%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL471+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:52:33 AM UTC 2026
% Result : Theorem 37.39s 5.95s
% Output : Refutation 38.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 14
% Syntax : Number of formulae : 113 ( 71 unt; 0 def)
% Number of atoms : 171 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 105 ( 47 ~; 42 |; 2 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 234 ( 231 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
fof(f12,axiom,
( or_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_3) ).
fof(f19,axiom,
( cn1
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn1) ).
fof(f20,axiom,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn2) ).
fof(f21,axiom,
( cn3
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn3) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_modus_ponens) ).
fof(f36,axiom,
cn1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn1) ).
fof(f37,axiom,
cn2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn2) ).
fof(f38,axiom,
cn3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn3) ).
fof(f40,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f41,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f43,conjecture,
or_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_3) ).
fof(f44,negated_conjecture,
~ or_3,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ or_3,
inference(flattening,[],[f44]) ).
fof(f46,plain,
( cn3
=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f47,plain,
( cn2
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f48,plain,
( cn1
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f49,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
=> or_3 ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f51,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f55,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f51]) ).
fof(f56,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f55]) ).
fof(f58,plain,
( or_3
| ? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
inference(ennf_transformation,[],[f49]) ).
fof(f59,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f60,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(ennf_transformation,[],[f47]) ).
fof(f61,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(ennf_transformation,[],[f46]) ).
fof(f62,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f63,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,plain,
( or_3
| ~ is_a_theorem(implies(implies(sK0,sK2),implies(implies(sK1,sK2),implies(or(sK0,sK1),sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f58]) ).
fof(f66,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f56]) ).
fof(f68,plain,
( or_3
| ~ is_a_theorem(implies(implies(sK0,sK2),implies(implies(sK1,sK2),implies(or(sK0,sK1),sK2)))) ),
inference(cnf_transformation,[],[f65]) ).
fof(f69,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f70,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f71,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[],[f61]) ).
fof(f72,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f62]) ).
fof(f73,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f63]) ).
fof(f77,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f78,plain,
cn1,
inference(cnf_transformation,[],[f36]) ).
fof(f79,plain,
cn2,
inference(cnf_transformation,[],[f37]) ).
fof(f80,plain,
cn3,
inference(cnf_transformation,[],[f38]) ).
fof(f82,plain,
op_or,
inference(cnf_transformation,[],[f40]) ).
fof(f83,plain,
op_implies_and,
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
~ or_3,
inference(cnf_transformation,[],[f45]) ).
fof(f87,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f73,f83]) ).
fof(f88,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f72,f82]) ).
fof(f89,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(forward_subsumption_resolution,[],[f71,f80]) ).
fof(f90,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(forward_subsumption_resolution,[],[f70,f79]) ).
fof(f91,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(forward_subsumption_resolution,[],[f69,f78]) ).
fof(f92,plain,
~ is_a_theorem(implies(implies(sK0,sK2),implies(implies(sK1,sK2),implies(or(sK0,sK1),sK2)))),
inference(forward_subsumption_resolution,[],[f68,f85]) ).
fof(f94,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f66,f77]) ).
fof(f95,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f88,f87]) ).
fof(f96,plain,
! [X0] : is_a_theorem(implies(or(X0,X0),X0)),
inference(backward_demodulation,[],[f89,f95]) ).
fof(f97,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(backward_demodulation,[],[f90,f95]) ).
fof(f98,plain,
! [X0,X1] : is_a_theorem(or(X0,or(not(X0),X1))),
inference(superposition,[],[f97,f95]) ).
fof(f100,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X2,not(X0)),implies(or(X0,X1),implies(X2,X1)))),
inference(superposition,[],[f91,f95]) ).
fof(f101,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X0),X2)))),
inference(superposition,[],[f91,f95]) ).
fof(f102,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))),
inference(forward_demodulation,[],[f101,f95]) ).
fof(f126,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(unit_resulting_resolution,[],[f94,f91,f91]) ).
fof(f128,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(or(X0,X0),X1))),
inference(unit_resulting_resolution,[],[f94,f96,f91]) ).
fof(f133,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f94,f91]) ).
fof(f136,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),or(X0,X2)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[],[f94,f102]) ).
fof(f146,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),X3)) ),
inference(resolution,[],[f126,f94]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f133,f94]) ).
fof(f184,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(unit_resulting_resolution,[],[f158,f97,f96]) ).
fof(f189,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f158,f91]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f158,f133]) ).
fof(f193,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f158,f96]) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),or(X1,X3))))
| ~ is_a_theorem(implies(X0,or(X1,X2))) ),
inference(resolution,[],[f158,f102]) ).
fof(f225,plain,
! [X0,X1] : is_a_theorem(or(implies(X0,X0),X1)),
inference(unit_resulting_resolution,[],[f94,f97,f184]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f189,f94]) ).
fof(f279,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f191,f97,f100]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,implies(X4,X3)))
| ~ is_a_theorem(implies(X0,implies(X2,X4))) ),
inference(resolution,[],[f191,f189]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(or(X0,X1),implies(X2,or(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f191,f102]) ).
fof(f561,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(or(X3,X1))
| is_a_theorem(implies(X0,or(X3,X2))) ),
inference(resolution,[],[f308,f94]) ).
fof(f1402,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[],[f136,f193]) ).
