%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO563+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 : n004.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 09:52:56 AM UTC 2026
% Result : Theorem 4.64s 1.58s
% Output : Refutation 5.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of formulae : 98 ( 13 unt; 2 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 223 ( 80 ~; 87 |; 38 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 446 ( 0 sgn 422 !; 24 ?)
% 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(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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).
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(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).
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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X4)
& circle(X6,X5,X2,X0)
& circle(X6,X0,X7,X10)
& coll(X8,X1,X4)
& coll(X8,X5,X7) )
=> eqangle(X1,X8,X8,X7,X1,X2,X2,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214024) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X4)
& circle(X6,X5,X2,X0)
& circle(X6,X0,X7,X10)
& coll(X8,X1,X4)
& coll(X8,X5,X7) )
=> eqangle(X1,X8,X8,X7,X1,X2,X2,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X1,X8,X8,X7,X1,X2,X2,X7)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X4)
& circle(X6,X5,X2,X0)
& circle(X6,X0,X7,X10)
& coll(X8,X1,X4)
& coll(X8,X5,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X1,X8,X8,X7,X1,X2,X2,X7)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X4)
& circle(X6,X5,X2,X0)
& circle(X6,X0,X7,X10)
& coll(X8,X1,X4)
& coll(X8,X5,X7) ),
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(f121,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(flattening,[],[f121]) ).
fof(f125,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(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f147,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(f148,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,[],[f147]) ).
fof(f149,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(f150,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,[],[f149]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f152,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(f153,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f152]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
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(f171,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(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,
( ~ eqangle(sK1,sK8,sK8,sK7,sK1,sK2,sK2,sK7)
& circle(sK3,sK0,sK1,sK2)
& circle(sK3,sK0,sK4,sK9)
& coll(sK5,sK0,sK4)
& circle(sK6,sK5,sK2,sK0)
& circle(sK6,sK0,sK7,sK10)
& coll(sK8,sK1,sK4)
& coll(sK8,sK5,sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),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)],[f99]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X4,sK13(X0,X1,X2,X3))],[f108]) ).
fof(f242,plain,
circle(sK6,sK5,sK2,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
~ eqangle(sK1,sK8,sK8,sK7,sK1,sK2,sK2,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
fof(f259,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f122]) ).
fof(f262,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,[],[f125]) ).
fof(f263,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f126]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f282,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,[],[f148]) ).
fof(f283,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,[],[f150]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f153]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f155]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f299,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(f300,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f171]) ).
fof(f302,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(f335,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,sK13(X0,X2,X3,X1),X0)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f275,f252]) ).
fof(f337,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,sK13(X2,X3,X4,X5),X2)
| para(X0,X1,X2,X5)
| ~ circle(X5,X2,X3,X4) ),
inference(resolution,[],[f302,f252]) ).
fof(f343,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f335,f337]) ).
fof(f347,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f350,plain,
para(sK5,sK6,sK5,sK6),
inference(resolution,[],[f347,f242]) ).
fof(f417,plain,
! [X0,X1] : eqangle(sK5,sK6,X0,X1,sK5,sK6,X0,X1),
inference(resolution,[],[f350,f299]) ).
fof(f419,plain,
! [X0,X1] : eqangle(X0,X1,sK5,sK6,X0,X1,sK5,sK6),
inference(resolution,[],[f417,f262]) ).
fof(f1013,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f419,f300]) ).
fof(f1020,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[],[f1013,f299]) ).
fof(f1023,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[],[f1020,f263]) ).
fof(f1029,plain,
! [X2,X0,X1] :
( cyclic(X0,X1,X2,X2)
| coll(X2,X2,X0) ),
inference(resolution,[],[f1020,f283]) ).
fof(f1064,plain,
! [X2,X0,X1] :
( cyclic(X1,X0,X2,X0)
| coll(X0,X0,X1) ),
inference(resolution,[],[f1029,f287]) ).
