%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL557+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:52:56 AM UTC 2026
% Result : Theorem 42.65s 6.78s
% Output : Refutation 43.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 81
% Number of leaves : 26
% Syntax : Number of formulae : 257 ( 191 unt; 0 def)
% Number of atoms : 351 ( 132 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 162 ( 68 ~; 62 |; 4 &)
% ( 9 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 14 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 522 ( 520 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
( and_3
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_3) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and) ).
fof(f33,axiom,
( modus_ponens_strict_implies
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(strict_implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/benchmark/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/sandbox/benchmark/theBenchmark.p',adjunction) ).
fof(f35,axiom,
( substitution_strict_equiv
<=> ! [X0,X1] :
( is_a_theorem(strict_equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_m1) ).
fof(f46,axiom,
( axiom_m2
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_m3) ).
fof(f48,axiom,
( axiom_m4
<=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_m5) ).
fof(f57,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_strict_implies) ).
fof(f58,axiom,
( op_strict_equiv
=> ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_strict_equiv) ).
fof(f62,axiom,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
fof(f64,axiom,
op_strict_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_equiv) ).
fof(f65,axiom,
modus_ponens_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies) ).
fof(f66,axiom,
substitution_strict_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_substitution_strict_equiv) ).
fof(f67,axiom,
adjunction,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_adjunction) ).
fof(f68,axiom,
axiom_m1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m1) ).
fof(f69,axiom,
axiom_m2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m2) ).
fof(f70,axiom,
axiom_m3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m3) ).
fof(f71,axiom,
axiom_m4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m4) ).
fof(f72,axiom,
axiom_m5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m5) ).
fof(f73,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f74,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f77,conjecture,
and_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_3) ).
fof(f78,negated_conjecture,
~ and_3,
inference(negated_conjecture,[status(cth)],[f77]) ).
fof(f79,plain,
~ and_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] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
=> and_3 ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f95,plain,
( and_3
| ? [X0,X1] : ~ is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(ennf_transformation,[],[f88]) ).
fof(f96,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f97,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f99,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(strict_implies(X0,X1)) )
| ~ modus_ponens_strict_implies ),
inference(ennf_transformation,[],[f87]) ).
fof(f100,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(strict_implies(X0,X1)) )
| ~ modus_ponens_strict_implies ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ adjunction ),
inference(ennf_transformation,[],[f86]) ).
fof(f102,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ adjunction ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1)) )
| ~ substitution_strict_equiv ),
inference(ennf_transformation,[],[f85]) ).
fof(f104,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| ~ axiom_m1 ),
inference(ennf_transformation,[],[f84]) ).
fof(f105,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ axiom_m2 ),
inference(ennf_transformation,[],[f83]) ).
fof(f106,plain,
( ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
| ~ axiom_m3 ),
inference(ennf_transformation,[],[f82]) ).
fof(f107,plain,
( ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))
| ~ axiom_m4 ),
inference(ennf_transformation,[],[f81]) ).
fof(f108,plain,
( ! [X0,X1,X2] : is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))
| ~ axiom_m5 ),
inference(ennf_transformation,[],[f80]) ).
fof(f110,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(ennf_transformation,[],[f57]) ).
fof(f111,plain,
( ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))
| ~ op_strict_equiv ),
inference(ennf_transformation,[],[f58]) ).
fof(f112,plain,
( and_3
| ~ is_a_theorem(implies(sK0,implies(sK1,and(sK0,sK1)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f95]) ).
fof(f114,plain,
( and_3
| ~ is_a_theorem(implies(sK0,implies(sK1,and(sK0,sK1)))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f115,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f96]) ).
fof(f116,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f97]) ).
fof(f118,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(strict_implies(X0,X1))
| ~ modus_ponens_strict_implies ),
inference(cnf_transformation,[],[f100]) ).
fof(f119,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ adjunction ),
inference(cnf_transformation,[],[f102]) ).
fof(f120,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1))
| ~ substitution_strict_equiv ),
inference(cnf_transformation,[],[f103]) ).
fof(f121,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| ~ axiom_m1 ),
inference(cnf_transformation,[],[f104]) ).
fof(f122,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ axiom_m2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f123,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
| ~ axiom_m3 ),
inference(cnf_transformation,[],[f106]) ).
fof(f124,plain,
! [X0] :
( is_a_theorem(strict_implies(X0,and(X0,X0)))
| ~ axiom_m4 ),
inference(cnf_transformation,[],[f107]) ).
fof(f125,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))
| ~ axiom_m5 ),
inference(cnf_transformation,[],[f108]) ).
fof(f127,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[],[f110]) ).
fof(f128,plain,
! [X0,X1] :
( strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))
| ~ op_strict_equiv ),
inference(cnf_transformation,[],[f111]) ).
fof(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(f146,plain,
~ and_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(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(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(sK0,implies(sK1,and(sK0,sK1)))),
inference(forward_subsumption_resolution,[],[f114,f146]) ).
fof(f163,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f160,f159]) ).
fof(f164,plain,
! [X2,X0,X1] : implies(X2,and(X0,not(X1))) = not(and(X2,implies(X0,X1))),
inference(superposition,[],[f159,f159]) ).
fof(f166,plain,
! [X0,X1] : strict_implies(not(X0),X1) = necessarily(or(X0,X1)),
inference(superposition,[],[f148,f163]) ).
fof(f215,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(f226,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,X1),and(X1,X0))),
inference(unit_resulting_resolution,[],[f215,f154,f154]) ).
fof(f227,plain,
! [X0] : is_a_theorem(strict_equiv(X0,and(X0,X0))),
inference(unit_resulting_resolution,[],[f215,f151,f153]) ).
fof(f231,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X0,X1)))
| is_a_theorem(strict_equiv(X0,and(X0,X1))) ),
inference(resolution,[],[f215,f153]) ).
fof(f250,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(f257,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X2,X1))
| ~ is_a_theorem(strict_implies(X0,X2))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f250,f156]) ).
fof(f274,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X1,X0))),
inference(unit_resulting_resolution,[],[f257,f153,f154]) ).
fof(f275,plain,
! [X0] : is_a_theorem(strict_implies(X0,X0)),
inference(unit_resulting_resolution,[],[f257,f151,f153]) ).
fof(f277,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X1)),
inference(unit_resulting_resolution,[],[f257,f154,f153]) ).
fof(f336,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X0,and(X1,X2)),and(X2,X1))),
inference(unit_resulting_resolution,[],[f257,f154,f277]) ).
fof(f685,plain,
! [X0,X1] : and(X0,X1) = and(X1,X0),
inference(resolution,[],[f155,f226]) ).
fof(f686,plain,
! [X0] : and(X0,X0) = X0,
inference(resolution,[],[f155,f227]) ).
fof(f827,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X0,and(X0,X1)))),
inference(superposition,[],[f152,f686]) ).
fof(f850,plain,
! [X0] : strict_equiv(X0,X0) = strict_implies(X0,X0),
inference(superposition,[],[f147,f686]) ).
fof(f924,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X1,and(X0,X2)))),
inference(superposition,[],[f152,f685]) ).
fof(f941,plain,
! [X0,X1] : implies(X1,X0) = not(and(not(X0),X1)),
inference(superposition,[],[f159,f685]) ).
fof(f960,plain,
! [X2,X0,X1] : implies(X2,and(X0,not(X1))) = not(and(implies(X0,X1),X2)),
inference(superposition,[],[f941,f159]) ).
fof(f966,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(superposition,[],[f159,f941]) ).
fof(f970,plain,
! [X2,X0,X1] : not(and(X2,implies(X0,X1))) = implies(X2,and(not(X1),X0)),
inference(superposition,[],[f159,f941]) ).
fof(f973,plain,
! [X0,X1] : implies(not(X0),X1) = or(X1,X0),
inference(forward_demodulation,[],[f966,f163]) ).
fof(f977,plain,
! [X2,X0,X1] : implies(implies(X0,X1),X2) = or(X2,and(not(X1),X0)),
inference(superposition,[],[f973,f941]) ).
