%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO599+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 : n011.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 6.71s 1.95s
% Output : Refutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 151 ( 12 unt; 10 def)
% Number of atoms : 468 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 553 ( 236 ~; 216 |; 77 &)
% ( 8 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 9 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 547 ( 0 sgn 515 !; 32 ?)
% 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(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(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/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/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(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
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,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) )
=> ( eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ( eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
& ( eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
| eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
& ( eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
| eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
& ( eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
| eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
& ( eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
| eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
& eqangle(X0,X3,X3,X5,X0,X2,X2,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) )
=> ( eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ( eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
& ( eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
| eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
& ( eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
| eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
& ( eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
| eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
& ( eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
| eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
& eqangle(X0,X3,X3,X5,X0,X2,X2,X6) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,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(f127,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,[],[f126]) ).
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(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
| ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
& ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
& circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
| ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
& ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
& circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) ),
inference(flattening,[],[f249]) ).
fof(f251,definition,
! [X6,X0,X2,X5,X3] :
( ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ sP0(X6,X0,X2,X5,X3) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f252,definition,
! [X2,X6,X0,X5,X3] :
( ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ sP1(X2,X6,X0,X5,X3) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f253,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
| ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
& ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| sP1(X2,X6,X0,X5,X3)
| sP0(X6,X0,X2,X5,X3)
| ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
& circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) ),
inference(definition_folding,[],[f250,f252,f251]) ).
fof(f265,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))],[f234]) ).
fof(f273,plain,
! [X2,X6,X0,X5,X3] :
( ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ sP1(X2,X6,X0,X5,X3) ),
inference(nnf_transformation,[],[f252]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ eqangle(X2,X4,X4,X3,X2,X1,X1,X0)
& ~ eqangle(X4,X2,X2,X3,X2,X1,X1,X0) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f273]) ).
fof(f275,plain,
! [X6,X0,X2,X5,X3] :
( ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ sP0(X6,X0,X2,X5,X3) ),
inference(nnf_transformation,[],[f251]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ eqangle(X1,X4,X4,X3,X2,X1,X1,X0)
& ~ eqangle(X4,X1,X1,X3,X1,X0,X0,X2) )
| ~ sP0(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f275]) ).
fof(f277,plain,
( ( ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28)
| ( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28)
& ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28) )
| ( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24)
& ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28) )
| ( ~ eqangle(sK22,sK25,sK25,sK27,sK24,sK22,sK22,sK28)
& ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28) )
| sP1(sK24,sK28,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28) )
& circle(sK25,sK22,sK23,sK24)
& midp(sK26,sK23,sK22)
& coll(sK27,sK25,sK26)
& circle(sK27,sK22,sK29,sK30)
& coll(sK28,sK23,sK24)
& circle(sK27,sK22,sK28,sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24),skolemize(X3,sK25),skolemize(X4,sK26),skolemize(X5,sK27),skolemize(X6,sK28),skolemize(X7,sK29),skolemize(X8,sK30),skolemize(X9,sK31)],[f253]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f286,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(f294,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(f296,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(f298,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(f299,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,[],[f127]) ).
fof(f316,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(f317,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(f318,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f319,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(f320,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(f321,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(f334,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(f377,plain,
! [X2,X3,X0,X1] :
( perp(sK13(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f265]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X2,X4,X4,X3,X2,X1,X1,X0)
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f274]) ).
fof(f394,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X1,X4,X4,X3,X2,X1,X1,X0)
| ~ sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f276]) ).
fof(f400,plain,
circle(sK25,sK22,sK23,sK24),
inference(cnf_transformation,[],[f277]) ).
fof(f407,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24)
| ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
| sP1(sK24,sK28,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28) ),
inference(cnf_transformation,[],[f277]) ).
fof(f415,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24)
| ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
| sP1(sK24,sK28,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25) ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f418,definition,
( spl32_1
<=> eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f420,plain,
( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28)
| spl32_1 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f422,definition,
( spl32_2
<=> sP0(sK28,sK22,sK24,sK27,sK25) ),
introduced(definition,[new_symbols(definition,[spl32_2])],[avatar_definition]) ).
