%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO649+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 : n017.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 09:53:09 AM UTC 2026
% Result : Theorem 5.76s 1.84s
% Output : Refutation 6.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 10 unt; 2 def)
% Number of atoms : 269 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 284 ( 101 ~; 96 |; 71 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 16 con; 0-0 aty)
% Number of variables : 371 ( 0 sgn 339 !; 32 ?)
% 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(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,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X0,X1,X8,X9)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X4,X12)
& coll(X5,X2,X4)
& coll(X5,X1,X3)
& midp(X13,X4,X5)
& perp(X4,X5,X13,X6)
& midp(X14,X4,X1)
& perp(X4,X1,X14,X6)
& midp(X15,X5,X1)
& perp(X5,X1,X15,X6)
& perp(X5,X6,X5,X7) )
=> para(X7,X5,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02210) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X0,X1,X8,X9)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X4,X12)
& coll(X5,X2,X4)
& coll(X5,X1,X3)
& midp(X13,X4,X5)
& perp(X4,X5,X13,X6)
& midp(X14,X4,X1)
& perp(X4,X1,X14,X6)
& midp(X15,X5,X1)
& perp(X5,X1,X15,X6)
& perp(X5,X6,X5,X7) )
=> para(X7,X5,X2,X3) ),
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(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,X10,X11,X12,X13,X14,X15] :
( ~ para(X7,X5,X2,X3)
& circle(X0,X1,X8,X9)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X4,X12)
& coll(X5,X2,X4)
& coll(X5,X1,X3)
& midp(X13,X4,X5)
& perp(X4,X5,X13,X6)
& midp(X14,X4,X1)
& perp(X4,X1,X14,X6)
& midp(X15,X5,X1)
& perp(X5,X1,X15,X6)
& perp(X5,X6,X5,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ para(X7,X5,X2,X3)
& circle(X0,X1,X8,X9)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X4,X12)
& coll(X5,X2,X4)
& coll(X5,X1,X3)
& midp(X13,X4,X5)
& perp(X4,X5,X13,X6)
& midp(X14,X4,X1)
& perp(X4,X1,X14,X6)
& midp(X15,X5,X1)
& perp(X5,X1,X15,X6)
& perp(X5,X6,X5,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK27,sK25,sK22,sK23)
& circle(sK20,sK21,sK28,sK29)
& circle(sK20,sK21,sK22,sK30)
& circle(sK20,sK21,sK23,sK31)
& circle(sK20,sK21,sK24,sK32)
& coll(sK25,sK22,sK24)
& coll(sK25,sK21,sK23)
& midp(sK33,sK24,sK25)
& perp(sK24,sK25,sK33,sK26)
& midp(sK34,sK24,sK21)
& perp(sK24,sK21,sK34,sK26)
& midp(sK35,sK25,sK21)
& perp(sK25,sK21,sK35,sK26)
& perp(sK25,sK26,sK25,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35]),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),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35)],[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(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(f385,plain,
perp(sK25,sK21,sK35,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
~ para(sK27,sK25,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f398,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(f399,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,[],[f398]) ).
fof(f413,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(f415,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f413,f309]) ).
fof(f419,definition,
( spl36_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f420,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f422,definition,
( spl36_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f423,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f415,f422,f419]) ).
fof(f437,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(f450,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f437]) ).
fof(f452,plain,
perp(sK35,sK26,sK25,sK21),
inference(resolution,[],[f385,f278]) ).
fof(f454,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK21)
| para(X0,X1,sK35,sK26) ),
inference(resolution,[],[f385,f279]) ).
fof(f458,plain,
para(sK35,sK26,sK35,sK26),
inference(resolution,[],[f452,f454]) ).
fof(f462,plain,
( $false
| ~ spl36_2 ),
inference(forward_subsumption_resolution,[],[f458,f423]) ).
fof(f463,plain,
~ spl36_2,
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f465,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f450,f420]) ).
fof(f472,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f437]) ).
fof(f475,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f472,f465]) ).
fof(f478,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f475,f420]) ).
fof(f480,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl36_1 ),
inference(resolution,[],[f478,f287]) ).
fof(f484,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f480,f478]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl36_1 ),
inference(resolution,[],[f484,f399]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f487,f484]) ).
fof(f493,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f491,f484]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl36_1 ),
inference(resolution,[],[f493,f327]) ).
fof(f495,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f494,f493]) ).
fof(f496,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl36_1 ),
inference(resolution,[],[f495,f278]) ).
fof(f498,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl36_1 ),
inference(resolution,[],[f495,f279]) ).
fof(f505,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl36_1 ),
inference(resolution,[],[f496,f498]) ).
fof(f506,plain,
( $false
| ~ spl36_1 ),
inference(resolution,[],[f505,f397]) ).
fof(f507,plain,
~ spl36_1,
inference(avatar_contradiction_clause,[],[f506]) ).
cnf(s1,plain,
( spl36_1
| spl36_2 ),
inference(sat_conversion,[],[f424]) ).
cnf(s2,plain,
~ spl36_2,
inference(sat_conversion,[],[f463]) ).
cnf(s3,plain,
~ spl36_1,
inference(sat_conversion,[],[f507]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f508,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO649+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n017.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 08:39:20 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 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
% 5.76/1.84 % (2242144)Detected formulas, will run a generic FOF schedule.
% 5.76/1.84 % (2242173)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=5244490:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.76/1.84 % (2242175)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=2184525682:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.76/1.84 % (2242178)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3391602393:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.76/1.84 % (2242174)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=3104813346:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.76/1.84 % (2242177)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2326791885:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.76/1.84 % (2242176)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1649096289:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.76/1.84 % (2242179)dis-21_1_sil=8000:lcm=predicate:random_seed=1740647290: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)
% 5.76/1.84 % (2242177)Instruction limit reached!
