%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO623+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 : n005.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 09:53:05 AM UTC 2026
% Result : Theorem 6.16s 1.97s
% Output : Refutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 15
% Syntax : Number of formulae : 93 ( 30 unt; 0 def)
% Number of atoms : 214 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 192 ( 71 ~; 66 |; 39 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 300 ( 284 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
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(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(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(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& para(X3,X4,X1,X2)
& coll(X4,X0,X2) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
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(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X3,X2,X0)
& midp(X4,X1,X2)
& midp(X5,X0,X1)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& coll(X6,X3,X5)
& coll(X7,X1,X6)
& coll(X7,X3,X4) )
=> cong(X3,X6,X3,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110986) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X3,X2,X0)
& midp(X4,X1,X2)
& midp(X5,X0,X1)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& coll(X6,X3,X5)
& coll(X7,X1,X6)
& coll(X7,X3,X4) )
=> cong(X3,X6,X3,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X3,X6,X3,X7)
& midp(X3,X2,X0)
& midp(X4,X1,X2)
& midp(X5,X0,X1)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& coll(X6,X3,X5)
& coll(X7,X1,X6)
& coll(X7,X3,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X3,X6,X3,X7)
& midp(X3,X2,X0)
& midp(X4,X1,X2)
& midp(X5,X0,X1)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& coll(X6,X3,X5)
& coll(X7,X1,X6)
& coll(X7,X3,X4) ),
inference(flattening,[],[f98]) ).
fof(f113,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f116]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(flattening,[],[f124]) ).
fof(f135,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(f136,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f135]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f148,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(f160,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f172,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f173,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(f174,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(f177,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(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f177]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f183,plain,
( ~ cong(sK3,sK6,sK3,sK7)
& midp(sK3,sK2,sK0)
& midp(sK4,sK1,sK2)
& midp(sK5,sK0,sK1)
& eqangle(sK6,sK1,sK1,sK2,sK6,sK1,sK1,sK0)
& coll(sK6,sK3,sK5)
& coll(sK7,sK1,sK6)
& coll(sK7,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f99]) ).
fof(f201,plain,
eqangle(sK6,sK1,sK1,sK2,sK6,sK1,sK1,sK0),
inference(cnf_transformation,[],[f183]) ).
fof(f203,plain,
midp(sK4,sK1,sK2),
inference(cnf_transformation,[],[f183]) ).
fof(f204,plain,
midp(sK3,sK2,sK0),
inference(cnf_transformation,[],[f183]) ).
fof(f205,plain,
~ cong(sK3,sK6,sK3,sK7),
inference(cnf_transformation,[],[f183]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X1)
| midp(X4,X2,X3)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X3,X0,X1)
| midp(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f237,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f241,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,[],[f148]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f264,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
fof(f265,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f173]) ).
fof(f266,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f174]) ).
fof(f268,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,[],[f178]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f271,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f274,plain,
eqangle(sK1,sK2,sK6,sK1,sK1,sK0,sK6,sK1),
inference(resolution,[],[f201,f241]) ).
fof(f299,plain,
para(sK1,sK2,sK1,sK0),
inference(resolution,[],[f274,f266]) ).
fof(f312,plain,
para(sK1,sK2,sK0,sK1),
inference(resolution,[],[f299,f271]) ).
fof(f332,plain,
para(sK0,sK1,sK1,sK2),
inference(resolution,[],[f312,f270]) ).
fof(f335,plain,
para(sK0,sK1,sK2,sK1),
inference(resolution,[],[f332,f271]) ).
fof(f340,plain,
para(sK2,sK1,sK0,sK1),
inference(resolution,[],[f335,f270]) ).
fof(f374,plain,
! [X0,X1] :
( ~ para(sK2,X1,sK0,X0)
| ~ para(sK2,X0,sK0,X1)
| midp(sK3,X0,X1) ),
inference(resolution,[],[f219,f204]) ).
fof(f377,plain,
! [X0,X1] :
( ~ para(sK1,X1,sK2,X0)
| ~ para(sK1,X0,sK2,X1)
| midp(sK4,X0,X1) ),
inference(resolution,[],[f219,f203]) ).
fof(f378,plain,
( ~ para(sK2,sK1,sK0,sK1)
| midp(sK3,sK1,sK1) ),
inference(resolution,[],[f374,f340]) ).
fof(f379,plain,
midp(sK3,sK1,sK1),
inference(forward_subsumption_resolution,[],[f378,f340]) ).
