%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL521+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 : n017.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 11:52:50 AM UTC 2026
% Result : Theorem 31.12s 10.82s
% Output : Refutation 70.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 18
% Syntax : Number of formulae : 151 ( 68 unt; 0 def)
% Number of atoms : 265 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 217 ( 103 ~; 96 |; 2 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 293 ( 290 !; 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(f16,axiom,
( kn1
<=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kn1) ).
fof(f17,axiom,
( kn2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kn2) ).
fof(f18,axiom,
( kn3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kn3) ).
fof(f25,axiom,
( r4
<=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).
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(f28,axiom,
( op_and
=> ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_and) ).
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(f30,axiom,
( op_implies_or
=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_or) ).
fof(f32,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_op_or) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_op_implies_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_modus_ponens) ).
fof(f36,axiom,
kn1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_kn1) ).
fof(f37,axiom,
kn2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_kn2) ).
fof(f38,axiom,
kn3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_kn3) ).
fof(f40,axiom,
op_implies_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_implies_or) ).
fof(f41,axiom,
op_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_and) ).
fof(f43,conjecture,
r4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r4) ).
fof(f44,negated_conjecture,
~ r4,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ r4,
inference(flattening,[],[f44]) ).
fof(f46,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
=> r4 ),
inference(unused_predicate_definition_removal,[],[f25]) ).
fof(f47,plain,
( kn3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f48,plain,
( kn2
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f49,plain,
( kn1
=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
inference(unused_predicate_definition_removal,[],[f16]) ).
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(f52,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f51]) ).
fof(f53,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f52]) ).
fof(f55,plain,
( ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
| ~ kn1 ),
inference(ennf_transformation,[],[f49]) ).
fof(f56,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(ennf_transformation,[],[f48]) ).
fof(f57,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
| ~ kn3 ),
inference(ennf_transformation,[],[f47]) ).
fof(f58,plain,
( r4
| ? [X0,X1,X2] : ~ is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
inference(ennf_transformation,[],[f46]) ).
fof(f59,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f60,plain,
( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(ennf_transformation,[],[f28]) ).
fof(f61,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f62,plain,
( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(ennf_transformation,[],[f30]) ).
fof(f64,plain,
( r4
| ~ is_a_theorem(implies(or(sK0,or(sK1,sK2)),or(sK1,or(sK0,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f58]) ).
fof(f65,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f53]) ).
fof(f67,plain,
! [X0] :
( is_a_theorem(implies(X0,and(X0,X0)))
| ~ kn1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f68,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f69,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
| ~ kn3 ),
inference(cnf_transformation,[],[f57]) ).
fof(f70,plain,
( r4
| ~ is_a_theorem(implies(or(sK0,or(sK1,sK2)),or(sK1,or(sK0,sK2)))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f71,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f59]) ).
fof(f72,plain,
! [X0,X1] :
( and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(cnf_transformation,[],[f60]) ).
fof(f73,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f61]) ).
fof(f74,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[],[f62]) ).
fof(f76,plain,
op_or,
inference(cnf_transformation,[],[f32]) ).
fof(f77,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f79,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f80,plain,
kn1,
inference(cnf_transformation,[],[f36]) ).
fof(f81,plain,
kn2,
inference(cnf_transformation,[],[f37]) ).
fof(f82,plain,
kn3,
inference(cnf_transformation,[],[f38]) ).
fof(f84,plain,
op_implies_or,
inference(cnf_transformation,[],[f40]) ).
fof(f85,plain,
op_and,
inference(cnf_transformation,[],[f41]) ).
fof(f87,plain,
~ r4,
inference(cnf_transformation,[],[f45]) ).
fof(f89,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(forward_subsumption_resolution,[],[f74,f84]) ).
fof(f90,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f73,f77]) ).
fof(f91,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f72,f85]) ).
fof(f92,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f71,f76]) ).
fof(f93,plain,
~ is_a_theorem(implies(or(sK0,or(sK1,sK2)),or(sK1,or(sK0,sK2)))),
inference(forward_subsumption_resolution,[],[f70,f87]) ).
fof(f94,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))),
inference(forward_subsumption_resolution,[],[f69,f82]) ).
fof(f95,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
inference(forward_subsumption_resolution,[],[f68,f81]) ).
fof(f96,plain,
! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
inference(forward_subsumption_resolution,[],[f67,f80]) ).
fof(f98,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f65,f79]) ).
fof(f99,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(forward_demodulation,[],[f91,f89]) ).
fof(f100,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f92,f90]) ).
fof(f101,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0))))),
inference(backward_demodulation,[],[f94,f100]) ).
fof(f102,plain,
! [X0] : is_a_theorem(or(X0,and(not(X0),not(X0)))),
inference(superposition,[],[f96,f100]) ).
fof(f104,plain,
! [X2,X0,X1] : or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2),
inference(superposition,[],[f100,f90]) ).
fof(f105,plain,
! [X2,X0,X1] : implies(and(X0,not(X1)),X2) = or(implies(X0,X1),X2),
inference(superposition,[],[f89,f90]) ).
fof(f108,plain,
! [X0,X1] : and(not(X0),X1) = not(or(X0,not(X1))),
inference(superposition,[],[f99,f100]) ).
fof(f111,plain,
! [X2,X0,X1] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(superposition,[],[f89,f99]) ).
fof(f118,plain,
! [X0,X1] : not(implies(X0,not(X1))) = and(not(not(X0)),X1),
inference(superposition,[],[f108,f89]) ).
fof(f122,plain,
! [X2,X0,X1] : implies(or(X0,not(X1)),X2) = or(and(not(X0),X1),X2),
inference(superposition,[],[f89,f108]) ).
fof(f124,plain,
! [X0,X1] : and(X0,X1) = and(not(not(X0)),X1),
inference(forward_demodulation,[],[f118,f99]) ).
fof(f132,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),not(not(X0)))),
inference(superposition,[],[f95,f124]) ).
fof(f142,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X1),X2),or(and(X2,X0),implies(X0,X1)))),
inference(superposition,[],[f101,f90]) ).
