%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO660+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:53:11 AM UTC 2026
% Result : Theorem 4.51s 1.91s
% Output : Refutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 85 ( 10 unt; 2 def)
% Number of atoms : 245 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 259 ( 99 ~; 93 |; 51 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 332 ( 0 sgn 318 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& coll(X4,X2,X3)
& coll(X5,X0,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& coll(X6,X1,X2)
& coll(X6,X0,X4) )
=> para(X4,X5,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo7Book00EE02E02319) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& coll(X4,X2,X3)
& coll(X5,X0,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& coll(X6,X1,X2)
& coll(X6,X0,X4) )
=> para(X4,X5,X2,X1) ),
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] :
( ~ para(X4,X5,X2,X1)
& perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& coll(X4,X2,X3)
& coll(X5,X0,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& coll(X6,X1,X2)
& coll(X6,X0,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X4,X5,X2,X1)
& perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& coll(X4,X2,X3)
& coll(X5,X0,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& coll(X6,X1,X2)
& coll(X6,X0,X4) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK24,sK25,sK22,sK21)
& perp(sK22,sK20,sK22,sK21)
& perp(sK23,sK22,sK20,sK21)
& coll(sK23,sK20,sK21)
& coll(sK24,sK22,sK23)
& coll(sK25,sK20,sK21)
& eqangle(sK21,sK20,sK20,sK24,sK24,sK20,sK20,sK22)
& eqangle(sK23,sK22,sK22,sK25,sK25,sK22,sK22,sK21)
& coll(sK26,sK21,sK22)
& coll(sK26,sK20,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[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(f392,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ para(sK24,sK25,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f394,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(f395,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,[],[f394]) ).
fof(f397,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK20)
| para(X0,X1,sK22,sK21) ),
inference(resolution,[],[f392,f279]) ).
fof(f407,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f413,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f413,f313]) ).
fof(f439,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f407,f309]) ).
fof(f445,definition,
( spl27_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f446,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f448,definition,
( spl27_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f449,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f450,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f439,f448,f445]) ).
fof(f459,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f413]) ).
fof(f461,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) ),
inference(forward_subsumption_resolution,[],[f459,f423]) ).
fof(f464,plain,
perp(sK22,sK21,sK22,sK20),
inference(resolution,[],[f278,f392]) ).
fof(f466,plain,
para(sK22,sK21,sK22,sK21),
inference(resolution,[],[f464,f397]) ).
fof(f470,plain,
( $false
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f466,f449]) ).
fof(f471,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f475,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f461,f446]) ).
fof(f476,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f475,f287]) ).
fof(f482,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f476,f475]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(resolution,[],[f482,f395]) ).
fof(f488,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f485,f482]) ).
fof(f490,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f488,f482]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl27_1 ),
inference(resolution,[],[f490,f327]) ).
fof(f492,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f491,f490]) ).
fof(f493,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl27_1 ),
inference(resolution,[],[f492,f278]) ).
fof(f495,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f492,f279]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(resolution,[],[f493,f495]) ).
fof(f504,plain,
( $false
| ~ spl27_1 ),
inference(resolution,[],[f503,f393]) ).
fof(f506,plain,
~ spl27_1,
inference(avatar_contradiction_clause,[],[f504]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f450]) ).
cnf(s2,plain,
~ spl27_2,
inference(sat_conversion,[],[f471]) ).
cnf(s3,plain,
~ spl27_1,
inference(sat_conversion,[],[f506]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f507,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO660+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 08:47:09 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.51/1.91 % (2036538)Detected formulas, will run a generic FOF schedule.
% 4.51/1.91 % (2036547)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3955062852:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.51/1.91 % (2036547)Instruction limit reached!
% 4.51/1.91 % (2036547)------------------------------
% 4.51/1.91 % (2036547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036547)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036547)Termination reason: Instruction limit
% 4.51/1.91 % (2036547)Termination phase: Saturation
% 4.51/1.91 % (2036547)Time elapsed: 0.036 s
% 4.51/1.91 % (2036547)Peak memory usage: 88 MB
% 4.51/1.91 % (2036547)Instructions burned: 121 (million)
% 4.51/1.91 % (2036546)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3832355962:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.51/1.91 % (2036543)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=1572730614:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.51/1.91 % (2036548)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1658646428:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.51/1.91 % (2036544)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=2380169660:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.51/1.91 % (2036545)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=4144585239:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.51/1.91 % (2036549)dis-21_1_sil=8000:lcm=predicate:random_seed=4145271631: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)
% 4.51/1.91 % (2036546)Instruction limit reached!
