%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO542+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 09:52:53 AM UTC 2026
% Result : Theorem 6.69s 1.96s
% Output : Refutation 8.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 98 ( 8 unt; 2 def)
% Number of atoms : 257 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 279 ( 120 ~; 114 |; 27 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 406 ( 0 sgn 390 !; 16 ?)
% 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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( midp(X3,X2,X1)
& midp(X4,X2,X0)
& midp(X5,X1,X0)
& circle(X6,X0,X1,X2) )
=> perp(X6,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012002) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( midp(X3,X2,X1)
& midp(X4,X2,X0)
& midp(X5,X1,X0)
& circle(X6,X0,X1,X2) )
=> perp(X6,X3,X4,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(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X6,X3,X4,X5)
& midp(X3,X2,X1)
& midp(X4,X2,X0)
& midp(X5,X1,X0)
& circle(X6,X0,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X6,X3,X4,X5)
& midp(X3,X2,X1)
& midp(X4,X2,X0)
& midp(X5,X1,X0)
& circle(X6,X0,X1,X2) ),
inference(flattening,[],[f249]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f270,plain,
( ~ perp(sK26,sK23,sK24,sK25)
& midp(sK23,sK22,sK21)
& midp(sK24,sK22,sK20)
& midp(sK25,sK21,sK20)
& circle(sK26,sK20,sK21,sK22) ),
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(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(f370,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
fof(f384,plain,
circle(sK26,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
~ perp(sK26,sK23,sK24,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(f405,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(f408,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f405,f309]) ).
fof(f412,definition,
( spl27_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f413,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,definition,
( spl27_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f416,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f417,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f408,f415,f412]) ).
fof(f431,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(f434,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f431,f312]) ).
fof(f445,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f431]) ).
fof(f450,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,sK11(X0,X2,X3,X1),X0)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f278,f370]) ).
fof(f455,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,sK11(X2,X3,X4,X5),X2)
| para(X0,X1,X2,X5)
| ~ circle(X5,X2,X3,X4) ),
inference(resolution,[],[f279,f370]) ).
fof(f460,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ circle(X1,X0,X2,X3)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f455,f450]) ).
fof(f461,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ circle(X1,X0,X2,X3) ),
inference(duplicate_literal_removal,[],[f460]) ).
fof(f462,plain,
( ! [X2,X3,X0,X1] : ~ circle(X1,X0,X2,X3)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f461,f416]) ).
fof(f463,plain,
( $false
| ~ spl27_2 ),
inference(resolution,[],[f462,f384]) ).
fof(f464,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f465,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f434,f413]) ).
fof(f467,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f445,f413]) ).
fof(f470,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f467,f465]) ).
fof(f476,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f470,f287]) ).
fof(f480,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f476,f470]) ).
fof(f486,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(resolution,[],[f480,f390]) ).
fof(f490,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f486,f480]) ).
fof(f492,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f490,f480]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl27_1 ),
inference(resolution,[],[f492,f327]) ).
fof(f494,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f493,f492]) ).
fof(f495,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f494,f279]) ).
fof(f496,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl27_1 ),
inference(resolution,[],[f494,f278]) ).
fof(f498,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f494,f280]) ).
fof(f500,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f495,f496]) ).
fof(f512,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(resolution,[],[f498,f500]) ).
fof(f513,plain,
( $false
| ~ spl27_1 ),
inference(resolution,[],[f512,f388]) ).
fof(f519,plain,
~ spl27_1,
inference(avatar_contradiction_clause,[],[f513]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f417]) ).
cnf(s2,plain,
~ spl27_2,
inference(sat_conversion,[],[f464]) ).
cnf(s3,plain,
~ spl27_1,
inference(sat_conversion,[],[f519]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f520,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO542+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:33:31 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.69/1.96 % (2319700)Detected formulas, will run a generic FOF schedule.
% 6.69/1.96 % (2319711)dis-21_1_sil=8000:lcm=predicate:random_seed=1340462591:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.69/1.96 % (2319707)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=3332534219:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.69/1.96 % (2319708)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2995768044:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.69/1.96 % (2319710)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1536428013:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.69/1.96 % (2319705)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=3082846905:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.69/1.96 % (2319706)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=3293211992:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.69/1.96 % (2319709)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=258710286:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.69/1.96 % (2319711)Instruction limit reached!
