%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL556+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:58:55 AM UTC 2026
% Result : Theorem 146.52s 32.83s
% Output : Refutation 146.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 27
% Syntax : Number of formulae : 186 ( 106 unt; 1 def)
% Number of atoms : 297 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 195 ( 84 ~; 78 |; 4 &)
% ( 10 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 15 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 327 ( 0 sgn 325 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
( and_2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',and_2) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_or) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).
fof(f33,axiom,
( modus_ponens_strict_implies
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(strict_implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',modus_ponens_strict_implies) ).
fof(f34,axiom,
( adjunction
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(X1) )
=> is_a_theorem(and(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',adjunction) ).
fof(f35,axiom,
( substitution_strict_equiv
<=> ! [X0,X1] :
( is_a_theorem(strict_equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',substitution_strict_equiv) ).
fof(f45,axiom,
( axiom_m1
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',axiom_m1) ).
fof(f46,axiom,
( axiom_m2
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',axiom_m2) ).
fof(f47,axiom,
( axiom_m3
<=> ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',axiom_m3) ).
fof(f48,axiom,
( axiom_m4
<=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',axiom_m4) ).
fof(f49,axiom,
( axiom_m5
<=> ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax',axiom_m5) ).
fof(f57,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+1.ax',op_strict_implies) ).
fof(f58,axiom,
( op_strict_equiv
=> ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+1.ax',op_strict_equiv) ).
fof(f60,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_op_or) ).
fof(f62,axiom,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_op_strict_implies) ).
fof(f64,axiom,
op_strict_equiv,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_op_strict_equiv) ).
fof(f65,axiom,
modus_ponens_strict_implies,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_modus_ponens_strict_implies) ).
fof(f66,axiom,
substitution_strict_equiv,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_substitution_strict_equiv) ).
fof(f67,axiom,
adjunction,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_adjunction) ).
fof(f68,axiom,
axiom_m1,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_axiom_m1) ).
fof(f69,axiom,
axiom_m2,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_axiom_m2) ).
fof(f70,axiom,
axiom_m3,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_axiom_m3) ).
fof(f71,axiom,
axiom_m4,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_axiom_m4) ).
fof(f72,axiom,
axiom_m5,
file('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax',s1_0_axiom_m5) ).
fof(f74,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f77,conjecture,
and_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_2) ).
fof(f78,negated_conjecture,
~ and_2,
inference(negated_conjecture,[status(cth)],[f77]) ).
fof(f79,plain,
~ and_2,
inference(flattening,[],[f78]) ).
fof(f80,plain,
( axiom_m5
=> ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f81,plain,
( axiom_m4
=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
inference(unused_predicate_definition_removal,[],[f48]) ).
fof(f82,plain,
( axiom_m3
=> ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) ),
inference(unused_predicate_definition_removal,[],[f47]) ).
fof(f83,plain,
( axiom_m2
=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f46]) ).
fof(f84,plain,
( axiom_m1
=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f45]) ).
fof(f85,plain,
( substitution_strict_equiv
=> ! [X0,X1] :
( is_a_theorem(strict_equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f86,plain,
( adjunction
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(X1) )
=> is_a_theorem(and(X0,X1)) ) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f87,plain,
( modus_ponens_strict_implies
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(strict_implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f88,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
=> and_2 ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f95,plain,
( and_2
| ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X1)) ),
inference(ennf_transformation,[],[f88]) ).
fof(f96,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f97,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f99,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(strict_implies(X0,X1)) )
| ~ modus_ponens_strict_implies ),
inference(ennf_transformation,[],[f87]) ).
fof(f100,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(strict_implies(X0,X1)) )
| ~ modus_ponens_strict_implies ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ adjunction ),
inference(ennf_transformation,[],[f86]) ).
fof(f102,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ adjunction ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1)) )
| ~ substitution_strict_equiv ),
inference(ennf_transformation,[],[f85]) ).
fof(f104,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| ~ axiom_m1 ),
inference(ennf_transformation,[],[f84]) ).
fof(f105,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ axiom_m2 ),
inference(ennf_transformation,[],[f83]) ).
fof(f106,plain,
( ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
| ~ axiom_m3 ),
inference(ennf_transformation,[],[f82]) ).
fof(f107,plain,
( ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))
| ~ axiom_m4 ),
inference(ennf_transformation,[],[f81]) ).
fof(f108,plain,
( ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))
| ~ axiom_m5 ),
inference(ennf_transformation,[],[f80]) ).
fof(f110,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(ennf_transformation,[],[f57]) ).
fof(f111,plain,
( ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))
| ~ op_strict_equiv ),
inference(ennf_transformation,[],[f58]) ).
fof(f112,plain,
( and_2
| ~ is_a_theorem(implies(and(sK0,sK1),sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f95]) ).
fof(f114,plain,
( and_2
| ~ is_a_theorem(implies(and(sK0,sK1),sK1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f115,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f96]) ).
fof(f116,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f97]) ).
fof(f118,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(strict_implies(X0,X1))
| ~ modus_ponens_strict_implies ),
inference(cnf_transformation,[],[f100]) ).
fof(f119,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ adjunction ),
inference(cnf_transformation,[],[f102]) ).
fof(f120,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1))
| ~ substitution_strict_equiv ),
inference(cnf_transformation,[],[f103]) ).
fof(f121,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| ~ axiom_m1 ),
inference(cnf_transformation,[],[f104]) ).
fof(f122,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ axiom_m2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f123,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
| ~ axiom_m3 ),
inference(cnf_transformation,[],[f106]) ).
fof(f124,plain,
! [X0] :
( is_a_theorem(strict_implies(X0,and(X0,X0)))
| ~ axiom_m4 ),
inference(cnf_transformation,[],[f107]) ).
fof(f125,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))
| ~ axiom_m5 ),
inference(cnf_transformation,[],[f108]) ).
fof(f127,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[],[f110]) ).
fof(f128,plain,
! [X0,X1] :
( strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))
| ~ op_strict_equiv ),
inference(cnf_transformation,[],[f111]) ).
fof(f130,plain,
op_or,
inference(cnf_transformation,[],[f60]) ).
fof(f131,plain,
op_strict_implies,
inference(cnf_transformation,[],[f62]) ).
fof(f133,plain,
op_strict_equiv,
inference(cnf_transformation,[],[f64]) ).
fof(f134,plain,
modus_ponens_strict_implies,
inference(cnf_transformation,[],[f65]) ).
fof(f135,plain,
substitution_strict_equiv,
inference(cnf_transformation,[],[f66]) ).
fof(f136,plain,
adjunction,
inference(cnf_transformation,[],[f67]) ).