fof(f1443,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X1)),implies(X1,X1))),
inference(unit_resulting_resolution,[],[f1402,f225]) ).
fof(f1593,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X0))),
inference(resolution,[],[f1443,f146]) ).
fof(f1704,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X0,implies(not(X0),X2)))),
inference(unit_resulting_resolution,[],[f158,f279,f1593]) ).
fof(f1800,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X0,or(X0,X2)))),
inference(forward_demodulation,[],[f1704,f95]) ).
fof(f1805,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,X1),implies(X0,or(X0,X2)))),
inference(forward_demodulation,[],[f1800,f95]) ).
fof(f1867,plain,
! [X0,X1] : is_a_theorem(implies(or(X0,X1),implies(X0,X0))),
inference(unit_resulting_resolution,[],[f158,f1593,f1805]) ).
fof(f2013,plain,
! [X0] : is_a_theorem(implies(X0,implies(X0,X0))),
inference(unit_resulting_resolution,[],[f158,f97,f1867]) ).
fof(f2162,plain,
! [X0,X1] : is_a_theorem(implies(or(X0,X1),implies(X1,or(X0,X1)))),
inference(unit_resulting_resolution,[],[f308,f2013]) ).
fof(f3013,plain,
! [X0,X1] : is_a_theorem(implies(or(X0,X1),implies(X1,X1))),
inference(unit_resulting_resolution,[],[f158,f1593,f2162]) ).
fof(f3178,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(or(X2,X0),X1))),
inference(unit_resulting_resolution,[],[f133,f3013]) ).
fof(f3194,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(unit_resulting_resolution,[],[f158,f97,f3013]) ).
fof(f3292,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(or(X1,X1),X1))),
inference(unit_resulting_resolution,[],[f191,f96,f3194]) ).
fof(f3382,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,X1),implies(X2,or(X0,X1)))),
inference(unit_resulting_resolution,[],[f308,f3194]) ).
fof(f3623,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,X1),implies(X2,implies(implies(X1,X0),X0)))),
inference(unit_resulting_resolution,[],[f301,f102,f3292]) ).
fof(f4371,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,X0),implies(X1,implies(X2,X0)))),
inference(unit_resulting_resolution,[],[f301,f3292,f3382]) ).
fof(f5501,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(unit_resulting_resolution,[],[f158,f97,f4371]) ).
fof(f5967,plain,
! [X2,X0,X1] : is_a_theorem(implies(X1,implies(X2,or(X0,X1)))),
inference(superposition,[],[f5501,f95]) ).
fof(f21390,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),or(X2,X1))),
inference(unit_resulting_resolution,[],[f561,f98,f3178]) ).
fof(f22225,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f21390,f193]) ).
fof(f22999,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))),
inference(unit_resulting_resolution,[],[f158,f5967,f22225]) ).
fof(f25072,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(unit_resulting_resolution,[],[f158,f3623,f22999]) ).
fof(f26675,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(unit_resulting_resolution,[],[f158,f22225,f25072]) ).
fof(f27124,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f191,f91,f26675]) ).
fof(f27159,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(unit_resulting_resolution,[],[f191,f102,f26675]) ).
fof(f27272,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X0,implies(X1,X2)))),
inference(unit_resulting_resolution,[],[f301,f279,f26675]) ).
fof(f29474,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(or(X0,X1),X2),implies(implies(X3,X1),implies(or(X0,X3),X2)))),
inference(unit_resulting_resolution,[],[f191,f27159,f27124]) ).
fof(f29765,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f94,f96,f27124]) ).
fof(f48823,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(unit_resulting_resolution,[],[f240,f184,f27272]) ).
fof(f49458,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),or(X0,X2))),
inference(forward_demodulation,[],[f48823,f95]) ).
fof(f49576,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X3),or(X0,X3)))),
inference(unit_resulting_resolution,[],[f194,f49458]) ).
fof(f52921,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
inference(unit_resulting_resolution,[],[f158,f29765,f49576]) ).
fof(f53916,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(unit_resulting_resolution,[],[f158,f52921,f52921]) ).
fof(f57084,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X2),X1),implies(or(X0,X1),X1))),
inference(superposition,[],[f53916,f95]) ).
fof(f57085,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(or(X0,X2),X1),implies(or(X0,X1),X1))),
inference(forward_demodulation,[],[f57084,f95]) ).
fof(f71892,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(or(X0,X1),X1))),
inference(unit_resulting_resolution,[],[f158,f128,f57085]) ).
fof(f72868,plain,
~ is_a_theorem(implies(implies(or(sK0,sK2),sK2),implies(implies(sK1,sK2),implies(or(sK0,sK1),sK2)))),
inference(unit_resulting_resolution,[],[f158,f92,f71892]) ).
fof(f73512,plain,
$false,
inference(forward_subsumption_resolution,[],[f72868,f29474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL471+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 27 15:47:49 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.34 Running first-order theorem proving
% 0.05/0.34 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
% 6.82/1.73 % (2539383)Detected formulas, will run a generic FOF schedule.
