%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL560+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:57 AM UTC 2026
% Result : Theorem 154.22s 30.75s
% Output : Refutation 211.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 145
% Number of leaves : 36
% Syntax : Number of formulae : 525 ( 210 unt; 4 def)
% Number of atoms : 1062 ( 291 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1044 ( 507 ~; 495 |; 4 &)
% ( 14 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 21 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 1164 ( 0 sgn1161 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f12,axiom,
( or_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_3) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_equiv) ).
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/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',adjunction) ).
fof(f35,axiom,
( substitution_strict_equiv
<=> ! [X0,X1] :
( is_a_theorem(strict_equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_strict_equiv) ).
fof(f45,axiom,
( axiom_m1
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m1) ).
fof(f46,axiom,
( axiom_m2
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',axiom_m3) ).
fof(f48,axiom,
( axiom_m4
<=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',axiom_m5) ).
fof(f55,axiom,
( op_possibly
=> ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_possibly) ).
fof(f57,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',op_strict_equiv) ).
fof(f59,axiom,
op_possibly,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_possibly) ).
fof(f62,axiom,
op_strict_implies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
fof(f64,axiom,
op_strict_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_equiv) ).
fof(f65,axiom,
modus_ponens_strict_implies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies) ).
fof(f66,axiom,
substitution_strict_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_substitution_strict_equiv) ).
fof(f67,axiom,
adjunction,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_adjunction) ).
fof(f68,axiom,
axiom_m1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m1) ).
fof(f69,axiom,
axiom_m2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m2) ).
fof(f70,axiom,
axiom_m3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m3) ).
fof(f71,axiom,
axiom_m4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m4) ).
fof(f72,axiom,
axiom_m5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m5) ).
fof(f73,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f74,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f75,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_equiv) ).
fof(f76,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f77,conjecture,
or_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_3) ).
fof(f78,negated_conjecture,
~ or_3,
inference(negated_conjecture,[status(cth)],[f77]) ).
fof(f79,plain,
~ or_3,
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,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
=> or_3 ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f89,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f94,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f89]) ).
fof(f95,plain,
( or_3
| ? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
inference(ennf_transformation,[],[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(f98,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
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(f109,plain,
( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(ennf_transformation,[],[f55]) ).
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,
( or_3
| ~ is_a_theorem(implies(implies(sK0,sK2),implies(implies(sK1,sK2),implies(or(sK0,sK1),sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f95]) ).
fof(f113,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f94]) ).
fof(f114,plain,
( or_3
| ~ is_a_theorem(implies(implies(sK0,sK2),implies(implies(sK1,sK2),implies(or(sK0,sK1),sK2)))) ),
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(f117,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f98]) ).
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(f126,plain,
! [X0] :
( possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(cnf_transformation,[],[f109]) ).
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(f129,plain,
op_possibly,
inference(cnf_transformation,[],[f59]) ).
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(f142,plain,
op_or,
inference(cnf_transformation,[],[f73]) ).
fof(f143,plain,
op_implies_and,
inference(cnf_transformation,[],[f74]) ).
fof(f144,plain,
op_equiv,
inference(cnf_transformation,[],[f75]) ).
fof(f145,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f76]) ).
fof(f146,plain,
~ or_3,
inference(cnf_transformation,[],[f79]) ).
fof(f147,plain,
! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)),
inference(forward_subsumption_resolution,[],[f128,f133]) ).
fof(f148,plain,
! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)),
inference(forward_subsumption_resolution,[],[f127,f131]) ).
fof(f149,plain,
! [X0] : possibly(X0) = not(necessarily(not(X0))),
inference(forward_subsumption_resolution,[],[f126,f129]) ).
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(forward_subsumption_resolution,[],[f125,f141]) ).
fof(f151,plain,
! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))),
inference(forward_subsumption_resolution,[],[f124,f140]) ).
fof(f152,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))),
inference(forward_subsumption_resolution,[],[f123,f139]) ).
fof(f153,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)),
inference(forward_subsumption_resolution,[],[f122,f138]) ).
fof(f154,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))),
inference(forward_subsumption_resolution,[],[f121,f137]) ).
fof(f155,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_equiv(X0,X1))
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f120,f135]) ).
fof(f156,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f119,f136]) ).
fof(f157,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f118,f134]) ).
fof(f158,plain,
! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
inference(forward_subsumption_resolution,[],[f117,f144]) ).
fof(f159,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f116,f143]) ).
fof(f160,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f115,f142]) ).
fof(f161,plain,
~ is_a_theorem(implies(implies(sK0,sK2),implies(implies(sK1,sK2),implies(or(sK0,sK1),sK2)))),
inference(forward_subsumption_resolution,[],[f114,f146]) ).
fof(f162,plain,
! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f113,f145]) ).
fof(f163,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f160,f159]) ).
fof(f165,plain,
! [X2,X0,X1] : or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2),
inference(superposition,[],[f163,f159]) ).
fof(f166,plain,
! [X0,X1] : strict_implies(not(X0),X1) = necessarily(or(X0,X1)),
inference(superposition,[],[f148,f163]) ).
fof(f173,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(f174,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X2))
| ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_implies(X0,X2)) ),
inference(resolution,[],[f156,f173]) ).
fof(f175,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(equiv(X0,X1)) ),
inference(superposition,[],[f156,f158]) ).
fof(f176,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,and(X1,X1)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f174,f151]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X1,X2)))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f174,f153]) ).
fof(f180,plain,
! [X0] : is_a_theorem(strict_implies(X0,X0)),
inference(resolution,[],[f177,f151]) ).
fof(f186,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X1)),
inference(resolution,[],[f154,f177]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X1,X2)))
| is_a_theorem(strict_implies(X0,X2)) ),
inference(resolution,[],[f186,f174]) ).
fof(f213,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_equiv(X0,X1)) ),
inference(superposition,[],[f156,f147]) ).
fof(f222,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X0,X1)))
| is_a_theorem(strict_equiv(X0,and(X0,X1))) ),
inference(resolution,[],[f213,f153]) ).
fof(f224,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| is_a_theorem(strict_equiv(and(X0,X1),and(X1,X0))) ),
inference(resolution,[],[f213,f154]) ).
fof(f227,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,X1),and(X1,X0))),
inference(forward_subsumption_resolution,[],[f224,f154]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X2,X0))
| ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_implies(X2,and(X1,X1))) ),
inference(resolution,[],[f176,f174]) ).
fof(f274,plain,
! [X0] : is_a_theorem(strict_equiv(X0,and(X0,X0))),
inference(resolution,[],[f222,f151]) ).
fof(f312,plain,
! [X0,X1] : and(X0,X1) = and(X1,X0),
inference(resolution,[],[f155,f227]) ).
fof(f313,plain,
! [X0] : and(X0,X0) = X0,
inference(resolution,[],[f155,f274]) ).
fof(f358,plain,
! [X2,X0,X1] : implies(implies(X1,X0),X2) = or(and(not(X0),X1),X2),
inference(superposition,[],[f165,f312]) ).
fof(f359,plain,
! [X0,X1] : implies(X1,X0) = not(and(not(X0),X1)),
inference(superposition,[],[f159,f312]) ).
fof(f362,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X0,and(X1,X2)),and(X1,and(X2,X0)))),
inference(superposition,[],[f152,f312]) ).
fof(f398,plain,
! [X0] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[],[f159,f313]) ).
fof(f406,plain,
! [X0] : or(X0,X0) = not(not(X0)),
inference(forward_demodulation,[],[f398,f163]) ).
fof(f410,plain,
! [X0] : strict_implies(not(X0),X0) = necessarily(not(not(X0))),
inference(superposition,[],[f166,f406]) ).
fof(f411,plain,
! [X0,X1] : implies(implies(X0,X1),and(X0,not(X1))) = not(not(and(X0,not(X1)))),
inference(superposition,[],[f165,f406]) ).
fof(f412,plain,
! [X0,X1] : implies(implies(X0,X1),and(X0,not(X1))) = not(implies(X0,X1)),
inference(forward_demodulation,[],[f411,f159]) ).
fof(f415,plain,
! [X2,X0,X1] : not(and(implies(X0,X1),X2)) = implies(X2,and(not(X1),X0)),
inference(superposition,[],[f359,f359]) ).
fof(f421,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(superposition,[],[f159,f359]) ).
fof(f428,plain,
! [X0,X1] : implies(not(X0),X1) = or(X1,X0),
inference(forward_demodulation,[],[f421,f163]) ).
fof(f432,plain,
! [X0,X1] : or(X0,X1) = or(X1,X0),
inference(forward_demodulation,[],[f428,f163]) ).
fof(f438,plain,
! [X0,X1] : necessarily(or(X0,X1)) = strict_implies(not(X1),X0),
inference(superposition,[],[f166,f432]) ).
fof(f440,plain,
! [X0,X1] : strict_implies(not(X0),X1) = strict_implies(not(X1),X0),
inference(forward_demodulation,[],[f438,f166]) ).
fof(f446,plain,
! [X2,X0,X1] : strict_implies(implies(X0,X1),X2) = strict_implies(not(X2),and(not(X1),X0)),
inference(superposition,[],[f440,f359]) ).
fof(f467,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(not(and(X0,X0)),X1))
| ~ is_a_theorem(strict_implies(not(X1),X0)) ),
inference(superposition,[],[f176,f440]) ).
fof(f473,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| ~ is_a_theorem(not(X1))
| is_a_theorem(X0) ),
inference(superposition,[],[f157,f440]) ).
fof(f476,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| ~ is_a_theorem(strict_implies(X2,not(X1)))
| is_a_theorem(strict_implies(X2,X0)) ),
inference(superposition,[],[f174,f440]) ).
fof(f478,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| ~ is_a_theorem(strict_implies(X0,X2))
| is_a_theorem(strict_implies(not(X1),and(X2,X2))) ),
inference(superposition,[],[f242,f440]) ).
fof(f481,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| is_a_theorem(strict_implies(not(X1),X2))
| ~ is_a_theorem(strict_implies(X0,X2)) ),
inference(forward_demodulation,[],[f478,f313]) ).
fof(f482,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X1),X0))
| is_a_theorem(strict_implies(not(X0),X1)) ),
inference(forward_demodulation,[],[f467,f313]) ).
fof(f488,plain,
! [X0] : is_a_theorem(strict_implies(not(not(X0)),X0)),
inference(resolution,[],[f482,f180]) ).
fof(f502,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_implies(not(not(X0)),and(X1,X1))) ),
inference(resolution,[],[f488,f242]) ).
fof(f505,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,not(not(X1))))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f488,f174]) ).
fof(f519,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(not(not(X0)),X1))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f502,f313]) ).
fof(f534,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(not(X0),not(X1)))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(superposition,[],[f519,f440]) ).
fof(f538,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(not(X0),X2))
| is_a_theorem(strict_implies(not(X1),and(X2,X2))) ),
inference(resolution,[],[f534,f242]) ).
fof(f552,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X2))
| ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_implies(not(X1),X2)) ),
inference(forward_demodulation,[],[f538,f313]) ).
fof(f572,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X1),X2))
| is_a_theorem(strict_implies(not(X2),X0)) ),
inference(superposition,[],[f193,f446]) ).
fof(f573,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X1),X2))
| is_a_theorem(strict_implies(not(X2),not(X1))) ),
inference(superposition,[],[f177,f446]) ).
fof(f608,plain,
! [X2,X0,X1] : implies(implies(not(X0),X1),X2) = implies(implies(not(X1),X0),X2),
inference(superposition,[],[f165,f358]) ).
fof(f610,plain,
! [X2,X0,X1] : implies(implies(X0,X1),X2) = or(X2,and(not(X1),X0)),
inference(superposition,[],[f432,f358]) ).
fof(f615,plain,
! [X2,X0,X1] : implies(implies(not(X0),X1),X2) = implies(or(X1,X0),X2),
inference(forward_demodulation,[],[f608,f163]) ).
fof(f622,plain,
! [X2,X0,X1] : implies(or(X0,X1),X2) = implies(or(X1,X0),X2),
inference(forward_demodulation,[],[f615,f163]) ).
fof(f636,plain,
! [X2,X0,X1] : strict_implies(or(X1,X0),X2) = necessarily(implies(or(X0,X1),X2)),
inference(superposition,[],[f148,f622]) ).
fof(f637,plain,
! [X2,X0,X1] : strict_implies(or(X1,X0),X2) = strict_implies(or(X0,X1),X2),
inference(forward_demodulation,[],[f636,f148]) ).
fof(f710,plain,
! [X0,X1] : is_a_theorem(strict_implies(or(X0,X1),or(X1,X0))),
inference(superposition,[],[f180,f637]) ).
fof(f722,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,or(X1,X2)))
| is_a_theorem(strict_implies(X0,or(X2,X1))) ),
inference(resolution,[],[f710,f174]) ).
fof(f820,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(X0,X1)),not(X1))),
inference(resolution,[],[f573,f180]) ).
fof(f862,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(not(X0)),implies(X1,X0))),
inference(superposition,[],[f820,f440]) ).
fof(f871,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,not(not(X1))))
| is_a_theorem(strict_implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f862,f174]) ).
fof(f942,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(X0,X1)),X0)),
inference(resolution,[],[f572,f180]) ).
fof(f949,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X2),X1))
| is_a_theorem(strict_implies(not(X0),X1)) ),
inference(resolution,[],[f942,f481]) ).
fof(f952,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_implies(not(implies(X0,X2)),and(X1,X1))) ),
inference(resolution,[],[f942,f242]) ).
fof(f960,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(not(not(X0)),X1)),X0)),
inference(resolution,[],[f942,f505]) ).
fof(f965,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(X0),implies(X0,X1))),
inference(superposition,[],[f942,f440]) ).
fof(f968,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(or(not(X0),X1)),X0)),
inference(forward_demodulation,[],[f960,f163]) ).
fof(f970,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(not(implies(X0,X2)),X1))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f952,f313]) ).
fof(f1159,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(not(X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f970,f473]) ).
fof(f1328,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(not(X1),implies(X2,X0)))
| ~ is_a_theorem(strict_implies(not(X0),X1)) ),
inference(resolution,[],[f552,f862]) ).
fof(f1330,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X2,X0))
| is_a_theorem(strict_implies(not(X1),not(X2)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f552,f534]) ).
fof(f1361,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X1,X2),X0))
| is_a_theorem(strict_implies(not(X0),not(not(X1)))) ),
inference(resolution,[],[f1330,f965]) ).
fof(f1530,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X2,and(X0,X1)),and(X1,and(X0,X2)))),
inference(superposition,[],[f362,f312]) ).
fof(f1550,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(and(X0,and(X1,X2)),and(X2,and(X1,X0))))
| is_a_theorem(strict_equiv(and(X0,and(X1,X2)),and(X2,and(X1,X0)))) ),
inference(resolution,[],[f1530,f213]) ).
fof(f1573,plain,
! [X2,X0,X1] : is_a_theorem(strict_equiv(and(X0,and(X1,X2)),and(X2,and(X1,X0)))),
inference(forward_subsumption_resolution,[],[f1550,f1530]) ).
fof(f1574,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X2,and(X1,X0)),
inference(resolution,[],[f1573,f155]) ).
fof(f1606,plain,
! [X0,X1] : and(X1,X0) = and(X0,and(X0,X1)),
inference(superposition,[],[f1574,f313]) ).
fof(f1658,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X0,and(X2,X1)),and(X0,and(X1,X2)))),
inference(superposition,[],[f362,f1574]) ).
fof(f1686,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(and(X1,X0),X2),
inference(superposition,[],[f312,f1574]) ).
fof(f1727,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(and(X0,and(X1,X2)),and(X0,and(X2,X1))))
| is_a_theorem(strict_equiv(and(X0,and(X1,X2)),and(X0,and(X2,X1)))) ),
inference(resolution,[],[f1658,f213]) ).
fof(f1771,plain,
! [X2,X0,X1] : is_a_theorem(strict_equiv(and(X0,and(X1,X2)),and(X0,and(X2,X1)))),
inference(forward_subsumption_resolution,[],[f1727,f1658]) ).
fof(f1773,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X0,and(X2,X1)),
inference(resolution,[],[f1771,f155]) ).
fof(f1945,plain,
! [X2,X0,X1] : implies(and(X2,X1),X0) = not(and(not(X0),and(X1,X2))),
inference(superposition,[],[f359,f1773]) ).
fof(f1948,plain,
! [X2,X0,X1] : implies(and(X2,X1),X0) = implies(and(X1,X2),X0),
inference(forward_demodulation,[],[f1945,f359]) ).