fof(f137,plain,
axiom_m1,
inference(cnf_transformation,[],[f68]) ).
fof(f138,plain,
axiom_m2,
inference(cnf_transformation,[],[f69]) ).
fof(f139,plain,
axiom_m3,
inference(cnf_transformation,[],[f70]) ).
fof(f140,plain,
axiom_m4,
inference(cnf_transformation,[],[f71]) ).
fof(f141,plain,
axiom_m5,
inference(cnf_transformation,[],[f72]) ).
fof(f143,plain,
op_implies_and,
inference(cnf_transformation,[],[f74]) ).
fof(f146,plain,
~ and_2,
inference(cnf_transformation,[],[f79]) ).
fof(f147,plain,
! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)),
inference(global_subsumption,[],[f128,f133]) ).
fof(f148,plain,
! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)),
inference(global_subsumption,[],[f127,f131]) ).
fof(f150,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))),
inference(global_subsumption,[],[f125,f141]) ).
fof(f151,plain,
! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))),
inference(global_subsumption,[],[f124,f140]) ).
fof(f152,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))),
inference(global_subsumption,[],[f123,f139]) ).
fof(f153,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)),
inference(global_subsumption,[],[f122,f138]) ).
fof(f154,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))),
inference(global_subsumption,[],[f121,f137]) ).
fof(f155,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_equiv(X0,X1))
| X0 = X1 ),
inference(global_subsumption,[],[f120,f135]) ).
fof(f156,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(global_subsumption,[],[f119,f136]) ).
fof(f157,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(global_subsumption,[],[f118,f134]) ).
fof(f159,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(global_subsumption,[],[f116,f143]) ).
fof(f160,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(global_subsumption,[],[f115,f130]) ).
fof(f161,plain,
~ is_a_theorem(implies(and(sK0,sK1),sK1)),
inference(global_subsumption,[],[f114,f146]) ).
fof(f164,plain,
! [X0] :
( is_a_theorem(and(X0,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f157,f151]) ).
fof(f179,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f160,f159]) ).
fof(f181,plain,
! [X2,X0,X1] : or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2),
inference(superposition,[],[f179,f159]) ).
fof(f182,plain,
! [X0,X1] : strict_implies(not(X0),X1) = necessarily(or(X0,X1)),
inference(superposition,[],[f148,f179]) ).
fof(f185,plain,
! [X0] : is_a_theorem(necessarily(or(X0,and(not(X0),not(X0))))),
inference(superposition,[],[f151,f182]) ).
fof(f205,plain,
! [X0] :
( is_a_theorem(strict_equiv(X0,X0))
| ~ is_a_theorem(strict_implies(X0,X0)) ),
inference(superposition,[],[f164,f147]) ).
fof(f206,plain,
! [X0] : is_a_theorem(strict_implies(strict_implies(X0,X0),strict_equiv(X0,X0))),
inference(superposition,[],[f151,f147]) ).
fof(f209,plain,
! [X0,X1] :
( is_a_theorem(strict_equiv(X0,X1))
| ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(superposition,[],[f156,f147]) ).
fof(f212,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_equiv(X0,X1),strict_implies(X0,X1))),
inference(superposition,[],[f153,f147]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(and(strict_implies(X0,X1),strict_implies(X1,X2)))
| is_a_theorem(strict_implies(X0,X2)) ),
inference(resolution,[],[f150,f157]) ).
fof(f360,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| ~ is_a_theorem(strict_implies(X0,X1))
| X0 = X1 ),
inference(resolution,[],[f209,f155]) ).
fof(f365,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(and(X0,X0),X0))
| and(X0,X0) = X0 ),
inference(resolution,[],[f360,f151]) ).
fof(f371,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| and(X0,X1) = and(X1,X0) ),
inference(resolution,[],[f360,f154]) ).
fof(f375,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(strict_equiv(X0,X0),strict_implies(X0,X0)))
| strict_equiv(X0,X0) = strict_implies(X0,X0) ),
inference(resolution,[],[f360,f206]) ).
fof(f383,plain,
! [X0] : strict_equiv(X0,X0) = strict_implies(X0,X0),
inference(forward_subsumption_resolution,[],[f375,f212]) ).
fof(f385,plain,
! [X0,X1] : and(X0,X1) = and(X1,X0),
inference(forward_subsumption_resolution,[],[f371,f154]) ).
fof(f388,plain,
! [X0] : and(X0,X0) = X0,
inference(forward_subsumption_resolution,[],[f365,f153]) ).
fof(f392,plain,
! [X0] : is_a_theorem(strict_implies(X0,X0)),
inference(superposition,[],[f151,f388]) ).
fof(f393,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X0,and(X0,X1)))),
inference(superposition,[],[f152,f388]) ).
fof(f407,plain,
! [X0] : is_a_theorem(necessarily(or(X0,not(X0)))),
inference(superposition,[],[f185,f388]) ).
fof(f478,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X1,and(X0,X2)))),
inference(superposition,[],[f152,f385]) ).
fof(f480,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X1)),
inference(superposition,[],[f153,f385]) ).
fof(f488,plain,
! [X0,X1] : implies(X1,X0) = not(and(not(X0),X1)),
inference(superposition,[],[f159,f385]) ).
fof(f608,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(superposition,[],[f159,f488]) ).
fof(f636,plain,
! [X0,X1] : implies(not(X0),X1) = or(X1,X0),
inference(forward_demodulation,[],[f608,f179]) ).
fof(f650,plain,
! [X0,X1] : necessarily(or(X0,X1)) = strict_implies(not(X1),X0),
inference(superposition,[],[f148,f636]) ).
fof(f746,plain,
! [X0,X1] : necessarily(or(X0,X1)) = necessarily(or(X1,X0)),
inference(superposition,[],[f650,f182]) ).
fof(f823,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(and(X0,and(X0,X1)),and(X0,X1)))
| and(X0,X1) = and(X0,and(X0,X1)) ),
inference(resolution,[],[f393,f360]) ).
fof(f830,plain,
! [X0,X1] : and(X0,X1) = and(X0,and(X0,X1)),
inference(forward_subsumption_resolution,[],[f823,f480]) ).
fof(f834,plain,
! [X0,X1] : and(X0,X1) = and(X1,and(X0,X1)),
inference(superposition,[],[f830,f385]) ).
fof(f850,plain,
! [X0,X1] : not(and(not(X0),X1)) = implies(and(not(X0),X1),X0),
inference(superposition,[],[f488,f830]) ).
fof(f852,plain,
! [X0,X1] : implies(X1,X0) = implies(and(not(X0),X1),X0),
inference(forward_demodulation,[],[f850,f488]) ).