% 6.82/1.73 % (2539471)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=161839486:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.82/1.73 % (2539463)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=3538433666:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.82/1.73 % (2539468)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=335071544:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.82/1.73 % (2539469)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1347633937:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.82/1.73 % (2539472)dis-21_1_sil=8000:lcm=predicate:random_seed=2587944114: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)
% 6.82/1.73 % (2539465)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=3258332552:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.82/1.73 % (2539466)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=2185765357:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.82/1.73 % (2539469)Refutation not found, incomplete strategy
% 6.82/1.73 % (2539469)------------------------------
% 6.82/1.73 % (2539469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.73 % (2539469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.73 % (2539468)Refutation not found, incomplete strategy
% 6.82/1.73 % (2539468)------------------------------
% 6.82/1.73 % (2539468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.73 % (2539469)CaDiCaL version: 2.1.3
% 6.82/1.73 % (2539468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.73 % (2539469)Termination reason: Refutation not found, incomplete strategy
% 6.82/1.73 % (2539469)Time elapsed: 0.0000 s
% 6.82/1.73 % (2539469)Peak memory usage: 86 MB
% 6.82/1.73 % (2539468)CaDiCaL version: 2.1.3
% 6.82/1.73 % (2539468)Termination reason: Refutation not found, incomplete strategy
% 6.82/1.73 % (2539468)Time elapsed: 0.0000 s
% 6.82/1.73 % (2539468)Peak memory usage: 86 MB
% 6.82/1.73 % (2539472)Refutation not found, incomplete strategy
% 6.82/1.73 % (2539472)------------------------------
% 6.82/1.73 % (2539472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.73 % (2539472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.73 % (2539472)CaDiCaL version: 2.1.3
% 6.82/1.73 % (2539472)Termination reason: Refutation not found, incomplete strategy
% 6.82/1.73 % (2539472)Time elapsed: 0.001 s
% 6.82/1.73 % (2539472)Peak memory usage: 88 MB
% 6.82/1.73 % (2539472)Instructions burned: 1 (million)
% 6.82/1.73 % (2539471)Instruction limit reached!
% 6.82/1.73 % (2539471)------------------------------
% 6.82/1.73 % (2539471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.73 % (2539471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.73 % (2539471)CaDiCaL version: 2.1.3
% 6.82/1.73 % (2539471)Termination reason: Instruction limit
% 6.82/1.73 % (2539471)Termination phase: Saturation
% 6.82/1.73 % (2539471)Time elapsed: 0.051 s
% 6.82/1.73 % (2539471)Peak memory usage: 90 MB
% 6.82/1.73 % (2539471)Instructions burned: 141 (million)
% 6.82/1.73 % (2539472)------------------------------
% 6.82/1.73 % (2539472)------------------------------
% 6.82/1.73 % (2539468)------------------------------
% 6.82/1.73 % (2539468)------------------------------
% 6.82/1.73 % (2539469)------------------------------
% 6.82/1.73 % (2539469)------------------------------
% 6.82/1.73 % (2539539)lrs+10_1_sil=8000:sp=occurrence:random_seed=542564101:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.82/1.73 % (2539539)Refutation not found, incomplete strategy
% 6.82/1.73 % (2539539)------------------------------
% 6.82/1.73 % (2539539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.73 % (2539539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.73 % (2539539)CaDiCaL version: 2.1.3
% 6.82/1.73 % (2539539)Termination reason: Refutation not found, incomplete strategy
% 10.32/2.03 % (2539539)Time elapsed: 0.0000 s
% 10.32/2.03 % (2539539)Peak memory usage: 87 MB
% 10.32/2.03 % (2539556)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1953938556:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.32/2.03 % (2539557)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=1224428056:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.32/2.03 % (2539555)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3671892365:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.32/2.03 % (2539556)Refutation not found, incomplete strategy
% 10.32/2.03 % (2539556)------------------------------
% 10.32/2.03 % (2539556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.03 % (2539555)Refutation not found, incomplete strategy
% 10.32/2.03 % (2539555)------------------------------
% 10.32/2.03 % (2539555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.03 % (2539556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.03 % (2539555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.03 % (2539556)CaDiCaL version: 2.1.3
% 10.32/2.03 % (2539555)CaDiCaL version: 2.1.3
% 10.32/2.03 % (2539556)Termination reason: Refutation not found, incomplete strategy
% 10.32/2.03 % (2539556)Time elapsed: 0.0000 s
% 10.32/2.03 % (2539555)Termination reason: Refutation not found, incomplete strategy
% 10.32/2.03 % (2539555)Time elapsed: 0.0000 s
% 10.32/2.03 % (2539555)Peak memory usage: 87 MB
% 10.32/2.03 % (2539556)Peak memory usage: 87 MB
% 10.32/2.03 % (2539466)Refutation not found, incomplete strategy
% 10.32/2.03 % (2539466)------------------------------
% 10.32/2.03 % (2539466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.03 % (2539466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.03 % (2539466)CaDiCaL version: 2.1.3
% 10.32/2.03 % (2539466)Termination reason: Refutation not found, incomplete strategy
% 10.32/2.03 % (2539466)Time elapsed: 0.311 s
% 10.32/2.03 % (2539466)Peak memory usage: 124 MB
% 10.32/2.03 % (2539466)Instructions burned: 824 (million)
% 10.32/2.03 % (2539539)------------------------------
% 10.32/2.03 % (2539539)------------------------------
% 10.32/2.03 % (2539557)Instruction limit reached!
