%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL574+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 : n008.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 11:53:05 AM UTC 2026
% Result : Theorem 136.64s 23.37s
% Output : Refutation 159.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 135
% Number of leaves : 35
% Syntax : Number of formulae : 706 ( 445 unt; 5 def)
% Number of atoms : 1026 ( 370 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 612 ( 292 ~; 280 |; 4 &)
% ( 15 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 21 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 1468 ( 0 sgn1467 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or) ).
fof(f3,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(f7,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(f8,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(f9,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(f12,axiom,
( axiom_4
<=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f19,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(f20,axiom,
( axiom_m2
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m2) ).
fof(f21,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(f22,axiom,
( axiom_m4
<=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m4) ).
fof(f23,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(f28,axiom,
( axiom_m10
<=> ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m10) ).
fof(f29,axiom,
( op_possibly
=> ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_possibly) ).
fof(f31,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(f32,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(f33,axiom,
op_possibly,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_possibly) ).
fof(f36,axiom,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
fof(f38,axiom,
op_strict_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_equiv) ).
fof(f39,axiom,
modus_ponens_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies) ).
fof(f40,axiom,
substitution_strict_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_substitution_strict_equiv) ).
fof(f41,axiom,
adjunction,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_adjunction) ).
fof(f42,axiom,
axiom_m1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m1) ).
fof(f43,axiom,
axiom_m2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m2) ).
fof(f44,axiom,
axiom_m3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m3) ).
fof(f45,axiom,
axiom_m4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m4) ).
fof(f46,axiom,
axiom_m5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m5) ).
fof(f47,axiom,
axiom_m10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_m10_axiom_m10) ).
fof(f48,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f49,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f52,conjecture,
axiom_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',km4b_axiom_4) ).
fof(f53,negated_conjecture,
~ axiom_4,
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f54,plain,
~ axiom_4,
inference(flattening,[],[f53]) ).
fof(f55,plain,
( axiom_m10
=> ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(unused_predicate_definition_removal,[],[f28]) ).
fof(f56,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,[],[f23]) ).
fof(f57,plain,
( axiom_m4
=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f58,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,[],[f21]) ).
fof(f59,plain,
( axiom_m2
=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f60,plain,
( axiom_m1
=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f61,plain,
( ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
=> axiom_4 ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f62,plain,
( substitution_strict_equiv
=> ! [X0,X1] :
( is_a_theorem(strict_equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f63,plain,
( adjunction
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(X1) )
=> is_a_theorem(and(X0,X1)) ) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f64,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,[],[f7]) ).
fof(f70,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f1]) ).
fof(f71,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f3]) ).
fof(f73,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,[],[f64]) ).
fof(f74,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(strict_implies(X0,X1)) )
| ~ modus_ponens_strict_implies ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ adjunction ),
inference(ennf_transformation,[],[f63]) ).
fof(f76,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ adjunction ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1)) )
| ~ substitution_strict_equiv ),
inference(ennf_transformation,[],[f62]) ).
fof(f78,plain,
( axiom_4
| ? [X0] : ~ is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
inference(ennf_transformation,[],[f61]) ).
fof(f79,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| ~ axiom_m1 ),
inference(ennf_transformation,[],[f60]) ).
fof(f80,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ axiom_m2 ),
inference(ennf_transformation,[],[f59]) ).
fof(f81,plain,
( ! [X0,X1,X2] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
| ~ axiom_m3 ),
inference(ennf_transformation,[],[f58]) ).
fof(f82,plain,
( ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))
| ~ axiom_m4 ),
inference(ennf_transformation,[],[f57]) ).
fof(f83,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,[],[f56]) ).
fof(f84,plain,
( ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_m10 ),
inference(ennf_transformation,[],[f55]) ).
fof(f85,plain,
( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(ennf_transformation,[],[f29]) ).
fof(f86,plain,
( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(ennf_transformation,[],[f31]) ).
fof(f87,plain,
( ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))
| ~ op_strict_equiv ),
inference(ennf_transformation,[],[f32]) ).
fof(f88,plain,
( axiom_4
| ~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f78]) ).
fof(f89,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f70]) ).
fof(f90,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f71]) ).
fof(f92,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,[],[f74]) ).
fof(f93,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ adjunction ),
inference(cnf_transformation,[],[f76]) ).
fof(f94,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1))
| ~ substitution_strict_equiv ),
inference(cnf_transformation,[],[f77]) ).
fof(f95,plain,
( axiom_4
| ~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f96,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| ~ axiom_m1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f97,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ axiom_m2 ),
inference(cnf_transformation,[],[f80]) ).
fof(f98,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
| ~ axiom_m3 ),
inference(cnf_transformation,[],[f81]) ).
fof(f99,plain,
! [X0] :
( is_a_theorem(strict_implies(X0,and(X0,X0)))
| ~ axiom_m4 ),
inference(cnf_transformation,[],[f82]) ).
fof(f100,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,[],[f83]) ).
fof(f101,plain,
! [X0] :
( is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_m10 ),
inference(cnf_transformation,[],[f84]) ).
fof(f102,plain,
! [X0] :
( possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(cnf_transformation,[],[f85]) ).
fof(f103,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[],[f86]) ).
fof(f104,plain,
! [X0,X1] :
( strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))
| ~ op_strict_equiv ),
inference(cnf_transformation,[],[f87]) ).
fof(f105,plain,
op_possibly,
inference(cnf_transformation,[],[f33]) ).
fof(f107,plain,
op_strict_implies,
inference(cnf_transformation,[],[f36]) ).
fof(f109,plain,
op_strict_equiv,
inference(cnf_transformation,[],[f38]) ).
fof(f110,plain,
modus_ponens_strict_implies,
inference(cnf_transformation,[],[f39]) ).
fof(f111,plain,
substitution_strict_equiv,
inference(cnf_transformation,[],[f40]) ).
fof(f112,plain,
adjunction,
inference(cnf_transformation,[],[f41]) ).
fof(f113,plain,
axiom_m1,
inference(cnf_transformation,[],[f42]) ).
fof(f114,plain,
axiom_m2,
inference(cnf_transformation,[],[f43]) ).
fof(f115,plain,
axiom_m3,
inference(cnf_transformation,[],[f44]) ).
fof(f116,plain,
axiom_m4,
inference(cnf_transformation,[],[f45]) ).
fof(f117,plain,
axiom_m5,
inference(cnf_transformation,[],[f46]) ).
fof(f118,plain,
axiom_m10,
inference(cnf_transformation,[],[f47]) ).
fof(f119,plain,
op_or,
inference(cnf_transformation,[],[f48]) ).
fof(f120,plain,
op_implies_and,
inference(cnf_transformation,[],[f49]) ).
fof(f122,plain,
~ axiom_4,
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)),
inference(forward_subsumption_resolution,[],[f104,f109]) ).
fof(f124,plain,
! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)),
inference(forward_subsumption_resolution,[],[f103,f107]) ).
fof(f125,plain,
! [X0] : possibly(X0) = not(necessarily(not(X0))),
inference(forward_subsumption_resolution,[],[f102,f105]) ).
fof(f126,plain,
! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))),
inference(forward_subsumption_resolution,[],[f101,f118]) ).
fof(f127,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,[],[f100,f117]) ).
fof(f128,plain,
! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))),
inference(forward_subsumption_resolution,[],[f99,f116]) ).
fof(f129,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))),
inference(forward_subsumption_resolution,[],[f98,f115]) ).
fof(f130,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)),
inference(forward_subsumption_resolution,[],[f97,f114]) ).
fof(f131,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))),
inference(forward_subsumption_resolution,[],[f96,f113]) ).
fof(f132,plain,
~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))),
inference(forward_subsumption_resolution,[],[f95,f122]) ).
fof(f133,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_equiv(X0,X1))
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f94,f111]) ).
fof(f134,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f93,f112]) ).
fof(f135,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f92,f110]) ).
fof(f137,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f90,f120]) ).
fof(f138,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f89,f119]) ).