fof(f1072,plain,
! [X2,X0,X1] :
( cyclic(X1,X0,X0,X2)
| coll(X0,X0,X1) ),
inference(resolution,[],[f1064,f288]) ).
fof(f1086,plain,
! [X2,X3,X0,X1] :
( coll(X0,X0,X1)
| ~ cyclic(X1,X0,X0,X2)
| cyclic(X0,X0,X2,X3) ),
inference(resolution,[],[f1072,f285]) ).
fof(f1090,plain,
! [X2,X3,X0,X1] :
( coll(X0,X0,X1)
| cyclic(X0,X0,X2,X3) ),
inference(forward_subsumption_resolution,[],[f1086,f1072]) ).
fof(f1099,plain,
! [X2,X3,X0,X1,X4] :
( coll(X0,X0,X1)
| ~ cyclic(X0,X0,X2,X3)
| cyclic(X0,X2,X3,X4) ),
inference(resolution,[],[f1090,f285]) ).
fof(f1103,plain,
! [X2,X3,X0,X1,X4] :
( coll(X0,X0,X1)
| cyclic(X0,X2,X3,X4) ),
inference(forward_subsumption_resolution,[],[f1099,f1090]) ).
fof(f1107,plain,
! [X2,X3,X0,X1,X4,X5] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X0,X4,X0,X5,X0,X4,X0,X5)
| cyclic(X4,X5,X0,X0) ),
inference(resolution,[],[f1103,f282]) ).
fof(f1134,plain,
! [X2,X3,X0,X1,X4,X5] :
( cyclic(X0,X1,X2,X3)
| cyclic(X4,X5,X0,X0) ),
inference(forward_subsumption_resolution,[],[f1107,f1020]) ).
fof(f1136,definition,
( spl29_11
<=> ! [X4,X5,X2,X3] : cyclic(X2,X3,X4,X5) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f1137,plain,
( ! [X2,X3,X4,X5] : cyclic(X2,X3,X4,X5)
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1147,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ spl29_11 ),
inference(resolution,[],[f1137,f284]) ).
fof(f1154,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
| ~ spl29_11 ),
inference(resolution,[],[f1147,f263]) ).
fof(f1180,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( cyclic(X0,X1,X2,X2)
| ~ cyclic(X2,X3,X4,X5)
| cyclic(X3,X4,X5,X6) ),
inference(resolution,[],[f1134,f285]) ).
fof(f1194,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( cyclic(X0,X1,X2,X2)
| cyclic(X3,X4,X5,X6) ),
inference(forward_subsumption_resolution,[],[f1180,f1134]) ).
fof(f1197,plain,
( $false
| ~ spl29_11 ),
inference(unit_resulting_resolution,[],[f259,f246,f1023,f1154]) ).
fof(f1206,plain,
~ spl29_11,
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1213,definition,
( spl29_14
<=> ! [X2,X0,X1] : cyclic(X0,X1,X2,X2) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f1214,plain,
( ! [X2,X0,X1] : cyclic(X0,X1,X2,X2)
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f1215,plain,
( spl29_11
| spl29_14 ),
inference(avatar_split_clause,[],[f1194,f1213,f1136]) ).
fof(f1217,plain,
( ! [X2,X0,X1] : cyclic(X0,X1,X2,X1)
| ~ spl29_14 ),
inference(resolution,[],[f1214,f287]) ).
fof(f1233,plain,
( ! [X2,X0,X1] : cyclic(X0,X1,X1,X2)
| ~ spl29_14 ),
inference(resolution,[],[f1217,f288]) ).
fof(f1247,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X1,X2)
| cyclic(X1,X1,X2,X3) )
| ~ spl29_14 ),
inference(resolution,[],[f1233,f285]) ).
fof(f1251,plain,
( ! [X2,X3,X1] : cyclic(X1,X1,X2,X3)
| ~ spl29_14 ),
inference(forward_subsumption_resolution,[],[f1247,f1233]) ).