% 10.32/2.03 % (2539557)------------------------------
% 10.32/2.03 % (2539557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.03 % (2539557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.03 % (2539557)CaDiCaL version: 2.1.3
% 10.32/2.03 % (2539557)Termination reason: Instruction limit
% 10.32/2.03 % (2539557)Termination phase: Saturation
% 10.32/2.03 % (2539557)Time elapsed: 0.089 s
% 10.32/2.03 % (2539557)Peak memory usage: 92 MB
% 10.32/2.03 % (2539557)Instructions burned: 250 (million)
% 10.32/2.03 % (2539556)------------------------------
% 10.32/2.03 % (2539556)------------------------------
% 10.32/2.03 % (2539555)------------------------------
% 10.32/2.03 % (2539555)------------------------------
% 10.32/2.03 % (2539562)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3409895237:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.32/2.03 % (2539562)Refutation not found, incomplete strategy
% 10.32/2.03 % (2539562)------------------------------
% 10.32/2.03 % (2539562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.03 % (2539562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.03 % (2539562)CaDiCaL version: 2.1.3
% 10.32/2.03 % (2539562)Termination reason: Refutation not found, incomplete strategy
% 10.32/2.03 % (2539562)Time elapsed: 0.0000 s
% 10.32/2.03 % (2539562)Peak memory usage: 87 MB
% 10.32/2.03 % (2539466)------------------------------
% 10.32/2.03 % (2539466)------------------------------
% 10.32/2.03 % (2539563)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3083495939:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.32/2.03 % (2539565)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4246278982:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.32/2.03 % (2539564)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1739858765:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.32/2.03 % (2539564)Refutation not found, incomplete strategy
% 10.32/2.03 % (2539564)------------------------------
% 10.79/2.13 % (2539564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.13 % (2539564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.13 % (2539564)CaDiCaL version: 2.1.3
% 10.79/2.13 % (2539564)Termination reason: Refutation not found, incomplete strategy
% 10.79/2.13 % (2539564)Time elapsed: 0.001 s
% 10.79/2.13 % (2539564)Peak memory usage: 87 MB
% 10.79/2.13 % (2539565)Instruction limit reached!
% 10.79/2.13 % (2539565)------------------------------
% 10.79/2.13 % (2539565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.13 % (2539565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.13 % (2539565)CaDiCaL version: 2.1.3
% 10.79/2.13 % (2539565)Termination reason: Instruction limit
% 10.79/2.13 % (2539565)Termination phase: Saturation
% 10.79/2.13 % (2539565)Time elapsed: 0.039 s
% 10.79/2.13 % (2539565)Peak memory usage: 88 MB
% 10.79/2.13 % (2539565)Instructions burned: 128 (million)
% 10.79/2.13 % (2539567)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=786115787:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.79/2.13 % (2539567)Refutation not found, incomplete strategy
% 10.79/2.13 % (2539567)------------------------------
% 10.79/2.13 % (2539567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.13 % (2539567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.13 % (2539567)CaDiCaL version: 2.1.3
% 10.79/2.13 % (2539567)Termination reason: Refutation not found, incomplete strategy
% 10.79/2.13 % (2539567)Time elapsed: 0.0000 s
% 10.79/2.13 % (2539567)Peak memory usage: 87 MB
% 10.79/2.13 % (2539562)------------------------------
% 10.79/2.13 % (2539562)------------------------------
% 10.79/2.13 % (2539564)------------------------------
% 10.79/2.13 % (2539564)------------------------------
% 10.79/2.13 % (2539571)lrs+10_1_sil=8000:sp=occurrence:random_seed=3748745451:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.79/2.13 % (2539567)------------------------------
% 10.79/2.13 % (2539567)------------------------------
% 10.79/2.13 % (2539573)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1873691433:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.79/2.13 % (2539573)Refutation not found, incomplete strategy
% 10.79/2.13 % (2539573)------------------------------
% 10.79/2.13 % (2539573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.13 % (2539573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.13 % (2539573)CaDiCaL version: 2.1.3
% 10.79/2.13 % (2539573)Termination reason: Refutation not found, incomplete strategy
% 10.79/2.13 % (2539573)Time elapsed: 0.0000 s
% 10.79/2.13 % (2539573)Peak memory usage: 88 MB
% 10.79/2.13 % (2539575)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3434157714:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 10.79/2.13 % (2539577)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3476080724:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2991 on theBenchmark for (2991ds/134Mi)
% 10.79/2.13 % (2539577)Refutation not found, incomplete strategy
% 10.79/2.13 % (2539577)------------------------------
% 10.79/2.13 % (2539577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.13 % (2539577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.13 % (2539577)CaDiCaL version: 2.1.3
% 10.79/2.13 % (2539577)Termination reason: Refutation not found, incomplete strategy
% 10.79/2.13 % (2539577)Time elapsed: 0.001 s
% 10.79/2.13 % (2539577)Peak memory usage: 89 MB
% 10.79/2.13 % (2539573)------------------------------
% 10.79/2.13 % (2539573)------------------------------
% 10.79/2.13 % (2539571)Instruction limit reached!