fof(f139,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f138,f137]) ).
fof(f141,plain,
! [X2,X0,X1] : or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2),
inference(superposition,[],[f139,f137]) ).
fof(f142,plain,
! [X0,X1] : strict_implies(not(X0),X1) = necessarily(or(X0,X1)),
inference(superposition,[],[f124,f139]) ).
fof(f144,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,[],[f127,f135]) ).
fof(f145,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,[],[f144,f134]) ).
fof(f146,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,and(X1,X1)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f145,f128]) ).
fof(f149,plain,
! [X0] : possibly(necessarily(not(X0))) = not(necessarily(possibly(X0))),
inference(superposition,[],[f125,f125]) ).
fof(f151,plain,
! [X0,X1] : implies(X1,necessarily(not(X0))) = not(and(X1,possibly(X0))),
inference(superposition,[],[f137,f125]) ).
fof(f168,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,[],[f134,f123]) ).
fof(f175,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,[],[f168,f131]) ).
fof(f177,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X0,X1)))
| is_a_theorem(strict_equiv(X0,and(X0,X1))) ),
inference(resolution,[],[f168,f130]) ).
fof(f178,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,X1),and(X1,X0))),
inference(forward_subsumption_resolution,[],[f175,f131]) ).
fof(f185,plain,
! [X0] : is_a_theorem(strict_equiv(X0,and(X0,X0))),
inference(resolution,[],[f177,f128]) ).
fof(f219,plain,
! [X0,X1] : and(X0,X1) = and(X1,X0),
inference(resolution,[],[f133,f178]) ).
fof(f220,plain,
! [X0] : and(X0,X0) = X0,
inference(resolution,[],[f133,f185]) ).
fof(f231,plain,
! [X0] : is_a_theorem(strict_implies(X0,X0)),
inference(superposition,[],[f131,f220]) ).
fof(f237,plain,
! [X0] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[],[f137,f220]) ).
fof(f243,plain,
! [X0] : strict_implies(X0,X0) = strict_equiv(X0,X0),
inference(superposition,[],[f123,f220]) ).
fof(f245,plain,
! [X0] : not(not(X0)) = or(X0,X0),
inference(forward_demodulation,[],[f237,f139]) ).
fof(f279,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X1)),
inference(superposition,[],[f130,f219]) ).
fof(f287,plain,
! [X0,X1] : implies(X1,X0) = not(and(not(X0),X1)),
inference(superposition,[],[f137,f219]) ).
fof(f289,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X0,and(X1,X2)),and(X1,and(X2,X0)))),
inference(superposition,[],[f129,f219]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X1,X2)))
| is_a_theorem(strict_implies(X0,X2)) ),
inference(resolution,[],[f279,f145]) ).
fof(f321,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(superposition,[],[f137,f287]) ).
fof(f326,plain,
! [X0,X1] : implies(not(X0),X1) = or(X1,X0),
inference(forward_demodulation,[],[f321,f139]) ).
fof(f332,plain,
! [X0,X1] : or(X0,X1) = or(X1,X0),
inference(forward_demodulation,[],[f326,f139]) ).
fof(f335,plain,
! [X0,X1] : necessarily(or(X0,X1)) = strict_implies(not(X1),X0),
inference(superposition,[],[f142,f332]) ).
fof(f336,plain,
! [X0,X1] : strict_implies(not(X0),X1) = strict_implies(not(X1),X0),
inference(forward_demodulation,[],[f335,f142]) ).
fof(f341,plain,
! [X2,X0,X1] : strict_implies(not(X2),and(X0,not(X1))) = strict_implies(implies(X0,X1),X2),
inference(superposition,[],[f336,f137]) ).
fof(f342,plain,
! [X2,X0,X1] : strict_implies(implies(X0,X1),X2) = strict_implies(not(X2),and(not(X1),X0)),
inference(superposition,[],[f336,f287]) ).
fof(f343,plain,
! [X0,X1] : strict_implies(not(X1),necessarily(not(X0))) = strict_implies(possibly(X0),X1),
inference(superposition,[],[f336,f125]) ).
fof(f360,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| ~ is_a_theorem(not(X1))
| is_a_theorem(X0) ),
inference(superposition,[],[f135,f336]) ).
fof(f363,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,[],[f145,f336]) ).
fof(f364,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| ~ is_a_theorem(strict_implies(X0,not(X1)))
| is_a_theorem(strict_equiv(X0,not(X1))) ),
inference(superposition,[],[f168,f336]) ).
fof(f370,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,not(not(X1))))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f363,f231]) ).
fof(f380,plain,
! [X0] : is_a_theorem(strict_implies(not(not(X0)),X0)),
inference(resolution,[],[f370,f231]) ).
fof(f392,plain,
! [X0] : is_a_theorem(strict_implies(not(not(not(not(X0)))),X0)),
inference(resolution,[],[f380,f370]) ).
fof(f452,plain,
! [X0] : strict_implies(not(X0),X0) = necessarily(not(not(X0))),
inference(superposition,[],[f142,f245]) ).
fof(f471,plain,
! [X0] :
( is_a_theorem(necessarily(not(not(and(X0,X0)))))
| ~ is_a_theorem(strict_implies(not(and(X0,X0)),X0)) ),
inference(superposition,[],[f146,f452]) ).
fof(f472,plain,
! [X0] : possibly(not(X0)) = not(strict_implies(not(X0),X0)),
inference(superposition,[],[f125,f452]) ).
fof(f473,plain,
! [X0] :
( is_a_theorem(necessarily(not(not(X0))))
| ~ is_a_theorem(strict_implies(not(and(X0,X0)),X0)) ),
inference(forward_demodulation,[],[f471,f220]) ).
fof(f474,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(not(X0),X0))
| is_a_theorem(necessarily(not(not(X0)))) ),
inference(forward_demodulation,[],[f473,f220]) ).
fof(f624,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,[],[f392,f364]) ).
fof(f645,plain,
! [X0] : is_a_theorem(strict_equiv(not(not(not(X0))),not(X0))),
inference(forward_subsumption_resolution,[],[f624,f380]) ).
fof(f646,plain,
! [X0] : not(X0) = not(not(not(X0))),
inference(resolution,[],[f645,f133]) ).
fof(f653,plain,
! [X0,X1] : implies(X0,X1) = not(not(implies(X0,X1))),
inference(superposition,[],[f646,f287]) ).
fof(f654,plain,
! [X0] : possibly(X0) = not(not(possibly(X0))),
inference(superposition,[],[f646,f125]) ).
fof(f665,plain,
! [X0] : not(necessarily(not(X0))) = possibly(not(not(X0))),
inference(superposition,[],[f125,f646]) ).
fof(f668,plain,
! [X0,X1] : not(and(not(X0),X1)) = implies(X1,not(not(X0))),
inference(superposition,[],[f287,f646]) ).
fof(f670,plain,
! [X0,X1] : strict_implies(not(X0),X1) = strict_implies(not(X1),not(not(X0))),
inference(superposition,[],[f336,f646]) ).
fof(f674,plain,
! [X2,X0,X1] : strict_implies(implies(X1,X2),not(not(X0))) = strict_implies(not(X0),and(not(X2),X1)),
inference(superposition,[],[f342,f646]) ).
fof(f685,plain,
! [X2,X0,X1] : strict_implies(implies(X1,X2),X0) = strict_implies(implies(X1,X2),not(not(X0))),
inference(forward_demodulation,[],[f674,f342]) ).
fof(f689,plain,
! [X0,X1] : implies(X1,X0) = implies(X1,not(not(X0))),
inference(forward_demodulation,[],[f668,f287]) ).
fof(f692,plain,
! [X0] : possibly(X0) = possibly(not(not(X0))),
inference(forward_demodulation,[],[f665,f125]) ).
fof(f701,plain,
! [X0,X1] : not(necessarily(implies(X0,X1))) = possibly(not(implies(X0,X1))),
inference(superposition,[],[f125,f653]) ).