fof(f424,plain,
( sP0(sK28,sK22,sK24,sK27,sK25)
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f426,definition,
( spl32_3
<=> sP1(sK24,sK28,sK22,sK27,sK25) ),
introduced(definition,[new_symbols(definition,[spl32_3])],[avatar_definition]) ).
fof(f428,plain,
( sP1(sK24,sK28,sK22,sK27,sK25)
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f430,definition,
( spl32_4
<=> eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28) ),
introduced(definition,[new_symbols(definition,[spl32_4])],[avatar_definition]) ).
fof(f432,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
| spl32_4 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f434,definition,
( spl32_5
<=> eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28) ),
introduced(definition,[new_symbols(definition,[spl32_5])],[avatar_definition]) ).
fof(f436,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28)
| spl32_5 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f444,definition,
( spl32_7
<=> eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24) ),
introduced(definition,[new_symbols(definition,[spl32_7])],[avatar_definition]) ).
fof(f446,plain,
( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24)
| spl32_7 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f451,plain,
( spl32_2
| spl32_3
| ~ spl32_4
| ~ spl32_7
| ~ spl32_1
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f415,f434,f418,f444,f430,f426,f422]) ).
fof(f454,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
| ~ para(X4,X5,X8,X9) ),
inference(resolution,[],[f299,f317]) ).
fof(f455,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,X4,X5)
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) ),
inference(resolution,[],[f454,f317]) ).
fof(f456,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,[],[f318,f321]) ).
fof(f459,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,[],[f456]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f296,f317]) ).
fof(f486,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f298,f317]) ).
fof(f501,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f316,f467]) ).
fof(f504,definition,
( spl32_8
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl32_8])],[avatar_definition]) ).
fof(f505,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl32_8 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f507,definition,
( spl32_9
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl32_9])],[avatar_definition]) ).
fof(f508,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl32_9 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f509,plain,
( spl32_8
| spl32_9 ),
inference(avatar_split_clause,[],[f501,f507,f504]) ).
fof(f537,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f320,f486]) ).
fof(f543,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f319,f486]) ).
fof(f547,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,sK13(X0,X2,X3,X1),X0)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f285,f377]) ).
fof(f548,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,[],[f286,f377]) ).
fof(f554,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f547,f548]) ).
fof(f558,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f554]) ).
fof(f559,plain,
( ! [X2,X3,X0,X1] : ~ circle(X0,X1,X2,X3)
| ~ spl32_8 ),
inference(forward_subsumption_resolution,[],[f558,f505]) ).
fof(f560,plain,
( $false
| ~ spl32_8 ),
inference(resolution,[],[f559,f400]) ).
fof(f565,plain,
~ spl32_8,
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f569,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f537,f508]) ).
fof(f573,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0) )
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f543,f508]) ).
fof(f576,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f573,f569]) ).
fof(f582,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl32_9 ),
inference(resolution,[],[f576,f294]) ).
fof(f586,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f582,f576]) ).
fof(f594,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl32_9 ),
inference(resolution,[],[f586,f459]) ).
fof(f595,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f594,f586]) ).
fof(f597,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f595,f586]) ).
fof(f599,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl32_9 ),
inference(resolution,[],[f597,f334]) ).
fof(f600,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f599,f597]) ).
fof(f601,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl32_9 ),
inference(resolution,[],[f600,f286]) ).
fof(f602,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl32_9 ),
inference(resolution,[],[f600,f285]) ).
fof(f605,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f601,f602]) ).
fof(f606,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) )
| ~ spl32_9 ),
inference(resolution,[],[f605,f455]) ).
fof(f607,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f606,f605]) ).
fof(f611,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ spl32_9 ),
inference(resolution,[],[f607,f298]) ).
fof(f632,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X6,X7,X4,X5) )
| ~ spl32_9 ),
inference(resolution,[],[f611,f454]) ).