fof(f143,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,X2),or(and(X2,X0),implies(X0,X1)))),
inference(forward_demodulation,[],[f142,f100]) ).
fof(f152,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,X2),or(and(X2,not(X0)),or(X0,X1)))),
inference(superposition,[],[f143,f100]) ).
fof(f153,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,X2),implies(implies(X2,X0),or(X0,X1)))),
inference(forward_demodulation,[],[f152,f104]) ).
fof(f154,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),or(X2,X0)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[],[f153,f98]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(or(X2,X0)) ),
inference(resolution,[],[f154,f98]) ).
fof(f163,plain,
! [X2,X0,X1] :
( is_a_theorem(or(X2,not(X0)))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[],[f159,f89]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(not(X2),X3))
| is_a_theorem(or(X3,X1)) ),
inference(resolution,[],[f163,f159]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,not(X0)))
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(superposition,[],[f163,f89]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(or(X2,X3))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(or(X3,X1)) ),
inference(forward_demodulation,[],[f164,f100]) ).
fof(f208,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(not(X0),not(X1)))
| ~ is_a_theorem(implies(X1,and(X0,X2))) ),
inference(resolution,[],[f168,f132]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,and(X0,X2)))
| is_a_theorem(or(X0,not(X1))) ),
inference(forward_demodulation,[],[f208,f100]) ).
fof(f217,plain,
! [X0] : is_a_theorem(or(X0,not(X0))),
inference(resolution,[],[f216,f96]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(or(not(X2),X1)) ),
inference(resolution,[],[f217,f171]) ).
fof(f224,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(or(X1,X0)) ),
inference(resolution,[],[f217,f159]) ).
fof(f234,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,X1))
| is_a_theorem(or(X1,X0)) ),
inference(forward_demodulation,[],[f224,f100]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(forward_demodulation,[],[f223,f89]) ).
fof(f236,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(and(X0,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f235,f96]) ).
fof(f256,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f236,f95]) ).
fof(f273,plain,
! [X0,X1] :
( is_a_theorem(or(X1,not(X0)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[],[f234,f89]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(not(X0),X2))
| is_a_theorem(or(X2,X1)) ),
inference(resolution,[],[f273,f159]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X0,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(or(X2,X1)) ),
inference(forward_demodulation,[],[f279,f100]) ).
fof(f318,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(not(X0),X2))
| is_a_theorem(or(X1,X2)) ),
inference(superposition,[],[f287,f89]) ).
fof(f321,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X0,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(or(X1,X2)) ),
inference(forward_demodulation,[],[f318,f100]) ).
fof(f394,plain,
! [X2,X0,X1] : is_a_theorem(or(and(X0,X1),or(and(not(X1),X2),not(and(X2,X0))))),
inference(superposition,[],[f101,f111]) ).
fof(f423,plain,
! [X2,X0,X1] : is_a_theorem(or(and(X0,X1),implies(or(X1,not(X2)),not(and(X2,X0))))),
inference(forward_demodulation,[],[f394,f122]) ).
fof(f468,plain,
! [X0,X1] : is_a_theorem(or(implies(X0,X1),X0)),
inference(superposition,[],[f95,f105]) ).
fof(f513,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(or(X2,X0)) ),
inference(resolution,[],[f468,f321]) ).
fof(f514,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(or(X0,X2)) ),
inference(resolution,[],[f468,f287]) ).
fof(f574,plain,
! [X2,X0,X1] : is_a_theorem(or(and(not(X1),X2),implies(or(X2,not(X0)),implies(X0,X1)))),
inference(superposition,[],[f423,f90]) ).
fof(f575,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,not(X2)),implies(or(X2,not(X0)),implies(X0,X1)))),
inference(forward_demodulation,[],[f574,f122]) ).
fof(f594,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X2,X0),implies(implies(X0,X1),not(and(not(X1),X2))))),
inference(superposition,[],[f101,f104]) ).
fof(f814,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(or(X0,X1),X2))
| is_a_theorem(or(not(X0),X2)) ),
inference(superposition,[],[f514,f100]) ).
fof(f820,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(or(X0,X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(forward_demodulation,[],[f814,f89]) ).
fof(f825,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(resolution,[],[f820,f256]) ).
fof(f839,plain,
! [X0,X1] :
( is_a_theorem(or(X0,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f825,f98]) ).
fof(f933,plain,
! [X0,X1] :
( is_a_theorem(or(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f839,f234]) ).
fof(f946,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(superposition,[],[f933,f89]) ).
fof(f950,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f946,f235]) ).
fof(f1413,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(and(not(X0),not(X0)),X1))
| is_a_theorem(or(X1,X0)) ),
inference(resolution,[],[f102,f159]) ).
fof(f1417,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(or(and(not(X0),not(X0)),X1)) ),
inference(resolution,[],[f102,f287]) ).
fof(f1435,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f1417,f104]) ).
fof(f1439,plain,
! [X0,X1] :
( ~ is_a_theorem(or(implies(not(X0),X0),X1))
| is_a_theorem(or(X1,X0)) ),
inference(forward_demodulation,[],[f1413,f105]) ).
fof(f1441,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f1435,f100]) ).
fof(f1445,plain,
! [X0,X1] :
( ~ is_a_theorem(or(or(X0,X0),X1))
| is_a_theorem(or(X1,X0)) ),
inference(forward_demodulation,[],[f1439,f100]) ).
fof(f1469,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f1441,f98]) ).
fof(f1813,plain,
! [X0,X1] :
( is_a_theorem(or(not(X0),X1))
| ~ is_a_theorem(implies(X0,or(X1,X1))) ),
inference(resolution,[],[f1445,f273]) ).
fof(f1814,plain,
! [X2,X0,X1] :
( is_a_theorem(or(not(X0),X1))
| ~ is_a_theorem(implies(X2,or(X1,X1)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f1445,f163]) ).
fof(f1827,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,or(X1,X1)))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(forward_demodulation,[],[f1814,f89]) ).
fof(f1828,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,or(X1,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f1813,f89]) ).
fof(f1837,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(or(X1,X0)) ),
inference(resolution,[],[f1828,f154]) ).