fof(f380,plain,
! [X0,X1] :
( midp(sK3,X0,X1)
| ~ para(sK1,X0,sK1,X1)
| ~ para(sK1,X1,sK1,X0) ),
inference(resolution,[],[f379,f219]) ).
fof(f385,plain,
cong(sK3,sK1,sK3,sK1),
inference(resolution,[],[f379,f217]) ).
fof(f386,plain,
! [X0,X1] :
( ~ para(sK1,X1,sK1,X0)
| midp(sK3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f380,f270]) ).
fof(f390,plain,
cong(sK3,sK1,sK1,sK3),
inference(resolution,[],[f385,f237]) ).
fof(f394,plain,
cong(sK1,sK3,sK3,sK1),
inference(resolution,[],[f390,f236]) ).
fof(f396,plain,
cong(sK1,sK3,sK1,sK3),
inference(resolution,[],[f394,f237]) ).
fof(f399,plain,
! [X0] :
( ~ cong(sK1,X0,sK1,X0)
| perp(sK1,sK1,X0,sK3) ),
inference(resolution,[],[f396,f232]) ).
fof(f504,plain,
perp(sK1,sK1,sK3,sK3),
inference(resolution,[],[f399,f396]) ).
fof(f507,plain,
perp(sK3,sK3,sK1,sK1),
inference(resolution,[],[f504,f254]) ).
fof(f508,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK1,sK1)
| para(X0,X1,sK3,sK3) ),
inference(resolution,[],[f504,f268]) ).
fof(f539,plain,
para(sK3,sK3,sK3,sK3),
inference(resolution,[],[f508,f507]) ).
fof(f543,plain,
! [X0,X1] : eqangle(sK3,sK3,X0,X1,sK3,sK3,X0,X1),
inference(resolution,[],[f539,f265]) ).
fof(f547,plain,
! [X0,X1] : eqangle(X0,X1,sK3,sK3,X0,X1,sK3,sK3),
inference(resolution,[],[f543,f241]) ).
fof(f557,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f547,f266]) ).
fof(f564,plain,
! [X0] : midp(sK3,X0,X0),
inference(resolution,[],[f557,f386]) ).
fof(f601,plain,
! [X0] : cong(sK3,X0,sK3,X0),
inference(resolution,[],[f564,f217]) ).
fof(f610,plain,
! [X0,X1] :
( ~ cong(sK3,X0,sK3,X0)
| perp(sK3,sK3,X0,X1) ),
inference(resolution,[],[f601,f232]) ).
fof(f615,plain,
! [X0,X1] : perp(sK3,sK3,X0,X1),
inference(forward_subsumption_resolution,[],[f610,f601]) ).
fof(f618,plain,
! [X0,X1] : perp(X0,X1,sK3,sK3),
inference(resolution,[],[f615,f254]) ).
fof(f619,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,sK3,sK3)
| para(X0,X1,X2,X3) ),
inference(resolution,[],[f615,f268]) ).
fof(f643,plain,
! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
inference(resolution,[],[f619,f618]) ).
fof(f648,plain,
! [X2,X0,X1] : coll(X0,X1,X2),
inference(resolution,[],[f643,f264]) ).
fof(f652,plain,
! [X0,X1] :
( ~ para(sK1,X0,sK2,X1)
| midp(sK4,X0,X1) ),
inference(resolution,[],[f643,f377]) ).
fof(f655,plain,
! [X0,X1] : midp(sK4,X0,X1),
inference(forward_subsumption_resolution,[],[f652,f643]) ).
fof(f665,plain,
! [X2,X3,X0,X1] :
( midp(X0,X1,X2)
| ~ para(sK4,X0,X3,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f655,f223]) ).
fof(f669,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f665,f643]) ).
fof(f670,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f669,f648]) ).
fof(f671,plain,
$false,
inference(unit_resulting_resolution,[],[f217,f205,f670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO623+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:39:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.16/1.97 % (3685383)Detected formulas, will run a generic FOF schedule.
% 6.16/1.97 % (3685394)dis-21_1_sil=8000:lcm=predicate:random_seed=522598943: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)
% 6.16/1.97 % (3685393)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3245162666:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.16/1.97 % (3685392)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=582449882:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.16/1.97 % (3685391)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4161317368:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.16/1.97 % (3685389)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=1648432673:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.16/1.97 % (3685388)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=2233384086:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.16/1.97 % (3685390)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=423403403:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.16/1.97 % (3685394)Instruction limit reached!
