%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO610+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 : n016.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 09:53:03 AM UTC 2026
% Result : Theorem 4.44s 1.71s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 24
% Syntax : Number of formulae : 145 ( 14 unt; 10 def)
% Number of atoms : 452 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 533 ( 226 ~; 207 |; 77 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 9 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 499 ( 0 sgn 475 !; 24 ?)
% 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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) )
=> ( eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
& ( eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
| eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
& ( eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
| eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
& ( eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
| eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
& ( eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
| eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
& ( eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
| eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
& eqangle(X4,X5,X5,X6,X4,X2,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618072) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) )
=> ( eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
& ( eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
| eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
& ( eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
| eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
& ( eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
| eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
& ( eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
| eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
& ( eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
| eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
& eqangle(X4,X5,X5,X6,X4,X2,X2,X1) ) ),
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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
| ( ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
& ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
| ( ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
& ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f251,definition,
! [X1,X4,X2,X6,X5] :
( ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ sP0(X1,X4,X2,X6,X5) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f252,definition,
! [X2,X1,X4,X6,X5] :
( ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ sP1(X2,X1,X4,X6,X5) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f253,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
| ( ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
& ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| sP1(X2,X1,X4,X6,X5)
| sP0(X1,X4,X2,X6,X5)
| ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) ),
inference(definition_folding,[],[f250,f252,f251]) ).
fof(f273,plain,
! [X2,X1,X4,X6,X5] :
( ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ sP1(X2,X1,X4,X6,X5) ),
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,
! [X1,X4,X2,X6,X5] :
( ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ sP0(X1,X4,X2,X6,X5) ),
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(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ( ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
& ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23) )
| ( ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK23,sK23,sK24)
& ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) )
| ( ~ eqangle(sK26,sK27,sK27,sK28,sK24,sK26,sK26,sK23)
& ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) )
| sP1(sK24,sK23,sK26,sK28,sK27)
| sP0(sK23,sK26,sK24,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23) )
& circle(sK25,sK22,sK23,sK24)
& circle(sK25,sK22,sK26,sK29)
& perp(sK27,sK26,sK22,sK24)
& coll(sK27,sK22,sK24)
& perp(sK28,sK26,sK22,sK23)
& coll(sK28,sK22,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24),skolemize(X3,sK25),skolemize(X4,sK26),skolemize(X5,sK27),skolemize(X6,sK28),skolemize(X7,sK29)],[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(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(f396,plain,
perp(sK28,sK26,sK22,sK23),
inference(cnf_transformation,[],[f277]) ).
fof(f407,plain,
( ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK23,sK23,sK24)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
| sP1(sK24,sK23,sK26,sK28,sK27)
| sP0(sK23,sK26,sK24,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23) ),
inference(cnf_transformation,[],[f277]) ).
fof(f415,plain,
( ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK23,sK23,sK24)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
| sP1(sK24,sK23,sK26,sK28,sK27)
| sP0(sK23,sK26,sK24,sK28,sK27) ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f418,definition,
( spl30_1
<=> eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f420,plain,
( ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
| spl30_1 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f422,definition,
( spl30_2
<=> sP0(sK23,sK26,sK24,sK28,sK27) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f424,plain,
( sP0(sK23,sK26,sK24,sK28,sK27)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f426,definition,
( spl30_3
<=> sP1(sK24,sK23,sK26,sK28,sK27) ),
introduced(definition,[new_symbols(definition,[spl30_3])],[avatar_definition]) ).
fof(f428,plain,
( sP1(sK24,sK23,sK26,sK28,sK27)
| ~ spl30_3 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f430,definition,
( spl30_4
<=> eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) ),
introduced(definition,[new_symbols(definition,[spl30_4])],[avatar_definition]) ).
fof(f432,plain,
( ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
| spl30_4 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f434,definition,
( spl30_5
<=> eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23) ),
introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).
fof(f436,plain,
( ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| spl30_5 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f444,definition,
( spl30_7
<=> eqangle(sK26,sK27,sK27,sK28,sK26,sK23,sK23,sK24) ),
introduced(definition,[new_symbols(definition,[spl30_7])],[avatar_definition]) ).
fof(f446,plain,
( ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK23,sK23,sK24)
| spl30_7 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f451,plain,
( spl30_2
| spl30_3
| ~ spl30_4
| ~ spl30_7
| ~ spl30_1
| ~ spl30_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,
( spl30_8
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl30_8])],[avatar_definition]) ).
fof(f505,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl30_8 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f507,definition,
( spl30_9
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl30_9])],[avatar_definition]) ).
fof(f508,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl30_9 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f509,plain,
( spl30_8
| spl30_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,[],[f319,f486]) ).
