%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO572+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 : n012.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 09:52:58 AM UTC 2026
% Result : Theorem 4.21s 1.15s
% Output : Refutation 4.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 10 unt; 2 def)
% Number of atoms : 234 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 249 ( 101 ~; 96 |; 36 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 335 ( 0 sgn 321 !; 14 ?)
% 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(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] :
( ( perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& perp(X2,X3,X3,X5)
& circle(X4,X3,X1,X2)
& circle(X4,X1,X5,X6) )
=> para(X0,X3,X1,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214034) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& perp(X2,X3,X3,X5)
& circle(X4,X3,X1,X2)
& circle(X4,X1,X5,X6) )
=> para(X0,X3,X1,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X0,X3,X1,X5)
& perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& perp(X2,X3,X3,X5)
& circle(X4,X3,X1,X2)
& circle(X4,X1,X5,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X0,X3,X1,X5)
& perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& perp(X2,X3,X3,X5)
& circle(X4,X3,X1,X2)
& circle(X4,X1,X5,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK20,sK23,sK21,sK25)
& perp(sK20,sK21,sK22,sK23)
& perp(sK20,sK22,sK21,sK23)
& perp(sK21,sK22,sK20,sK23)
& perp(sK22,sK23,sK23,sK25)
& circle(sK24,sK23,sK21,sK22)
& circle(sK24,sK21,sK25,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[f250]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f386,plain,
perp(sK22,sK23,sK23,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ para(sK20,sK23,sK21,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f311,f314]) ).
fof(f392,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,[],[f391]) ).
fof(f396,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK23)
| para(X0,X1,sK23,sK25) ),
inference(resolution,[],[f386,f279]) ).
fof(f411,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f411,f309]) ).
fof(f418,definition,
( spl27_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f419,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,definition,
( spl27_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f422,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f414,f421,f418]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f440,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f437,f312]) ).
fof(f451,plain,
perp(sK23,sK25,sK22,sK23),
inference(resolution,[],[f278,f386]) ).
fof(f460,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f437]) ).
fof(f465,plain,
para(sK23,sK25,sK23,sK25),
inference(resolution,[],[f451,f396]) ).
fof(f469,plain,
( $false
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f465,f422]) ).
fof(f470,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f471,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f440,f419]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f460,f419]) ).
fof(f476,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f473,f471]) ).
fof(f482,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f476,f287]) ).
fof(f486,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f482,f476]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(resolution,[],[f486,f392]) ).
fof(f496,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f492,f486]) ).
fof(f498,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f496,f486]) ).
fof(f499,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl27_1 ),
inference(resolution,[],[f498,f327]) ).
fof(f500,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f499,f498]) ).
fof(f501,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl27_1 ),
inference(resolution,[],[f500,f278]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f500,f279]) ).
fof(f515,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(resolution,[],[f501,f503]) ).
fof(f516,plain,
( $false
| ~ spl27_1 ),
inference(resolution,[],[f515,f390]) ).
fof(f518,plain,
~ spl27_1,
inference(avatar_contradiction_clause,[],[f516]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f423]) ).
cnf(s2,plain,
~ spl27_2,
inference(sat_conversion,[],[f470]) ).
cnf(s3,plain,
~ spl27_1,
inference(sat_conversion,[],[f518]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f519,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO572+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 08:32:34 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.33 Running first-order theorem proving
% 0.06/0.33 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
% 4.21/1.15 % (2065064)Detected formulas, will run a generic FOF schedule.
% 4.21/1.15 % (2065072)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=503943658:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.21/1.15 % (2065073)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1641061287:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.21/1.15 % (2065069)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=1507015791:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.21/1.15 % (2065071)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=2514970443:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.21/1.15 % (2065070)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=3318347233:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.21/1.15 % (2065074)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=653174069:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.21/1.15 % (2065075)dis-21_1_sil=8000:lcm=predicate:random_seed=3316536760: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)
% 4.21/1.15 % (2065072)Instruction limit reached!