% 6.16/1.97 % (3685394)------------------------------
% 6.16/1.97 % (3685394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685394)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685394)Termination reason: Instruction limit
% 6.16/1.97 % (3685394)Termination phase: Saturation
% 6.16/1.97 % (3685394)Time elapsed: 0.043 s
% 6.16/1.97 % (3685394)Peak memory usage: 89 MB
% 6.16/1.97 % (3685394)Instructions burned: 132 (million)
% 6.16/1.97 % (3685391)Instruction limit reached!
% 6.16/1.97 % (3685391)------------------------------
% 6.16/1.97 % (3685391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685391)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685391)Termination reason: Instruction limit
% 6.16/1.97 % (3685391)Termination phase: Saturation
% 6.16/1.97 % (3685391)Time elapsed: 0.067 s
% 6.16/1.97 % (3685391)Peak memory usage: 89 MB
% 6.16/1.97 % (3685391)Instructions burned: 110 (million)
% 6.16/1.97 % (3685392)Instruction limit reached!
% 6.16/1.97 % (3685392)------------------------------
% 6.16/1.97 % (3685392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685392)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685392)Termination reason: Instruction limit
% 6.16/1.97 % (3685392)Termination phase: Saturation
% 6.16/1.97 % (3685392)Time elapsed: 0.073 s
% 6.16/1.97 % (3685392)Peak memory usage: 88 MB
% 6.16/1.97 % (3685392)Instructions burned: 121 (million)
% 6.16/1.97 % (3685393)Instruction limit reached!
% 6.16/1.97 % (3685393)------------------------------
% 6.16/1.97 % (3685393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685393)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685393)Termination reason: Instruction limit
% 6.16/1.97 % (3685393)Termination phase: Saturation
% 6.16/1.97 % (3685393)Time elapsed: 0.096 s
% 6.16/1.97 % (3685393)Peak memory usage: 89 MB
% 6.16/1.97 % (3685393)Instructions burned: 140 (million)
% 6.16/1.97 % (3685402)lrs+10_1_sil=8000:sp=occurrence:random_seed=4028601801:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.16/1.97 % (3685404)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2847857916:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.16/1.97 % (3685403)lrs+10_1_sil=32000:urr=on:br=off:random_seed=792918453:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.16/1.97 % (3685402)Instruction limit reached!
% 6.16/1.97 % (3685402)------------------------------
% 6.16/1.97 % (3685402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685402)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685402)Termination reason: Instruction limit
% 6.16/1.97 % (3685402)Termination phase: Saturation
% 6.16/1.97 % (3685402)Time elapsed: 0.098 s
% 6.16/1.97 % (3685402)Peak memory usage: 92 MB
% 6.16/1.97 % (3685402)Instructions burned: 285 (million)
% 6.16/1.97 % (3685405)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=4226551386:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.16/1.97 % (3685403)Instruction limit reached!
% 6.16/1.97 % (3685403)------------------------------
% 6.16/1.97 % (3685403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685403)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685403)Termination reason: Instruction limit
% 6.16/1.97 % (3685403)Termination phase: Saturation
% 6.16/1.97 % (3685403)Time elapsed: 0.081 s
% 6.16/1.97 % (3685403)Peak memory usage: 91 MB
% 6.16/1.97 % (3685403)Instructions burned: 157 (million)
% 6.16/1.97 % (3685409)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1502596888:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.16/1.97 % (3685405)Instruction limit reached!
% 6.16/1.97 % (3685405)------------------------------
% 6.16/1.97 % (3685405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685405)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685405)Termination reason: Instruction limit
% 6.16/1.97 % (3685405)Termination phase: Saturation
% 6.16/1.97 % (3685405)Time elapsed: 0.129 s
% 6.16/1.97 % (3685405)Peak memory usage: 92 MB
% 6.16/1.97 % (3685405)Instructions burned: 250 (million)
% 6.16/1.97 % (3685409)Instruction limit reached!
% 6.16/1.97 % (3685409)------------------------------
% 6.16/1.97 % (3685409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685409)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685409)Termination reason: Instruction limit
% 6.16/1.97 % (3685409)Termination phase: Saturation
% 6.16/1.97 % (3685409)Time elapsed: 0.088 s
% 6.16/1.97 % (3685409)Peak memory usage: 89 MB
% 6.16/1.97 % (3685409)Instructions burned: 298 (million)
% 6.16/1.97 % (3685404)Instruction limit reached!