fof(f2065,plain,
! [X2,X0,X1] : strict_implies(and(X1,X0),X2) = necessarily(implies(and(X0,X1),X2)),
inference(superposition,[],[f148,f1948]) ).
fof(f2086,plain,
! [X2,X0,X1] : strict_implies(and(X0,X1),X2) = strict_implies(and(X1,X0),X2),
inference(forward_demodulation,[],[f2065,f148]) ).
fof(f2223,plain,
! [X0,X1] : and(X0,X1) = and(X1,and(X0,X1)),
inference(superposition,[],[f1773,f1606]) ).
fof(f2257,plain,
! [X0,X1] : not(and(X0,not(X1))) = implies(and(not(X1),X0),X1),
inference(superposition,[],[f359,f1606]) ).
fof(f2260,plain,
! [X0,X1] : implies(X0,X1) = implies(and(not(X1),X0),X1),
inference(forward_demodulation,[],[f2257,f159]) ).
fof(f2885,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(X0),or(not(X0),X1))),
inference(superposition,[],[f968,f440]) ).
fof(f3144,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(X0,X1)),not(not(X0)))),
inference(resolution,[],[f1361,f180]) ).
fof(f3167,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(not(implies(X0,X1)),implies(X2,X0))),
inference(resolution,[],[f3144,f871]) ).
fof(f3223,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(not(implies(X1,X2)),or(X0,X1))),
inference(superposition,[],[f3167,f163]) ).
fof(f3231,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(not(implies(X0,X1)),implies(X1,X2))),
inference(superposition,[],[f3167,f440]) ).
fof(f3253,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(not(or(X0,X1)),implies(X1,X2))),
inference(superposition,[],[f3231,f163]) ).
fof(f3294,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(not(or(X0,X1)),implies(X0,X2))),
inference(superposition,[],[f3253,f432]) ).
fof(f3313,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,not(implies(X1,X2))))
| is_a_theorem(strict_implies(X0,or(X1,X3))) ),
inference(resolution,[],[f3294,f476]) ).
fof(f3475,plain,
! [X2,X3,X0,X1] : is_a_theorem(strict_implies(not(implies(X0,implies(X1,X2))),or(X1,X3))),
inference(resolution,[],[f3313,f820]) ).
fof(f3543,plain,
! [X2,X3,X0,X1] : is_a_theorem(strict_implies(not(or(X0,X1)),implies(X2,implies(X0,X3)))),
inference(superposition,[],[f3475,f440]) ).
fof(f3569,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(strict_implies(not(implies(implies(X0,X1),X2)),implies(X3,implies(X2,X4)))),
inference(superposition,[],[f3543,f610]) ).
fof(f4009,plain,
! [X0] : is_a_theorem(strict_implies(not(X0),not(not(not(X0))))),
inference(superposition,[],[f2885,f406]) ).
fof(f4202,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(not(not(not(X0))),not(X0)))
| is_a_theorem(strict_equiv(not(not(not(X0))),not(X0))) ),
inference(resolution,[],[f4009,f213]) ).
fof(f4214,plain,
! [X0] : is_a_theorem(strict_equiv(not(not(not(X0))),not(X0))),
inference(forward_subsumption_resolution,[],[f4202,f488]) ).
fof(f4215,plain,
! [X0] : not(X0) = not(not(not(X0))),
inference(resolution,[],[f4214,f155]) ).
fof(f4222,plain,
! [X0,X1] : implies(X0,X1) = not(not(implies(X0,X1))),
inference(superposition,[],[f4215,f359]) ).
fof(f4240,plain,
! [X0,X1] : implies(not(X0),X1) = or(not(not(X0)),X1),
inference(superposition,[],[f163,f4215]) ).
fof(f4243,plain,
! [X0,X1] : not(and(not(X0),X1)) = implies(X1,not(not(X0))),
inference(superposition,[],[f359,f4215]) ).
fof(f4310,plain,
! [X0,X1] : implies(X1,X0) = implies(X1,not(not(X0))),
inference(forward_demodulation,[],[f4243,f359]) ).
fof(f4313,plain,
! [X0,X1] : or(X0,X1) = or(not(not(X0)),X1),
inference(forward_demodulation,[],[f4240,f163]) ).
fof(f4318,plain,
! [X0,X1] : or(X0,X1) = not(not(or(X0,X1))),
inference(superposition,[],[f4222,f163]) ).
fof(f4341,plain,
! [X2,X0,X1] : not(and(implies(X0,X1),X2)) = implies(X2,not(implies(X0,X1))),
inference(superposition,[],[f359,f4222]) ).
fof(f4403,plain,
! [X2,X0,X1] : implies(X2,and(not(X1),X0)) = implies(X2,not(implies(X0,X1))),
inference(forward_demodulation,[],[f4341,f415]) ).
fof(f4429,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,not(not(X1))),
inference(superposition,[],[f148,f4310]) ).
fof(f4503,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(X0,not(not(X1))),
inference(forward_demodulation,[],[f4429,f148]) ).
fof(f4518,plain,
! [X2,X0,X1] : strict_implies(X2,and(not(X1),X0)) = strict_implies(X2,not(implies(X0,X1))),
inference(superposition,[],[f4503,f359]) ).
fof(f4542,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(not(X1)),X0))
| ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_equiv(not(not(X1)),X0)) ),
inference(superposition,[],[f213,f4503]) ).
fof(f4715,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(X0,X0))
| is_a_theorem(strict_equiv(not(not(X0)),X0)) ),
inference(resolution,[],[f4542,f488]) ).
fof(f4716,plain,
! [X0,X1] :
( is_a_theorem(strict_equiv(not(not(X1)),X0))
| ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(resolution,[],[f4542,f519]) ).
fof(f4758,plain,
! [X0] : is_a_theorem(strict_equiv(not(not(X0)),X0)),
inference(forward_subsumption_resolution,[],[f4715,f180]) ).
fof(f4766,plain,
! [X0] : not(not(X0)) = X0,
inference(resolution,[],[f4758,f155]) ).
fof(f4776,plain,
! [X0,X1] : not(implies(X0,X1)) = and(not(X1),X0),
inference(superposition,[],[f4766,f359]) ).
fof(f4777,plain,
! [X0] : not(possibly(X0)) = necessarily(not(X0)),
inference(superposition,[],[f4766,f149]) ).
fof(f4779,plain,
! [X0] : necessarily(X0) = strict_implies(not(X0),X0),
inference(superposition,[],[f410,f4766]) ).
fof(f4783,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,X0))),
inference(superposition,[],[f862,f4766]) ).
fof(f4796,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X1,X0)),
inference(superposition,[],[f159,f4766]) ).
fof(f4797,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(superposition,[],[f163,f4766]) ).
fof(f4800,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X0,X1)),
inference(superposition,[],[f359,f4766]) ).
fof(f4801,plain,
! [X0] : necessarily(not(X0)) = strict_implies(X0,not(X0)),
inference(superposition,[],[f410,f4766]) ).
fof(f4804,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(not(X1),not(X0)),
inference(superposition,[],[f440,f4766]) ).
fof(f4820,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,not(X0)))
| is_a_theorem(strict_implies(X0,not(X1))) ),
inference(superposition,[],[f534,f4766]) ).
fof(f4822,plain,
! [X2,X0,X1] : implies(implies(X1,not(X0)),X2) = or(X2,and(X0,X1)),
inference(superposition,[],[f610,f4766]) ).
fof(f4843,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,or(X0,X1))),
inference(superposition,[],[f2885,f4766]) ).
fof(f4867,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,not(X1)),
inference(forward_demodulation,[],[f4796,f4800]) ).
fof(f4891,plain,
! [X2,X0,X1] : implies(X2,implies(X0,X1)) = implies(and(X0,not(X1)),not(X2)),
inference(superposition,[],[f4867,f159]) ).
fof(f4892,plain,
! [X2,X0,X1] : implies(X2,implies(X0,X1)) = implies(and(not(X1),X0),not(X2)),
inference(superposition,[],[f4867,f359]) ).
fof(f4975,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = necessarily(implies(X0,not(X1))),
inference(superposition,[],[f148,f4867]) ).
fof(f5024,plain,
! [X0,X1] : or(X1,not(X0)) = implies(X0,not(not(X1))),
inference(superposition,[],[f163,f4867]) ).
fof(f5035,plain,
! [X0,X1] : implies(X0,X1) = or(X1,not(X0)),
inference(forward_demodulation,[],[f5024,f4310]) ).
fof(f5053,plain,
! [X0,X1] : strict_implies(X0,not(X1)) = strict_implies(X1,not(X0)),
inference(forward_demodulation,[],[f4975,f148]) ).
fof(f5537,plain,
! [X0] : not(X0) = implies(X0,not(X0)),
inference(superposition,[],[f4800,f313]) ).
fof(f5623,plain,
! [X2,X0,X1] : implies(and(X1,X0),not(X2)) = implies(X2,implies(X0,not(X1))),
inference(superposition,[],[f4867,f4800]) ).
fof(f5706,plain,
! [X2,X0,X1] : implies(and(X1,X0),X2) = or(implies(X0,not(X1)),X2),
inference(superposition,[],[f4797,f4800]) ).
fof(f5707,plain,
! [X2,X0,X1] : implies(and(not(X1),X0),X2) = or(implies(X0,X1),X2),
inference(superposition,[],[f4797,f359]) ).
fof(f6067,plain,
! [X0,X1] : and(not(X1),not(X0)) = not(or(X0,X1)),
inference(superposition,[],[f4776,f163]) ).
fof(f6105,plain,
! [X2,X3,X0,X1] : strict_implies(implies(X2,X3),implies(X1,X0)) = strict_implies(and(not(X0),X1),and(not(X3),X2)),
inference(superposition,[],[f446,f4776]) ).
fof(f7055,plain,
! [X2,X3,X0,X1] : implies(X2,implies(X3,and(X1,X0))) = implies(and(X3,implies(X0,not(X1))),not(X2)),
inference(superposition,[],[f4891,f4800]) ).
fof(f7086,plain,
! [X0,X1] : implies(not(X1),not(X0)) = implies(X0,implies(not(not(X0)),X1)),
inference(superposition,[],[f2260,f4891]) ).
fof(f7184,plain,
! [X0,X1] : implies(not(X1),not(X0)) = implies(X0,or(not(X0),X1)),
inference(forward_demodulation,[],[f7086,f163]) ).
fof(f7219,plain,
! [X0,X1] : implies(not(X1),not(X0)) = implies(X0,implies(X0,X1)),
inference(forward_demodulation,[],[f7184,f4797]) ).
fof(f7244,plain,
! [X0,X1] : implies(X0,implies(X0,X1)) = or(X1,not(X0)),
inference(forward_demodulation,[],[f7219,f163]) ).
fof(f7255,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,implies(X0,X1)),
inference(forward_demodulation,[],[f7244,f5035]) ).
fof(f7285,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,implies(X0,X1)),
inference(superposition,[],[f148,f7255]) ).
fof(f7342,plain,
! [X0,X1] : implies(not(X0),X1) = or(X0,implies(not(X0),X1)),
inference(superposition,[],[f163,f7255]) ).
fof(f7349,plain,
! [X0,X1] : or(X0,X1) = or(X0,or(X0,X1)),
inference(forward_demodulation,[],[f7342,f163]) ).
fof(f7353,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(X0,implies(X0,X1)),
inference(forward_demodulation,[],[f7285,f148]) ).
fof(f7372,plain,
! [X0,X1] : strict_implies(not(X0),X1) = strict_implies(not(X0),or(X0,X1)),
inference(superposition,[],[f7353,f163]) ).
fof(f7662,plain,
! [X0,X1] : or(X0,X1) = or(X1,or(X0,X1)),
inference(superposition,[],[f7349,f432]) ).
fof(f7663,plain,
! [X0,X1] : implies(X0,X1) = or(X1,implies(X0,X1)),
inference(superposition,[],[f7349,f5035]) ).
fof(f7734,plain,
! [X0,X1] : strict_implies(not(X1),not(X0)) = strict_implies(not(X1),implies(X0,X1)),
inference(superposition,[],[f7372,f5035]) ).
fof(f7788,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(not(X1),implies(X0,X1)),
inference(forward_demodulation,[],[f7734,f4804]) ).
fof(f7830,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(not(X1),X1)) ),
inference(superposition,[],[f1328,f7788]) ).
fof(f7834,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(X0,implies(implies(X1,X2),implies(X1,X2)))),
inference(superposition,[],[f3569,f7788]) ).
fof(f7874,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(necessarily(X1)) ),
inference(forward_demodulation,[],[f7830,f4779]) ).
fof(f7927,plain,
! [X0,X1] : is_a_theorem(strict_implies(X1,implies(not(X0),not(X0)))),
inference(superposition,[],[f7834,f5537]) ).
fof(f7956,plain,
! [X0,X1] : is_a_theorem(strict_implies(X1,or(X0,not(X0)))),
inference(forward_demodulation,[],[f7927,f163]) ).
fof(f7981,definition,
( spl3_3
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f7982,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f7981]) ).
fof(f7988,plain,
! [X0,X1] : is_a_theorem(strict_implies(X1,implies(X0,X0))),
inference(forward_demodulation,[],[f7956,f5035]) ).
fof(f8030,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) ),
inference(resolution,[],[f7988,f157]) ).
fof(f8033,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| is_a_theorem(strict_implies(X2,and(X1,X1))) ),
inference(resolution,[],[f7988,f242]) ).
fof(f8039,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(X0,X0)),X1)),
inference(resolution,[],[f7988,f572]) ).
fof(f8072,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(X0,X0)),X1)),
inference(superposition,[],[f7988,f440]) ).
fof(f8115,plain,
( $false
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f8039,f7982]) ).
fof(f8116,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f8115]) ).
fof(f8117,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(not(X0),X0),X1)),
inference(forward_demodulation,[],[f8072,f4776]) ).
fof(f8139,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| is_a_theorem(strict_implies(X2,X1)) ),
inference(forward_demodulation,[],[f8033,f313]) ).
fof(f8141,definition,
( spl3_7
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f8142,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f8141]) ).
fof(f8143,plain,
( spl3_7
| spl3_3 ),
inference(avatar_split_clause,[],[f8030,f7981,f8141]) ).
fof(f8177,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(not(X0))
| is_a_theorem(implies(and(not(X1),X1),X2)) ),
inference(resolution,[],[f8117,f1159]) ).
fof(f8209,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,not(X0)),X1)),
inference(superposition,[],[f8117,f2086]) ).
fof(f8229,plain,
! [X2,X0,X1] :
( is_a_theorem(or(implies(X1,X1),X2))
| ~ is_a_theorem(not(X0)) ),
inference(forward_demodulation,[],[f8177,f5707]) ).
fof(f8240,definition,
( spl3_10
<=> ! [X0] : ~ is_a_theorem(not(X0)) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f8241,plain,
( ! [X0] : ~ is_a_theorem(not(X0))
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f8240]) ).
fof(f8243,definition,
( spl3_11
<=> ! [X2,X1] : is_a_theorem(or(implies(X1,X1),X2)) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f8244,plain,
( ! [X2,X1] : is_a_theorem(or(implies(X1,X1),X2))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f8243]) ).
fof(f8245,plain,
( spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f8229,f8243,f8240]) ).
fof(f8264,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[],[f8139,f4783]) ).
fof(f8410,plain,
! [X0] : is_a_theorem(necessarily(not(and(X0,not(X0))))),
inference(superposition,[],[f8209,f4801]) ).
fof(f8412,plain,
! [X0] : is_a_theorem(not(possibly(and(X0,not(X0))))),
inference(forward_demodulation,[],[f8410,f4777]) ).
fof(f8423,plain,
( $false
| ~ spl3_10 ),
inference(forward_subsumption_resolution,[],[f8412,f8241]) ).
fof(f8424,plain,
~ spl3_10,
inference(avatar_contradiction_clause,[],[f8423]) ).
fof(f8439,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl3_11 ),
inference(superposition,[],[f8244,f5035]) ).
fof(f10045,plain,
! [X2,X3,X0,X1] : or(implies(and(X1,X0),X2),X3) = implies(and(X0,and(X1,not(X2))),X3),
inference(superposition,[],[f5707,f1574]) ).
fof(f13066,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(necessarily(or(X0,X1)))
| is_a_theorem(strict_implies(X2,or(X1,X0))) ),
inference(resolution,[],[f7874,f722]) ).
fof(f13131,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(X2,or(X1,X0)))
| ~ is_a_theorem(strict_implies(not(X0),X1)) ),
inference(forward_demodulation,[],[f13066,f166]) ).
fof(f13206,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(X2,implies(X0,X1)))
| ~ is_a_theorem(strict_implies(not(X1),not(X0))) ),
inference(superposition,[],[f13131,f4797]) ).