fof(f640,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f632,f605]) ).
fof(f655,plain,
( ! [X2,X3,X0,X1,X4] : ~ sP0(X0,X1,X2,X3,X4)
| ~ spl32_9 ),
inference(resolution,[],[f640,f394]) ).
fof(f656,plain,
( ! [X2,X3,X0,X1,X4] : ~ sP1(X0,X1,X2,X3,X4)
| ~ spl32_9 ),
inference(resolution,[],[f640,f392]) ).
fof(f657,plain,
( $false
| spl32_1
| ~ spl32_9 ),
inference(resolution,[],[f640,f420]) ).
fof(f658,plain,
( spl32_1
| ~ spl32_9 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f662,plain,
( $false
| spl32_5
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f436,f640]) ).
fof(f663,plain,
( spl32_5
| ~ spl32_9 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f664,plain,
( $false
| spl32_4
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f432,f640]) ).
fof(f665,plain,
( spl32_4
| ~ spl32_9 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f666,plain,
( $false
| spl32_7
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f446,f640]) ).
fof(f667,plain,
( spl32_7
| ~ spl32_9 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f668,plain,
( $false
| ~ spl32_2
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f424,f655]) ).
fof(f669,plain,
( ~ spl32_2
| ~ spl32_9 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f670,plain,
( $false
| ~ spl32_3
| ~ spl32_9 ),
inference(forward_subsumption_resolution,[],[f428,f656]) ).
fof(f671,plain,
( ~ spl32_3
| ~ spl32_9 ),
inference(avatar_contradiction_clause,[],[f670]) ).
cnf(s7,plain,
( ~ spl32_1
| spl32_2
| spl32_3
| ~ spl32_4
| ~ spl32_5
| ~ spl32_7 ),
inference(sat_conversion,[],[f451]) ).
cnf(s9,plain,
( spl32_8
| spl32_9 ),
inference(sat_conversion,[],[f509]) ).
cnf(s12,plain,
~ spl32_8,
inference(sat_conversion,[],[f565]) ).
cnf(s13,plain,
( spl32_1
| ~ spl32_9 ),
inference(sat_conversion,[],[f658]) ).
cnf(s14,plain,
( spl32_5
| ~ spl32_9 ),
inference(sat_conversion,[],[f663]) ).
cnf(s15,plain,
( spl32_4
| ~ spl32_9 ),
inference(sat_conversion,[],[f665]) ).
cnf(s16,plain,
( spl32_7
| ~ spl32_9 ),
inference(sat_conversion,[],[f667]) ).
cnf(s17,plain,
( ~ spl32_2
| ~ spl32_9 ),
inference(sat_conversion,[],[f669]) ).
cnf(s18,plain,
( ~ spl32_3
| ~ spl32_9 ),
inference(sat_conversion,[],[f671]) ).
cnf(s19,plain,
spl32_9,
inference(rat,[],[s9,s12]) ).
cnf(s20,plain,
~ spl32_3,
inference(rat,[],[s18,s19]) ).
cnf(s21,plain,
~ spl32_2,
inference(rat,[],[s17,s19]) ).
cnf(s22,plain,
spl32_7,
inference(rat,[],[s16,s19]) ).
cnf(s23,plain,
spl32_4,
inference(rat,[],[s15,s19]) ).
cnf(s24,plain,
spl32_5,
inference(rat,[],[s14,s19]) ).
cnf(s25,plain,
spl32_1,
inference(rat,[],[s13,s19]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s7,s22,s24,s23,s20,s21,s25]) ).
fof(f672,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO599+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:36:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 6.71/1.95 % (2098834)Detected formulas, will run a generic FOF schedule.
% 6.71/1.95 % (2098843)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3553120384:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.71/1.95 % (2098843)Instruction limit reached!