% 10.79/2.13 % (2539571)------------------------------
% 10.79/2.13 % (2539571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.13 % (2539571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.13 % (2539571)CaDiCaL version: 2.1.3
% 10.79/2.13 % (2539571)Termination reason: Instruction limit
% 10.79/2.13 % (2539571)Termination phase: Saturation
% 10.79/2.13 % (2539571)Time elapsed: 0.286 s
% 10.79/2.13 % (2539571)Peak memory usage: 99 MB
% 10.79/2.13 % (2539571)Instructions burned: 910 (million)
% 10.79/2.13 % (2539577)------------------------------
% 10.79/2.13 % (2539577)------------------------------
% 10.79/2.13 % (2539580)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2597367050:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 13.98/2.78 % (2539580)Refutation not found, incomplete strategy
% 13.98/2.78 % (2539580)------------------------------
% 13.98/2.78 % (2539580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/2.78 % (2539580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/2.78 % (2539580)CaDiCaL version: 2.1.3
% 13.98/2.78 % (2539580)Termination reason: Refutation not found, incomplete strategy
% 13.98/2.78 % (2539580)Time elapsed: 0.001 s
% 13.98/2.78 % (2539580)Peak memory usage: 88 MB
% 13.98/2.78 % (2539581)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1128494724:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 13.98/2.78 % (2539582)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1339774321:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/125Mi)
% 13.98/2.78 % (2539582)Refutation not found, incomplete strategy
% 13.98/2.78 % (2539582)------------------------------
% 13.98/2.78 % (2539582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/2.78 % (2539582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/2.78 % (2539582)CaDiCaL version: 2.1.3
% 13.98/2.78 % (2539582)Termination reason: Refutation not found, incomplete strategy
% 13.98/2.78 % (2539582)Time elapsed: 0.001 s
% 13.98/2.78 % (2539582)Peak memory usage: 87 MB
% 13.98/2.78 % (2539580)------------------------------
% 13.98/2.78 % (2539580)------------------------------
% 13.98/2.78 % (2539582)------------------------------
% 13.98/2.78 % (2539582)------------------------------
% 13.98/2.78 % (2539563)Instruction limit reached!
% 13.98/2.78 % (2539563)------------------------------
% 13.98/2.78 % (2539563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/2.78 % (2539563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/2.78 % (2539563)CaDiCaL version: 2.1.3
% 13.98/2.78 % (2539563)Termination reason: Instruction limit
% 13.98/2.78 % (2539563)Termination phase: Saturation
% 13.98/2.78 % (2539563)Time elapsed: 0.836 s
% 13.98/2.78 % (2539563)Peak memory usage: 141 MB
% 13.98/2.78 % (2539563)Instructions burned: 2354 (million)
% 13.98/2.78 % (2539586)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1854926551:i=134:gtgl=5:slsql=off:gtg=exists_sym_2986 on theBenchmark for (2986ds/134Mi)
% 13.98/2.78 [W927 15:47:51.249967100 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.98/2.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.98/2.78 [W927 15:47:51.250013450 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.98/2.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.98/2.78 [W927 15:47:51.250036291 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.98/2.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.98/2.78 [W927 15:47:51.250046241 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.98/2.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.98/2.78 [W927 15:47:51.250060584 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 13.98/2.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.98/2.78 [W927 15:47:51.250067249 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 24.40/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.40/4.07 [W927 15:47:51.250081993 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 24.40/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.40/4.07 [W927 15:47:51.250087733 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 24.40/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.40/4.07 [W927 15:47:51.250100470 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 24.40/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.40/4.07 [W927 15:47:51.250139173 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 24.40/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.40/4.07 [W927 15:47:51.250162086 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 24.40/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.40/4.07 [W927 15:47:51.250167970 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 24.40/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 24.40/4.07 % (2539586)Instruction limit reached!
% 24.40/4.07 % (2539586)------------------------------
% 24.40/4.07 % (2539586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.40/4.07 % (2539586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/4.07 % (2539586)CaDiCaL version: 2.1.3
% 24.40/4.07 % (2539586)Termination reason: Instruction limit
% 24.40/4.07 % (2539586)Termination phase: Saturation
% 24.40/4.07 % (2539586)Time elapsed: 0.052 s
% 24.40/4.07 % (2539586)Peak memory usage: 90 MB
% 24.40/4.07 % (2539586)Instructions burned: 135 (million)
% 24.40/4.07 % (2539588)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2197382645:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/431Mi)
% 24.40/4.07 % (2539587)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3747608108:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/141Mi)
% 24.40/4.07 % (2539588)Refutation not found, incomplete strategy
% 24.40/4.07 % (2539588)------------------------------
% 24.40/4.07 % (2539588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.40/4.07 % (2539587)Refutation not found, incomplete strategy
% 24.40/4.07 % (2539587)------------------------------