fof(f723,plain,
! [X0,X1] : not(strict_implies(X0,X1)) = possibly(not(implies(X0,X1))),
inference(forward_demodulation,[],[f701,f124]) ).
fof(f727,plain,
! [X0,X1] : implies(X1,necessarily(not(X0))) = implies(X1,not(possibly(X0))),
inference(superposition,[],[f689,f125]) ).
fof(f734,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,not(not(X1))),
inference(superposition,[],[f124,f689]) ).
fof(f735,plain,
! [X0,X1] : implies(not(X0),X1) = or(X0,not(not(X1))),
inference(superposition,[],[f139,f689]) ).
fof(f736,plain,
! [X0,X1] : or(X0,X1) = or(X0,not(not(X1))),
inference(forward_demodulation,[],[f735,f139]) ).
fof(f737,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(X0,not(not(X1))),
inference(forward_demodulation,[],[f734,f124]) ).
fof(f743,plain,
! [X0,X1] : not(and(X1,possibly(X0))) = implies(X1,not(possibly(X0))),
inference(forward_demodulation,[],[f727,f151]) ).
fof(f748,plain,
! [X2,X0,X1] : strict_implies(X2,not(implies(X0,X1))) = strict_implies(X2,and(X0,not(X1))),
inference(superposition,[],[f737,f137]) ).
fof(f749,plain,
! [X2,X0,X1] : strict_implies(X2,not(implies(X0,X1))) = strict_implies(X2,and(not(X1),X0)),
inference(superposition,[],[f737,f287]) ).
fof(f750,plain,
! [X0,X1] : strict_implies(X1,not(possibly(X0))) = strict_implies(X1,necessarily(not(X0))),
inference(superposition,[],[f737,f125]) ).
fof(f763,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(not(not(X1))) ),
inference(superposition,[],[f135,f737]) ).
fof(f767,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,[],[f168,f737]) ).
fof(f795,plain,
! [X2,X0,X1] : strict_implies(X2,and(X0,not(X1))) = strict_implies(X2,and(not(X1),X0)),
inference(forward_demodulation,[],[f748,f749]) ).
fof(f800,plain,
! [X0] : possibly(necessarily(not(X0))) = possibly(not(possibly(X0))),
inference(superposition,[],[f692,f125]) ).
fof(f804,plain,
! [X0] : not(necessarily(possibly(X0))) = possibly(not(possibly(X0))),
inference(forward_demodulation,[],[f800,f149]) ).
fof(f888,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(X0,X0))
| is_a_theorem(strict_equiv(not(not(X0)),X0)) ),
inference(resolution,[],[f767,f380]) ).
fof(f915,plain,
! [X0] : is_a_theorem(strict_equiv(not(not(X0)),X0)),
inference(forward_subsumption_resolution,[],[f888,f231]) ).
fof(f922,plain,
! [X0] : not(not(X0)) = X0,
inference(resolution,[],[f915,f133]) ).
fof(f936,plain,
! [X0,X1] : and(not(X1),X0) = not(implies(X0,X1)),
inference(superposition,[],[f922,f287]) ).
fof(f937,plain,
! [X0] : not(possibly(X0)) = necessarily(not(X0)),
inference(superposition,[],[f922,f125]) ).
fof(f943,plain,
! [X0] : necessarily(X0) = strict_implies(not(X0),X0),
inference(superposition,[],[f452,f922]) ).
fof(f954,plain,
! [X0] : possibly(not(X0)) = not(necessarily(X0)),
inference(superposition,[],[f125,f922]) ).
fof(f955,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X1,X0)),
inference(superposition,[],[f137,f922]) ).
fof(f956,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(superposition,[],[f139,f922]) ).
fof(f957,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X0,X1)),
inference(superposition,[],[f287,f922]) ).
fof(f965,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(not(X0),not(X1)))
| is_a_theorem(strict_equiv(not(X0),not(X1))) ),
inference(superposition,[],[f364,f922]) ).
fof(f971,plain,
! [X0] : necessarily(not(X0)) = strict_implies(X0,not(X0)),
inference(superposition,[],[f452,f922]) ).
fof(f972,plain,
! [X0] : possibly(X0) = not(strict_implies(X0,not(X0))),
inference(superposition,[],[f472,f922]) ).
fof(f976,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(not(X1),not(X0)),
inference(superposition,[],[f670,f922]) ).
fof(f984,plain,
! [X0,X1] :
( is_a_theorem(strict_equiv(not(X0),not(X1)))
| ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(forward_demodulation,[],[f965,f976]) ).
fof(f985,plain,
! [X0,X1] : not(and(X1,X0)) = not(and(X0,X1)),
inference(forward_demodulation,[],[f955,f957]) ).
fof(f1001,plain,
! [X0] : is_a_theorem(strict_implies(not(necessarily(X0)),necessarily(not(necessarily(X0))))),
inference(superposition,[],[f126,f954]) ).
fof(f1002,plain,
! [X0] : is_a_theorem(strict_implies(possibly(necessarily(X0)),necessarily(X0))),
inference(forward_demodulation,[],[f1001,f343]) ).
fof(f1029,plain,
! [X0] : strict_equiv(X0,not(X0)) = and(strict_implies(X0,not(X0)),necessarily(X0)),
inference(superposition,[],[f123,f943]) ).
fof(f1031,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(strict_implies(X1,not(X0)),necessarily(X0)),strict_implies(X1,X0))),
inference(superposition,[],[f127,f943]) ).
fof(f1045,plain,
! [X0] : strict_equiv(X0,not(X0)) = and(necessarily(not(X0)),necessarily(X0)),
inference(forward_demodulation,[],[f1029,f971]) ).
fof(f1063,plain,
! [X0] : strict_equiv(X0,not(X0)) = and(not(possibly(X0)),necessarily(X0)),
inference(forward_demodulation,[],[f1045,f937]) ).
fof(f1087,plain,
! [X2,X0,X1] : implies(X2,implies(X0,X1)) = not(and(and(not(X1),X0),X2)),
inference(superposition,[],[f957,f287]) ).
fof(f1097,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = necessarily(not(and(X0,X1))),
inference(superposition,[],[f124,f957]) ).
fof(f1098,plain,
! [X0,X1] : not(and(X0,not(X1))) = or(X1,not(X0)),
inference(superposition,[],[f139,f957]) ).
fof(f1099,plain,
! [X0,X1] : implies(X0,X1) = or(X1,not(X0)),
inference(forward_demodulation,[],[f1098,f137]) ).
fof(f1100,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = not(possibly(and(X0,X1))),
inference(forward_demodulation,[],[f1097,f937]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,possibly(necessarily(X1))))
| is_a_theorem(strict_implies(X0,necessarily(X1))) ),
inference(resolution,[],[f1002,f145]) ).
fof(f1258,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(and(X0,not(X1)),implies(X0,X1)),
inference(superposition,[],[f971,f137]) ).
fof(f1260,plain,
! [X0,X1] : necessarily(not(and(X0,X1))) = strict_implies(and(X1,X0),not(and(X0,X1))),
inference(superposition,[],[f971,f985]) ).
fof(f1303,plain,
! [X0,X1] : not(possibly(and(X0,X1))) = strict_implies(and(X1,X0),not(and(X0,X1))),
inference(forward_demodulation,[],[f1260,f937]) ).
fof(f1305,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(and(X0,not(X1)),implies(X0,X1)),
inference(forward_demodulation,[],[f1258,f124]) ).
fof(f1316,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = strict_implies(and(X1,X0),not(and(X0,X1))),
inference(forward_demodulation,[],[f1303,f1100]) ).
fof(f1341,plain,
! [X0,X1] : strict_implies(X0,not(X1)) = strict_implies(X1,not(X0)),
inference(superposition,[],[f976,f922]) ).
fof(f1351,plain,
! [X2,X0,X1] : strict_implies(not(X2),implies(X0,X1)) = strict_implies(and(X0,not(X1)),X2),
inference(superposition,[],[f976,f137]) ).