fof(f1259,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_14 ),
inference(resolution,[],[f1251,f285]) ).
fof(f1263,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl29_14 ),
inference(forward_subsumption_resolution,[],[f1259,f1251]) ).
fof(f1265,plain,
( spl29_11
| ~ spl29_14 ),
inference(avatar_split_clause,[],[f1263,f1213,f1136]) ).
cnf(s13,plain,
~ spl29_11,
inference(sat_conversion,[],[f1206]) ).
cnf(s15,plain,
( spl29_11
| spl29_14 ),
inference(sat_conversion,[],[f1215]) ).
cnf(s16,plain,
( spl29_11
| ~ spl29_14 ),
inference(sat_conversion,[],[f1265]) ).
cnf(s17,plain,
~ spl29_14,
inference(rat,[],[s16,s13]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s15,s17,s13]) ).
fof(f1267,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO563+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:31:22 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 4.64/1.58 % (3199278)Detected formulas, will run a generic FOF schedule.
% 4.64/1.58 % (3199284)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=1165319774:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.64/1.58 % (3199283)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=3806064903:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.64/1.58 % (3199288)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1205611127:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.64/1.58 % (3199287)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1081585079:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.64/1.58 % (3199286)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4151393434:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.64/1.58 % (3199285)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=317104092:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.64/1.58 % (3199289)dis-21_1_sil=8000:lcm=predicate:random_seed=2851782428: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)
% 4.64/1.58 % (3199286)Refutation not found, incomplete strategy
% 4.64/1.58 % (3199286)------------------------------
% 4.64/1.58 % (3199286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.58 % (3199286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.58 % (3199286)CaDiCaL version: 2.1.3
% 4.64/1.58 % (3199286)Termination reason: Refutation not found, incomplete strategy
% 4.64/1.58 % (3199286)Time elapsed: 0.015 s
% 4.64/1.58 % (3199286)Peak memory usage: 88 MB
% 4.64/1.58 % (3199286)Instructions burned: 27 (million)
% 4.64/1.58 % (3199287)Instruction limit reached!
% 4.64/1.58 % (3199287)------------------------------
% 4.64/1.58 % (3199287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.58 % (3199287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.58 % (3199287)CaDiCaL version: 2.1.3
% 4.64/1.58 % (3199287)Termination reason: Instruction limit
% 4.64/1.58 % (3199287)Termination phase: Saturation
% 4.64/1.58 % (3199287)Time elapsed: 0.068 s
% 4.64/1.58 % (3199287)Peak memory usage: 88 MB
% 4.64/1.58 % (3199287)Instructions burned: 119 (million)
% 4.64/1.58 % (3199289)Instruction limit reached!
% 4.64/1.58 % (3199289)------------------------------
% 4.64/1.58 % (3199289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.58 % (3199289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.58 % (3199289)CaDiCaL version: 2.1.3
% 4.64/1.58 % (3199289)Termination reason: Instruction limit
% 4.64/1.58 % (3199289)Termination phase: Saturation
% 4.64/1.58 % (3199289)Time elapsed: 0.074 s
% 4.64/1.58 % (3199289)Peak memory usage: 89 MB
% 4.64/1.58 % (3199289)Instructions burned: 130 (million)
% 4.64/1.58 % (3199288)Instruction limit reached!