fof(f1981,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f1837,f98]) ).
fof(f2000,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1981,f468]) ).
fof(f2069,plain,
! [X0] : is_a_theorem(implies(or(X0,not(X0)),implies(X0,X0))),
inference(resolution,[],[f2000,f575]) ).
fof(f2089,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,not(X0)))
| is_a_theorem(implies(X1,implies(X0,X0))) ),
inference(resolution,[],[f2069,f950]) ).
fof(f2115,plain,
! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0))),
inference(forward_subsumption_resolution,[],[f2089,f217]) ).
fof(f2142,plain,
! [X0,X1] : is_a_theorem(or(implies(X0,X0),X1)),
inference(resolution,[],[f2115,f513]) ).
fof(f2966,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f2142,f1469]) ).
fof(f2979,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),not(and(not(X1),X0)))),
inference(resolution,[],[f2966,f594]) ).
fof(f3032,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X1),X0),implies(not(X0),X1))),
inference(superposition,[],[f2979,f90]) ).
fof(f3035,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X1),X0),or(X0,X1))),
inference(forward_demodulation,[],[f3032,f100]) ).
fof(f3051,plain,
! [X0,X1] : is_a_theorem(implies(or(X1,X0),or(X0,X1))),
inference(forward_demodulation,[],[f3035,f100]) ).
fof(f3065,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))),
inference(resolution,[],[f3051,f820]) ).
fof(f3074,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(or(X0,X1),X2))
| is_a_theorem(implies(or(X1,X0),X2)) ),
inference(resolution,[],[f3051,f235]) ).
fof(f3107,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,or(X1,or(X0,X2)))),
inference(resolution,[],[f3065,f820]) ).
fof(f3322,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X0,X1),implies(implies(X0,X2),or(X2,X1)))),
inference(resolution,[],[f3074,f153]) ).
fof(f3369,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(not(X0),X2),implies(or(X0,X1),or(X1,X2)))),
inference(superposition,[],[f3322,f100]) ).
fof(f3382,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(or(X0,X1),or(X1,X2)))),
inference(forward_demodulation,[],[f3369,f89]) ).
fof(f3398,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,X2),or(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3382,f98]) ).
fof(f3415,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X2,X0),or(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3398,f3074]) ).
fof(f3419,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,or(X0,X1)))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3398,f1827]) ).
fof(f5245,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,X1),X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f3419,f3398]) ).
fof(f5266,plain,
( ~ is_a_theorem(implies(or(sK1,sK2),or(sK1,or(sK0,sK2))))
| ~ is_a_theorem(implies(sK0,or(sK1,or(sK0,sK2)))) ),
inference(resolution,[],[f5245,f93]) ).
fof(f5300,plain,
~ is_a_theorem(implies(or(sK1,sK2),or(sK1,or(sK0,sK2)))),
inference(forward_subsumption_resolution,[],[f5266,f3107]) ).
fof(f5301,plain,
~ is_a_theorem(implies(sK2,or(sK0,sK2))),
inference(resolution,[],[f5300,f3415]) ).
fof(f5309,plain,
$false,
inference(forward_subsumption_resolution,[],[f5301,f3065]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL521+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n017.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:51:20 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 10.89/2.51 % (2762839)Detected formulas, will run a generic FOF schedule.
% 10.89/2.51 % (2762849)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2796588297:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.89/2.51 % (2762847)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4218689832:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.89/2.51 % (2762846)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=1566291299:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.89/2.51 % (2762845)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=3308742771:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.89/2.51 % (2762848)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1951267567:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.89/2.51 % (2762844)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=2429711010:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.89/2.51 % (2762850)dis-21_1_sil=8000:lcm=predicate:random_seed=3121422552: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)
% 10.89/2.51 % (2762848)Refutation not found, incomplete strategy
% 10.89/2.51 % (2762848)------------------------------
% 10.89/2.51 % (2762848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.51 % (2762848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.51 % (2762847)Refutation not found, incomplete strategy
% 10.89/2.51 % (2762847)------------------------------
% 10.89/2.51 % (2762847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.51 % (2762848)CaDiCaL version: 2.1.3
% 10.89/2.51 % (2762847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.51 % (2762848)Termination reason: Refutation not found, incomplete strategy
% 10.89/2.51 % (2762848)Time elapsed: 0.001 s
% 10.89/2.51 % (2762848)Peak memory usage: 86 MB
% 10.89/2.51 % (2762847)CaDiCaL version: 2.1.3
% 10.89/2.51 % (2762847)Termination reason: Refutation not found, incomplete strategy
% 10.89/2.51 % (2762847)Time elapsed: 0.001 s
% 10.89/2.51 % (2762847)Peak memory usage: 86 MB
% 10.89/2.51 % (2762849)Instruction limit reached!