fof(f878,plain,
! [X0,X1] : not(and(X0,not(X1))) = implies(and(X0,not(X1)),X1),
inference(superposition,[],[f488,f834]) ).
fof(f880,plain,
! [X0,X1] : implies(X0,X1) = implies(and(X0,not(X1)),X1),
inference(forward_demodulation,[],[f878,f159]) ).
fof(f1070,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(and(not(X1),X0),X1),
inference(superposition,[],[f148,f852]) ).
fof(f1071,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(and(not(X1),X0),X1),
inference(forward_demodulation,[],[f1070,f148]) ).
fof(f1171,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(and(X0,not(X1)),X1),
inference(superposition,[],[f148,f880]) ).
fof(f1183,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(and(X0,not(X1)),X1),
inference(forward_demodulation,[],[f1171,f148]) ).
fof(f2193,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X2,X1))
| ~ is_a_theorem(strict_implies(X0,X2))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f310,f156]) ).
fof(f2366,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X1,X2)))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f2193,f153]) ).
fof(f2367,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X1,X2)))
| is_a_theorem(strict_implies(X0,and(X2,X1))) ),
inference(resolution,[],[f2193,f154]) ).
fof(f2403,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),X2),X0)),
inference(resolution,[],[f2366,f153]) ).
fof(f2419,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(necessarily(or(and(X0,X1),X2)))
| is_a_theorem(strict_implies(not(X2),X0)) ),
inference(superposition,[],[f2366,f650]) ).
fof(f2424,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(necessarily(or(and(X0,X1),X2)))
| is_a_theorem(necessarily(or(X2,X0))) ),
inference(forward_demodulation,[],[f2419,f182]) ).
fof(f2438,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),X2),X1)),
inference(superposition,[],[f2403,f385]) ).
fof(f4997,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(and(X0,X2),X1))),
inference(resolution,[],[f478,f2367]) ).
fof(f6718,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(and(and(X0,X1),X2),and(and(X0,X2),X1)))
| and(and(X0,X1),X2) = and(and(X0,X2),X1) ),
inference(resolution,[],[f4997,f360]) ).
fof(f6772,plain,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(and(X0,X2),X1),
inference(forward_subsumption_resolution,[],[f6718,f4997]) ).
fof(f6776,plain,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(and(X1,X2),X0),
inference(superposition,[],[f6772,f385]) ).
fof(f6790,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(and(X1,X0),X2),
inference(superposition,[],[f6772,f385]) ).
fof(f8128,plain,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(X2,and(X1,X0)),
inference(superposition,[],[f6790,f6776]) ).
fof(f8133,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X2,and(X1,X0)),
inference(superposition,[],[f6790,f385]) ).
fof(f8312,plain,
! [X2,X0,X1] : implies(and(X1,X0),X2) = not(and(X0,and(X1,not(X2)))),
inference(superposition,[],[f159,f6790]) ).
fof(f10003,plain,
! [X2,X0,X1] : strict_implies(and(X1,X0),X2) = strict_implies(and(and(X0,X1),not(X2)),X2),
inference(superposition,[],[f1071,f8128]) ).
fof(f10120,plain,
! [X2,X0,X1] : strict_implies(and(X1,X0),X2) = strict_implies(and(X0,X1),X2),
inference(forward_demodulation,[],[f10003,f1183]) ).
fof(f16095,plain,
! [X2,X0,X1] : strict_implies(and(strict_implies(X1,X0),strict_implies(X0,X1)),X2) = strict_implies(strict_equiv(X0,X1),X2),
inference(superposition,[],[f10120,f147]) ).
fof(f16370,plain,
! [X2,X0,X1] : strict_implies(strict_equiv(X0,X1),X2) = strict_implies(strict_equiv(X1,X0),X2),
inference(forward_demodulation,[],[f16095,f147]) ).
fof(f19427,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_equiv(X1,X0))
| ~ is_a_theorem(strict_implies(strict_equiv(X0,X1),X2))
| is_a_theorem(X2) ),
inference(superposition,[],[f157,f16370]) ).
fof(f29197,plain,
! [X0,X1] : is_a_theorem(necessarily(or(not(and(X0,X1)),X0))),
inference(resolution,[],[f2424,f407]) ).
fof(f29290,plain,
! [X0,X1] : is_a_theorem(necessarily(or(X0,not(and(X0,X1))))),
inference(forward_demodulation,[],[f29197,f746]) ).
fof(f29370,plain,
! [X2,X0,X1] : is_a_theorem(necessarily(implies(implies(X0,X1),not(and(and(X0,not(X1)),X2))))),
inference(superposition,[],[f29290,f181]) ).
fof(f29373,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X0,X1),not(and(and(X0,not(X1)),X2)))),
inference(forward_demodulation,[],[f29370,f148]) ).
fof(f29382,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X0,X1),not(and(not(X1),and(X0,X2))))),
inference(forward_demodulation,[],[f29373,f6790]) ).
fof(f29384,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X0,X1),implies(and(X0,X2),X1))),
inference(forward_demodulation,[],[f29382,f488]) ).
fof(f30096,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X1,X2),implies(and(X0,X1),X2))),
inference(superposition,[],[f29384,f385]) ).
fof(f30510,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(and(X2,X0),X1)) ),
inference(resolution,[],[f30096,f157]) ).
fof(f52224,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(strict_equiv(X0,X0),X1))
| is_a_theorem(X1)
| ~ is_a_theorem(strict_implies(X0,X0)) ),
inference(resolution,[],[f19427,f205]) ).
fof(f52233,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(strict_equiv(X0,X0),X1))
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f52224,f392]) ).
fof(f52234,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(strict_implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(forward_demodulation,[],[f52233,f383]) ).
fof(f52241,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(necessarily(or(X0,not(X0))),X1))
| is_a_theorem(X1) ),
inference(superposition,[],[f52234,f182]) ).
fof(f94741,plain,
! [X2,X0,X1] : implies(and(X0,not(X1)),X2) = implies(and(X0,not(X2)),X1),
inference(superposition,[],[f8312,f488]) ).
fof(f130524,plain,
! [X2,X0,X1] : strict_implies(and(X0,not(X2)),X1) = necessarily(implies(and(X0,not(X1)),X2)),
inference(superposition,[],[f148,f94741]) ).
fof(f130712,plain,
! [X2,X0,X1] : strict_implies(and(X0,not(X1)),X2) = strict_implies(and(X0,not(X2)),X1),
inference(forward_demodulation,[],[f130524,f148]) ).
fof(f150550,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,not(X0)),X1)),
inference(superposition,[],[f153,f130712]) ).