% 4.51/1.91 % (2036546)------------------------------
% 4.51/1.91 % (2036546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036546)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036546)Termination reason: Instruction limit
% 4.51/1.91 % (2036546)Termination phase: Saturation
% 4.51/1.91 % (2036546)Time elapsed: 0.068 s
% 4.51/1.91 % (2036546)Peak memory usage: 89 MB
% 4.51/1.91 % (2036546)Instructions burned: 110 (million)
% 4.51/1.91 % (2036549)Instruction limit reached!
% 4.51/1.91 % (2036549)------------------------------
% 4.51/1.91 % (2036549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036549)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036549)Termination reason: Instruction limit
% 4.51/1.91 % (2036549)Termination phase: Saturation
% 4.51/1.91 % (2036549)Time elapsed: 0.074 s
% 4.51/1.91 % (2036549)Peak memory usage: 89 MB
% 4.51/1.91 % (2036549)Instructions burned: 129 (million)
% 4.51/1.91 % (2036553)lrs+10_1_sil=8000:sp=occurrence:random_seed=2769147189:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.51/1.91 % (2036548)Instruction limit reached!
% 4.51/1.91 % (2036548)------------------------------
% 4.51/1.91 % (2036548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036548)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036548)Termination reason: Instruction limit
% 4.51/1.91 % (2036548)Termination phase: Saturation
% 4.51/1.91 % (2036548)Time elapsed: 0.100 s
% 4.51/1.91 % (2036548)Peak memory usage: 89 MB
% 4.51/1.91 % (2036548)Instructions burned: 140 (million)
% 4.51/1.91 % (2036553)Instruction limit reached!
% 4.51/1.91 % (2036553)------------------------------
% 4.51/1.91 % (2036553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036553)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036553)Termination reason: Instruction limit
% 4.51/1.91 % (2036553)Termination phase: Saturation
% 4.51/1.91 % (2036553)Time elapsed: 0.110 s
% 4.51/1.91 % (2036553)Peak memory usage: 91 MB
% 4.51/1.91 % (2036553)Instructions burned: 285 (million)
% 4.51/1.91 % (2036560)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4124475209:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.51/1.91 % (2036558)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3088008339:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.51/1.91 % (2036561)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=2120918722:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.51/1.91 % (2036562)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1754930894:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.51/1.91 % (2036558)Instruction limit reached!
% 4.51/1.91 % (2036558)------------------------------
% 4.51/1.91 % (2036558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036558)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036558)Termination reason: Instruction limit
% 4.51/1.91 % (2036558)Termination phase: Saturation
% 4.51/1.91 % (2036558)Time elapsed: 0.087 s
% 4.51/1.91 % (2036558)Peak memory usage: 90 MB
% 4.51/1.91 % (2036558)Instructions burned: 158 (million)
% 4.51/1.91 % (2036561)Instruction limit reached!
% 4.51/1.91 % (2036561)------------------------------
% 4.51/1.91 % (2036561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036561)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036561)Termination reason: Instruction limit
% 4.51/1.91 % (2036561)Termination phase: Saturation
% 4.51/1.91 % (2036561)Time elapsed: 0.142 s
% 4.51/1.91 % (2036561)Peak memory usage: 90 MB
% 4.51/1.91 % (2036561)Instructions burned: 249 (million)
% 4.51/1.91 % (2036562)Instruction limit reached!
% 4.51/1.91 % (2036562)------------------------------
% 4.51/1.91 % (2036562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036562)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036562)Termination reason: Instruction limit
% 4.51/1.91 % (2036562)Termination phase: Saturation
% 4.51/1.91 % (2036562)Time elapsed: 0.089 s
% 4.51/1.91 % (2036562)Peak memory usage: 89 MB
% 4.51/1.91 % (2036562)Instructions burned: 296 (million)
% 4.51/1.91 % (2036560)Instruction limit reached!
