%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO565+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:57 AM UTC 2026
% Result : Theorem 11.25s 2.47s
% Output : Refutation 11.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 99 ( 10 unt; 2 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 396 ( 121 ~; 116 |; 141 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 435 ( 0 sgn 395 !; 40 ?)
% 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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
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,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& midp(X8,X0,X1)
& perp(X0,X1,X8,X4)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X4)
& midp(X10,X1,X2)
& perp(X1,X2,X10,X4)
& midp(X11,X0,X3)
& perp(X0,X3,X11,X5)
& midp(X12,X0,X1)
& perp(X0,X1,X12,X5)
& midp(X13,X3,X1)
& perp(X3,X1,X13,X5)
& midp(X14,X1,X3)
& perp(X1,X3,X14,X6)
& midp(X15,X1,X2)
& perp(X1,X2,X15,X6)
& midp(X16,X3,X2)
& perp(X3,X2,X16,X6)
& midp(X17,X2,X3)
& perp(X2,X3,X17,X7)
& midp(X18,X2,X0)
& perp(X2,X0,X18,X7)
& midp(X19,X3,X0)
& perp(X3,X0,X19,X7) )
=> cong(X3,X6,X3,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214027) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& midp(X8,X0,X1)
& perp(X0,X1,X8,X4)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X4)
& midp(X10,X1,X2)
& perp(X1,X2,X10,X4)
& midp(X11,X0,X3)
& perp(X0,X3,X11,X5)
& midp(X12,X0,X1)
& perp(X0,X1,X12,X5)
& midp(X13,X3,X1)
& perp(X3,X1,X13,X5)
& midp(X14,X1,X3)
& perp(X1,X3,X14,X6)
& midp(X15,X1,X2)
& perp(X1,X2,X15,X6)
& midp(X16,X3,X2)
& perp(X3,X2,X16,X6)
& midp(X17,X2,X3)
& perp(X2,X3,X17,X7)
& midp(X18,X2,X0)
& perp(X2,X0,X18,X7)
& midp(X19,X3,X0)
& perp(X3,X0,X19,X7) )
=> cong(X3,X6,X3,X7) ),
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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
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,X12,X13,X14,X15,X16,X17,X18,X19] :
( ~ cong(X3,X6,X3,X7)
& perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& midp(X8,X0,X1)
& perp(X0,X1,X8,X4)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X4)
& midp(X10,X1,X2)
& perp(X1,X2,X10,X4)
& midp(X11,X0,X3)
& perp(X0,X3,X11,X5)
& midp(X12,X0,X1)
& perp(X0,X1,X12,X5)
& midp(X13,X3,X1)
& perp(X3,X1,X13,X5)
& midp(X14,X1,X3)
& perp(X1,X3,X14,X6)
& midp(X15,X1,X2)
& perp(X1,X2,X15,X6)
& midp(X16,X3,X2)
& perp(X3,X2,X16,X6)
& midp(X17,X2,X3)
& perp(X2,X3,X17,X7)
& midp(X18,X2,X0)
& perp(X2,X0,X18,X7)
& midp(X19,X3,X0)
& perp(X3,X0,X19,X7) ),
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] :
( ~ cong(X3,X6,X3,X7)
& perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& midp(X8,X0,X1)
& perp(X0,X1,X8,X4)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X4)
& midp(X10,X1,X2)
& perp(X1,X2,X10,X4)
& midp(X11,X0,X3)
& perp(X0,X3,X11,X5)
& midp(X12,X0,X1)
& perp(X0,X1,X12,X5)
& midp(X13,X3,X1)
& perp(X3,X1,X13,X5)
& midp(X14,X1,X3)
& perp(X1,X3,X14,X6)
& midp(X15,X1,X2)
& perp(X1,X2,X15,X6)
& midp(X16,X3,X2)
& perp(X3,X2,X16,X6)
& midp(X17,X2,X3)
& perp(X2,X3,X17,X7)
& midp(X18,X2,X0)
& perp(X2,X0,X18,X7)
& midp(X19,X3,X0)
& perp(X3,X0,X19,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK23,sK26,sK23,sK27)
& perp(sK20,sK21,sK22,sK23)
& perp(sK20,sK22,sK21,sK23)
& perp(sK21,sK22,sK20,sK23)
& midp(sK28,sK20,sK21)
& perp(sK20,sK21,sK28,sK24)
& midp(sK29,sK20,sK22)
& perp(sK20,sK22,sK29,sK24)
& midp(sK30,sK21,sK22)
& perp(sK21,sK22,sK30,sK24)
& midp(sK31,sK20,sK23)
& perp(sK20,sK23,sK31,sK25)
& midp(sK32,sK20,sK21)
& perp(sK20,sK21,sK32,sK25)
& midp(sK33,sK23,sK21)
& perp(sK23,sK21,sK33,sK25)
& midp(sK34,sK21,sK23)
& perp(sK21,sK23,sK34,sK26)
& midp(sK35,sK21,sK22)
& perp(sK21,sK22,sK35,sK26)
& midp(sK36,sK23,sK22)
& perp(sK23,sK22,sK36,sK26)
& midp(sK37,sK22,sK23)
& perp(sK22,sK23,sK37,sK27)
& midp(sK38,sK22,sK20)
& perp(sK22,sK20,sK38,sK27)
& midp(sK39,sK23,sK20)
& perp(sK23,sK20,sK39,sK27) ),
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]),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)],[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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
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(f384,plain,
perp(sK23,sK20,sK39,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f411,plain,
~ cong(sK23,sK26,sK23,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f412,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(f413,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,[],[f412]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| cong(X1,X3,X2,X3) ),
inference(resolution,[],[f310,f314]) ).
