%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO556+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 : n003.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 09:52:55 AM UTC 2026
% Result : Theorem 5.46s 1.92s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 14 unt; 0 def)
% Number of atoms : 248 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 255 ( 81 ~; 79 |; 82 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 329 ( 307 !; 22 ?)
% 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(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
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(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,X7,X8,X9,X10] :
( ( coll(X3,X0,X1)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X0,X1,X2)
& coll(X7,X1,X2)
& perp(X8,X5,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X4,X1,X2)
& coll(X9,X1,X2)
& coll(X10,X5,X8)
& coll(X10,X4,X9) )
=> perp(X2,X10,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012016) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X3,X0,X1)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X0,X1,X2)
& coll(X7,X1,X2)
& perp(X8,X5,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X4,X1,X2)
& coll(X9,X1,X2)
& coll(X10,X5,X8)
& coll(X10,X4,X9) )
=> perp(X2,X10,X4,X5) ),
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(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(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] :
( ~ perp(X2,X10,X4,X5)
& coll(X3,X0,X1)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X0,X1,X2)
& coll(X7,X1,X2)
& perp(X8,X5,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X4,X1,X2)
& coll(X9,X1,X2)
& coll(X10,X5,X8)
& coll(X10,X4,X9) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X2,X10,X4,X5)
& coll(X3,X0,X1)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X1,X2)
& coll(X5,X1,X2)
& perp(X6,X1,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X0,X1,X2)
& coll(X7,X1,X2)
& perp(X8,X5,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X4,X1,X2)
& coll(X9,X1,X2)
& coll(X10,X5,X8)
& coll(X10,X4,X9) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK22,sK30,sK24,sK25)
& coll(sK23,sK20,sK21)
& perp(sK24,sK23,sK20,sK22)
& coll(sK24,sK20,sK22)
& perp(sK25,sK23,sK21,sK22)
& coll(sK25,sK21,sK22)
& perp(sK26,sK21,sK20,sK22)
& coll(sK26,sK20,sK22)
& perp(sK27,sK20,sK21,sK22)
& coll(sK27,sK21,sK22)
& perp(sK28,sK25,sK20,sK22)
& coll(sK28,sK20,sK22)
& perp(sK29,sK24,sK21,sK22)
& coll(sK29,sK21,sK22)
& coll(sK30,sK25,sK28)
& coll(sK30,sK24,sK29) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),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)],[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(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(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(f389,plain,
perp(sK28,sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f399,plain,
~ perp(sK22,sK30,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f400,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(f401,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,[],[f400]) ).
fof(f403,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK28,sK25)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f389,f279]) ).
fof(f404,plain,
perp(sK20,sK22,sK28,sK25),
inference(resolution,[],[f389,f278]) ).
fof(f406,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f404,f403]) ).
fof(f502,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(f514,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f502]) ).
fof(f520,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f502]) ).
fof(f522,plain,
! [X2,X0,X1] :
( ~ para(X1,X0,X1,X0)
| cyclic(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f520,f514]) ).
fof(f523,plain,
! [X0] : cyclic(sK22,sK22,sK20,X0),
inference(resolution,[],[f522,f406]) ).
fof(f526,plain,
! [X0,X1] :
( ~ cyclic(sK22,sK22,sK20,X0)
| cyclic(sK22,sK20,X0,X1) ),
inference(resolution,[],[f523,f287]) ).
fof(f530,plain,
! [X0,X1] : cyclic(sK22,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f526,f523]) ).
fof(f534,plain,
! [X2,X0,X1] :
( ~ cyclic(sK22,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) ),
inference(resolution,[],[f530,f287]) ).
fof(f537,plain,
! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f534,f530]) ).
fof(f542,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK20,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f537,f287]) ).
fof(f545,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f542,f537]) ).
fof(f549,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f545,f401]) ).
fof(f553,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f549,f545]) ).
fof(f555,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f553,f545]) ).
fof(f556,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f555,f327]) ).
fof(f557,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f556,f555]) ).
fof(f558,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) ),
inference(resolution,[],[f557,f280]) ).
fof(f559,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[],[f557,f279]) ).
fof(f560,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f557,f278]) ).
fof(f568,plain,
! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f559,f560]) ).
fof(f574,plain,
! [X2,X3,X0,X1] : perp(X0,X1,X2,X3),
inference(resolution,[],[f558,f568]) ).
fof(f575,plain,
$false,
inference(resolution,[],[f574,f399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO556+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:31:25 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 5.46/1.91 % (203065)Detected formulas, will run a generic FOF schedule.
