%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO640+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 09:53:08 AM UTC 2026
% Result : Theorem 6.67s 1.96s
% Output : Refutation 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 8 unt; 2 def)
% Number of atoms : 277 ( 0 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 277 ( 71 ~; 65 |; 127 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 31 ( 31 usr; 30 con; 0-4 aty)
% Number of variables : 379 ( 0 sgn 317 !; 62 ?)
% 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(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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( coll(X5,X0,X1)
& coll(X5,X3,X4)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& coll(X8,X2,X3)
& coll(X8,X0,X4)
& coll(X9,X0,X1)
& coll(X9,X2,X3)
& circle(X10,X3,X5,X9)
& circle(X11,X9,X8,X0)
& circle(X12,X8,X7,X2)
& circle(X13,X6,X7,X4)
& circle(X14,X6,X1,X5)
& circle(X10,X3,X15,X20)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X16,X22)
& circle(X11,X0,X16,X23)
& circle(X11,X0,X17,X24)
& circle(X12,X2,X17,X25)
& circle(X12,X2,X18,X26)
& circle(X13,X4,X18,X27)
& circle(X13,X4,X19,X28)
& circle(X14,X1,X19,X29) )
=> cyclic(X16,X17,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109106) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( coll(X5,X0,X1)
& coll(X5,X3,X4)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& coll(X8,X2,X3)
& coll(X8,X0,X4)
& coll(X9,X0,X1)
& coll(X9,X2,X3)
& circle(X10,X3,X5,X9)
& circle(X11,X9,X8,X0)
& circle(X12,X8,X7,X2)
& circle(X13,X6,X7,X4)
& circle(X14,X6,X1,X5)
& circle(X10,X3,X15,X20)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X16,X22)
& circle(X11,X0,X16,X23)
& circle(X11,X0,X17,X24)
& circle(X12,X2,X17,X25)
& circle(X12,X2,X18,X26)
& circle(X13,X4,X18,X27)
& circle(X13,X4,X19,X28)
& circle(X14,X1,X19,X29) )
=> cyclic(X16,X17,X18,X19) ),
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(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(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ~ cyclic(X16,X17,X18,X19)
& coll(X5,X0,X1)
& coll(X5,X3,X4)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& coll(X8,X2,X3)
& coll(X8,X0,X4)
& coll(X9,X0,X1)
& coll(X9,X2,X3)
& circle(X10,X3,X5,X9)
& circle(X11,X9,X8,X0)
& circle(X12,X8,X7,X2)
& circle(X13,X6,X7,X4)
& circle(X14,X6,X1,X5)
& circle(X10,X3,X15,X20)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X16,X22)
& circle(X11,X0,X16,X23)
& circle(X11,X0,X17,X24)
& circle(X12,X2,X17,X25)
& circle(X12,X2,X18,X26)
& circle(X13,X4,X18,X27)
& circle(X13,X4,X19,X28)
& circle(X14,X1,X19,X29) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ~ cyclic(X16,X17,X18,X19)
& coll(X5,X0,X1)
& coll(X5,X3,X4)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& coll(X8,X2,X3)
& coll(X8,X0,X4)
& coll(X9,X0,X1)
& coll(X9,X2,X3)
& circle(X10,X3,X5,X9)
& circle(X11,X9,X8,X0)
& circle(X12,X8,X7,X2)
& circle(X13,X6,X7,X4)
& circle(X14,X6,X1,X5)
& circle(X10,X3,X15,X20)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X16,X22)
& circle(X11,X0,X16,X23)
& circle(X11,X0,X17,X24)
& circle(X12,X2,X17,X25)
& circle(X12,X2,X18,X26)
& circle(X13,X4,X18,X27)
& circle(X13,X4,X19,X28)
& circle(X14,X1,X19,X29) ),
inference(flattening,[],[f249]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f270,plain,
( ~ cyclic(sK36,sK37,sK38,sK39)
& coll(sK25,sK20,sK21)
& coll(sK25,sK23,sK24)
& coll(sK26,sK21,sK22)
& coll(sK26,sK23,sK24)
& coll(sK27,sK21,sK22)
& coll(sK27,sK20,sK24)
& coll(sK28,sK22,sK23)
& coll(sK28,sK20,sK24)
& coll(sK29,sK20,sK21)
& coll(sK29,sK22,sK23)
& circle(sK30,sK23,sK25,sK29)
& circle(sK31,sK29,sK28,sK20)
& circle(sK32,sK28,sK27,sK22)
& circle(sK33,sK26,sK27,sK24)
& circle(sK34,sK26,sK21,sK25)
& circle(sK30,sK23,sK35,sK40)
& circle(sK34,sK21,sK35,sK41)
& circle(sK30,sK23,sK36,sK42)
& circle(sK31,sK20,sK36,sK43)
& circle(sK31,sK20,sK37,sK44)
& circle(sK32,sK22,sK37,sK45)
& circle(sK32,sK22,sK38,sK46)
& circle(sK33,sK24,sK38,sK47)
& circle(sK33,sK24,sK39,sK48)
& circle(sK34,sK21,sK39,sK49) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49]),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),skolemize(X16,sK36),skolemize(X17,sK37),skolemize(X18,sK38),skolemize(X19,sK39),skolemize(X20,sK40),skolemize(X21,sK41),skolemize(X22,sK42),skolemize(X23,sK43),skolemize(X24,sK44),skolemize(X25,sK45),skolemize(X26,sK46),skolemize(X27,sK47),skolemize(X28,sK48),skolemize(X29,sK49)],[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(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(f370,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
fof(f391,plain,
circle(sK30,sK23,sK36,sK42),
inference(cnf_transformation,[],[f270]) ).