fof(f13228,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(X2,implies(X0,X1)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f13206,f4804]) ).
fof(f15507,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(X1,X0))
| not(not(X1)) = X0 ),
inference(resolution,[],[f4716,f155]) ).
fof(f15531,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| ~ is_a_theorem(strict_implies(X0,X1))
| X0 = X1 ),
inference(forward_demodulation,[],[f15507,f4766]) ).
fof(f15543,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X1),X1))
| implies(X0,X1) = X1 ),
inference(resolution,[],[f15531,f4783]) ).
fof(f15544,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| implies(X0,X0) = X1 ),
inference(resolution,[],[f15531,f7988]) ).
fof(f15610,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X0,X1)))
| and(X0,X1) = X0 ),
inference(resolution,[],[f15531,f153]) ).
fof(f15751,plain,
! [X0,X1] : implies(X0,X0) = implies(X1,X1),
inference(resolution,[],[f15544,f7988]) ).
fof(f15752,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X2))
| implies(X1,X2) = implies(X0,X0) ),
inference(resolution,[],[f15544,f13228]) ).
fof(f15755,plain,
! [X2,X0,X1] : implies(X0,X0) = implies(X1,implies(X2,X2)),
inference(resolution,[],[f15544,f8264]) ).
fof(f16049,plain,
! [X0,X1] : not(implies(X0,X0)) = and(not(X1),X1),
inference(superposition,[],[f4776,f15751]) ).
fof(f16145,plain,
! [X0,X1] : and(not(X0),X0) = and(not(X1),X1),
inference(forward_demodulation,[],[f16049,f4776]) ).
fof(f25977,plain,
! [X2,X0,X1] : strict_implies(implies(X1,X1),X2) = strict_implies(not(X2),and(not(X0),X0)),
inference(superposition,[],[f446,f16145]) ).
fof(f25978,plain,
! [X2,X0,X1] : implies(implies(X1,X1),X2) = or(X2,and(not(X0),X0)),
inference(superposition,[],[f610,f16145]) ).
fof(f26128,plain,
! [X2,X0,X1] : implies(implies(X1,X1),X2) = implies(implies(X0,X0),X2),
inference(forward_demodulation,[],[f25978,f610]) ).
fof(f26129,plain,
! [X2,X0,X1] : strict_implies(implies(X0,X0),X2) = strict_implies(implies(X1,X1),X2),
inference(forward_demodulation,[],[f25977,f446]) ).
fof(f27828,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X2,X2))
| is_a_theorem(X1) ),
inference(superposition,[],[f157,f26129]) ).
fof(f27832,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| ~ is_a_theorem(strict_implies(X1,implies(X2,X2)))
| is_a_theorem(strict_equiv(X1,implies(X2,X2))) ),
inference(superposition,[],[f213,f26129]) ).
fof(f27943,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| is_a_theorem(strict_equiv(X1,implies(X2,X2))) ),
inference(forward_subsumption_resolution,[],[f27832,f7988]) ).
fof(f27944,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| is_a_theorem(X1) )
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f27828,f8142]) ).
fof(f28167,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,not(implies(X1,X1))))
| is_a_theorem(not(X0)) )
| ~ spl3_7 ),
inference(superposition,[],[f27944,f5053]) ).
fof(f28171,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(not(X1),X1)))
| is_a_theorem(not(X0)) )
| ~ spl3_7 ),
inference(forward_demodulation,[],[f28167,f4518]) ).
fof(f28194,plain,
! [X2,X0,X1] : is_a_theorem(strict_equiv(implies(X0,implies(X1,X1)),implies(X2,X2))),
inference(resolution,[],[f27943,f8264]) ).
fof(f57793,plain,
! [X2,X3,X0,X1] : implies(not(implies(X0,X1)),implies(X1,X2)) = implies(X3,X3),
inference(resolution,[],[f15752,f3231]) ).
fof(f58001,plain,
! [X2,X3,X0,X1] : or(implies(X0,X1),implies(X1,X2)) = implies(X3,X3),
inference(forward_demodulation,[],[f57793,f163]) ).
fof(f58439,plain,
! [X2,X3,X0,X1] : strict_implies(X3,X3) = necessarily(or(implies(X0,X1),implies(X1,X2))),
inference(superposition,[],[f148,f58001]) ).
fof(f58677,plain,
! [X2,X3,X0,X1] : strict_implies(not(implies(X0,X1)),implies(X1,X2)) = strict_implies(X3,X3),
inference(forward_demodulation,[],[f58439,f166]) ).
fof(f58779,plain,
! [X2,X3,X0,X1] : strict_implies(X3,X3) = strict_implies(and(not(X1),X0),implies(X1,X2)),
inference(forward_demodulation,[],[f58677,f4776]) ).
fof(f58922,plain,
! [X2,X3,X0,X1] : strict_implies(X2,X2) = strict_implies(and(not(not(X0)),X3),or(X0,X1)),
inference(superposition,[],[f58779,f163]) ).
fof(f59243,plain,
! [X2,X3,X0,X1] : strict_implies(X2,X2) = strict_implies(and(X0,X3),or(X0,X1)),
inference(forward_demodulation,[],[f58922,f4766]) ).
fof(f59372,plain,
! [X2,X3,X0,X1,X4] : strict_implies(X3,X3) = strict_implies(and(X2,X4),implies(implies(X0,X1),X2)),
inference(superposition,[],[f59243,f610]) ).
fof(f59812,plain,
! [X2,X3,X0,X1] : strict_implies(X2,X2) = strict_implies(and(and(X0,not(X1)),X3),not(implies(X0,X1))),
inference(superposition,[],[f59372,f412]) ).
fof(f60129,plain,
! [X2,X3,X0,X1] : strict_implies(X2,X2) = strict_implies(and(and(X0,not(X1)),X3),and(not(X1),X0)),
inference(forward_demodulation,[],[f59812,f4518]) ).
fof(f60150,plain,
! [X2,X3,X0,X1] : strict_implies(X2,X2) = strict_implies(and(not(X1),and(X0,X3)),and(not(X1),X0)),
inference(forward_demodulation,[],[f60129,f1686]) ).
fof(f60151,plain,
! [X2,X3,X0,X1] : strict_implies(X2,X2) = strict_implies(implies(X0,X1),implies(and(X0,X3),X1)),
inference(forward_demodulation,[],[f60150,f6105]) ).
fof(f63928,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X0))
| is_a_theorem(strict_implies(not(X1),implies(and(X1,X3),X2))) ),
inference(superposition,[],[f949,f60151]) ).
fof(f64008,plain,
! [X2,X3,X1] : is_a_theorem(strict_implies(not(X1),implies(and(X1,X3),X2))),
inference(forward_subsumption_resolution,[],[f63928,f180]) ).
fof(f72529,plain,
! [X2,X3,X0,X1] : implies(X3,implies(X0,implies(X1,X2))) = implies(and(X0,and(X1,not(X2))),not(X3)),
inference(superposition,[],[f5623,f4891]) ).
fof(f73459,plain,
! [X2,X3,X0,X1] : implies(X3,implies(X0,implies(X1,X2))) = or(implies(and(X1,X0),X2),not(X3)),
inference(forward_demodulation,[],[f72529,f10045]) ).
fof(f73720,plain,
! [X2,X3,X0,X1] : implies(X3,implies(and(X1,X0),X2)) = implies(X3,implies(X0,implies(X1,X2))),
inference(forward_demodulation,[],[f73459,f5035]) ).
fof(f74881,plain,
( ! [X0,X1] : is_a_theorem(not(and(X0,and(not(and(X1,X0)),X1))))
| ~ spl3_7 ),
inference(resolution,[],[f28171,f362]) ).
fof(f75061,plain,
( ! [X0,X1] : is_a_theorem(implies(and(not(and(X1,X0)),X1),not(X0)))
| ~ spl3_7 ),
inference(forward_demodulation,[],[f74881,f4800]) ).
fof(f75132,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X1,X0))))
| ~ spl3_7 ),
inference(forward_demodulation,[],[f75061,f4892]) ).
fof(f75224,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,and(not(X0),X1))))
| ~ spl3_7 ),
inference(superposition,[],[f75132,f163]) ).
fof(f75252,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(implies(X1,X0),X0)))
| ~ spl3_7 ),
inference(forward_demodulation,[],[f75224,f610]) ).
fof(f75369,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X0),implies(implies(implies(X1,X1),X2),X2)))
| ~ spl3_7 ),
inference(superposition,[],[f75252,f26128]) ).
fof(f76036,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X0),X1),X1),implies(X2,X2)))
| is_a_theorem(equiv(implies(implies(implies(X0,X0),X1),X1),implies(X2,X2))) )
| ~ spl3_7 ),
inference(resolution,[],[f75369,f175]) ).
fof(f76258,plain,
( ! [X2,X0,X1] : is_a_theorem(equiv(implies(implies(implies(X0,X0),X1),X1),implies(X2,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_subsumption_resolution,[],[f76036,f8439]) ).
fof(f76286,plain,
( ! [X2,X0,X1] : implies(X2,X2) = implies(implies(implies(X0,X0),X1),X1)
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f76258,f162]) ).
fof(f77084,plain,
( ! [X2,X0,X1] : necessarily(implies(X0,X0)) = strict_implies(implies(implies(X1,X1),X2),X2)
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f148,f76286]) ).
fof(f77352,plain,
( ! [X2,X0,X1] : strict_implies(X0,X0) = strict_implies(implies(implies(X1,X1),X2),X2)
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f77084,f148]) ).
fof(f77879,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X0))
| implies(implies(X1,X1),X2) = X2 )
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f15543,f77352]) ).
fof(f77943,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X0))
| is_a_theorem(strict_implies(X2,not(implies(implies(X1,X1),not(X2))))) )
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f4820,f77352]) ).
fof(f78000,plain,
( ! [X2,X1] : is_a_theorem(strict_implies(X2,not(implies(implies(X1,X1),not(X2)))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_subsumption_resolution,[],[f77943,f180]) ).
fof(f78016,plain,
( ! [X2,X1] : implies(implies(X1,X1),X2) = X2
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_subsumption_resolution,[],[f77879,f180]) ).
fof(f78081,plain,
( ! [X2,X1] : is_a_theorem(strict_implies(X2,and(not(not(X2)),implies(X1,X1))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f78000,f4518]) ).
fof(f78122,plain,
( ! [X2,X1] : is_a_theorem(strict_implies(X2,and(X2,implies(X1,X1))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f78081,f4766]) ).
fof(f78352,plain,
( ! [X0,X1] : necessarily(X0) = strict_implies(implies(X1,X1),X0)
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f148,f78016]) ).
fof(f78353,plain,
( ! [X0,X1] : equiv(implies(X1,X1),X0) = and(X0,implies(X0,implies(X1,X1)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f158,f78016]) ).
fof(f81036,plain,
( ! [X0,X1] : and(X0,implies(X1,X1)) = X0
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f78122,f15610]) ).
fof(f81425,plain,
( ! [X0,X1] : and(implies(X1,X1),X0) = X0
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f2223,f81036]) ).
fof(f89925,plain,
( ! [X2,X0,X1] : equiv(implies(X1,X1),X2) = and(X2,implies(X0,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f78353,f15755]) ).
fof(f90252,plain,
( ! [X2,X1] : equiv(implies(X1,X1),X2) = X2
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f89925,f81036]) ).
fof(f90486,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| implies(X1,X1) = X0 )
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f162,f90252]) ).
fof(f90520,plain,
( ! [X2,X0,X1] : implies(X0,X0) = implies(X1,implies(implies(X1,X2),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f90486,f75252]) ).
fof(f90568,plain,
( ! [X0,X1] : implies(X0,X0) = strict_implies(X1,X1)
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f90486,f180]) ).
fof(f90571,plain,
( ! [X2,X0,X1] : implies(X0,X0) = strict_implies(X1,implies(X2,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f90486,f7988]) ).
fof(f91562,plain,
( ! [X2,X0,X1] : implies(X0,X0) = or(X1,implies(implies(not(X1),X2),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f163,f90520]) ).
fof(f91592,plain,
( ! [X2,X0,X1] : implies(X0,X0) = or(X1,implies(or(X1,X2),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f91562,f163]) ).
fof(f93069,plain,
( ! [X2,X0,X1] : implies(X2,X2) = or(X1,implies(or(X0,X1),X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f91592,f622]) ).
fof(f94080,plain,
( ! [X0,X1] : and(X1,strict_implies(X0,X0)) = X1
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f81036,f90568]) ).
fof(f96894,plain,
( ! [X2,X0,X1] : strict_equiv(X1,implies(X2,X2)) = and(implies(X0,X0),strict_implies(implies(X2,X2),X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f147,f90571]) ).
fof(f97097,plain,
( ! [X2,X1] : strict_implies(implies(X2,X2),X1) = strict_equiv(X1,implies(X2,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f96894,f81425]) ).
fof(f97296,plain,
( ! [X2,X1] : necessarily(X1) = strict_equiv(X1,implies(X2,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f97097,f78352]) ).
fof(f105053,plain,
( ! [X3,X0,X1] : is_a_theorem(strict_equiv(or(X0,implies(or(X1,X0),X1)),implies(X3,X3)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f28194,f93069]) ).
fof(f105090,plain,
( ! [X2,X0,X1] : necessarily(implies(X0,X0)) = strict_implies(not(X1),implies(or(X2,X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f166,f93069]) ).
fof(f105243,plain,
( ! [X2,X0,X1] : strict_implies(X0,X0) = strict_implies(not(X1),implies(or(X2,X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f105090,f148]) ).
fof(f105254,plain,
( ! [X0,X1] : is_a_theorem(necessarily(or(X0,implies(or(X1,X0),X1))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f105053,f97296]) ).
fof(f105437,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(not(X0),implies(or(X1,X0),X1)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f105254,f166]) ).
fof(f106120,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(strict_implies(and(strict_implies(X1,not(X2)),strict_implies(X0,X0)),strict_implies(X1,implies(or(X3,X2),X3))))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f150,f105243]) ).
fof(f106162,plain,
( ! [X2,X3,X1] : is_a_theorem(strict_implies(strict_implies(X1,not(X2)),strict_implies(X1,implies(or(X3,X2),X3))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f106120,f94080]) ).
fof(f107149,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(not(X0),not(X1)),strict_implies(or(X0,X1),X0)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f106162,f7788]) ).
fof(f107208,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X1,X0),strict_implies(or(X0,X1),X0)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f107149,f4804]) ).
fof(f119235,plain,
( ! [X0,X1] :
( is_a_theorem(strict_implies(or(X1,X0),X1))
| ~ is_a_theorem(strict_implies(X0,X1)) )
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f107208,f157]) ).
fof(f119759,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(X1,or(X1,X0)))
| or(X1,X0) = X1 )
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119235,f15531]) ).
fof(f119866,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| or(X1,X0) = X1 )
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_subsumption_resolution,[],[f119759,f4843]) ).
fof(f119953,plain,
( ! [X2,X0,X1] : implies(and(X0,X1),X2) = or(implies(and(X0,X1),X2),not(X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119866,f64008]) ).
fof(f119955,plain,
( ! [X0,X1] : implies(or(X0,X1),X0) = or(implies(or(X0,X1),X0),not(X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119866,f105437]) ).
fof(f119960,plain,
( ! [X0,X1] : or(X0,not(implies(X0,X1))) = X0
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119866,f942]) ).
fof(f119961,plain,
( ! [X2,X0,X1] :
( or(X0,not(implies(X1,X2))) = X0
| ~ is_a_theorem(strict_implies(X1,X0)) )
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119866,f970]) ).
fof(f119962,plain,
( ! [X2,X0,X1] : implies(X0,X1) = or(implies(X0,X1),not(implies(X1,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119866,f3167]) ).
fof(f119963,plain,
( ! [X2,X0,X1] : implies(X0,X1) = or(implies(X0,X1),not(implies(X2,X0)))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119866,f3231]) ).
fof(f119968,plain,
( ! [X2,X0,X1] : or(X0,X1) = or(or(X0,X1),not(implies(X1,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119866,f3223]) ).
fof(f119981,plain,
( ! [X2,X0,X1] : implies(X0,X1) = or(implies(X0,X1),not(or(X2,X0)))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119866,f3253]) ).
fof(f119982,plain,
( ! [X2,X0,X1] : implies(X0,X1) = or(implies(X0,X1),not(or(X0,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f119866,f3294]) ).
fof(f120328,plain,
( ! [X2,X0,X1] : implies(X0,X1) = implies(or(X0,X2),implies(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f119982,f5035]) ).
