%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO634+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 : n016.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 6.47s 1.96s
% Output : Refutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 10 unt; 2 def)
% Number of atoms : 281 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 300 ( 111 ~; 105 |; 67 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 388 ( 0 sgn 364 !; 24 ?)
% 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,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X5,X10)
& coll(X5,X0,X4)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& circle(X3,X0,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X6)
& perp(X8,X6,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X6,X0,X1)
& coll(X9,X0,X1) )
=> perp(X8,X9,X5,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110997) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X5,X10)
& coll(X5,X0,X4)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& circle(X3,X0,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X6)
& perp(X8,X6,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X6,X0,X1)
& coll(X9,X0,X1) )
=> perp(X8,X9,X5,X0) ),
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,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X5,X10)
& coll(X5,X0,X4)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& circle(X3,X0,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X6)
& perp(X8,X6,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X6,X0,X1)
& coll(X9,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X5,X10)
& coll(X5,X0,X4)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& circle(X3,X0,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X6)
& perp(X8,X6,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X6,X0,X1)
& coll(X9,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK28,sK29,sK25,sK20)
& circle(sK23,sK20,sK21,sK22)
& midp(sK24,sK22,sK21)
& circle(sK23,sK20,sK25,sK30)
& coll(sK25,sK20,sK24)
& eqangle(sK26,sK20,sK20,sK21,sK22,sK20,sK20,sK24)
& circle(sK23,sK20,sK26,sK31)
& coll(sK27,sK21,sK22)
& coll(sK27,sK20,sK26)
& perp(sK28,sK26,sK21,sK22)
& coll(sK28,sK21,sK22)
& perp(sK29,sK26,sK20,sK21)
& coll(sK29,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),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)],[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(f385,plain,
perp(sK29,sK26,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f396,plain,
~ perp(sK28,sK29,sK25,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f397,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(f398,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,[],[f397]) ).
fof(f401,plain,
perp(sK20,sK21,sK29,sK26),
inference(resolution,[],[f278,f385]) ).
fof(f415,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(f430,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f443,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f415]) ).
fof(f445,definition,
( spl32_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f446,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f448,definition,
( spl32_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl32_2])],[avatar_definition]) ).
fof(f449,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f450,plain,
( spl32_1
| spl32_2 ),
inference(avatar_split_clause,[],[f443,f448,f445]) ).
fof(f460,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK29,sK26)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f385]) ).
fof(f470,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f430]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f470,f449]) ).
fof(f476,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f460,f401]) ).
fof(f481,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f430]) ).
fof(f484,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f481,f473]) ).
fof(f487,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f484,f449]) ).
fof(f488,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl32_2 ),
inference(resolution,[],[f487,f287]) ).
fof(f494,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f488,f487]) ).
fof(f497,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl32_2 ),
inference(resolution,[],[f494,f398]) ).
fof(f500,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f497,f494]) ).
fof(f502,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f500,f494]) ).
fof(f503,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl32_2 ),
inference(resolution,[],[f502,f327]) ).
fof(f504,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f503,f502]) ).
fof(f505,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl32_2 ),
inference(resolution,[],[f504,f279]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl32_2 ),
inference(resolution,[],[f504,f280]) ).
fof(f507,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl32_2 ),
inference(resolution,[],[f504,f278]) ).
fof(f510,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f505,f507]) ).
fof(f516,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl32_2 ),
inference(resolution,[],[f506,f510]) ).
fof(f517,plain,
( $false
| ~ spl32_2 ),
inference(resolution,[],[f516,f396]) ).
fof(f523,plain,
~ spl32_2,
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f524,plain,
( $false
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f476,f446]) ).
fof(f525,plain,
~ spl32_1,
inference(avatar_contradiction_clause,[],[f524]) ).
cnf(s1,plain,
( spl32_1
| spl32_2 ),
inference(sat_conversion,[],[f450]) ).
cnf(s2,plain,
~ spl32_2,
inference(sat_conversion,[],[f523]) ).
cnf(s3,plain,
~ spl32_1,
inference(sat_conversion,[],[f525]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f526,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO634+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.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 08:46:32 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
% 6.47/1.96 % (2328891)Detected formulas, will run a generic FOF schedule.
% 6.47/1.96 % (2328902)dis-21_1_sil=8000:lcm=predicate:random_seed=3053265876: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)
% 6.47/1.96 % (2328902)Instruction limit reached!