fof(f150738,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),not(X1)),X2)),
inference(superposition,[],[f2438,f130712]) ).
fof(f150904,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(not(X1),and(X0,X1)),X2)),
inference(forward_demodulation,[],[f150738,f10120]) ).
fof(f150988,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X1,and(X0,not(X1))),X2)),
inference(forward_demodulation,[],[f150904,f8133]) ).
fof(f151031,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X1,not(X1))))
| is_a_theorem(strict_implies(X0,X2)) ),
inference(resolution,[],[f150550,f2193]) ).
fof(f152148,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X0,and(not(X0),X1)),X2)),
inference(superposition,[],[f150988,f385]) ).
fof(f153280,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(not(not(X0)),X1),X0)),
inference(superposition,[],[f152148,f1071]) ).
fof(f187113,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(not(not(and(X0,not(X0)))),X1),X2)),
inference(resolution,[],[f151031,f153280]) ).
fof(f187238,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(not(implies(X0,X0)),X1),X2)),
inference(forward_demodulation,[],[f187113,f159]) ).
fof(f187402,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,X1))),
inference(superposition,[],[f187238,f1071]) ).
fof(f187448,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f187402,f52241]) ).
fof(f187501,definition,
( spl2_88
<=> ! [X0] : is_a_theorem(implies(X0,X0)) ),
introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).
fof(f187502,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f187501]) ).
fof(f187508,plain,
spl2_88,
inference(avatar_split_clause,[],[f187448,f187501]) ).
fof(f187515,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
| ~ spl2_88 ),
inference(resolution,[],[f187502,f30510]) ).
fof(f187778,plain,
( $false
| ~ spl2_88 ),
inference(resolution,[],[f187515,f161]) ).
fof(f187893,plain,
~ spl2_88,
inference(avatar_contradiction_clause,[],[f187778]) ).
cnf(s86719,plain,
spl2_88,
inference(sat_conversion,[],[f187508]) ).
cnf(s86929,plain,
~ spl2_88,
inference(sat_conversion,[],[f187893]) ).
cnf(s87011,plain,
$false,
inference(rat,[],[s86719,s86929]) ).
fof(f187919,plain,
$false,
inference(avatar_sat_refutation,[],[s87011]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL556+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 16:00:35 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.13/2.55 % (2548563)Will run a generic schedule for satisfiability detection.
% 15.13/2.55 % (2548569)% WARNING: option uhcvi not known.
% 15.13/2.55 % (2548570)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1867331958:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.13/2.55 % (2548574)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1219463562:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.13/2.55 % (2548568)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=757370650_2999 on theBenchmark for (2999ds/0Mi)
% 15.13/2.55 % (2548573)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=596816294:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.13/2.55 % (2548569)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2941122343:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.13/2.55 % (2548571)dis+10_1_sil=32000:sp=arity:random_seed=1780055025:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.13/2.55 % (2548572)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4192275584:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.13/2.55 % TRYING [1]
% 15.13/2.55 % TRYING [2]
% 15.13/2.55 % TRYING [3]
% 15.13/2.55 % TRYING [4]
% 15.13/2.55 % (2548571)Instruction limit reached!
% 15.13/2.55 % (2548571)------------------------------
% 15.13/2.55 % (2548571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.13/2.55 % (2548571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.13/2.55 % (2548571)CaDiCaL version: 2.1.3
% 15.13/2.55 % (2548571)Termination reason: Instruction limit
% 15.13/2.55 % (2548571)Termination phase: Saturation
% 15.13/2.55 % (2548571)Time elapsed: 0.037 s
% 15.13/2.55 % (2548571)Peak memory usage: 13 MB
% 15.13/2.55 % (2548571)Instructions burned: 106 (million)
% 15.13/2.55 % (2548572)Instruction limit reached!
% 15.13/2.55 % (2548572)------------------------------
% 15.13/2.55 % (2548572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.13/2.55 % (2548572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.13/2.55 % (2548572)CaDiCaL version: 2.1.3
% 15.13/2.55 % (2548572)Termination reason: Instruction limit
% 15.13/2.55 % (2548572)Termination phase: Saturation
% 15.13/2.55 % (2548572)Time elapsed: 0.040 s
% 15.13/2.55 % (2548572)Peak memory usage: 13 MB
% 15.13/2.55 % (2548572)Instructions burned: 116 (million)
% 15.13/2.55 % (2548573)Instruction limit reached!
% 15.13/2.55 % (2548573)------------------------------
% 15.13/2.55 % (2548573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.13/2.55 % (2548573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.13/2.55 % (2548573)CaDiCaL version: 2.1.3
% 15.13/2.55 % (2548573)Termination reason: Instruction limit
% 15.13/2.55 % (2548573)Termination phase: Saturation
% 15.13/2.55 % (2548573)Time elapsed: 0.045 s
% 15.13/2.55 % (2548573)Peak memory usage: 13 MB
% 15.13/2.55 % (2548573)Instructions burned: 134 (million)
% 15.13/2.55 % (2548582)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3862477230:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.13/2.55 % (2548583)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2525982372:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.13/2.55 % TRYING [1]
% 15.13/2.55 % TRYING [2]
% 15.13/2.55 % TRYING [3]
% 15.13/2.55 % (2548584)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1557419801:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 15.13/2.55 % (2548574)Instruction limit reached!
% 15.13/2.55 % (2548574)------------------------------
% 15.13/2.55 % (2548574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.13/2.55 % (2548574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.13/2.55 % (2548574)CaDiCaL version: 2.1.3
% 15.13/2.55 % (2548574)Termination reason: Instruction limit
% 15.13/2.55 % (2548574)Termination phase: Saturation
% 15.13/2.55 % (2548574)Time elapsed: 0.062 s
% 15.13/2.55 % (2548574)Peak memory usage: 14 MB
% 15.13/2.55 % (2548574)Instructions burned: 164 (million)
% 15.13/2.55 % TRYING [4]
% 15.13/2.55 % (2548588)ott-21_1_sil=16000:fs=off:random_seed=3872792203:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 15.13/2.55 % (2548583)Instruction limit reached!
% 15.13/2.55 % (2548583)------------------------------
% 15.13/2.55 % (2548583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.13/2.55 % (2548583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.63 % (2548583)CaDiCaL version: 2.1.3
% 29.57/4.63 % (2548583)Termination reason: Instruction limit
% 29.57/4.63 % (2548583)Termination phase: Saturation
% 29.57/4.63 % (2548583)Time elapsed: 0.043 s
% 29.57/4.63 % (2548583)Peak memory usage: 13 MB
% 29.57/4.63 % (2548583)Instructions burned: 131 (million)
% 29.57/4.63 % (2548590)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1904931251:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 29.57/4.63 % (2548588)Instruction limit reached!