% 4.21/1.15 % (2065072)------------------------------
% 4.21/1.15 % (2065072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065072)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065072)Termination reason: Instruction limit
% 4.21/1.15 % (2065072)Termination phase: Saturation
% 4.21/1.15 % (2065072)Time elapsed: 0.037 s
% 4.21/1.15 % (2065072)Peak memory usage: 89 MB
% 4.21/1.15 % (2065072)Instructions burned: 111 (million)
% 4.21/1.15 % (2065073)Instruction limit reached!
% 4.21/1.15 % (2065073)------------------------------
% 4.21/1.15 % (2065073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065073)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065073)Termination reason: Instruction limit
% 4.21/1.15 % (2065073)Termination phase: Saturation
% 4.21/1.15 % (2065073)Time elapsed: 0.038 s
% 4.21/1.15 % (2065073)Peak memory usage: 88 MB
% 4.21/1.15 % (2065073)Instructions burned: 122 (million)
% 4.21/1.15 % (2065075)Instruction limit reached!
% 4.21/1.15 % (2065075)------------------------------
% 4.21/1.15 % (2065075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065075)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065075)Termination reason: Instruction limit
% 4.21/1.15 % (2065075)Termination phase: Saturation
% 4.21/1.15 % (2065075)Time elapsed: 0.038 s
% 4.21/1.15 % (2065075)Peak memory usage: 89 MB
% 4.21/1.15 % (2065075)Instructions burned: 131 (million)
% 4.21/1.15 % (2065074)Instruction limit reached!
% 4.21/1.15 % (2065074)------------------------------
% 4.21/1.15 % (2065074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065074)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065074)Termination reason: Instruction limit
% 4.21/1.15 % (2065074)Termination phase: Saturation
% 4.21/1.15 % (2065074)Time elapsed: 0.051 s
% 4.21/1.15 % (2065074)Peak memory usage: 90 MB
% 4.21/1.15 % (2065074)Instructions burned: 139 (million)
% 4.21/1.15 % (2065084)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2097765021:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.21/1.15 % (2065083)lrs+10_1_sil=8000:sp=occurrence:random_seed=2258464335:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.21/1.15 % (2065085)lrs+1011_1_sil=32000:sp=occurrence:random_seed=936428744:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.21/1.15 % (2065086)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=4228139810:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.21/1.15 % (2065084)Instruction limit reached!
% 4.21/1.15 % (2065084)------------------------------
% 4.21/1.15 % (2065084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065084)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065084)Termination reason: Instruction limit
% 4.21/1.15 % (2065084)Termination phase: Saturation
% 4.21/1.15 % (2065084)Time elapsed: 0.046 s
% 4.21/1.15 % (2065084)Peak memory usage: 90 MB
% 4.21/1.15 % (2065084)Instructions burned: 158 (million)
% 4.21/1.15 % (2065086)Instruction limit reached!
% 4.21/1.15 % (2065086)------------------------------
% 4.21/1.15 % (2065086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065086)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065086)Termination reason: Instruction limit
% 4.21/1.15 % (2065086)Termination phase: Saturation
% 4.21/1.15 % (2065086)Time elapsed: 0.077 s
% 4.21/1.15 % (2065086)Peak memory usage: 91 MB
% 4.21/1.15 % (2065086)Instructions burned: 249 (million)
% 4.21/1.15 % (2065083)Instruction limit reached!
% 4.21/1.15 % (2065083)------------------------------
% 4.21/1.15 % (2065083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065083)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065083)Termination reason: Instruction limit
% 4.21/1.15 % (2065083)Termination phase: Saturation
% 4.21/1.15 % (2065083)Time elapsed: 0.100 s
% 4.21/1.15 % (2065083)Peak memory usage: 92 MB
% 4.21/1.15 % (2065083)Instructions burned: 286 (million)
% 4.21/1.15 % (2065085)Instruction limit reached!