fof(f979,plain,
! [X0,X1] : or(X0,X1) = or(X1,X0),
inference(superposition,[],[f163,f973]) ).
fof(f983,plain,
! [X0,X1] : necessarily(or(X0,X1)) = strict_implies(not(X1),X0),
inference(superposition,[],[f148,f973]) ).
fof(f1018,plain,
! [X0,X1] : necessarily(or(X0,X1)) = necessarily(or(X1,X0)),
inference(superposition,[],[f166,f983]) ).
fof(f1256,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,and(X1,X0)))),
inference(unit_resulting_resolution,[],[f257,f154,f827]) ).
fof(f1340,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(and(X0,and(X0,X1)),and(X1,X0)))
| is_a_theorem(strict_equiv(and(X0,and(X0,X1)),and(X1,X0))) ),
inference(resolution,[],[f1256,f215]) ).
fof(f1358,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,and(X0,X1)),and(X1,X0))),
inference(forward_subsumption_resolution,[],[f1340,f336]) ).
fof(f1388,plain,
! [X0,X1] : and(X1,X0) = and(X0,and(X0,X1)),
inference(resolution,[],[f1358,f155]) ).
fof(f1525,plain,
! [X0,X1] : and(X0,X1) = and(X1,and(X0,X1)),
inference(superposition,[],[f1388,f685]) ).
fof(f1548,plain,
! [X0,X1] : not(and(X0,not(X1))) = implies(and(not(X1),X0),X1),
inference(superposition,[],[f941,f1388]) ).
fof(f1551,plain,
! [X0,X1] : implies(X0,X1) = implies(and(not(X1),X0),X1),
inference(forward_demodulation,[],[f1548,f159]) ).
fof(f1592,plain,
! [X0,X1] : implies(X0,X1) = implies(and(X0,not(X1)),X1),
inference(superposition,[],[f1551,f685]) ).
fof(f1599,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(and(not(X1),X0),X1),
inference(superposition,[],[f148,f1551]) ).
fof(f1604,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(and(not(X1),X0),X1),
inference(forward_demodulation,[],[f1599,f148]) ).
fof(f1634,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(and(X0,not(X1)),X1),
inference(superposition,[],[f148,f1592]) ).
fof(f1639,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(and(X0,not(X1)),X1),
inference(forward_demodulation,[],[f1634,f148]) ).
fof(f1709,plain,
! [X0,X1] : and(X0,X1) = and(X0,and(X0,X1)),
inference(superposition,[],[f1525,f685]) ).
fof(f2230,plain,
! [X2,X0,X1] : not(and(X0,implies(X1,X2))) = not(and(implies(X1,X2),X0)),
inference(superposition,[],[f960,f164]) ).
fof(f2351,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X0,and(X1,X2)),and(X2,and(X1,X0)))),
inference(superposition,[],[f924,f685]) ).
fof(f2715,plain,
! [X2,X0,X1] : is_a_theorem(strict_equiv(and(X0,and(X1,X2)),and(X2,and(X1,X0)))),
inference(unit_resulting_resolution,[],[f215,f2351,f2351]) ).
fof(f2877,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X2,and(X1,X0)),
inference(resolution,[],[f2715,f155]) ).
fof(f2950,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X2,and(X0,X1)),
inference(superposition,[],[f2877,f685]) ).
fof(f2953,plain,
! [X2,X0,X1] : and(X2,and(X0,X1)) = and(and(X0,X1),and(X1,X2)),
inference(superposition,[],[f2877,f1525]) ).
fof(f3054,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(and(X1,X0),X2),
inference(superposition,[],[f685,f2877]) ).
fof(f3067,plain,
! [X2,X0,X1] : implies(and(X1,X0),X2) = not(and(X0,and(X1,not(X2)))),
inference(superposition,[],[f941,f2877]) ).
fof(f3123,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X1,and(X0,X2)),and(X1,X0))),
inference(backward_demodulation,[],[f274,f3054]) ).
fof(f3365,plain,
! [X2,X0,X1] : and(X2,and(X0,X1)) = and(X1,and(X0,and(X1,X2))),
inference(forward_demodulation,[],[f2953,f3054]) ).
fof(f3714,plain,
! [X2,X0,X1] : implies(and(X0,not(X1)),X2) = implies(and(X0,not(X2)),X1),
inference(superposition,[],[f941,f3067]) ).
fof(f3807,plain,
! [X2,X0,X1] : strict_implies(and(X0,not(X2)),X1) = necessarily(implies(and(X0,not(X1)),X2)),
inference(superposition,[],[f148,f3714]) ).
fof(f3814,plain,
! [X2,X0,X1] : strict_implies(and(X0,not(X1)),X2) = strict_implies(and(X0,not(X2)),X1),
inference(forward_demodulation,[],[f3807,f148]) ).
fof(f3883,plain,
! [X2,X0,X1] : strict_implies(and(not(X0),X1),X2) = strict_implies(and(X1,not(X2)),X0),
inference(superposition,[],[f3814,f685]) ).
fof(f3906,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,not(X0)),X1)),
inference(superposition,[],[f153,f3814]) ).
fof(f4042,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X1,not(X1))))
| is_a_theorem(strict_implies(X0,X2)) ),
inference(resolution,[],[f3906,f257]) ).
fof(f4049,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,not(X0)),and(and(X0,not(X0)),X1))),
inference(resolution,[],[f3906,f231]) ).
fof(f4064,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,not(X0)),and(not(X0),and(X0,X1)))),
inference(forward_demodulation,[],[f4049,f3054]) ).
fof(f4092,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,not(X0)),and(X0,and(X1,not(X0))))),
inference(forward_demodulation,[],[f4064,f2950]) ).
fof(f4448,plain,
! [X0,X1] : and(X0,not(X0)) = and(X0,and(X1,not(X0))),
inference(resolution,[],[f4092,f155]) ).
fof(f4596,plain,
! [X0,X1] : implies(and(X1,X0),X0) = not(and(X0,not(X0))),
inference(superposition,[],[f3067,f4448]) ).
fof(f4665,plain,
! [X0,X1] : implies(X0,X0) = implies(and(X1,X0),X0),
inference(forward_demodulation,[],[f4596,f159]) ).
fof(f4741,plain,
! [X0,X1] : implies(and(X0,X1),X0) = implies(X0,X0),
inference(superposition,[],[f4665,f685]) ).
fof(f4745,plain,
! [X0,X1] : implies(and(X1,not(X0)),and(X1,not(X0))) = implies(and(X0,not(X0)),and(X1,not(X0))),
inference(superposition,[],[f4665,f4448]) ).
fof(f4764,plain,
! [X0,X1] : implies(and(X1,not(X0)),and(X1,not(X0))) = not(and(and(X0,not(X0)),implies(X1,X0))),
inference(forward_demodulation,[],[f4745,f164]) ).
fof(f4800,plain,
! [X0,X1] : implies(and(X1,not(X0)),and(X1,not(X0))) = not(and(not(X0),and(X0,implies(X1,X0)))),
inference(forward_demodulation,[],[f4764,f3054]) ).
fof(f4808,plain,
! [X0,X1] : implies(and(X1,not(X0)),and(X1,not(X0))) = implies(and(X0,implies(X1,X0)),X0),
inference(forward_demodulation,[],[f4800,f941]) ).
fof(f4815,plain,
! [X0,X1] : implies(X0,X0) = implies(and(X1,not(X0)),and(X1,not(X0))),
inference(forward_demodulation,[],[f4808,f4741]) ).
fof(f4822,plain,
! [X0,X1] : implies(X0,X0) = not(and(and(X1,not(X0)),implies(X1,X0))),
inference(forward_demodulation,[],[f4815,f164]) ).
fof(f4829,plain,
! [X0,X1] : implies(X0,X0) = not(and(implies(X1,X0),and(X1,not(X0)))),
inference(forward_demodulation,[],[f4822,f2230]) ).
