%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO607+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 09:53:03 AM UTC 2026
% Result : Theorem 4.43s 1.22s
% Output : Refutation 5.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 10 unt; 2 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 259 ( 110 ~; 105 |; 27 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 364 ( 0 sgn 352 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X2,X1,X0)
& perp(X3,X0,X3,X1)
& circle(X4,X0,X2,X3)
& circle(X5,X1,X3,X2) )
=> perp(X4,X3,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( midp(X2,X1,X0)
& perp(X3,X0,X3,X1)
& circle(X4,X0,X2,X3)
& circle(X5,X1,X3,X2) )
=> perp(X4,X3,X3,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(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f110]) ).
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] :
( ~ perp(X4,X3,X3,X5)
& midp(X2,X1,X0)
& perp(X3,X0,X3,X1)
& circle(X4,X0,X2,X3)
& circle(X5,X1,X3,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X4,X3,X3,X5)
& midp(X2,X1,X0)
& perp(X3,X0,X3,X1)
& circle(X4,X0,X2,X3)
& circle(X5,X1,X3,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK24,sK23,sK23,sK25)
& midp(sK22,sK21,sK20)
& perp(sK23,sK20,sK23,sK21)
& circle(sK24,sK20,sK22,sK23)
& circle(sK25,sK21,sK23,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[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(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
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(sK23,sK20,sK23,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
~ perp(sK24,sK23,sK23,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f389,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(f390,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,[],[f389]) ).
fof(f396,plain,
perp(sK23,sK21,sK23,sK20),
inference(resolution,[],[f278,f386]) ).
fof(f416,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(f419,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f416,f309]) ).
fof(f423,definition,
( spl26_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f424,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f426,definition,
( spl26_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f427,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f428,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f419,f426,f423]) ).
fof(f442,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(f445,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f442,f312]) ).
fof(f452,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK23,sK20)
| para(X0,X1,sK23,sK21) ),
inference(resolution,[],[f279,f386]) ).
fof(f456,plain,
para(sK23,sK21,sK23,sK21),
inference(resolution,[],[f452,f396]) ).
fof(f458,plain,
( $false
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f456,f427]) ).
fof(f459,plain,
~ spl26_2,
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f460,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f445,f424]) ).
fof(f475,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f442]) ).
fof(f478,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f475,f460]) ).
fof(f481,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f478,f424]) ).
fof(f486,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl26_1 ),
inference(resolution,[],[f481,f287]) ).
fof(f490,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f486,f481]) ).
fof(f496,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl26_1 ),
inference(resolution,[],[f490,f390]) ).
fof(f500,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f496,f490]) ).
fof(f502,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f500,f490]) ).
fof(f503,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl26_1 ),
inference(resolution,[],[f502,f327]) ).
fof(f504,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f503,f502]) ).
fof(f505,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl26_1 ),
inference(resolution,[],[f504,f279]) ).
fof(f506,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl26_1 ),
inference(resolution,[],[f504,f278]) ).
fof(f508,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl26_1 ),
inference(resolution,[],[f504,f280]) ).
fof(f511,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f505,f506]) ).
fof(f519,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl26_1 ),
inference(resolution,[],[f508,f511]) ).
fof(f520,plain,
( $false
| ~ spl26_1 ),
inference(resolution,[],[f519,f388]) ).
fof(f527,plain,
~ spl26_1,
inference(avatar_contradiction_clause,[],[f520]) ).
cnf(s1,plain,
( spl26_1
| spl26_2 ),
inference(sat_conversion,[],[f428]) ).
cnf(s2,plain,
~ spl26_2,
inference(sat_conversion,[],[f459]) ).
cnf(s3,plain,
~ spl26_1,
inference(sat_conversion,[],[f527]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f528,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO607+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Sun Sep 27 08:37:20 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.43/1.22 % (2065916)Detected formulas, will run a generic FOF schedule.
% 4.43/1.22 % (2065925)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1932141730:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.43/1.22 % (2065921)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=680892137:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.43/1.22 % (2065923)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=3405710681:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.43/1.22 % (2065927)dis-21_1_sil=8000:lcm=predicate:random_seed=1129385858: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)
% 4.43/1.22 % (2065926)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2033848543:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.43/1.22 % (2065924)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1077460456:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.43/1.22 % (2065922)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=3988330399:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.43/1.22 % (2065924)Refutation not found, incomplete strategy
% 4.43/1.22 % (2065924)------------------------------
% 4.43/1.22 % (2065924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065924)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065924)Termination reason: Refutation not found, incomplete strategy
% 4.43/1.22 % (2065924)Time elapsed: 0.003 s
% 4.43/1.22 % (2065924)Peak memory usage: 88 MB
% 4.43/1.22 % (2065924)Instructions burned: 6 (million)
% 4.43/1.22 % (2065925)Instruction limit reached!
% 4.43/1.22 % (2065925)------------------------------
% 4.43/1.22 % (2065925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065925)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065925)Termination reason: Instruction limit
% 4.43/1.22 % (2065925)Termination phase: Saturation
% 4.43/1.22 % (2065925)Time elapsed: 0.038 s
% 4.43/1.22 % (2065925)Peak memory usage: 88 MB
% 4.43/1.22 % (2065925)Instructions burned: 121 (million)
% 4.43/1.22 % (2065927)Instruction limit reached!