fof(f424,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(f426,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f424,f309]) ).
fof(f430,definition,
( spl40_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition]) ).
fof(f431,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl40_1 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f433,definition,
( spl40_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition]) ).
fof(f434,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl40_2 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f435,plain,
( spl40_1
| spl40_2 ),
inference(avatar_split_clause,[],[f426,f433,f430]) ).
fof(f448,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(f459,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK23,sK20)
| para(X0,X1,sK39,sK27) ),
inference(resolution,[],[f279,f384]) ).
fof(f470,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f448]) ).
fof(f486,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f448]) ).
fof(f540,plain,
perp(sK39,sK27,sK23,sK20),
inference(resolution,[],[f278,f384]) ).
fof(f546,plain,
para(sK39,sK27,sK39,sK27),
inference(resolution,[],[f540,f459]) ).
fof(f550,plain,
( $false
| ~ spl40_2 ),
inference(forward_subsumption_resolution,[],[f546,f434]) ).
fof(f551,plain,
~ spl40_2,
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0) )
| ~ spl40_1 ),
inference(forward_subsumption_resolution,[],[f470,f431]) ).
fof(f557,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl40_1 ),
inference(forward_subsumption_resolution,[],[f486,f431]) ).
fof(f560,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl40_1 ),
inference(forward_subsumption_resolution,[],[f557,f553]) ).
fof(f564,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl40_1 ),
inference(resolution,[],[f560,f287]) ).
fof(f570,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl40_1 ),
inference(forward_subsumption_resolution,[],[f564,f560]) ).
fof(f576,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl40_1 ),
inference(resolution,[],[f570,f413]) ).
fof(f577,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X2)
| cong(X0,X1,X3,X1) )
| ~ spl40_1 ),
inference(resolution,[],[f570,f414]) ).
fof(f578,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl40_1 ),
inference(forward_subsumption_resolution,[],[f577,f570]) ).
fof(f579,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl40_1 ),
inference(forward_subsumption_resolution,[],[f576,f570]) ).
fof(f580,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl40_1 ),
inference(forward_subsumption_resolution,[],[f578,f570]) ).
fof(f581,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl40_1 ),
inference(forward_subsumption_resolution,[],[f579,f570]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl40_1 ),
inference(resolution,[],[f581,f327]) ).
fof(f586,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl40_1 ),
inference(forward_subsumption_resolution,[],[f585,f581]) ).
fof(f593,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl40_1 ),
inference(resolution,[],[f586,f279]) ).
fof(f613,plain,
( ! [X2,X0,X1] : para(X0,X0,X1,X2)
| ~ spl40_1 ),
inference(resolution,[],[f593,f586]) ).
fof(f614,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl40_1 ),
inference(resolution,[],[f613,f580]) ).
fof(f616,plain,
( ! [X2,X0,X1] : cong(X0,X1,X1,X2)
| ~ spl40_1 ),
inference(resolution,[],[f614,f293]) ).
fof(f620,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X0)
| ~ spl40_1 ),
inference(resolution,[],[f616,f294]) ).
fof(f625,plain,
( ! [X2,X0,X1] : cong(X0,X1,X0,X2)
| ~ spl40_1 ),
inference(resolution,[],[f620,f293]) ).
fof(f628,plain,
( $false
| ~ spl40_1 ),
inference(resolution,[],[f625,f411]) ).
fof(f633,plain,
~ spl40_1,
inference(avatar_contradiction_clause,[],[f628]) ).
cnf(s1,plain,
( spl40_1
| spl40_2 ),
inference(sat_conversion,[],[f435]) ).
cnf(s2,plain,
~ spl40_2,
inference(sat_conversion,[],[f551]) ).
cnf(s3,plain,
~ spl40_1,
inference(sat_conversion,[],[f633]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f634,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO565+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 : n008.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 08:32:09 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
% 11.25/2.47 % (926427)Detected formulas, will run a generic FOF schedule.