fof(f4834,plain,
! [X0,X1] : implies(X0,X0) = implies(and(X1,implies(X1,X0)),X0),
inference(forward_demodulation,[],[f4829,f3067]) ).
fof(f5163,plain,
! [X0,X1] : implies(X0,X0) = implies(and(X0,not(X0)),X1),
inference(superposition,[],[f3714,f4741]) ).
fof(f5238,plain,
! [X0,X1] : implies(X1,X1) = implies(and(and(X0,not(X0)),implies(X0,X0)),X1),
inference(superposition,[],[f4834,f5163]) ).
fof(f5253,plain,
! [X0,X1] : implies(X1,X1) = implies(and(implies(X0,X0),and(X0,not(X0))),X1),
inference(forward_demodulation,[],[f5238,f685]) ).
fof(f5268,plain,
! [X0,X1] : implies(X1,X1) = implies(and(not(X0),and(X0,implies(X0,X0))),X1),
inference(forward_demodulation,[],[f5253,f2877]) ).
fof(f5275,plain,
! [X0,X1] : implies(X1,X1) = implies(and(X0,and(implies(X0,X0),not(X0))),X1),
inference(forward_demodulation,[],[f5268,f2950]) ).
fof(f5280,plain,
! [X0,X1] : implies(X1,X1) = implies(and(X0,not(X0)),X1),
inference(forward_demodulation,[],[f5275,f4448]) ).
fof(f5319,plain,
! [X2,X0,X1] : not(and(implies(X1,X2),and(X1,not(X2)))) = implies(and(X0,not(X0)),and(X1,not(X2))),
inference(superposition,[],[f960,f5280]) ).
fof(f5327,plain,
! [X0,X1] : implies(X0,X0) = implies(X1,X1),
inference(superposition,[],[f5163,f5280]) ).
fof(f5356,plain,
! [X2,X0,X1] : not(and(implies(X1,X2),and(X1,not(X2)))) = not(and(and(X0,not(X0)),implies(X1,X2))),
inference(forward_demodulation,[],[f5319,f164]) ).
fof(f5389,plain,
! [X2,X0,X1] : not(and(implies(X1,X2),and(X1,not(X2)))) = not(and(not(X0),and(X0,implies(X1,X2)))),
inference(forward_demodulation,[],[f5356,f3054]) ).
fof(f5409,plain,
! [X2,X0,X1] : not(and(implies(X1,X2),and(X1,not(X2)))) = implies(and(X0,implies(X1,X2)),X0),
inference(forward_demodulation,[],[f5389,f941]) ).
fof(f5427,plain,
! [X2,X0,X1] : implies(X0,X0) = not(and(implies(X1,X2),and(X1,not(X2)))),
inference(forward_demodulation,[],[f5409,f4741]) ).
fof(f5434,plain,
! [X2,X0,X1] : implies(X0,X0) = implies(and(X1,implies(X1,X2)),X2),
inference(forward_demodulation,[],[f5427,f3067]) ).
fof(f5519,plain,
! [X0,X1] : strict_implies(X1,X1) = necessarily(implies(X0,X0)),
inference(superposition,[],[f148,f5327]) ).
fof(f5536,plain,
! [X0,X1] : strict_implies(X0,X0) = strict_implies(X1,X1),
inference(forward_demodulation,[],[f5519,f148]) ).
fof(f5613,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(strict_implies(X1,X2),strict_implies(X2,X1)),strict_implies(X0,X0))),
inference(superposition,[],[f150,f5536]) ).
fof(f5642,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_equiv(X1,X2),strict_implies(X0,X0))),
inference(forward_demodulation,[],[f5613,f147]) ).
fof(f5748,plain,
! [X2,X0,X1] : necessarily(implies(X0,X0)) = strict_implies(and(X1,implies(X1,X2)),X2),
inference(superposition,[],[f148,f5434]) ).
fof(f5756,plain,
! [X2,X0,X1] : strict_implies(X0,X0) = strict_implies(and(X1,implies(X1,X2)),X2),
inference(forward_demodulation,[],[f5748,f148]) ).
fof(f6326,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X0))
| is_a_theorem(strict_implies(and(X1,implies(X1,and(X2,not(X2)))),X3)) ),
inference(superposition,[],[f4042,f5756]) ).
fof(f6330,plain,
! [X2,X3,X1] : is_a_theorem(strict_implies(and(X1,implies(X1,and(X2,not(X2)))),X3)),
inference(forward_subsumption_resolution,[],[f6326,f275]) ).
fof(f6383,plain,
! [X2,X3,X1] : is_a_theorem(strict_implies(and(X1,not(and(X1,implies(X2,X2)))),X3)),
inference(forward_demodulation,[],[f6330,f164]) ).
fof(f8117,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X0),strict_implies(X1,X1))),
inference(superposition,[],[f5642,f850]) ).
fof(f8154,plain,
! [X0,X1] : is_a_theorem(strict_equiv(strict_implies(X0,X0),strict_implies(X1,X1))),
inference(unit_resulting_resolution,[],[f215,f8117,f8117]) ).
fof(f8298,plain,
! [X0,X1] : ~ is_a_theorem(strict_implies(strict_equiv(strict_implies(X0,X0),strict_implies(X1,X1)),implies(sK0,implies(sK1,and(sK0,sK1))))),
inference(unit_resulting_resolution,[],[f157,f161,f8154]) ).
fof(f16177,plain,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(and(X0,X1),and(X0,X2)),
inference(superposition,[],[f3054,f1709]) ).
fof(f16178,plain,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(and(X1,X0),and(X1,X2)),
inference(superposition,[],[f3054,f1388]) ).
fof(f16348,plain,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(X1,and(X2,and(X1,X0))),
inference(forward_demodulation,[],[f16178,f2950]) ).
fof(f16349,plain,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(X0,and(X2,and(X0,X1))),
inference(forward_demodulation,[],[f16177,f2950]) ).
fof(f16366,plain,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(X0,and(X2,X1)),
inference(forward_demodulation,[],[f16348,f3365]) ).
fof(f16367,plain,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(X1,and(X2,X0)),
inference(forward_demodulation,[],[f16349,f3365]) ).
fof(f16490,plain,
! [X2,X0,X1] : implies(and(X0,X2),X1) = not(and(X0,and(not(X1),X2))),
inference(superposition,[],[f159,f16366]) ).
fof(f16712,plain,
! [X2,X0,X1] : not(and(X2,and(X0,not(X1)))) = implies(and(X2,X0),X1),
inference(superposition,[],[f16490,f685]) ).
fof(f17131,plain,
! [X2,X0,X1] : implies(and(X1,X0),X2) = implies(and(X0,X1),X2),
inference(superposition,[],[f3067,f16712]) ).
fof(f17510,plain,
! [X2,X0,X1] : strict_implies(and(X1,X0),X2) = necessarily(implies(and(X0,X1),X2)),
inference(superposition,[],[f148,f17131]) ).
fof(f17572,plain,
! [X2,X0,X1] : strict_implies(and(X0,X1),X2) = strict_implies(and(X1,X0),X2),
inference(forward_demodulation,[],[f17510,f148]) ).
fof(f19645,plain,
! [X2,X3,X0,X1] : strict_implies(and(X0,and(X1,X2)),X3) = strict_implies(and(X1,and(X2,X0)),X3),
inference(superposition,[],[f17572,f16367]) ).
fof(f19660,plain,
! [X2,X0,X1] : implies(and(X2,X0),X1) = implies(and(X0,and(not(X1),X2)),X1),
inference(superposition,[],[f1592,f16367]) ).
fof(f19661,plain,
! [X2,X0,X1] : strict_implies(and(X2,X0),X1) = strict_implies(and(X0,and(not(X1),X2)),X1),
inference(superposition,[],[f1639,f16367]) ).
fof(f27764,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(and(not(X0),implies(X1,X1))),X0)),
inference(superposition,[],[f6383,f1604]) ).
fof(f27773,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,and(X0,implies(X1,X1)))),
inference(superposition,[],[f6383,f1639]) ).