% 10.89/2.51 % (2762849)------------------------------
% 10.89/2.51 % (2762849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.51 % (2762849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.51 % (2762849)CaDiCaL version: 2.1.3
% 10.89/2.51 % (2762849)Termination reason: Instruction limit
% 10.89/2.51 % (2762849)Termination phase: Saturation
% 10.89/2.51 % (2762849)Time elapsed: 0.049 s
% 10.89/2.51 % (2762849)Peak memory usage: 90 MB
% 10.89/2.51 % (2762849)Instructions burned: 142 (million)
% 10.89/2.51 % (2762850)Refutation not found, incomplete strategy
% 10.89/2.51 % (2762850)------------------------------
% 10.89/2.51 % (2762850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.51 % (2762850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.51 % (2762850)CaDiCaL version: 2.1.3
% 10.89/2.51 % (2762850)Termination reason: Refutation not found, incomplete strategy
% 10.89/2.51 % (2762850)Time elapsed: 0.002 s
% 10.89/2.51 % (2762850)Peak memory usage: 88 MB
% 10.89/2.51 % (2762850)Instructions burned: 1 (million)
% 10.89/2.51 % (2762858)lrs+10_1_sil=8000:sp=occurrence:random_seed=3288581829:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.89/2.51 % (2762858)Refutation not found, incomplete strategy
% 10.89/2.51 % (2762858)------------------------------
% 10.89/2.51 % (2762858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.51 % (2762858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.51 % (2762858)CaDiCaL version: 2.1.3
% 10.89/2.51 % (2762858)Termination reason: Refutation not found, incomplete strategy
% 10.89/2.51 % (2762858)Time elapsed: 0.0000 s
% 10.89/2.51 % (2762858)Peak memory usage: 87 MB
% 10.89/2.51 % (2762850)------------------------------
% 10.89/2.51 % (2762850)------------------------------
% 10.89/2.51 % (2762848)------------------------------
% 10.89/2.51 % (2762848)------------------------------
% 15.64/3.06 % (2762847)------------------------------
% 15.64/3.06 % (2762847)------------------------------
% 15.64/3.06 % (2762858)------------------------------
% 15.64/3.06 % (2762858)------------------------------
% 15.64/3.06 % (2762862)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=772552393:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.64/3.06 % (2762861)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3414486497:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.64/3.06 % (2762860)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4240916184:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 15.64/3.06 % (2762861)Refutation not found, incomplete strategy
% 15.64/3.06 % (2762861)------------------------------
% 15.64/3.06 % (2762861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.06 % (2762861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.06 % (2762860)Refutation not found, incomplete strategy
% 15.64/3.06 % (2762860)------------------------------
% 15.64/3.06 % (2762860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.06 % (2762860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.06 % (2762861)CaDiCaL version: 2.1.3
% 15.64/3.06 % (2762861)Termination reason: Refutation not found, incomplete strategy
% 15.64/3.06 % (2762861)Time elapsed: 0.001 s
% 15.64/3.06 % (2762860)CaDiCaL version: 2.1.3
% 15.64/3.06 % (2762861)Peak memory usage: 87 MB
% 15.64/3.06 % (2762860)Termination reason: Refutation not found, incomplete strategy
% 15.64/3.06 % (2762860)Time elapsed: 0.001 s
% 15.64/3.06 % (2762860)Peak memory usage: 87 MB
% 15.64/3.06 % (2762863)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1616152778:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.64/3.06 % (2762863)Refutation not found, incomplete strategy
% 15.64/3.06 % (2762863)------------------------------
% 15.64/3.06 % (2762863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.06 % (2762863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.06 % (2762863)CaDiCaL version: 2.1.3
% 15.64/3.06 % (2762863)Termination reason: Refutation not found, incomplete strategy
% 15.64/3.06 % (2762863)Time elapsed: 0.0000 s
% 15.64/3.06 % (2762863)Peak memory usage: 87 MB
% 15.64/3.06 % (2762863)------------------------------
% 15.64/3.06 % (2762863)------------------------------
% 15.64/3.06 % (2762862)Instruction limit reached!
% 15.64/3.06 % (2762862)------------------------------
% 15.64/3.06 % (2762862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.06 % (2762862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.06 % (2762862)CaDiCaL version: 2.1.3
% 15.64/3.06 % (2762862)Termination reason: Instruction limit
% 15.64/3.06 % (2762862)Termination phase: Saturation
% 15.64/3.06 % (2762862)Time elapsed: 0.165 s
% 15.64/3.06 % (2762862)Peak memory usage: 93 MB
% 15.64/3.06 % (2762862)Instructions burned: 249 (million)
% 15.64/3.06 % (2762846)Refutation not found, incomplete strategy
% 15.64/3.06 % (2762846)------------------------------
% 15.64/3.06 % (2762846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.06 % (2762846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.06 % (2762846)CaDiCaL version: 2.1.3
% 15.64/3.06 % (2762846)Termination reason: Refutation not found, incomplete strategy
% 15.64/3.06 % (2762846)Time elapsed: 0.565 s
% 15.64/3.06 % (2762846)Peak memory usage: 125 MB
% 15.64/3.06 % (2762846)Instructions burned: 829 (million)
% 15.64/3.06 % (2762861)------------------------------
% 15.64/3.06 % (2762861)------------------------------
% 15.64/3.06 % (2762860)------------------------------
% 15.64/3.06 % (2762860)------------------------------
% 15.64/3.06 % (2762868)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3504428593:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 15.64/3.06 % (2762869)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2979178504:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 15.64/3.06 % (2762869)Refutation not found, incomplete strategy
% 15.64/3.06 % (2762869)------------------------------
% 15.64/3.06 % (2762869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.64/3.06 % (2762869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.22 % (2762869)CaDiCaL version: 2.1.3
% 16.69/3.22 % (2762869)Termination reason: Refutation not found, incomplete strategy
% 16.69/3.22 % (2762869)Time elapsed: 0.001 s
% 16.69/3.22 % (2762869)Peak memory usage: 88 MB
% 16.69/3.22 % (2762870)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1730396398:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 16.69/3.22 % (2762871)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=224251804:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 16.69/3.22 % (2762871)Refutation not found, incomplete strategy
% 16.69/3.22 % (2762871)------------------------------
% 16.69/3.22 % (2762871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.22 % (2762871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.22 % (2762871)CaDiCaL version: 2.1.3
% 16.69/3.22 % (2762871)Termination reason: Refutation not found, incomplete strategy
% 16.69/3.22 % (2762871)Time elapsed: 0.001 s
% 16.69/3.22 % (2762871)Peak memory usage: 87 MB
% 16.69/3.22 % (2762846)------------------------------
% 16.69/3.22 % (2762846)------------------------------
% 16.69/3.22 % (2762870)Instruction limit reached!
