%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL528+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 : n009.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 11:52:51 AM UTC 2026
% Result : Theorem 41.99s 6.97s
% Output : Refutation 42.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 30
% Syntax : Number of formulae : 177 ( 95 unt; 0 def)
% Number of atoms : 283 ( 62 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 183 ( 77 ~; 72 |; 2 &)
% ( 11 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 16 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 279 ( 277 !; 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(f3,axiom,
( modus_tollens
<=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_tollens) ).
fof(f4,axiom,
( implies_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_1) ).
fof(f5,axiom,
( implies_2
<=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_2) ).
fof(f6,axiom,
( implies_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_3) ).
fof(f7,axiom,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1) ).
fof(f8,axiom,
( and_2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_2) ).
fof(f9,axiom,
( and_3
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_3) ).
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',hilbert_op_implies_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_ponens) ).
fof(f36,axiom,
modus_tollens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_tollens) ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_1) ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_2) ).
fof(f39,axiom,
implies_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_3) ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(f41,axiom,
and_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_2) ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_3) ).
fof(f49,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f50,axiom,
( necessitation
<=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',necessitation) ).
fof(f63,axiom,
( axiom_m1
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m1) ).
fof(f75,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_strict_implies) ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',km5_necessitation) ).
fof(f83,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_or) ).
fof(f85,axiom,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
fof(f86,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_equiv) ).
fof(f88,conjecture,
axiom_m1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m1) ).
fof(f89,negated_conjecture,
~ axiom_m1,
inference(negated_conjecture,[status(cth)],[f88]) ).
fof(f90,plain,
~ axiom_m1,
inference(flattening,[],[f89]) ).
fof(f91,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
=> axiom_m1 ),
inference(unused_predicate_definition_removal,[],[f63]) ).
fof(f95,plain,
( necessitation
=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f102,plain,
( and_3
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f103,plain,
( and_2
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f104,plain,
( and_1
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f105,plain,
( implies_3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f106,plain,
( implies_2
=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f107,plain,
( implies_1
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f108,plain,
( modus_tollens
=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f109,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f110,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(f115,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f110]) ).
fof(f116,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f109]) ).
fof(f118,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
| ~ modus_tollens ),
inference(ennf_transformation,[],[f108]) ).
fof(f119,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(ennf_transformation,[],[f107]) ).
fof(f120,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(ennf_transformation,[],[f106]) ).
fof(f121,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ implies_3 ),
inference(ennf_transformation,[],[f105]) ).
fof(f122,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(ennf_transformation,[],[f104]) ).
fof(f123,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(ennf_transformation,[],[f103]) ).
fof(f124,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(ennf_transformation,[],[f102]) ).
fof(f131,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f132,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f133,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f134,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ necessitation ),
inference(ennf_transformation,[],[f95]) ).
fof(f138,plain,
( axiom_m1
| ? [X0,X1] : ~ is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
inference(ennf_transformation,[],[f91]) ).
fof(f140,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(ennf_transformation,[],[f75]) ).
fof(f142,plain,
( axiom_m1
| ~ is_a_theorem(strict_implies(and(sK0,sK1),and(sK1,sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f138]) ).
fof(f143,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f116]) ).
fof(f144,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f117]) ).
fof(f145,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
| ~ modus_tollens ),
inference(cnf_transformation,[],[f118]) ).
fof(f146,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[],[f119]) ).
fof(f147,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[],[f120]) ).
fof(f148,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ implies_3 ),
inference(cnf_transformation,[],[f121]) ).
fof(f149,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[],[f122]) ).
fof(f150,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[],[f123]) ).
fof(f151,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[],[f124]) ).
fof(f158,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f131]) ).
fof(f159,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f132]) ).
fof(f160,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f133]) ).
fof(f162,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f164,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f165,plain,
modus_tollens,
inference(cnf_transformation,[],[f36]) ).
fof(f166,plain,
implies_1,
inference(cnf_transformation,[],[f37]) ).
fof(f167,plain,
implies_2,
inference(cnf_transformation,[],[f38]) ).
fof(f168,plain,
implies_3,
inference(cnf_transformation,[],[f39]) ).
fof(f169,plain,
and_1,
inference(cnf_transformation,[],[f40]) ).
fof(f170,plain,
and_2,
inference(cnf_transformation,[],[f41]) ).
fof(f171,plain,
and_3,
inference(cnf_transformation,[],[f42]) ).
fof(f178,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f49]) ).
fof(f179,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0)
| ~ necessitation ),
inference(cnf_transformation,[],[f134]) ).
fof(f183,plain,
( axiom_m1
| ~ is_a_theorem(strict_implies(and(sK0,sK1),and(sK1,sK0))) ),
inference(cnf_transformation,[],[f142]) ).
fof(f185,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[],[f140]) ).