fof(f27829,plain,
! [X0,X1] : is_a_theorem(necessarily(or(and(not(X0),implies(X1,X1)),X0))),
inference(forward_demodulation,[],[f27764,f166]) ).
fof(f27900,plain,
! [X0,X1] : is_a_theorem(necessarily(or(X0,and(not(X0),implies(X1,X1))))),
inference(forward_demodulation,[],[f27829,f1018]) ).
fof(f27922,plain,
! [X0,X1] : is_a_theorem(necessarily(implies(implies(implies(X1,X1),X0),X0))),
inference(forward_demodulation,[],[f27900,f977]) ).
fof(f27934,plain,
! [X0,X1] : is_a_theorem(strict_implies(implies(implies(X1,X1),X0),X0)),
inference(forward_demodulation,[],[f27922,f148]) ).
fof(f27950,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(implies(X0,X0),implies(implies(X1,X1),X2)),X2)),
inference(unit_resulting_resolution,[],[f257,f27934,f27934]) ).
fof(f28127,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,implies(implies(X1,X1),X0)))
| is_a_theorem(strict_equiv(X0,implies(implies(X1,X1),X0))) ),
inference(resolution,[],[f27934,f215]) ).
fof(f34994,plain,
! [X0,X1] : is_a_theorem(strict_equiv(X0,and(X0,implies(X1,X1)))),
inference(resolution,[],[f27773,f231]) ).
fof(f36596,plain,
! [X0,X1] : and(X0,implies(X1,X1)) = X0,
inference(resolution,[],[f34994,f155]) ).
fof(f37762,plain,
! [X0,X1] : and(implies(X1,X1),X0) = X0,
inference(superposition,[],[f1525,f36596]) ).
fof(f37845,plain,
! [X0,X1] : not(not(X0)) = implies(implies(X1,X1),X0),
inference(superposition,[],[f941,f36596]) ).
fof(f37913,plain,
! [X2,X0] : is_a_theorem(strict_implies(implies(implies(X0,X0),not(not(X2))),X2)),
inference(backward_demodulation,[],[f27950,f37845]) ).
fof(f37963,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,not(not(X0))))
| is_a_theorem(strict_equiv(X0,implies(implies(X1,X1),X0))) ),
inference(backward_demodulation,[],[f28127,f37845]) ).
fof(f38383,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(X0,not(not(X0))))
| is_a_theorem(strict_equiv(X0,not(not(X0)))) ),
inference(forward_demodulation,[],[f37963,f37845]) ).
fof(f38431,plain,
! [X2] : is_a_theorem(strict_implies(not(not(not(not(X2)))),X2)),
inference(forward_demodulation,[],[f37913,f37845]) ).
fof(f38737,plain,
! [X2] : is_a_theorem(necessarily(or(not(not(not(X2))),X2))),
inference(forward_demodulation,[],[f38431,f166]) ).
fof(f38949,plain,
! [X2] : is_a_theorem(necessarily(or(X2,not(not(not(X2)))))),
inference(forward_demodulation,[],[f38737,f1018]) ).
fof(f54943,plain,
! [X0] :
( ~ is_a_theorem(necessarily(or(X0,not(not(not(X0))))))
| is_a_theorem(strict_equiv(not(X0),not(not(not(X0))))) ),
inference(superposition,[],[f38383,f166]) ).
fof(f54956,plain,
! [X0] : is_a_theorem(strict_equiv(not(X0),not(not(not(X0))))),
inference(forward_subsumption_resolution,[],[f54943,f38949]) ).
fof(f55073,plain,
! [X0] : not(X0) = not(not(not(X0))),
inference(resolution,[],[f54956,f155]) ).
fof(f55533,plain,
! [X0,X1] : strict_implies(X1,not(not(X0))) = strict_implies(and(X1,not(X0)),not(not(X0))),
inference(superposition,[],[f1639,f55073]) ).
fof(f55547,plain,
! [X2,X0,X1] : strict_implies(and(not(X0),X1),X2) = strict_implies(and(X1,not(X2)),not(not(X0))),
inference(superposition,[],[f3883,f55073]) ).
fof(f55623,plain,
! [X0,X1] : strict_implies(and(not(X0),X1),X0) = strict_implies(X1,not(not(X0))),
inference(forward_demodulation,[],[f55533,f55547]) ).
fof(f55857,plain,
! [X0,X1] : strict_implies(X1,X0) = strict_implies(X1,not(not(X0))),
inference(forward_demodulation,[],[f55623,f1604]) ).
fof(f55910,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(X0,X0))
| is_a_theorem(strict_equiv(X0,not(not(X0)))) ),
inference(backward_demodulation,[],[f38383,f55857]) ).
fof(f55938,plain,
! [X0] : is_a_theorem(strict_equiv(X0,not(not(X0)))),
inference(forward_subsumption_resolution,[],[f55910,f275]) ).
fof(f57629,plain,
! [X0] : not(not(X0)) = X0,
inference(resolution,[],[f55938,f155]) ).
fof(f57659,plain,
! [X0,X1] : implies(implies(X1,X1),X0) = X0,
inference(backward_demodulation,[],[f37845,f57629]) ).
fof(f58102,plain,
! [X2,X0,X1] : and(X0,not(X1)) = not(and(implies(X0,X1),implies(X2,X2))),
inference(superposition,[],[f960,f57659]) ).
fof(f58103,plain,
! [X2,X0,X1] : and(not(X0),X1) = not(and(implies(X2,X2),implies(X1,X0))),
inference(superposition,[],[f970,f57659]) ).
fof(f58104,plain,
! [X0,X1] : and(not(X0),X1) = not(implies(X1,X0)),
inference(forward_demodulation,[],[f58103,f37762]) ).
fof(f58105,plain,
! [X0,X1] : and(X0,not(X1)) = not(implies(X0,X1)),
inference(forward_demodulation,[],[f58102,f36596]) ).
fof(f58189,plain,
! [X2,X0,X1] : implies(and(X0,X2),X1) = not(and(X0,not(implies(X2,X1)))),
inference(backward_demodulation,[],[f16490,f58104]) ).
fof(f58241,plain,
! [X2,X0,X1] : implies(and(X2,X0),X1) = implies(and(X0,not(implies(X2,X1))),X1),
inference(backward_demodulation,[],[f19660,f58104]) ).
fof(f58242,plain,
! [X2,X0,X1] : strict_implies(and(X2,X0),X1) = strict_implies(and(X0,not(implies(X2,X1))),X1),
inference(backward_demodulation,[],[f19661,f58104]) ).
fof(f59531,plain,
! [X2,X0,X1] : strict_implies(and(X2,X0),X1) = strict_implies(not(implies(X0,implies(X2,X1))),X1),
inference(forward_demodulation,[],[f58242,f58105]) ).
fof(f59532,plain,
! [X2,X0,X1] : implies(and(X2,X0),X1) = implies(not(implies(X0,implies(X2,X1))),X1),
inference(forward_demodulation,[],[f58241,f58105]) ).
fof(f59583,plain,
! [X2,X0,X1] : implies(and(X0,X2),X1) = not(not(implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f58189,f58105]) ).
fof(f60239,plain,
! [X2,X0,X1] : strict_implies(and(X2,X0),X1) = necessarily(or(implies(X0,implies(X2,X1)),X1)),
inference(forward_demodulation,[],[f59531,f166]) ).
fof(f60240,plain,
! [X2,X0,X1] : implies(and(X2,X0),X1) = or(implies(X0,implies(X2,X1)),X1),
inference(forward_demodulation,[],[f59532,f163]) ).
fof(f60289,plain,
! [X2,X0,X1] : implies(and(X0,X2),X1) = implies(X0,implies(X2,X1)),
inference(forward_demodulation,[],[f59583,f57629]) ).
fof(f60636,plain,
! [X2,X0,X1] : strict_implies(and(X2,X0),X1) = necessarily(or(X1,implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f60239,f1018]) ).
fof(f60637,plain,
! [X2,X0,X1] : implies(and(X2,X0),X1) = or(X1,implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f60240,f979]) ).