% 11.25/2.47 % (926448)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1303677875:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.25/2.47 % (926448)Instruction limit reached!
% 11.25/2.47 % (926448)------------------------------
% 11.25/2.47 % (926448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926448)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926448)Termination reason: Instruction limit
% 11.25/2.47 % (926448)Termination phase: Saturation
% 11.25/2.47 % (926448)Time elapsed: 0.048 s
% 11.25/2.47 % (926448)Peak memory usage: 89 MB
% 11.25/2.47 % (926448)Instructions burned: 110 (million)
% 11.25/2.47 % (926445)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=2902387552:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.25/2.47 % (926447)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=2901687233:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.25/2.47 % (926446)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=2451088444:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.25/2.47 % (926450)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2233870363:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.25/2.47 % (926451)dis-21_1_sil=8000:lcm=predicate:random_seed=467952317: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)
% 11.25/2.47 % (926449)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3818730373:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.25/2.47 % (926449)Instruction limit reached!
% 11.25/2.47 % (926449)------------------------------
% 11.25/2.47 % (926449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926449)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926449)Termination reason: Instruction limit
% 11.25/2.47 % (926449)Termination phase: Saturation
% 11.25/2.47 % (926449)Time elapsed: 0.089 s
% 11.25/2.47 % (926449)Peak memory usage: 89 MB
% 11.25/2.47 % (926449)Instructions burned: 119 (million)
% 11.25/2.47 % (926451)Instruction limit reached!
% 11.25/2.47 % (926451)------------------------------
% 11.25/2.47 % (926451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926451)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926451)Termination reason: Instruction limit
% 11.25/2.47 % (926451)Termination phase: Saturation
% 11.25/2.47 % (926451)Time elapsed: 0.104 s
% 11.25/2.47 % (926451)Peak memory usage: 89 MB
% 11.25/2.47 % (926451)Instructions burned: 130 (million)
% 11.25/2.47 % (926450)Instruction limit reached!
% 11.25/2.47 % (926450)------------------------------
% 11.25/2.47 % (926450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926450)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926450)Termination reason: Instruction limit
% 11.25/2.47 % (926450)Termination phase: Saturation
% 11.25/2.47 % (926450)Time elapsed: 0.129 s
% 11.25/2.47 % (926450)Peak memory usage: 89 MB
% 11.25/2.47 % (926450)Instructions burned: 143 (million)
% 11.25/2.47 % (926464)lrs+10_1_sil=8000:sp=occurrence:random_seed=1757125652:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.25/2.47 % (926471)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2304856909:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.25/2.47 % (926464)Instruction limit reached!
% 11.25/2.47 % (926464)------------------------------
% 11.25/2.47 % (926464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926464)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926464)Termination reason: Instruction limit
% 11.25/2.47 % (926464)Termination phase: Saturation
% 11.25/2.47 % (926464)Time elapsed: 0.133 s
% 11.25/2.47 % (926464)Peak memory usage: 93 MB
% 11.25/2.47 % (926464)Instructions burned: 287 (million)
% 11.25/2.47 % (926470)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2381310162:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.25/2.47 % (926477)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=551157627:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.25/2.47 % (926470)Instruction limit reached!
% 11.25/2.47 % (926470)------------------------------
% 11.25/2.47 % (926470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926470)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926470)Termination reason: Instruction limit
% 11.25/2.47 % (926470)Termination phase: Saturation
% 11.25/2.47 % (926470)Time elapsed: 0.136 s
% 11.25/2.47 % (926470)Peak memory usage: 92 MB
% 11.25/2.47 % (926470)Instructions burned: 158 (million)
% 11.25/2.47 % (926485)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1398759023:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 11.25/2.47 % (926485)Instruction limit reached!
% 11.25/2.47 % (926485)------------------------------
% 11.25/2.47 % (926485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926485)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926485)Termination reason: Instruction limit
% 11.25/2.47 % (926485)Termination phase: Saturation
% 11.25/2.47 % (926485)Time elapsed: 0.094 s
% 11.25/2.47 % (926485)Peak memory usage: 90 MB
% 11.25/2.47 % (926485)Instructions burned: 295 (million)
% 11.25/2.47 % (926477)Instruction limit reached!
