%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO554+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 : n002.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 09:52:55 AM UTC 2026
% Result : Theorem 6.58s 1.94s
% Output : Refutation 8.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 90 ( 10 unt; 2 def)
% Number of atoms : 262 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 276 ( 104 ~; 99 |; 56 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 16 con; 0-0 aty)
% Number of variables : 383 ( 0 sgn 351 !; 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(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( perp(X2,X0,X2,X1)
& circle(X0,X2,X7,X8)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X3,X11)
& coll(X2,X3,X4)
& circle(X1,X2,X4,X12)
& coll(X1,X4,X5)
& circle(X1,X2,X5,X13)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X6,X15) )
=> coll(X3,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012014) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( perp(X2,X0,X2,X1)
& circle(X0,X2,X7,X8)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X3,X11)
& coll(X2,X3,X4)
& circle(X1,X2,X4,X12)
& coll(X1,X4,X5)
& circle(X1,X2,X5,X13)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X6,X15) )
=> coll(X3,X5,X6) ),
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(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ coll(X3,X5,X6)
& perp(X2,X0,X2,X1)
& circle(X0,X2,X7,X8)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X3,X11)
& coll(X2,X3,X4)
& circle(X1,X2,X4,X12)
& coll(X1,X4,X5)
& circle(X1,X2,X5,X13)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X6,X15) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ coll(X3,X5,X6)
& perp(X2,X0,X2,X1)
& circle(X0,X2,X7,X8)
& circle(X1,X2,X9,X10)
& circle(X0,X2,X3,X11)
& coll(X2,X3,X4)
& circle(X1,X2,X4,X12)
& coll(X1,X4,X5)
& circle(X1,X2,X5,X13)
& circle(X0,X2,X6,X14)
& circle(X1,X2,X6,X15) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ coll(sK23,sK25,sK26)
& perp(sK22,sK20,sK22,sK21)
& circle(sK20,sK22,sK27,sK28)
& circle(sK21,sK22,sK29,sK30)
& circle(sK20,sK22,sK23,sK31)
& coll(sK22,sK23,sK24)
& circle(sK21,sK22,sK24,sK32)
& coll(sK21,sK24,sK25)
& circle(sK21,sK22,sK25,sK33)
& circle(sK20,sK22,sK26,sK34)
& circle(sK21,sK22,sK26,sK35) ),
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(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f393,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ coll(sK23,sK25,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f395,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(f396,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,[],[f395]) ).
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(f417,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f413,f309]) ).
fof(f421,definition,
( spl36_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f422,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f424,definition,
( spl36_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f425,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f426,plain,
( spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f417,f424,f421]) ).
fof(f441,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(f444,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f441,f313]) ).
fof(f445,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f441,f312]) ).
fof(f454,plain,
perp(sK22,sK21,sK22,sK20),
inference(resolution,[],[f278,f393]) ).
fof(f458,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK20)
| para(X0,X1,sK22,sK21) ),
inference(resolution,[],[f279,f393]) ).
fof(f461,plain,
para(sK22,sK21,sK22,sK21),
inference(resolution,[],[f458,f454]) ).
fof(f462,plain,
( $false
| ~ spl36_2 ),
inference(forward_subsumption_resolution,[],[f461,f425]) ).
fof(f463,plain,
~ spl36_2,
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f464,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f445,f422]) ).
fof(f465,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f444,f422]) ).
fof(f466,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f465,f464]) ).
fof(f471,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl36_1 ),
inference(resolution,[],[f466,f287]) ).
fof(f475,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f471,f466]) ).
fof(f481,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl36_1 ),
inference(resolution,[],[f475,f396]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f481,f475]) ).
fof(f487,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f485,f475]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl36_1 ),
inference(resolution,[],[f487,f327]) ).
fof(f490,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f489,f487]) ).
fof(f491,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl36_1 ),
inference(resolution,[],[f490,f279]) ).
fof(f492,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl36_1 ),
inference(resolution,[],[f490,f278]) ).
fof(f495,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl36_1 ),
inference(forward_subsumption_resolution,[],[f491,f492]) ).
fof(f496,plain,
( ! [X2,X0,X1] : coll(X0,X1,X2)
| ~ spl36_1 ),
inference(resolution,[],[f495,f337]) ).
fof(f497,plain,
( $false
| ~ spl36_1 ),
inference(resolution,[],[f496,f394]) ).
fof(f498,plain,
~ spl36_1,
inference(avatar_contradiction_clause,[],[f497]) ).
cnf(s1,plain,
( spl36_1
| spl36_2 ),
inference(sat_conversion,[],[f426]) ).
cnf(s2,plain,
~ spl36_2,
inference(sat_conversion,[],[f463]) ).
cnf(s3,plain,
~ spl36_1,
inference(sat_conversion,[],[f498]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f499,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO554+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n002.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 08:33:15 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 6.58/1.94 % (3234458)Detected formulas, will run a generic FOF schedule.