% 5.46/1.91 % (203075)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1662867717:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.46/1.91 % (203074)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2662467939:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.46/1.91 % (203073)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=632310595:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.46/1.91 % (203071)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=1064313933:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.46/1.91 % (203072)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=2595631806:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.46/1.91 % (203070)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=4080817200:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.46/1.91 % (203075)Instruction limit reached!
% 5.46/1.91 % (203075)------------------------------
% 5.46/1.91 % (203075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.91 % (203075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.91 % (203075)CaDiCaL version: 2.1.3
% 5.46/1.91 % (203075)Termination reason: Instruction limit
% 5.46/1.91 % (203075)Termination phase: Saturation
% 5.46/1.91 % (203075)Time elapsed: 0.047 s
% 5.46/1.91 % (203075)Peak memory usage: 89 MB
% 5.46/1.91 % (203075)Instructions burned: 141 (million)
% 5.46/1.91 % (203076)dis-21_1_sil=8000:lcm=predicate:random_seed=127458187:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.46/1.91 % (203074)Instruction limit reached!
% 5.46/1.91 % (203074)------------------------------
% 5.46/1.91 % (203074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203074)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203074)Termination reason: Instruction limit
% 5.46/1.92 % (203074)Termination phase: Saturation
% 5.46/1.92 % (203074)Time elapsed: 0.042 s
% 5.46/1.92 % (203074)Peak memory usage: 87 MB
% 5.46/1.92 % (203074)Instructions burned: 122 (million)
% 5.46/1.92 % (203073)Instruction limit reached!
% 5.46/1.92 % (203073)------------------------------
% 5.46/1.92 % (203073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203073)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203073)Termination reason: Instruction limit
% 5.46/1.92 % (203073)Termination phase: Saturation
% 5.46/1.92 % (203073)Time elapsed: 0.060 s
% 5.46/1.92 % (203073)Peak memory usage: 89 MB
% 5.46/1.92 % (203073)Instructions burned: 109 (million)
% 5.46/1.92 % (203076)Instruction limit reached!
% 5.46/1.92 % (203076)------------------------------
% 5.46/1.92 % (203076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203076)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203076)Termination reason: Instruction limit
% 5.46/1.92 % (203076)Termination phase: Saturation
% 5.46/1.92 % (203076)Time elapsed: 0.069 s
% 5.46/1.92 % (203076)Peak memory usage: 89 MB
% 5.46/1.92 % (203076)Instructions burned: 130 (million)
% 5.46/1.92 % (203085)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1188028211:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 5.46/1.92 % (203083)lrs+10_1_sil=8000:sp=occurrence:random_seed=1046489646:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.46/1.92 % (203085)Instruction limit reached!
% 5.46/1.92 % (203085)------------------------------
% 5.46/1.92 % (203085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203085)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203085)Termination reason: Instruction limit
% 5.46/1.92 % (203085)Termination phase: Saturation
% 5.46/1.92 % (203085)Time elapsed: 0.041 s
% 5.46/1.92 % (203085)Peak memory usage: 89 MB
% 5.46/1.92 % (203085)Instructions burned: 160 (million)
% 5.46/1.92 % (203086)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2863501327:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.46/1.92 % (203087)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=961826527:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.46/1.92 % (203090)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2623189163:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.46/1.92 % (203083)Instruction limit reached!
% 5.46/1.92 % (203083)------------------------------
% 5.46/1.92 % (203083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203083)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203083)Termination reason: Instruction limit
% 5.46/1.92 % (203083)Termination phase: Saturation
% 5.46/1.92 % (203083)Time elapsed: 0.164 s
% 5.46/1.92 % (203083)Peak memory usage: 93 MB
% 5.46/1.92 % (203083)Instructions burned: 286 (million)
% 5.46/1.92 % (203090)Instruction limit reached!
% 5.46/1.92 % (203090)------------------------------
% 5.46/1.92 % (203090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203090)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203090)Termination reason: Instruction limit
% 5.46/1.92 % (203090)Termination phase: Saturation
% 5.46/1.92 % (203090)Time elapsed: 0.088 s
% 5.46/1.92 % (203090)Peak memory usage: 89 MB
% 5.46/1.92 % (203090)Instructions burned: 295 (million)
% 5.46/1.92 % (203087)Instruction limit reached!