fof(f409,plain,
~ cyclic(sK36,sK37,sK38,sK39),
inference(cnf_transformation,[],[f270]) ).
fof(f419,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(f422,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f419,f309]) ).
fof(f426,definition,
( spl50_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl50_1])],[avatar_definition]) ).
fof(f427,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl50_1 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f429,definition,
( spl50_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl50_2])],[avatar_definition]) ).
fof(f430,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f431,plain,
( spl50_1
| spl50_2 ),
inference(avatar_split_clause,[],[f422,f429,f426]) ).
fof(f443,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(f445,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f443,f312]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f443,f313]) ).
fof(f460,plain,
! [X2,X3,X0,X1] :
( perp(X1,X0,sK11(X1,X2,X3,X0),X1)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f370,f278]) ).
fof(f462,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,sK11(X2,X3,X4,X5),X2)
| para(X0,X1,X2,X5)
| ~ circle(X5,X2,X3,X4) ),
inference(resolution,[],[f279,f370]) ).
fof(f496,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f460,f462]) ).
fof(f501,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f496]) ).
fof(f502,plain,
( ! [X2,X3,X0,X1] : ~ circle(X0,X1,X2,X3)
| ~ spl50_2 ),
inference(forward_subsumption_resolution,[],[f501,f430]) ).
fof(f503,plain,
( $false
| ~ spl50_2 ),
inference(resolution,[],[f502,f391]) ).
fof(f532,plain,
~ spl50_2,
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f533,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl50_1 ),
inference(forward_subsumption_resolution,[],[f446,f427]) ).
fof(f534,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl50_1 ),
inference(forward_subsumption_resolution,[],[f445,f427]) ).
fof(f535,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl50_1 ),
inference(forward_subsumption_resolution,[],[f534,f533]) ).
fof(f540,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl50_1 ),
inference(resolution,[],[f535,f287]) ).
fof(f542,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl50_1 ),
inference(forward_subsumption_resolution,[],[f540,f535]) ).
fof(f544,plain,
( $false
| ~ spl50_1 ),
inference(resolution,[],[f542,f409]) ).
fof(f550,plain,
~ spl50_1,
inference(avatar_contradiction_clause,[],[f544]) ).
cnf(s1,plain,
( spl50_1
| spl50_2 ),
inference(sat_conversion,[],[f431]) ).
cnf(s16,plain,
~ spl50_2,
inference(sat_conversion,[],[f532]) ).
cnf(s17,plain,
~ spl50_1,
inference(sat_conversion,[],[f550]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s16,s17]) ).
fof(f553,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO640+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 08:44:21 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 6.67/1.95 % (3240171)Detected formulas, will run a generic FOF schedule.
% 6.67/1.95 % (3240177)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=1218743471:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.67/1.95 % (3240179)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3389631762:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.67/1.95 % (3240180)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4165170309:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.67/1.95 % (3240178)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=3618859037:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.67/1.95 % (3240176)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=3964993284:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.67/1.95 % (3240181)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3800059132:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.67/1.95 % (3240182)dis-21_1_sil=8000:lcm=predicate:random_seed=2889284502: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)
% 6.67/1.95 % (3240179)Instruction limit reached!
