%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO573+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 09:52:58 AM UTC 2026
% Result : Theorem 6.15s 1.92s
% Output : Refutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 100 ( 10 unt; 2 def)
% Number of atoms : 286 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 309 ( 123 ~; 117 |; 51 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 395 ( 0 sgn 377 !; 18 ?)
% 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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
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] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& circle(X3,X2,X6,X8)
& coll(X6,X2,X4)
& coll(X7,X2,X4)
& coll(X7,X1,X5) )
=> cong(X0,X6,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214035) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& circle(X3,X2,X6,X8)
& coll(X6,X2,X4)
& coll(X7,X2,X4)
& coll(X7,X1,X5) )
=> cong(X0,X6,X0,X7) ),
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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
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] :
( ~ cong(X0,X6,X0,X7)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& circle(X3,X2,X6,X8)
& coll(X6,X2,X4)
& coll(X7,X2,X4)
& coll(X7,X1,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X6,X0,X7)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& circle(X3,X2,X6,X8)
& coll(X6,X2,X4)
& coll(X7,X2,X4)
& coll(X7,X1,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK20,sK26,sK20,sK27)
& circle(sK23,sK20,sK21,sK22)
& perp(sK24,sK22,sK20,sK21)
& coll(sK24,sK20,sK21)
& perp(sK25,sK21,sK20,sK22)
& coll(sK25,sK20,sK22)
& circle(sK23,sK22,sK26,sK28)
& coll(sK26,sK22,sK24)
& coll(sK27,sK22,sK24)
& coll(sK27,sK21,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),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)],[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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
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(f389,plain,
perp(sK25,sK21,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ cong(sK20,sK26,sK20,sK27),
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(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| cong(X1,X3,X2,X3) ),
inference(resolution,[],[f310,f314]) ).
fof(f406,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,[],[f406,f309]) ).
fof(f412,definition,
( spl29_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f413,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,definition,
( spl29_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f416,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f417,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f408,f415,f412]) ).
fof(f430,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(f441,plain,
perp(sK20,sK22,sK25,sK21),
inference(resolution,[],[f278,f389]) ).
fof(f447,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f430]) ).
fof(f457,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK21)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f389]) ).
fof(f463,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f457,f441]) ).
fof(f464,plain,
( $false
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f463,f416]) ).
fof(f465,plain,
~ spl29_2,
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f467,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f447,f413]) ).
fof(f491,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f430]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f491,f467]) ).
fof(f499,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f494,f413]) ).
fof(f505,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f499,f287]) ).
fof(f512,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f505,f499]) ).
fof(f518,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl29_1 ),
inference(resolution,[],[f512,f395]) ).
fof(f519,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X2)
| cong(X0,X1,X3,X1) )
| ~ spl29_1 ),
inference(resolution,[],[f512,f396]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f519,f512]) ).
fof(f522,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f518,f512]) ).
fof(f523,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f521,f512]) ).
fof(f524,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f522,f512]) ).
fof(f525,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl29_1 ),
inference(resolution,[],[f524,f327]) ).
fof(f529,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f525,f524]) ).
fof(f530,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl29_1 ),
inference(resolution,[],[f529,f279]) ).
fof(f531,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl29_1 ),
inference(resolution,[],[f529,f278]) ).
fof(f535,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f530,f531]) ).
fof(f555,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl29_1 ),
inference(resolution,[],[f523,f535]) ).
fof(f558,plain,
( ! [X2,X0,X1] : cong(X0,X1,X1,X2)
| ~ spl29_1 ),
inference(resolution,[],[f555,f293]) ).
fof(f567,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X0)
| ~ spl29_1 ),
inference(resolution,[],[f558,f294]) ).
fof(f572,plain,
( ! [X2,X0,X1] : cong(X0,X1,X0,X2)
| ~ spl29_1 ),
inference(resolution,[],[f567,f293]) ).
fof(f574,plain,
( $false
| ~ spl29_1 ),
inference(resolution,[],[f572,f393]) ).
fof(f579,plain,
~ spl29_1,
inference(avatar_contradiction_clause,[],[f574]) ).
cnf(s1,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f417]) ).
cnf(s2,plain,
~ spl29_2,
inference(sat_conversion,[],[f465]) ).
cnf(s3,plain,
~ spl29_1,
inference(sat_conversion,[],[f579]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f580,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO573+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n005.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun Sep 27 08:33:02 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 6.15/1.92 % (3680669)Detected formulas, will run a generic FOF schedule.
% 6.15/1.92 % (3680687)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=4107553034:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.15/1.92 % (3680692)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3017985363:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.15/1.92 % (3680688)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=305983711:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.15/1.92 % (3680689)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=3075096674:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.15/1.92 % (3680693)dis-21_1_sil=8000:lcm=predicate:random_seed=3608134240: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)
% 6.15/1.92 % (3680690)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1098519105:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.15/1.92 % (3680691)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2747594129:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.15/1.92 % (3680692)Instruction limit reached!
% 6.15/1.92 % (3680692)------------------------------
% 6.15/1.92 % (3680692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.92 % (3680692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.92 % (3680692)CaDiCaL version: 2.1.3
% 6.15/1.92 % (3680692)Termination reason: Instruction limit
% 6.15/1.92 % (3680692)Termination phase: Saturation
% 6.15/1.92 % (3680692)Time elapsed: 0.111 s
% 6.15/1.92 % (3680692)Peak memory usage: 90 MB
% 6.15/1.92 % (3680692)Instructions burned: 139 (million)
% 6.15/1.92 % (3680690)Instruction limit reached!