fof(f188,plain,
necessitation,
inference(cnf_transformation,[],[f78]) ).
fof(f193,plain,
op_or,
inference(cnf_transformation,[],[f83]) ).
fof(f194,plain,
op_strict_implies,
inference(cnf_transformation,[],[f85]) ).
fof(f195,plain,
op_equiv,
inference(cnf_transformation,[],[f86]) ).
fof(f197,plain,
~ axiom_m1,
inference(cnf_transformation,[],[f90]) ).
fof(f199,plain,
! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)),
inference(forward_subsumption_resolution,[],[f185,f194]) ).
fof(f201,plain,
~ is_a_theorem(strict_implies(and(sK0,sK1),and(sK1,sK0))),
inference(forward_subsumption_resolution,[],[f183,f197]) ).
fof(f205,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ),
inference(forward_subsumption_resolution,[],[f179,f188]) ).
fof(f206,plain,
! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
inference(forward_subsumption_resolution,[],[f160,f195]) ).
fof(f207,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f159,f162]) ).
fof(f208,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f158,f193]) ).
fof(f215,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
inference(forward_subsumption_resolution,[],[f151,f171]) ).
fof(f216,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)),
inference(forward_subsumption_resolution,[],[f150,f170]) ).
fof(f217,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
inference(forward_subsumption_resolution,[],[f149,f169]) ).
fof(f218,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(forward_subsumption_resolution,[],[f148,f168]) ).
fof(f219,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(forward_subsumption_resolution,[],[f147,f167]) ).
fof(f220,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(forward_subsumption_resolution,[],[f146,f166]) ).
fof(f221,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))),
inference(forward_subsumption_resolution,[],[f145,f165]) ).
fof(f222,plain,
! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f144,f178]) ).
fof(f223,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f143,f164]) ).
fof(f225,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f208,f207]) ).
fof(f226,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(superposition,[],[f205,f199]) ).
fof(f228,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)),
inference(resolution,[],[f226,f217]) ).
fof(f232,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,and(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f223,f215]) ).
fof(f233,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f232,f223]) ).
fof(f235,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f219,f223]) ).
fof(f237,plain,
! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
inference(resolution,[],[f235,f215]) ).
fof(f238,plain,
! [X0] :
( is_a_theorem(and(X0,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f237,f223]) ).
fof(f245,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f218,f223]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f245,f223]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f248,f245]) ).
fof(f259,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f220,f235]) ).
fof(f265,plain,
! [X0] : is_a_theorem(strict_implies(X0,X0)),
inference(resolution,[],[f259,f226]) ).
fof(f290,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[],[f233,f206]) ).
fof(f294,plain,
! [X0] :
( is_a_theorem(equiv(X0,X0))
| ~ is_a_theorem(implies(X0,X0)) ),
inference(superposition,[],[f238,f206]) ).
fof(f298,plain,
! [X0] : is_a_theorem(equiv(X0,X0)),
inference(forward_subsumption_resolution,[],[f294,f259]) ).
fof(f301,plain,
! [X0,X1] :
( is_a_theorem(equiv(and(X0,X1),X1))
| ~ is_a_theorem(implies(and(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f290,f232]) ).
fof(f302,plain,
! [X0] :
( is_a_theorem(equiv(and(X0,X0),X0))
| ~ is_a_theorem(implies(and(X0,X0),X0)) ),
inference(resolution,[],[f290,f237]) ).
fof(f305,plain,
! [X0,X1] :
( is_a_theorem(equiv(implies(X0,X1),implies(X0,implies(X0,X1))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X0,X1)))) ),
inference(resolution,[],[f290,f219]) ).
fof(f311,plain,
! [X0,X1] : is_a_theorem(equiv(implies(X0,X1),implies(X0,implies(X0,X1)))),
inference(forward_subsumption_resolution,[],[f305,f220]) ).
fof(f312,plain,
! [X0] : is_a_theorem(equiv(and(X0,X0),X0)),
inference(forward_subsumption_resolution,[],[f302,f216]) ).
fof(f313,plain,
! [X0,X1] :
( is_a_theorem(equiv(and(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(forward_subsumption_resolution,[],[f301,f216]) ).
fof(f372,plain,
! [X0] : and(X0,X0) = X0,
inference(resolution,[],[f222,f312]) ).
fof(f373,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| and(X0,X1) = X1 ),
inference(resolution,[],[f222,f313]) ).
fof(f374,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,implies(X0,X1)),
inference(resolution,[],[f222,f311]) ).
fof(f392,plain,
! [X0] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[],[f207,f372]) ).
fof(f395,plain,
! [X0] : or(X0,X0) = not(not(X0)),
inference(forward_demodulation,[],[f392,f225]) ).
fof(f455,plain,
! [X2,X0,X1] : and(implies(and(X0,X1),X0),X2) = X2,
inference(resolution,[],[f373,f217]) ).
