%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO575+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 : 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 7.35s 1.95s
% Output : Refutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 100 ( 10 unt; 2 def)
% Number of atoms : 281 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 303 ( 122 ~; 117 |; 46 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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/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(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/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/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,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& perp(X0,X1,X2,X4)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& circle(X3,X2,X5,X7)
& coll(X5,X2,X4)
& circle(X3,X0,X6,X8)
& coll(X6,X0,X4) )
=> cong(X1,X6,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214037) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& perp(X0,X1,X2,X4)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& circle(X3,X2,X5,X7)
& coll(X5,X2,X4)
& circle(X3,X0,X6,X8)
& coll(X6,X0,X4) )
=> cong(X1,X6,X1,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(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(X1,X6,X1,X5)
& circle(X3,X0,X1,X2)
& perp(X0,X1,X2,X4)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& circle(X3,X2,X5,X7)
& coll(X5,X2,X4)
& circle(X3,X0,X6,X8)
& coll(X6,X0,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X1,X6,X1,X5)
& circle(X3,X0,X1,X2)
& perp(X0,X1,X2,X4)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& circle(X3,X2,X5,X7)
& coll(X5,X2,X4)
& circle(X3,X0,X6,X8)
& coll(X6,X0,X4) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK21,sK26,sK21,sK25)
& circle(sK23,sK20,sK21,sK22)
& perp(sK20,sK21,sK22,sK24)
& perp(sK20,sK22,sK21,sK24)
& perp(sK21,sK22,sK20,sK24)
& circle(sK23,sK22,sK25,sK27)
& coll(sK25,sK22,sK24)
& circle(sK23,sK20,sK26,sK28)
& coll(sK26,sK20,sK24) ),
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(f390,plain,
perp(sK20,sK21,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ cong(sK21,sK26,sK21,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f393,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(f394,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,[],[f393]) ).
fof(f395,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(f400,plain,
perp(sK22,sK24,sK20,sK21),
inference(resolution,[],[f278,f390]) ).
fof(f411,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f411,f309]) ).
fof(f417,definition,
( spl29_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f418,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f420,definition,
( spl29_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f421,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f413,f420,f417]) ).
fof(f435,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,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK22,sK24) ),
inference(resolution,[],[f279,f390]) ).
fof(f451,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f435]) ).
fof(f457,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f435]) ).
fof(f459,plain,
para(sK22,sK24,sK22,sK24),
inference(resolution,[],[f400,f445]) ).
fof(f463,plain,
( $false
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f459,f421]) ).
fof(f464,plain,
~ spl29_2,
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f466,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f451,f418]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f457,f418]) ).
fof(f473,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f470,f466]) ).
fof(f477,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f473,f287]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f477,f473]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl29_1 ),
inference(resolution,[],[f483,f394]) ).
fof(f490,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,[],[f483,f395]) ).
fof(f491,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,[],[f490,f483]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f489,f483]) ).
fof(f493,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f491,f483]) ).
fof(f494,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f492,f483]) ).
fof(f495,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl29_1 ),
inference(resolution,[],[f494,f327]) ).
fof(f499,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f495,f494]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl29_1 ),
inference(resolution,[],[f499,f279]) ).
fof(f501,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl29_1 ),
inference(resolution,[],[f499,f278]) ).
fof(f506,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f500,f501]) ).
fof(f515,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl29_1 ),
inference(resolution,[],[f493,f506]) ).
fof(f518,plain,
( ! [X2,X0,X1] : cong(X0,X1,X1,X2)
| ~ spl29_1 ),
inference(resolution,[],[f515,f293]) ).
fof(f522,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X0)
| ~ spl29_1 ),
inference(resolution,[],[f518,f294]) ).
fof(f527,plain,
( ! [X2,X0,X1] : cong(X0,X1,X0,X2)
| ~ spl29_1 ),
inference(resolution,[],[f522,f293]) ).
fof(f529,plain,
( $false
| ~ spl29_1 ),
inference(resolution,[],[f527,f392]) ).
fof(f534,plain,
~ spl29_1,
inference(avatar_contradiction_clause,[],[f529]) ).
cnf(s1,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f422]) ).
cnf(s2,plain,
~ spl29_2,
inference(sat_conversion,[],[f464]) ).
cnf(s3,plain,
~ spl29_1,
inference(sat_conversion,[],[f534]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f535,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO575+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 08:33:02 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 7.35/1.95 % (3680682)Detected formulas, will run a generic FOF schedule.