% 6.15/1.92 % (3680690)------------------------------
% 6.15/1.92 % (3680690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.92 % (3680690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.92 % (3680690)CaDiCaL version: 2.1.3
% 6.15/1.92 % (3680690)Termination reason: Instruction limit
% 6.15/1.92 % (3680690)Termination phase: Saturation
% 6.15/1.92 % (3680690)Time elapsed: 0.109 s
% 6.15/1.92 % (3680690)Peak memory usage: 89 MB
% 6.15/1.92 % (3680690)Instructions burned: 109 (million)
% 6.15/1.92 % (3680693)Instruction limit reached!
% 6.15/1.92 % (3680693)------------------------------
% 6.15/1.92 % (3680693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.92 % (3680693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.92 % (3680693)CaDiCaL version: 2.1.3
% 6.15/1.92 % (3680693)Termination reason: Instruction limit
% 6.15/1.92 % (3680693)Termination phase: Saturation
% 6.15/1.92 % (3680693)Time elapsed: 0.126 s
% 6.15/1.92 % (3680693)Peak memory usage: 89 MB
% 6.15/1.92 % (3680693)Instructions burned: 129 (million)
% 6.15/1.92 % (3680691)Instruction limit reached!
% 6.15/1.92 % (3680691)------------------------------
% 6.15/1.92 % (3680691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.92 % (3680691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.92 % (3680691)CaDiCaL version: 2.1.3
% 6.15/1.92 % (3680691)Termination reason: Instruction limit
% 6.15/1.92 % (3680691)Termination phase: Saturation
% 6.15/1.92 % (3680691)Time elapsed: 0.114 s
% 6.15/1.92 % (3680691)Peak memory usage: 88 MB
% 6.15/1.92 % (3680691)Instructions burned: 120 (million)
% 6.15/1.92 % (3680716)lrs+10_1_sil=8000:sp=occurrence:random_seed=1785818968:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 6.15/1.92 % (3680719)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1657356780:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.15/1.92 % (3680717)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2167848088:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.15/1.92 % (3680719)Refutation not found, incomplete strategy
% 6.15/1.92 % (3680719)------------------------------
% 6.15/1.92 % (3680719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.92 % (3680719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.92 % (3680719)CaDiCaL version: 2.1.3
% 6.15/1.92 % (3680719)Termination reason: Refutation not found, incomplete strategy
% 6.15/1.92 % (3680719)Time elapsed: 0.020 s
% 6.15/1.92 % (3680719)Peak memory usage: 88 MB
% 6.15/1.92 % (3680719)Instructions burned: 18 (million)
% 6.15/1.92 % (3680723)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=423488086:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.15/1.92 % (3680717)Instruction limit reached!
% 6.15/1.92 % (3680717)------------------------------
% 6.15/1.92 % (3680717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.92 % (3680717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.92 % (3680717)CaDiCaL version: 2.1.3
% 6.15/1.92 % (3680717)Termination reason: Instruction limit
% 6.15/1.92 % (3680717)Termination phase: Saturation
% 6.15/1.92 % (3680717)Time elapsed: 0.142 s
% 6.15/1.92 % (3680717)Peak memory usage: 89 MB
% 6.15/1.92 % (3680717)Instructions burned: 157 (million)
% 6.15/1.92 % (3680687)First to succeed.
% 6.15/1.92 % (3680687)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3680669"
% 6.15/1.92 % (3680716)Instruction limit reached!
% 6.15/1.92 % (3680716)------------------------------
% 6.15/1.92 % (3680716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.92 % (3680716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.92 % (3680716)CaDiCaL version: 2.1.3
% 6.15/1.92 % (3680716)Termination reason: Instruction limit
% 6.15/1.92 % (3680716)Termination phase: Saturation
% 6.15/1.92 % (3680716)Time elapsed: 0.294 s
% 6.15/1.92 % (3680716)Peak memory usage: 92 MB
% 6.15/1.92 % (3680716)Instructions burned: 286 (million)
% 6.15/1.92 % (3680723)Instruction limit reached!
% 6.15/1.92 % (3680723)------------------------------
% 6.15/1.92 % (3680723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.15/1.92 % (3680723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.92 % (3680723)CaDiCaL version: 2.1.3
% 6.15/1.92 % (3680723)Termination reason: Instruction limit
% 6.15/1.92 % (3680723)Termination phase: Saturation
% 6.15/1.92 % (3680723)Time elapsed: 0.237 s
% 6.15/1.92 % (3680723)Peak memory usage: 91 MB
% 6.15/1.92 % (3680723)Instructions burned: 248 (million)
% 6.15/1.92 % (3680719)------------------------------
% 6.15/1.92 % (3680719)------------------------------
% 6.15/1.92 % (3680687)Refutation found. Thanks to Tanya!
% 6.15/1.92 % SZS status Theorem for theBenchmark
% 6.15/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 8.05/2.15 % (3680687)------------------------------
% 8.05/2.15 % (3680687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/2.15 % (3680687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/2.15 % (3680687)CaDiCaL version: 2.1.3
% 8.05/2.15 % (3680687)Termination reason: Refutation
% 8.05/2.15 % (3680687)Time elapsed: 0.619 s
% 8.05/2.15 % (3680687)Peak memory usage: 130 MB
% 8.05/2.15 % (3680687)Instructions burned: 992 (million)
% 8.05/2.15 % (3680687)------------------------------
% 8.05/2.15 % (3680687)------------------------------
% 8.05/2.15 % (3680669)Success in time 1.052 s
% 8.05/2.15 % Vampire exiting
%------------------------------------------------------------------------------