% 4.43/1.22 % (2065927)------------------------------
% 4.43/1.22 % (2065927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065927)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065927)Termination reason: Instruction limit
% 4.43/1.22 % (2065927)Termination phase: Saturation
% 4.43/1.22 % (2065927)Time elapsed: 0.041 s
% 4.43/1.22 % (2065927)Peak memory usage: 89 MB
% 4.43/1.22 % (2065927)Instructions burned: 132 (million)
% 4.43/1.22 % (2065926)Instruction limit reached!
% 4.43/1.22 % (2065926)------------------------------
% 4.43/1.22 % (2065926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065926)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065926)Termination reason: Instruction limit
% 4.43/1.22 % (2065926)Termination phase: Saturation
% 4.43/1.22 % (2065926)Time elapsed: 0.051 s
% 4.43/1.22 % (2065926)Peak memory usage: 89 MB
% 4.43/1.22 % (2065926)Instructions burned: 141 (million)
% 4.43/1.22 % (2065935)lrs+10_1_sil=8000:sp=occurrence:random_seed=3651796582:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.43/1.22 % (2065936)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3634597988:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.43/1.22 % (2065924)------------------------------
% 4.43/1.22 % (2065924)------------------------------
% 4.43/1.22 % (2065937)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1966910856:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.43/1.22 % (2065936)Instruction limit reached!
% 4.43/1.22 % (2065936)------------------------------
% 4.43/1.22 % (2065936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065936)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065936)Termination reason: Instruction limit
% 4.43/1.22 % (2065936)Termination phase: Saturation
% 4.43/1.22 % (2065936)Time elapsed: 0.044 s
% 4.43/1.22 % (2065936)Peak memory usage: 90 MB
% 4.43/1.22 % (2065936)Instructions burned: 159 (million)
% 4.43/1.22 % (2065935)Instruction limit reached!
% 4.43/1.22 % (2065935)------------------------------
% 4.43/1.22 % (2065935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065935)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065935)Termination reason: Instruction limit
% 4.43/1.22 % (2065935)Termination phase: Saturation
% 4.43/1.22 % (2065935)Time elapsed: 0.100 s
% 4.43/1.22 % (2065935)Peak memory usage: 92 MB
% 4.43/1.22 % (2065935)Instructions burned: 287 (million)
% 4.43/1.22 % (2065937)Instruction limit reached!
% 4.43/1.22 % (2065937)------------------------------
% 4.43/1.22 % (2065937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065937)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065937)Termination reason: Instruction limit
% 4.43/1.22 % (2065937)Termination phase: Saturation
% 4.43/1.22 % (2065937)Time elapsed: 0.121 s
% 4.43/1.22 % (2065937)Peak memory usage: 92 MB
% 4.43/1.22 % (2065937)Instructions burned: 327 (million)
% 4.43/1.22 % (2065940)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=2551517870:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.43/1.22 % (2065942)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=546270839:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.43/1.22 % (2065921)First to succeed.
% 4.43/1.22 % (2065922)Also succeeded, but the first one will report.
% 4.43/1.22 % (2065940)Instruction limit reached!
% 4.43/1.22 % (2065940)------------------------------
% 4.43/1.22 % (2065940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065940)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065940)Termination reason: Instruction limit
% 4.43/1.22 % (2065940)Termination phase: Saturation
% 4.43/1.22 % (2065940)Time elapsed: 0.076 s
% 4.43/1.22 % (2065940)Peak memory usage: 90 MB
% 4.43/1.22 % (2065940)Instructions burned: 250 (million)
% 4.43/1.22 % (2065921)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2065916"
% 4.43/1.22 % (2065943)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2845383783:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.43/1.22 % (2065942)Instruction limit reached!
% 4.43/1.22 % (2065942)------------------------------
% 4.43/1.22 % (2065942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065942)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065942)Termination reason: Instruction limit
% 4.43/1.22 % (2065942)Termination phase: Saturation
% 4.43/1.22 % (2065942)Time elapsed: 0.093 s
% 4.43/1.22 % (2065942)Peak memory usage: 89 MB
% 4.43/1.22 % (2065942)Instructions burned: 297 (million)
% 4.43/1.22 % (2065945)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4036328489:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.43/1.22 % (2065945)Instruction limit reached!
% 4.43/1.22 % (2065945)------------------------------
% 4.43/1.22 % (2065945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.22 % (2065945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.22 % (2065945)CaDiCaL version: 2.1.3
% 4.43/1.22 % (2065945)Termination reason: Instruction limit
% 4.43/1.22 % (2065945)Termination phase: Saturation
% 4.43/1.22 % (2065945)Time elapsed: 0.038 s
% 4.43/1.22 % (2065945)Peak memory usage: 90 MB
% 4.43/1.22 % (2065945)Instructions burned: 114 (million)
% 4.43/1.22 % (2065947)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=546656483:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.43/1.22 % (2065949)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3324086266:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.43/1.22 % (2065921)Refutation found. Thanks to Tanya!
% 4.43/1.22 % SZS status Theorem for theBenchmark
% 4.43/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 5.01/1.32 % (2065921)------------------------------
% 5.01/1.32 % (2065921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.32 % (2065921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.32 % (2065921)CaDiCaL version: 2.1.3
% 5.01/1.32 % (2065921)Termination reason: Refutation
% 5.01/1.32 % (2065921)Time elapsed: 0.373 s
% 5.01/1.32 % (2065921)Peak memory usage: 128 MB
% 5.01/1.32 % (2065921)Instructions burned: 986 (million)
% 5.01/1.32 % (2065921)------------------------------
% 5.01/1.32 % (2065921)------------------------------
% 5.01/1.32 % (2065916)Success in time 0.68 s
% 5.01/1.32 % Vampire exiting
%------------------------------------------------------------------------------