Termination reason: Instruction limit
% 4.47/1.52 % (2530279)Termination phase: Saturation
% 4.47/1.52 % (2530279)Time elapsed: 0.079 s
% 4.47/1.52 % (2530279)Peak memory usage: 89 MB
% 4.47/1.52 % (2530279)Instructions burned: 130 (million)
% 4.47/1.52 % (2530278)Instruction limit reached!
% 4.47/1.52 % (2530278)------------------------------
% 4.47/1.52 % (2530278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (2530278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (2530278)CaDiCaL version: 2.1.3
% 4.47/1.52 % (2530278)Termination reason: Instruction limit
% 4.47/1.52 % (2530278)Termination phase: Saturation
% 4.47/1.52 % (2530278)Time elapsed: 0.096 s
% 4.47/1.52 % (2530278)Peak memory usage: 90 MB
% 4.47/1.52 % (2530278)Instructions burned: 140 (million)
% 4.47/1.52 % (2530288)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3079762520:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.47/1.52 % (2530287)lrs+10_1_sil=8000:sp=occurrence:random_seed=2843685361:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.47/1.52 % (2530289)lrs+1011_1_sil=32000:sp=occurrence:random_seed=516392338:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.47/1.52 % (2530290)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=1850198039:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.47/1.52 % (2530288)Instruction limit reached!
% 4.47/1.52 % (2530288)------------------------------
% 4.47/1.52 % (2530288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (2530288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (2530288)CaDiCaL version: 2.1.3
% 4.47/1.52 % (2530288)Termination reason: Instruction limit
% 4.47/1.52 % (2530288)Termination phase: Saturation
% 4.47/1.52 % (2530288)Time elapsed: 0.085 s
% 4.47/1.52 % (2530288)Peak memory usage: 90 MB
% 4.47/1.52 % (2530288)Instructions burned: 158 (million)
% 4.47/1.52 % (2530273)First to succeed.
% 4.47/1.52 % (2530273)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2530268"
% 4.47/1.52 % (2530290)Instruction limit reached!
% 4.47/1.52 % (2530290)------------------------------
% 4.47/1.52 % (2530290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (2530290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (2530290)CaDiCaL version: 2.1.3
% 4.47/1.52 % (2530290)Termination reason: Instruction limit
% 4.47/1.52 % (2530290)Termination phase: Saturation
% 4.47/1.52 % (2530290)Time elapsed: 0.134 s
% 4.47/1.52 % (2530290)Peak memory usage: 91 MB
% 4.47/1.52 % (2530290)Instructions burned: 249 (million)
% 4.47/1.52 % (2530287)Instruction limit reached!
% 4.47/1.52 % (2530287)------------------------------
% 4.47/1.52 % (2530287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (2530287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (2530287)CaDiCaL version: 2.1.3
% 4.47/1.52 % (2530287)Termination reason: Instruction limit
% 4.47/1.52 % (2530287)Termination phase: Saturation
% 4.47/1.52 % (2530287)Time elapsed: 0.185 s
% 4.47/1.52 % (2530287)Peak memory usage: 92 MB
% 4.47/1.52 % (2530287)Instructions burned: 285 (million)
% 4.47/1.52 % (2530295)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=447191488:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.47/1.52 % (2530289)Instruction limit reached!
% 4.47/1.52 % (2530289)------------------------------
% 4.47/1.52 % (2530289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (2530289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (2530289)CaDiCaL version: 2.1.3
% 4.47/1.52 % (2530289)Termination reason: Instruction limit
% 4.47/1.52 % (2530289)Termination phase: Saturation
% 4.47/1.52 % (2530289)Time elapsed: 0.217 s
% 4.47/1.52 % (2530289)Peak memory usage: 92 MB
% 4.47/1.52 % (2530289)Instructions burned: 325 (million)
% 4.47/1.52 % (2530296)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1185604252:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.47/1.52 % (2530273)Refutation found. Thanks to Tanya!
% 4.47/1.52 % SZS status Theorem for theBenchmark
% 4.47/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 5.21/1.62 % (2530273)------------------------------
% 5.21/1.62 % (2530273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.21/1.62 % (2530273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.21/1.62 % (2530273)CaDiCaL version: 2.1.3
% 5.21/1.62 % (2530273)Termination reason: Refutation
% 5.21/1.62 % (2530273)Time elapsed: 0.380 s
% 5.21/1.62 % (2530273)Peak memory usage: 131 MB
% 5.21/1.62 % (2530273)Instructions burned: 982 (million)
% 5.21/1.62 % (2530273)------------------------------
% 5.21/1.62 % (2530273)------------------------------
% 5.21/1.62 % (2530268)Success in time 0.66 s
% 5.21/1.62 % Vampire exiting
%------------------------------------------------------------------------------