fof(f120329,plain,
( ! [X2,X0,X1] : implies(X0,X1) = implies(or(X2,X0),implies(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f119981,f5035]) ).
fof(f120342,plain,
( ! [X2,X0,X1] : or(X0,X1) = implies(implies(X1,X2),or(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f119968,f5035]) ).
fof(f120347,plain,
( ! [X2,X0,X1] : implies(X0,X1) = implies(implies(X2,X0),implies(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f119963,f5035]) ).
fof(f120348,plain,
( ! [X2,X0,X1] : implies(X0,X1) = implies(implies(X1,X2),implies(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f119962,f5035]) ).
fof(f120349,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| implies(implies(X1,X2),X0) = X0 )
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f119961,f5035]) ).
fof(f120350,plain,
( ! [X0,X1] : implies(implies(X0,X1),X0) = X0
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f119960,f5035]) ).
fof(f120354,plain,
( ! [X0,X1] : implies(or(X0,X1),X0) = implies(X1,implies(or(X0,X1),X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f119955,f5035]) ).
fof(f120355,plain,
( ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(and(X0,X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f119953,f5035]) ).
fof(f120456,plain,
( ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(X1,implies(X0,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f120355,f73720]) ).
fof(f120840,plain,
( ! [X0,X1] : not(X0) = implies(X0,not(implies(not(X0),X1)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f4867,f120350]) ).
fof(f120854,plain,
( ! [X0,X1] : not(X0) = implies(X0,and(not(X1),not(X0)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f120840,f4403]) ).
fof(f120910,plain,
( ! [X0,X1] : not(X0) = implies(X0,not(or(X0,X1)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f120854,f6067]) ).
fof(f121763,plain,
( ! [X2,X0,X1] : necessarily(implies(X0,X1)) = strict_implies(implies(X2,X0),implies(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f148,f120347]) ).
fof(f121985,plain,
( ! [X2,X0,X1] : strict_implies(X0,X1) = strict_implies(implies(X2,X0),implies(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f121763,f148]) ).
fof(f122506,plain,
( ! [X0,X1] : not(X1) = implies(X1,not(or(X0,X1)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f120910,f7662]) ).
fof(f122604,plain,
( ! [X0,X1] : not(not(X0)) = and(not(not(or(X0,X1))),X0)
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f4776,f120910]) ).
fof(f122900,plain,
( ! [X0,X1] : not(not(X0)) = and(or(X0,X1),X0)
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f122604,f4318]) ).
fof(f123003,plain,
( ! [X0,X1] : and(or(X0,X1),X0) = X0
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f122900,f4766]) ).
fof(f123125,plain,
( ! [X2,X0,X1] : implies(X1,implies(X0,X2)) = implies(X0,implies(X1,implies(X0,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f120348,f120350]) ).
fof(f123794,plain,
( ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X1,implies(X0,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f123125,f120456]) ).
fof(f126478,plain,
( ! [X2,X3,X0,X1] : implies(and(not(X1),X0),X3) = implies(implies(implies(X0,X1),X2),implies(and(not(X1),X0),X3))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f120328,f358]) ).
fof(f126891,plain,
( ! [X2,X3,X0,X1] : implies(and(not(X1),X0),X3) = implies(implies(implies(X0,X1),X2),implies(X0,implies(not(X1),X3)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f126478,f73720]) ).
fof(f126906,plain,
( ! [X2,X3,X0,X1] : implies(and(not(X1),X0),X3) = implies(implies(implies(X0,X1),X2),implies(X0,or(X1,X3)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f126891,f163]) ).
fof(f126912,plain,
( ! [X2,X3,X0,X1] : or(implies(X0,X1),X3) = implies(implies(implies(X0,X1),X2),implies(X0,or(X1,X3)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f126906,f5707]) ).
fof(f131877,plain,
( ! [X2,X0,X1] : implies(X2,not(X0)) = implies(and(or(X1,X0),X0),not(X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f5623,f122506]) ).
fof(f132273,plain,
( ! [X2,X0,X1] : implies(X2,not(X0)) = implies(X0,implies(or(X1,X0),not(X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f131877,f123794]) ).
fof(f141423,plain,
( ! [X0,X1] : implies(or(X0,X1),not(not(X0))) = implies(X1,implies(or(X0,X1),not(not(X0))))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f120354,f4313]) ).
fof(f141713,plain,
( ! [X0,X1] : implies(or(X0,not(X1)),X0) = or(X1,implies(or(X0,not(X1)),X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f163,f120354]) ).
fof(f141746,plain,
( ! [X0,X1] : implies(implies(X1,X0),X0) = or(X1,implies(implies(X1,X0),X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f141713,f5035]) ).
fof(f141809,plain,
( ! [X0,X1] : implies(not(X0),not(X1)) = implies(or(X0,X1),not(not(X0)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f141423,f132273]) ).
fof(f141855,plain,
( ! [X0,X1] : implies(not(X0),not(X1)) = implies(or(X0,X1),X0)
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f141809,f4310]) ).
fof(f141884,plain,
( ! [X0,X1] : or(X0,not(X1)) = implies(or(X0,X1),X0)
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f141855,f163]) ).
fof(f141887,plain,
( ! [X0,X1] : implies(X1,X0) = implies(or(X0,X1),X0)
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f141884,f5035]) ).
fof(f141898,plain,
( ! [X0,X1] : implies(not(X0),X1) = implies(implies(X0,X1),X1)
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f141887,f5035]) ).
fof(f141913,plain,
( ! [X0,X1] : implies(X1,not(X0)) = implies(implies(X0,X1),not(X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f141887,f4797]) ).
fof(f142162,plain,
( ! [X0,X1] : implies(X0,X1) = implies(or(X0,X1),X1)
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f622,f141887]) ).
fof(f142264,plain,
( ! [X0,X1] : or(X0,X1) = implies(implies(X0,X1),X1)
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f141898,f163]) ).
fof(f142801,plain,
( ! [X0,X1] : or(X1,not(X0)) = implies(implies(X0,not(X1)),not(X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f142264,f4867]) ).
fof(f143175,plain,
( ! [X0,X1] : or(X0,not(X1)) = implies(X1,not(implies(X0,not(X1))))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f4867,f142264]) ).
fof(f143176,plain,
( ! [X2,X0,X1] : implies(X2,or(X0,not(X1))) = implies(and(X1,implies(X0,not(X1))),not(X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f5623,f142264]) ).
fof(f143193,plain,
( ! [X2,X0,X1] : implies(X2,or(X0,not(X1))) = implies(X2,implies(X1,and(X1,X0)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143176,f7055]) ).
fof(f143194,plain,
( ! [X0,X1] : or(X0,not(X1)) = implies(X1,and(not(not(X1)),X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143175,f4403]) ).
fof(f143331,plain,
( ! [X0,X1] : or(X1,not(X0)) = or(not(X0),and(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f142801,f4822]) ).
fof(f143392,plain,
( ! [X2,X0,X1] : implies(X2,implies(X1,X0)) = implies(X2,implies(X1,and(X1,X0)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143193,f5035]) ).
fof(f143393,plain,
( ! [X0,X1] : or(X0,not(X1)) = implies(X1,and(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143194,f4766]) ).
fof(f143449,plain,
( ! [X0,X1] : or(X1,not(X0)) = implies(X0,and(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143331,f4797]) ).
fof(f143496,plain,
( ! [X0,X1] : implies(X1,X0) = implies(X1,and(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143393,f5035]) ).
fof(f143509,plain,
( ! [X0,X1] : implies(X0,X1) = implies(X0,and(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143449,f5035]) ).
fof(f143551,plain,
( ! [X2,X0,X1] : implies(X2,and(X1,X0)) = implies(X2,and(X0,and(X1,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f143496,f1574]) ).
fof(f143791,plain,
( ! [X2,X0,X1] : strict_implies(and(X0,X1),X2) = strict_implies(implies(X0,X1),implies(and(X0,X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f121985,f143496]) ).
fof(f143824,plain,
( ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(and(X1,X0),and(and(X0,X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f1948,f143496]) ).
fof(f143853,plain,
( ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(X1,and(and(X0,X1),X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143824,f123794]) ).
fof(f143876,plain,
( ! [X2,X0,X1] : strict_implies(and(X0,X1),X2) = strict_implies(implies(X0,X1),implies(X1,implies(X0,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143791,f123794]) ).
fof(f143972,plain,
( ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(X1,and(X1,and(X0,X2))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143853,f1686]) ).
fof(f143985,plain,
( ! [X2,X0,X1] : strict_implies(and(X0,X1),X2) = strict_implies(X1,implies(X0,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143876,f121985]) ).
fof(f144037,plain,
( ! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(X1,and(X0,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f143972,f143392]) ).
fof(f144057,plain,
( ! [X2,X0,X1] : implies(X1,implies(X0,X2)) = implies(X0,implies(X1,and(X0,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f144037,f123794]) ).
fof(f144090,plain,
( ! [X2,X0,X1] : implies(and(X2,X1),X0) = implies(and(X2,X1),and(X0,and(X1,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f143509,f1773]) ).
fof(f144516,plain,
( ! [X2,X0,X1] : implies(and(X2,X1),X0) = implies(X1,implies(X2,and(X0,and(X1,X2))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f144090,f123794]) ).
fof(f144596,plain,
( ! [X2,X0,X1] : implies(and(X2,X1),X0) = implies(X1,implies(X2,and(X1,X0)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f144516,f143551]) ).
fof(f144628,plain,
( ! [X2,X0,X1] : implies(and(X2,X1),X0) = implies(X2,implies(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f144596,f144057]) ).
fof(f144642,plain,
( ! [X2,X0,X1] : implies(X2,implies(X1,X0)) = implies(X1,implies(X2,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f144628,f123794]) ).
fof(f144983,plain,
( ! [X2,X0,X1] : implies(X2,implies(X0,X1)) = implies(or(X1,X0),implies(X2,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f144642,f141887]) ).
fof(f145625,plain,
( ! [X2,X0,X1] : implies(X0,X2) = implies(X0,implies(implies(X1,X0),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f120347,f144642]) ).
fof(f145641,plain,
( ! [X2,X0,X1] : implies(X0,X2) = implies(X0,implies(or(X0,X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f120328,f144642]) ).
fof(f145642,plain,
( ! [X2,X0,X1] : implies(X0,X2) = implies(X0,implies(or(X1,X0),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f120329,f144642]) ).
fof(f146042,plain,
( ! [X2,X0,X1] : or(X1,implies(X0,X2)) = implies(X0,implies(not(X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f163,f144642]) ).
fof(f146102,plain,
( ! [X2,X0,X1] : implies(X0,or(X1,X2)) = or(X1,implies(X0,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f146042,f163]) ).
fof(f147232,plain,
( ! [X0,X1] : not(implies(X0,not(X1))) = and(not(not(X1)),implies(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f4776,f141913]) ).
fof(f147437,plain,
( ! [X0,X1] : not(implies(X0,not(X1))) = and(X1,implies(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f147232,f4766]) ).
fof(f147607,plain,
( ! [X0,X1] : and(not(not(X1)),X0) = and(X1,implies(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f147437,f4776]) ).
fof(f147672,plain,
( ! [X0,X1] : and(X1,X0) = and(X1,implies(X1,X0))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f147607,f4766]) ).
fof(f147926,plain,
( ! [X2,X0,X1] : is_a_theorem(strict_implies(not(implies(implies(X0,X1),X1)),implies(X0,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f3294,f141746]) ).
fof(f148118,plain,
( ! [X2,X0,X1] : is_a_theorem(strict_implies(and(not(X1),implies(X0,X1)),implies(X0,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f147926,f4776]) ).
fof(f148223,plain,
( ! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X0,X1),implies(not(X1),implies(X0,X2))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f148118,f143985]) ).
fof(f148305,plain,
( ! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X0,X1),or(X1,implies(X0,X2))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f148223,f163]) ).
fof(f148373,plain,
( ! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X0,X1),implies(X0,or(X1,X2))))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f148305,f146102]) ).
fof(f148478,plain,
( ! [X2,X3,X0,X1] : implies(X0,or(X1,X3)) = implies(implies(implies(X0,X1),X2),implies(X0,or(X1,X3)))
| ~ spl3_7
| ~ spl3_11 ),
inference(resolution,[],[f148373,f120349]) ).
fof(f148792,plain,
( ! [X3,X0,X1] : or(implies(X0,X1),X3) = implies(X0,or(X1,X3))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f148478,f126912]) ).
fof(f148947,plain,
( ! [X2,X0,X1] : or(implies(X0,not(X1)),X2) = implies(implies(X1,X0),or(not(X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f148792,f141913]) ).
fof(f149370,plain,
( ! [X2,X0,X1] : or(implies(X0,not(X1)),X2) = implies(implies(X1,X0),implies(X1,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f148947,f4797]) ).
fof(f149529,plain,
( ! [X2,X0,X1] : implies(and(X1,X0),X2) = implies(implies(X1,X0),implies(X1,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f149370,f5706]) ).
fof(f149619,plain,
( ! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(implies(X1,X0),implies(X1,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f149529,f123794]) ).
fof(f153890,plain,
( ! [X2,X0,X1] : implies(implies(X0,X1),implies(or(X1,X0),X2)) = implies(X1,implies(or(X1,X0),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f149619,f141887]) ).
fof(f154137,plain,
( ! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(implies(X1,X0),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f144642,f149619]) ).
fof(f154739,plain,
( ! [X2,X0,X1] : implies(X1,X2) = implies(implies(X0,X1),implies(or(X1,X0),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f153890,f145641]) ).
fof(f171354,plain,
( ! [X2,X0,X1] : or(X2,implies(X0,X1)) = implies(or(X0,X1),or(X2,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f146102,f142162]) ).
fof(f171781,plain,
( ! [X2,X0,X1] : implies(X0,or(X2,X1)) = implies(or(X0,X1),or(X2,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f171354,f146102]) ).
fof(f181163,plain,
( ! [X2,X0,X1] : implies(X1,implies(implies(X0,X1),X2)) = implies(X1,and(implies(X0,X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f145625,f143496]) ).
fof(f181718,plain,
( ! [X2,X0,X1] : implies(X1,X2) = implies(X1,and(implies(X0,X1),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f181163,f145625]) ).
fof(f193162,plain,
( ! [X0,X1] : and(or(X1,X0),X1) = and(or(X1,X0),implies(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f147672,f141887]) ).
fof(f193429,plain,
( ! [X0,X1] : and(or(X1,X0),implies(X0,X1)) = X1
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f193162,f123003]) ).
fof(f300138,plain,
( ! [X2,X0,X1] : implies(X0,and(implies(X1,X0),X2)) = implies(or(X0,X1),implies(implies(X1,X0),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f144057,f154739]) ).
fof(f300648,plain,
( ! [X2,X0,X1] : implies(X0,X2) = implies(or(X0,X1),implies(implies(X1,X0),X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f300138,f181718]) ).
fof(f336716,plain,
( ! [X2,X0,X1] : and(or(X2,X1),implies(X0,implies(X1,X2))) = and(or(X2,X1),implies(X0,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f147672,f144983]) ).
fof(f723157,plain,
( ! [X2,X3,X0,X1] : implies(implies(or(X2,X0),X1),X3) = implies(or(implies(or(X2,X0),X1),X0),implies(implies(X0,X1),X3))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f300648,f145642]) ).
fof(f724695,plain,
( ! [X2,X3,X0,X1] : implies(implies(or(X2,X0),X1),X3) = implies(implies(or(X2,X0),or(X1,X0)),implies(implies(X0,X1),X3))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f723157,f148792]) ).
fof(f725162,plain,
( ! [X2,X3,X0,X1] : implies(implies(or(X2,X0),X1),X3) = implies(implies(X2,or(X1,X0)),implies(implies(X0,X1),X3))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f724695,f171781]) ).
fof(f807629,plain,
( ! [X2,X0,X1] : implies(implies(X1,X0),X2) = and(or(implies(implies(X1,X0),X2),X1),implies(X0,implies(X1,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f193429,f154137]) ).
fof(f807860,plain,
( ! [X2,X0,X1] : implies(implies(X1,X0),X2) = and(implies(implies(X1,X0),or(X2,X1)),implies(X0,implies(X1,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f807629,f148792]) ).
fof(f808694,plain,
( ! [X2,X0,X1] : implies(implies(X1,X0),X2) = and(or(X2,X1),implies(X0,implies(X1,X2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f807860,f120342]) ).
fof(f809133,plain,
( ! [X2,X0,X1] : implies(implies(X1,X0),X2) = and(or(X2,X1),implies(X0,X2))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f808694,f336716]) ).