fof(f61663,plain,
! [X2,X0,X1] : implies(X2,implies(X0,X1)) = or(X1,implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f60637,f60289]) ).
fof(f62145,plain,
! [X2,X0,X1] : strict_implies(and(X2,X0),X1) = necessarily(implies(X2,implies(X0,X1))),
inference(backward_demodulation,[],[f60636,f61663]) ).
fof(f62400,plain,
! [X2,X0,X1] : strict_implies(and(X2,X0),X1) = strict_implies(X2,implies(X0,X1)),
inference(forward_demodulation,[],[f62145,f148]) ).
fof(f62751,plain,
! [X2,X3,X0,X1] : strict_implies(and(X1,and(X2,X0)),X3) = strict_implies(X0,implies(and(X1,X2),X3)),
inference(backward_demodulation,[],[f19645,f62400]) ).
fof(f63193,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(X1,implies(and(X0,X2),and(X1,X0)))),
inference(backward_demodulation,[],[f3123,f62400]) ).
fof(f63622,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(X1,implies(X0,implies(X2,and(X1,X0))))),
inference(forward_demodulation,[],[f63193,f60289]) ).
fof(f63981,plain,
! [X2,X3,X0,X1] : strict_implies(and(X1,and(X2,X0)),X3) = strict_implies(X0,implies(X1,implies(X2,X3))),
inference(forward_demodulation,[],[f62751,f60289]) ).
fof(f64344,plain,
! [X2,X3,X0,X1] : strict_implies(X0,implies(X1,implies(X2,X3))) = strict_implies(X1,implies(and(X2,X0),X3)),
inference(forward_demodulation,[],[f63981,f62400]) ).
fof(f64528,plain,
! [X2,X3,X0,X1] : strict_implies(X0,implies(X1,implies(X2,X3))) = strict_implies(X1,implies(X2,implies(X0,X3))),
inference(forward_demodulation,[],[f64344,f60289]) ).
fof(f64592,plain,
! [X0,X1] : ~ is_a_theorem(strict_implies(sK0,implies(sK1,implies(strict_equiv(strict_implies(X0,X0),strict_implies(X1,X1)),and(sK0,sK1))))),
inference(backward_demodulation,[],[f8298,f64528]) ).
fof(f64696,plain,
$false,
inference(forward_subsumption_resolution,[],[f64592,f63622]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL557+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 16:01:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.75/2.16 % (2588289)Detected formulas, will run a generic FOF schedule.
% 10.75/2.16 % (2588295)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=3019504790:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.75/2.16 % (2588296)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=380407196:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.75/2.16 % (2588299)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4175065720:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.75/2.16 % (2588294)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=3369712689:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.75/2.16 % (2588300)dis-21_1_sil=8000:lcm=predicate:random_seed=660746879:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.75/2.16 % (2588297)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3802880471:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.75/2.16 % (2588298)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3428922084:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.75/2.16 % (2588298)Refutation not found, incomplete strategy
% 10.75/2.16 % (2588298)------------------------------
% 10.75/2.16 % (2588298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.16 % (2588298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.16 % (2588298)CaDiCaL version: 2.1.3
% 10.75/2.16 % (2588298)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.16 % (2588298)Time elapsed: 0.001 s
% 10.75/2.16 % (2588297)Refutation not found, incomplete strategy
% 10.75/2.16 % (2588297)------------------------------
% 10.75/2.16 % (2588297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.16 % (2588298)Peak memory usage: 86 MB
% 10.75/2.16 % (2588297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.17 % (2588297)CaDiCaL version: 2.1.3
% 10.75/2.17 % (2588297)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.17 % (2588297)Time elapsed: 0.001 s
% 10.75/2.17 % (2588297)Peak memory usage: 87 MB
% 10.75/2.17 % (2588300)Refutation not found, incomplete strategy
% 10.75/2.17 % (2588300)------------------------------
% 10.75/2.17 % (2588300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.17 % (2588300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.17 % (2588300)CaDiCaL version: 2.1.3
% 10.75/2.17 % (2588300)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.17 % (2588300)Time elapsed: 0.001 s
% 10.75/2.17 % (2588300)Peak memory usage: 88 MB
% 10.75/2.17 % (2588300)Instructions burned: 1 (million)
% 10.75/2.17 % (2588299)Instruction limit reached!
% 10.75/2.17 % (2588299)------------------------------
% 10.75/2.17 % (2588299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.17 % (2588299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.17 % (2588299)CaDiCaL version: 2.1.3
% 10.75/2.17 % (2588299)Termination reason: Instruction limit
% 10.75/2.17 % (2588299)Termination phase: Saturation
% 10.75/2.17 % (2588299)Time elapsed: 0.088 s
% 10.75/2.17 % (2588299)Peak memory usage: 90 MB
% 10.75/2.17 % (2588299)Instructions burned: 141 (million)
% 10.75/2.17 % (2588297)------------------------------
% 10.75/2.17 % (2588297)------------------------------
% 10.75/2.17 % (2588298)------------------------------
% 10.75/2.17 % (2588298)------------------------------
% 10.75/2.17 % (2588300)------------------------------
% 10.75/2.17 % (2588300)------------------------------
% 10.75/2.17 % (2588308)lrs+10_1_sil=8000:sp=occurrence:random_seed=4034207613:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.75/2.17 % (2588308)Refutation not found, incomplete strategy
% 10.75/2.17 % (2588308)------------------------------
% 10.75/2.17 % (2588308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.17 % (2588308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.17 % (2588308)CaDiCaL version: 2.1.3
% 10.75/2.17 % (2588308)Termination reason: Refutation not found, incomplete strategy
% 11.07/2.27 % (2588308)Time elapsed: 0.001 s
% 11.07/2.27 % (2588308)Peak memory usage: 87 MB
% 11.07/2.27 % (2588309)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1430678975:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 11.07/2.27 % (2588309)Refutation not found, incomplete strategy
% 11.07/2.27 % (2588309)------------------------------
% 11.07/2.27 % (2588309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.27 % (2588309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.27 % (2588309)CaDiCaL version: 2.1.3
% 11.07/2.27 % (2588309)Termination reason: Refutation not found, incomplete strategy
% 11.07/2.27 % (2588309)Time elapsed: 0.001 s
% 11.07/2.27 % (2588309)Peak memory usage: 87 MB
% 11.07/2.27 % (2588312)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=115830156:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.07/2.27 % (2588310)lrs+1011_1_sil=32000:sp=occurrence:random_seed=213574136:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.07/2.27 % (2588310)Refutation not found, incomplete strategy
% 11.07/2.27 % (2588310)------------------------------
% 11.07/2.27 % (2588310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.27 % (2588310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.27 % (2588310)CaDiCaL version: 2.1.3
% 11.07/2.27 % (2588310)Termination reason: Refutation not found, incomplete strategy
% 11.07/2.27 % (2588310)Time elapsed: 0.001 s
% 11.07/2.27 % (2588310)Peak memory usage: 87 MB
% 11.07/2.27 % (2588308)------------------------------
% 11.07/2.27 % (2588308)------------------------------
% 11.07/2.27 % (2588309)------------------------------
% 11.07/2.27 % (2588309)------------------------------
% 11.07/2.27 % (2588312)Instruction limit reached!