% 29.57/4.63 % (2548588)------------------------------
% 29.57/4.63 % (2548588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.57/4.63 % (2548588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.63 % (2548588)CaDiCaL version: 2.1.3
% 29.57/4.63 % (2548588)Termination reason: Instruction limit
% 29.57/4.63 % (2548588)Termination phase: Saturation
% 29.57/4.63 % (2548588)Time elapsed: 0.052 s
% 29.57/4.63 % (2548588)Peak memory usage: 13 MB
% 29.57/4.63 % (2548588)Instructions burned: 182 (million)
% 29.57/4.63 % (2548592)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3142820702:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 29.57/4.63 % TRYING [1]
% 29.57/4.63 % TRYING [2]
% 29.57/4.63 % TRYING [3]
% 29.57/4.63 % TRYING [5]
% 29.57/4.63 % TRYING [4]
% 29.57/4.63 % TRYING [5]
% 29.57/4.63 % (2548584)Instruction limit reached!
% 29.57/4.63 % (2548584)------------------------------
% 29.57/4.63 % (2548584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.57/4.63 % (2548584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.63 % (2548584)CaDiCaL version: 2.1.3
% 29.57/4.63 % (2548584)Termination reason: Instruction limit
% 29.57/4.63 % (2548584)Termination phase: Saturation
% 29.57/4.63 % (2548584)Time elapsed: 0.205 s
% 29.57/4.63 % (2548584)Peak memory usage: 19 MB
% 29.57/4.63 % (2548584)Instructions burned: 684 (million)
% 29.57/4.63 % (2548590)Instruction limit reached!
% 29.57/4.63 % (2548590)------------------------------
% 29.57/4.63 % (2548590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.57/4.63 % (2548590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.63 % (2548590)CaDiCaL version: 2.1.3
% 29.57/4.63 % (2548590)Termination reason: Instruction limit
% 29.57/4.63 % (2548590)Termination phase: Saturation
% 29.57/4.63 % (2548590)Time elapsed: 0.157 s
% 29.57/4.63 % (2548590)Peak memory usage: 15 MB
% 29.57/4.63 % (2548590)Instructions burned: 480 (million)
% 29.57/4.63 % (2548594)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1813504335:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 29.57/4.63 % (2548595)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4115617138:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 29.57/4.63 % (2548582)Instruction limit reached!
% 29.57/4.63 % (2548582)------------------------------
% 29.57/4.63 % (2548582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.57/4.63 % (2548582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.63 % (2548582)CaDiCaL version: 2.1.3
% 29.57/4.63 % (2548582)Termination reason: Instruction limit
% 29.57/4.63 % (2548582)Termination phase: Finite model building constraint generation
% 29.57/4.63 % (2548582)Time elapsed: 0.229 s
% 29.57/4.63 % (2548582)Peak memory usage: 16 MB
% 29.57/4.63 % (2548582)Instructions burned: 718 (million)
% 29.57/4.63 % (2548598)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=818299398:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 29.57/4.63 % TRYING [14]
% 29.57/4.63 % (2548592)Instruction limit reached!
% 29.57/4.63 % (2548592)------------------------------
% 29.57/4.63 % (2548592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.57/4.63 % (2548592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.57/4.63 % (2548592)CaDiCaL version: 2.1.3
% 29.57/4.63 % (2548592)Termination reason: Instruction limit
% 29.57/4.63 % (2548592)Termination phase: Finite model building SAT solving
% 29.57/4.63 % (2548592)Time elapsed: 0.183 s
% 29.57/4.63 % (2548592)Peak memory usage: 21 MB
% 29.57/4.63 % (2548592)Instructions burned: 865 (million)
% 29.57/4.63 % (2548600)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1766283787:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 29.57/4.63 % (2548595)Instruction limit reached!
% 29.57/4.63 % (2548595)------------------------------
% 73.65/10.80 % (2548595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.65/10.80 % (2548595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.65/10.80 % (2548595)CaDiCaL version: 2.1.3
% 73.65/10.80 % (2548595)Termination reason: Instruction limit
% 73.65/10.80 % (2548595)Termination phase: Finite model building constraint generation
% 73.65/10.80 % (2548595)Time elapsed: 0.172 s
% 73.65/10.80 % (2548595)Peak memory usage: 67 MB
% 73.65/10.80 % (2548595)Instructions burned: 892 (million)
% 73.65/10.80 % (2548602)fmb+10_1_sil=64000:random_seed=1996027402:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 73.65/10.80 % TRYING [1]
% 73.65/10.80 % TRYING [2]
% 73.65/10.80 % TRYING [3]
% 73.65/10.80 % TRYING [4]
% 73.65/10.80 % (2548598)Instruction limit reached!
% 73.65/10.80 % (2548598)------------------------------
% 73.65/10.80 % (2548598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.65/10.80 % (2548598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.65/10.80 % (2548598)CaDiCaL version: 2.1.3
% 73.65/10.80 % (2548598)Termination reason: Instruction limit
% 73.65/10.80 % (2548598)Termination phase: Saturation
% 73.65/10.80 % (2548598)Time elapsed: 0.228 s
% 73.65/10.80 % (2548598)Peak memory usage: 18 MB
% 73.65/10.80 % (2548598)Instructions burned: 693 (million)
% 73.65/10.80 % (2548604)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2225234860:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 73.65/10.80 % TRYING [20]
% 73.65/10.80 % TRYING [5]
% 73.65/10.80 % (2548600)Instruction limit reached!
% 73.65/10.80 % (2548600)------------------------------
% 73.65/10.80 % (2548600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.65/10.80 % (2548600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.65/10.80 % (2548600)CaDiCaL version: 2.1.3
% 73.65/10.80 % (2548600)Termination reason: Instruction limit
% 73.65/10.80 % (2548600)Termination phase: Saturation
% 73.65/10.80 % (2548600)Time elapsed: 0.288 s
% 73.65/10.80 % (2548600)Peak memory usage: 22 MB
% 73.65/10.80 % (2548600)Instructions burned: 882 (million)
% 73.65/10.80 % (2548606)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3932628026:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 73.65/10.80 % TRYING [8]
% 73.65/10.80 % (2548594)Instruction limit reached!
% 73.65/10.80 % (2548594)------------------------------
% 73.65/10.80 % (2548594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.65/10.80 % (2548594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.65/10.80 % (2548594)CaDiCaL version: 2.1.3
% 73.65/10.80 % (2548594)Termination reason: Instruction limit
% 73.65/10.80 % (2548594)Termination phase: Saturation
% 73.65/10.80 % (2548594)Time elapsed: 0.383 s
% 73.65/10.80 % (2548594)Peak memory usage: 22 MB
% 73.65/10.80 % (2548594)Instructions burned: 1181 (million)
% 73.65/10.80 % (2548608)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2285156359:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 73.65/10.80 % (2548606)Instruction limit reached!