% 6.16/1.97 % (3685404)------------------------------
% 6.16/1.97 % (3685404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685404)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685404)Termination reason: Instruction limit
% 6.16/1.97 % (3685404)Termination phase: Saturation
% 6.16/1.97 % (3685404)Time elapsed: 0.207 s
% 6.16/1.97 % (3685404)Peak memory usage: 91 MB
% 6.16/1.97 % (3685404)Instructions burned: 325 (million)
% 6.16/1.97 % (3685411)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2766607999:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.16/1.97 % (3685414)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2663411094:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.16/1.97 % (3685413)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1153893668:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.16/1.97 % (3685414)Instruction limit reached!
% 6.16/1.97 % (3685414)------------------------------
% 6.16/1.97 % (3685414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685414)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685414)Termination reason: Instruction limit
% 6.16/1.97 % (3685414)Termination phase: Saturation
% 6.16/1.97 % (3685414)Time elapsed: 0.039 s
% 6.16/1.97 % (3685414)Peak memory usage: 89 MB
% 6.16/1.97 % (3685414)Instructions burned: 130 (million)
% 6.16/1.97 % (3685416)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2451298908:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.16/1.97 % (3685413)Instruction limit reached!
% 6.16/1.97 % (3685413)------------------------------
% 6.16/1.97 % (3685413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685413)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685413)Termination reason: Instruction limit
% 6.16/1.97 % (3685413)Termination phase: Saturation
% 6.16/1.97 % (3685413)Time elapsed: 0.067 s
% 6.16/1.97 % (3685413)Peak memory usage: 89 MB
% 6.16/1.97 % (3685413)Instructions burned: 114 (million)
% 6.16/1.97 % (3685416)Instruction limit reached!
% 6.16/1.97 % (3685416)------------------------------
% 6.16/1.97 % (3685416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685416)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685416)Termination reason: Instruction limit
% 6.16/1.97 % (3685416)Termination phase: Saturation
% 6.16/1.97 % (3685416)Time elapsed: 0.063 s
% 6.16/1.97 % (3685416)Peak memory usage: 89 MB
% 6.16/1.97 % (3685416)Instructions burned: 114 (million)
% 6.16/1.97 % (3685419)lrs+10_1_sil=8000:sp=occurrence:random_seed=2553882259:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.16/1.97 % (3685421)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2519396721:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.16/1.97 % (3685389)First to succeed.
% 6.16/1.97 % (3685389)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3685383"
% 6.16/1.97 % (3685422)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=686914826:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.16/1.97 % (3685388)Also succeeded, but the first one will report.
% 6.16/1.97 % (3685419)Instruction limit reached!
% 6.16/1.97 % (3685419)------------------------------
% 6.16/1.97 % (3685419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685419)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685419)Termination reason: Instruction limit
% 6.16/1.97 % (3685419)Termination phase: Saturation
% 6.16/1.97 % (3685419)Time elapsed: 0.291 s
% 6.16/1.97 % (3685419)Peak memory usage: 98 MB
% 6.16/1.97 % (3685419)Instructions burned: 909 (million)
% 6.16/1.97 % (3685421)Instruction limit reached!
% 6.16/1.97 % (3685421)------------------------------
% 6.16/1.97 % (3685421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.97 % (3685421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.97 % (3685421)CaDiCaL version: 2.1.3
% 6.16/1.97 % (3685421)Termination reason: Instruction limit
% 6.16/1.97 % (3685421)Termination phase: Saturation
% 6.16/1.97 % (3685421)Time elapsed: 0.272 s
% 6.16/1.97 % (3685421)Peak memory usage: 90 MB
% 6.16/1.97 % (3685421)Instructions burned: 437 (million)
% 6.16/1.97 % (3685389)Refutation found. Thanks to Tanya!
% 6.16/1.97 % SZS status Theorem for theBenchmark
% 6.16/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.39/2.16 % (3685389)------------------------------
% 8.39/2.16 % (3685389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.39/2.16 % (3685389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/2.16 % (3685389)CaDiCaL version: 2.1.3
% 8.39/2.16 % (3685389)Termination reason: Refutation
% 8.39/2.16 % (3685389)Time elapsed: 0.693 s
% 8.39/2.16 % (3685389)Peak memory usage: 129 MB
% 8.39/2.16 % (3685389)Instructions burned: 1027 (million)
% 8.39/2.16 % (3685389)------------------------------
% 8.39/2.16 % (3685389)------------------------------
% 8.39/2.16 % (3685383)Success in time 1.109 s
% 8.39/2.16 % Vampire exiting
%------------------------------------------------------------------------------