fof(f1382,plain,
! [X0,X1] : strict_equiv(not(X0),not(X1)) = and(strict_implies(not(X0),not(X1)),strict_implies(X0,X1)),
inference(superposition,[],[f123,f976]) ).
fof(f1392,plain,
! [X0,X1] : and(strict_implies(X1,X0),strict_implies(X0,X1)) = strict_equiv(not(X0),not(X1)),
inference(forward_demodulation,[],[f1382,f976]) ).
fof(f1412,plain,
! [X0,X1] : strict_equiv(X1,X0) = strict_equiv(not(X0),not(X1)),
inference(forward_demodulation,[],[f1392,f123]) ).
fof(f1426,plain,
! [X2,X0,X1] : or(implies(X0,X1),X2) = implies(and(X0,not(X1)),X2),
inference(superposition,[],[f956,f137]) ).
fof(f1428,plain,
! [X2,X0,X1] : implies(and(X1,X0),X2) = or(not(and(X0,X1)),X2),
inference(superposition,[],[f956,f985]) ).
fof(f1444,plain,
! [X2,X0,X1] : implies(and(X1,X0),X2) = implies(and(X0,X1),X2),
inference(forward_demodulation,[],[f1428,f956]) ).
fof(f1528,plain,
! [X0,X1] : possibly(and(X1,X0)) = not(strict_implies(and(X1,X0),not(and(X0,X1)))),
inference(superposition,[],[f972,f985]) ).
fof(f1615,plain,
! [X0,X1] : possibly(and(X1,X0)) = not(strict_implies(X1,not(X0))),
inference(forward_demodulation,[],[f1528,f1316]) ).
fof(f1723,plain,
! [X2,X3,X0,X1] : strict_implies(implies(X2,X3),implies(X1,X0)) = strict_implies(and(not(X0),X1),and(X2,not(X3))),
inference(superposition,[],[f341,f936]) ).
fof(f1812,plain,
! [X2,X0,X1] : strict_implies(and(X0,not(X1)),not(X2)) = strict_implies(X2,implies(X0,X1)),
inference(superposition,[],[f1341,f137]) ).
fof(f1820,plain,
! [X2,X0,X1] : strict_implies(possibly(and(X1,X0)),not(X2)) = strict_implies(X2,strict_implies(X0,not(X1))),
inference(superposition,[],[f1341,f1100]) ).
fof(f1887,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,not(and(X1,not(X0))))),
inference(superposition,[],[f279,f1341]) ).
fof(f1888,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,X0))),
inference(forward_demodulation,[],[f1887,f137]) ).
fof(f1977,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(X0,implies(X2,X1)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f1888,f145]) ).
fof(f1984,plain,
! [X0,X1] : is_a_theorem(strict_implies(X1,or(X0,X1))),
inference(superposition,[],[f1888,f139]) ).
fof(f2279,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(possibly(necessarily(X0)),X1),necessarily(X0))),
inference(resolution,[],[f1249,f130]) ).
fof(f2290,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(possibly(necessarily(X0))),X1))
| is_a_theorem(strict_implies(not(X1),necessarily(X0))) ),
inference(superposition,[],[f1249,f336]) ).
fof(f2455,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f1977,f135]) ).
fof(f2464,plain,
! [X0,X1] :
( is_a_theorem(necessarily(implies(X0,X1)))
| ~ is_a_theorem(strict_implies(not(implies(X0,X1)),X1)) ),
inference(superposition,[],[f1977,f943]) ).
fof(f2471,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(not(implies(X0,X1)),X1)) ),
inference(forward_demodulation,[],[f2464,f124]) ).
fof(f2479,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(and(not(X1),X0),X1))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f2471,f936]) ).
fof(f2551,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(and(X0,not(X1)),X1))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(superposition,[],[f2479,f219]) ).
fof(f2880,plain,
! [X2,X0,X1] : or(implies(X0,X1),not(X2)) = not(and(X2,and(X0,not(X1)))),
inference(superposition,[],[f957,f1426]) ).
fof(f2881,plain,
! [X2,X0,X1] : implies(X2,implies(X0,X1)) = not(and(X2,and(X0,not(X1)))),
inference(forward_demodulation,[],[f2880,f1099]) ).
fof(f3198,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(X0),implies(X0,X1))),
inference(superposition,[],[f1984,f1099]) ).
fof(f3224,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(X0,implies(X1,X2)))
| ~ is_a_theorem(strict_implies(X0,not(X1))) ),
inference(resolution,[],[f3198,f145]) ).
fof(f3395,plain,
! [X2,X0,X1] : or(X2,not(implies(X0,X1))) = or(X2,and(X0,not(X1))),
inference(superposition,[],[f736,f137]) ).
fof(f3442,plain,
! [X2,X0,X1] : implies(implies(X0,X1),X2) = or(X2,and(X0,not(X1))),
inference(forward_demodulation,[],[f3395,f1099]) ).
fof(f3987,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X2,and(X0,X1)),and(X1,and(X0,X2)))),
inference(superposition,[],[f289,f219]) ).
fof(f6122,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X1),X2))
| is_a_theorem(strict_implies(not(X2),X0)) ),
inference(superposition,[],[f307,f342]) ).
fof(f6128,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(and(X0,X1)),X2))
| is_a_theorem(strict_implies(not(X2),X1)) ),
inference(superposition,[],[f307,f336]) ).
fof(f6687,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(not(implies(X0,X1)),X2))
| ~ is_a_theorem(strict_implies(not(X2),not(X0))) ),
inference(superposition,[],[f3224,f336]) ).
fof(f6691,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(and(X0,not(X1)),not(X0))) ),
inference(superposition,[],[f3224,f1305]) ).
fof(f6692,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,implies(X0,X1)))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f6691,f1812]) ).
fof(f6696,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(not(X1),X0),X2))
| ~ is_a_theorem(strict_implies(not(X2),not(X0))) ),
inference(forward_demodulation,[],[f6687,f936]) ).
fof(f6719,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(not(X1),X0),X2))
| ~ is_a_theorem(strict_implies(X0,X2)) ),
inference(forward_demodulation,[],[f6696,f976]) ).
fof(f6740,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(X0,not(X0))) ),
inference(resolution,[],[f6692,f3224]) ).
fof(f6754,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(not(X0)))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f6740,f971]) ).
fof(f6755,plain,
! [X0,X1] :
( ~ is_a_theorem(not(possibly(X0)))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f6754,f937]) ).
fof(f6757,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X0))
| is_a_theorem(strict_implies(not(X1),X0)) ),
inference(resolution,[],[f6719,f2551]) ).
fof(f6812,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(not(X1),X0))
| ~ is_a_theorem(necessarily(X0)) ),
inference(forward_demodulation,[],[f6757,f943]) ).
fof(f6864,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(possibly(X0),X1))
| ~ is_a_theorem(necessarily(X1)) ),
inference(superposition,[],[f6812,f972]) ).
fof(f6869,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(not(X0),X1))
| ~ is_a_theorem(necessarily(X0)) ),
inference(superposition,[],[f6812,f336]) ).
fof(f6915,definition,
( spl1_3
<=> ! [X2,X0] :
( ~ is_a_theorem(necessarily(X0))
| is_a_theorem(implies(X2,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f6916,plain,
( ! [X2,X0] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(necessarily(X0)) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f6915]) ).
fof(f7131,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(not(X0),X1),X2))
| ~ is_a_theorem(necessarily(implies(X1,X0))) ),
inference(superposition,[],[f6869,f936]) ).
fof(f7170,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(not(X0),X1),X2))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(forward_demodulation,[],[f7131,f124]) ).
fof(f8108,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(necessarily(X0))
| ~ is_a_theorem(possibly(X1))
| is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f6864,f2455]) ).
fof(f8178,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(X1,X0),X2))
| ~ is_a_theorem(strict_implies(X0,not(X1))) ),
inference(superposition,[],[f6755,f1100]) ).