% 73.65/10.80 % (2548606)------------------------------
% 73.65/10.80 % (2548606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.65/10.80 % (2548606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.65/10.80 % (2548606)CaDiCaL version: 2.1.3
% 73.65/10.80 % (2548606)Termination reason: Instruction limit
% 73.65/10.80 % (2548606)Termination phase: Finite model building SAT solving
% 73.65/10.80 % (2548606)Time elapsed: 0.203 s
% 73.65/10.80 % (2548606)Peak memory usage: 59 MB
% 73.65/10.80 % (2548606)Instructions burned: 924 (million)
% 73.65/10.80 % (2548610)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=806365612:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 73.65/10.80 % (2548610)Instruction limit reached!
% 73.65/10.80 % (2548610)------------------------------
% 73.65/10.80 % (2548610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.65/10.80 % (2548610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.65/10.80 % (2548610)CaDiCaL version: 2.1.3
% 73.65/10.80 % (2548610)Termination reason: Instruction limit
% 73.65/10.80 % (2548610)Termination phase: Saturation
% 73.65/10.80 % (2548610)Time elapsed: 0.345 s
% 73.65/10.80 % (2548610)Peak memory usage: 23 MB
% 73.65/10.80 % (2548610)Instructions burned: 1477 (million)
% 73.65/10.80 % (2548612)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2736023724:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 73.65/10.80 % TRYING [77]
% 73.65/10.80 % TRYING [6]
% 73.65/10.80 % (2548608)Instruction limit reached!
% 159.81/23.07 % (2548608)------------------------------
% 159.81/23.07 % (2548608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.81/23.07 % (2548608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.81/23.07 % (2548608)CaDiCaL version: 2.1.3
% 159.81/23.07 % (2548608)Termination reason: Instruction limit
% 159.81/23.07 % (2548608)Termination phase: Saturation
% 159.81/23.07 % (2548608)Time elapsed: 1.515 s
% 159.81/23.07 % (2548608)Peak memory usage: 67 MB
% 159.81/23.07 % (2548608)Instructions burned: 5134 (million)
% 159.81/23.07 % (2548614)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=510701093:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 159.81/23.07 % TRYING [16]
% 159.81/23.07 % TRYING [6]
% 159.81/23.07 % (2548604)Instruction limit reached!
% 159.81/23.07 % (2548604)------------------------------
% 159.81/23.07 % (2548604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.81/23.07 % (2548604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.81/23.07 % (2548604)CaDiCaL version: 2.1.3
% 159.81/23.07 % (2548604)Termination reason: Instruction limit
% 159.81/23.07 % (2548604)Termination phase: Finite model building constraint generation
% 159.81/23.07 % (2548604)Time elapsed: 1.857 s
% 159.81/23.07 % (2548604)Peak memory usage: 599 MB
% 159.81/23.07 % (2548604)Instructions burned: 9516 (million)
% 159.81/23.07 % (2548616)ott-2_1_sil=16000:newcnf=on:random_seed=2282460610:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2975 on theBenchmark for (2975ds/869Mi)
% 159.81/23.07 % (2548612)Instruction limit reached!
% 159.81/23.07 % (2548612)------------------------------
% 159.81/23.07 % (2548612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.81/23.07 % (2548612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.81/23.07 % (2548612)CaDiCaL version: 2.1.3
% 159.81/23.07 % (2548612)Termination reason: Instruction limit
% 159.81/23.07 % (2548612)Termination phase: Finite model building constraint generation
% 159.81/23.07 % (2548612)Time elapsed: 1.277 s
% 159.81/23.07 % (2548612)Peak memory usage: 415 MB
% 159.81/23.07 % (2548612)Instructions burned: 6326 (million)
% 159.81/23.07 % (2548618)ott+10_1_sil=32000:tgt=ground:random_seed=2329720730:i=5114:av=off_2974 on theBenchmark for (2974ds/5114Mi)
% 159.81/23.07 % (2548614)Instruction limit reached!
% 159.81/23.07 % (2548614)------------------------------
% 159.81/23.07 % (2548614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.81/23.07 % (2548614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.81/23.07 % (2548614)CaDiCaL version: 2.1.3
% 159.81/23.07 % (2548614)Termination reason: Instruction limit
% 159.81/23.07 % (2548614)Termination phase: Finite model building constraint generation
% 159.81/23.07 % (2548614)Time elapsed: 0.405 s
% 159.81/23.07 % (2548614)Peak memory usage: 132 MB
% 159.81/23.07 % (2548614)Instructions burned: 2179 (million)
% 159.81/23.07 % (2548620)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=776488182:i=54282_2973 on theBenchmark for (2973ds/54282Mi)
% 159.81/23.07 % TRYING [1]
% 159.81/23.07 % TRYING [2]
% 159.81/23.07 % TRYING [3]
% 159.81/23.07 % TRYING [4]
% 159.81/23.07 % (2548616)Instruction limit reached!
% 159.81/23.07 % (2548616)------------------------------
% 159.81/23.07 % (2548616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.81/23.07 % (2548616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.81/23.07 % (2548616)CaDiCaL version: 2.1.3
% 159.81/23.07 % (2548616)Termination reason: Instruction limit
% 159.81/23.07 % (2548616)Termination phase: Saturation
% 159.81/23.07 % (2548616)Time elapsed: 0.287 s
% 159.81/23.07 % (2548616)Peak memory usage: 21 MB
% 159.81/23.07 % (2548616)Instructions burned: 871 (million)
% 159.81/23.07 % (2548622)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2582158237:i=3512:aac=none_2972 on theBenchmark for (2972ds/3512Mi)
% 159.81/23.07 % TRYING [5]
% 159.81/23.07 % (2548622)Instruction limit reached!
% 159.81/23.07 % (2548622)------------------------------
% 159.81/23.07 % (2548622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.81/23.07 % (2548622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.81/23.07 % (2548622)CaDiCaL version: 2.1.3
% 159.81/23.07 % (2548622)Termination reason: Instruction limit
% 159.81/23.07 % (2548622)Termination phase: Saturation
% 159.81/23.07 % (2548622)Time elapsed: 1.088 s
% 159.81/23.07 % (2548622)Peak memory usage: 51 MB
% 159.81/23.07 % (2548622)Instructions burned: 3514 (million)
% 159.81/23.07 % (2548624)dis+21_1_sil=32000:sas=cadical:random_seed=3342877462:i=3773:amm=off_2961 on theBenchmark for (2961ds/3773Mi)
% 159.81/23.07 % (2548618)Instruction limit reached!