% 24.40/4.07 % (2539587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.40/4.07 % (2539587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/4.07 % (2539588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/4.07 % (2539588)CaDiCaL version: 2.1.3
% 24.40/4.07 % (2539587)CaDiCaL version: 2.1.3
% 24.40/4.07 % (2539588)Termination reason: Refutation not found, incomplete strategy
% 24.40/4.07 % (2539588)Time elapsed: 0.0000 s
% 24.40/4.07 % (2539587)Termination reason: Refutation not found, incomplete strategy
% 24.40/4.07 % (2539587)Time elapsed: 0.0000 s
% 24.40/4.07 % (2539588)Peak memory usage: 86 MB
% 24.40/4.07 % (2539587)Peak memory usage: 86 MB
% 24.40/4.07 % (2539581)Refutation not found, incomplete strategy
% 24.40/4.07 % (2539581)------------------------------
% 24.40/4.07 % (2539581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.40/4.07 % (2539581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/4.19 % (2539581)CaDiCaL version: 2.1.3
% 25.08/4.19 % (2539581)Termination reason: Refutation not found, incomplete strategy
% 25.08/4.19 % (2539581)Time elapsed: 0.313 s
% 25.08/4.19 % (2539581)Peak memory usage: 126 MB
% 25.08/4.19 % (2539581)Instructions burned: 826 (million)
% 25.08/4.19 % (2539590)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=861316725:i=6060:aac=none:ins=25_2984 on theBenchmark for (2984ds/6060Mi)
% 25.08/4.19 % (2539588)------------------------------
% 25.08/4.19 % (2539588)------------------------------
% 25.08/4.19 % (2539587)------------------------------
% 25.08/4.19 % (2539587)------------------------------
% 25.08/4.19 % (2539581)------------------------------
% 25.08/4.19 % (2539581)------------------------------
% 25.08/4.19 % (2539594)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2772139337:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2982 on theBenchmark for (2982ds/150Mi)
% 25.08/4.19 % (2539595)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=264193276:i=14155:bd=all_2982 on theBenchmark for (2982ds/14155Mi)
% 25.08/4.19 % (2539596)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3158361616:i=667:av=off:fsr=off_2982 on theBenchmark for (2982ds/667Mi)
% 25.08/4.19 % (2539596)Refutation not found, incomplete strategy
% 25.08/4.19 % (2539596)------------------------------
% 25.08/4.19 % (2539596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/4.19 % (2539596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/4.19 % (2539596)CaDiCaL version: 2.1.3
% 25.08/4.19 % (2539596)Termination reason: Refutation not found, incomplete strategy
% 25.08/4.19 % (2539596)Time elapsed: 0.001 s
% 25.08/4.19 % (2539596)Peak memory usage: 88 MB
% 25.08/4.19 % (2539594)Instruction limit reached!
% 25.08/4.19 % (2539594)------------------------------
% 25.08/4.19 % (2539594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/4.19 % (2539594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/4.19 % (2539594)CaDiCaL version: 2.1.3
% 25.08/4.19 % (2539594)Termination reason: Instruction limit
% 25.08/4.19 % (2539594)Termination phase: Saturation
% 25.08/4.19 % (2539594)Time elapsed: 0.048 s
% 25.08/4.19 % (2539594)Peak memory usage: 90 MB
% 25.08/4.19 % (2539594)Instructions burned: 150 (million)
% 25.08/4.19 % (2539596)------------------------------
% 25.08/4.19 % (2539596)------------------------------
% 25.08/4.19 % (2539600)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=175131792:s2a=on:i=185:s2at=1.8:fdi=4_2981 on theBenchmark for (2981ds/185Mi)
% 25.08/4.19 % (2539600)Instruction limit reached!
% 25.08/4.19 % (2539600)------------------------------
% 25.08/4.19 % (2539600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/4.19 % (2539600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/4.19 % (2539600)CaDiCaL version: 2.1.3
% 25.08/4.19 % (2539600)Termination reason: Instruction limit
% 25.08/4.19 % (2539600)Termination phase: Saturation
% 25.08/4.19 % (2539600)Time elapsed: 0.064 s
% 25.08/4.19 % (2539600)Peak memory usage: 91 MB
% 25.08/4.19 % (2539600)Instructions burned: 187 (million)
% 25.08/4.19 % (2539601)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1847372739:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2979 on theBenchmark for (2979ds/193Mi)
% 25.08/4.19 % (2539601)Refutation not found, incomplete strategy
% 25.08/4.19 % (2539601)------------------------------
% 25.08/4.19 % (2539601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.08/4.19 % (2539601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.08/4.19 % (2539601)CaDiCaL version: 2.1.3
% 25.08/4.19 % (2539601)Termination reason: Refutation not found, incomplete strategy
% 25.08/4.19 % (2539601)Time elapsed: 0.0000 s
% 25.08/4.19 % (2539601)Peak memory usage: 87 MB
% 25.08/4.19 % (2539603)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2216959473:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2978 on theBenchmark for (2978ds/4850Mi)
% 25.08/4.19 % (2539603)Refutation not found, incomplete strategy
% 25.08/4.19 % (2539603)------------------------------
% 25.08/4.19 % (2539603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.42/5.08 % (2539603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/5.08 % (2539603)CaDiCaL version: 2.1.3
% 31.42/5.08 % (2539603)Termination reason: Refutation not found, incomplete strategy
% 31.42/5.08 % (2539603)Time elapsed: 0.001 s
% 31.42/5.08 % (2539603)Peak memory usage: 88 MB
% 31.42/5.08 % (2539601)------------------------------
% 31.42/5.08 % (2539601)------------------------------
% 31.42/5.08 % (2539603)------------------------------
% 31.42/5.08 % (2539603)------------------------------
% 31.42/5.08 % (2539606)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2156371102:i=12111:sd=1:ss=included_2976 on theBenchmark for (2976ds/12111Mi)
% 31.42/5.08 % (2539607)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2526738915:i=319:kws=precedence:fsr=off_2976 on theBenchmark for (2976ds/319Mi)
% 31.42/5.08 % (2539607)Instruction limit reached!