fof(f464,plain,
! [X2,X0,X1] : and(strict_implies(and(X0,X1),X0),X2) = X2,
inference(resolution,[],[f373,f228]) ).
fof(f468,plain,
! [X0,X1] : and(strict_implies(X0,X0),X1) = X1,
inference(resolution,[],[f373,f265]) ).
fof(f499,plain,
! [X0,X1] : not(not(X0)) = implies(strict_implies(X1,X1),X0),
inference(superposition,[],[f207,f468]) ).
fof(f654,plain,
! [X0,X1] : implies(X0,and(X0,X1)) = equiv(and(X0,X1),X0),
inference(superposition,[],[f206,f455]) ).
fof(f772,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,and(X0,X1)))
| and(X0,X1) = X0 ),
inference(superposition,[],[f222,f654]) ).
fof(f2607,plain,
! [X0,X1] : is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(superposition,[],[f221,f225]) ).
fof(f2652,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X2))))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f255,f215]) ).
fof(f2743,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,and(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[],[f2652,f374]) ).
fof(f2778,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| and(X0,X1) = X0 ),
inference(resolution,[],[f2743,f772]) ).
fof(f2829,plain,
! [X0,X1] : and(X0,implies(X1,and(X0,X1))) = X0,
inference(resolution,[],[f2778,f215]) ).
fof(f2848,plain,
! [X0,X1] : and(X0,X1) = and(and(X0,X1),X0),
inference(resolution,[],[f2778,f217]) ).
fof(f3076,plain,
! [X2,X0,X1] : and(X0,strict_implies(and(X1,X2),X1)) = X0,
inference(superposition,[],[f2848,f464]) ).
fof(f3232,plain,
! [X2,X0,X1] : strict_implies(and(X0,X1),X0) = implies(X2,and(strict_implies(and(X0,X1),X0),X2)),
inference(superposition,[],[f464,f2829]) ).
fof(f3235,plain,
! [X2,X0,X1] : strict_implies(and(X0,X1),X0) = implies(X2,X2),
inference(forward_demodulation,[],[f3232,f464]) ).
fof(f4327,plain,
! [X2,X0,X1] : strict_implies(and(X0,X1),X0) = not(not(strict_implies(X2,X2))),
inference(superposition,[],[f499,f3235]) ).
fof(f9876,plain,
! [X2,X3,X0,X1] : implies(X2,not(strict_implies(X3,X3))) = not(and(X2,strict_implies(and(X0,X1),X0))),
inference(superposition,[],[f207,f4327]) ).
fof(f9909,plain,
! [X2,X3] : not(X2) = implies(X2,not(strict_implies(X3,X3))),
inference(forward_demodulation,[],[f9876,f3076]) ).
fof(f10033,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,not(strict_implies(X2,X2))),not(X0)))),
inference(superposition,[],[f218,f9909]) ).
fof(f10049,plain,
! [X0] : not(X0) = implies(X0,not(X0)),
inference(superposition,[],[f374,f9909]) ).
fof(f10158,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),not(X0)))),
inference(forward_demodulation,[],[f10033,f9909]) ).
fof(f10215,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(forward_demodulation,[],[f10158,f225]) ).
fof(f177449,plain,
! [X0,X1] :
( is_a_theorem(equiv(or(X0,not(X1)),implies(X1,X0)))
| ~ is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))) ),
inference(resolution,[],[f10215,f290]) ).
fof(f177986,plain,
! [X0,X1] : is_a_theorem(equiv(or(X0,not(X1)),implies(X1,X0))),
inference(forward_subsumption_resolution,[],[f177449,f2607]) ).
fof(f178033,plain,
! [X0,X1] : implies(X1,X0) = or(X0,not(X1)),
inference(resolution,[],[f177986,f222]) ).
fof(f178908,plain,
! [X0] : not(not(not(X0))) = implies(X0,not(X0)),
inference(superposition,[],[f395,f178033]) ).
fof(f178940,plain,
! [X0] : not(X0) = not(not(not(X0))),
inference(forward_demodulation,[],[f178908,f10049]) ).
fof(f179225,plain,
! [X0,X1] : implies(X1,not(not(X0))) = not(and(X1,not(X0))),
inference(superposition,[],[f207,f178940]) ).
fof(f179358,plain,
! [X0,X1] : implies(not(not(X0)),X1) = or(X1,not(X0)),
inference(superposition,[],[f178033,f178940]) ).
fof(f179359,plain,
! [X0,X1] : implies(X0,X1) = implies(not(not(X0)),X1),
inference(forward_demodulation,[],[f179358,f178033]) ).
fof(f179396,plain,
! [X0,X1] : implies(X1,X0) = implies(X1,not(not(X0))),
inference(forward_demodulation,[],[f179225,f207]) ).