fof(f543,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f320,f486]) ).
fof(f548,plain,
perp(sK22,sK23,sK28,sK26),
inference(resolution,[],[f285,f396]) ).
fof(f554,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK28,sK26)
| para(X0,X1,sK22,sK23) ),
inference(resolution,[],[f286,f396]) ).
fof(f558,plain,
para(sK22,sK23,sK22,sK23),
inference(resolution,[],[f554,f548]) ).
fof(f559,plain,
( $false
| ~ spl30_8 ),
inference(forward_subsumption_resolution,[],[f558,f505]) ).
fof(f560,plain,
~ spl30_8,
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f564,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0) )
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f537,f508]) ).
fof(f568,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f543,f508]) ).
fof(f571,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f568,f564]) ).
fof(f574,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl30_9 ),
inference(resolution,[],[f571,f294]) ).
fof(f578,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f574,f571]) ).
fof(f583,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl30_9 ),
inference(resolution,[],[f578,f459]) ).
fof(f584,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f583,f578]) ).
fof(f586,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f584,f578]) ).
fof(f588,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl30_9 ),
inference(resolution,[],[f586,f334]) ).
fof(f589,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f588,f586]) ).
fof(f590,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl30_9 ),
inference(resolution,[],[f589,f286]) ).
fof(f591,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl30_9 ),
inference(resolution,[],[f589,f285]) ).
fof(f594,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f590,f591]) ).
fof(f595,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) )
| ~ spl30_9 ),
inference(resolution,[],[f594,f455]) ).
fof(f596,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f595,f594]) ).
fof(f600,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ spl30_9 ),
inference(resolution,[],[f596,f298]) ).
fof(f621,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X6,X7,X4,X5) )
| ~ spl30_9 ),
inference(resolution,[],[f600,f454]) ).
fof(f629,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f621,f594]) ).
fof(f644,plain,
( ! [X2,X3,X0,X1,X4] : ~ sP0(X0,X1,X2,X3,X4)
| ~ spl30_9 ),
inference(resolution,[],[f629,f394]) ).
fof(f645,plain,
( ! [X2,X3,X0,X1,X4] : ~ sP1(X0,X1,X2,X3,X4)
| ~ spl30_9 ),
inference(resolution,[],[f629,f392]) ).
fof(f646,plain,
( $false
| spl30_1
| ~ spl30_9 ),
inference(resolution,[],[f629,f420]) ).
fof(f647,plain,
( spl30_1
| ~ spl30_9 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f651,plain,
( $false
| spl30_5
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f436,f629]) ).
fof(f652,plain,
( spl30_5
| ~ spl30_9 ),
inference(avatar_contradiction_clause,[],[f651]) ).
fof(f653,plain,
( $false
| spl30_4
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f432,f629]) ).
fof(f654,plain,
( spl30_4
| ~ spl30_9 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f655,plain,
( $false
| spl30_7
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f446,f629]) ).
fof(f656,plain,
( spl30_7
| ~ spl30_9 ),
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f657,plain,
( $false
| ~ spl30_2
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f424,f644]) ).
fof(f658,plain,
( ~ spl30_2
| ~ spl30_9 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f659,plain,
( $false
| ~ spl30_3
| ~ spl30_9 ),
inference(forward_subsumption_resolution,[],[f428,f645]) ).
fof(f660,plain,
( ~ spl30_3
| ~ spl30_9 ),
inference(avatar_contradiction_clause,[],[f659]) ).
cnf(s7,plain,
( ~ spl30_1
| spl30_2
| spl30_3
| ~ spl30_4
| ~ spl30_5
| ~ spl30_7 ),
inference(sat_conversion,[],[f451]) ).
cnf(s9,plain,
( spl30_8
| spl30_9 ),
inference(sat_conversion,[],[f509]) ).
cnf(s10,plain,
~ spl30_8,
inference(sat_conversion,[],[f560]) ).
cnf(s11,plain,
( spl30_1
| ~ spl30_9 ),
inference(sat_conversion,[],[f647]) ).
cnf(s12,plain,
( spl30_5
| ~ spl30_9 ),
inference(sat_conversion,[],[f652]) ).
cnf(s13,plain,
( spl30_4
| ~ spl30_9 ),
inference(sat_conversion,[],[f654]) ).
cnf(s14,plain,
( spl30_7
| ~ spl30_9 ),
inference(sat_conversion,[],[f656]) ).
cnf(s15,plain,
( ~ spl30_2
| ~ spl30_9 ),
inference(sat_conversion,[],[f658]) ).
cnf(s16,plain,
( ~ spl30_3
| ~ spl30_9 ),
inference(sat_conversion,[],[f660]) ).