% 6.67/1.95 % (3240179)------------------------------
% 6.67/1.95 % (3240179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (3240179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (3240179)CaDiCaL version: 2.1.3
% 6.67/1.95 % (3240179)Termination reason: Instruction limit
% 6.67/1.95 % (3240179)Termination phase: Saturation
% 6.67/1.95 % (3240179)Time elapsed: 0.059 s
% 6.67/1.95 % (3240179)Peak memory usage: 88 MB
% 6.67/1.95 % (3240179)Instructions burned: 109 (million)
% 6.67/1.95 % (3240180)Instruction limit reached!
% 6.67/1.95 % (3240180)------------------------------
% 6.67/1.95 % (3240180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (3240180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (3240180)CaDiCaL version: 2.1.3
% 6.67/1.95 % (3240180)Termination reason: Instruction limit
% 6.67/1.95 % (3240180)Termination phase: Saturation
% 6.67/1.95 % (3240180)Time elapsed: 0.067 s
% 6.67/1.95 % (3240180)Peak memory usage: 88 MB
% 6.67/1.95 % (3240180)Instructions burned: 120 (million)
% 6.67/1.95 % (3240182)Instruction limit reached!
% 6.67/1.95 % (3240182)------------------------------
% 6.67/1.95 % (3240182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (3240182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (3240182)CaDiCaL version: 2.1.3
% 6.67/1.95 % (3240182)Termination reason: Instruction limit
% 6.67/1.95 % (3240182)Termination phase: Saturation
% 6.67/1.95 % (3240182)Time elapsed: 0.076 s
% 6.67/1.95 % (3240182)Peak memory usage: 90 MB
% 6.67/1.95 % (3240182)Instructions burned: 129 (million)
% 6.67/1.95 % (3240181)Instruction limit reached!
% 6.67/1.95 % (3240181)------------------------------
% 6.67/1.95 % (3240181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (3240181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (3240181)CaDiCaL version: 2.1.3
% 6.67/1.95 % (3240181)Termination reason: Instruction limit
% 6.67/1.95 % (3240181)Termination phase: Saturation
% 6.67/1.95 % (3240181)Time elapsed: 0.091 s
% 6.67/1.95 % (3240181)Peak memory usage: 90 MB
% 6.67/1.95 % (3240181)Instructions burned: 140 (million)
% 6.67/1.95 % (3240190)lrs+10_1_sil=8000:sp=occurrence:random_seed=2769661299:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.67/1.95 % (3240191)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1413255628:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.67/1.95 % (3240192)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3344923668:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.67/1.95 % (3240193)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=2003909838:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.67/1.95 % (3240191)Instruction limit reached!
% 6.67/1.95 % (3240191)------------------------------
% 6.67/1.95 % (3240191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (3240191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (3240191)CaDiCaL version: 2.1.3
% 6.67/1.95 % (3240191)Termination reason: Instruction limit
% 6.67/1.95 % (3240191)Termination phase: Saturation
% 6.67/1.95 % (3240191)Time elapsed: 0.074 s
% 6.67/1.95 % (3240191)Peak memory usage: 89 MB
% 6.67/1.95 % (3240191)Instructions burned: 157 (million)
% 6.67/1.95 % (3240192)Instruction limit reached!
% 6.67/1.95 % (3240192)------------------------------
% 6.67/1.95 % (3240192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.95 % (3240192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.95 % (3240192)CaDiCaL version: 2.1.3
% 6.67/1.95 % (3240192)Termination reason: Instruction limit
% 6.67/1.95 % (3240192)Termination phase: Saturation
% 6.67/1.95 % (3240192)Time elapsed: 0.116 s
% 6.67/1.95 % (3240192)Peak memory usage: 88 MB
% 6.67/1.95 % (3240192)Instructions burned: 328 (million)
% 6.67/1.95 % (3240190)Instruction limit reached!
% 6.67/1.96 % (3240190)------------------------------
% 6.67/1.96 % (3240190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (3240190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (3240190)CaDiCaL version: 2.1.3
% 6.67/1.96 % (3240190)Termination reason: Instruction limit
% 6.67/1.96 % (3240190)Termination phase: Saturation
% 6.67/1.96 % (3240190)Time elapsed: 0.178 s
% 6.67/1.96 % (3240190)Peak memory usage: 93 MB
% 6.67/1.96 % (3240190)Instructions burned: 286 (million)
% 6.67/1.96 % (3240193)Instruction limit reached!
