%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL516+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 6.50s 1.97s
% Output : Refutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 18
% Syntax : Number of formulae : 113 ( 48 unt; 0 def)
% Number of atoms : 202 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 162 ( 73 ~; 68 |; 2 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 2 con; 0-2 aty)
% Number of variables : 183 ( 181 !; 2 ?)
% 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/sandbox/benchmark/theBenchmark.p',modus_ponens) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f16,axiom,
( kn1
<=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn1) ).
fof(f17,axiom,
( kn2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',kn3) ).
fof(f20,axiom,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn2) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_equiv) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_op_implies_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_modus_ponens) ).
fof(f36,axiom,
kn1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn1) ).
fof(f37,axiom,
kn2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn2) ).
fof(f38,axiom,
kn3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn3) ).
fof(f39,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f40,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_op_or) ).
fof(f42,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_op_equiv) ).
fof(f43,conjecture,
cn2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn2) ).
fof(f44,negated_conjecture,
~ cn2,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ cn2,
inference(flattening,[],[f44]) ).
fof(f46,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
=> cn2 ),
inference(unused_predicate_definition_removal,[],[f20]) ).
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(f50,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
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(f57,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f50]) ).
fof(f58,plain,
( ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
| ~ kn1 ),
inference(ennf_transformation,[],[f49]) ).
fof(f59,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(ennf_transformation,[],[f48]) ).
fof(f60,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(f61,plain,
( cn2
| ? [X0,X1] : ~ is_a_theorem(implies(X0,implies(not(X0),X1))) ),
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(f64,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f65,plain,
( cn2
| ~ is_a_theorem(implies(sK0,implies(not(sK0),sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f61]) ).
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(f67,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f57]) ).
fof(f68,plain,
! [X0] :
( is_a_theorem(implies(X0,and(X0,X0)))
| ~ kn1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f69,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f70,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
| ~ kn3 ),
inference(cnf_transformation,[],[f60]) ).
fof(f71,plain,
( cn2
| ~ is_a_theorem(implies(sK0,implies(not(sK0),sK1))) ),
inference(cnf_transformation,[],[f65]) ).
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(f74,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f64]) ).
fof(f76,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f78,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f79,plain,
kn1,
inference(cnf_transformation,[],[f36]) ).
fof(f80,plain,
kn2,
inference(cnf_transformation,[],[f37]) ).
fof(f81,plain,
kn3,
inference(cnf_transformation,[],[f38]) ).
fof(f82,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f39]) ).
fof(f83,plain,
op_or,
inference(cnf_transformation,[],[f40]) ).
fof(f84,plain,
op_equiv,
inference(cnf_transformation,[],[f42]) ).
fof(f85,plain,
~ cn2,
inference(cnf_transformation,[],[f45]) ).
fof(f86,plain,
! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
inference(forward_subsumption_resolution,[],[f74,f84]) ).
fof(f87,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f73,f76]) ).
fof(f88,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f72,f83]) ).
fof(f89,plain,
~ is_a_theorem(implies(sK0,implies(not(sK0),sK1))),
inference(forward_subsumption_resolution,[],[f71,f85]) ).
fof(f90,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))),
inference(forward_subsumption_resolution,[],[f70,f81]) ).
fof(f91,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
inference(forward_subsumption_resolution,[],[f69,f80]) ).
fof(f92,plain,
! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
inference(forward_subsumption_resolution,[],[f68,f79]) ).
fof(f93,plain,
! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f67,f82]) ).
fof(f94,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f66,f78]) ).
fof(f95,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f88,f87]) ).
fof(f97,plain,
! [X2,X0,X1] : or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2),
inference(superposition,[],[f95,f87]) ).
fof(f98,plain,
~ is_a_theorem(implies(sK0,or(sK0,sK1))),
inference(superposition,[],[f89,f95]) ).
fof(f100,plain,
! [X0] :
( is_a_theorem(and(X0,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f94,f92]) ).
fof(f102,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(not(X0))
| is_a_theorem(X1) ),
inference(superposition,[],[f94,f95]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(not(and(X1,X2)),not(and(X2,X0)))) ),
inference(resolution,[],[f90,f94]) ).
fof(f105,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X2,X0),implies(implies(X0,X1),not(and(not(X1),X2))))),
inference(superposition,[],[f90,f87]) ).