fof(f8209,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),X2))
| ~ is_a_theorem(strict_implies(X0,not(X1))) ),
inference(superposition,[],[f8178,f219]) ).
fof(f8445,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(X0,not(X1)),X2))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(superposition,[],[f7170,f219]) ).
fof(f8651,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,[],[f3987,f168]) ).
fof(f8676,plain,
! [X2,X0,X1] : is_a_theorem(strict_equiv(and(X0,and(X1,X2)),and(X2,and(X1,X0)))),
inference(forward_subsumption_resolution,[],[f8651,f3987]) ).
fof(f8677,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X2,and(X1,X0)),
inference(resolution,[],[f8676,f133]) ).
fof(f8790,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X0,and(X2,X1)),and(X0,and(X1,X2)))),
inference(superposition,[],[f289,f8677]) ).
fof(f8811,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(and(X1,X0),X2),
inference(superposition,[],[f219,f8677]) ).
fof(f8846,plain,
! [X2,X0,X1] : implies(and(X1,X0),X2) = not(and(X0,and(X1,not(X2)))),
inference(superposition,[],[f287,f8677]) ).
fof(f8857,plain,
! [X2,X0,X1] : implies(and(X1,X0),X2) = implies(X0,implies(X1,X2)),
inference(forward_demodulation,[],[f8846,f2881]) ).
fof(f8919,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(not(X0),and(X1,X2)),and(and(X2,X1),not(X0)))),
inference(superposition,[],[f8790,f795]) ).
fof(f8920,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(and(X2,X1),X0),implies(and(X1,X2),X0))),
inference(forward_demodulation,[],[f8919,f1723]) ).
fof(f8939,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(and(X2,X1),X0),implies(X2,implies(X1,X0)))),
inference(forward_demodulation,[],[f8920,f8857]) ).
fof(f8941,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X1,implies(X2,X0)),implies(X2,implies(X1,X0)))),
inference(forward_demodulation,[],[f8939,f8857]) ).
fof(f9330,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,implies(X0,X1)),
inference(superposition,[],[f8857,f220]) ).
fof(f9350,plain,
! [X2,X0,X1] : or(implies(X1,X0),X2) = implies(not(X0),implies(X1,X2)),
inference(superposition,[],[f1426,f8857]) ).
fof(f9353,plain,
! [X2,X0,X1] : strict_implies(and(X1,X0),X2) = necessarily(implies(X0,implies(X1,X2))),
inference(superposition,[],[f124,f8857]) ).
fof(f9394,plain,
! [X2,X0,X1] : strict_implies(and(X1,X0),X2) = strict_implies(X0,implies(X1,X2)),
inference(forward_demodulation,[],[f9353,f124]) ).
fof(f9395,plain,
! [X2,X0,X1] : or(implies(X1,X0),X2) = or(X0,implies(X1,X2)),
inference(forward_demodulation,[],[f9350,f139]) ).
fof(f9473,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,implies(X0,X1)),
inference(superposition,[],[f124,f9330]) ).
fof(f9517,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(X0,implies(X0,X1)),
inference(forward_demodulation,[],[f9473,f124]) ).
fof(f9556,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = strict_implies(X1,not(and(X0,X1))),
inference(superposition,[],[f9517,f957]) ).
fof(f9680,plain,
! [X0,X1] : strict_implies(X0,not(X1)) = strict_implies(X0,not(and(X0,X1))),
inference(superposition,[],[f9556,f985]) ).
fof(f10002,plain,
! [X2,X0,X1] : strict_implies(and(X0,X1),X2) = strict_implies(X0,implies(X1,X2)),
inference(superposition,[],[f9394,f219]) ).
fof(f10019,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,X1))),
inference(superposition,[],[f130,f9394]) ).
fof(f10030,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(superposition,[],[f8445,f9394]) ).
fof(f10032,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,and(X0,X1)))),
inference(superposition,[],[f131,f9394]) ).
fof(f10040,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(possibly(necessarily(X1)),necessarily(X1)))),
inference(superposition,[],[f2279,f9394]) ).
fof(f10148,plain,
! [X2,X0,X1] : strict_implies(X0,implies(X1,X2)) = strict_implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f10002,f9394]) ).
fof(f10218,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| is_a_theorem(strict_equiv(implies(X0,X0),X1)) ),
inference(resolution,[],[f10019,f168]) ).
fof(f10232,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| is_a_theorem(strict_equiv(not(not(X1)),implies(X0,X0))) ),
inference(resolution,[],[f10019,f767]) ).
fof(f10279,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| is_a_theorem(strict_equiv(X1,implies(X0,X0))) ),
inference(forward_demodulation,[],[f10232,f922]) ).
fof(f10549,plain,
! [X0,X1] :
( ~ is_a_theorem(not(implies(X0,and(not(X1),X0))))
| is_a_theorem(X1) ),
inference(resolution,[],[f10032,f360]) ).
fof(f10573,plain,
! [X0,X1] : is_a_theorem(strict_implies(X1,or(X0,and(X1,not(X0))))),
inference(superposition,[],[f10032,f139]) ).
fof(f10588,plain,
! [X0,X1] : is_a_theorem(strict_implies(X1,implies(implies(X1,X0),X0))),
inference(forward_demodulation,[],[f10573,f3442]) ).
fof(f10607,plain,
! [X0,X1] :
( ~ is_a_theorem(and(not(and(not(X1),X0)),X0))
| is_a_theorem(X1) ),
inference(forward_demodulation,[],[f10549,f936]) ).
fof(f10624,plain,
! [X0,X1] :
( ~ is_a_theorem(and(implies(X0,X1),X0))
| is_a_theorem(X1) ),
inference(forward_demodulation,[],[f10607,f287]) ).
fof(f10775,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f10588,f135]) ).
fof(f10791,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(implies(not(possibly(necessarily(X0))),X1),X1)),necessarily(X0))),
inference(resolution,[],[f10588,f2290]) ).
fof(f10797,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(not(implies(implies(implies(X0,X1),X2),X2)),X0)),
inference(resolution,[],[f10588,f6122]) ).
fof(f10829,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(not(X2),implies(implies(X0,X1),X2)),X0)),
inference(forward_demodulation,[],[f10797,f936]) ).
fof(f10834,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(not(X1),implies(not(possibly(necessarily(X0))),X1)),necessarily(X0))),
inference(forward_demodulation,[],[f10791,f936]) ).
fof(f10853,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(implies(X0,X1),X2),implies(not(X2),X0))),
inference(forward_demodulation,[],[f10829,f9394]) ).
fof(f10856,plain,
! [X0,X1] : is_a_theorem(strict_implies(implies(not(possibly(necessarily(X0))),X1),implies(not(X1),necessarily(X0)))),
inference(forward_demodulation,[],[f10834,f9394]) ).
fof(f10865,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(implies(X0,X1),X2),or(X2,X0))),
inference(forward_demodulation,[],[f10853,f139]) ).
fof(f10868,plain,
! [X0,X1] : is_a_theorem(strict_implies(implies(not(possibly(necessarily(X0))),X1),or(X1,necessarily(X0)))),
inference(forward_demodulation,[],[f10856,f139]) ).
fof(f10875,plain,
! [X0,X1] : is_a_theorem(strict_implies(or(possibly(necessarily(X0)),X1),or(X1,necessarily(X0)))),
inference(forward_demodulation,[],[f10868,f139]) ).
fof(f10983,plain,
! [X0,X1] : is_a_theorem(strict_implies(implies(implies(X0,X1),X0),not(not(X0)))),
inference(superposition,[],[f10865,f245]) ).
fof(f10994,plain,
! [X0,X1] : is_a_theorem(strict_implies(implies(implies(X0,X1),X0),X0)),
inference(forward_demodulation,[],[f10983,f685]) ).
fof(f11015,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,implies(implies(X0,X1),X0)))
| is_a_theorem(strict_equiv(X0,implies(implies(X0,X1),X0))) ),
inference(resolution,[],[f10994,f168]) ).