% 146.52/32.83 % (2548618)------------------------------
% 146.52/32.83 % (2548618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548618)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548618)Termination reason: Instruction limit
% 146.52/32.83 % (2548618)Termination phase: Saturation
% 146.52/32.83 % (2548618)Time elapsed: 1.730 s
% 146.52/32.83 % (2548618)Peak memory usage: 64 MB
% 146.52/32.83 % (2548618)Instructions burned: 5114 (million)
% 146.52/32.83 % (2548626)ott+11_1_sil=16000:gs=on:random_seed=3861133693:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2957 on theBenchmark for (2957ds/2251Mi)
% 146.52/32.83 % TRYING [6]
% 146.52/32.83 % (2548624)Instruction limit reached!
% 146.52/32.83 % (2548624)------------------------------
% 146.52/32.83 % (2548624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548624)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548624)Termination reason: Instruction limit
% 146.52/32.83 % (2548624)Termination phase: Saturation
% 146.52/32.83 % (2548624)Time elapsed: 1.173 s
% 146.52/32.83 % (2548624)Peak memory usage: 51 MB
% 146.52/32.83 % (2548624)Instructions burned: 3776 (million)
% 146.52/32.83 % (2548628)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1943743874:fmbsr=1.6:i=67534_2949 on theBenchmark for (2949ds/67534Mi)
% 146.52/32.83 % TRYING [7]
% 146.52/32.83 % (2548626)Instruction limit reached!
% 146.52/32.83 % (2548626)------------------------------
% 146.52/32.83 % (2548626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548626)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548626)Termination reason: Instruction limit
% 146.52/32.83 % (2548626)Termination phase: Saturation
% 146.52/32.83 % (2548626)Time elapsed: 0.783 s
% 146.52/32.83 % (2548626)Peak memory usage: 38 MB
% 146.52/32.83 % (2548626)Instructions burned: 2251 (million)
% 146.52/32.83 % (2548630)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1976605297:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2949 on theBenchmark for (2949ds/4591Mi)
% 146.52/32.83 % (2548630)Instruction limit reached!
% 146.52/32.83 % (2548630)------------------------------
% 146.52/32.83 % (2548630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548630)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548630)Termination reason: Instruction limit
% 146.52/32.83 % (2548630)Termination phase: Saturation
% 146.52/32.83 % (2548630)Time elapsed: 0.955 s
% 146.52/32.83 % (2548630)Peak memory usage: 25 MB
% 146.52/32.83 % (2548630)Instructions burned: 4591 (million)
% 146.52/32.83 % (2548632)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2599602319:i=29340_2939 on theBenchmark for (2939ds/29340Mi)
% 146.52/32.83 % (2548602)Instruction limit reached!
% 146.52/32.83 % (2548602)------------------------------
% 146.52/32.83 % (2548602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548602)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548602)Termination reason: Instruction limit
% 146.52/32.83 % (2548602)Termination phase: Finite model building SAT solving
% 146.52/32.83 % (2548602)Time elapsed: 7.280 s
% 146.52/32.83 % (2548602)Peak memory usage: 37 MB
% 146.52/32.83 % (2548602)Instructions burned: 22063 (million)
% 146.52/32.83 % (2548635)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3426619256:i=5211_2922 on theBenchmark for (2922ds/5211Mi)
% 146.52/32.83 % (2548635)Instruction limit reached!
% 146.52/32.83 % (2548635)------------------------------
% 146.52/32.83 % (2548635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548635)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548635)Termination reason: Instruction limit
% 146.52/32.83 % (2548635)Termination phase: Saturation
% 146.52/32.83 % (2548635)Time elapsed: 1.596 s
% 146.52/32.83 % (2548635)Peak memory usage: 65 MB
% 146.52/32.83 % (2548635)Instructions burned: 5215 (million)
% 146.52/32.83 % (2548637)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1831900800:i=5497:nm=2_2906 on theBenchmark for (2906ds/5497Mi)
% 146.52/32.83 % TRYING [17]
% 146.52/32.83 % (2548637)Instruction limit reached!
% 146.52/32.83 % (2548637)------------------------------
% 146.52/32.83 % (2548637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548637)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548637)Termination reason: Instruction limit
% 146.52/32.83 % (2548637)Termination phase: Finite model building constraint generation
% 146.52/32.83 % (2548637)Time elapsed: 1.062 s
% 146.52/32.83 % (2548637)Peak memory usage: 358 MB
% 146.52/32.83 % (2548637)Instructions burned: 5503 (million)
% 146.52/32.83 % (2548639)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3421480765:fmbsr=2:i=46332_2895 on theBenchmark for (2895ds/46332Mi)
% 146.52/32.83 % TRYING [15]
% 146.52/32.83 % (2548632)Instruction limit reached!
% 146.52/32.83 % (2548632)------------------------------
% 146.52/32.83 % (2548632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548632)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548632)Termination reason: Instruction limit
% 146.52/32.83 % (2548632)Termination phase: Saturation
% 146.52/32.83 % (2548632)Time elapsed: 7.977 s
% 146.52/32.83 % (2548632)Peak memory usage: 157 MB
% 146.52/32.83 % (2548632)Instructions burned: 29342 (million)
% 146.52/32.83 % (2548641)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1709123013:i=14071_2859 on theBenchmark for (2859ds/14071Mi)
% 146.52/32.83 % TRYING [12]
% 146.52/32.83 % (2548570)Instruction limit reached!
% 146.52/32.83 % (2548570)------------------------------
% 146.52/32.83 % (2548570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548570)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548570)Termination reason: Instruction limit
% 146.52/32.83 % (2548570)Termination phase: Saturation
% 146.52/32.83 % (2548570)Time elapsed: 17.255 s
% 146.52/32.83 % (2548570)Peak memory usage: 147 MB
% 146.52/32.83 % (2548570)Instructions burned: 88026 (million)
% 146.52/32.83 % (2548643)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=399498096:i=22565:add=on:rawr=on_2827 on theBenchmark for (2827ds/22565Mi)
% 146.52/32.83 % (2548641)Instruction limit reached!
% 146.52/32.83 % (2548641)------------------------------
% 146.52/32.83 % (2548641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548641)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548641)Termination reason: Instruction limit
% 146.52/32.83 % (2548641)Termination phase: Finite model building SAT solving
% 146.52/32.83 % (2548641)Time elapsed: 5.603 s
% 146.52/32.83 % (2548641)Peak memory usage: 490 MB
% 146.52/32.83 % (2548641)Instructions burned: 14072 (million)
% 146.52/32.83 % (2548645)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2420102227:i=8173:av=off_2802 on theBenchmark for (2802ds/8173Mi)
% 146.52/32.83 % (2548620)Instruction limit reached!