% 4.21/1.15 % (2065085)------------------------------
% 4.21/1.15 % (2065085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065085)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065085)Termination reason: Instruction limit
% 4.21/1.15 % (2065085)Termination phase: Saturation
% 4.21/1.15 % (2065085)Time elapsed: 0.107 s
% 4.21/1.15 % (2065085)Peak memory usage: 91 MB
% 4.21/1.15 % (2065085)Instructions burned: 327 (million)
% 4.21/1.15 % (2065091)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2353484029:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 4.21/1.15 % (2065092)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3281276321:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.21/1.15 % (2065093)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3437592265:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.21/1.15 % (2065094)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1106928240:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 4.21/1.15 % (2065091)Instruction limit reached!
% 4.21/1.15 % (2065091)------------------------------
% 4.21/1.15 % (2065091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065091)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065091)Termination reason: Instruction limit
% 4.21/1.15 % (2065091)Termination phase: Saturation
% 4.21/1.15 % (2065091)Time elapsed: 0.092 s
% 4.21/1.15 % (2065091)Peak memory usage: 89 MB
% 4.21/1.15 % (2065091)Instructions burned: 297 (million)
% 4.21/1.15 % (2065093)Instruction limit reached!
% 4.21/1.15 % (2065093)------------------------------
% 4.21/1.15 % (2065093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065093)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065093)Termination reason: Instruction limit
% 4.21/1.15 % (2065093)Termination phase: Saturation
% 4.21/1.15 % (2065093)Time elapsed: 0.035 s
% 4.21/1.15 % (2065093)Peak memory usage: 90 MB
% 4.21/1.15 % (2065093)Instructions burned: 114 (million)
% 4.21/1.15 % (2065069)First to succeed.
% 4.21/1.15 % (2065069)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2065064"
% 4.21/1.15 % (2065094)Instruction limit reached!
% 4.21/1.15 % (2065094)------------------------------
% 4.21/1.15 % (2065094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065094)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065094)Termination reason: Instruction limit
% 4.21/1.15 % (2065094)Termination phase: Saturation
% 4.21/1.15 % (2065094)Time elapsed: 0.037 s
% 4.21/1.15 % (2065094)Peak memory usage: 89 MB
% 4.21/1.15 % (2065094)Instructions burned: 128 (million)
% 4.21/1.15 % (2065070)Also succeeded, but the first one will report.
% 4.21/1.15 % (2065099)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1711885709:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 4.21/1.15 % (2065100)lrs+10_1_sil=8000:sp=occurrence:random_seed=3568208284:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 4.21/1.15 % (2065101)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1395671233:i=437:sd=1:aac=none:ss=included_2995 on theBenchmark for (2995ds/437Mi)
% 4.21/1.15 % (2065099)Instruction limit reached!
% 4.21/1.15 % (2065099)------------------------------
% 4.21/1.15 % (2065099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.15 % (2065099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.15 % (2065099)CaDiCaL version: 2.1.3
% 4.21/1.15 % (2065099)Termination reason: Instruction limit
% 4.21/1.15 % (2065099)Termination phase: Saturation
% 4.21/1.15 % (2065099)Time elapsed: 0.036 s
% 4.21/1.15 % (2065099)Peak memory usage: 89 MB
% 4.21/1.15 % (2065099)Instructions burned: 114 (million)
% 4.21/1.15 % (2065069)Refutation found. Thanks to Tanya!
% 4.21/1.15 % SZS status Theorem for theBenchmark
% 4.21/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 4.57/1.24 % (2065069)------------------------------
% 4.57/1.24 % (2065069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.24 % (2065069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.24 % (2065069)CaDiCaL version: 2.1.3
% 4.57/1.24 % (2065069)Termination reason: Refutation
% 4.57/1.24 % (2065069)Time elapsed: 0.369 s
% 4.57/1.24 % (2065069)Peak memory usage: 131 MB
% 4.57/1.24 % (2065069)Instructions burned: 983 (million)
% 4.57/1.24 % (2065069)------------------------------
% 4.57/1.24 % (2065069)------------------------------
% 4.57/1.24 % (2065064)Success in time 0.629 s
% 4.57/1.24 % Vampire exiting
%------------------------------------------------------------------------------