% 7.35/1.95 % (3680695)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=354916222:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.35/1.95 % (3680700)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3637150531:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.35/1.95 % (3680696)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=3492025828:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.35/1.95 % (3680699)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3290668121:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.35/1.95 % (3680697)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=3478678790:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.35/1.95 % (3680701)dis-21_1_sil=8000:lcm=predicate:random_seed=3878743014: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)
% 7.35/1.95 % (3680698)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=246540738:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.35/1.95 % (3680698)Instruction limit reached!
% 7.35/1.95 % (3680698)------------------------------
% 7.35/1.95 % (3680698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680698)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680698)Termination reason: Instruction limit
% 7.35/1.95 % (3680698)Termination phase: Saturation
% 7.35/1.95 % (3680698)Time elapsed: 0.105 s
% 7.35/1.95 % (3680698)Peak memory usage: 89 MB
% 7.35/1.95 % (3680698)Instructions burned: 109 (million)
% 7.35/1.95 % (3680700)Instruction limit reached!
% 7.35/1.95 % (3680700)------------------------------
% 7.35/1.95 % (3680700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680700)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680700)Termination reason: Instruction limit
% 7.35/1.95 % (3680700)Termination phase: Saturation
% 7.35/1.95 % (3680700)Time elapsed: 0.111 s
% 7.35/1.95 % (3680700)Peak memory usage: 89 MB
% 7.35/1.95 % (3680700)Instructions burned: 139 (million)
% 7.35/1.95 % (3680699)Instruction limit reached!
% 7.35/1.95 % (3680699)------------------------------
% 7.35/1.95 % (3680699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680699)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680699)Termination reason: Instruction limit
% 7.35/1.95 % (3680699)Termination phase: Saturation
% 7.35/1.95 % (3680699)Time elapsed: 0.114 s
% 7.35/1.95 % (3680699)Peak memory usage: 88 MB
% 7.35/1.95 % (3680699)Instructions burned: 120 (million)
% 7.35/1.95 % (3680701)Instruction limit reached!
% 7.35/1.95 % (3680701)------------------------------
% 7.35/1.95 % (3680701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680701)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680701)Termination reason: Instruction limit
% 7.35/1.95 % (3680701)Termination phase: Saturation
% 7.35/1.95 % (3680701)Time elapsed: 0.121 s
% 7.35/1.95 % (3680701)Peak memory usage: 89 MB
% 7.35/1.95 % (3680701)Instructions burned: 130 (million)
% 7.35/1.95 % (3680720)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2340849713:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.35/1.95 % (3680722)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=1748136396:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.35/1.95 % (3680718)lrs+10_1_sil=8000:sp=occurrence:random_seed=2099415662:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 7.35/1.95 % (3680721)lrs+1011_1_sil=32000:sp=occurrence:random_seed=613066440:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.35/1.95 % (3680721)Refutation not found, incomplete strategy
% 7.35/1.95 % (3680721)------------------------------
% 7.35/1.95 % (3680721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680721)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680721)Termination reason: Refutation not found, incomplete strategy
% 7.35/1.95 % (3680721)Time elapsed: 0.020 s
% 7.35/1.95 % (3680721)Peak memory usage: 88 MB
% 7.35/1.95 % (3680721)Instructions burned: 19 (million)
% 7.35/1.95 % (3680720)Instruction limit reached!