fof(f11070,plain,
! [X0,X1] : is_a_theorem(strict_equiv(X0,implies(implies(X0,X1),X0))),
inference(forward_subsumption_resolution,[],[f11015,f1888]) ).
fof(f11104,plain,
! [X0,X1] : implies(implies(X0,X1),X0) = X0,
inference(resolution,[],[f11070,f133]) ).
fof(f11115,plain,
! [X0,X1] : is_a_theorem(strict_equiv(not(X0),not(and(X0,implies(not(X0),X1))))),
inference(superposition,[],[f11070,f957]) ).
fof(f11118,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,implies(not(X0),X1)),X0)),
inference(forward_demodulation,[],[f11115,f1412]) ).
fof(f11127,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,or(X0,X1)),X0)),
inference(forward_demodulation,[],[f11118,f139]) ).
fof(f11133,plain,
! [X0,X1] : implies(not(and(X0,X1)),X1) = X1,
inference(superposition,[],[f11104,f957]) ).
fof(f11150,plain,
! [X0,X1] : necessarily(X0) = strict_implies(implies(X0,X1),X0),
inference(superposition,[],[f124,f11104]) ).
fof(f11222,plain,
! [X0,X1] : or(and(X0,X1),X1) = X1,
inference(forward_demodulation,[],[f11133,f139]) ).
fof(f11231,plain,
! [X0,X1] : necessarily(X1) = strict_implies(not(and(X0,X1)),X1),
inference(superposition,[],[f11150,f957]) ).
fof(f11234,plain,
! [X0,X1] : necessarily(not(X0)) = strict_implies(or(X0,X1),not(X0)),
inference(superposition,[],[f11150,f139]) ).
fof(f11322,plain,
! [X0,X1] : not(possibly(X0)) = strict_implies(or(X0,X1),not(X0)),
inference(forward_demodulation,[],[f11234,f937]) ).
fof(f11368,plain,
! [X0,X1] : necessarily(not(X1)) = strict_implies(implies(X0,X1),not(X1)),
inference(superposition,[],[f11231,f137]) ).
fof(f11390,plain,
! [X0,X1] : necessarily(X0) = strict_implies(not(X0),and(X1,X0)),
inference(superposition,[],[f336,f11231]) ).
fof(f11497,plain,
! [X0,X1] : not(possibly(X1)) = strict_implies(implies(X0,X1),not(X1)),
inference(forward_demodulation,[],[f11368,f937]) ).
fof(f11563,plain,
! [X0,X1] : or(X0,and(X1,X0)) = X0,
inference(superposition,[],[f332,f11222]) ).
fof(f12341,plain,
! [X0,X1] : and(X0,or(X0,X1)) = X0,
inference(resolution,[],[f11127,f133]) ).
fof(f12366,plain,
! [X0,X1] : and(X1,implies(X0,X1)) = X1,
inference(superposition,[],[f12341,f1099]) ).
fof(f12425,plain,
! [X0,X1] : necessarily(or(X0,X1)) = strict_implies(not(or(X0,X1)),X0),
inference(superposition,[],[f11390,f12341]) ).
fof(f12428,plain,
! [X0,X1] : or(X0,X1) = or(or(X0,X1),X0),
inference(superposition,[],[f11563,f12341]) ).
fof(f12449,plain,
! [X0,X1] : strict_implies(not(X0),X1) = strict_implies(not(or(X0,X1)),X0),
inference(forward_demodulation,[],[f12425,f142]) ).
fof(f12610,plain,
! [X0,X1] : is_a_theorem(strict_equiv(X0,and(implies(X1,X0),X0))),
inference(superposition,[],[f178,f12366]) ).
fof(f12623,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(not(X2),implies(X1,X0)))
| ~ is_a_theorem(strict_implies(not(X0),X2)) ),
inference(superposition,[],[f6128,f12366]) ).
fof(f12794,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(not(implies(X0,X1)),X2))
| ~ is_a_theorem(strict_implies(not(or(implies(X0,X1),X2)),X1)) ),
inference(superposition,[],[f1977,f12449]) ).
fof(f12796,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(not(X1),X0),X2))
| ~ is_a_theorem(strict_implies(not(or(implies(X0,X1),X2)),X1)) ),
inference(forward_demodulation,[],[f12794,f936]) ).
fof(f12853,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(strict_implies(not(or(implies(X0,X1),X2)),X1)) ),
inference(forward_demodulation,[],[f12796,f9394]) ).
fof(f12894,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(X0,or(X1,X2)))
| ~ is_a_theorem(strict_implies(not(or(implies(X0,X1),X2)),X1)) ),
inference(forward_demodulation,[],[f12853,f139]) ).
fof(f12915,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(or(X1,implies(X0,X2))),X1))
| is_a_theorem(strict_implies(X0,or(X1,X2))) ),
inference(forward_demodulation,[],[f12894,f9395]) ).
fof(f12921,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X1),implies(X0,X2)))
| is_a_theorem(strict_implies(X0,or(X1,X2))) ),
inference(forward_demodulation,[],[f12915,f12449]) ).
fof(f13128,plain,
! [X0,X1] : and(implies(X1,X0),X0) = X0,
inference(resolution,[],[f12610,f133]) ).
fof(f13158,plain,
! [X0,X1] : and(or(X0,X1),X1) = X1,
inference(superposition,[],[f13128,f139]) ).
fof(f13159,plain,
! [X2,X0,X1] : and(implies(X0,implies(X1,X2)),X2) = X2,
inference(superposition,[],[f13128,f8857]) ).
fof(f13162,plain,
! [X2,X0,X1] : and(or(implies(X0,X1),X2),X2) = X2,
inference(superposition,[],[f13128,f1426]) ).
fof(f13218,plain,
! [X2,X0,X1] : and(X1,X0) = and(X0,and(implies(X2,X0),X1)),
inference(superposition,[],[f8677,f13128]) ).
fof(f13221,plain,
! [X2,X0,X1] : implies(X0,X2) = implies(X0,implies(implies(X1,X0),X2)),
inference(superposition,[],[f8857,f13128]) ).
fof(f13311,plain,
! [X2,X0,X1] : and(or(X1,implies(X0,X2)),X2) = X2,
inference(forward_demodulation,[],[f13162,f9395]) ).
fof(f13351,plain,
! [X0,X1] : and(or(X0,X1),X0) = X0,
inference(superposition,[],[f13158,f332]) ).
fof(f13440,plain,
! [X2,X0,X1] : implies(not(X0),X2) = or(implies(or(X1,not(X0)),X0),X2),
inference(superposition,[],[f1426,f13158]) ).
fof(f13473,plain,
! [X2,X0,X1] : implies(not(X0),X2) = or(X0,implies(or(X1,not(X0)),X2)),
inference(forward_demodulation,[],[f13440,f9395]) ).
fof(f13512,plain,
! [X2,X0,X1] : implies(not(X0),X2) = or(X0,implies(implies(X0,X1),X2)),
inference(forward_demodulation,[],[f13473,f1099]) ).
fof(f13530,plain,
! [X2,X0,X1] : or(X0,X2) = or(X0,implies(implies(X0,X1),X2)),
inference(forward_demodulation,[],[f13512,f139]) ).
fof(f13604,plain,
! [X2,X0,X1] : strict_implies(X0,X2) = strict_implies(X0,implies(or(X0,X1),X2)),
inference(superposition,[],[f9394,f13351]) ).
fof(f13991,plain,
! [X2,X0,X1] : not(not(X0)) = implies(implies(X1,implies(X2,not(X0))),X0),
inference(superposition,[],[f137,f13159]) ).
fof(f14034,plain,
! [X2,X0,X1] : not(not(X0)) = implies(implies(X1,not(and(X0,X2))),X0),
inference(forward_demodulation,[],[f13991,f957]) ).
fof(f14080,plain,
! [X2,X0,X1] : not(not(X0)) = implies(not(and(and(X0,X2),X1)),X0),
inference(forward_demodulation,[],[f14034,f957]) ).