% 4.51/1.91 % (2036560)------------------------------
% 4.51/1.91 % (2036560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036560)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036560)Termination reason: Instruction limit
% 4.51/1.91 % (2036560)Termination phase: Saturation
% 4.51/1.91 % (2036560)Time elapsed: 0.209 s
% 4.51/1.91 % (2036560)Peak memory usage: 92 MB
% 4.51/1.91 % (2036560)Instructions burned: 325 (million)
% 4.51/1.91 % (2036567)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=630045037:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.51/1.91 % (2036569)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1642184320:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.51/1.91 % (2036569)Instruction limit reached!
% 4.51/1.91 % (2036569)------------------------------
% 4.51/1.91 % (2036569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036569)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036569)Termination reason: Instruction limit
% 4.51/1.91 % (2036569)Termination phase: Saturation
% 4.51/1.91 % (2036569)Time elapsed: 0.038 s
% 4.51/1.91 % (2036569)Peak memory usage: 89 MB
% 4.51/1.91 % (2036569)Instructions burned: 129 (million)
% 4.51/1.91 % (2036568)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3095776543:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.51/1.91 % (2036570)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2620298744:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.51/1.91 % (2036568)Instruction limit reached!
% 4.51/1.91 % (2036568)------------------------------
% 4.51/1.91 % (2036568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036568)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036568)Termination reason: Instruction limit
% 4.51/1.91 % (2036568)Termination phase: Saturation
% 4.51/1.91 % (2036568)Time elapsed: 0.063 s
% 4.51/1.91 % (2036568)Peak memory usage: 89 MB
% 4.51/1.91 % (2036568)Instructions burned: 114 (million)
% 4.51/1.91 % (2036574)lrs+10_1_sil=8000:sp=occurrence:random_seed=243939250:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 4.51/1.91 % (2036570)Instruction limit reached!
% 4.51/1.91 % (2036570)------------------------------
% 4.51/1.91 % (2036570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036570)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036570)Termination reason: Instruction limit
% 4.51/1.91 % (2036570)Termination phase: Saturation
% 4.51/1.91 % (2036570)Time elapsed: 0.060 s
% 4.51/1.91 % (2036570)Peak memory usage: 89 MB
% 4.51/1.91 % (2036570)Instructions burned: 114 (million)
% 4.51/1.91 % (2036543)First to succeed.
% 4.51/1.91 % (2036543)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2036538"
% 4.51/1.91 % (2036576)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=42710986:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 4.51/1.91 % (2036578)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2338510310:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 4.51/1.91 % (2036574)Instruction limit reached!
% 4.51/1.91 % (2036574)------------------------------
% 4.51/1.91 % (2036574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.91 % (2036574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.91 % (2036574)CaDiCaL version: 2.1.3
% 4.51/1.91 % (2036574)Termination reason: Instruction limit
% 4.51/1.91 % (2036574)Termination phase: Saturation
% 4.51/1.91 % (2036574)Time elapsed: 0.290 s
% 4.51/1.91 % (2036574)Peak memory usage: 97 MB
% 4.51/1.91 % (2036574)Instructions burned: 908 (million)
% 4.51/1.91 % (2036543)Refutation found. Thanks to Tanya!
% 4.51/1.91 % SZS status Theorem for theBenchmark
% 4.51/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 8.06/2.10 % (2036543)------------------------------
% 8.06/2.10 % (2036543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/2.10 % (2036543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/2.10 % (2036543)CaDiCaL version: 2.1.3
% 8.06/2.10 % (2036543)Termination reason: Refutation
% 8.06/2.10 % (2036543)Time elapsed: 0.653 s
% 8.06/2.10 % (2036543)Peak memory usage: 131 MB
% 8.06/2.10 % (2036543)Instructions burned: 983 (million)
% 8.06/2.10 % (2036543)------------------------------
% 8.06/2.10 % (2036543)------------------------------
% 8.06/2.10 % (2036538)Success in time 1.062 s
% 8.06/2.10 % Vampire exiting
%------------------------------------------------------------------------------