fof(f179401,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(forward_demodulation,[],[f179359,f225]) ).
fof(f179834,plain,
! [X0,X1] : equiv(X0,not(not(X1))) = and(implies(X0,X1),implies(not(not(X1)),X0)),
inference(superposition,[],[f206,f179396]) ).
fof(f180214,plain,
! [X0,X1] : equiv(X0,not(not(X1))) = and(implies(X0,X1),or(not(X1),X0)),
inference(forward_demodulation,[],[f179834,f225]) ).
fof(f180619,plain,
! [X0,X1] : and(implies(X0,X1),implies(X1,X0)) = equiv(X0,not(not(X1))),
inference(forward_demodulation,[],[f180214,f179401]) ).
fof(f180742,plain,
! [X0,X1] : equiv(X0,X1) = equiv(X0,not(not(X1))),
inference(forward_demodulation,[],[f180619,f206]) ).
fof(f182822,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,not(X1)),
inference(superposition,[],[f178033,f179401]) ).
fof(f191820,plain,
! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| not(not(X1)) = X0 ),
inference(superposition,[],[f222,f180742]) ).
fof(f191959,plain,
! [X0] : not(not(X0)) = X0,
inference(resolution,[],[f191820,f298]) ).
fof(f192216,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X1,X0)),
inference(superposition,[],[f207,f191959]) ).
fof(f192602,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(superposition,[],[f191959,f192216]) ).
fof(f194560,plain,
! [X0,X1] : and(X1,X0) = not(implies(X0,not(X1))),
inference(superposition,[],[f192602,f182822]) ).
fof(f195135,plain,
! [X0,X1] : and(X0,X1) = and(X1,X0),
inference(forward_demodulation,[],[f194560,f192602]) ).
fof(f196104,plain,
~ is_a_theorem(strict_implies(and(sK0,sK1),and(sK0,sK1))),
inference(superposition,[],[f201,f195135]) ).
fof(f196105,plain,
$false,
inference(forward_subsumption_resolution,[],[f196104,f265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL528+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n009.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 15:56:15 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 18.52/3.88 % (2213153)Detected formulas, will run a generic FOF schedule.
% 18.52/3.88 % (2213158)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=373794877:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.52/3.88 % (2213159)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=2697527235:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.52/3.88 % (2213161)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3115943571:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.52/3.88 % (2213160)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=1946149591:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.52/3.88 % (2213161)Refutation not found, incomplete strategy
% 18.52/3.88 % (2213161)------------------------------
% 18.52/3.88 % (2213161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.52/3.88 % (2213161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.88 % (2213161)CaDiCaL version: 2.1.3
% 18.52/3.88 % (2213161)Termination reason: Refutation not found, incomplete strategy
% 18.52/3.88 % (2213161)Time elapsed: 0.001 s
% 18.52/3.88 % (2213161)Peak memory usage: 87 MB
% 18.52/3.88 % (2213162)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3939658290:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.52/3.88 % (2213164)dis-21_1_sil=8000:lcm=predicate:random_seed=2513723918: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)
% 18.52/3.88 % (2213163)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=905740041:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.52/3.88 % (2213162)Refutation not found, incomplete strategy
% 18.52/3.88 % (2213162)------------------------------
% 18.52/3.88 % (2213162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.52/3.88 % (2213162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.88 % (2213162)CaDiCaL version: 2.1.3
% 18.52/3.88 % (2213162)Termination reason: Refutation not found, incomplete strategy
% 18.52/3.88 % (2213162)Time elapsed: 0.001 s
% 18.52/3.88 % (2213162)Peak memory usage: 86 MB
% 18.52/3.88 % (2213164)Refutation not found, incomplete strategy
% 18.52/3.88 % (2213164)------------------------------
% 18.52/3.88 % (2213164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.52/3.88 % (2213164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.88 % (2213164)CaDiCaL version: 2.1.3
% 18.52/3.88 % (2213164)Termination reason: Refutation not found, incomplete strategy
% 18.52/3.88 % (2213164)Time elapsed: 0.004 s
% 18.52/3.88 % (2213164)Peak memory usage: 88 MB
% 18.52/3.88 % (2213164)Instructions burned: 1 (million)
% 18.52/3.88 % (2213163)Instruction limit reached!