% 16.69/3.22 % (2762870)------------------------------
% 16.69/3.22 % (2762870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.22 % (2762870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.22 % (2762870)CaDiCaL version: 2.1.3
% 16.69/3.22 % (2762870)Termination reason: Instruction limit
% 16.69/3.22 % (2762870)Termination phase: Saturation
% 16.69/3.22 % (2762870)Time elapsed: 0.067 s
% 16.69/3.22 % (2762870)Peak memory usage: 88 MB
% 16.69/3.22 % (2762870)Instructions burned: 129 (million)
% 16.69/3.22 % (2762869)------------------------------
% 16.69/3.22 % (2762869)------------------------------
% 16.69/3.22 % (2762876)lrs+10_1_sil=8000:sp=occurrence:random_seed=3210095212:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 16.69/3.22 % (2762877)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2888647325:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 16.69/3.22 % (2762877)Refutation not found, incomplete strategy
% 16.69/3.22 % (2762877)------------------------------
% 16.69/3.22 % (2762877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.22 % (2762877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.22 % (2762877)CaDiCaL version: 2.1.3
% 16.69/3.22 % (2762877)Termination reason: Refutation not found, incomplete strategy
% 16.69/3.22 % (2762877)Time elapsed: 0.001 s
% 16.69/3.22 % (2762877)Peak memory usage: 88 MB
% 16.69/3.22 % (2762871)------------------------------
% 16.69/3.22 % (2762871)------------------------------
% 16.69/3.22 % (2762878)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3833568313:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 16.69/3.22 % (2762881)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3513393960:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 16.69/3.22 % (2762881)Refutation not found, incomplete strategy
% 16.69/3.22 % (2762881)------------------------------
% 16.69/3.22 % (2762881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.22 % (2762881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.22 % (2762881)CaDiCaL version: 2.1.3
% 16.69/3.22 % (2762881)Termination reason: Refutation not found, incomplete strategy
% 16.69/3.22 % (2762881)Time elapsed: 0.001 s
% 16.69/3.22 % (2762881)Peak memory usage: 88 MB
% 16.69/3.22 % (2762877)------------------------------
% 16.69/3.22 % (2762877)------------------------------
% 16.69/3.22 % (2762884)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2768476074:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 16.69/3.22 % (2762884)Refutation not found, incomplete strategy
% 16.69/3.22 % (2762884)------------------------------
% 16.69/3.22 % (2762884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.22 % (2762884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.22 % (2762884)CaDiCaL version: 2.1.3
% 16.69/3.22 % (2762884)Termination reason: Refutation not found, incomplete strategy
% 16.69/3.22 % (2762884)Time elapsed: 0.001 s
% 16.69/3.22 % (2762884)Peak memory usage: 88 MB
% 22.78/4.07 % (2762881)------------------------------
% 22.78/4.07 % (2762881)------------------------------
% 22.78/4.07 % (2762876)Instruction limit reached!
% 22.78/4.07 % (2762876)------------------------------
% 22.78/4.07 % (2762876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.07 % (2762876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.07 % (2762876)CaDiCaL version: 2.1.3
% 22.78/4.07 % (2762876)Termination reason: Instruction limit
% 22.78/4.07 % (2762876)Termination phase: Saturation
% 22.78/4.07 % (2762876)Time elapsed: 0.546 s
% 22.78/4.07 % (2762876)Peak memory usage: 101 MB
% 22.78/4.07 % (2762876)Instructions burned: 908 (million)
% 22.78/4.07 % (2762886)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1811955244:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 22.78/4.07 % (2762887)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=2243884489:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 22.78/4.07 % (2762887)Refutation not found, incomplete strategy
% 22.78/4.07 % (2762887)------------------------------
% 22.78/4.07 % (2762887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.07 % (2762887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.07 % (2762887)CaDiCaL version: 2.1.3
% 22.78/4.07 % (2762887)Termination reason: Refutation not found, incomplete strategy
% 22.78/4.07 % (2762887)Time elapsed: 0.001 s
% 22.78/4.07 % (2762887)Peak memory usage: 87 MB
% 22.78/4.07 % (2762884)------------------------------
% 22.78/4.07 % (2762884)------------------------------
% 22.78/4.07 % (2762890)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3624808718:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 22.78/4.07 % (2762887)------------------------------
% 22.78/4.07 % (2762887)------------------------------
% 22.78/4.07 % (2762868)Instruction limit reached!
% 22.78/4.07 % (2762868)------------------------------
% 22.78/4.07 % (2762868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.07 % (2762868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.07 % (2762868)CaDiCaL version: 2.1.3
% 22.78/4.07 % (2762868)Termination reason: Instruction limit
% 22.78/4.07 % (2762868)Termination phase: Saturation
% 22.78/4.07 % (2762868)Time elapsed: 1.276 s
% 22.78/4.07 % (2762868)Peak memory usage: 141 MB
% 22.78/4.07 % (2762868)Instructions burned: 2351 (million)
% 22.78/4.07 % (2762890)Instruction limit reached!
% 22.78/4.07 % (2762890)------------------------------
% 22.78/4.07 % (2762890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.07 % (2762890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.07 % (2762890)CaDiCaL version: 2.1.3
% 22.78/4.07 % (2762890)Termination reason: Instruction limit
% 22.78/4.07 % (2762890)Termination phase: Saturation
% 22.78/4.07 % (2762890)Time elapsed: 0.082 s
% 22.78/4.07 % (2762890)Peak memory usage: 89 MB
% 22.78/4.07 % (2762890)Instructions burned: 134 (million)
% 22.78/4.07 [W927 15:51:23.481599666 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.
% 22.78/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.78/4.07 [W927 15:51:23.481660790 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.
% 22.78/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.78/4.07 [W927 15:51:23.481698737 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.
% 22.78/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.78/4.07 [W927 15:51:23.481710414 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.
% 22.78/4.07 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.16/6.21 [W927 15:51:23.481737791 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.
% 38.16/6.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.16/6.21 [W927 15:51:23.481748197 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.
% 38.16/6.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.16/6.21 [W927 15:51:23.481773934 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.
% 38.16/6.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.16/6.21 [W927 15:51:23.481840151 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.
% 38.16/6.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.16/6.21 [W927 15:51:23.481875688 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.
% 38.16/6.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.16/6.21 [W927 15:51:23.481886252 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.
% 38.16/6.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.16/6.21 [W927 15:51:23.481910818 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.
% 38.16/6.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.16/6.21 [W927 15:51:23.481921652 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.