fof(f809530,plain,
( ! [X2,X0,X1] : implies(implies(implies(X0,X1),X2),X1) = and(implies(X0,X1),implies(X2,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f809133,f7663]) ).
fof(f809537,plain,
( ! [X2,X3,X0,X1] : implies(implies(implies(X0,X2),X3),X1) = and(implies(X0,or(X1,X2)),implies(X3,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f809133,f146102]) ).
fof(f809833,plain,
( ! [X2,X3,X0,X1] : implies(implies(X2,or(X0,X3)),implies(implies(X3,X0),X1)) = and(or(implies(implies(X3,X0),X1),X2),implies(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f809133,f300648]) ).
fof(f810227,plain,
( ! [X2,X3,X0,X1] : implies(implies(X2,or(X0,X3)),implies(implies(X3,X0),X1)) = and(implies(implies(X3,X0),or(X1,X2)),implies(X0,X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f809833,f148792]) ).
fof(f810608,plain,
( ! [X2,X3,X0,X1] : implies(implies(X2,or(X0,X3)),implies(implies(X3,X0),X1)) = implies(implies(implies(implies(X3,X0),X2),X0),X1)
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f810227,f809537]) ).
fof(f810860,plain,
( ! [X2,X3,X0,X1] : implies(implies(X2,or(X0,X3)),implies(implies(X3,X0),X1)) = implies(and(implies(X3,X0),implies(X2,X0)),X1)
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f810608,f809530]) ).
fof(f810987,plain,
( ! [X2,X3,X0,X1] : implies(implies(X2,X0),implies(implies(X3,X0),X1)) = implies(implies(X2,or(X0,X3)),implies(implies(X3,X0),X1))
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f810860,f123794]) ).
fof(f811036,plain,
( ! [X2,X3,X0,X1] : implies(implies(X2,X0),implies(implies(X3,X0),X1)) = implies(implies(or(X2,X3),X0),X1)
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f810987,f725162]) ).
fof(f818356,plain,
( ~ is_a_theorem(implies(implies(or(sK0,sK1),sK2),implies(or(sK0,sK1),sK2)))
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f161,f811036]) ).
fof(f819840,plain,
( $false
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_subsumption_resolution,[],[f818356,f8142]) ).
fof(f819841,plain,
( ~ spl3_7
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f819840]) ).
cnf(s24,plain,
~ spl3_3,
inference(sat_conversion,[],[f8116]) ).
cnf(s25,plain,
( spl3_3
| spl3_7 ),
inference(sat_conversion,[],[f8143]) ).
cnf(s30,plain,
( spl3_10
| spl3_11 ),
inference(sat_conversion,[],[f8245]) ).
cnf(s31,plain,
~ spl3_10,
inference(sat_conversion,[],[f8424]) ).
cnf(s326,plain,
( ~ spl3_7
| ~ spl3_11 ),
inference(sat_conversion,[],[f819841]) ).
cnf(s369,plain,
spl3_11,
inference(rat,[],[s30,s31]) ).
cnf(s370,plain,
~ spl3_7,
inference(rat,[],[s326,s369]) ).
cnf(s382,plain,
spl3_3,
inference(rat,[],[s25,s370]) ).
cnf(s383,plain,
$false,
inference(rat,[],[s24,s382]) ).
fof(f823496,plain,
$false,
inference(avatar_sat_refutation,[],[s383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL560+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:57:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.74/2.25 % (2764931)Detected formulas, will run a generic FOF schedule.
% 9.74/2.25 % (2764941)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3856698982:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.74/2.25 % (2764936)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=2891534868:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.74/2.25 % (2764940)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3464707773:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.74/2.25 % (2764939)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1381225857:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.74/2.25 % (2764937)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=2828317989:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.74/2.25 % (2764938)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=1633660371:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.74/2.25 % (2764940)Refutation not found, incomplete strategy
% 9.74/2.25 % (2764940)------------------------------
% 9.74/2.25 % (2764940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.25 % (2764940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.25 % (2764940)CaDiCaL version: 2.1.3
% 9.74/2.25 % (2764939)Refutation not found, incomplete strategy
% 9.74/2.25 % (2764939)------------------------------
% 9.74/2.25 % (2764939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.25 % (2764940)Termination reason: Refutation not found, incomplete strategy
% 9.74/2.25 % (2764940)Time elapsed: 0.001 s
% 9.74/2.25 % (2764940)Peak memory usage: 86 MB
% 9.74/2.25 % (2764939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.25 % (2764939)CaDiCaL version: 2.1.3
% 9.74/2.25 % (2764939)Termination reason: Refutation not found, incomplete strategy
% 9.74/2.25 % (2764939)Time elapsed: 0.001 s
% 9.74/2.25 % (2764939)Peak memory usage: 87 MB
% 9.74/2.25 % (2764941)Instruction limit reached!
% 9.74/2.25 % (2764941)------------------------------
% 9.74/2.25 % (2764941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.25 % (2764941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.25 % (2764941)CaDiCaL version: 2.1.3
% 9.74/2.25 % (2764941)Termination reason: Instruction limit
% 9.74/2.25 % (2764941)Termination phase: Saturation
% 9.74/2.25 % (2764941)Time elapsed: 0.050 s
% 9.74/2.25 % (2764941)Peak memory usage: 90 MB
% 9.74/2.25 % (2764941)Instructions burned: 139 (million)
% 9.74/2.25 % (2764942)dis-21_1_sil=8000:lcm=predicate:random_seed=2279047632: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)
% 9.74/2.25 % (2764942)Refutation not found, incomplete strategy
% 9.74/2.25 % (2764942)------------------------------
% 9.74/2.25 % (2764942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.25 % (2764942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.25 % (2764942)CaDiCaL version: 2.1.3
% 9.74/2.25 % (2764942)Termination reason: Refutation not found, incomplete strategy
% 9.74/2.25 % (2764942)Time elapsed: 0.002 s
% 9.74/2.25 % (2764942)Peak memory usage: 88 MB
% 9.74/2.25 % (2764942)Instructions burned: 1 (million)
% 9.74/2.25 % (2764949)lrs+10_1_sil=8000:sp=occurrence:random_seed=4123897445:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.74/2.25 % (2764949)Refutation not found, incomplete strategy
% 9.74/2.25 % (2764949)------------------------------
% 9.74/2.25 % (2764949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.25 % (2764949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.25 % (2764949)CaDiCaL version: 2.1.3
% 9.74/2.25 % (2764949)Termination reason: Refutation not found, incomplete strategy
% 9.74/2.25 % (2764949)Time elapsed: 0.0000 s
% 9.74/2.25 % (2764949)Peak memory usage: 87 MB
% 9.74/2.25 % (2764940)------------------------------
% 9.74/2.25 % (2764940)------------------------------
% 9.74/2.25 % (2764939)------------------------------
% 9.74/2.25 % (2764939)------------------------------
% 12.77/2.73 % (2764942)------------------------------
% 12.77/2.73 % (2764942)------------------------------
% 12.77/2.73 % (2764949)------------------------------
% 12.77/2.73 % (2764949)------------------------------
% 12.77/2.73 % (2764952)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3383599593:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 12.77/2.73 % (2764953)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3078335836:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.77/2.73 % (2764953)Refutation not found, incomplete strategy
% 12.77/2.73 % (2764953)------------------------------
% 12.77/2.73 % (2764953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/2.73 % (2764953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/2.73 % (2764953)CaDiCaL version: 2.1.3
% 12.77/2.73 % (2764953)Termination reason: Refutation not found, incomplete strategy
% 12.77/2.73 % (2764953)Time elapsed: 0.001 s
% 12.77/2.73 % (2764952)Refutation not found, incomplete strategy
% 12.77/2.73 % (2764952)------------------------------
% 12.77/2.73 % (2764952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/2.73 % (2764953)Peak memory usage: 87 MB
% 12.77/2.73 % (2764952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/2.73 % (2764952)CaDiCaL version: 2.1.3
% 12.77/2.73 % (2764952)Termination reason: Refutation not found, incomplete strategy
% 12.77/2.73 % (2764952)Time elapsed: 0.001 s
% 12.77/2.73 % (2764952)Peak memory usage: 87 MB
% 12.77/2.73 % (2764955)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=448689502:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.77/2.73 % (2764955)Refutation not found, incomplete strategy
% 12.77/2.73 % (2764955)------------------------------
% 12.77/2.73 % (2764955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/2.73 % (2764955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/2.73 % (2764955)CaDiCaL version: 2.1.3
% 12.77/2.73 % (2764955)Termination reason: Refutation not found, incomplete strategy
% 12.77/2.73 % (2764955)Time elapsed: 0.0000 s
% 12.77/2.73 % (2764955)Peak memory usage: 87 MB
% 12.77/2.73 % (2764954)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=3198390872:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.77/2.73 % (2764955)------------------------------
% 12.77/2.73 % (2764955)------------------------------
% 12.77/2.73 % (2764954)Instruction limit reached!
% 12.77/2.73 % (2764954)------------------------------
% 12.77/2.73 % (2764954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/2.73 % (2764954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/2.73 % (2764954)CaDiCaL version: 2.1.3
% 12.77/2.73 % (2764954)Termination reason: Instruction limit
% 12.77/2.73 % (2764954)Termination phase: Saturation
% 12.77/2.73 % (2764954)Time elapsed: 0.145 s
% 12.77/2.73 % (2764954)Peak memory usage: 92 MB
% 12.77/2.73 % (2764954)Instructions burned: 248 (million)
% 12.77/2.73 % (2764938)Refutation not found, incomplete strategy
% 12.77/2.73 % (2764938)------------------------------
% 12.77/2.73 % (2764938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/2.73 % (2764938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/2.73 % (2764938)CaDiCaL version: 2.1.3
% 12.77/2.73 % (2764938)Termination reason: Refutation not found, incomplete strategy
% 12.77/2.73 % (2764938)Time elapsed: 0.567 s
% 12.77/2.73 % (2764938)Peak memory usage: 125 MB
% 12.77/2.73 % (2764938)Instructions burned: 831 (million)
% 12.77/2.73 % (2764952)------------------------------
% 12.77/2.73 % (2764952)------------------------------
% 12.77/2.73 % (2764953)------------------------------
% 12.77/2.73 % (2764953)------------------------------
% 12.77/2.73 % (2764961)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1080482833:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.77/2.73 % (2764961)Refutation not found, incomplete strategy
% 12.77/2.73 % (2764961)------------------------------
% 12.77/2.73 % (2764961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/2.73 % (2764961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/2.73 % (2764961)CaDiCaL version: 2.1.3
% 12.77/2.73 % (2764961)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2764961)Time elapsed: 0.001 s
% 16.37/3.14 % (2764961)Peak memory usage: 88 MB
% 16.37/3.14 % (2764960)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3232569014:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 16.37/3.14 % (2764938)------------------------------
% 16.37/3.14 % (2764938)------------------------------
% 16.37/3.14 % (2764962)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2542917651:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 16.37/3.14 % (2764963)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1113753541:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 16.37/3.14 % (2764961)------------------------------
% 16.37/3.14 % (2764961)------------------------------
% 16.37/3.14 % (2764963)Refutation not found, incomplete strategy
% 16.37/3.14 % (2764963)------------------------------
% 16.37/3.14 % (2764963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2764963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2764963)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2764963)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2764963)Time elapsed: 0.001 s
% 16.37/3.14 % (2764963)Peak memory usage: 87 MB
% 16.37/3.14 % (2764962)Instruction limit reached!
% 16.37/3.14 % (2764962)------------------------------
% 16.37/3.14 % (2764962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2764962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2764962)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2764962)Termination reason: Instruction limit
% 16.37/3.14 % (2764962)Termination phase: Saturation
% 16.37/3.14 % (2764962)Time elapsed: 0.066 s
% 16.37/3.14 % (2764962)Peak memory usage: 88 MB
% 16.37/3.14 % (2764962)Instructions burned: 128 (million)
% 16.37/3.14 % (2764969)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1198481798:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 16.37/3.14 % (2764969)Refutation not found, incomplete strategy
% 16.37/3.14 % (2764969)------------------------------
% 16.37/3.14 % (2764969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2764969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2764969)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2764969)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2764969)Time elapsed: 0.001 s
% 16.37/3.14 % (2764969)Peak memory usage: 88 MB
% 16.37/3.14 % (2764968)lrs+10_1_sil=8000:sp=occurrence:random_seed=2742863693:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 16.37/3.14 % (2764970)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=520778309:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 16.37/3.14 % (2764963)------------------------------
% 16.37/3.14 % (2764963)------------------------------
% 16.37/3.14 % (2764969)------------------------------
% 16.37/3.14 % (2764969)------------------------------
% 16.37/3.14 % (2764975)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=384031196:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 16.37/3.14 % (2764975)Refutation not found, incomplete strategy
% 16.37/3.14 % (2764975)------------------------------
% 16.37/3.14 % (2764975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2764975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2764975)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2764975)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2764975)Time elapsed: 0.001 s
% 16.37/3.14 % (2764975)Peak memory usage: 88 MB
% 16.37/3.14 % (2764974)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3372124204:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 16.37/3.14 % (2764974)Refutation not found, incomplete strategy
% 16.37/3.14 % (2764974)------------------------------
% 16.37/3.14 % (2764974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2764974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2764974)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2764974)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2764974)Time elapsed: 0.001 s
% 16.37/3.14 % (2764974)Peak memory usage: 89 MB
% 22.84/4.06 % (2764975)------------------------------
% 22.84/4.06 % (2764975)------------------------------
% 22.84/4.06 % (2764974)------------------------------
% 22.84/4.06 % (2764974)------------------------------
% 22.84/4.06 % (2764968)Instruction limit reached!
% 22.84/4.06 % (2764968)------------------------------
% 22.84/4.06 % (2764968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.84/4.06 % (2764968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/4.06 % (2764968)CaDiCaL version: 2.1.3
% 22.84/4.06 % (2764968)Termination reason: Instruction limit
% 22.84/4.06 % (2764968)Termination phase: Saturation
% 22.84/4.06 % (2764968)Time elapsed: 0.508 s
% 22.84/4.06 % (2764968)Peak memory usage: 100 MB
% 22.84/4.06 % (2764968)Instructions burned: 908 (million)
% 22.84/4.06 % (2764978)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1550752389:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 22.84/4.06 % (2764979)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=1070279314:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 22.84/4.06 % (2764979)Refutation not found, incomplete strategy
% 22.84/4.06 % (2764979)------------------------------
% 22.84/4.06 % (2764979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.84/4.06 % (2764979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.84/4.06 % (2764979)CaDiCaL version: 2.1.3
% 22.84/4.06 % (2764979)Termination reason: Refutation not found, incomplete strategy
% 22.84/4.06 % (2764979)Time elapsed: 0.001 s
% 22.84/4.06 % (2764979)Peak memory usage: 87 MB
% 22.84/4.06 % (2764979)Instructions burned: 1 (million)
% 22.84/4.06 % (2764981)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=224501110:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 22.84/4.06 [W927 15:57:10.328835201 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.84/4.06 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.84/4.06 [W927 15:57:10.328876120 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.84/4.06 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.84/4.06 [W927 15:57:10.328897931 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.84/4.06 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.84/4.06 [W927 15:57:10.328904170 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.84/4.06 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.84/4.06 [W927 15:57:10.328918090 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.84/4.06 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.84/4.06 [W927 15:57:10.328923686 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.84/4.06 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.84/4.06 [W927 15:57:10.328937477 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 22.84/4.06 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 22.84/4.06 [W927 15:57:10.328944085 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.
% 40.32/6.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.32/6.54 [W927 15:57:10.328956995 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.
% 40.32/6.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.32/6.54 [W927 15:57:10.328962613 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.
% 40.32/6.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.32/6.54 [W927 15:57:10.328975498 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.
% 40.32/6.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.32/6.54 [W927 15:57:10.328981168 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.
% 40.32/6.54 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.32/6.54 % (2764981)Instruction limit reached!