% 11.25/2.47 % (926477)------------------------------
% 11.25/2.47 % (926477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926477)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926477)Termination reason: Instruction limit
% 11.25/2.47 % (926477)Termination phase: Saturation
% 11.25/2.47 % (926477)Time elapsed: 0.212 s
% 11.25/2.47 % (926477)Peak memory usage: 93 MB
% 11.25/2.47 % (926477)Instructions burned: 249 (million)
% 11.25/2.47 % (926471)Instruction limit reached!
% 11.25/2.47 % (926471)------------------------------
% 11.25/2.47 % (926471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926471)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926471)Termination reason: Instruction limit
% 11.25/2.47 % (926471)Termination phase: Saturation
% 11.25/2.47 % (926471)Time elapsed: 0.302 s
% 11.25/2.47 % (926471)Peak memory usage: 92 MB
% 11.25/2.47 % (926471)Instructions burned: 325 (million)
% 11.25/2.47 % (926492)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2116756196:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.25/2.47 % (926489)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1714117429:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.25/2.47 % (926492)Instruction limit reached!
% 11.25/2.47 % (926492)------------------------------
% 11.25/2.47 % (926492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926492)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926492)Termination reason: Instruction limit
% 11.25/2.47 % (926492)Termination phase: Saturation
% 11.25/2.47 % (926492)Time elapsed: 0.036 s
% 11.25/2.47 % (926492)Peak memory usage: 90 MB
% 11.25/2.47 % (926492)Instructions burned: 116 (million)
% 11.25/2.47 % (926500)lrs+10_1_sil=8000:sp=occurrence:random_seed=844144038:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.25/2.47 % (926494)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2538038771:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 11.25/2.47 % (926495)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3241455996:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.25/2.47 % (926494)Instruction limit reached!
% 11.25/2.47 % (926494)------------------------------
% 11.25/2.47 % (926494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926494)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926494)Termination reason: Instruction limit
% 11.25/2.47 % (926494)Termination phase: Saturation
% 11.25/2.47 % (926494)Time elapsed: 0.115 s
% 11.25/2.47 % (926494)Peak memory usage: 89 MB
% 11.25/2.47 % (926494)Instructions burned: 127 (million)
% 11.25/2.47 % (926495)Instruction limit reached!
% 11.25/2.47 % (926495)------------------------------
% 11.25/2.47 % (926495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926495)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926495)Termination reason: Instruction limit
% 11.25/2.47 % (926495)Termination phase: Saturation
% 11.25/2.47 % (926495)Time elapsed: 0.102 s
% 11.25/2.47 % (926495)Peak memory usage: 90 MB
% 11.25/2.47 % (926495)Instructions burned: 114 (million)
% 11.25/2.47 % (926445)First to succeed.
% 11.25/2.47 % (926445)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-926427"
% 11.25/2.47 % (926508)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1511688761:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 11.25/2.47 % (926509)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2660104124:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 11.25/2.47 % (926500)Instruction limit reached!
% 11.25/2.47 % (926500)------------------------------
% 11.25/2.47 % (926500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926500)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926500)Termination reason: Instruction limit
% 11.25/2.47 % (926500)Termination phase: Saturation
% 11.25/2.47 % (926500)Time elapsed: 0.399 s
% 11.25/2.47 % (926500)Peak memory usage: 100 MB
% 11.25/2.47 % (926500)Instructions burned: 910 (million)
% 11.25/2.47 % (926517)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=426774181:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 11.25/2.47 % (926517)Instruction limit reached!
% 11.25/2.47 % (926517)------------------------------
% 11.25/2.47 % (926517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (926517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (926517)CaDiCaL version: 2.1.3
% 11.25/2.47 % (926517)Termination reason: Instruction limit
% 11.25/2.47 % (926517)Termination phase: Saturation
% 11.25/2.47 % (926517)Time elapsed: 0.045 s
% 11.25/2.47 % (926517)Peak memory usage: 90 MB
% 11.25/2.47 % (926517)Instructions burned: 134 (million)
% 11.25/2.47 % (926445)Refutation found. Thanks to Tanya!
% 11.25/2.47 % SZS status Theorem for theBenchmark
% 11.25/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 11.92/2.69 % (926445)------------------------------
% 11.92/2.69 % (926445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.69 % (926445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.69 % (926445)CaDiCaL version: 2.1.3
% 11.92/2.69 % (926445)Termination reason: Refutation
% 11.92/2.69 % (926445)Time elapsed: 1.042 s
% 11.92/2.69 % (926445)Peak memory usage: 131 MB
% 11.92/2.69 % (926445)Instructions burned: 1016 (million)
% 11.92/2.69 % (926445)------------------------------
% 11.92/2.69 % (926445)------------------------------
% 11.92/2.69 % (926427)Success in time 1.616 s
% 11.92/2.69 % Vampire exiting
%------------------------------------------------------------------------------