% 5.46/1.92 % (203087)------------------------------
% 5.46/1.92 % (203087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203087)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203087)Termination reason: Instruction limit
% 5.46/1.92 % (203087)Termination phase: Saturation
% 5.46/1.92 % (203087)Time elapsed: 0.135 s
% 5.46/1.92 % (203087)Peak memory usage: 91 MB
% 5.46/1.92 % (203087)Instructions burned: 248 (million)
% 5.46/1.92 % (203086)Instruction limit reached!
% 5.46/1.92 % (203086)------------------------------
% 5.46/1.92 % (203086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203086)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203086)Termination reason: Instruction limit
% 5.46/1.92 % (203086)Termination phase: Saturation
% 5.46/1.92 % (203086)Time elapsed: 0.190 s
% 5.46/1.92 % (203086)Peak memory usage: 90 MB
% 5.46/1.92 % (203086)Instructions burned: 326 (million)
% 5.46/1.92 % (203094)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1396059264:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.46/1.92 % (203095)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3119872047:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.46/1.92 % (203095)Instruction limit reached!
% 5.46/1.92 % (203095)------------------------------
% 5.46/1.92 % (203095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203095)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203095)Termination reason: Instruction limit
% 5.46/1.92 % (203095)Termination phase: Saturation
% 5.46/1.92 % (203095)Time elapsed: 0.033 s
% 5.46/1.92 % (203095)Peak memory usage: 89 MB
% 5.46/1.92 % (203095)Instructions burned: 117 (million)
% 5.46/1.92 % (203096)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2418188838:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 5.46/1.92 % (203097)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2942897708:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.46/1.92 % (203100)lrs+10_1_sil=8000:sp=occurrence:random_seed=3678174913:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 5.46/1.92 % (203096)Instruction limit reached!
% 5.46/1.92 % (203096)------------------------------
% 5.46/1.92 % (203096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203096)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203096)Termination reason: Instruction limit
% 5.46/1.92 % (203096)Termination phase: Saturation
% 5.46/1.92 % (203096)Time elapsed: 0.069 s
% 5.46/1.92 % (203096)Peak memory usage: 89 MB
% 5.46/1.92 % (203096)Instructions burned: 129 (million)
% 5.46/1.92 % (203097)Instruction limit reached!
% 5.46/1.92 % (203097)------------------------------
% 5.46/1.92 % (203097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203097)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203097)Termination reason: Instruction limit
% 5.46/1.92 % (203097)Termination phase: Saturation
% 5.46/1.92 % (203097)Time elapsed: 0.061 s
% 5.46/1.92 % (203097)Peak memory usage: 89 MB
% 5.46/1.92 % (203097)Instructions burned: 115 (million)
% 5.46/1.92 % (203070)First to succeed.
% 5.46/1.92 % (203070)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-203065"
% 5.46/1.92 % (203105)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3053629917:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.46/1.92 % (203104)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3589375281:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.46/1.92 % (203104)Refutation not found, incomplete strategy
% 5.46/1.92 % (203104)------------------------------
% 5.46/1.92 % (203104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203104)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203104)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.92 % (203104)Time elapsed: 0.002 s
% 5.46/1.92 % (203104)Peak memory usage: 88 MB
% 5.46/1.92 % (203104)Instructions burned: 1 (million)
% 5.46/1.92 % (203100)Instruction limit reached!
% 5.46/1.92 % (203100)------------------------------
% 5.46/1.92 % (203100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.92 % (203100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.92 % (203100)CaDiCaL version: 2.1.3
% 5.46/1.92 % (203100)Termination reason: Instruction limit
% 5.46/1.92 % (203100)Termination phase: Saturation
% 5.46/1.92 % (203100)Time elapsed: 0.278 s
% 5.46/1.92 % (203100)Peak memory usage: 98 MB
% 5.46/1.92 % (203100)Instructions burned: 908 (million)
% 5.46/1.92 % (203070)Refutation found. Thanks to Tanya!
% 5.46/1.92 % SZS status Theorem for theBenchmark
% 5.46/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 5.46/2.01 % (203070)------------------------------
% 5.46/2.01 % (203070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/2.01 % (203070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/2.01 % (203070)CaDiCaL version: 2.1.3
% 5.46/2.01 % (203070)Termination reason: Refutation
% 5.46/2.01 % (203070)Time elapsed: 0.663 s
% 5.46/2.01 % (203070)Peak memory usage: 130 MB
% 5.46/2.01 % (203070)Instructions burned: 1001 (million)
% 5.46/2.01 % (203070)------------------------------
% 5.46/2.01 % (203070)------------------------------
% 5.46/2.01 % (203065)Success in time 1.072 s
% 5.46/2.01 % Vampire exiting
%------------------------------------------------------------------------------