% 18.52/3.88 % (2213163)------------------------------
% 18.52/3.88 % (2213163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.52/3.88 % (2213163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.88 % (2213163)CaDiCaL version: 2.1.3
% 18.52/3.88 % (2213163)Termination reason: Instruction limit
% 18.52/3.88 % (2213163)Termination phase: Saturation
% 18.52/3.88 % (2213163)Time elapsed: 0.149 s
% 18.52/3.88 % (2213163)Peak memory usage: 90 MB
% 18.52/3.88 % (2213163)Instructions burned: 140 (million)
% 18.52/3.88 % (2213161)------------------------------
% 18.52/3.88 % (2213161)------------------------------
% 18.52/3.88 % (2213162)------------------------------
% 18.52/3.88 % (2213162)------------------------------
% 18.52/3.88 % (2213164)------------------------------
% 18.52/3.88 % (2213164)------------------------------
% 18.52/3.88 % (2213172)lrs+10_1_sil=8000:sp=occurrence:random_seed=1457052591:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 18.52/3.88 % (2213172)Refutation not found, incomplete strategy
% 18.52/3.88 % (2213172)------------------------------
% 18.52/3.88 % (2213172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.52/3.88 % (2213172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.88 % (2213172)CaDiCaL version: 2.1.3
% 18.52/3.88 % (2213172)Termination reason: Refutation not found, incomplete strategy
% 24.44/4.53 % (2213172)Time elapsed: 0.002 s
% 24.44/4.53 % (2213172)Peak memory usage: 87 MB
% 24.44/4.53 % (2213175)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=2277473876:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 24.44/4.53 % (2213173)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2939416934:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 24.44/4.53 % (2213173)Refutation not found, incomplete strategy
% 24.44/4.53 % (2213173)------------------------------
% 24.44/4.53 % (2213173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.44/4.53 % (2213173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/4.53 % (2213173)CaDiCaL version: 2.1.3
% 24.44/4.53 % (2213173)Termination reason: Refutation not found, incomplete strategy
% 24.44/4.53 % (2213173)Time elapsed: 0.002 s
% 24.44/4.53 % (2213173)Peak memory usage: 87 MB
% 24.44/4.53 % (2213174)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3341825827:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 24.44/4.53 % (2213174)Refutation not found, incomplete strategy
% 24.44/4.53 % (2213174)------------------------------
% 24.44/4.53 % (2213174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.44/4.53 % (2213174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/4.53 % (2213174)CaDiCaL version: 2.1.3
% 24.44/4.53 % (2213174)Termination reason: Refutation not found, incomplete strategy
% 24.44/4.53 % (2213174)Time elapsed: 0.001 s
% 24.44/4.53 % (2213174)Peak memory usage: 87 MB
% 24.44/4.53 % (2213175)Instruction limit reached!
% 24.44/4.53 % (2213175)------------------------------
% 24.44/4.53 % (2213175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.44/4.53 % (2213175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/4.53 % (2213175)CaDiCaL version: 2.1.3
% 24.44/4.53 % (2213175)Termination reason: Instruction limit
% 24.44/4.53 % (2213175)Termination phase: Saturation
% 24.44/4.53 % (2213175)Time elapsed: 0.244 s
% 24.44/4.53 % (2213175)Peak memory usage: 93 MB
% 24.44/4.53 % (2213175)Instructions burned: 249 (million)
% 24.44/4.53 % (2213172)------------------------------
% 24.44/4.53 % (2213172)------------------------------
% 24.44/4.53 % (2213160)Refutation not found, incomplete strategy
% 24.44/4.53 % (2213160)------------------------------
% 24.44/4.53 % (2213160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.44/4.53 % (2213160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/4.53 % (2213160)CaDiCaL version: 2.1.3
% 24.44/4.53 % (2213160)Termination reason: Refutation not found, incomplete strategy
% 24.44/4.53 % (2213160)Time elapsed: 0.890 s
% 24.44/4.53 % (2213160)Peak memory usage: 127 MB
% 24.44/4.53 % (2213160)Instructions burned: 831 (million)
% 24.44/4.53 % (2213173)------------------------------
% 24.44/4.53 % (2213173)------------------------------
% 24.44/4.53 % (2213174)------------------------------
% 24.44/4.53 % (2213174)------------------------------
% 24.44/4.53 % (2213182)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2060507881:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 24.44/4.53 % (2213182)Refutation not found, incomplete strategy
% 24.44/4.53 % (2213182)------------------------------
% 24.44/4.53 % (2213182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.44/4.53 % (2213182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/4.53 % (2213182)CaDiCaL version: 2.1.3
% 24.44/4.53 % (2213182)Termination reason: Refutation not found, incomplete strategy
% 24.44/4.53 % (2213182)Time elapsed: 0.001 s
% 24.44/4.53 % (2213182)Peak memory usage: 87 MB
% 24.44/4.53 % (2213183)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1449326855:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 24.44/4.53 % (2213160)------------------------------
% 24.44/4.53 % (2213160)------------------------------
% 24.44/4.53 % (2213184)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3635011058:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 24.44/4.53 % (2213184)Refutation not found, incomplete strategy
% 24.44/4.53 % (2213184)------------------------------
% 24.44/4.53 % (2213184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.44/4.53 % (2213184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.49/5.03 % (2213184)CaDiCaL version: 2.1.3
% 27.49/5.03 % (2213184)Termination reason: Refutation not found, incomplete strategy
% 27.49/5.03 % (2213184)Time elapsed: 0.002 s
% 27.49/5.03 % (2213184)Peak memory usage: 88 MB
% 27.49/5.03 % (2213185)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2952343326:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 27.49/5.03 % (2213182)------------------------------
% 27.49/5.03 % (2213182)------------------------------
% 27.49/5.03 % (2213185)Instruction limit reached!