fof(f14106,plain,
! [X2,X0,X1] : not(not(X0)) = or(and(and(X0,X2),X1),X0),
inference(forward_demodulation,[],[f14080,f139]) ).
fof(f14120,plain,
! [X2,X0,X1] : not(not(X0)) = or(and(X2,and(X0,X1)),X0),
inference(forward_demodulation,[],[f14106,f8811]) ).
fof(f14127,plain,
! [X2,X0,X1] : or(and(X2,and(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f14120,f922]) ).
fof(f14162,plain,
! [X2,X0,X1] : necessarily(X0) = strict_implies(not(and(X1,and(X0,X2))),X0),
inference(superposition,[],[f142,f14127]) ).
fof(f14226,plain,
! [X2,X0,X1] : necessarily(implies(X1,X0)) = strict_implies(not(and(X2,X0)),implies(X1,X0)),
inference(superposition,[],[f14162,f13128]) ).
fof(f14243,plain,
! [X2,X0,X1] : necessarily(X0) = strict_implies(implies(and(X0,X1),X2),X0),
inference(superposition,[],[f14162,f287]) ).
fof(f14377,plain,
! [X2,X0,X1] : necessarily(X0) = strict_implies(implies(X1,implies(X0,X2)),X0),
inference(forward_demodulation,[],[f14243,f8857]) ).
fof(f14383,plain,
! [X2,X0,X1] : strict_implies(X1,X0) = strict_implies(not(and(X2,X0)),implies(X1,X0)),
inference(forward_demodulation,[],[f14226,f124]) ).
fof(f14795,plain,
! [X2,X0,X1] : strict_implies(X2,not(X1)) = strict_implies(implies(X0,X1),implies(X2,not(X1))),
inference(superposition,[],[f14383,f137]) ).
fof(f14798,plain,
! [X2,X0,X1] : strict_implies(X2,X0) = strict_implies(implies(X0,X1),implies(X2,X0)),
inference(superposition,[],[f14383,f287]) ).
fof(f14891,plain,
! [X2,X0,X1] : strict_implies(X2,not(X1)) = strict_implies(implies(X0,X1),not(and(X1,X2))),
inference(forward_demodulation,[],[f14795,f957]) ).
fof(f14950,plain,
! [X2,X0,X1] : strict_implies(X0,not(X1)) = strict_implies(implies(X2,X1),not(and(X0,X1))),
inference(superposition,[],[f14891,f985]) ).
fof(f15507,plain,
! [X0,X1] : is_a_theorem(strict_equiv(implies(X0,X0),implies(X1,X1))),
inference(resolution,[],[f10279,f10019]) ).
fof(f15987,plain,
! [X2,X0,X1] : strict_implies(X2,not(not(X0))) = strict_implies(not(and(X0,X1)),not(and(X2,not(X0)))),
inference(superposition,[],[f14950,f957]) ).
fof(f16095,plain,
! [X2,X0,X1] : strict_implies(X2,not(not(X0))) = strict_implies(and(X2,not(X0)),and(X0,X1)),
inference(forward_demodulation,[],[f15987,f976]) ).
fof(f16115,plain,
! [X2,X0,X1] : strict_implies(X2,not(not(X0))) = strict_implies(not(X0),implies(X2,and(X0,X1))),
inference(forward_demodulation,[],[f16095,f9394]) ).
fof(f16121,plain,
! [X2,X0,X1] : strict_implies(X2,X0) = strict_implies(not(X0),implies(X2,and(X0,X1))),
inference(forward_demodulation,[],[f16115,f737]) ).
fof(f16989,plain,
! [X0] : is_a_theorem(strict_implies(or(possibly(necessarily(X0)),necessarily(X0)),not(not(necessarily(X0))))),
inference(superposition,[],[f10875,f245]) ).
fof(f17002,plain,
! [X0] : is_a_theorem(strict_implies(or(possibly(necessarily(X0)),necessarily(X0)),necessarily(X0))),
inference(forward_demodulation,[],[f16989,f737]) ).
fof(f17066,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(necessarily(X0),or(possibly(necessarily(X0)),necessarily(X0))))
| is_a_theorem(strict_equiv(necessarily(X0),or(possibly(necessarily(X0)),necessarily(X0)))) ),
inference(resolution,[],[f17002,f168]) ).
fof(f17081,plain,
! [X0] : is_a_theorem(strict_equiv(necessarily(X0),or(possibly(necessarily(X0)),necessarily(X0)))),
inference(forward_subsumption_resolution,[],[f17066,f1984]) ).
fof(f17085,plain,
! [X0] : necessarily(X0) = or(possibly(necessarily(X0)),necessarily(X0)),
inference(resolution,[],[f17081,f133]) ).
fof(f17160,plain,
! [X0] : possibly(necessarily(X0)) = and(possibly(necessarily(X0)),necessarily(X0)),
inference(superposition,[],[f12341,f17085]) ).
fof(f17987,plain,
! [X0,X1] : implies(X0,X0) = implies(X1,X1),
inference(resolution,[],[f15507,f133]) ).
fof(f18143,plain,
! [X0,X1] : possibly(not(implies(X0,X0))) = not(strict_implies(X1,X1)),
inference(superposition,[],[f723,f17987]) ).
fof(f18164,plain,
! [X0,X1] : implies(X0,X0) = implies(X1,implies(X0,X0)),
inference(superposition,[],[f9330,f17987]) ).
fof(f18177,plain,
! [X0,X1] : implies(implies(X0,X0),X1) = X1,
inference(superposition,[],[f11104,f17987]) ).
fof(f18194,plain,
! [X2,X0,X1] : strict_implies(not(X1),implies(X0,X0)) = strict_implies(and(X1,X2),X1),
inference(superposition,[],[f16121,f17987]) ).
fof(f18198,plain,
! [X0,X1] : necessarily(X1) = strict_implies(implies(X0,X0),X1),
inference(superposition,[],[f14377,f17987]) ).
fof(f18199,plain,
! [X2,X0] : and(implies(X0,X0),X2) = X2,
inference(superposition,[],[f13159,f17987]) ).
fof(f18220,plain,
! [X2,X0,X1] : strict_implies(not(X1),implies(X0,X0)) = strict_implies(X2,implies(X1,X1)),
inference(forward_demodulation,[],[f18194,f9394]) ).
fof(f18240,plain,
! [X0,X1] : not(strict_implies(X0,X0)) = not(strict_implies(X1,X1)),
inference(forward_demodulation,[],[f18143,f723]) ).
fof(f18747,plain,
! [X0,X1] : strict_implies(X0,implies(X1,X1)) = necessarily(implies(X1,X1)),
inference(superposition,[],[f11150,f18177]) ).
fof(f18790,plain,
! [X0,X1] : strict_implies(X1,X1) = strict_implies(X0,implies(X1,X1)),
inference(forward_demodulation,[],[f18747,f124]) ).
fof(f18915,plain,
! [X0,X1] : strict_equiv(implies(X0,X0),X1) = and(strict_implies(implies(X0,X0),X1),strict_implies(X0,X0)),
inference(superposition,[],[f123,f18790]) ).
fof(f18949,plain,
! [X0,X1] : strict_implies(X0,X0) = strict_implies(not(implies(X0,X0)),X1),
inference(superposition,[],[f336,f18790]) ).
fof(f19010,plain,
! [X0,X1] : strict_implies(X0,X0) = strict_implies(and(not(X0),X0),X1),
inference(forward_demodulation,[],[f18949,f936]) ).
fof(f19023,plain,
! [X0,X1] : strict_equiv(implies(X0,X0),X1) = and(necessarily(X1),strict_implies(X0,X0)),
inference(forward_demodulation,[],[f18915,f18198]) ).
fof(f19054,plain,
! [X0,X1] : strict_implies(X0,X0) = strict_implies(X0,implies(not(X0),X1)),
inference(forward_demodulation,[],[f19010,f9394]) ).
fof(f19087,plain,
! [X0,X1] : strict_implies(X0,X0) = strict_implies(X0,or(X0,X1)),
inference(forward_demodulation,[],[f19054,f139]) ).