% 146.52/32.83 % (2548620)------------------------------
% 146.52/32.83 % (2548620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548620)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548620)Termination reason: Instruction limit
% 146.52/32.83 % (2548620)Termination phase: Finite model building SAT solving
% 146.52/32.83 % (2548620)Time elapsed: 18.890 s
% 146.52/32.83 % (2548620)Peak memory usage: 38 MB
% 146.52/32.83 % (2548620)Instructions burned: 54282 (million)
% 146.52/32.83 % (2548647)dis+10_16:1_sil=16000:random_seed=3975402043:i=9155:fsr=off_2784 on theBenchmark for (2784ds/9155Mi)
% 146.52/32.83 % (2548643)Instruction limit reached!
% 146.52/32.83 % (2548643)------------------------------
% 146.52/32.83 % (2548643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548643)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548643)Termination reason: Instruction limit
% 146.52/32.83 % (2548643)Termination phase: Saturation
% 146.52/32.83 % (2548643)Time elapsed: 4.533 s
% 146.52/32.83 % (2548643)Peak memory usage: 49 MB
% 146.52/32.83 % (2548643)Instructions burned: 22567 (million)
% 146.52/32.83 % (2548649)ott-3_8_sil=64000:random_seed=1447423558:i=20139:bs=on_2781 on theBenchmark for (2781ds/20139Mi)
% 146.52/32.83 % (2548645)Instruction limit reached!
% 146.52/32.83 % (2548645)------------------------------
% 146.52/32.83 % (2548645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548645)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548645)Termination reason: Instruction limit
% 146.52/32.83 % (2548645)Termination phase: Saturation
% 146.52/32.83 % (2548645)Time elapsed: 2.988 s
% 146.52/32.83 % (2548645)Peak memory usage: 92 MB
% 146.52/32.83 % (2548645)Instructions burned: 8174 (million)
% 146.52/32.83 % (2548651)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3245644441:fmbsr=2:i=32576_2772 on theBenchmark for (2772ds/32576Mi)
% 146.52/32.83 % TRYING [9]
% 146.52/32.83 % (2548647)Instruction limit reached!
% 146.52/32.83 % (2548647)------------------------------
% 146.52/32.83 % (2548647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548647)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548647)Termination reason: Instruction limit
% 146.52/32.83 % (2548647)Termination phase: Saturation
% 146.52/32.83 % (2548647)Time elapsed: 2.865 s
% 146.52/32.83 % (2548647)Peak memory usage: 108 MB
% 146.52/32.83 % (2548647)Instructions burned: 9157 (million)
% 146.52/32.83 % (2548653)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2072528978:i=11404_2755 on theBenchmark for (2755ds/11404Mi)
% 146.52/32.83 % (2548653)Instruction limit reached!
% 146.52/32.83 % (2548653)------------------------------
% 146.52/32.83 % (2548653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548653)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548653)Termination reason: Instruction limit
% 146.52/32.83 % (2548653)Termination phase: Saturation
% 146.52/32.83 % (2548653)Time elapsed: 4.324 s
% 146.52/32.83 % (2548653)Peak memory usage: 153 MB
% 146.52/32.83 % (2548653)Instructions burned: 11405 (million)
% 146.52/32.83 % (2548655)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=88275341:i=14134_2711 on theBenchmark for (2711ds/14134Mi)
% 146.52/32.83 % (2548639)Instruction limit reached!
% 146.52/32.83 % (2548639)------------------------------
% 146.52/32.83 % (2548639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548639)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548639)Termination reason: Instruction limit
% 146.52/32.83 % (2548639)Termination phase: Finite model building SAT solving
% 146.52/32.83 % (2548639)Time elapsed: 18.449 s
% 146.52/32.83 % (2548639)Peak memory usage: 1413 MB
% 146.52/32.83 % (2548639)Instructions burned: 46335 (million)
% 146.52/32.83 % (2548657)dis+33_16_sil=32000:sac=on:random_seed=3412197891:i=15851:nm=0_2709 on theBenchmark for (2709ds/15851Mi)
% 146.52/32.83 % (2548649)Instruction limit reached!
% 146.52/32.83 % (2548649)------------------------------
% 146.52/32.83 % (2548649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548649)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548649)Termination reason: Instruction limit
% 146.52/32.83 % (2548649)Termination phase: Saturation
% 146.52/32.83 % (2548649)Time elapsed: 7.432 s
% 146.52/32.83 % (2548649)Peak memory usage: 139 MB
% 146.52/32.83 % (2548649)Instructions burned: 20140 (million)
% 146.52/32.83 % (2548659)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1683053024:avsq=on:i=17627:add=on:amm=off_2706 on theBenchmark for (2706ds/17627Mi)
% 146.52/32.83 % (2548628)Instruction limit reached!
% 146.52/32.83 % (2548628)------------------------------
% 146.52/32.83 % (2548628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548628)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548628)Termination reason: Instruction limit
% 146.52/32.83 % (2548628)Termination phase: Finite model building SAT solving
% 146.52/32.83 % (2548628)Time elapsed: 27.296 s
% 146.52/32.83 % (2548628)Peak memory usage: 74 MB
% 146.52/32.83 % (2548628)Instructions burned: 67535 (million)
% 146.52/32.83 % (2548661)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=3972782593:s2a=on:i=53295_2676 on theBenchmark for (2676ds/53295Mi)
% 146.52/32.83 % (2548659) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2548563-2548659"...
% 146.52/32.83 % (2548659)...printing done.
% 146.52/32.83 % (2548659)Refutation found. Thanks to Tanya!
% 146.52/32.83 % SZS status Theorem for theBenchmark
% 146.52/32.83 % SZS output start Proof for theBenchmark
% See solution above
% 146.52/32.83 % (2548659)------------------------------
% 146.52/32.83 % (2548659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 146.52/32.83 % (2548659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.52/32.83 % (2548659)CaDiCaL version: 2.1.3
% 146.52/32.83 % (2548659)Termination reason: Refutation
% 146.52/32.83 % (2548659)Time elapsed: 3.097 s
% 146.52/32.83 % (2548659)Peak memory usage: 92 MB
% 146.52/32.83 % (2548659)Instructions burned: 9925 (million)
% 146.52/32.83 % (2548563)Success in time 32.497 s
% 146.52/32.83 % Vampire exiting
%------------------------------------------------------------------------------