% 27.49/5.03 % (2213185)------------------------------
% 27.49/5.03 % (2213185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.49/5.03 % (2213185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.49/5.03 % (2213185)CaDiCaL version: 2.1.3
% 27.49/5.03 % (2213185)Termination reason: Instruction limit
% 27.49/5.03 % (2213185)Termination phase: Saturation
% 27.49/5.03 % (2213185)Time elapsed: 0.126 s
% 27.49/5.03 % (2213185)Peak memory usage: 89 MB
% 27.49/5.03 % (2213185)Instructions burned: 127 (million)
% 27.49/5.03 % (2213188)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=510315263:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 27.49/5.03 % (2213188)Refutation not found, incomplete strategy
% 27.49/5.03 % (2213188)------------------------------
% 27.49/5.03 % (2213188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.49/5.03 % (2213188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.49/5.03 % (2213188)CaDiCaL version: 2.1.3
% 27.49/5.03 % (2213188)Termination reason: Refutation not found, incomplete strategy
% 27.49/5.03 % (2213188)Time elapsed: 0.002 s
% 27.49/5.03 % (2213188)Peak memory usage: 87 MB
% 27.49/5.03 % (2213184)------------------------------
% 27.49/5.03 % (2213184)------------------------------
% 27.49/5.03 % (2213191)lrs+10_1_sil=8000:sp=occurrence:random_seed=3984614541:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 27.49/5.03 % (2213192)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1396736251:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 27.49/5.03 % (2213191)Refutation not found, incomplete strategy
% 27.49/5.03 % (2213191)------------------------------
% 27.49/5.03 % (2213191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.49/5.03 % (2213191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.49/5.03 % (2213191)CaDiCaL version: 2.1.3
% 27.49/5.03 % (2213191)Termination reason: Refutation not found, incomplete strategy
% 27.49/5.03 % (2213191)Time elapsed: 0.001 s
% 27.49/5.03 % (2213191)Peak memory usage: 87 MB
% 27.49/5.03 % (2213192)Refutation not found, incomplete strategy
% 27.49/5.03 % (2213192)------------------------------
% 27.49/5.03 % (2213192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.49/5.03 % (2213192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.49/5.03 % (2213192)CaDiCaL version: 2.1.3
% 27.49/5.03 % (2213192)Termination reason: Refutation not found, incomplete strategy
% 27.49/5.03 % (2213192)Time elapsed: 0.002 s
% 27.49/5.03 % (2213192)Peak memory usage: 87 MB
% 27.49/5.03 % (2213188)------------------------------
% 27.49/5.03 % (2213188)------------------------------
% 27.49/5.03 % (2213194)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1639230377:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 27.49/5.03 % (2213192)------------------------------
% 27.49/5.03 % (2213192)------------------------------
% 27.49/5.03 % (2213191)------------------------------
% 27.49/5.03 % (2213191)------------------------------
% 27.49/5.03 % (2213197)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2855445246:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 27.49/5.03 % (2213197)Refutation not found, incomplete strategy
% 27.49/5.03 % (2213197)------------------------------
% 27.49/5.03 % (2213197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.49/5.03 % (2213197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.49/5.03 % (2213197)CaDiCaL version: 2.1.3
% 27.49/5.03 % (2213197)Termination reason: Refutation not found, incomplete strategy
% 27.49/5.03 % (2213197)Time elapsed: 0.003 s
% 27.49/5.03 % (2213197)Peak memory usage: 89 MB
% 27.49/5.03 % (2213197)Instructions burned: 1 (million)
% 27.49/5.03 % (2213199)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2089302298:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 38.02/6.47 % (2213199)Refutation not found, incomplete strategy
% 38.02/6.47 % (2213199)------------------------------
% 38.02/6.47 % (2213199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.02/6.47 % (2213199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.02/6.47 % (2213199)CaDiCaL version: 2.1.3
% 38.02/6.47 % (2213199)Termination reason: Refutation not found, incomplete strategy
% 38.02/6.47 % (2213199)Time elapsed: 0.002 s
% 38.02/6.47 % (2213199)Peak memory usage: 88 MB
% 38.02/6.47 % (2213199)Instructions burned: 1 (million)
% 38.02/6.47 % (2213200)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2207714402:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 38.02/6.47 % (2213197)------------------------------
% 38.02/6.47 % (2213197)------------------------------
% 38.02/6.47 % (2213199)------------------------------
% 38.02/6.47 % (2213199)------------------------------
% 38.02/6.47 % (2213204)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=3403992266:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 38.02/6.47 % (2213204)Refutation not found, incomplete strategy
% 38.02/6.47 % (2213204)------------------------------
% 38.02/6.47 % (2213204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.02/6.47 % (2213204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.02/6.47 % (2213204)CaDiCaL version: 2.1.3
% 38.02/6.47 % (2213204)Termination reason: Refutation not found, incomplete strategy
% 38.02/6.47 % (2213204)Time elapsed: 0.002 s
% 38.02/6.47 % (2213204)Peak memory usage: 88 MB
% 38.02/6.47 % (2213204)Instructions burned: 1 (million)
% 38.02/6.47 % (2213205)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1568321455:i=134:gtgl=5:slsql=off:gtg=exists_sym_2967 on theBenchmark for (2967ds/134Mi)
% 38.02/6.47 [W927 15:56:19.137495402 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.
