%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO633+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 : n007.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 09:53:07 AM UTC 2026
% Result : Theorem 5.96s 1.65s
% Output : Refutation 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 10 unt; 2 def)
% Number of atoms : 261 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 280 ( 111 ~; 105 |; 47 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 372 ( 0 sgn 356 !; 16 ?)
% 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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/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] :
( ( midp(X3,X2,X1)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& coll(X4,X1,X2)
& coll(X5,X0,X3)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X5,X0,X2)
& coll(X7,X0,X2) )
=> perp(X6,X7,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110996) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X3,X2,X1)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& coll(X4,X1,X2)
& coll(X5,X0,X3)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X5,X0,X2)
& coll(X7,X0,X2) )
=> perp(X6,X7,X0,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X7,X0,X4)
& midp(X3,X2,X1)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& coll(X4,X1,X2)
& coll(X5,X0,X3)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X5,X0,X2)
& coll(X7,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X7,X0,X4)
& midp(X3,X2,X1)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& coll(X4,X1,X2)
& coll(X5,X0,X3)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X5,X0,X2)
& coll(X7,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK26,sK27,sK20,sK24)
& midp(sK23,sK22,sK21)
& eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23)
& coll(sK24,sK21,sK22)
& coll(sK25,sK20,sK23)
& perp(sK26,sK25,sK20,sK21)
& coll(sK26,sK20,sK21)
& perp(sK27,sK25,sK20,sK22)
& coll(sK27,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f387,plain,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ perp(sK26,sK27,sK20,sK24),
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(f399,plain,
perp(sK20,sK21,sK26,sK25),
inference(resolution,[],[f278,f387]) ).
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(f421,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(f438,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f406]) ).
fof(f440,definition,
( spl28_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f441,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f443,definition,
( spl28_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f444,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f438,f443,f440]) ).
fof(f450,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f421]) ).
fof(f453,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f450,f444]) ).
fof(f465,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK26,sK25)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f387]) ).
fof(f472,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f421]) ).
fof(f475,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f472,f453]) ).
fof(f478,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f475,f444]) ).
fof(f479,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl28_2 ),
inference(resolution,[],[f478,f287]) ).
fof(f485,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f479,f478]) ).
fof(f488,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl28_2 ),
inference(resolution,[],[f485,f394]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f488,f485]) ).
fof(f493,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f491,f485]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl28_2 ),
inference(resolution,[],[f493,f327]) ).
fof(f495,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f494,f493]) ).
fof(f496,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl28_2 ),
inference(resolution,[],[f495,f279]) ).
fof(f497,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl28_2 ),
inference(resolution,[],[f495,f280]) ).
fof(f498,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl28_2 ),
inference(resolution,[],[f495,f278]) ).
fof(f500,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f496,f498]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl28_2 ),
inference(resolution,[],[f497,f500]) ).
fof(f507,plain,
( $false
| ~ spl28_2 ),
inference(resolution,[],[f506,f392]) ).
fof(f512,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f513,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f465,f399]) ).
fof(f514,plain,
( $false
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f513,f441]) ).
fof(f515,plain,
~ spl28_1,
inference(avatar_contradiction_clause,[],[f514]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f445]) ).
cnf(s2,plain,
~ spl28_2,
inference(sat_conversion,[],[f512]) ).
cnf(s3,plain,
~ spl28_1,
inference(sat_conversion,[],[f515]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f516,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO633+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:39:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 5.96/1.65 % (1109644)Detected formulas, will run a generic FOF schedule.
% 5.96/1.65 % (1109654)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=998222091:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.96/1.65 % (1109653)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1008952185:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.96/1.65 % (1109652)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3101555772:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.96/1.65 % (1109655)dis-21_1_sil=8000:lcm=predicate:random_seed=1859092213: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)
% 5.96/1.65 % (1109649)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=628380942:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.96/1.65 % (1109651)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=2571740006:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.96/1.65 % (1109650)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=1143010752:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.96/1.65 % (1109652)Instruction limit reached!