% 38.16/6.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.16/6.21 % (2762893)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1602713633:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 38.16/6.21 % (2762892)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1016131632:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 38.16/6.21 % (2762893)Refutation not found, incomplete strategy
% 38.16/6.21 % (2762893)------------------------------
% 38.16/6.21 % (2762893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.16/6.21 % (2762892)Refutation not found, incomplete strategy
% 38.16/6.21 % (2762892)------------------------------
% 38.16/6.21 % (2762892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.16/6.21 % (2762893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.16/6.21 % (2762892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.16/6.21 % (2762892)CaDiCaL version: 2.1.3
% 38.16/6.21 % (2762893)CaDiCaL version: 2.1.3
% 38.16/6.21 % (2762892)Termination reason: Refutation not found, incomplete strategy
% 38.16/6.21 % (2762892)Time elapsed: 0.001 s
% 38.16/6.21 % (2762893)Termination reason: Refutation not found, incomplete strategy
% 38.16/6.21 % (2762893)Time elapsed: 0.001 s
% 38.16/6.21 % (2762893)Peak memory usage: 86 MB
% 38.16/6.21 % (2762892)Peak memory usage: 87 MB
% 38.16/6.21 % (2762894)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=1336193640:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 38.16/6.21 % (2762886)Refutation not found, incomplete strategy
% 40.98/6.65 % (2762886)------------------------------
% 40.98/6.65 % (2762886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.98/6.65 % (2762886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.98/6.65 % (2762886)CaDiCaL version: 2.1.3
% 40.98/6.65 % (2762886)Termination reason: Refutation not found, incomplete strategy
% 40.98/6.65 % (2762886)Time elapsed: 0.546 s
% 40.98/6.65 % (2762886)Peak memory usage: 126 MB
% 40.98/6.65 % (2762886)Instructions burned: 821 (million)
% 40.98/6.65 % (2762893)------------------------------
% 40.98/6.65 % (2762893)------------------------------
% 40.98/6.65 % (2762892)------------------------------
% 40.98/6.65 % (2762892)------------------------------
% 40.98/6.65 % (2762886)------------------------------
% 40.98/6.65 % (2762886)------------------------------
% 40.98/6.65 % (2762899)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2996025680:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 40.98/6.65 % (2762898)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=3084969497:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 40.98/6.65 % (2762898)Instruction limit reached!
% 40.98/6.65 % (2762898)------------------------------
% 40.98/6.65 % (2762898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.98/6.65 % (2762898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.98/6.65 % (2762898)CaDiCaL version: 2.1.3
% 40.98/6.65 % (2762898)Termination reason: Instruction limit
% 40.98/6.65 % (2762898)Termination phase: Saturation
% 40.98/6.65 % (2762900)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=364804018:i=667:av=off:fsr=off_2973 on theBenchmark for (2973ds/667Mi)
% 40.98/6.65 % (2762898)Time elapsed: 0.093 s
% 40.98/6.65 % (2762898)Peak memory usage: 90 MB
% 40.98/6.65 % (2762898)Instructions burned: 151 (million)
% 40.98/6.65 % (2762900)Refutation not found, incomplete strategy
% 40.98/6.65 % (2762900)------------------------------
% 40.98/6.65 % (2762900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.98/6.65 % (2762900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.98/6.65 % (2762900)CaDiCaL version: 2.1.3
% 40.98/6.65 % (2762900)Termination reason: Refutation not found, incomplete strategy
% 40.98/6.65 % (2762900)Time elapsed: 0.001 s
% 40.98/6.65 % (2762900)Peak memory usage: 88 MB
% 40.98/6.65 % (2762900)Instructions burned: 1 (million)
% 40.98/6.65 % (2762904)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=2826719637:s2a=on:i=185:s2at=1.8:fdi=4_2972 on theBenchmark for (2972ds/185Mi)
% 40.98/6.65 % (2762900)------------------------------
% 40.98/6.65 % (2762900)------------------------------
% 40.98/6.65 % (2762904)Instruction limit reached!
% 40.98/6.65 % (2762904)------------------------------
% 40.98/6.65 % (2762904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.98/6.65 % (2762904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.98/6.65 % (2762904)CaDiCaL version: 2.1.3
% 40.98/6.65 % (2762904)Termination reason: Instruction limit
% 40.98/6.65 % (2762904)Termination phase: Saturation
% 40.98/6.65 % (2762904)Time elapsed: 0.110 s
% 40.98/6.65 % (2762904)Peak memory usage: 90 MB
% 40.98/6.65 % (2762904)Instructions burned: 185 (million)
% 40.98/6.65 % (2762906)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2564137149:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2969 on theBenchmark for (2969ds/193Mi)
% 40.98/6.65 % (2762906)Refutation not found, incomplete strategy
% 40.98/6.65 % (2762906)------------------------------
% 40.98/6.65 % (2762906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.98/6.65 % (2762906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.98/6.65 % (2762906)CaDiCaL version: 2.1.3
% 40.98/6.65 % (2762906)Termination reason: Refutation not found, incomplete strategy
% 40.98/6.65 % (2762906)Time elapsed: 0.001 s
% 40.98/6.65 % (2762906)Peak memory usage: 87 MB
% 40.98/6.65 % (2762907)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3819482893:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2969 on theBenchmark for (2969ds/4850Mi)
% 40.98/6.65 % (2762907)Refutation not found, incomplete strategy
% 40.98/6.65 % (2762907)------------------------------
% 49.30/7.95 % (2762907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.30/7.95 % (2762907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.30/7.95 % (2762907)CaDiCaL version: 2.1.3
% 49.30/7.95 % (2762907)Termination reason: Refutation not found, incomplete strategy
% 49.30/7.95 % (2762907)Time elapsed: 0.001 s
% 49.30/7.95 % (2762907)Peak memory usage: 88 MB
% 49.30/7.95 % (2762906)------------------------------
% 49.30/7.95 % (2762906)------------------------------
% 49.30/7.95 % (2762907)------------------------------
% 49.30/7.95 % (2762907)------------------------------
% 49.30/7.95 % (2762910)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1534226672:i=12111:sd=1:ss=included_2965 on theBenchmark for (2965ds/12111Mi)
% 49.30/7.95 % (2762911)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3747635010:i=319:kws=precedence:fsr=off_2965 on theBenchmark for (2965ds/319Mi)
% 49.30/7.95 % (2762911)Instruction limit reached!