% 4.64/1.58 % (3199288)------------------------------
% 4.64/1.58 % (3199288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.58 % (3199288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.58 % (3199288)CaDiCaL version: 2.1.3
% 4.64/1.58 % (3199288)Termination reason: Instruction limit
% 4.64/1.58 % (3199288)Termination phase: Saturation
% 4.64/1.58 % (3199288)Time elapsed: 0.093 s
% 4.64/1.58 % (3199288)Peak memory usage: 90 MB
% 4.64/1.58 % (3199288)Instructions burned: 140 (million)
% 4.64/1.58 % (3199297)lrs+10_1_sil=8000:sp=occurrence:random_seed=3340283474:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.64/1.58 % (3199299)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1574594675:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.64/1.58 % (3199298)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1048632618:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.64/1.58 % (3199299)Refutation not found, incomplete strategy
% 4.64/1.58 % (3199299)------------------------------
% 4.64/1.58 % (3199299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.58 % (3199299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.58 % (3199299)CaDiCaL version: 2.1.3
% 4.64/1.58 % (3199299)Termination reason: Refutation not found, incomplete strategy
% 4.64/1.58 % (3199299)Time elapsed: 0.006 s
% 4.64/1.58 % (3199299)Peak memory usage: 88 MB
% 4.64/1.58 % (3199299)Instructions burned: 8 (million)
% 4.64/1.58 % (3199298)Refutation not found, incomplete strategy
% 4.64/1.58 % (3199298)------------------------------
% 4.64/1.58 % (3199298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.58 % (3199298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.58 % (3199298)CaDiCaL version: 2.1.3
% 4.64/1.58 % (3199298)Termination reason: Refutation not found, incomplete strategy
% 4.64/1.58 % (3199298)Time elapsed: 0.023 s
% 4.64/1.58 % (3199298)Peak memory usage: 88 MB
% 4.64/1.58 % (3199298)Instructions burned: 47 (million)
% 4.64/1.58 % (3199286)------------------------------
% 4.64/1.58 % (3199286)------------------------------
% 4.64/1.58 % (3199297)Instruction limit reached!
% 4.64/1.58 % (3199297)------------------------------
% 4.64/1.58 % (3199297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.58 % (3199297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.58 % (3199297)CaDiCaL version: 2.1.3
% 4.64/1.58 % (3199297)Termination reason: Instruction limit
% 4.64/1.58 % (3199297)Termination phase: Saturation
% 4.64/1.58 % (3199297)Time elapsed: 0.182 s
% 4.64/1.58 % (3199297)Peak memory usage: 92 MB
% 4.64/1.58 % (3199297)Instructions burned: 286 (million)
% 4.64/1.58 % (3199303)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=2671897377:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.64/1.58 % (3199284)First to succeed.
% 4.64/1.58 % (3199284)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3199278"
% 4.64/1.58 % (3199299)------------------------------
% 4.64/1.58 % (3199299)------------------------------
% 4.64/1.58 % (3199298)------------------------------
% 4.64/1.58 % (3199298)------------------------------
% 4.64/1.58 % (3199304)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3754441443:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.64/1.58 % (3199303)Instruction limit reached!
% 4.64/1.58 % (3199303)------------------------------
% 4.64/1.58 % (3199303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.58 % (3199303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.58 % (3199303)CaDiCaL version: 2.1.3
% 4.64/1.58 % (3199303)Termination reason: Instruction limit
% 4.64/1.58 % (3199303)Termination phase: Saturation
% 4.64/1.58 % (3199303)Time elapsed: 0.141 s
% 4.64/1.58 % (3199303)Peak memory usage: 90 MB
% 4.64/1.58 % (3199303)Instructions burned: 249 (million)
% 4.64/1.58 % (3199284)Refutation found. Thanks to Tanya!
% 4.64/1.58 % SZS status Theorem for theBenchmark
% 4.64/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.71/1.76 % (3199284)------------------------------
% 5.71/1.76 % (3199284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.76 % (3199284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.76 % (3199284)CaDiCaL version: 2.1.3
% 5.71/1.76 % (3199284)Termination reason: Refutation
% 5.71/1.76 % (3199284)Time elapsed: 0.445 s
% 5.71/1.76 % (3199284)Peak memory usage: 131 MB
% 5.71/1.76 % (3199284)Instructions burned: 1150 (million)
% 5.71/1.76 % (3199284)------------------------------
% 5.71/1.76 % (3199284)------------------------------
% 5.71/1.76 % (3199278)Success in time 0.729 s
% 5.71/1.76 % Vampire exiting
%------------------------------------------------------------------------------