% 6.69/1.96 % (2319711)------------------------------
% 6.69/1.96 % (2319711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319711)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319711)Termination reason: Instruction limit
% 6.69/1.96 % (2319711)Termination phase: Saturation
% 6.69/1.96 % (2319711)Time elapsed: 0.042 s
% 6.69/1.96 % (2319711)Peak memory usage: 89 MB
% 6.69/1.96 % (2319711)Instructions burned: 131 (million)
% 6.69/1.96 % (2319708)Refutation not found, incomplete strategy
% 6.69/1.96 % (2319708)------------------------------
% 6.69/1.96 % (2319708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319708)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319708)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.96 % (2319708)Time elapsed: 0.005 s
% 6.69/1.96 % (2319708)Peak memory usage: 88 MB
% 6.69/1.96 % (2319708)Instructions burned: 6 (million)
% 6.69/1.96 % (2319709)Instruction limit reached!
% 6.69/1.96 % (2319709)------------------------------
% 6.69/1.96 % (2319709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319709)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319709)Termination reason: Instruction limit
% 6.69/1.96 % (2319709)Termination phase: Saturation
% 6.69/1.96 % (2319709)Time elapsed: 0.070 s
% 6.69/1.96 % (2319709)Peak memory usage: 88 MB
% 6.69/1.96 % (2319709)Instructions burned: 121 (million)
% 6.69/1.96 % (2319710)Instruction limit reached!
% 6.69/1.96 % (2319710)------------------------------
% 6.69/1.96 % (2319710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319710)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319710)Termination reason: Instruction limit
% 6.69/1.96 % (2319710)Termination phase: Saturation
% 6.69/1.96 % (2319710)Time elapsed: 0.098 s
% 6.69/1.96 % (2319710)Peak memory usage: 90 MB
% 6.69/1.96 % (2319710)Instructions burned: 142 (million)
% 6.69/1.96 % (2319719)lrs+10_1_sil=8000:sp=occurrence:random_seed=3004134814:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.69/1.96 % (2319719)Instruction limit reached!
% 6.69/1.96 % (2319719)------------------------------
% 6.69/1.96 % (2319719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319719)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319719)Termination reason: Instruction limit
% 6.69/1.96 % (2319719)Termination phase: Saturation
% 6.69/1.96 % (2319719)Time elapsed: 0.101 s
% 6.69/1.96 % (2319719)Peak memory usage: 92 MB
% 6.69/1.96 % (2319719)Instructions burned: 287 (million)
% 6.69/1.96 % (2319720)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3102571034:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.69/1.96 % (2319708)------------------------------
% 6.69/1.96 % (2319708)------------------------------
% 6.69/1.96 % (2319721)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3604164918:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.69/1.96 % (2319720)Instruction limit reached!
% 6.69/1.96 % (2319720)------------------------------
% 6.69/1.96 % (2319720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319720)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319720)Termination reason: Instruction limit
% 6.69/1.96 % (2319720)Termination phase: Saturation
% 6.69/1.96 % (2319720)Time elapsed: 0.081 s
% 6.69/1.96 % (2319720)Peak memory usage: 92 MB
% 6.69/1.96 % (2319720)Instructions burned: 159 (million)
% 6.69/1.96 % (2319723)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=2312845298:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.69/1.96 % (2319723)Instruction limit reached!
% 6.69/1.96 % (2319723)------------------------------
% 6.69/1.96 % (2319723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319723)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319723)Termination reason: Instruction limit
% 6.69/1.96 % (2319723)Termination phase: Saturation
% 6.69/1.96 % (2319723)Time elapsed: 0.070 s
% 6.69/1.96 % (2319723)Peak memory usage: 92 MB
% 6.69/1.96 % (2319723)Instructions burned: 251 (million)
% 6.69/1.96 % (2319726)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2677810687:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.69/1.96 % (2319721)Instruction limit reached!