% 38.02/6.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.02/6.47 [W927 15:56:19.137546523 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.
% 38.02/6.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.02/6.47 [W927 15:56:19.137609563 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.
% 38.02/6.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.02/6.47 [W927 15:56:19.137630770 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.
% 38.02/6.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.02/6.47 [W927 15:56:19.137677497 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.
% 38.02/6.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.02/6.47 [W927 15:56:19.137697154 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.
% 38.02/6.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.02/6.47 [W927 15:56:19.137743214 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.
% 38.02/6.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.02/6.47 [W927 15:56:19.137761971 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.
% 41.99/6.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 41.99/6.97 [W927 15:56:19.137806238 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.
% 41.99/6.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 41.99/6.97 [W927 15:56:19.137893532 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.
% 41.99/6.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 41.99/6.97 [W927 15:56:19.137953622 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.
% 41.99/6.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 41.99/6.97 [W927 15:56:19.137972669 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.
% 41.99/6.97 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 41.99/6.97 % (2213205)Instruction limit reached!
% 41.99/6.97 % (2213205)------------------------------
% 41.99/6.97 % (2213205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213205)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213205)Termination reason: Instruction limit
% 41.99/6.97 % (2213205)Termination phase: Saturation
% 41.99/6.97 % (2213205)Time elapsed: 0.144 s
% 41.99/6.97 % (2213205)Peak memory usage: 90 MB
% 41.99/6.97 % (2213205)Instructions burned: 134 (million)
% 41.99/6.97 % (2213204)------------------------------
% 41.99/6.97 % (2213204)------------------------------
% 41.99/6.97 % (2213200)Refutation not found, incomplete strategy
% 41.99/6.97 % (2213200)------------------------------
% 41.99/6.97 % (2213200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213200)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213200)Termination reason: Refutation not found, incomplete strategy
% 41.99/6.97 % (2213200)Time elapsed: 0.900 s
% 41.99/6.97 % (2213200)Peak memory usage: 125 MB
% 41.99/6.97 % (2213200)Instructions burned: 822 (million)
% 41.99/6.97 % (2213208)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1822745012:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/141Mi)
% 41.99/6.97 % (2213208)Refutation not found, incomplete strategy
% 41.99/6.97 % (2213208)------------------------------
% 41.99/6.97 % (2213208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213208)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213208)Termination reason: Refutation not found, incomplete strategy
% 41.99/6.97 % (2213208)Time elapsed: 0.001 s
% 41.99/6.97 % (2213208)Peak memory usage: 87 MB
% 41.99/6.97 % (2213183)Instruction limit reached!
% 41.99/6.97 % (2213183)------------------------------
% 41.99/6.97 % (2213183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213183)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213183)Termination reason: Instruction limit
% 41.99/6.97 % (2213183)Termination phase: Saturation
% 41.99/6.97 % (2213183)Time elapsed: 2.540 s
% 41.99/6.97 % (2213183)Peak memory usage: 142 MB
% 41.99/6.97 % (2213183)Instructions burned: 2350 (million)
% 41.99/6.97 % (2213209)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4220458842:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2963 on theBenchmark for (2963ds/431Mi)
% 41.99/6.97 % (2213209)Refutation not found, incomplete strategy
% 41.99/6.97 % (2213209)------------------------------
% 41.99/6.97 % (2213209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213209)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213209)Termination reason: Refutation not found, incomplete strategy
% 41.99/6.97 % (2213209)Time elapsed: 0.002 s
% 41.99/6.97 % (2213209)Peak memory usage: 87 MB
% 41.99/6.97 % (2213200)------------------------------
% 41.99/6.97 % (2213200)------------------------------
% 41.99/6.97 % (2213212)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=2158792550:i=6060:aac=none:ins=25_2960 on theBenchmark for (2960ds/6060Mi)
% 41.99/6.97 % (2213208)------------------------------
% 41.99/6.97 % (2213208)------------------------------
% 41.99/6.97 % (2213209)------------------------------
% 41.99/6.97 % (2213209)------------------------------
% 41.99/6.97 % (2213213)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=2774439636:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2958 on theBenchmark for (2958ds/150Mi)
% 41.99/6.97 % (2213215)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2439461559:i=14155:bd=all_2956 on theBenchmark for (2956ds/14155Mi)
% 41.99/6.97 % (2213213)Instruction limit reached!