% 6.71/1.95 % (2098843)------------------------------
% 6.71/1.95 % (2098843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098843)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098843)Termination reason: Instruction limit
% 6.71/1.95 % (2098843)Termination phase: Saturation
% 6.71/1.95 % (2098843)Time elapsed: 0.037 s
% 6.71/1.95 % (2098843)Peak memory usage: 88 MB
% 6.71/1.95 % (2098843)Instructions burned: 131 (million)
% 6.71/1.95 % (2098842)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2684573357:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.71/1.95 % (2098841)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=1910237575:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.71/1.95 % (2098839)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=2278635751:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.71/1.95 % (2098840)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=1085436969:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.71/1.95 % (2098845)dis-21_1_sil=8000:lcm=predicate:random_seed=3374801948:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.71/1.95 % (2098844)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1574121411:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.71/1.95 % (2098842)Refutation not found, incomplete strategy
% 6.71/1.95 % (2098842)------------------------------
% 6.71/1.95 % (2098842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098842)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098842)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.95 % (2098842)Time elapsed: 0.030 s
% 6.71/1.95 % (2098842)Peak memory usage: 88 MB
% 6.71/1.95 % (2098842)Instructions burned: 53 (million)
% 6.71/1.95 % (2098845)Instruction limit reached!
% 6.71/1.95 % (2098845)------------------------------
% 6.71/1.95 % (2098845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098845)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098845)Termination reason: Instruction limit
% 6.71/1.95 % (2098845)Termination phase: Saturation
% 6.71/1.95 % (2098845)Time elapsed: 0.079 s
% 6.71/1.95 % (2098845)Peak memory usage: 89 MB
% 6.71/1.95 % (2098845)Instructions burned: 129 (million)
% 6.71/1.95 % (2098844)Instruction limit reached!
% 6.71/1.95 % (2098844)------------------------------
% 6.71/1.95 % (2098844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098844)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098844)Termination reason: Instruction limit
% 6.71/1.95 % (2098844)Termination phase: Saturation
% 6.71/1.95 % (2098844)Time elapsed: 0.088 s
% 6.71/1.95 % (2098844)Peak memory usage: 90 MB
% 6.71/1.95 % (2098844)Instructions burned: 139 (million)
% 6.71/1.95 % (2098847)lrs+10_1_sil=8000:sp=occurrence:random_seed=2281966598:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.71/1.95 % (2098847)Instruction limit reached!
% 6.71/1.95 % (2098847)------------------------------
% 6.71/1.95 % (2098847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098847)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098847)Termination reason: Instruction limit
% 6.71/1.95 % (2098847)Termination phase: Saturation
% 6.71/1.95 % (2098847)Time elapsed: 0.099 s
% 6.71/1.95 % (2098847)Peak memory usage: 93 MB
% 6.71/1.95 % (2098847)Instructions burned: 285 (million)
% 6.71/1.95 % (2098854)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3592711027:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.71/1.95 % (2098855)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3907578514:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.71/1.95 % (2098842)------------------------------
% 6.71/1.95 % (2098842)------------------------------
% 6.71/1.95 % (2098857)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=1730991427:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.71/1.95 % (2098854)Instruction limit reached!
% 6.71/1.95 % (2098854)------------------------------
% 6.71/1.95 % (2098854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098854)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098854)Termination reason: Instruction limit
% 6.71/1.95 % (2098854)Termination phase: Saturation
% 6.71/1.95 % (2098854)Time elapsed: 0.083 s
% 6.71/1.95 % (2098854)Peak memory usage: 90 MB
% 6.71/1.95 % (2098854)Instructions burned: 158 (million)
% 6.71/1.95 % (2098857)Instruction limit reached!
% 6.71/1.95 % (2098857)------------------------------
% 6.71/1.95 % (2098857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098857)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098857)Termination reason: Instruction limit
% 6.71/1.95 % (2098857)Termination phase: Saturation
% 6.71/1.95 % (2098857)Time elapsed: 0.074 s
% 6.71/1.95 % (2098857)Peak memory usage: 91 MB
% 6.71/1.95 % (2098857)Instructions burned: 252 (million)
% 6.71/1.95 % (2098860)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=914287534:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.71/1.95 % (2098855)Instruction limit reached!