% 6.58/1.94 % (3234469)dis-21_1_sil=8000:lcm=predicate:random_seed=2299369733: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)
% 6.58/1.94 % (3234466)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2559358664:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.58/1.94 % (3234467)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3508897481:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.58/1.94 % (3234463)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=594935921:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.58/1.94 % (3234464)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=353033946:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.58/1.94 % (3234465)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=668957687:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.58/1.94 % (3234466)Refutation not found, incomplete strategy
% 6.58/1.94 % (3234466)------------------------------
% 6.58/1.94 % (3234466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234466)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234466)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.94 % (3234466)Time elapsed: 0.011 s
% 6.58/1.94 % (3234466)Peak memory usage: 88 MB
% 6.58/1.94 % (3234466)Instructions burned: 17 (million)
% 6.58/1.94 % (3234469)Instruction limit reached!
% 6.58/1.94 % (3234469)------------------------------
% 6.58/1.94 % (3234469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234469)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234469)Termination reason: Instruction limit
% 6.58/1.94 % (3234469)Termination phase: Saturation
% 6.58/1.94 % (3234469)Time elapsed: 0.040 s
% 6.58/1.94 % (3234469)Peak memory usage: 89 MB
% 6.58/1.94 % (3234469)Instructions burned: 130 (million)
% 6.58/1.94 % (3234468)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3476975108:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.58/1.94 % (3234467)Instruction limit reached!
% 6.58/1.94 % (3234467)------------------------------
% 6.58/1.94 % (3234467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234467)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234467)Termination reason: Instruction limit
% 6.58/1.94 % (3234467)Termination phase: Saturation
% 6.58/1.94 % (3234467)Time elapsed: 0.070 s
% 6.58/1.94 % (3234467)Peak memory usage: 89 MB
% 6.58/1.94 % (3234467)Instructions burned: 119 (million)
% 6.58/1.94 % (3234468)Instruction limit reached!
% 6.58/1.94 % (3234468)------------------------------
% 6.58/1.94 % (3234468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234468)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234468)Termination reason: Instruction limit
% 6.58/1.94 % (3234468)Termination phase: Saturation
% 6.58/1.94 % (3234468)Time elapsed: 0.060 s
% 6.58/1.94 % (3234468)Peak memory usage: 88 MB
% 6.58/1.94 % (3234468)Instructions burned: 141 (million)
% 6.58/1.94 % (3234477)lrs+10_1_sil=8000:sp=occurrence:random_seed=377400869:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.58/1.94 % (3234478)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1953258502:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.58/1.94 % (3234466)------------------------------
% 6.58/1.94 % (3234466)------------------------------
% 6.58/1.94 % (3234477)Instruction limit reached!
% 6.58/1.94 % (3234477)------------------------------
% 6.58/1.94 % (3234477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234477)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234477)Termination reason: Instruction limit
% 6.58/1.94 % (3234477)Termination phase: Saturation
% 6.58/1.94 % (3234477)Time elapsed: 0.100 s
% 6.58/1.94 % (3234477)Peak memory usage: 93 MB
% 6.58/1.94 % (3234477)Instructions burned: 287 (million)
% 6.58/1.94 % (3234479)lrs+1011_1_sil=32000:sp=occurrence:random_seed=113120446:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.58/1.94 % (3234478)Instruction limit reached!
% 6.58/1.94 % (3234478)------------------------------
% 6.58/1.94 % (3234478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234478)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234478)Termination reason: Instruction limit
% 6.58/1.94 % (3234478)Termination phase: Saturation
% 6.58/1.94 % (3234478)Time elapsed: 0.085 s
% 6.58/1.94 % (3234478)Peak memory usage: 90 MB
% 6.58/1.94 % (3234478)Instructions burned: 157 (million)
% 6.58/1.94 % (3234482)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=31589632:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.58/1.94 % (3234479)Instruction limit reached!