fof(f106,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X1),X2),implies(not(and(X2,X0)),implies(X0,X1)))),
inference(superposition,[],[f90,f87]) ).
fof(f108,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X1),X2),or(and(X2,X0),implies(X0,X1)))),
inference(forward_demodulation,[],[f106,f95]) ).
fof(f110,plain,
! [X2,X0,X1] :
( is_a_theorem(or(and(X1,X2),not(and(X2,X0))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f103,f95]) ).
fof(f111,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,X2),or(and(X2,X0),implies(X0,X1)))),
inference(forward_demodulation,[],[f108,f95]) ).
fof(f114,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,X2),or(and(X2,not(X0)),or(X0,X1)))),
inference(superposition,[],[f111,f95]) ).
fof(f115,plain,
! [X2,X0,X1] : is_a_theorem(implies(or(X1,X2),implies(implies(X2,X0),or(X0,X1)))),
inference(forward_demodulation,[],[f114,f97]) ).
fof(f116,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),or(X2,X0)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[],[f115,f94]) ).
fof(f131,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),not(and(not(X2),X0))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f105,f94]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(or(X2,X0)) ),
inference(resolution,[],[f116,f94]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(not(and(not(X2),X0))) ),
inference(resolution,[],[f131,f94]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,and(X1,X2)))
| is_a_theorem(not(and(not(X1),X0))) ),
inference(resolution,[],[f142,f91]) ).
fof(f176,plain,
! [X0] : is_a_theorem(not(and(not(X0),X0))),
inference(resolution,[],[f153,f92]) ).
fof(f183,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[],[f176,f87]) ).
fof(f184,plain,
! [X0] : is_a_theorem(or(not(X0),X0)),
inference(forward_demodulation,[],[f183,f95]) ).
fof(f185,plain,
! [X0,X1] :
( is_a_theorem(or(X1,not(X0)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f184,f140]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(not(and(X0,X1)))
| is_a_theorem(not(and(X1,X2)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f102,f110]) ).
fof(f200,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(not(X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[],[f102,f185]) ).
fof(f203,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,not(X0)))
| is_a_theorem(not(and(X0,X1))) ),
inference(resolution,[],[f197,f176]) ).
fof(f209,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,not(X1)))
| is_a_theorem(not(and(X1,not(X0)))) ),
inference(superposition,[],[f203,f95]) ).
fof(f210,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(forward_demodulation,[],[f209,f87]) ).
fof(f212,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(and(X0,X1),and(X2,X0)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f210,f110]) ).
fof(f213,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[],[f210,f184]) ).
fof(f219,plain,
! [X0] :
( is_a_theorem(not(not(X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f213,f94]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(and(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(and(X1,X2)) ),
inference(resolution,[],[f212,f94]) ).
fof(f227,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(and(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f224,f100]) ).
fof(f250,plain,
! [X0,X1] :
( is_a_theorem(not(and(X0,X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[],[f200,f91]) ).
fof(f258,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(not(X0)) ),
inference(superposition,[],[f250,f87]) ).
fof(f266,plain,
! [X0,X1] :
( is_a_theorem(not(and(X1,X0)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[],[f258,f203]) ).
fof(f277,plain,
! [X0,X1] :
( ~ is_a_theorem(not(not(X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[],[f266,f87]) ).
fof(f278,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f277,f219]) ).
fof(f283,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f278,f227]) ).
fof(f296,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(equiv(X0,X1)) ),
inference(superposition,[],[f283,f86]) ).
fof(f298,plain,
! [X0] :
( ~ is_a_theorem(implies(not(not(X0)),X0))
| is_a_theorem(equiv(not(not(X0)),X0)) ),
inference(resolution,[],[f296,f213]) ).
fof(f312,plain,
! [X0] :
( ~ is_a_theorem(or(not(X0),X0))
| is_a_theorem(equiv(not(not(X0)),X0)) ),
inference(forward_demodulation,[],[f298,f95]) ).
fof(f315,plain,
! [X0] : is_a_theorem(equiv(not(not(X0)),X0)),
inference(forward_subsumption_resolution,[],[f312,f184]) ).
fof(f389,plain,
! [X0] : not(not(X0)) = X0,
inference(resolution,[],[f315,f93]) ).