% 11.07/2.27 % (2588312)------------------------------
% 11.07/2.27 % (2588312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.27 % (2588312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.27 % (2588312)CaDiCaL version: 2.1.3
% 11.07/2.27 % (2588312)Termination reason: Instruction limit
% 11.07/2.28 % (2588312)Termination phase: Saturation
% 11.07/2.28 % (2588312)Time elapsed: 0.147 s
% 11.07/2.28 % (2588312)Peak memory usage: 92 MB
% 11.07/2.28 % (2588312)Instructions burned: 249 (million)
% 11.07/2.28 % (2588296)Refutation not found, incomplete strategy
% 11.07/2.28 % (2588296)------------------------------
% 11.07/2.28 % (2588296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.28 % (2588296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.28 % (2588296)CaDiCaL version: 2.1.3
% 11.07/2.28 % (2588296)Termination reason: Refutation not found, incomplete strategy
% 11.07/2.28 % (2588296)Time elapsed: 0.558 s
% 11.07/2.28 % (2588296)Peak memory usage: 126 MB
% 11.07/2.28 % (2588296)Instructions burned: 830 (million)
% 11.07/2.28 % (2588317)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=326252155:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.07/2.28 % (2588310)------------------------------
% 11.07/2.28 % (2588310)------------------------------
% 11.07/2.28 % (2588316)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=935824382:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.07/2.28 % (2588316)Refutation not found, incomplete strategy
% 11.07/2.28 % (2588316)------------------------------
% 11.07/2.28 % (2588316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.28 % (2588316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.28 % (2588316)CaDiCaL version: 2.1.3
% 11.07/2.28 % (2588316)Termination reason: Refutation not found, incomplete strategy
% 11.07/2.28 % (2588316)Time elapsed: 0.001 s
% 11.07/2.28 % (2588316)Peak memory usage: 87 MB
% 11.07/2.28 % (2588318)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1302339159:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.07/2.28 % (2588318)Refutation not found, incomplete strategy
% 11.07/2.28 % (2588318)------------------------------
% 11.07/2.28 % (2588318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.28 % (2588318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.28 % (2588318)CaDiCaL version: 2.1.3
% 11.07/2.28 % (2588318)Termination reason: Refutation not found, incomplete strategy
% 13.43/2.60 % (2588318)Time elapsed: 0.001 s
% 13.43/2.60 % (2588318)Peak memory usage: 88 MB
% 13.43/2.60 % (2588296)------------------------------
% 13.43/2.60 % (2588296)------------------------------
% 13.43/2.60 % (2588321)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1032937501:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 13.43/2.60 % (2588321)Instruction limit reached!
% 13.43/2.60 % (2588321)------------------------------
% 13.43/2.60 % (2588321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.60 % (2588321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.60 % (2588321)CaDiCaL version: 2.1.3
% 13.43/2.60 % (2588321)Termination reason: Instruction limit
% 13.43/2.60 % (2588321)Termination phase: Saturation
% 13.43/2.60 % (2588321)Time elapsed: 0.068 s
% 13.43/2.60 % (2588321)Peak memory usage: 88 MB
% 13.43/2.60 % (2588321)Instructions burned: 128 (million)
% 13.43/2.60 % (2588316)------------------------------
% 13.43/2.60 % (2588316)------------------------------
% 13.43/2.60 % (2588318)------------------------------
% 13.43/2.60 % (2588318)------------------------------
% 13.43/2.60 % (2588323)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1287223214:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 13.43/2.60 % (2588323)Refutation not found, incomplete strategy
% 13.43/2.60 % (2588323)------------------------------
% 13.43/2.60 % (2588323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.60 % (2588323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.60 % (2588323)CaDiCaL version: 2.1.3
% 13.43/2.60 % (2588323)Termination reason: Refutation not found, incomplete strategy
% 13.43/2.60 % (2588323)Time elapsed: 0.001 s
% 13.43/2.60 % (2588323)Peak memory usage: 87 MB
% 13.43/2.60 % (2588326)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4211604158:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 13.43/2.60 % (2588326)Refutation not found, incomplete strategy
% 13.43/2.60 % (2588326)------------------------------
% 13.43/2.60 % (2588326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.60 % (2588326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.60 % (2588326)CaDiCaL version: 2.1.3
% 13.43/2.60 % (2588326)Termination reason: Refutation not found, incomplete strategy
% 13.43/2.60 % (2588326)Time elapsed: 0.001 s
% 13.43/2.60 % (2588326)Peak memory usage: 88 MB
% 13.43/2.60 % (2588325)lrs+10_1_sil=8000:sp=occurrence:random_seed=3479003677:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 13.43/2.60 % (2588325)Refutation not found, incomplete strategy
% 13.43/2.60 % (2588325)------------------------------
% 13.43/2.60 % (2588325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.60 % (2588325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.60 % (2588325)CaDiCaL version: 2.1.3
% 13.43/2.60 % (2588325)Termination reason: Refutation not found, incomplete strategy
% 13.43/2.60 % (2588325)Time elapsed: 0.001 s
% 13.43/2.60 % (2588325)Peak memory usage: 87 MB
% 13.43/2.60 % (2588327)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3753598676:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 13.43/2.60 % (2588326)------------------------------
% 13.43/2.60 % (2588326)------------------------------
% 13.43/2.60 % (2588323)------------------------------
% 13.43/2.60 % (2588323)------------------------------
% 13.43/2.60 % (2588325)------------------------------
% 13.43/2.60 % (2588325)------------------------------
% 13.43/2.60 % (2588332)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2133169380:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 13.43/2.60 % (2588332)Refutation not found, incomplete strategy
% 13.43/2.60 % (2588332)------------------------------
% 13.43/2.60 % (2588332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.60 % (2588332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.60 % (2588332)CaDiCaL version: 2.1.3
% 13.43/2.60 % (2588332)Termination reason: Refutation not found, incomplete strategy
% 13.43/2.60 % (2588332)Time elapsed: 0.001 s
% 13.43/2.60 % (2588332)Peak memory usage: 89 MB
% 13.43/2.60 % (2588333)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3018799480:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 11.74/2.79 % (2588333)Refutation not found, incomplete strategy
% 11.74/2.79 % (2588333)------------------------------
% 11.74/2.79 % (2588333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.79 % (2588333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.79 % (2588333)CaDiCaL version: 2.1.3
% 11.74/2.79 % (2588333)Termination reason: Refutation not found, incomplete strategy
% 11.74/2.79 % (2588333)Time elapsed: 0.001 s
% 11.74/2.79 % (2588333)Peak memory usage: 88 MB
% 11.74/2.79 % (2588334)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3383893798:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 11.74/2.79 % (2588332)------------------------------
% 11.74/2.79 % (2588332)------------------------------
% 11.74/2.79 [W927 16:01:02.013680769 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013738056 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013778553 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013792343 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013819053 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013831139 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013857273 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013869216 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013894859 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013907033 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.
% 11.74/2.79 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.74/2.79 [W927 16:01:02.013933593 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.
% 18.20/3.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.20/3.25 [W927 16:01:02.013945576 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.
% 18.20/3.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.20/3.25 % (2588338)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=2036903025:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 18.20/3.25 % (2588338)Refutation not found, incomplete strategy
% 18.20/3.25 % (2588338)------------------------------
% 18.20/3.25 % (2588338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.20/3.25 % (2588338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.20/3.25 % (2588338)CaDiCaL version: 2.1.3
% 18.20/3.25 % (2588338)Termination reason: Refutation not found, incomplete strategy
% 18.20/3.25 % (2588338)Time elapsed: 0.001 s
% 18.20/3.25 % (2588338)Peak memory usage: 87 MB
% 18.20/3.25 % (2588338)Instructions burned: 1 (million)
% 18.20/3.25 % (2588333)------------------------------
% 18.20/3.25 % (2588333)------------------------------
% 18.20/3.25 % (2588327)Refutation not found, incomplete strategy
% 18.20/3.25 % (2588327)------------------------------
% 18.20/3.25 % (2588327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.20/3.25 % (2588327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.20/3.25 % (2588327)CaDiCaL version: 2.1.3
% 18.20/3.25 % (2588327)Termination reason: Refutation not found, incomplete strategy
% 18.20/3.25 % (2588327)Time elapsed: 0.558 s
% 18.20/3.25 % (2588327)Peak memory usage: 126 MB
% 18.20/3.25 % (2588327)Instructions burned: 827 (million)
% 18.20/3.25 % (2588338)------------------------------
% 18.20/3.25 % (2588338)------------------------------
% 18.20/3.25 % (2588340)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2618158311:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 18.20/3.25 [W927 16:01:02.340641450 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.