% 41.99/6.97 % (2213213)------------------------------
% 41.99/6.97 % (2213213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213213)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213213)Termination reason: Instruction limit
% 41.99/6.97 % (2213213)Termination phase: Saturation
% 41.99/6.97 % (2213213)Time elapsed: 0.152 s
% 41.99/6.97 % (2213213)Peak memory usage: 91 MB
% 41.99/6.97 % (2213213)Instructions burned: 150 (million)
% 41.99/6.97 % (2213216)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4020891502:i=667:av=off:fsr=off_2956 on theBenchmark for (2956ds/667Mi)
% 41.99/6.97 % (2213216)Refutation not found, incomplete strategy
% 41.99/6.97 % (2213216)------------------------------
% 41.99/6.97 % (2213216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213216)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213216)Termination reason: Refutation not found, incomplete strategy
% 41.99/6.97 % (2213216)Time elapsed: 0.003 s
% 41.99/6.97 % (2213216)Peak memory usage: 88 MB
% 41.99/6.97 % (2213216)Instructions burned: 1 (million)
% 41.99/6.97 % (2213219)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=2442097322:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 41.99/6.97 % (2213216)------------------------------
% 41.99/6.97 % (2213216)------------------------------
% 41.99/6.97 % (2213219)Instruction limit reached!
% 41.99/6.97 % (2213219)------------------------------
% 41.99/6.97 % (2213219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213219)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213219)Termination reason: Instruction limit
% 41.99/6.97 % (2213219)Termination phase: Saturation
% 41.99/6.97 % (2213219)Time elapsed: 0.179 s
% 41.99/6.97 % (2213219)Peak memory usage: 91 MB
% 41.99/6.97 % (2213219)Instructions burned: 185 (million)
% 41.99/6.97 % (2213222)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1854776681:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2949 on theBenchmark for (2949ds/193Mi)
% 41.99/6.97 % (2213222)Refutation not found, incomplete strategy
% 41.99/6.97 % (2213222)------------------------------
% 41.99/6.97 % (2213222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213222)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213222)Termination reason: Refutation not found, incomplete strategy
% 41.99/6.97 % (2213222)Time elapsed: 0.002 s
% 41.99/6.97 % (2213222)Peak memory usage: 87 MB
% 41.99/6.97 % (2213223)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4103420136:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 41.99/6.97 % (2213223)Refutation not found, incomplete strategy
% 41.99/6.97 % (2213223)------------------------------
% 41.99/6.97 % (2213223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.99/6.97 % (2213223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.99/6.97 % (2213223)CaDiCaL version: 2.1.3
% 41.99/6.97 % (2213223)Termination reason: Refutation not found, incomplete strategy
% 41.99/6.97 % (2213223)Time elapsed: 0.003 s
% 41.99/6.97 % (2213223)Peak memory usage: 88 MB
% 41.99/6.97 % (2213223)Instructions burned: 1 (million)
% 41.99/6.97 % (2213158)First to succeed.
% 41.99/6.97 % (2213158)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2213153"
% 41.99/6.97 % (2213222)------------------------------
% 41.99/6.97 % (2213222)------------------------------
% 41.99/6.97 % (2213223)------------------------------
% 41.99/6.97 % (2213223)------------------------------
% 41.99/6.97 % (2213158)Refutation found. Thanks to Tanya!
% 41.99/6.97 % SZS status Theorem for theBenchmark
% 41.99/6.97 % SZS output start Proof for theBenchmark
% See solution above
% 42.75/7.28 % (2213158)------------------------------
% 42.75/7.28 % (2213158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.75/7.28 % (2213158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.75/7.28 % (2213158)CaDiCaL version: 2.1.3
% 42.75/7.28 % (2213158)Termination reason: Refutation
% 42.75/7.28 % (2213158)Time elapsed: 5.447 s
% 42.75/7.28 % (2213158)Peak memory usage: 201 MB
% 42.75/7.28 % (2213158)Instructions burned: 9657 (million)
% 42.75/7.28 % (2213158)------------------------------
% 42.75/7.28 % (2213158)------------------------------
% 42.75/7.28 % (2213153)Success in time 5.932 s
% 42.75/7.28 % Vampire exiting
%------------------------------------------------------------------------------