% 6.47/1.96 % (2328902)------------------------------
% 6.47/1.96 % (2328902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328902)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328902)Termination reason: Instruction limit
% 6.47/1.96 % (2328902)Termination phase: Saturation
% 6.47/1.96 % (2328902)Time elapsed: 0.039 s
% 6.47/1.96 % (2328902)Peak memory usage: 89 MB
% 6.47/1.96 % (2328902)Instructions burned: 129 (million)
% 6.47/1.96 % (2328896)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=2928726738:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.47/1.96 % (2328900)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3653682031:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.47/1.96 % (2328899)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1735458948:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.47/1.96 % (2328898)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=532673878:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.47/1.96 % (2328897)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=3913362811:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.47/1.96 % (2328901)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1171045682:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.47/1.96 % (2328899)Instruction limit reached!
% 6.47/1.96 % (2328899)------------------------------
% 6.47/1.96 % (2328899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328899)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328899)Termination reason: Instruction limit
% 6.47/1.96 % (2328899)Termination phase: Saturation
% 6.47/1.96 % (2328899)Time elapsed: 0.067 s
% 6.47/1.96 % (2328899)Peak memory usage: 89 MB
% 6.47/1.96 % (2328899)Instructions burned: 109 (million)
% 6.47/1.96 % (2328900)Instruction limit reached!
% 6.47/1.96 % (2328900)------------------------------
% 6.47/1.96 % (2328900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328900)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328900)Termination reason: Instruction limit
% 6.47/1.96 % (2328900)Termination phase: Saturation
% 6.47/1.96 % (2328900)Time elapsed: 0.069 s
% 6.47/1.96 % (2328900)Peak memory usage: 88 MB
% 6.47/1.96 % (2328900)Instructions burned: 119 (million)
% 6.47/1.96 % (2328901)Instruction limit reached!
% 6.47/1.96 % (2328901)------------------------------
% 6.47/1.96 % (2328901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328901)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328901)Termination reason: Instruction limit
% 6.47/1.96 % (2328901)Termination phase: Saturation
% 6.47/1.96 % (2328901)Time elapsed: 0.075 s
% 6.47/1.96 % (2328901)Peak memory usage: 89 MB
% 6.47/1.96 % (2328901)Instructions burned: 140 (million)
% 6.47/1.96 % (2328910)lrs+10_1_sil=8000:sp=occurrence:random_seed=570375814:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.47/1.96 % (2328910)Instruction limit reached!
% 6.47/1.96 % (2328910)------------------------------
% 6.47/1.96 % (2328910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328910)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328910)Termination reason: Instruction limit
% 6.47/1.96 % (2328910)Termination phase: Saturation
% 6.47/1.96 % (2328910)Time elapsed: 0.101 s
% 6.47/1.96 % (2328910)Peak memory usage: 93 MB
% 6.47/1.96 % (2328910)Instructions burned: 287 (million)
% 6.47/1.96 % (2328911)lrs+10_1_sil=32000:urr=on:br=off:random_seed=306415293:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.47/1.96 % (2328913)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=1502242384:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.47/1.96 % (2328912)lrs+1011_1_sil=32000:sp=occurrence:random_seed=747510415:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.47/1.96 % (2328911)Instruction limit reached!
% 6.47/1.96 % (2328911)------------------------------
% 6.47/1.96 % (2328911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328911)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328911)Termination reason: Instruction limit
% 6.47/1.96 % (2328911)Termination phase: Saturation
% 6.47/1.96 % (2328911)Time elapsed: 0.086 s
% 6.47/1.96 % (2328911)Peak memory usage: 90 MB
% 6.47/1.96 % (2328911)Instructions burned: 159 (million)
% 6.47/1.96 % (2328915)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2246867394:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.47/1.96 % (2328913)Instruction limit reached!
% 6.47/1.96 % (2328913)------------------------------
% 6.47/1.96 % (2328913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328913)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328913)Termination reason: Instruction limit
% 6.47/1.96 % (2328913)Termination phase: Saturation
% 6.47/1.96 % (2328913)Time elapsed: 0.138 s
% 6.47/1.96 % (2328913)Peak memory usage: 90 MB
% 6.47/1.96 % (2328913)Instructions burned: 250 (million)
% 6.47/1.96 % (2328915)Instruction limit reached!