% 18.20/3.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.20/3.25 [W927 16:01:02.340686877 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.
% 18.20/3.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.20/3.25 [W927 16:01:02.340726534 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.
% 18.20/3.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.20/3.25 [W927 16:01:02.340739270 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.
% 18.20/3.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.20/3.25 [W927 16:01:02.340767117 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.
% 18.20/3.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.20/3.25 [W927 16:01:02.340779677 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.
% 18.20/3.25 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.20/3.25 [W927 16:01:02.340807577 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.
% 35.16/5.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.16/5.62 [W927 16:01:02.340819424 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.
% 35.16/5.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.16/5.62 [W927 16:01:02.340850031 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.
% 35.16/5.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.16/5.62 [W927 16:01:02.340860921 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.
% 35.16/5.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.16/5.62 [W927 16:01:02.340885444 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.
% 35.16/5.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.16/5.62 [W927 16:01:02.340895951 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.
% 35.16/5.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 35.16/5.62 % (2588341)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3274385690:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 35.16/5.62 % (2588341)Refutation not found, incomplete strategy
% 35.16/5.62 % (2588341)------------------------------
% 35.16/5.62 % (2588341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.16/5.62 % (2588341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.16/5.62 % (2588341)CaDiCaL version: 2.1.3
% 35.16/5.62 % (2588341)Termination reason: Refutation not found, incomplete strategy
% 35.16/5.62 % (2588341)Time elapsed: 0.0000 s
% 35.16/5.62 % (2588341)Peak memory usage: 87 MB
% 35.16/5.62 % (2588340)Instruction limit reached!
% 35.16/5.62 % (2588340)------------------------------
% 35.16/5.62 % (2588340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.16/5.62 % (2588340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.16/5.62 % (2588340)CaDiCaL version: 2.1.3
% 35.16/5.62 % (2588340)Termination reason: Instruction limit
% 35.16/5.62 % (2588340)Termination phase: Saturation
% 35.16/5.62 % (2588340)Time elapsed: 0.088 s
% 35.16/5.62 % (2588340)Peak memory usage: 89 MB
% 35.16/5.62 % (2588340)Instructions burned: 134 (million)
% 35.16/5.62 % (2588317)Instruction limit reached!
% 35.16/5.62 % (2588317)------------------------------
% 35.16/5.62 % (2588317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.16/5.62 % (2588317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.16/5.62 % (2588317)CaDiCaL version: 2.1.3
% 35.16/5.62 % (2588317)Termination reason: Instruction limit
% 35.16/5.62 % (2588317)Termination phase: Saturation
% 35.16/5.62 % (2588317)Time elapsed: 1.298 s
% 35.16/5.62 % (2588317)Peak memory usage: 141 MB
% 35.16/5.62 % (2588317)Instructions burned: 2351 (million)
% 35.16/5.62 % (2588327)------------------------------
% 35.16/5.62 % (2588327)------------------------------
% 35.16/5.62 % (2588334)Refutation not found, incomplete strategy
% 35.16/5.62 % (2588334)------------------------------
% 35.16/5.62 % (2588334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.16/5.62 % (2588334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.16/5.62 % (2588334)CaDiCaL version: 2.1.3
% 35.16/5.62 % (2588334)Termination reason: Refutation not found, incomplete strategy
% 35.16/5.62 % (2588334)Time elapsed: 0.558 s
% 35.16/5.62 % (2588334)Peak memory usage: 126 MB
% 35.16/5.62 % (2588334)Instructions burned: 822 (million)
% 35.16/5.62 % (2588341)------------------------------
% 35.16/5.62 % (2588341)------------------------------
% 40.44/6.36 % (2588344)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2669742284:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 40.44/6.36 % (2588345)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=3257832261:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 40.44/6.36 % (2588344)Refutation not found, incomplete strategy
% 40.44/6.36 % (2588344)------------------------------
% 40.44/6.36 % (2588344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/6.36 % (2588344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/6.36 % (2588344)CaDiCaL version: 2.1.3
% 40.44/6.36 % (2588344)Termination reason: Refutation not found, incomplete strategy
% 40.44/6.36 % (2588344)Time elapsed: 0.001 s
% 40.44/6.36 % (2588344)Peak memory usage: 87 MB
% 40.44/6.36 % (2588346)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=2574892637:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 40.44/6.36 % (2588347)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3761170920:i=14155:bd=all_2978 on theBenchmark for (2978ds/14155Mi)
% 40.44/6.36 % (2588346)Instruction limit reached!
% 40.44/6.36 % (2588346)------------------------------
% 40.44/6.36 % (2588346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/6.36 % (2588346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/6.36 % (2588346)CaDiCaL version: 2.1.3
% 40.44/6.36 % (2588346)Termination reason: Instruction limit
% 40.44/6.36 % (2588346)Termination phase: Saturation
% 40.44/6.36 % (2588346)Time elapsed: 0.091 s
% 40.44/6.36 % (2588346)Peak memory usage: 90 MB
% 40.44/6.36 % (2588346)Instructions burned: 151 (million)
% 40.44/6.36 % (2588334)------------------------------
% 40.44/6.36 % (2588334)------------------------------
% 40.44/6.36 % (2588344)------------------------------
% 40.44/6.36 % (2588344)------------------------------
% 40.44/6.36 % (2588352)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3959552348:i=667:av=off:fsr=off_2976 on theBenchmark for (2976ds/667Mi)
% 40.44/6.36 % (2588352)Refutation not found, incomplete strategy
% 40.44/6.36 % (2588352)------------------------------
% 40.44/6.36 % (2588352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/6.36 % (2588352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/6.36 % (2588352)CaDiCaL version: 2.1.3
% 40.44/6.36 % (2588352)Termination reason: Refutation not found, incomplete strategy
% 40.44/6.36 % (2588352)Time elapsed: 0.002 s
% 40.44/6.36 % (2588352)Peak memory usage: 88 MB
% 40.44/6.36 % (2588352)Instructions burned: 1 (million)
% 40.44/6.36 % (2588353)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=1808873502:s2a=on:i=185:s2at=1.8:fdi=4_2975 on theBenchmark for (2975ds/185Mi)
% 40.44/6.36 % (2588353)Instruction limit reached!
% 40.44/6.36 % (2588353)------------------------------
% 40.44/6.36 % (2588353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/6.36 % (2588353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/6.36 % (2588353)CaDiCaL version: 2.1.3
% 40.44/6.36 % (2588353)Termination reason: Instruction limit
% 40.44/6.36 % (2588353)Termination phase: Saturation
% 40.44/6.36 % (2588353)Time elapsed: 0.054 s
% 40.44/6.36 % (2588353)Peak memory usage: 90 MB
% 40.44/6.36 % (2588353)Instructions burned: 187 (million)
% 40.44/6.36 % (2588354)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1090769248:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2975 on theBenchmark for (2975ds/193Mi)
% 40.44/6.36 % (2588354)Refutation not found, incomplete strategy
% 40.44/6.36 % (2588354)------------------------------
% 40.44/6.36 % (2588354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/6.36 % (2588354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/6.36 % (2588354)CaDiCaL version: 2.1.3
% 40.44/6.36 % (2588354)Termination reason: Refutation not found, incomplete strategy
% 40.44/6.36 % (2588354)Time elapsed: 0.001 s
% 40.44/6.36 % (2588354)Peak memory usage: 87 MB
% 42.65/6.78 % (2588352)------------------------------
% 42.65/6.78 % (2588352)------------------------------
% 42.65/6.78 % (2588357)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=119711790:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2974 on theBenchmark for (2974ds/4850Mi)
% 42.65/6.78 % (2588354)------------------------------
% 42.65/6.78 % (2588354)------------------------------
% 42.65/6.78 % (2588360)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3700661394:i=12111:sd=1:ss=included_2972 on theBenchmark for (2972ds/12111Mi)
% 42.65/6.78 % (2588361)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=303844762:i=319:kws=precedence:fsr=off_2971 on theBenchmark for (2971ds/319Mi)
% 42.65/6.78 % (2588361)Instruction limit reached!