% 5.96/1.65 % (1109652)------------------------------
% 5.96/1.65 % (1109652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109652)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109652)Termination reason: Instruction limit
% 5.96/1.65 % (1109652)Termination phase: Saturation
% 5.96/1.65 % (1109652)Time elapsed: 0.061 s
% 5.96/1.65 % (1109652)Peak memory usage: 89 MB
% 5.96/1.65 % (1109652)Instructions burned: 110 (million)
% 5.96/1.65 % (1109653)Instruction limit reached!
% 5.96/1.65 % (1109653)------------------------------
% 5.96/1.65 % (1109653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109653)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109653)Termination reason: Instruction limit
% 5.96/1.65 % (1109653)Termination phase: Saturation
% 5.96/1.65 % (1109653)Time elapsed: 0.066 s
% 5.96/1.65 % (1109653)Peak memory usage: 88 MB
% 5.96/1.65 % (1109653)Instructions burned: 119 (million)
% 5.96/1.65 % (1109655)Instruction limit reached!
% 5.96/1.65 % (1109655)------------------------------
% 5.96/1.65 % (1109655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109655)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109655)Termination reason: Instruction limit
% 5.96/1.65 % (1109655)Termination phase: Saturation
% 5.96/1.65 % (1109655)Time elapsed: 0.073 s
% 5.96/1.65 % (1109655)Peak memory usage: 89 MB
% 5.96/1.65 % (1109655)Instructions burned: 130 (million)
% 5.96/1.65 % (1109654)Instruction limit reached!
% 5.96/1.65 % (1109654)------------------------------
% 5.96/1.65 % (1109654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109654)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109654)Termination reason: Instruction limit
% 5.96/1.65 % (1109654)Termination phase: Saturation
% 5.96/1.65 % (1109654)Time elapsed: 0.079 s
% 5.96/1.65 % (1109654)Peak memory usage: 90 MB
% 5.96/1.65 % (1109654)Instructions burned: 140 (million)
% 5.96/1.65 % (1109663)lrs+10_1_sil=8000:sp=occurrence:random_seed=1519803712:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.96/1.65 % (1109664)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1855898579:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 5.96/1.65 % (1109666)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=1003335047:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.96/1.65 % (1109665)lrs+1011_1_sil=32000:sp=occurrence:random_seed=624958458:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.96/1.65 % (1109664)Instruction limit reached!
% 5.96/1.65 % (1109664)------------------------------
% 5.96/1.65 % (1109664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109664)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109664)Termination reason: Instruction limit
% 5.96/1.65 % (1109664)Termination phase: Saturation
% 5.96/1.65 % (1109664)Time elapsed: 0.080 s
% 5.96/1.65 % (1109664)Peak memory usage: 89 MB
% 5.96/1.65 % (1109664)Instructions burned: 158 (million)
% 5.96/1.65 % (1109666)Instruction limit reached!
% 5.96/1.65 % (1109666)------------------------------
% 5.96/1.65 % (1109666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109666)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109666)Termination reason: Instruction limit
% 5.96/1.65 % (1109666)Termination phase: Saturation
% 5.96/1.65 % (1109666)Time elapsed: 0.100 s
% 5.96/1.65 % (1109666)Peak memory usage: 90 MB
% 5.96/1.65 % (1109666)Instructions burned: 252 (million)
% 5.96/1.65 % (1109663)Instruction limit reached!
% 5.96/1.65 % (1109663)------------------------------
% 5.96/1.65 % (1109663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109663)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109663)Termination reason: Instruction limit
% 5.96/1.65 % (1109663)Termination phase: Saturation
% 5.96/1.65 % (1109663)Time elapsed: 0.179 s
% 5.96/1.65 % (1109663)Peak memory usage: 92 MB
% 5.96/1.65 % (1109663)Instructions burned: 286 (million)
% 5.96/1.65 % (1109672)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=8366026:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.96/1.65 % (1109665)Instruction limit reached!
% 5.96/1.65 % (1109665)------------------------------
% 5.96/1.65 % (1109665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109665)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109665)Termination reason: Instruction limit
% 5.96/1.65 % (1109665)Termination phase: Saturation
% 5.96/1.65 % (1109665)Time elapsed: 0.203 s
% 5.96/1.65 % (1109665)Peak memory usage: 91 MB
% 5.96/1.65 % (1109665)Instructions burned: 327 (million)
% 5.96/1.65 % (1109671)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4265022893:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.96/1.65 % (1109673)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3054781579:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.96/1.65 % (1109676)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=737241090:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.96/1.65 % (1109673)Instruction limit reached!