% 6.47/1.96 % (2328915)------------------------------
% 6.47/1.96 % (2328915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328915)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328915)Termination reason: Instruction limit
% 6.47/1.96 % (2328915)Termination phase: Saturation
% 6.47/1.96 % (2328915)Time elapsed: 0.092 s
% 6.47/1.96 % (2328915)Peak memory usage: 89 MB
% 6.47/1.96 % (2328915)Instructions burned: 297 (million)
% 6.47/1.96 % (2328912)Instruction limit reached!
% 6.47/1.96 % (2328912)------------------------------
% 6.47/1.96 % (2328912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328912)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328912)Termination reason: Instruction limit
% 6.47/1.96 % (2328912)Termination phase: Saturation
% 6.47/1.96 % (2328912)Time elapsed: 0.216 s
% 6.47/1.96 % (2328912)Peak memory usage: 92 MB
% 6.47/1.96 % (2328912)Instructions burned: 326 (million)
% 6.47/1.96 % (2328919)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1667161558:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.47/1.96 % (2328921)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4050886613:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.47/1.96 % (2328922)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1113400927:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.47/1.96 % (2328921)Instruction limit reached!
% 6.47/1.96 % (2328921)------------------------------
% 6.47/1.96 % (2328921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328921)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328921)Termination reason: Instruction limit
% 6.47/1.96 % (2328921)Termination phase: Saturation
% 6.47/1.96 % (2328921)Time elapsed: 0.068 s
% 6.47/1.96 % (2328921)Peak memory usage: 89 MB
% 6.47/1.96 % (2328921)Instructions burned: 115 (million)
% 6.47/1.96 % (2328923)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=507169281:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.47/1.96 % (2328922)Instruction limit reached!
% 6.47/1.96 % (2328922)------------------------------
% 6.47/1.96 % (2328922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328922)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328922)Termination reason: Instruction limit
% 6.47/1.96 % (2328922)Termination phase: Saturation
% 6.47/1.96 % (2328922)Time elapsed: 0.038 s
% 6.47/1.96 % (2328922)Peak memory usage: 89 MB
% 6.47/1.96 % (2328922)Instructions burned: 128 (million)
% 6.47/1.96 % (2328896)First to succeed.
% 6.47/1.96 % (2328896)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2328891"
% 6.47/1.96 % (2328923)Instruction limit reached!
% 6.47/1.96 % (2328923)------------------------------
% 6.47/1.96 % (2328923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328923)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328923)Termination reason: Instruction limit
% 6.47/1.96 % (2328923)Termination phase: Saturation
% 6.47/1.96 % (2328923)Time elapsed: 0.065 s
% 6.47/1.96 % (2328923)Peak memory usage: 89 MB
% 6.47/1.96 % (2328923)Instructions burned: 115 (million)
% 6.47/1.96 % (2328897)Also succeeded, but the first one will report.
% 6.47/1.96 % (2328929)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4037358845:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.47/1.96 % (2328927)lrs+10_1_sil=8000:sp=occurrence:random_seed=1397329144:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.47/1.96 % (2328929)Refutation not found, incomplete strategy
% 6.47/1.96 % (2328929)------------------------------
% 6.47/1.96 % (2328929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.96 % (2328929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.96 % (2328929)CaDiCaL version: 2.1.3
% 6.47/1.96 % (2328929)Termination reason: Refutation not found, incomplete strategy
% 6.47/1.96 % (2328929)Time elapsed: 0.053 s
% 6.47/1.96 % (2328929)Peak memory usage: 89 MB
% 6.47/1.96 % (2328929)Instructions burned: 153 (million)
% 6.47/1.96 % (2328930)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=374496081:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.47/1.96 % (2328929)------------------------------
% 6.47/1.96 % (2328929)------------------------------
% 6.47/1.96 % (2328896)Refutation found. Thanks to Tanya!
% 6.47/1.96 % SZS status Theorem for theBenchmark
% 6.47/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.38/2.15 % (2328896)------------------------------
% 8.38/2.15 % (2328896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/2.15 % (2328896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/2.15 % (2328896)CaDiCaL version: 2.1.3
% 8.38/2.15 % (2328896)Termination reason: Refutation
% 8.38/2.15 % (2328896)Time elapsed: 0.659 s
% 8.38/2.15 % (2328896)Peak memory usage: 128 MB
% 8.38/2.15 % (2328896)Instructions burned: 983 (million)
% 8.38/2.15 % (2328896)------------------------------
% 8.38/2.15 % (2328896)------------------------------
% 8.38/2.15 % (2328891)Success in time 1.103 s
% 8.38/2.15 % Vampire exiting
%------------------------------------------------------------------------------