% 40.32/6.54 % (2764981)------------------------------
% 40.32/6.54 % (2764981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.54 % (2764981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.54 % (2764981)CaDiCaL version: 2.1.3
% 40.32/6.54 % (2764981)Termination reason: Instruction limit
% 40.32/6.54 % (2764981)Termination phase: Saturation
% 40.32/6.54 % (2764981)Time elapsed: 0.088 s
% 40.32/6.54 % (2764981)Peak memory usage: 89 MB
% 40.32/6.54 % (2764981)Instructions burned: 135 (million)
% 40.32/6.54 % (2764978)Refutation not found, incomplete strategy
% 40.32/6.54 % (2764978)------------------------------
% 40.32/6.54 % (2764978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.54 % (2764978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.54 % (2764978)CaDiCaL version: 2.1.3
% 40.32/6.54 % (2764978)Termination reason: Refutation not found, incomplete strategy
% 40.32/6.54 % (2764978)Time elapsed: 0.319 s
% 40.32/6.54 % (2764978)Peak memory usage: 125 MB
% 40.32/6.54 % (2764978)Instructions burned: 827 (million)
% 40.32/6.54 % (2764979)------------------------------
% 40.32/6.54 % (2764979)------------------------------
% 40.32/6.54 % (2764984)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=601869116:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 40.32/6.54 % (2764984)Refutation not found, incomplete strategy
% 40.32/6.54 % (2764984)------------------------------
% 40.32/6.54 % (2764984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.54 % (2764984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.54 % (2764984)CaDiCaL version: 2.1.3
% 40.32/6.54 % (2764984)Termination reason: Refutation not found, incomplete strategy
% 40.32/6.54 % (2764984)Time elapsed: 0.001 s
% 40.32/6.54 % (2764984)Peak memory usage: 87 MB
% 40.32/6.54 % (2764978)------------------------------
% 40.32/6.54 % (2764978)------------------------------
% 40.32/6.54 % (2764985)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=841909708:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 40.32/6.54 % (2764985)Refutation not found, incomplete strategy
% 40.32/6.54 % (2764985)------------------------------
% 40.32/6.54 % (2764985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.54 % (2764985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.54 % (2764985)CaDiCaL version: 2.1.3
% 40.32/6.54 % (2764985)Termination reason: Refutation not found, incomplete strategy
% 40.32/6.54 % (2764985)Time elapsed: 0.001 s
% 40.32/6.54 % (2764985)Peak memory usage: 87 MB
% 40.32/6.54 % (2764987)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=2555212497:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 41.76/6.71 % (2764984)------------------------------
% 41.76/6.71 % (2764984)------------------------------
% 41.76/6.71 % (2764960)Instruction limit reached!
% 41.76/6.71 % (2764960)------------------------------
% 41.76/6.71 % (2764960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.76/6.71 % (2764960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.76/6.71 % (2764960)CaDiCaL version: 2.1.3
% 41.76/6.71 % (2764960)Termination reason: Instruction limit
% 41.76/6.71 % (2764960)Termination phase: Saturation
% 41.76/6.71 % (2764960)Time elapsed: 1.538 s
% 41.76/6.71 % (2764960)Peak memory usage: 141 MB
% 41.76/6.71 % (2764960)Instructions burned: 2350 (million)
% 41.76/6.71 % (2764985)------------------------------
% 41.76/6.71 % (2764985)------------------------------
% 41.76/6.71 % (2764990)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=2794939757:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 41.76/6.71 % (2764990)Instruction limit reached!
% 41.76/6.71 % (2764990)------------------------------
% 41.76/6.71 % (2764990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.76/6.71 % (2764990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.76/6.71 % (2764990)CaDiCaL version: 2.1.3
% 41.76/6.71 % (2764990)Termination reason: Instruction limit
% 41.76/6.71 % (2764990)Termination phase: Saturation
% 41.76/6.71 % (2764990)Time elapsed: 0.091 s
% 41.76/6.71 % (2764990)Peak memory usage: 90 MB
% 41.76/6.71 % (2764990)Instructions burned: 150 (million)
% 41.76/6.71 % (2764991)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=913933955:i=14155:bd=all_2975 on theBenchmark for (2975ds/14155Mi)
% 41.76/6.71 % (2764992)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1830069906:i=667:av=off:fsr=off_2975 on theBenchmark for (2975ds/667Mi)
% 41.76/6.71 % (2764992)Refutation not found, incomplete strategy
% 41.76/6.71 % (2764992)------------------------------
% 41.76/6.71 % (2764992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.76/6.71 % (2764992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.76/6.71 % (2764992)CaDiCaL version: 2.1.3
% 41.76/6.71 % (2764992)Termination reason: Refutation not found, incomplete strategy
% 41.76/6.71 % (2764992)Time elapsed: 0.002 s
% 41.76/6.71 % (2764992)Peak memory usage: 88 MB
% 41.76/6.71 % (2764992)Instructions burned: 1 (million)
% 41.76/6.71 % (2764994)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=4224798263:s2a=on:i=185:s2at=1.8:fdi=4_2974 on theBenchmark for (2974ds/185Mi)
% 41.76/6.71 % (2764994)Instruction limit reached!
% 41.76/6.71 % (2764994)------------------------------
% 41.76/6.71 % (2764994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.76/6.71 % (2764994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.76/6.71 % (2764994)CaDiCaL version: 2.1.3
% 41.76/6.71 % (2764994)Termination reason: Instruction limit
% 41.76/6.71 % (2764994)Termination phase: Saturation
% 41.76/6.71 % (2764994)Time elapsed: 0.101 s
% 41.76/6.71 % (2764994)Peak memory usage: 90 MB
% 41.76/6.71 % (2764994)Instructions burned: 185 (million)
% 41.76/6.71 % (2764992)------------------------------
% 41.76/6.71 % (2764992)------------------------------
% 41.76/6.71 % (2764998)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3976258610:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2971 on theBenchmark for (2971ds/193Mi)
% 41.76/6.71 % (2764998)Refutation not found, incomplete strategy
% 41.76/6.71 % (2764998)------------------------------
% 41.76/6.71 % (2764998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.76/6.71 % (2764998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.76/6.71 % (2764998)CaDiCaL version: 2.1.3
% 41.76/6.71 % (2764998)Termination reason: Refutation not found, incomplete strategy
% 41.76/6.71 % (2764998)Time elapsed: 0.001 s
% 41.76/6.71 % (2764998)Peak memory usage: 87 MB
% 41.76/6.71 % (2764999)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2176158515:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2971 on theBenchmark for (2971ds/4850Mi)
% 41.76/6.71 % (2764998)------------------------------
% 48.59/7.82 % (2764998)------------------------------
% 48.59/7.82 % (2765002)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2344791476:i=12111:sd=1:ss=included_2967 on theBenchmark for (2967ds/12111Mi)
% 48.59/7.82 % (2764970)Instruction limit reached!
% 48.59/7.82 % (2764970)------------------------------
% 48.59/7.82 % (2764970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.59/7.82 % (2764970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.59/7.82 % (2764970)CaDiCaL version: 2.1.3
% 48.59/7.82 % (2764970)Termination reason: Instruction limit
% 48.59/7.82 % (2764970)Termination phase: Saturation
% 48.59/7.82 % (2764970)Time elapsed: 3.129 s
% 48.59/7.82 % (2764970)Peak memory usage: 167 MB
% 48.59/7.82 % (2764970)Instructions burned: 5203 (million)
% 48.59/7.82 % (2764987)Instruction limit reached!
% 48.59/7.82 % (2764987)------------------------------
% 48.59/7.82 % (2764987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.59/7.82 % (2764987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.59/7.82 % (2764987)CaDiCaL version: 2.1.3
% 48.59/7.82 % (2764987)Termination reason: Instruction limit
% 48.59/7.82 % (2764987)Termination phase: Saturation
% 48.59/7.82 % (2764987)Time elapsed: 2.099 s
% 48.59/7.82 % (2764987)Peak memory usage: 159 MB
% 48.59/7.82 % (2764987)Instructions burned: 6063 (million)
% 48.59/7.82 % (2765005)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3504366623:i=2064:ep=RST_2956 on theBenchmark for (2956ds/2064Mi)
% 48.59/7.82 % (2765005)Refutation not found, incomplete strategy
% 48.59/7.82 % (2765005)------------------------------
% 48.59/7.82 % (2765005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.59/7.82 % (2765005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.59/7.82 % (2765005)CaDiCaL version: 2.1.3
% 48.59/7.82 % (2765005)Termination reason: Refutation not found, incomplete strategy
% 48.59/7.82 % (2765005)Time elapsed: 0.001 s
% 48.59/7.82 % (2765005)Peak memory usage: 88 MB
% 48.59/7.82 % (2765005)Instructions burned: 1 (million)
% 48.59/7.82 % (2765004)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2393093330:i=319:kws=precedence:fsr=off_2956 on theBenchmark for (2956ds/319Mi)
% 48.59/7.82 % (2765005)------------------------------
% 48.59/7.82 % (2765005)------------------------------
% 48.59/7.82 % (2765004)Instruction limit reached!
% 48.59/7.82 % (2765004)------------------------------
% 48.59/7.82 % (2765004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.59/7.82 % (2765004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.59/7.82 % (2765004)CaDiCaL version: 2.1.3
% 48.59/7.82 % (2765004)Termination reason: Instruction limit
% 48.59/7.82 % (2765004)Termination phase: Saturation
% 48.59/7.82 % (2765004)Time elapsed: 0.202 s
% 48.59/7.82 % (2765004)Peak memory usage: 93 MB
% 48.59/7.82 % (2765004)Instructions burned: 319 (million)
% 48.59/7.82 % (2765008)dis-1011_128_sil=32000:random_seed=2294281456:i=3706:ep=RST:av=off_2953 on theBenchmark for (2953ds/3706Mi)
% 48.59/7.82 % (2765009)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1437149133:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2952 on theBenchmark for (2952ds/757Mi)
% 48.59/7.82 % (2765009)Refutation not found, incomplete strategy
% 48.59/7.82 % (2765009)------------------------------
% 48.59/7.82 % (2765009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.59/7.82 % (2765009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.59/7.82 % (2765009)CaDiCaL version: 2.1.3
% 48.59/7.82 % (2765009)Termination reason: Refutation not found, incomplete strategy
% 48.59/7.82 % (2765009)Time elapsed: 0.001 s
% 48.59/7.82 % (2765009)Peak memory usage: 87 MB
% 48.59/7.82 % (2765009)------------------------------
% 48.59/7.82 % (2765009)------------------------------
% 48.59/7.82 % (2765012)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3900047548:i=13913:ss=axioms:sgt=8_2948 on theBenchmark for (2948ds/13913Mi)
% 48.59/7.82 [W927 15:57:14.138070069 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.
% 48.59/7.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.59/7.82 [W927 15:57:14.138105292 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138144773 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138156729 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138196503 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138207413 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138232903 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138243000 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138266960 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138277150 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138302130 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 [W927 15:57:14.138312360 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.
% 56.47/8.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 56.47/8.80 % (2765008)Instruction limit reached!
% 56.47/8.80 % (2765008)------------------------------
% 56.47/8.80 % (2765008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.47/8.80 % (2765008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.47/8.80 % (2765008)CaDiCaL version: 2.1.3
% 56.47/8.80 % (2765008)Termination reason: Instruction limit
% 56.47/8.80 % (2765008)Termination phase: Saturation
% 56.47/8.80 % (2765008)Time elapsed: 1.028 s
% 56.47/8.80 % (2765008)Peak memory usage: 118 MB
% 56.47/8.80 % (2765008)Instructions burned: 3709 (million)
% 56.47/8.80 % (2765012)Refutation not found, incomplete strategy
% 56.47/8.80 % (2765012)------------------------------
% 56.47/8.80 % (2765012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.58/12.04 % (2765012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.58/12.04 % (2765012)CaDiCaL version: 2.1.3
% 79.58/12.04 % (2765012)Termination reason: Refutation not found, incomplete strategy
% 79.58/12.04 % (2765012)Time elapsed: 0.555 s
% 79.58/12.04 % (2765012)Peak memory usage: 125 MB
% 79.58/12.04 % (2765012)Instructions burned: 826 (million)
% 79.58/12.04 % (2765014)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=153086186:i=9925:aac=none_2941 on theBenchmark for (2941ds/9925Mi)
% 79.58/12.04 % (2764999)Instruction limit reached!
% 79.58/12.04 % (2764999)------------------------------
% 79.58/12.04 % (2764999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.58/12.04 % (2764999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.58/12.04 % (2764999)CaDiCaL version: 2.1.3
% 79.58/12.04 % (2764999)Termination reason: Instruction limit
% 79.58/12.04 % (2764999)Termination phase: Saturation
% 79.58/12.04 % (2764999)Time elapsed: 3.003 s
% 79.58/12.04 % (2764999)Peak memory usage: 151 MB
% 79.58/12.04 % (2764999)Instructions burned: 4850 (million)
% 79.58/12.04 % (2765012)------------------------------
% 79.58/12.04 % (2765012)------------------------------
% 79.58/12.04 % (2765016)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2190743851:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2939 on theBenchmark for (2939ds/2479Mi)
% 79.58/12.04 % (2765016)Refutation not found, incomplete strategy
% 79.58/12.04 % (2765016)------------------------------
% 79.58/12.04 % (2765016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.58/12.04 % (2765016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.58/12.04 % (2765016)CaDiCaL version: 2.1.3
% 79.58/12.04 % (2765016)Termination reason: Refutation not found, incomplete strategy
% 79.58/12.04 % (2765016)Time elapsed: 0.001 s
% 79.58/12.04 % (2765016)Peak memory usage: 87 MB
% 79.58/12.04 % (2765017)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=4111468955:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2938 on theBenchmark for (2938ds/440Mi)
% 79.58/12.04 % (2765016)------------------------------
% 79.58/12.04 % (2765016)------------------------------
% 79.58/12.04 % (2765017)Instruction limit reached!
% 79.58/12.04 % (2765017)------------------------------
% 79.58/12.04 % (2765017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.58/12.04 % (2765017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.58/12.04 % (2765017)CaDiCaL version: 2.1.3
% 79.58/12.04 % (2765017)Termination reason: Instruction limit
% 79.58/12.04 % (2765017)Termination phase: Saturation
% 79.58/12.04 % (2765017)Time elapsed: 0.202 s
% 79.58/12.04 % (2765017)Peak memory usage: 92 MB
% 79.58/12.04 % (2765017)Instructions burned: 441 (million)
% 79.58/12.04 % (2765020)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2270204328:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2935 on theBenchmark for (2935ds/11145Mi)
% 79.58/12.04 % (2765021)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1067102738:cts=off:i=3034:av=off:er=known:fsd=on_2935 on theBenchmark for (2935ds/3034Mi)
% 79.58/12.04 [W927 15:57:15.415891066 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.
% 79.58/12.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.58/12.04 [W927 15:57:15.415933356 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.
% 79.58/12.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.58/12.04 [W927 15:57:15.415972467 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.
% 79.58/12.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 79.58/12.04 [W927 15:57:15.415984537 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.
% 81.21/12.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.21/12.37 [W927 15:57:15.416035107 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.
% 81.21/12.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.21/12.37 [W927 15:57:15.416046497 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.
% 81.21/12.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.21/12.37 [W927 15:57:15.416072494 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.
% 81.21/12.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.21/12.37 [W927 15:57:15.416082737 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.
% 81.21/12.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.21/12.37 [W927 15:57:15.416106574 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.
% 81.21/12.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.21/12.37 [W927 15:57:15.416122344 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.
% 81.21/12.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.21/12.37 [W927 15:57:15.416146375 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.
% 81.21/12.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.21/12.37 [W927 15:57:15.416156538 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.
% 81.21/12.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 81.21/12.37 % (2765020)Refutation not found, incomplete strategy
% 81.21/12.37 % (2765020)------------------------------
% 81.21/12.37 % (2765020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.21/12.37 % (2765020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.21/12.37 % (2765020)CaDiCaL version: 2.1.3
% 81.21/12.37 % (2765020)Termination reason: Refutation not found, incomplete strategy
% 81.21/12.37 % (2765020)Time elapsed: 0.540 s
% 81.21/12.37 % (2765020)Peak memory usage: 126 MB
% 81.21/12.37 % (2765020)Instructions burned: 826 (million)
% 81.21/12.37 % (2765020)------------------------------
% 81.21/12.37 % (2765020)------------------------------
% 81.21/12.37 % (2765024)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=112414499:st=2:s2a=on:i=524:s2at=2:ss=axioms_2926 on theBenchmark for (2926ds/524Mi)
% 81.21/12.37 % (2765024)Refutation not found, incomplete strategy
% 81.21/12.37 % (2765024)------------------------------
% 81.21/12.37 % (2765024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.21/12.37 % (2765024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.21/12.37 % (2765024)CaDiCaL version: 2.1.3
% 81.21/12.37 % (2765024)Termination reason: Refutation not found, incomplete strategy
% 81.21/12.37 % (2765024)Time elapsed: 0.001 s
% 81.21/12.37 % (2765024)Peak memory usage: 87 MB
% 81.21/12.37 % (2765024)------------------------------
% 81.21/12.37 % (2765024)------------------------------
% 81.21/12.37 % (2765026)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3551208803:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2922 on theBenchmark for (2922ds/1016Mi)
% 84.36/12.88 % (2765026)Refutation not found, incomplete strategy
% 84.36/12.88 % (2765026)------------------------------
% 84.36/12.88 % (2765026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.36/12.88 % (2765026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.36/12.88 % (2765026)CaDiCaL version: 2.1.3
% 84.36/12.88 % (2765026)Termination reason: Refutation not found, incomplete strategy
% 84.36/12.88 % (2765026)Time elapsed: 0.001 s
% 84.36/12.88 % (2765026)Peak memory usage: 87 MB
% 84.36/12.88 % (2765026)------------------------------
% 84.36/12.88 % (2765026)------------------------------
% 84.36/12.88 % (2765028)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3907926655:i=14123:bd=preordered:ins=4_2918 on theBenchmark for (2918ds/14123Mi)
% 84.36/12.88 % (2765021)Instruction limit reached!