cnf(s17,plain,
spl30_9,
inference(rat,[],[s9,s10]) ).
cnf(s18,plain,
~ spl30_3,
inference(rat,[],[s16,s17]) ).
cnf(s19,plain,
~ spl30_2,
inference(rat,[],[s15,s17]) ).
cnf(s20,plain,
spl30_7,
inference(rat,[],[s14,s17]) ).
cnf(s21,plain,
spl30_4,
inference(rat,[],[s13,s17]) ).
cnf(s22,plain,
spl30_5,
inference(rat,[],[s12,s17]) ).
cnf(s23,plain,
spl30_1,
inference(rat,[],[s11,s17]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s7,s20,s22,s21,s18,s19,s23]) ).
fof(f661,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO610+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n016.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 08:42:46 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 4.44/1.71 % (2326303)Detected formulas, will run a generic FOF schedule.
% 4.44/1.71 % (2326313)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4039920449:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.44/1.71 % (2326314)dis-21_1_sil=8000:lcm=predicate:random_seed=972328608: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)
% 4.44/1.71 % (2326311)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2716906174:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.44/1.71 % (2326312)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4017297460:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.44/1.71 % (2326308)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=1672007087:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.44/1.71 % (2326309)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=715752485:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.44/1.71 % (2326310)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=3194184013:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.44/1.71 % (2326311)Refutation not found, incomplete strategy
% 4.44/1.71 % (2326311)------------------------------
% 4.44/1.71 % (2326311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326311)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326311)Termination reason: Refutation not found, incomplete strategy
% 4.44/1.71 % (2326311)Time elapsed: 0.013 s
% 4.44/1.71 % (2326311)Peak memory usage: 88 MB
% 4.44/1.71 % (2326311)Instructions burned: 22 (million)
% 4.44/1.71 % (2326313)Instruction limit reached!
% 4.44/1.71 % (2326313)------------------------------
% 4.44/1.71 % (2326313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326313)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326313)Termination reason: Instruction limit
% 4.44/1.71 % (2326313)Termination phase: Saturation
% 4.44/1.71 % (2326313)Time elapsed: 0.048 s
% 4.44/1.71 % (2326313)Peak memory usage: 90 MB
% 4.44/1.71 % (2326313)Instructions burned: 142 (million)
% 4.44/1.71 % (2326312)Instruction limit reached!
% 4.44/1.71 % (2326312)------------------------------
% 4.44/1.71 % (2326312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326312)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326312)Termination reason: Instruction limit
% 4.44/1.71 % (2326312)Termination phase: Saturation
% 4.44/1.71 % (2326312)Time elapsed: 0.066 s
% 4.44/1.71 % (2326312)Peak memory usage: 88 MB
% 4.44/1.71 % (2326312)Instructions burned: 120 (million)
% 4.44/1.71 % (2326314)Instruction limit reached!
% 4.44/1.71 % (2326314)------------------------------
% 4.44/1.71 % (2326314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326314)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326314)Termination reason: Instruction limit
% 4.44/1.71 % (2326314)Termination phase: Saturation
% 4.44/1.71 % (2326314)Time elapsed: 0.078 s
% 4.44/1.71 % (2326314)Peak memory usage: 89 MB
% 4.44/1.71 % (2326314)Instructions burned: 130 (million)
% 4.44/1.71 % (2326322)lrs+10_1_sil=8000:sp=occurrence:random_seed=4194732502:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.44/1.71 % (2326323)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2031210641:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.44/1.71 % (2326324)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3807411471:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.44/1.71 % (2326311)------------------------------
% 4.44/1.71 % (2326311)------------------------------
% 4.44/1.71 % (2326322)Instruction limit reached!
% 4.44/1.71 % (2326322)------------------------------
% 4.44/1.71 % (2326322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326322)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326322)Termination reason: Instruction limit
% 4.44/1.71 % (2326322)Termination phase: Saturation
% 4.44/1.71 % (2326322)Time elapsed: 0.099 s
% 4.44/1.71 % (2326322)Peak memory usage: 92 MB
% 4.44/1.71 % (2326322)Instructions burned: 285 (million)
% 4.44/1.71 % (2326323)Instruction limit reached!
% 4.44/1.71 % (2326323)------------------------------
% 4.44/1.71 % (2326323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326323)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326323)Termination reason: Instruction limit
% 4.44/1.71 % (2326323)Termination phase: Saturation
% 4.44/1.71 % (2326323)Time elapsed: 0.083 s
% 4.44/1.71 % (2326323)Peak memory usage: 90 MB
% 4.44/1.71 % (2326323)Instructions burned: 157 (million)
% 4.44/1.71 % (2326328)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=2405151056:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.44/1.71 % (2326329)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2829061347:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.44/1.71 % (2326328)Instruction limit reached!