% 6.67/1.96 % (3240193)------------------------------
% 6.67/1.96 % (3240193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (3240193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (3240193)CaDiCaL version: 2.1.3
% 6.67/1.96 % (3240193)Termination reason: Instruction limit
% 6.67/1.96 % (3240193)Termination phase: Saturation
% 6.67/1.96 % (3240193)Time elapsed: 0.133 s
% 6.67/1.96 % (3240193)Peak memory usage: 90 MB
% 6.67/1.96 % (3240193)Instructions burned: 249 (million)
% 6.67/1.96 % (3240198)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1479445470:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.67/1.96 % (3240199)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2493167944:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.67/1.96 % (3240200)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=292764391:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.67/1.96 % (3240201)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=142383106:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.67/1.96 % (3240200)Instruction limit reached!
% 6.67/1.96 % (3240200)------------------------------
% 6.67/1.96 % (3240200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (3240200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (3240200)CaDiCaL version: 2.1.3
% 6.67/1.96 % (3240200)Termination reason: Instruction limit
% 6.67/1.96 % (3240200)Termination phase: Saturation
% 6.67/1.96 % (3240200)Time elapsed: 0.063 s
% 6.67/1.96 % (3240200)Peak memory usage: 89 MB
% 6.67/1.96 % (3240200)Instructions burned: 113 (million)
% 6.67/1.96 % (3240198)Instruction limit reached!
% 6.67/1.96 % (3240198)------------------------------
% 6.67/1.96 % (3240198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (3240198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (3240198)CaDiCaL version: 2.1.3
% 6.67/1.96 % (3240198)Termination reason: Instruction limit
% 6.67/1.96 % (3240198)Termination phase: Saturation
% 6.67/1.96 % (3240198)Time elapsed: 0.163 s
% 6.67/1.96 % (3240198)Peak memory usage: 89 MB
% 6.67/1.96 % (3240198)Instructions burned: 294 (million)
% 6.67/1.96 % (3240201)Instruction limit reached!
% 6.67/1.96 % (3240201)------------------------------
% 6.67/1.96 % (3240201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (3240201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (3240201)CaDiCaL version: 2.1.3
% 6.67/1.96 % (3240201)Termination reason: Instruction limit
% 6.67/1.96 % (3240201)Termination phase: Saturation
% 6.67/1.96 % (3240201)Time elapsed: 0.068 s
% 6.67/1.96 % (3240201)Peak memory usage: 89 MB
% 6.67/1.96 % (3240201)Instructions burned: 128 (million)
% 6.67/1.96 % (3240176)First to succeed.
% 6.67/1.96 % (3240176)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3240171"
% 6.67/1.96 % (3240177)Also succeeded, but the first one will report.
% 6.67/1.96 % (3240207)lrs+10_1_sil=8000:sp=occurrence:random_seed=4063988394:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.67/1.96 % (3240206)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3785413370:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.67/1.96 % (3240208)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=632434043:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.67/1.96 % (3240206)Instruction limit reached!
% 6.67/1.96 % (3240206)------------------------------
% 6.67/1.96 % (3240206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.96 % (3240206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.96 % (3240206)CaDiCaL version: 2.1.3
% 6.67/1.96 % (3240206)Termination reason: Instruction limit
% 6.67/1.96 % (3240206)Termination phase: Saturation
% 6.67/1.96 % (3240206)Time elapsed: 0.061 s
% 6.67/1.96 % (3240206)Peak memory usage: 89 MB
% 6.67/1.96 % (3240206)Instructions burned: 115 (million)
% 6.67/1.96 % (3240176)Refutation found. Thanks to Tanya!
% 6.67/1.96 % SZS status Theorem for theBenchmark
% 6.67/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.29/2.14 % (3240176)------------------------------
% 8.29/2.14 % (3240176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.14 % (3240176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.14 % (3240176)CaDiCaL version: 2.1.3
% 8.29/2.14 % (3240176)Termination reason: Refutation
% 8.29/2.14 % (3240176)Time elapsed: 0.656 s
% 8.29/2.14 % (3240176)Peak memory usage: 130 MB
% 8.29/2.14 % (3240176)Instructions burned: 991 (million)
% 8.29/2.14 % (3240176)------------------------------
% 8.29/2.14 % (3240176)------------------------------
% 8.29/2.14 % (3240171)Success in time 1.084 s
% 8.29/2.14 % Vampire exiting
%------------------------------------------------------------------------------