% 84.36/12.88 % (2765021)------------------------------
% 84.36/12.88 % (2765021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.36/12.88 % (2765021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.36/12.88 % (2765021)CaDiCaL version: 2.1.3
% 84.36/12.88 % (2765021)Termination reason: Instruction limit
% 84.36/12.88 % (2765021)Termination phase: Saturation
% 84.36/12.88 % (2765021)Time elapsed: 1.795 s
% 84.36/12.88 % (2765021)Peak memory usage: 142 MB
% 84.36/12.88 % (2765021)Instructions burned: 3035 (million)
% 84.36/12.88 % (2765030)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1251836009:i=5781:kws=precedence:bd=all:rawr=on_2915 on theBenchmark for (2915ds/5781Mi)
% 84.36/12.88 % (2765002)Instruction limit reached!
% 84.36/12.88 % (2765002)------------------------------
% 84.36/12.88 % (2765002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.36/12.88 % (2765002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.36/12.88 % (2765002)CaDiCaL version: 2.1.3
% 84.36/12.88 % (2765002)Termination reason: Instruction limit
% 84.36/12.88 % (2765002)Termination phase: Saturation
% 84.36/12.88 % (2765002)Time elapsed: 6.459 s
% 84.36/12.88 % (2765002)Peak memory usage: 260 MB
% 84.36/12.88 % (2765002)Instructions burned: 12115 (million)
% 84.36/12.88 % (2765014)Instruction limit reached!
% 84.36/12.88 % (2765014)------------------------------
% 84.36/12.88 % (2765014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.36/12.88 % (2765014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.36/12.88 % (2765014)CaDiCaL version: 2.1.3
% 84.36/12.88 % (2765014)Termination reason: Instruction limit
% 84.36/12.88 % (2765014)Termination phase: Saturation
% 84.36/12.88 % (2765014)Time elapsed: 3.987 s
% 84.36/12.88 % (2765014)Peak memory usage: 188 MB
% 84.36/12.88 % (2765014)Instructions burned: 9927 (million)
% 84.36/12.88 % (2765032)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=4139994160:i=2448:gtgl=5:bd=preordered:gtg=all_2901 on theBenchmark for (2901ds/2448Mi)
% 84.36/12.88 % (2765033)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3199505983:i=3223:kws=precedence:fgj=on:av=off_2900 on theBenchmark for (2900ds/3223Mi)
% 84.36/12.88 % (2764991)Instruction limit reached!
% 84.36/12.88 % (2764991)------------------------------
% 84.36/12.88 % (2764991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.36/12.88 % (2764991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.36/12.88 % (2764991)CaDiCaL version: 2.1.3
% 84.36/12.88 % (2764991)Termination reason: Instruction limit
% 84.36/12.88 % (2764991)Termination phase: Saturation
% 84.36/12.88 % (2764991)Time elapsed: 8.314 s
% 84.36/12.88 % (2764991)Peak memory usage: 232 MB
% 84.36/12.88 % (2764991)Instructions burned: 14156 (million)
% 84.36/12.88 % (2765038)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=980106307:st=5.6:i=2033:sd=3:ss=axioms_2890 on theBenchmark for (2890ds/2033Mi)
% 84.36/12.88 % (2765033)Instruction limit reached!
% 84.36/12.88 % (2765033)------------------------------
% 84.36/12.88 % (2765033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.36/12.88 % (2765033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.36/12.88 % (2765033)CaDiCaL version: 2.1.3
% 84.36/12.88 % (2765033)Termination reason: Instruction limit
% 84.36/12.88 % (2765033)Termination phase: Saturation
% 86.63/13.05 % (2765033)Time elapsed: 1.103 s
% 86.63/13.05 % (2765033)Peak memory usage: 147 MB
% 86.63/13.05 % (2765033)Instructions burned: 3224 (million)
% 86.63/13.05 % (2765079)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3286734557:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2888 on theBenchmark for (2888ds/2055Mi)
% 86.63/13.05 % (2765032)Instruction limit reached!
% 86.63/13.05 % (2765032)------------------------------
% 86.63/13.05 % (2765032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.63/13.05 % (2765032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.63/13.05 % (2765032)CaDiCaL version: 2.1.3
% 86.63/13.05 % (2765032)Termination reason: Instruction limit
% 86.63/13.05 % (2765032)Termination phase: Saturation
% 86.63/13.05 % (2765032)Time elapsed: 1.443 s
% 86.63/13.05 % (2765032)Peak memory usage: 145 MB
% 86.63/13.05 % (2765032)Instructions burned: 2448 (million)
% 86.63/13.05 [W927 15:57:19.973289691 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973340799 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973361936 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973368109 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973381811 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973387493 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973401209 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973415171 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973428294 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973433978 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.
% 86.63/13.05 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.63/13.05 [W927 15:57:19.973446508 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.
% 103.99/15.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.99/15.55 [W927 15:57:19.973452194 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.
% 103.99/15.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.99/15.55 % (2765038)Refutation not found, incomplete strategy
% 103.99/15.55 % (2765038)------------------------------
% 103.99/15.55 % (2765038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.99/15.55 % (2765079)Refutation not found, incomplete strategy
% 103.99/15.55 % (2765079)------------------------------
% 103.99/15.55 % (2765079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.99/15.55 % (2765038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.99/15.55 % (2765079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.99/15.55 % (2765038)CaDiCaL version: 2.1.3
% 103.99/15.55 % (2765079)CaDiCaL version: 2.1.3
% 103.99/15.55 % (2765038)Termination reason: Refutation not found, incomplete strategy
% 103.99/15.55 % (2765038)Time elapsed: 0.542 s
% 103.99/15.55 % (2765038)Peak memory usage: 126 MB
% 103.99/15.55 % (2765079)Termination reason: Refutation not found, incomplete strategy
% 103.99/15.55 % (2765079)Time elapsed: 0.318 s
% 103.99/15.55 % (2765079)Peak memory usage: 126 MB
% 103.99/15.55 % (2765038)Instructions burned: 828 (million)
% 103.99/15.55 % (2765079)Instructions burned: 823 (million)
% 103.99/15.55 % (2765081)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=362683716:i=21611:sd=3:ss=axioms_2885 on theBenchmark for (2885ds/21611Mi)
% 103.99/15.55 % (2765038)------------------------------
% 103.99/15.55 % (2765038)------------------------------
% 103.99/15.55 % (2765079)------------------------------
% 103.99/15.55 % (2765079)------------------------------
% 103.99/15.55 % (2765149)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2090193235:i=4835:sd=13:ss=axioms:sgt=23_2882 on theBenchmark for (2882ds/4835Mi)
% 103.99/15.55 % (2765030)Instruction limit reached!
% 103.99/15.55 % (2765030)------------------------------
% 103.99/15.55 % (2765030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.99/15.55 % (2765030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.99/15.55 % (2765030)CaDiCaL version: 2.1.3
% 103.99/15.55 % (2765030)Termination reason: Instruction limit
% 103.99/15.55 % (2765030)Termination phase: Saturation
% 103.99/15.55 % (2765030)Time elapsed: 3.407 s
% 103.99/15.55 % (2765030)Peak memory usage: 143 MB
% 103.99/15.55 % (2765030)Instructions burned: 5782 (million)
% 103.99/15.55 [W927 15:57:20.477454896 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.
% 103.99/15.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.99/15.55 [W927 15:57:20.477496583 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.
% 103.99/15.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.99/15.55 [W927 15:57:20.477534210 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.
% 103.99/15.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.99/15.55 [W927 15:57:20.477547603 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.
% 103.99/15.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 103.99/15.55 [W927 15:57:20.477575617 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.
% 103.99/15.55 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 115.84/17.18 [W927 15:57:20.477586924 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.
% 115.84/17.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 115.84/17.18 [W927 15:57:20.477615517 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.
% 115.84/17.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 115.84/17.18 [W927 15:57:20.477625704 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.
% 115.84/17.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 115.84/17.18 [W927 15:57:20.477650174 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.
% 115.84/17.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 115.84/17.18 [W927 15:57:20.477660881 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.
% 115.84/17.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 115.84/17.18 [W927 15:57:20.477685108 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.
% 115.84/17.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 115.84/17.18 [W927 15:57:20.477695311 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.
% 115.84/17.18 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 115.84/17.18 % (2765152)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=594504044:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2881 on theBenchmark for (2881ds/797Mi)
% 115.84/17.18 % (2765152)Refutation not found, incomplete strategy
% 115.84/17.18 % (2765152)------------------------------
% 115.84/17.18 % (2765152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.84/17.18 % (2765152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.84/17.18 % (2765152)CaDiCaL version: 2.1.3
% 115.84/17.18 % (2765152)Termination reason: Refutation not found, incomplete strategy
% 115.84/17.18 % (2765152)Time elapsed: 0.001 s
% 115.84/17.18 % (2765152)Peak memory usage: 87 MB
% 115.84/17.18 % (2765152)Instructions burned: 1 (million)
% 115.84/17.18 % (2765191)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3334533113:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2879 on theBenchmark for (2879ds/2326Mi)
% 115.84/17.18 % (2765191)Refutation not found, incomplete strategy
% 115.84/17.18 % (2765191)------------------------------
% 115.84/17.18 % (2765191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.84/17.18 % (2765191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.84/17.18 % (2765191)CaDiCaL version: 2.1.3
% 115.84/17.18 % (2765191)Termination reason: Refutation not found, incomplete strategy
% 115.84/17.18 % (2765191)Time elapsed: 0.002 s
% 115.84/17.18 % (2765191)Peak memory usage: 88 MB
% 115.84/17.18 % (2765191)Instructions burned: 1 (million)
% 115.84/17.18 % (2765081)Refutation not found, incomplete strategy
% 115.84/17.18 % (2765081)------------------------------
% 115.84/17.18 % (2765081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 115.84/17.18 % (2765081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 115.84/17.18 % (2765081)CaDiCaL version: 2.1.3
% 115.84/17.18 % (2765081)Termination reason: Refutation not found, incomplete strategy
% 142.21/20.90 % (2765081)Time elapsed: 0.562 s
% 142.21/20.90 % (2765081)Peak memory usage: 126 MB
% 142.21/20.90 % (2765081)Instructions burned: 826 (million)
% 142.21/20.90 % (2765152)------------------------------
% 142.21/20.90 % (2765152)------------------------------
% 142.21/20.90 % (2765191)------------------------------
% 142.21/20.90 % (2765191)------------------------------
% 142.21/20.90 % (2765081)------------------------------
% 142.21/20.90 % (2765081)------------------------------
% 142.21/20.90 % (2765194)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2006037447:i=6038:nm=6_2876 on theBenchmark for (2876ds/6038Mi)
% 142.21/20.90 % (2765200)lrs+10_1_sil=32000:sp=occurrence:random_seed=1298289061:st=2:i=33334:sd=3:ss=included:sgt=32_2875 on theBenchmark for (2875ds/33334Mi)
% 142.21/20.90 % (2765209)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=735820966:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2875 on theBenchmark for (2875ds/1008Mi)
% 142.21/20.90 % (2765209)Refutation not found, incomplete strategy
% 142.21/20.90 % (2765209)------------------------------
% 142.21/20.90 % (2765209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.21/20.90 % (2765209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.21/20.90 % (2765209)CaDiCaL version: 2.1.3
% 142.21/20.90 % (2765209)Termination reason: Refutation not found, incomplete strategy
% 142.21/20.90 % (2765209)Time elapsed: 0.001 s
% 142.21/20.90 % (2765209)Peak memory usage: 88 MB
% 142.21/20.90 % (2765209)------------------------------
% 142.21/20.90 % (2765209)------------------------------
% 142.21/20.90 % (2765301)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=932406456:i=8327:s2at=5:bd=preordered_2871 on theBenchmark for (2871ds/8327Mi)
% 142.21/20.90 % (2765194)Refutation not found, incomplete strategy
% 142.21/20.90 % (2765194)------------------------------
% 142.21/20.90 % (2765194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.21/20.90 % (2765194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.21/20.90 % (2765194)CaDiCaL version: 2.1.3
% 142.21/20.90 % (2765194)Termination reason: Refutation not found, incomplete strategy
% 142.21/20.90 % (2765194)Time elapsed: 0.615 s
% 142.21/20.90 % (2765194)Peak memory usage: 128 MB
% 142.21/20.90 % (2765194)Instructions burned: 893 (million)
% 142.21/20.90 % (2765194)------------------------------
% 142.21/20.90 % (2765194)------------------------------
% 142.21/20.90 % (2765340)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=294454828:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2865 on theBenchmark for (2865ds/1083Mi)
% 142.21/20.90 % (2765149)Instruction limit reached!
% 142.21/20.90 % (2765149)------------------------------
% 142.21/20.90 % (2765149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.21/20.90 % (2765149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.21/20.90 % (2765149)CaDiCaL version: 2.1.3
% 142.21/20.90 % (2765149)Termination reason: Instruction limit
% 142.21/20.90 % (2765149)Termination phase: Saturation
% 142.21/20.90 % (2765149)Time elapsed: 2.033 s
% 142.21/20.90 % (2765149)Peak memory usage: 132 MB
% 142.21/20.90 % (2765149)Instructions burned: 4840 (million)
% 142.21/20.90 % (2765348)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=3205750121:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2860 on theBenchmark for (2860ds/1084Mi)
% 142.21/20.90 % (2765348)Refutation not found, incomplete strategy
% 142.21/20.90 % (2765348)------------------------------
% 142.21/20.90 % (2765348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.21/20.90 % (2765348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.21/20.90 % (2765348)CaDiCaL version: 2.1.3
% 142.21/20.90 % (2765348)Termination reason: Refutation not found, incomplete strategy
% 142.21/20.90 % (2765348)Time elapsed: 0.001 s
% 142.21/20.90 % (2765348)Peak memory usage: 86 MB
% 142.21/20.90 % (2765348)------------------------------
% 142.21/20.90 % (2765348)------------------------------
% 142.21/20.90 % (2765356)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=3007322991:i=6995:s2at=5:gtg=all_2855 on theBenchmark for (2855ds/6995Mi)
% 142.21/20.90 % (2765340)Instruction limit reached!
% 148.20/21.76 % (2765340)------------------------------
% 148.20/21.76 % (2765340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.20/21.76 % (2765340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.20/21.76 % (2765340)CaDiCaL version: 2.1.3
% 148.20/21.76 % (2765340)Termination reason: Instruction limit
% 148.20/21.76 % (2765340)Termination phase: Saturation
% 148.20/21.76 % (2765340)Time elapsed: 0.933 s
% 148.20/21.76 % (2765340)Peak memory usage: 98 MB
% 148.20/21.76 % (2765340)Instructions burned: 1084 (million)
% 148.20/21.76 % (2765360)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=2986670110:st=2:i=6225:sd=15:ss=axioms_2853 on theBenchmark for (2853ds/6225Mi)
% 148.20/21.76 % (2765360)Refutation not found, incomplete strategy
% 148.20/21.76 % (2765360)------------------------------
% 148.20/21.76 % (2765360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.20/21.76 % (2765360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.20/21.76 % (2765360)CaDiCaL version: 2.1.3
% 148.20/21.76 % (2765360)Termination reason: Refutation not found, incomplete strategy
% 148.20/21.76 % (2765360)Time elapsed: 0.001 s
% 148.20/21.76 % (2765360)Peak memory usage: 87 MB
% 148.20/21.76 % (2765360)------------------------------
% 148.20/21.76 % (2765360)------------------------------
% 148.20/21.76 % (2765366)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=3190774520:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2845 on theBenchmark for (2845ds/3372Mi)
% 148.20/21.76 [W927 15:57:24.776716076 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.
% 148.20/21.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 148.20/21.76 [W927 15:57:24.776765599 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.