% 6.71/1.95 % (2098855)------------------------------
% 6.71/1.95 % (2098855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098855)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098855)Termination reason: Instruction limit
% 6.71/1.95 % (2098855)Termination phase: Saturation
% 6.71/1.95 % (2098855)Time elapsed: 0.201 s
% 6.71/1.95 % (2098855)Peak memory usage: 91 MB
% 6.71/1.95 % (2098855)Instructions burned: 325 (million)
% 6.71/1.95 % (2098862)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3432599069:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.71/1.95 % (2098863)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=843067217:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.71/1.95 % (2098863)Instruction limit reached!
% 6.71/1.95 % (2098863)------------------------------
% 6.71/1.95 % (2098863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098863)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098863)Termination reason: Instruction limit
% 6.71/1.95 % (2098863)Termination phase: Saturation
% 6.71/1.95 % (2098863)Time elapsed: 0.036 s
% 6.71/1.95 % (2098863)Peak memory usage: 89 MB
% 6.71/1.95 % (2098863)Instructions burned: 115 (million)
% 6.71/1.95 % (2098860)Instruction limit reached!
% 6.71/1.95 % (2098860)------------------------------
% 6.71/1.95 % (2098860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098860)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098860)Termination reason: Instruction limit
% 6.71/1.95 % (2098860)Termination phase: Saturation
% 6.71/1.95 % (2098860)Time elapsed: 0.163 s
% 6.71/1.95 % (2098860)Peak memory usage: 89 MB
% 6.71/1.95 % (2098860)Instructions burned: 294 (million)
% 6.71/1.95 % (2098865)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3406392697:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.71/1.95 % (2098868)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1662897185:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.71/1.95 % (2098839)First to succeed.
% 6.71/1.95 % (2098839)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2098834"
% 6.71/1.95 % (2098865)Instruction limit reached!
% 6.71/1.95 % (2098865)------------------------------
% 6.71/1.95 % (2098865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098865)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098865)Termination reason: Instruction limit
% 6.71/1.95 % (2098865)Termination phase: Saturation
% 6.71/1.95 % (2098865)Time elapsed: 0.070 s
% 6.71/1.95 % (2098865)Peak memory usage: 89 MB
% 6.71/1.95 % (2098865)Instructions burned: 128 (million)
% 6.71/1.95 % (2098868)Instruction limit reached!
% 6.71/1.95 % (2098868)------------------------------
% 6.71/1.95 % (2098868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.95 % (2098868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.95 % (2098868)CaDiCaL version: 2.1.3
% 6.71/1.95 % (2098868)Termination reason: Instruction limit
% 6.71/1.95 % (2098868)Termination phase: Saturation
% 6.71/1.95 % (2098868)Time elapsed: 0.035 s
% 6.71/1.95 % (2098868)Peak memory usage: 89 MB
% 6.71/1.95 % (2098868)Instructions burned: 115 (million)
% 6.71/1.95 % (2098869)lrs+10_1_sil=8000:sp=occurrence:random_seed=624497857:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.71/1.95 % (2098873)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2132318934:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.71/1.95 % (2098872)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1887330634:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.71/1.95 % (2098839)Refutation found. Thanks to Tanya!
% 6.71/1.95 % SZS status Theorem for theBenchmark
% 6.71/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.45/2.14 % (2098839)------------------------------
% 8.45/2.14 % (2098839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.14 % (2098839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.14 % (2098839)CaDiCaL version: 2.1.3
% 8.45/2.14 % (2098839)Termination reason: Refutation
% 8.45/2.14 % (2098839)Time elapsed: 0.674 s
% 8.45/2.14 % (2098839)Peak memory usage: 130 MB
% 8.45/2.14 % (2098839)Instructions burned: 1003 (million)
% 8.45/2.14 % (2098839)------------------------------
% 8.45/2.14 % (2098839)------------------------------
% 8.45/2.14 % (2098834)Success in time 1.108 s
% 8.45/2.14 % Vampire exiting
%------------------------------------------------------------------------------