fof(f391,plain,
! [X0,X1] : and(X0,not(X1)) = not(implies(X0,X1)),
inference(superposition,[],[f389,f87]) ).
fof(f579,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),X0)),
inference(superposition,[],[f91,f391]) ).
fof(f612,plain,
! [X0,X1] : is_a_theorem(or(implies(X0,X1),X0)),
inference(forward_demodulation,[],[f579,f95]) ).
fof(f644,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(resolution,[],[f612,f210]) ).
fof(f647,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(forward_demodulation,[],[f644,f95]) ).
fof(f648,plain,
$false,
inference(resolution,[],[f647,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL516+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:58:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.50/1.97 % (3703634)Detected formulas, will run a generic FOF schedule.
% 6.50/1.97 % (3703642)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=819776005:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.50/1.97 % (3703642)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703642)------------------------------
% 6.50/1.97 % (3703642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703642)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703642)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703642)Time elapsed: 0.0000 s
% 6.50/1.97 % (3703642)Peak memory usage: 86 MB
% 6.50/1.97 % (3703640)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=4111884838:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.50/1.97 % (3703641)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=913681021:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.50/1.97 % (3703639)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=2050189351:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.50/1.97 % (3703645)dis-21_1_sil=8000:lcm=predicate:random_seed=1963187522: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)
% 6.50/1.97 % (3703643)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3779389799:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.50/1.97 % (3703644)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4220791039:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.50/1.97 % (3703643)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703643)------------------------------
% 6.50/1.97 % (3703643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703643)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703643)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703643)Time elapsed: 0.001 s
% 6.50/1.97 % (3703643)Peak memory usage: 86 MB
% 6.50/1.97 % (3703645)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703645)------------------------------
% 6.50/1.97 % (3703645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703645)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703645)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703645)Time elapsed: 0.002 s
% 6.50/1.97 % (3703645)Peak memory usage: 88 MB
% 6.50/1.97 % (3703645)Instructions burned: 1 (million)
% 6.50/1.97 % (3703644)Instruction limit reached!
% 6.50/1.97 % (3703644)------------------------------
% 6.50/1.97 % (3703644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703644)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703644)Termination reason: Instruction limit
% 6.50/1.97 % (3703644)Termination phase: Saturation
% 6.50/1.97 % (3703644)Time elapsed: 0.092 s
% 6.50/1.97 % (3703644)Peak memory usage: 90 MB
% 6.50/1.97 % (3703644)Instructions burned: 139 (million)
% 6.50/1.97 % (3703642)------------------------------
% 6.50/1.97 % (3703642)------------------------------
% 6.50/1.97 % (3703654)lrs+10_1_sil=32000:urr=on:br=off:random_seed=257747357:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.50/1.97 % (3703654)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703654)------------------------------
% 6.50/1.97 % (3703654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703654)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703654)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703654)Time elapsed: 0.0000 s
% 6.50/1.97 % (3703654)Peak memory usage: 87 MB
% 6.50/1.97 % (3703653)lrs+10_1_sil=8000:sp=occurrence:random_seed=110634351:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.50/1.97 % (3703645)------------------------------
% 6.50/1.97 % (3703645)------------------------------
% 6.50/1.97 % (3703643)------------------------------
% 6.50/1.97 % (3703643)------------------------------
% 6.50/1.97 % (3703654)------------------------------
% 6.50/1.97 % (3703654)------------------------------
% 6.50/1.97 % (3703653)Instruction limit reached!
% 6.50/1.97 % (3703653)------------------------------
% 6.50/1.97 % (3703653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703653)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703653)Termination reason: Instruction limit
% 6.50/1.97 % (3703653)Termination phase: Saturation
% 6.50/1.97 % (3703653)Time elapsed: 0.165 s
% 6.50/1.97 % (3703653)Peak memory usage: 92 MB
% 6.50/1.97 % (3703653)Instructions burned: 286 (million)
% 6.50/1.97 % (3703657)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4084358798:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.50/1.97 % (3703658)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=1751956659:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.50/1.97 % (3703657)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703657)------------------------------
% 6.50/1.97 % (3703657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703657)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703657)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703657)Time elapsed: 0.001 s
% 6.50/1.97 % (3703657)Peak memory usage: 86 MB
% 6.50/1.97 % (3703659)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2146902466:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.50/1.97 % (3703659)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703659)------------------------------
% 6.50/1.97 % (3703659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703659)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703659)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703659)Time elapsed: 0.0000 s
% 6.50/1.97 % (3703659)Peak memory usage: 86 MB
% 6.50/1.97 % (3703660)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2989238264:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.50/1.97 % (3703658)Instruction limit reached!