% 148.20/21.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 148.20/21.76 [W927 15:57:24.776827697 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.
% 148.20/21.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 148.20/21.76 [W927 15:57:24.776849003 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.
% 148.20/21.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 148.20/21.76 [W927 15:57:24.776898097 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.
% 148.20/21.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 148.20/21.76 [W927 15:57:24.776918217 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.
% 148.20/21.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 148.20/21.76 [W927 15:57:24.776965371 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.
% 148.20/21.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 148.20/21.76 [W927 15:57:24.776985518 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.
% 148.20/21.76 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 148.20/21.76 [W927 15:57:24.777047725 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.
% 170.13/24.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 170.13/24.83 [W927 15:57:24.777068408 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.
% 170.13/24.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 170.13/24.83 [W927 15:57:24.777117679 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.
% 170.13/24.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 170.13/24.83 [W927 15:57:24.777149842 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.
% 170.13/24.83 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 170.13/24.83 % (2765366)Refutation not found, incomplete strategy
% 170.13/24.83 % (2765366)------------------------------
% 170.13/24.83 % (2765366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.13/24.83 % (2765366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.13/24.83 % (2765366)CaDiCaL version: 2.1.3
% 170.13/24.83 % (2765366)Termination reason: Refutation not found, incomplete strategy
% 170.13/24.83 % (2765366)Time elapsed: 0.904 s
% 170.13/24.83 % (2765366)Peak memory usage: 126 MB
% 170.13/24.83 % (2765366)Instructions burned: 826 (million)
% 170.13/24.83 % (2765366)------------------------------
% 170.13/24.83 % (2765366)------------------------------
% 170.13/24.83 % (2765372)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=1817533292:st=2.3:i=26457:sd=10:ss=included:sgt=8_2829 on theBenchmark for (2829ds/26457Mi)
% 170.13/24.83 % (2765372)Refutation not found, incomplete strategy
% 170.13/24.83 % (2765372)------------------------------
% 170.13/24.83 % (2765372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.13/24.83 % (2765372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.13/24.83 % (2765372)CaDiCaL version: 2.1.3
% 170.13/24.83 % (2765372)Termination reason: Refutation not found, incomplete strategy
% 170.13/24.83 % (2765372)Time elapsed: 0.921 s
% 170.13/24.83 % (2765372)Peak memory usage: 127 MB
% 170.13/24.83 % (2765372)Instructions burned: 830 (million)
% 170.13/24.83 % (2765356)Instruction limit reached!
% 170.13/24.83 % (2765356)------------------------------
% 170.13/24.83 % (2765356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.13/24.83 % (2765356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.13/24.83 % (2765356)CaDiCaL version: 2.1.3
% 170.13/24.83 % (2765356)Termination reason: Instruction limit
% 170.13/24.83 % (2765356)Termination phase: Saturation
% 170.13/24.83 % (2765356)Time elapsed: 3.834 s
% 170.13/24.83 % (2765356)Peak memory usage: 177 MB
% 170.13/24.83 % (2765356)Instructions burned: 6995 (million)
% 170.13/24.83 % (2765372)------------------------------
% 170.13/24.83 % (2765372)------------------------------
% 170.13/24.83 % (2765374)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=3562998569:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2815 on theBenchmark for (2815ds/13494Mi)
% 170.13/24.83 % (2765375)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=153119710:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2813 on theBenchmark for (2813ds/2503Mi)
% 170.13/24.83 % (2765028)Instruction limit reached!
% 170.13/24.83 % (2765028)------------------------------
% 170.13/24.83 % (2765028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.13/24.83 % (2765028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.13/24.83 % (2765028)CaDiCaL version: 2.1.3
% 170.13/24.83 % (2765028)Termination reason: Instruction limit
% 170.13/24.83 % (2765028)Termination phase: Saturation
% 170.13/24.83 % (2765028)Time elapsed: 11.399 s
% 170.13/24.83 % (2765028)Peak memory usage: 190 MB
% 170.13/24.83 % (2765028)Instructions burned: 14123 (million)
% 170.13/24.83 % (2765380)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=3303434186:i=2559:sd=1:ep=RSTC:ss=axioms_2802 on theBenchmark for (2802ds/2559Mi)
% 180.79/26.40 [W927 15:57:29.108148784 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108194405 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108248478 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108267112 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108308825 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108326976 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108367889 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108385329 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108425676 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108443560 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108483747 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 [W927 15:57:29.108501617 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.
% 180.79/26.40 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 180.79/26.40 % (2765380)Refutation not found, incomplete strategy
% 180.79/26.40 % (2765380)------------------------------
% 180.79/26.40 % (2765380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 180.79/26.40 % (2765380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.64/27.39 % (2765380)CaDiCaL version: 2.1.3
% 187.64/27.39 % (2765380)Termination reason: Refutation not found, incomplete strategy
% 187.64/27.39 % (2765380)Time elapsed: 0.860 s
% 187.64/27.39 % (2765380)Peak memory usage: 126 MB
% 187.64/27.39 % (2765380)Instructions burned: 826 (million)
% 187.64/27.39 % (2765301)Instruction limit reached!
% 187.64/27.39 % (2765301)------------------------------
% 187.64/27.39 % (2765301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 187.64/27.39 % (2765301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.64/27.39 % (2765301)CaDiCaL version: 2.1.3
% 187.64/27.39 % (2765301)Termination reason: Instruction limit
% 187.64/27.39 % (2765301)Termination phase: Saturation
% 187.64/27.39 % (2765301)Time elapsed: 8.241 s
% 187.64/27.39 % (2765301)Peak memory usage: 187 MB
% 187.64/27.39 % (2765301)Instructions burned: 8328 (million)
% 187.64/27.39 % (2765380)------------------------------
% 187.64/27.39 % (2765380)------------------------------
% 187.64/27.39 % (2765375)Instruction limit reached!
% 187.64/27.39 % (2765375)------------------------------
% 187.64/27.39 % (2765375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 187.64/27.39 % (2765375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.64/27.39 % (2765375)CaDiCaL version: 2.1.3
% 187.64/27.39 % (2765375)Termination reason: Instruction limit
% 187.64/27.39 % (2765375)Termination phase: Saturation
% 187.64/27.39 % (2765375)Time elapsed: 2.442 s
% 187.64/27.39 % (2765375)Peak memory usage: 144 MB
% 187.64/27.39 % (2765375)Instructions burned: 2503 (million)
% 187.64/27.39 % (2765385)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=3265537754:i=26473:ep=RSTC_2787 on theBenchmark for (2787ds/26473Mi)
% 187.64/27.39 % (2765384)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=3532503186:i=30753:av=off:ss=included_2787 on theBenchmark for (2787ds/30753Mi)
% 187.64/27.39 % (2765388)dis-1011_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:tgt=ground:npcc=on:sp=arity:sos=on:erd=off:rp=on:gs=on:kmz=on:random_seed=2072557468:cts=off:i=2759:kws=inv_arity:fgj=on_2786 on theBenchmark for (2786ds/2759Mi)
% 187.64/27.39 % (2765388)Refutation not found, incomplete strategy
% 187.64/27.39 % (2765388)------------------------------
% 187.64/27.39 % (2765388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 187.64/27.39 % (2765388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.64/27.39 % (2765388)CaDiCaL version: 2.1.3
% 187.64/27.39 % (2765388)Termination reason: Refutation not found, incomplete strategy
% 187.64/27.39 % (2765388)Time elapsed: 0.983 s
% 187.64/27.39 % (2765388)Peak memory usage: 128 MB
% 187.64/27.39 % (2765388)Instructions burned: 889 (million)
% 187.64/27.39 % (2765388)------------------------------
% 187.64/27.39 % (2765388)------------------------------
% 187.64/27.39 % (2765396)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:sos=all:spb=goal_then_units:urr=ec_only:sac=on:random_seed=1232638820:st=1.2:i=5665:sd=2:ep=RSTC:gsp=on:ss=axioms_2769 on theBenchmark for (2769ds/5665Mi)
% 187.64/27.39 [W927 15:57:32.433973466 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.
% 187.64/27.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 187.64/27.39 [W927 15:57:32.434047856 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.
% 187.64/27.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 187.64/27.39 [W927 15:57:32.434113517 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.
% 187.64/27.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 187.64/27.39 [W927 15:57:32.434136197 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.
% 187.64/27.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:32.434185974 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:32.434218001 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:32.434266981 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:32.434285951 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:32.434330628 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:32.434349032 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:32.434393065 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:32.434411162 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 % (2765396)Refutation not found, incomplete strategy
% 190.85/27.93 % (2765396)------------------------------
% 190.85/27.93 % (2765396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 190.85/27.93 % (2765396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 190.85/27.93 % (2765396)CaDiCaL version: 2.1.3
% 190.85/27.93 % (2765396)Termination reason: Refutation not found, incomplete strategy
% 190.85/27.93 % (2765396)Time elapsed: 0.903 s
% 190.85/27.93 % (2765396)Peak memory usage: 126 MB
% 190.85/27.93 % (2765396)Instructions burned: 827 (million)
% 190.85/27.93 % (2765396)------------------------------
% 190.85/27.93 % (2765396)------------------------------
% 190.85/27.93 % (2765398)dis+1011_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:npcc=on:sos=on:lsd=20:urr=full:alpa=true:sac=on:random_seed=1072313576:i=1532:ep=RS:ss=axioms_2753 on theBenchmark for (2753ds/1532Mi)
% 190.85/27.93 [W927 15:57:33.996574031 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:33.996622831 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.
% 190.85/27.93 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 190.85/27.93 [W927 15:57:33.996688055 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:33.996709115 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:33.996756326 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:33.996774289 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:33.996820186 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:33.996912883 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:33.996997391 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:33.997062881 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:33.997142742 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:33.997191049 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 % (2765398)Refutation not found, incomplete strategy
% 154.22/30.75 % (2765398)------------------------------
% 154.22/30.75 % (2765398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.22/30.75 % (2765398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.22/30.75 % (2765398)CaDiCaL version: 2.1.3
% 154.22/30.75 % (2765398)Termination reason: Refutation not found, incomplete strategy
% 154.22/30.75 % (2765398)Time elapsed: 0.885 s
% 154.22/30.75 % (2765398)Peak memory usage: 126 MB
% 154.22/30.75 % (2765398)Instructions burned: 823 (million)
% 154.22/30.75 % (2765398)------------------------------
% 154.22/30.75 % (2765398)------------------------------
% 154.22/30.75 % (2765406)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:erd=off:flr=on:newcnf=on:random_seed=15315710:i=1565:sd=2:ss=axioms:sgt=32_2738 on theBenchmark for (2738ds/1565Mi)
% 154.22/30.75 % (2765374)Instruction limit reached!
% 154.22/30.75 % (2765374)------------------------------
% 154.22/30.75 % (2765374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.22/30.75 % (2765374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.22/30.75 % (2765374)CaDiCaL version: 2.1.3
% 154.22/30.75 % (2765374)Termination reason: Instruction limit
% 154.22/30.75 % (2765374)Termination phase: Saturation
% 154.22/30.75 % (2765374)Time elapsed: 7.802 s
% 154.22/30.75 % (2765374)Peak memory usage: 256 MB
% 154.22/30.75 % (2765374)Instructions burned: 13495 (million)
% 154.22/30.75 % (2765408)lrs-1011_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:npcc=on:sims=off:bsd=on:sp=unary_first:erd=off:spb=goal:lcm=reverse:gs=on:s2agt=8:random_seed=51255824:i=1572:fgj=on:gsp=on_2734 on theBenchmark for (2734ds/1572Mi)
% 154.22/30.75 [W927 15:57:35.530431001 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530478457 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530540498 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530559685 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530602668 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530621325 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530665269 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530683732 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530726432 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530744853 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530786163 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 [W927 15:57:35.530804046 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.
% 154.22/30.75 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 154.22/30.75 % (2765406)Refutation not found, incomplete strategy
% 154.22/30.75 % (2765406)------------------------------
% 154.22/30.75 % (2765406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.22/30.75 % (2765406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.22/30.75 % (2765406)CaDiCaL version: 2.1.3
% 154.22/30.75 % (2765406)Termination reason: Refutation not found, incomplete strategy
% 154.22/30.75 % (2765406)Time elapsed: 0.883 s
% 154.22/30.75 % (2765406)Peak memory usage: 126 MB
% 154.22/30.75 % (2765406)Instructions burned: 826 (million)
% 154.22/30.75 % (2765408)Instruction limit reached!
% 154.22/30.75 % (2765408)------------------------------
% 154.22/30.75 % (2765408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.22/30.75 % (2765408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.22/30.75 % (2765408)CaDiCaL version: 2.1.3
% 154.22/30.75 % (2765408)Termination reason: Instruction limit
% 154.22/30.75 % (2765408)Termination phase: Saturation
% 154.22/30.75 % (2765408)Time elapsed: 0.918 s
% 154.22/30.75 % (2765408)Peak memory usage: 136 MB
% 154.22/30.75 % (2765408)Instructions burned: 1572 (million)
% 154.22/30.75 % (2765406)------------------------------
% 154.22/30.75 % (2765406)------------------------------
% 154.22/30.75 % (2765414)lrs-1002_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:fde=none:sp=occurrence:sos=on:newcnf=on:random_seed=1765009780:i=6052:sd=4:ss=axioms:sgt=24_2723 on theBenchmark for (2723ds/6052Mi)
% 154.22/30.75 % (2765415)lrs+21_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=arity:sos=on:erd=off:lcm=predicate:alpa=false:sac=on:random_seed=3180891351:i=3500:sd=1:bd=preordered:sup=off:ss=included_2722 on theBenchmark for (2722ds/3500Mi)
% 154.22/30.75 % (2765415)Refutation not found, incomplete strategy
% 154.22/30.75 % (2765415)------------------------------
% 154.22/30.75 % (2765415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.22/30.75 % (2765415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.22/30.75 % (2765415)CaDiCaL version: 2.1.3
% 154.22/30.75 % (2765415)Termination reason: Refutation not found, incomplete strategy
% 154.22/30.75 % (2765415)Time elapsed: 0.497 s
% 154.22/30.75 % (2765415)Peak memory usage: 126 MB
% 154.22/30.75 % (2765415)Instructions burned: 830 (million)
% 154.22/30.75 % (2765414)Refutation not found, incomplete strategy
% 154.22/30.75 % (2765414)------------------------------
% 154.22/30.75 % (2765414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.22/30.75 % (2765414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.22/30.75 % (2765414)CaDiCaL version: 2.1.3
% 154.22/30.75 % (2765414)Termination reason: Refutation not found, incomplete strategy
% 154.22/30.75 % (2765414)Time elapsed: 0.889 s
% 154.22/30.75 % (2765414)Peak memory usage: 127 MB
% 154.22/30.75 % (2765414)Instructions burned: 854 (million)
% 154.22/30.75 % (2765415)------------------------------
% 154.22/30.75 % (2765415)------------------------------
% 154.22/30.75 % (2765414)------------------------------
% 154.22/30.75 % (2765414)------------------------------
% 154.22/30.75 % (2765420)lrs+35_1_anc=all_dependent:ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:npcc=on:fde=none:sp=weighted_frequency:erd=off:spb=non_intro:updr=off:newcnf=on:random_seed=1226001236:i=1842:sd=3:fgj=on:gtg=position:gsp=on:ss=axioms:sgt=20_2711 on theBenchmark for (2711ds/1842Mi)
% 154.22/30.75 % (2764936)First to succeed.
% 154.22/30.75 % (2764936)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2764931"
% 154.22/30.75 % (2765421)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=2442470702:i=66096:add=on_2709 on theBenchmark for (2709ds/66096Mi)
% 154.22/30.75 % (2764936)Refutation found. Thanks to Tanya!
% 154.22/30.75 % SZS status Theorem for theBenchmark
% 154.22/30.75 % SZS output start Proof for theBenchmark
% See solution above
% 211.85/30.93 % (2764936)------------------------------
% 211.85/30.93 % (2764936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 211.85/30.93 % (2764936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.85/30.93 % (2764936)CaDiCaL version: 2.1.3
% 211.85/30.93 % (2764936)Termination reason: Refutation
% 211.85/30.93 % (2764936)Time elapsed: 29.057 s
% 211.85/30.93 % (2764936)Peak memory usage: 495 MB
% 211.85/30.93 % (2764936)Instructions burned: 36660 (million)
% 211.85/30.93 % (2764936)------------------------------
% 211.85/30.93 % (2764936)------------------------------
% 211.85/30.93 % (2764931)Success in time 29.888 s
% 211.85/30.93 % Vampire exiting
%------------------------------------------------------------------------------