% 4.44/1.71 % (2326328)------------------------------
% 4.44/1.71 % (2326328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326328)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326328)Termination reason: Instruction limit
% 4.44/1.71 % (2326328)Termination phase: Saturation
% 4.44/1.71 % (2326328)Time elapsed: 0.077 s
% 4.44/1.71 % (2326328)Peak memory usage: 91 MB
% 4.44/1.71 % (2326328)Instructions burned: 249 (million)
% 4.44/1.71 % (2326324)Instruction limit reached!
% 4.44/1.71 % (2326324)------------------------------
% 4.44/1.71 % (2326324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326324)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326324)Termination reason: Instruction limit
% 4.44/1.71 % (2326324)Termination phase: Saturation
% 4.44/1.71 % (2326324)Time elapsed: 0.221 s
% 4.44/1.71 % (2326324)Peak memory usage: 92 MB
% 4.44/1.71 % (2326324)Instructions burned: 325 (million)
% 4.44/1.71 % (2326330)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1076141210:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.44/1.71 % (2326333)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4065916153:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.44/1.71 % (2326329)Instruction limit reached!
% 4.44/1.71 % (2326329)------------------------------
% 4.44/1.71 % (2326329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326329)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326329)Termination reason: Instruction limit
% 4.44/1.71 % (2326329)Termination phase: Saturation
% 4.44/1.71 % (2326329)Time elapsed: 0.167 s
% 4.44/1.71 % (2326329)Peak memory usage: 89 MB
% 4.44/1.71 % (2326329)Instructions burned: 296 (million)
% 4.44/1.71 % (2326333)Instruction limit reached!
% 4.44/1.71 % (2326333)------------------------------
% 4.44/1.71 % (2326333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326333)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326333)Termination reason: Instruction limit
% 4.44/1.71 % (2326333)Termination phase: Saturation
% 4.44/1.71 % (2326333)Time elapsed: 0.036 s
% 4.44/1.71 % (2326333)Peak memory usage: 89 MB
% 4.44/1.71 % (2326333)Instructions burned: 116 (million)
% 4.44/1.71 % (2326335)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3165776377:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 4.44/1.71 % (2326308)First to succeed.
% 4.44/1.71 % (2326308)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2326303"
% 4.44/1.71 % (2326335)Instruction limit reached!
% 4.44/1.71 % (2326335)------------------------------
% 4.44/1.71 % (2326335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326335)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326335)Termination reason: Instruction limit
% 4.44/1.71 % (2326335)Termination phase: Saturation
% 4.44/1.71 % (2326335)Time elapsed: 0.069 s
% 4.44/1.71 % (2326335)Peak memory usage: 89 MB
% 4.44/1.71 % (2326335)Instructions burned: 128 (million)
% 4.44/1.71 % (2326339)lrs+10_1_sil=8000:sp=occurrence:random_seed=947520876:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 4.44/1.71 % (2326337)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1912609513:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 4.44/1.71 % (2326309)Also succeeded, but the first one will report.
% 4.44/1.71 % (2326337)Instruction limit reached!
% 4.44/1.71 % (2326337)------------------------------
% 4.44/1.71 % (2326337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.71 % (2326337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.71 % (2326337)CaDiCaL version: 2.1.3
% 4.44/1.71 % (2326337)Termination reason: Instruction limit
% 4.44/1.71 % (2326337)Termination phase: Saturation
% 4.44/1.71 % (2326337)Time elapsed: 0.062 s
% 4.44/1.71 % (2326337)Peak memory usage: 89 MB
% 4.44/1.71 % (2326337)Instructions burned: 116 (million)
% 4.44/1.71 % (2326340)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1263259643:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 4.44/1.71 % (2326308)Refutation found. Thanks to Tanya!
% 4.44/1.71 % SZS status Theorem for theBenchmark
% 4.44/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.90 % (2326308)------------------------------
% 0.16/1.90 % (2326308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.90 % (2326308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.90 % (2326308)CaDiCaL version: 2.1.3
% 0.16/1.90 % (2326308)Termination reason: Refutation
% 0.16/1.90 % (2326308)Time elapsed: 0.671 s
% 0.16/1.90 % (2326308)Peak memory usage: 130 MB
% 0.16/1.90 % (2326308)Instructions burned: 1000 (million)
% 0.16/1.90 % (2326308)------------------------------
% 0.16/1.90 % (2326308)------------------------------
% 0.16/1.90 % (2326303)Success in time 1.09 s
% 0.16/1.90 % Vampire exiting
%------------------------------------------------------------------------------