% 6.69/1.96 % (2319721)------------------------------
% 6.69/1.96 % (2319721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319721)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319721)Termination reason: Instruction limit
% 6.69/1.96 % (2319721)Termination phase: Saturation
% 6.69/1.96 % (2319721)Time elapsed: 0.208 s
% 6.69/1.96 % (2319721)Peak memory usage: 91 MB
% 6.69/1.96 % (2319721)Instructions burned: 326 (million)
% 6.69/1.96 % (2319727)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3096634367:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.69/1.96 % (2319730)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3737305812:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.69/1.96 % (2319730)Instruction limit reached!
% 6.69/1.96 % (2319730)------------------------------
% 6.69/1.96 % (2319730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319730)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319730)Termination reason: Instruction limit
% 6.69/1.96 % (2319730)Termination phase: Saturation
% 6.69/1.96 % (2319730)Time elapsed: 0.037 s
% 6.69/1.96 % (2319730)Peak memory usage: 90 MB
% 6.69/1.96 % (2319730)Instructions burned: 115 (million)
% 6.69/1.96 % (2319726)Instruction limit reached!
% 6.69/1.96 % (2319726)------------------------------
% 6.69/1.96 % (2319726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319726)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319726)Termination reason: Instruction limit
% 6.69/1.96 % (2319726)Termination phase: Saturation
% 6.69/1.96 % (2319726)Time elapsed: 0.169 s
% 6.69/1.96 % (2319726)Peak memory usage: 89 MB
% 6.69/1.96 % (2319726)Instructions burned: 296 (million)
% 6.69/1.96 % (2319732)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3824220820:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.69/1.96 % (2319705)First to succeed.
% 6.69/1.96 % (2319705)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2319700"
% 6.69/1.96 % (2319734)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3608634381:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.69/1.96 % (2319732)Instruction limit reached!
% 6.69/1.96 % (2319732)------------------------------
% 6.69/1.96 % (2319732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319732)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319732)Termination reason: Instruction limit
% 6.69/1.96 % (2319732)Termination phase: Saturation
% 6.69/1.96 % (2319732)Time elapsed: 0.072 s
% 6.69/1.96 % (2319732)Peak memory usage: 89 MB
% 6.69/1.96 % (2319732)Instructions burned: 127 (million)
% 6.69/1.96 % (2319734)Instruction limit reached!
% 6.69/1.96 % (2319734)------------------------------
% 6.69/1.96 % (2319734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319734)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319734)Termination reason: Instruction limit
% 6.69/1.96 % (2319734)Termination phase: Saturation
% 6.69/1.96 % (2319734)Time elapsed: 0.036 s
% 6.69/1.96 % (2319734)Peak memory usage: 90 MB
% 6.69/1.96 % (2319734)Instructions burned: 116 (million)
% 6.69/1.96 % (2319735)lrs+10_1_sil=8000:sp=occurrence:random_seed=2748751342:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.69/1.96 % (2319706)Also succeeded, but the first one will report.
% 6.69/1.96 % (2319738)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3612198689:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.69/1.96 % (2319738)Refutation not found, incomplete strategy
% 6.69/1.96 % (2319738)------------------------------
% 6.69/1.96 % (2319738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (2319738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (2319738)CaDiCaL version: 2.1.3
% 6.69/1.96 % (2319738)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.96 % (2319738)Time elapsed: 0.003 s
% 6.69/1.96 % (2319738)Peak memory usage: 88 MB
% 6.69/1.96 % (2319738)Instructions burned: 2 (million)
% 6.69/1.96 % (2319739)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=439665422:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.69/1.96 % (2319705)Refutation found. Thanks to Tanya!
% 6.69/1.96 % SZS status Theorem for theBenchmark
% 6.69/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.42/2.15 % (2319705)------------------------------
% 8.42/2.15 % (2319705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.15 % (2319705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.15 % (2319705)CaDiCaL version: 2.1.3
% 8.42/2.15 % (2319705)Termination reason: Refutation
% 8.42/2.15 % (2319705)Time elapsed: 0.656 s
% 8.42/2.15 % (2319705)Peak memory usage: 130 MB
% 8.42/2.15 % (2319705)Instructions burned: 986 (million)
% 8.42/2.15 % (2319705)------------------------------
% 8.42/2.15 % (2319705)------------------------------
% 8.42/2.15 % (2319700)Success in time 1.102 s
% 8.42/2.15 % Vampire exiting
%------------------------------------------------------------------------------