% 49.30/7.95 % (2762911)------------------------------
% 49.30/7.95 % (2762911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.30/7.95 % (2762911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.30/7.95 % (2762911)CaDiCaL version: 2.1.3
% 49.30/7.95 % (2762911)Termination reason: Instruction limit
% 49.30/7.95 % (2762911)Termination phase: Saturation
% 49.30/7.95 % (2762911)Time elapsed: 0.202 s
% 49.30/7.95 % (2762911)Peak memory usage: 94 MB
% 49.30/7.95 % (2762911)Instructions burned: 319 (million)
% 49.30/7.95 % (2762914)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3003986051:i=2064:ep=RST_2961 on theBenchmark for (2961ds/2064Mi)
% 49.30/7.95 % (2762914)Refutation not found, incomplete strategy
% 49.30/7.95 % (2762914)------------------------------
% 49.30/7.95 % (2762914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.30/7.95 % (2762914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.30/7.95 % (2762914)CaDiCaL version: 2.1.3
% 49.30/7.95 % (2762914)Termination reason: Refutation not found, incomplete strategy
% 49.30/7.95 % (2762914)Time elapsed: 0.002 s
% 49.30/7.95 % (2762914)Peak memory usage: 88 MB
% 49.30/7.95 % (2762914)Instructions burned: 1 (million)
% 49.30/7.95 % (2762914)------------------------------
% 49.30/7.95 % (2762914)------------------------------
% 49.30/7.95 % (2762916)dis-1011_128_sil=32000:random_seed=848643000:i=3706:ep=RST:av=off_2957 on theBenchmark for (2957ds/3706Mi)
% 49.30/7.95 % (2762878)Instruction limit reached!
% 49.30/7.95 % (2762878)------------------------------
% 49.30/7.95 % (2762878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.30/7.95 % (2762878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.30/7.95 % (2762878)CaDiCaL version: 2.1.3
% 49.30/7.95 % (2762878)Termination reason: Instruction limit
% 49.30/7.95 % (2762878)Termination phase: Saturation
% 49.30/7.95 % (2762878)Time elapsed: 3.069 s
% 49.30/7.95 % (2762878)Peak memory usage: 169 MB
% 49.30/7.95 % (2762878)Instructions burned: 5203 (million)
% 49.30/7.95 % (2762918)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1414618650:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2956 on theBenchmark for (2956ds/757Mi)
% 49.30/7.95 % (2762918)Refutation not found, incomplete strategy
% 49.30/7.95 % (2762918)------------------------------
% 49.30/7.95 % (2762918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.30/7.95 % (2762918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.30/7.95 % (2762918)CaDiCaL version: 2.1.3
% 49.30/7.95 % (2762918)Termination reason: Refutation not found, incomplete strategy
% 49.30/7.95 % (2762918)Time elapsed: 0.001 s
% 49.30/7.95 % (2762918)Peak memory usage: 87 MB
% 49.30/7.95 % (2762918)------------------------------
% 49.30/7.95 % (2762918)------------------------------
% 49.30/7.95 % (2762920)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2403637203:i=13913:ss=axioms:sgt=8_2951 on theBenchmark for (2951ds/13913Mi)
% 49.30/7.95 [W927 15:51:26.633380678 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.
% 49.30/7.95 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 49.30/7.95 [W927 15:51:26.633414052 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633451952 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633463899 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633488679 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633498993 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633584406 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633618283 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633661644 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633681517 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633706254 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 [W927 15:51:26.633716477 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.
% 57.19/8.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 57.19/8.93 % (2762920)Refutation not found, incomplete strategy
% 57.19/8.93 % (2762920)------------------------------
% 57.19/8.93 % (2762920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.19/8.93 % (2762920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.19/8.93 % (2762920)CaDiCaL version: 2.1.3
% 57.19/8.93 % (2762920)Termination reason: Refutation not found, incomplete strategy
% 57.19/8.93 % (2762920)Time elapsed: 0.545 s
% 57.19/8.93 % (2762920)Peak memory usage: 125 MB
% 57.19/8.93 % (2762920)Instructions burned: 826 (million)
% 57.19/8.93 % (2762920)------------------------------
% 57.19/8.93 % (2762920)------------------------------
% 57.19/8.93 % (2762894)Instruction limit reached!
% 57.19/8.93 % (2762894)------------------------------
% 31.12/10.82 % (2762894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.12/10.82 % (2762894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/10.82 % (2762894)CaDiCaL version: 2.1.3
% 31.12/10.82 % (2762894)Termination reason: Instruction limit
% 31.12/10.82 % (2762894)Termination phase: Saturation
% 31.12/10.82 % (2762894)Time elapsed: 3.507 s
% 31.12/10.82 % (2762894)Peak memory usage: 157 MB
% 31.12/10.82 % (2762894)Instructions burned: 6061 (million)
% 31.12/10.82 % (2762922)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3095747238:i=9925:aac=none_2942 on theBenchmark for (2942ds/9925Mi)
% 31.12/10.82 % (2762923)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=815436120:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2942 on theBenchmark for (2942ds/2479Mi)
% 31.12/10.82 % (2762923)Refutation not found, incomplete strategy
% 31.12/10.82 % (2762923)------------------------------
% 31.12/10.82 % (2762923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.12/10.82 % (2762923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/10.82 % (2762923)CaDiCaL version: 2.1.3
% 31.12/10.82 % (2762923)Termination reason: Refutation not found, incomplete strategy
% 31.12/10.82 % (2762923)Time elapsed: 0.001 s
% 31.12/10.82 % (2762923)Peak memory usage: 87 MB
% 31.12/10.82 % (2762923)------------------------------
% 31.12/10.82 % (2762923)------------------------------
% 31.12/10.82 % (2762926)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2076667150:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2937 on theBenchmark for (2937ds/440Mi)
% 31.12/10.82 % (2762916)Instruction limit reached!