% 7.35/1.95 % (3680720)------------------------------
% 7.35/1.95 % (3680720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680720)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680720)Termination reason: Instruction limit
% 7.35/1.95 % (3680720)Termination phase: Saturation
% 7.35/1.95 % (3680720)Time elapsed: 0.141 s
% 7.35/1.95 % (3680720)Peak memory usage: 89 MB
% 7.35/1.95 % (3680720)Instructions burned: 157 (million)
% 7.35/1.95 % (3680722)Instruction limit reached!
% 7.35/1.95 % (3680722)------------------------------
% 7.35/1.95 % (3680722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680722)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680722)Termination reason: Instruction limit
% 7.35/1.95 % (3680722)Termination phase: Saturation
% 7.35/1.95 % (3680722)Time elapsed: 0.222 s
% 7.35/1.95 % (3680722)Peak memory usage: 91 MB
% 7.35/1.95 % (3680722)Instructions burned: 248 (million)
% 7.35/1.95 % (3680718)Instruction limit reached!
% 7.35/1.95 % (3680718)------------------------------
% 7.35/1.95 % (3680718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680718)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680718)Termination reason: Instruction limit
% 7.35/1.95 % (3680718)Termination phase: Saturation
% 7.35/1.95 % (3680718)Time elapsed: 0.255 s
% 7.35/1.95 % (3680718)Peak memory usage: 92 MB
% 7.35/1.95 % (3680718)Instructions burned: 285 (million)
% 7.35/1.95 % (3680732)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2950357746:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 7.35/1.95 % (3680695)First to succeed.
% 7.35/1.95 % (3680695)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3680682"
% 7.35/1.95 % (3680734)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4218490883:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 7.35/1.95 % (3680732)Instruction limit reached!
% 7.35/1.95 % (3680732)------------------------------
% 7.35/1.95 % (3680732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680732)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680732)Termination reason: Instruction limit
% 7.35/1.95 % (3680732)Termination phase: Saturation
% 7.35/1.95 % (3680732)Time elapsed: 0.146 s
% 7.35/1.95 % (3680732)Peak memory usage: 89 MB
% 7.35/1.95 % (3680732)Instructions burned: 295 (million)
% 7.35/1.95 % (3680721)------------------------------
% 7.35/1.95 % (3680721)------------------------------
% 7.35/1.95 % (3680735)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2391840025:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 7.35/1.95 % (3680735)Instruction limit reached!
% 7.35/1.95 % (3680735)------------------------------
% 7.35/1.95 % (3680735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/1.95 % (3680735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.95 % (3680735)CaDiCaL version: 2.1.3
% 7.35/1.95 % (3680735)Termination reason: Instruction limit
% 7.35/1.95 % (3680735)Termination phase: Saturation
% 7.35/1.95 % (3680735)Time elapsed: 0.074 s
% 7.35/1.95 % (3680735)Peak memory usage: 90 MB
% 7.35/1.95 % (3680735)Instructions burned: 114 (million)
% 7.35/1.95 % (3680741)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3895927890:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 7.35/1.95 % (3680742)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=557605284:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 7.35/1.95 % (3680695)Refutation found. Thanks to Tanya!
% 7.35/1.95 % SZS status Theorem for theBenchmark
% 7.35/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.46/2.15 % (3680695)------------------------------
% 8.46/2.15 % (3680695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.15 % (3680695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.15 % (3680695)CaDiCaL version: 2.1.3
% 8.46/2.15 % (3680695)Termination reason: Refutation
% 8.46/2.15 % (3680695)Time elapsed: 0.677 s
% 8.46/2.15 % (3680695)Peak memory usage: 131 MB
% 8.46/2.15 % (3680695)Instructions burned: 983 (million)
% 8.46/2.15 % (3680695)------------------------------
% 8.46/2.15 % (3680695)------------------------------
% 8.46/2.15 % (3680682)Success in time 1.107 s
% 8.46/2.15 % Vampire exiting
%------------------------------------------------------------------------------