% 5.76/1.84 % (2242177)------------------------------
% 5.76/1.84 % (2242177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.84 % (2242177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.84 % (2242177)CaDiCaL version: 2.1.3
% 5.76/1.84 % (2242177)Termination reason: Instruction limit
% 5.76/1.84 % (2242177)Termination phase: Saturation
% 5.76/1.84 % (2242177)Time elapsed: 0.097 s
% 5.76/1.84 % (2242177)Peak memory usage: 89 MB
% 5.76/1.84 % (2242177)Instructions burned: 119 (million)
% 5.76/1.84 % (2242176)Instruction limit reached!
% 5.76/1.84 % (2242176)------------------------------
% 5.76/1.84 % (2242176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.84 % (2242176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.84 % (2242176)CaDiCaL version: 2.1.3
% 5.76/1.84 % (2242176)Termination reason: Instruction limit
% 5.76/1.84 % (2242176)Termination phase: Saturation
% 5.76/1.84 % (2242176)Time elapsed: 0.110 s
% 5.76/1.84 % (2242176)Peak memory usage: 90 MB
% 5.76/1.84 % (2242176)Instructions burned: 110 (million)
% 5.76/1.84 % (2242179)Instruction limit reached!
% 5.76/1.84 % (2242179)------------------------------
% 5.76/1.84 % (2242179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.84 % (2242179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.84 % (2242179)CaDiCaL version: 2.1.3
% 5.76/1.84 % (2242179)Termination reason: Instruction limit
% 5.76/1.84 % (2242179)Termination phase: Saturation
% 5.76/1.84 % (2242179)Time elapsed: 0.120 s
% 5.76/1.84 % (2242179)Peak memory usage: 89 MB
% 5.76/1.84 % (2242179)Instructions burned: 131 (million)
% 5.76/1.84 % (2242178)Instruction limit reached!
% 5.76/1.84 % (2242178)------------------------------
% 5.76/1.84 % (2242178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.84 % (2242178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.84 % (2242178)CaDiCaL version: 2.1.3
% 5.76/1.84 % (2242178)Termination reason: Instruction limit
% 5.76/1.84 % (2242178)Termination phase: Saturation
% 5.76/1.84 % (2242178)Time elapsed: 0.132 s
% 5.76/1.84 % (2242178)Peak memory usage: 90 MB
% 5.76/1.84 % (2242178)Instructions burned: 139 (million)
% 5.76/1.84 % (2242192)lrs+10_1_sil=8000:sp=occurrence:random_seed=2429655371:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 5.76/1.84 % (2242194)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3731258515:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 5.76/1.84 % (2242196)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=2393860254:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.76/1.84 % (2242195)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3734273364:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 5.76/1.84 % (2242173)First to succeed.
% 5.76/1.84 % (2242173)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2242144"
% 5.76/1.84 % (2242194)Instruction limit reached!
% 5.76/1.84 % (2242194)------------------------------
% 5.76/1.84 % (2242194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.84 % (2242194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.84 % (2242194)CaDiCaL version: 2.1.3
% 5.76/1.84 % (2242194)Termination reason: Instruction limit
% 5.76/1.84 % (2242194)Termination phase: Saturation
% 5.76/1.84 % (2242194)Time elapsed: 0.141 s
% 5.76/1.84 % (2242194)Peak memory usage: 90 MB
% 5.76/1.84 % (2242194)Instructions burned: 157 (million)
% 5.76/1.84 % (2242196)Instruction limit reached!
% 5.76/1.84 % (2242196)------------------------------
% 5.76/1.84 % (2242196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.84 % (2242196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.84 % (2242196)CaDiCaL version: 2.1.3
% 5.76/1.84 % (2242196)Termination reason: Instruction limit
% 5.76/1.84 % (2242196)Termination phase: Saturation
% 5.76/1.84 % (2242196)Time elapsed: 0.198 s
% 5.76/1.84 % (2242196)Peak memory usage: 92 MB
% 5.76/1.84 % (2242196)Instructions burned: 248 (million)
% 5.76/1.84 % (2242192)Instruction limit reached!
% 5.76/1.84 % (2242192)------------------------------
% 5.76/1.84 % (2242192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.84 % (2242192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.84 % (2242192)CaDiCaL version: 2.1.3
% 5.76/1.84 % (2242192)Termination reason: Instruction limit
% 5.76/1.84 % (2242192)Termination phase: Saturation
% 5.76/1.84 % (2242192)Time elapsed: 0.282 s
% 5.76/1.84 % (2242192)Peak memory usage: 93 MB
% 5.76/1.84 % (2242192)Instructions burned: 286 (million)
% 5.76/1.84 % (2242173)Refutation found. Thanks to Tanya!
% 5.76/1.84 % SZS status Theorem for theBenchmark
% 5.76/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 6.97/2.04 % (2242173)------------------------------
% 6.97/2.04 % (2242173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/2.04 % (2242173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/2.04 % (2242173)CaDiCaL version: 2.1.3
% 6.97/2.04 % (2242173)Termination reason: Refutation
% 6.97/2.04 % (2242173)Time elapsed: 0.495 s
% 6.97/2.04 % (2242173)Peak memory usage: 132 MB
% 6.97/2.04 % (2242173)Instructions burned: 982 (million)
% 6.97/2.04 % (2242173)------------------------------
% 6.97/2.04 % (2242173)------------------------------
% 6.97/2.04 % (2242144)Success in time 0.896 s
% 6.97/2.04 % Vampire exiting
%------------------------------------------------------------------------------