% 6.58/1.94 % (3234479)------------------------------
% 6.58/1.94 % (3234479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234479)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234479)Termination reason: Instruction limit
% 6.58/1.94 % (3234479)Termination phase: Saturation
% 6.58/1.94 % (3234479)Time elapsed: 0.119 s
% 6.58/1.94 % (3234479)Peak memory usage: 88 MB
% 6.58/1.94 % (3234479)Instructions burned: 326 (million)
% 6.58/1.94 % (3234483)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2184294771:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.58/1.94 % (3234482)Instruction limit reached!
% 6.58/1.94 % (3234482)------------------------------
% 6.58/1.94 % (3234482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234482)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234482)Termination reason: Instruction limit
% 6.58/1.94 % (3234482)Termination phase: Saturation
% 6.58/1.94 % (3234482)Time elapsed: 0.076 s
% 6.58/1.94 % (3234482)Peak memory usage: 90 MB
% 6.58/1.94 % (3234482)Instructions burned: 249 (million)
% 6.58/1.94 % (3234485)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3333943112:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.58/1.94 % (3234487)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2023087695:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.58/1.94 % (3234489)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2060626870:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.58/1.94 % (3234483)Instruction limit reached!
% 6.58/1.94 % (3234483)------------------------------
% 6.58/1.94 % (3234483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234483)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234483)Termination reason: Instruction limit
% 6.58/1.94 % (3234483)Termination phase: Saturation
% 6.58/1.94 % (3234483)Time elapsed: 0.170 s
% 6.58/1.94 % (3234483)Peak memory usage: 89 MB
% 6.58/1.94 % (3234483)Instructions burned: 295 (million)
% 6.58/1.94 % (3234489)Instruction limit reached!
% 6.58/1.94 % (3234489)------------------------------
% 6.58/1.94 % (3234489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234489)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234489)Termination reason: Instruction limit
% 6.58/1.94 % (3234489)Termination phase: Saturation
% 6.58/1.94 % (3234489)Time elapsed: 0.037 s
% 6.58/1.94 % (3234489)Peak memory usage: 89 MB
% 6.58/1.94 % (3234489)Instructions burned: 128 (million)
% 6.58/1.94 % (3234487)Instruction limit reached!
% 6.58/1.94 % (3234487)------------------------------
% 6.58/1.94 % (3234487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234487)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234487)Termination reason: Instruction limit
% 6.58/1.94 % (3234487)Termination phase: Saturation
% 6.58/1.94 % (3234487)Time elapsed: 0.066 s
% 6.58/1.94 % (3234487)Peak memory usage: 90 MB
% 6.58/1.94 % (3234487)Instructions burned: 114 (million)
% 6.58/1.94 % (3234463)First to succeed.
% 6.58/1.94 % (3234463)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3234458"
% 6.58/1.94 % (3234464)Also succeeded, but the first one will report.
% 6.58/1.94 % (3234493)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2635884538:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.58/1.94 % (3234494)lrs+10_1_sil=8000:sp=occurrence:random_seed=1835215546:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.58/1.94 % (3234495)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3532968427:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.58/1.94 % (3234493)Instruction limit reached!
% 6.58/1.94 % (3234493)------------------------------
% 6.58/1.94 % (3234493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.94 % (3234493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.94 % (3234493)CaDiCaL version: 2.1.3
% 6.58/1.94 % (3234493)Termination reason: Instruction limit
% 6.58/1.94 % (3234493)Termination phase: Saturation
% 6.58/1.94 % (3234493)Time elapsed: 0.063 s
% 6.58/1.94 % (3234493)Peak memory usage: 89 MB
% 6.58/1.94 % (3234493)Instructions burned: 115 (million)
% 6.58/1.94 % (3234463)Refutation found. Thanks to Tanya!
% 6.58/1.94 % SZS status Theorem for theBenchmark
% 6.58/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 8.14/2.05 % (3234463)------------------------------
% 8.14/2.05 % (3234463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/2.05 % (3234463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/2.05 % (3234463)CaDiCaL version: 2.1.3
% 8.14/2.05 % (3234463)Termination reason: Refutation
% 8.14/2.05 % (3234463)Time elapsed: 0.659 s
% 8.14/2.05 % (3234463)Peak memory usage: 128 MB
% 8.14/2.05 % (3234463)Instructions burned: 979 (million)
% 8.14/2.05 % (3234463)------------------------------
% 8.14/2.05 % (3234463)------------------------------
% 8.14/2.05 % (3234458)Success in time 1.082 s
% 8.14/2.05 % Vampire exiting
%------------------------------------------------------------------------------