% 5.96/1.65 % (1109673)------------------------------
% 5.96/1.65 % (1109673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109673)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109673)Termination reason: Instruction limit
% 5.96/1.65 % (1109673)Termination phase: Saturation
% 5.96/1.65 % (1109673)Time elapsed: 0.064 s
% 5.96/1.65 % (1109673)Peak memory usage: 89 MB
% 5.96/1.65 % (1109673)Instructions burned: 114 (million)
% 5.96/1.65 % (1109671)Instruction limit reached!
% 5.96/1.65 % (1109671)------------------------------
% 5.96/1.65 % (1109671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109671)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109671)Termination reason: Instruction limit
% 5.96/1.65 % (1109671)Termination phase: Saturation
% 5.96/1.65 % (1109671)Time elapsed: 0.172 s
% 5.96/1.65 % (1109671)Peak memory usage: 89 MB
% 5.96/1.65 % (1109671)Instructions burned: 295 (million)
% 5.96/1.65 % (1109676)Instruction limit reached!
% 5.96/1.65 % (1109676)------------------------------
% 5.96/1.65 % (1109676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109676)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109676)Termination reason: Instruction limit
% 5.96/1.65 % (1109676)Termination phase: Saturation
% 5.96/1.65 % (1109676)Time elapsed: 0.070 s
% 5.96/1.65 % (1109676)Peak memory usage: 89 MB
% 5.96/1.65 % (1109676)Instructions burned: 127 (million)
% 5.96/1.65 % (1109649)First to succeed.
% 5.96/1.65 % (1109649)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1109644"
% 5.96/1.65 % (1109679)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2765110891:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.96/1.65 % (1109680)lrs+10_1_sil=8000:sp=occurrence:random_seed=3808794998:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.96/1.65 % (1109681)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2327469945:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.96/1.65 % (1109681)Refutation not found, incomplete strategy
% 5.96/1.65 % (1109681)------------------------------
% 5.96/1.65 % (1109681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109681)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109681)Termination reason: Refutation not found, incomplete strategy
% 5.96/1.65 % (1109681)Time elapsed: 0.003 s
% 5.96/1.65 % (1109681)Peak memory usage: 88 MB
% 5.96/1.65 % (1109681)Instructions burned: 3 (million)
% 5.96/1.65 % (1109679)Instruction limit reached!
% 5.96/1.65 % (1109679)------------------------------
% 5.96/1.65 % (1109679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.65 % (1109679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.65 % (1109679)CaDiCaL version: 2.1.3
% 5.96/1.65 % (1109679)Termination reason: Instruction limit
% 5.96/1.65 % (1109679)Termination phase: Saturation
% 5.96/1.65 % (1109679)Time elapsed: 0.062 s
% 5.96/1.65 % (1109679)Peak memory usage: 89 MB
% 5.96/1.65 % (1109679)Instructions burned: 115 (million)
% 5.96/1.65 % (1109672)Also succeeded, but the first one will report.
% 5.96/1.65 % (1109685)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3944097284:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 5.96/1.65 % (1109649)Refutation found. Thanks to Tanya!
% 5.96/1.65 % SZS status Theorem for theBenchmark
% 5.96/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 7.67/1.84 % (1109649)------------------------------
% 7.67/1.84 % (1109649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/1.84 % (1109649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.84 % (1109649)CaDiCaL version: 2.1.3
% 7.67/1.84 % (1109649)Termination reason: Refutation
% 7.67/1.84 % (1109649)Time elapsed: 0.645 s
% 7.67/1.84 % (1109649)Peak memory usage: 130 MB
% 7.67/1.84 % (1109649)Instructions burned: 981 (million)
% 7.67/1.84 % (1109649)------------------------------
% 7.67/1.84 % (1109649)------------------------------
% 7.67/1.84 % (1109644)Success in time 1.035 s
% 7.67/1.84 % Vampire exiting
%------------------------------------------------------------------------------