%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO614+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 : n005.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 09:53:04 AM UTC 2026
% Result : Theorem 7.17s 2.17s
% Output : Refutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 10 unt; 2 def)
% Number of atoms : 266 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 285 ( 111 ~; 105 |; 52 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 380 ( 0 sgn 360 !; 20 ?)
% 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(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/sandbox2/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/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,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) )
=> perp(X5,X6,X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618076) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) )
=> perp(X5,X6,X6,X8) ),
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,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK25,sK26,sK26,sK28)
& circle(sK23,sK20,sK21,sK22)
& midp(sK24,sK22,sK21)
& coll(sK25,sK23,sK24)
& circle(sK23,sK20,sK25,sK29)
& perp(sK26,sK25,sK20,sK21)
& coll(sK26,sK20,sK21)
& perp(sK27,sK20,sK23,sK24)
& coll(sK27,sK23,sK24)
& circle(sK28,sK26,sK24,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29)],[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(f388,plain,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ perp(sK25,sK26,sK26,sK28),
inference(cnf_transformation,[],[f270]) ).
fof(f394,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(f395,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,[],[f394]) ).
fof(f398,plain,
perp(sK20,sK21,sK26,sK25),
inference(resolution,[],[f278,f388]) ).
fof(f414,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK26,sK25)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f388]) ).
fof(f428,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(f443,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(f456,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f428]) ).
fof(f458,definition,
( spl30_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f459,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,definition,
( spl30_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f462,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f463,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f456,f461,f458]) ).
fof(f464,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f414,f398]) ).
fof(f469,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f443]) ).
fof(f472,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f469,f462]) ).
fof(f493,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f443]) ).
fof(f496,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f493,f472]) ).
fof(f499,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f496,f462]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl30_2 ),
inference(resolution,[],[f499,f287]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f500,f499]) ).
fof(f509,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl30_2 ),
inference(resolution,[],[f506,f395]) ).
fof(f512,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f509,f506]) ).
fof(f514,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f512,f506]) ).
fof(f515,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl30_2 ),
inference(resolution,[],[f514,f327]) ).
fof(f516,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f515,f514]) ).
fof(f517,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl30_2 ),
inference(resolution,[],[f516,f279]) ).
fof(f518,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl30_2 ),
inference(resolution,[],[f516,f280]) ).
fof(f519,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl30_2 ),
inference(resolution,[],[f516,f278]) ).
fof(f523,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f517,f519]) ).
fof(f529,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl30_2 ),
inference(resolution,[],[f518,f523]) ).
fof(f530,plain,
( $false
| ~ spl30_2 ),
inference(resolution,[],[f529,f393]) ).
fof(f537,plain,
~ spl30_2,
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f538,plain,
( $false
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f464,f459]) ).
fof(f539,plain,
~ spl30_1,
inference(avatar_contradiction_clause,[],[f538]) ).
cnf(s1,plain,
( spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f463]) ).
cnf(s2,plain,
~ spl30_2,
inference(sat_conversion,[],[f537]) ).
cnf(s3,plain,
~ spl30_1,
inference(sat_conversion,[],[f539]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f540,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO614+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n005.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 08:38:47 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.48 Running first-order theorem proving
% 0.16/0.48 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
% 7.17/2.17 % (3683270)Detected formulas, will run a generic FOF schedule.
% 7.17/2.17 % (3683283)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=1890982236:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.17/2.17 % (3683286)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1718803905:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.17/2.17 % (3683287)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=809540921:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.17/2.17 % (3683288)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=536566688:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.17/2.17 % (3683285)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=1632678135:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.17/2.17 % (3683284)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=929316388:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.17/2.17 % (3683289)dis-21_1_sil=8000:lcm=predicate:random_seed=3735012108: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)
% 7.17/2.17 % (3683286)Refutation not found, incomplete strategy
% 7.17/2.17 % (3683286)------------------------------
% 7.17/2.17 % (3683286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/2.17 % (3683286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/2.17 % (3683286)CaDiCaL version: 2.1.3
% 7.17/2.17 % (3683286)Termination reason: Refutation not found, incomplete strategy
% 7.17/2.17 % (3683286)Time elapsed: 0.070 s
% 7.17/2.17 % (3683286)Peak memory usage: 89 MB
% 7.17/2.17 % (3683286)Instructions burned: 77 (million)
% 7.17/2.17 % (3683287)Instruction limit reached!
% 7.17/2.17 % (3683287)------------------------------
% 7.17/2.17 % (3683287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/2.17 % (3683287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/2.17 % (3683287)CaDiCaL version: 2.1.3
% 7.17/2.17 % (3683287)Termination reason: Instruction limit
% 7.17/2.17 % (3683287)Termination phase: Saturation
% 7.17/2.17 % (3683287)Time elapsed: 0.079 s
% 7.17/2.17 % (3683287)Peak memory usage: 88 MB
% 7.17/2.17 % (3683287)Instructions burned: 120 (million)
% 7.17/2.17 % (3683289)Instruction limit reached!