% 31.42/5.08 % (2539607)------------------------------
% 31.42/5.08 % (2539607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.42/5.08 % (2539607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/5.08 % (2539607)CaDiCaL version: 2.1.3
% 31.42/5.08 % (2539607)Termination reason: Instruction limit
% 31.42/5.08 % (2539607)Termination phase: Saturation
% 31.42/5.08 % (2539607)Time elapsed: 0.120 s
% 31.42/5.08 % (2539607)Peak memory usage: 93 MB
% 31.42/5.08 % (2539607)Instructions burned: 321 (million)
% 31.42/5.08 % (2539575)Instruction limit reached!
% 31.42/5.08 % (2539575)------------------------------
% 31.42/5.08 % (2539575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.42/5.08 % (2539575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/5.08 % (2539575)CaDiCaL version: 2.1.3
% 31.42/5.08 % (2539575)Termination reason: Instruction limit
% 31.42/5.08 % (2539575)Termination phase: Saturation
% 31.42/5.08 % (2539575)Time elapsed: 1.669 s
% 31.42/5.08 % (2539575)Peak memory usage: 174 MB
% 31.42/5.08 % (2539575)Instructions burned: 5204 (million)
% 31.42/5.08 % (2539610)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4149094926:i=2064:ep=RST_2973 on theBenchmark for (2973ds/2064Mi)
% 31.42/5.08 % (2539610)Refutation not found, incomplete strategy
% 31.42/5.08 % (2539610)------------------------------
% 31.42/5.08 % (2539610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.42/5.08 % (2539610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/5.08 % (2539610)CaDiCaL version: 2.1.3
% 31.42/5.08 % (2539610)Termination reason: Refutation not found, incomplete strategy
% 31.42/5.08 % (2539610)Time elapsed: 0.001 s
% 31.42/5.08 % (2539610)Peak memory usage: 88 MB
% 31.42/5.08 % (2539610)Instructions burned: 1 (million)
% 31.42/5.08 % (2539611)dis-1011_128_sil=32000:random_seed=3632320532:i=3706:ep=RST:av=off_2973 on theBenchmark for (2973ds/3706Mi)
% 31.42/5.08 % (2539610)------------------------------
% 31.42/5.08 % (2539610)------------------------------
% 31.42/5.08 % (2539614)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2745402841:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2970 on theBenchmark for (2970ds/757Mi)
% 31.42/5.08 % (2539614)Refutation not found, incomplete strategy
% 31.42/5.08 % (2539614)------------------------------
% 31.42/5.08 % (2539614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.42/5.08 % (2539614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/5.08 % (2539614)CaDiCaL version: 2.1.3
% 31.42/5.08 % (2539614)Termination reason: Refutation not found, incomplete strategy
% 31.42/5.08 % (2539614)Time elapsed: 0.0000 s
% 31.42/5.08 % (2539614)Peak memory usage: 87 MB
% 31.42/5.08 % (2539614)------------------------------
% 31.42/5.08 % (2539614)------------------------------
% 31.42/5.08 % (2539616)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3368403255:i=13913:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/13913Mi)
% 31.42/5.08 % (2539590)Instruction limit reached!
% 31.42/5.08 % (2539590)------------------------------
% 31.42/5.08 % (2539590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.42/5.08 % (2539590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/5.08 % (2539590)CaDiCaL version: 2.1.3
% 31.42/5.08 % (2539590)Termination reason: Instruction limit
% 31.42/5.08 % (2539590)Termination phase: Saturation
% 36.17/5.76 % (2539590)Time elapsed: 1.852 s
% 36.17/5.76 % (2539590)Peak memory usage: 145 MB
% 36.17/5.76 % (2539590)Instructions burned: 6063 (million)
% 36.17/5.76 [W927 15:47:53.317504200 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317525739 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317546743 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317553716 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317568375 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317574905 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317589302 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317595545 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317609275 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317615615 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317629459 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 [W927 15:47:53.317635881 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 36.17/5.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 36.17/5.76 % (2539616)Refutation not found, incomplete strategy
% 36.17/5.76 % (2539616)------------------------------
% 36.17/5.76 % (2539616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.17/5.76 % (2539616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.39/5.95 % (2539616)CaDiCaL version: 2.1.3
% 37.39/5.95 % (2539616)Termination reason: Refutation not found, incomplete strategy
% 37.39/5.95 % (2539616)Time elapsed: 0.305 s
% 37.39/5.95 % (2539616)Peak memory usage: 126 MB
% 37.39/5.95 % (2539616)Instructions burned: 822 (million)
% 37.39/5.95 % (2539618)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=247064946:i=9925:aac=none_2964 on theBenchmark for (2964ds/9925Mi)
% 37.39/5.95 % (2539616)------------------------------
% 37.39/5.95 % (2539616)------------------------------
% 37.39/5.95 % (2539620)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=4247194955:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2961 on theBenchmark for (2961ds/2479Mi)
% 37.39/5.95 % (2539620)Refutation not found, incomplete strategy
% 37.39/5.95 % (2539620)------------------------------
% 37.39/5.95 % (2539620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.39/5.95 % (2539620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.39/5.95 % (2539620)CaDiCaL version: 2.1.3
% 37.39/5.95 % (2539620)Termination reason: Refutation not found, incomplete strategy
% 37.39/5.95 % (2539620)Time elapsed: 0.0000 s
% 37.39/5.95 % (2539620)Peak memory usage: 87 MB
% 37.39/5.95 % (2539620)------------------------------
% 37.39/5.95 % (2539620)------------------------------
% 37.39/5.95 % (2539611)Instruction limit reached!