% 31.12/10.82 % (2762916)------------------------------
% 31.12/10.82 % (2762916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.12/10.82 % (2762916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/10.82 % (2762916)CaDiCaL version: 2.1.3
% 31.12/10.82 % (2762916)Termination reason: Instruction limit
% 31.12/10.82 % (2762916)Termination phase: Saturation
% 31.12/10.82 % (2762916)Time elapsed: 2.172 s
% 31.12/10.82 % (2762916)Peak memory usage: 143 MB
% 31.12/10.82 % (2762916)Instructions burned: 3706 (million)
% 31.12/10.82 % (2762926)Instruction limit reached!
% 31.12/10.82 % (2762926)------------------------------
% 31.12/10.82 % (2762926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.12/10.82 % (2762926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/10.82 % (2762926)CaDiCaL version: 2.1.3
% 31.12/10.82 % (2762926)Termination reason: Instruction limit
% 31.12/10.82 % (2762926)Termination phase: Saturation
% 31.12/10.82 % (2762926)Time elapsed: 0.232 s
% 31.12/10.82 % (2762926)Peak memory usage: 94 MB
% 31.12/10.82 % (2762926)Instructions burned: 440 (million)
% 31.12/10.82 % (2762928)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1558355239:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2934 on theBenchmark for (2934ds/11145Mi)
% 31.12/10.82 % (2762929)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=2080811809:cts=off:i=3034:av=off:er=known:fsd=on_2933 on theBenchmark for (2933ds/3034Mi)
% 31.12/10.82 [W927 15:51:28.374984513 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375028190 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375066514 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375079660 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375105917 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375116657 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375156417 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375167674 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375192028 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375202964 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375227661 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 [W927 15:51:28.375238565 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.
% 31.12/10.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 31.12/10.82 % (2762928)Refutation not found, incomplete strategy
% 31.12/10.82 % (2762928)------------------------------
% 31.12/10.82 % (2762928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.12/10.82 % (2762928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/10.82 % (2762928)CaDiCaL version: 2.1.3
% 31.12/10.82 % (2762928)Termination reason: Refutation not found, incomplete strategy
% 31.12/10.82 % (2762928)Time elapsed: 0.546 s
% 31.12/10.82 % (2762928)Peak memory usage: 125 MB
% 31.12/10.82 % (2762928)Instructions burned: 826 (million)
% 31.12/10.82 % (2762928)------------------------------
% 31.12/10.82 % (2762928)------------------------------
% 31.12/10.82 % (2762932)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3178766353:st=2:s2a=on:i=524:s2at=2:ss=axioms_2924 on theBenchmark for (2924ds/524Mi)
% 31.12/10.82 % (2762932)Refutation not found, incomplete strategy
% 31.12/10.82 % (2762932)------------------------------
% 31.12/10.82 % (2762932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.12/10.82 % (2762932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/10.82 % (2762932)CaDiCaL version: 2.1.3
% 31.12/10.82 % (2762932)Termination reason: Refutation not found, incomplete strategy
% 31.12/10.82 % (2762932)Time elapsed: 0.001 s
% 31.12/10.82 % (2762932)Peak memory usage: 87 MB
% 31.12/10.82 % (2762932)------------------------------
% 31.12/10.82 % (2762932)------------------------------
% 31.12/10.82 % (2762934)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1594843254:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2920 on theBenchmark for (2920ds/1016Mi)
% 31.12/10.82 % (2762934)Refutation not found, incomplete strategy
% 31.12/10.82 % (2762934)------------------------------
% 31.12/10.82 % (2762934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.12/10.82 % (2762934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/10.82 % (2762934)CaDiCaL version: 2.1.3
% 31.12/10.82 % (2762934)Termination reason: Refutation not found, incomplete strategy
% 31.12/10.82 % (2762934)Time elapsed: 0.001 s
% 31.12/10.82 % (2762934)Peak memory usage: 87 MB
% 31.12/10.82 % (2762934)------------------------------
% 31.12/10.82 % (2762934)------------------------------
% 31.12/10.82 % (2762936)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4254299300:i=14123:bd=preordered:ins=4_2916 on theBenchmark for (2916ds/14123Mi)
% 31.12/10.82 % (2762929)Instruction limit reached!
% 31.12/10.82 % (2762929)------------------------------
% 31.12/10.82 % (2762929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.12/10.82 % (2762929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/10.82 % (2762929)CaDiCaL version: 2.1.3
% 31.12/10.82 % (2762929)Termination reason: Instruction limit
% 31.12/10.82 % (2762929)Termination phase: Saturation
% 31.12/10.82 % (2762929)Time elapsed: 1.846 s
% 31.12/10.82 % (2762929)Peak memory usage: 146 MB
% 31.12/10.82 % (2762929)Instructions burned: 3035 (million)
% 31.12/10.82 % (2762938)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1463671140:i=5781:kws=precedence:bd=all:rawr=on_2913 on theBenchmark for (2913ds/5781Mi)
% 31.12/10.82 % (2762936)First to succeed.
% 31.12/10.82 % (2762936)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2762839"
% 31.12/10.82 % (2762936)Refutation found. Thanks to Tanya!
% 31.12/10.82 % SZS status Theorem for theBenchmark
% 31.12/10.82 % SZS output start Proof for theBenchmark
% See solution above
% 70.94/11.02 % (2762936)------------------------------
% 70.94/11.02 % (2762936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.94/11.02 % (2762936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.94/11.02 % (2762936)CaDiCaL version: 2.1.3
% 70.94/11.02 % (2762936)Termination reason: Refutation
% 70.94/11.02 % (2762936)Time elapsed: 1.188 s
% 70.94/11.02 % (2762936)Peak memory usage: 137 MB
% 70.94/11.02 % (2762936)Instructions burned: 1814 (million)
% 70.94/11.02 % (2762936)------------------------------
% 70.94/11.02 % (2762936)------------------------------
% 70.94/11.02 % (2762839)Success in time 9.954 s
% 70.94/11.02 % Vampire exiting
%------------------------------------------------------------------------------