% 42.65/6.78 % (2588361)------------------------------
% 42.65/6.78 % (2588361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.65/6.78 % (2588361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.65/6.78 % (2588361)CaDiCaL version: 2.1.3
% 42.65/6.78 % (2588361)Termination reason: Instruction limit
% 42.65/6.78 % (2588361)Termination phase: Saturation
% 42.65/6.78 % (2588361)Time elapsed: 0.199 s
% 42.65/6.78 % (2588361)Peak memory usage: 93 MB
% 42.65/6.78 % (2588361)Instructions burned: 321 (million)
% 42.65/6.78 % (2588364)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4121418271:i=2064:ep=RST_2967 on theBenchmark for (2967ds/2064Mi)
% 42.65/6.78 % (2588364)Refutation not found, incomplete strategy
% 42.65/6.78 % (2588364)------------------------------
% 42.65/6.78 % (2588364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.65/6.78 % (2588364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.65/6.78 % (2588364)CaDiCaL version: 2.1.3
% 42.65/6.78 % (2588364)Termination reason: Refutation not found, incomplete strategy
% 42.65/6.78 % (2588364)Time elapsed: 0.002 s
% 42.65/6.78 % (2588364)Peak memory usage: 88 MB
% 42.65/6.78 % (2588364)Instructions burned: 1 (million)
% 42.65/6.78 % (2588364)------------------------------
% 42.65/6.78 % (2588364)------------------------------
% 42.65/6.78 % (2588366)dis-1011_128_sil=32000:random_seed=1033000720:i=3706:ep=RST:av=off_2963 on theBenchmark for (2963ds/3706Mi)
% 42.65/6.78 % (2588357)Instruction limit reached!
% 42.65/6.78 % (2588357)------------------------------
% 42.65/6.78 % (2588357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.65/6.78 % (2588357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.65/6.78 % (2588357)CaDiCaL version: 2.1.3
% 42.65/6.78 % (2588357)Termination reason: Instruction limit
% 42.65/6.78 % (2588357)Termination phase: Saturation
% 42.65/6.78 % (2588357)Time elapsed: 1.644 s
% 42.65/6.78 % (2588357)Peak memory usage: 154 MB
% 42.65/6.78 % (2588357)Instructions burned: 4851 (million)
% 42.65/6.78 % (2588368)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3597328147:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2956 on theBenchmark for (2956ds/757Mi)
% 42.65/6.78 % (2588368)Refutation not found, incomplete strategy
% 42.65/6.78 % (2588368)------------------------------
% 42.65/6.78 % (2588368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.65/6.78 % (2588368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.65/6.78 % (2588368)CaDiCaL version: 2.1.3
% 42.65/6.78 % (2588368)Termination reason: Refutation not found, incomplete strategy
% 42.65/6.78 % (2588368)Time elapsed: 0.0000 s
% 42.65/6.78 % (2588368)Peak memory usage: 87 MB
% 42.65/6.78 % (2588368)------------------------------
% 42.65/6.78 % (2588368)------------------------------
% 42.65/6.78 % (2588370)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3465493262:i=13913:ss=axioms:sgt=8_2953 on theBenchmark for (2953ds/13913Mi)
% 42.65/6.78 [W927 16:01:05.361299898 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361321488 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361343607 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361355085 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361368579 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361374644 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361387941 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361393929 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361406954 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361413065 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361426205 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 [W927 16:01:05.361432258 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.
% 42.65/6.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 42.65/6.78 % (2588370)Refutation not found, incomplete strategy
% 42.65/6.78 % (2588370)------------------------------
% 42.65/6.78 % (2588370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.65/6.78 % (2588370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.65/6.78 % (2588370)CaDiCaL version: 2.1.3
% 42.65/6.78 % (2588370)Termination reason: Refutation not found, incomplete strategy
% 42.65/6.78 % (2588370)Time elapsed: 0.304 s
% 42.65/6.78 % (2588370)Peak memory usage: 126 MB
% 42.65/6.78 % (2588370)Instructions burned: 827 (million)
% 42.65/6.78 % (2588370)------------------------------
% 42.65/6.78 % (2588370)------------------------------
% 42.65/6.78 % (2588372)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3507828195:i=9925:aac=none_2947 on theBenchmark for (2947ds/9925Mi)
% 42.65/6.78 % (2588366)Instruction limit reached!
% 42.65/6.78 % (2588366)------------------------------
% 42.65/6.78 % (2588366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.65/6.78 % (2588345)Instruction limit reached!
% 42.65/6.78 % (2588345)------------------------------
% 42.65/6.78 % (2588345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.65/6.78 % (2588345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.65/6.78 % (2588345)CaDiCaL version: 2.1.3
% 42.65/6.78 % (2588366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.65/6.78 % (2588366)CaDiCaL version: 2.1.3
% 42.65/6.78 % (2588345)Termination reason: Instruction limit
% 42.65/6.78 % (2588345)Termination phase: Saturation
% 42.65/6.78 % (2588345)Time elapsed: 3.522 s
% 42.65/6.78 % (2588366)Termination reason: Instruction limit
% 42.65/6.78 % (2588366)Termination phase: Saturation
% 42.65/6.78 % (2588345)Peak memory usage: 149 MB
% 42.65/6.78 % (2588366)Time elapsed: 1.921 s
% 42.65/6.78 % (2588345)Instructions burned: 6062 (million)
% 42.65/6.78 % (2588366)Peak memory usage: 117 MB
% 42.65/6.78 % (2588366)Instructions burned: 3709 (million)
% 42.65/6.78 % (2588347)First to succeed.
% 42.65/6.78 % (2588347)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2588289"
% 42.65/6.78 % (2588375)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3787596008:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2942 on theBenchmark for (2942ds/440Mi)
% 42.65/6.78 % (2588374)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2941300884:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2942 on theBenchmark for (2942ds/2479Mi)
% 42.65/6.78 % (2588374)Refutation not found, incomplete strategy
% 42.65/6.78 % (2588374)------------------------------
% 42.65/6.78 % (2588374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.65/6.78 % (2588374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.65/6.78 % (2588374)CaDiCaL version: 2.1.3
% 42.65/6.78 % (2588374)Termination reason: Refutation not found, incomplete strategy
% 42.65/6.78 % (2588374)Time elapsed: 0.001 s
% 42.65/6.78 % (2588374)Peak memory usage: 87 MB
% 42.65/6.78 % (2588375)Instruction limit reached!
% 42.65/6.78 % (2588375)------------------------------
% 42.65/6.78 % (2588375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.65/6.78 % (2588375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.65/6.78 % (2588375)CaDiCaL version: 2.1.3
% 42.65/6.78 % (2588375)Termination reason: Instruction limit
% 42.65/6.78 % (2588375)Termination phase: Saturation
% 42.65/6.78 % (2588375)Time elapsed: 0.203 s
% 42.65/6.78 % (2588375)Peak memory usage: 93 MB
% 42.65/6.78 % (2588375)Instructions burned: 441 (million)
% 42.65/6.78 % (2588347)Refutation found. Thanks to Tanya!
% 42.65/6.78 % SZS status Theorem for theBenchmark
% 42.65/6.78 % SZS output start Proof for theBenchmark
% See solution above
% 43.92/6.97 % (2588347)------------------------------
% 43.92/6.97 % (2588347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.92/6.97 % (2588347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.92/6.97 % (2588347)CaDiCaL version: 2.1.3
% 43.92/6.97 % (2588347)Termination reason: Refutation
% 43.92/6.97 % (2588347)Time elapsed: 3.539 s
% 43.92/6.97 % (2588347)Peak memory usage: 166 MB
% 43.92/6.97 % (2588347)Instructions burned: 5855 (million)
% 43.92/6.97 % (2588347)------------------------------
% 43.92/6.97 % (2588347)------------------------------
% 43.92/6.97 % (2588289)Success in time 6.162 s
% 43.92/6.97 % Vampire exiting
%------------------------------------------------------------------------------