% 37.39/5.95 % (2539611)------------------------------
% 37.39/5.95 % (2539611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.39/5.95 % (2539611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.39/5.95 % (2539611)CaDiCaL version: 2.1.3
% 37.39/5.95 % (2539611)Termination reason: Instruction limit
% 37.39/5.95 % (2539611)Termination phase: Saturation
% 37.39/5.95 % (2539611)Time elapsed: 1.406 s
% 37.39/5.95 % (2539611)Peak memory usage: 120 MB
% 37.39/5.95 % (2539611)Instructions burned: 3706 (million)
% 37.39/5.95 % (2539622)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2393408721:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2958 on theBenchmark for (2958ds/440Mi)
% 37.39/5.95 % (2539623)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=4077506669:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2958 on theBenchmark for (2958ds/11145Mi)
% 37.39/5.95 % (2539622)Instruction limit reached!
% 37.39/5.95 % (2539622)------------------------------
% 37.39/5.95 % (2539622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.39/5.95 % (2539622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.39/5.95 % (2539622)CaDiCaL version: 2.1.3
% 37.39/5.95 % (2539622)Termination reason: Instruction limit
% 37.39/5.95 % (2539622)Termination phase: Saturation
% 37.39/5.95 % (2539622)Time elapsed: 0.139 s
% 37.39/5.95 % (2539622)Peak memory usage: 95 MB
% 37.39/5.95 % (2539622)Instructions burned: 443 (million)
% 37.39/5.95 % (2539626)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3240713210:cts=off:i=3034:av=off:er=known:fsd=on_2956 on theBenchmark for (2956ds/3034Mi)
% 37.39/5.95 [W927 15:47:54.302620872 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302655323 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302677171 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302684299 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302700205 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302706271 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302720364 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302733676 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302748538 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302754262 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302767294 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 [W927 15:47:54.302773158 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 37.39/5.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.39/5.95 % (2539623)Refutation not found, incomplete strategy
% 37.39/5.95 % (2539623)------------------------------
% 37.39/5.95 % (2539623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.39/5.95 % (2539623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.39/5.95 % (2539623)CaDiCaL version: 2.1.3
% 37.39/5.95 % (2539623)Termination reason: Refutation not found, incomplete strategy
% 37.39/5.95 % (2539623)Time elapsed: 0.304 s
% 37.39/5.95 % (2539623)Peak memory usage: 126 MB
% 37.39/5.95 % (2539623)Instructions burned: 825 (million)
% 37.39/5.95 % (2539623)------------------------------
% 37.39/5.95 % (2539623)------------------------------
% 37.39/5.95 % (2539628)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4172821510:st=2:s2a=on:i=524:s2at=2:ss=axioms_2952 on theBenchmark for (2952ds/524Mi)
% 37.39/5.95 % (2539628)Refutation not found, incomplete strategy
% 37.39/5.95 % (2539628)------------------------------
% 37.39/5.95 % (2539628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.39/5.95 % (2539628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.39/5.95 % (2539628)CaDiCaL version: 2.1.3
% 37.39/5.95 % (2539628)Termination reason: Refutation not found, incomplete strategy
% 37.39/5.95 % (2539628)Time elapsed: 0.0000 s
% 37.39/5.95 % (2539628)Peak memory usage: 87 MB
% 37.39/5.95 % (2539628)------------------------------
% 37.39/5.95 % (2539628)------------------------------
% 37.39/5.95 % (2539630)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1885760399:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2949 on theBenchmark for (2949ds/1016Mi)
% 37.39/5.95 % (2539630)Refutation not found, incomplete strategy
% 37.39/5.95 % (2539630)------------------------------
% 37.39/5.95 % (2539630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.39/5.95 % (2539630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.39/5.95 % (2539630)CaDiCaL version: 2.1.3
% 37.39/5.95 % (2539630)Termination reason: Refutation not found, incomplete strategy
% 37.39/5.95 % (2539630)Time elapsed: 0.0000 s
% 37.39/5.95 % (2539630)Peak memory usage: 87 MB
% 37.39/5.95 % (2539595)First to succeed.
% 37.39/5.95 % (2539595)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2539383"
% 37.39/5.95 % (2539630)------------------------------
% 37.39/5.95 % (2539630)------------------------------
% 37.39/5.95 % (2539595)Refutation found. Thanks to Tanya!
% 37.39/5.95 % SZS status Theorem for theBenchmark
% 37.39/5.95 % SZS output start Proof for theBenchmark
% See solution above
% 38.06/6.05 % (2539595)------------------------------
% 38.06/6.05 % (2539595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.06/6.05 % (2539595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.06/6.05 % (2539595)CaDiCaL version: 2.1.3
% 38.06/6.05 % (2539595)Termination reason: Refutation
% 38.06/6.05 % (2539595)Time elapsed: 3.366 s
% 38.06/6.05 % (2539595)Peak memory usage: 222 MB
% 38.06/6.05 % (2539595)Instructions burned: 10714 (million)
% 38.06/6.05 % (2539595)------------------------------
% 38.06/6.05 % (2539595)------------------------------
% 38.06/6.05 % (2539383)Success in time 5.397 s
% 38.06/6.05 % Vampire exiting
%------------------------------------------------------------------------------