% 7.17/2.17 % (3683289)------------------------------
% 7.17/2.17 % (3683289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/2.17 % (3683289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/2.17 % (3683289)CaDiCaL version: 2.1.3
% 7.17/2.17 % (3683289)Termination reason: Instruction limit
% 7.17/2.17 % (3683289)Termination phase: Saturation
% 7.17/2.17 % (3683289)Time elapsed: 0.121 s
% 7.17/2.17 % (3683289)Peak memory usage: 89 MB
% 7.17/2.17 % (3683289)Instructions burned: 129 (million)
% 7.17/2.17 % (3683288)Instruction limit reached!
% 7.17/2.17 % (3683288)------------------------------
% 7.17/2.17 % (3683288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/2.17 % (3683288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/2.17 % (3683288)CaDiCaL version: 2.1.3
% 7.17/2.17 % (3683288)Termination reason: Instruction limit
% 7.17/2.17 % (3683288)Termination phase: Saturation
% 7.17/2.17 % (3683288)Time elapsed: 0.142 s
% 7.17/2.17 % (3683288)Peak memory usage: 90 MB
% 7.17/2.17 % (3683288)Instructions burned: 139 (million)
% 7.17/2.17 % (3683301)lrs+10_1_sil=8000:sp=occurrence:random_seed=2481071989:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.17/2.17 % (3683302)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4212973711:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.17/2.17 % (3683303)lrs+1011_1_sil=32000:sp=occurrence:random_seed=137947485:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.17/2.17 % (3683286)------------------------------
% 7.17/2.17 % (3683286)------------------------------
% 7.17/2.17 % (3683301)Instruction limit reached!
% 7.17/2.17 % (3683301)------------------------------
% 7.17/2.17 % (3683301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/2.17 % (3683301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/2.17 % (3683301)CaDiCaL version: 2.1.3
% 7.17/2.17 % (3683301)Termination reason: Instruction limit
% 7.17/2.17 % (3683301)Termination phase: Saturation
% 7.17/2.17 % (3683301)Time elapsed: 0.279 s
% 7.17/2.17 % (3683301)Peak memory usage: 93 MB
% 7.17/2.17 % (3683301)Instructions burned: 285 (million)
% 7.17/2.17 % (3683302)Instruction limit reached!
% 7.17/2.17 % (3683302)------------------------------
% 7.17/2.17 % (3683302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/2.17 % (3683302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/2.17 % (3683302)CaDiCaL version: 2.1.3
% 7.17/2.17 % (3683302)Termination reason: Instruction limit
% 7.17/2.17 % (3683302)Termination phase: Saturation
% 7.17/2.17 % (3683302)Time elapsed: 0.147 s
% 7.17/2.17 % (3683302)Peak memory usage: 90 MB
% 7.17/2.17 % (3683302)Instructions burned: 158 (million)
% 7.17/2.17 % (3683283)First to succeed.
% 7.17/2.17 % (3683283)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3683270"
% 7.17/2.17 % (3683309)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=761258992:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 7.17/2.17 % (3683303)Instruction limit reached!
% 7.17/2.17 % (3683303)------------------------------
% 7.17/2.17 % (3683303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/2.17 % (3683303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/2.17 % (3683303)CaDiCaL version: 2.1.3
% 7.17/2.17 % (3683303)Termination reason: Instruction limit
% 7.17/2.17 % (3683303)Termination phase: Saturation
% 7.17/2.17 % (3683303)Time elapsed: 0.328 s
% 7.17/2.17 % (3683303)Peak memory usage: 92 MB
% 7.17/2.17 % (3683303)Instructions burned: 325 (million)
% 7.17/2.17 % (3683309)Instruction limit reached!
% 7.17/2.17 % (3683309)------------------------------
% 7.17/2.17 % (3683309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/2.17 % (3683309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/2.17 % (3683309)CaDiCaL version: 2.1.3
% 7.17/2.17 % (3683309)Termination reason: Instruction limit
% 7.17/2.17 % (3683309)Termination phase: Saturation
% 7.17/2.17 % (3683309)Time elapsed: 0.123 s
% 7.17/2.17 % (3683309)Peak memory usage: 90 MB
% 7.17/2.17 % (3683309)Instructions burned: 249 (million)
% 7.17/2.17 % (3683310)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2293551529:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 7.17/2.17 % (3683311)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2416572166:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 7.17/2.17 % (3683314)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=58409749:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 7.17/2.17 % (3683283)Refutation found. Thanks to Tanya!
% 7.17/2.17 % SZS status Theorem for theBenchmark
% 7.17/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 8.70/2.45 % (3683283)------------------------------
% 8.70/2.45 % (3683283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.45 % (3683283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.45 % (3683283)CaDiCaL version: 2.1.3
% 8.70/2.45 % (3683283)Termination reason: Refutation
% 8.70/2.45 % (3683283)Time elapsed: 0.611 s
% 8.70/2.45 % (3683283)Peak memory usage: 131 MB
% 8.70/2.45 % (3683283)Instructions burned: 990 (million)
% 8.70/2.45 % (3683283)------------------------------
% 8.70/2.45 % (3683283)------------------------------
% 8.70/2.45 % (3683270)Success in time 1.108 s
% 8.70/2.45 % Vampire exiting
%------------------------------------------------------------------------------