% 6.50/1.97 % (3703658)------------------------------
% 6.50/1.97 % (3703658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703658)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703658)Termination reason: Instruction limit
% 6.50/1.97 % (3703658)Termination phase: Saturation
% 6.50/1.97 % (3703658)Time elapsed: 0.159 s
% 6.50/1.97 % (3703658)Peak memory usage: 92 MB
% 6.50/1.97 % (3703658)Instructions burned: 249 (million)
% 6.50/1.97 % (3703641)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703641)------------------------------
% 6.50/1.97 % (3703641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703641)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703641)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703641)Time elapsed: 0.565 s
% 6.50/1.97 % (3703641)Peak memory usage: 127 MB
% 6.50/1.97 % (3703641)Instructions burned: 826 (million)
% 6.50/1.97 % (3703659)------------------------------
% 6.50/1.97 % (3703659)------------------------------
% 6.50/1.97 % (3703657)------------------------------
% 6.50/1.97 % (3703657)------------------------------
% 6.50/1.97 % (3703665)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=284790224:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.50/1.97 % (3703665)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703665)------------------------------
% 6.50/1.97 % (3703665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703665)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703665)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703665)Time elapsed: 0.001 s
% 6.50/1.97 % (3703665)Peak memory usage: 88 MB
% 6.50/1.97 % (3703639)First to succeed.
% 6.50/1.97 % (3703666)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3616650776:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.50/1.97 % (3703639)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3703634"
% 6.50/1.97 % (3703666)Instruction limit reached!
% 6.50/1.97 % (3703666)------------------------------
% 6.50/1.97 % (3703666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703666)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703666)Termination reason: Instruction limit
% 6.50/1.97 % (3703666)Termination phase: Saturation
% 6.50/1.97 % (3703666)Time elapsed: 0.036 s
% 6.50/1.97 % (3703666)Peak memory usage: 89 MB
% 6.50/1.97 % (3703666)Instructions burned: 128 (million)
% 6.50/1.97 % (3703667)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3290011466:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.50/1.97 % (3703667)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703667)------------------------------
% 6.50/1.97 % (3703667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703667)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703667)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703667)Time elapsed: 0.001 s
% 6.50/1.97 % (3703667)Peak memory usage: 87 MB
% 6.50/1.97 % (3703641)------------------------------
% 6.50/1.97 % (3703641)------------------------------
% 6.50/1.97 % (3703670)lrs+10_1_sil=8000:sp=occurrence:random_seed=1722014332:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.50/1.97 % (3703665)------------------------------
% 6.50/1.97 % (3703665)------------------------------
% 6.50/1.97 % (3703672)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1008270195:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.50/1.97 % (3703672)Refutation not found, incomplete strategy
% 6.50/1.97 % (3703672)------------------------------
% 6.50/1.97 % (3703672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.97 % (3703672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.97 % (3703672)CaDiCaL version: 2.1.3
% 6.50/1.97 % (3703672)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.97 % (3703672)Time elapsed: 0.001 s
% 6.50/1.97 % (3703672)Peak memory usage: 88 MB
% 6.50/1.97 % (3703639)Refutation found. Thanks to Tanya!
% 6.50/1.97 % SZS status Theorem for theBenchmark
% 6.50/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.48/2.16 % (3703639)------------------------------
% 8.48/2.16 % (3703639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.48/2.16 % (3703639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/2.16 % (3703639)CaDiCaL version: 2.1.3
% 8.48/2.16 % (3703639)Termination reason: Refutation
% 8.48/2.16 % (3703639)Time elapsed: 0.713 s
% 8.48/2.16 % (3703639)Peak memory usage: 129 MB
% 8.48/2.16 % (3703639)Instructions burned: 1038 (million)
% 8.48/2.16 % (3703639)------------------------------
% 8.48/2.16 % (3703639)------------------------------
% 8.48/2.16 % (3703634)Success in time 1.12 s
% 8.48/2.16 % Vampire exiting
%------------------------------------------------------------------------------