fof(f19112,plain,
! [X0,X1] : strict_implies(X1,X1) = strict_implies(X1,or(X0,X1)),
inference(superposition,[],[f19087,f332]) ).
fof(f19326,plain,
! [X0,X1] : not(possibly(X0)) = strict_implies(X0,not(implies(X1,X1))),
inference(superposition,[],[f1100,f18199]) ).
fof(f19485,plain,
! [X0,X1] : not(possibly(X0)) = strict_implies(X0,and(not(X1),X1)),
inference(forward_demodulation,[],[f19326,f749]) ).
fof(f19847,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(strict_implies(implies(X1,X1),X2),strict_implies(X2,X0)),necessarily(X0))),
inference(superposition,[],[f127,f18198]) ).
fof(f19935,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(X2,X0),implies(strict_implies(implies(X1,X1),X2),necessarily(X0)))),
inference(forward_demodulation,[],[f19847,f9394]) ).
fof(f19992,plain,
! [X2,X0] : is_a_theorem(strict_implies(strict_implies(X2,X0),implies(necessarily(X2),necessarily(X0)))),
inference(forward_demodulation,[],[f19935,f18198]) ).
fof(f20057,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(not(X0),X1),implies(necessarily(not(X1)),necessarily(X0)))),
inference(superposition,[],[f19992,f336]) ).
fof(f20152,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(not(X0),X1),implies(not(possibly(X1)),necessarily(X0)))),
inference(forward_demodulation,[],[f20057,f937]) ).
fof(f20195,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(not(X0),X1),or(possibly(X1),necessarily(X0)))),
inference(forward_demodulation,[],[f20152,f139]) ).
fof(f22823,plain,
! [X2,X0,X1] : strict_equiv(implies(X0,X0),X2) = and(strict_implies(implies(X0,X0),X2),strict_implies(not(X0),implies(X1,X1))),
inference(superposition,[],[f123,f18220]) ).
fof(f22958,plain,
! [X2,X0,X1] : strict_equiv(implies(X0,X0),X2) = and(strict_implies(implies(X0,X0),X2),strict_implies(X1,X1)),
inference(forward_demodulation,[],[f22823,f18790]) ).
fof(f23107,plain,
! [X2,X0,X1] : strict_equiv(implies(X0,X0),X2) = and(necessarily(X2),strict_implies(X1,X1)),
inference(forward_demodulation,[],[f22958,f18198]) ).
fof(f23212,plain,
! [X2,X0,X1] : strict_equiv(implies(X0,X0),X2) = strict_equiv(implies(X1,X1),X2),
inference(forward_demodulation,[],[f23107,f19023]) ).
fof(f23668,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(strict_implies(X0,X0)),strict_implies(X1,X1)))
| is_a_theorem(necessarily(not(not(strict_implies(X0,X0))))) ),
inference(superposition,[],[f474,f18240]) ).
fof(f23760,plain,
! [X0,X1] : strict_implies(not(strict_implies(X0,X0)),strict_implies(X1,X1)) = necessarily(not(not(strict_implies(X0,X0)))),
inference(superposition,[],[f452,f18240]) ).
fof(f23787,plain,
! [X0,X1] : strict_implies(not(strict_implies(X0,X0)),strict_implies(X1,X1)) = necessarily(strict_implies(X1,X1)),
inference(superposition,[],[f943,f18240]) ).
fof(f23841,definition,
( spl1_16
<=> ! [X1] : ~ is_a_theorem(necessarily(strict_implies(X1,X1))) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f23842,plain,
( ! [X1] : ~ is_a_theorem(necessarily(strict_implies(X1,X1)))
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f23841]) ).
fof(f23889,plain,
! [X0,X1] : strict_implies(not(strict_implies(X0,X0)),strict_implies(X1,X1)) = not(possibly(not(strict_implies(X0,X0)))),
inference(forward_demodulation,[],[f23760,f937]) ).
fof(f23943,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(strict_implies(X1,X1)))
| is_a_theorem(necessarily(not(not(strict_implies(X0,X0))))) ),
inference(forward_demodulation,[],[f23668,f23787]) ).
fof(f23999,plain,
! [X0,X1] : strict_implies(not(strict_implies(X0,X0)),strict_implies(X1,X1)) = not(not(necessarily(strict_implies(X0,X0)))),
inference(forward_demodulation,[],[f23889,f954]) ).
fof(f24013,plain,
! [X0,X1] :
( is_a_theorem(not(possibly(not(strict_implies(X0,X0)))))
| ~ is_a_theorem(necessarily(strict_implies(X1,X1))) ),
inference(forward_demodulation,[],[f23943,f937]) ).
fof(f24035,plain,
! [X0,X1] : strict_implies(not(strict_implies(X0,X0)),strict_implies(X1,X1)) = necessarily(strict_implies(X0,X0)),
inference(forward_demodulation,[],[f23999,f922]) ).
fof(f24038,plain,
! [X0,X1] :
( is_a_theorem(not(not(necessarily(strict_implies(X0,X0)))))
| ~ is_a_theorem(necessarily(strict_implies(X1,X1))) ),
inference(forward_demodulation,[],[f24013,f954]) ).
fof(f24050,plain,
! [X0,X1] : necessarily(strict_implies(X1,X1)) = necessarily(strict_implies(X0,X0)),
inference(forward_demodulation,[],[f24035,f23787]) ).
fof(f24051,plain,
! [X0,X1] :
( is_a_theorem(necessarily(strict_implies(X0,X0)))
| ~ is_a_theorem(necessarily(strict_implies(X1,X1))) ),
inference(forward_demodulation,[],[f24038,f922]) ).
fof(f24056,definition,
( spl1_20
<=> ! [X0] : is_a_theorem(necessarily(strict_implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).
fof(f24057,plain,
( ! [X0] : is_a_theorem(necessarily(strict_implies(X0,X0)))
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f24056]) ).
fof(f24059,plain,
( spl1_16
| spl1_20 ),
inference(avatar_split_clause,[],[f24051,f24056,f23841]) ).
fof(f26773,plain,
! [X2,X0,X1] : not(not(X0)) = implies(or(X1,implies(X2,not(X0))),X0),
inference(superposition,[],[f137,f13311]) ).
fof(f26825,plain,
! [X2,X0,X1] : not(not(X0)) = implies(or(X1,not(and(X0,X2))),X0),
inference(forward_demodulation,[],[f26773,f957]) ).
fof(f26874,plain,
! [X2,X0,X1] : not(not(X0)) = implies(implies(and(X0,X2),X1),X0),
inference(forward_demodulation,[],[f26825,f1099]) ).
fof(f26895,plain,
! [X2,X0,X1] : not(not(X0)) = implies(implies(X2,implies(X0,X1)),X0),
inference(forward_demodulation,[],[f26874,f8857]) ).
fof(f26902,plain,
! [X2,X0,X1] : implies(implies(X2,implies(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f26895,f922]) ).
fof(f28900,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_equiv(implies(X0,X0),X1))
| implies(X2,X2) = X1 ),
inference(superposition,[],[f133,f23212]) ).
fof(f29094,plain,
( ! [X0] :
( is_a_theorem(implies(X0,X0))
| ~ is_a_theorem(necessarily(implies(X0,X0))) )
| ~ spl1_3 ),
inference(superposition,[],[f6916,f18164]) ).
fof(f31638,plain,
! [X0] : is_a_theorem(strict_implies(strict_implies(not(X0),necessarily(X0)),necessarily(X0))),
inference(superposition,[],[f20195,f17085]) ).
fof(f31774,plain,
! [X0] : is_a_theorem(strict_implies(strict_implies(not(X0),necessarily(not(not(X0)))),necessarily(not(not(X0))))),
inference(superposition,[],[f31638,f646]) ).
fof(f31822,plain,
! [X0] : is_a_theorem(strict_implies(strict_implies(not(X0),necessarily(not(not(X0)))),not(possibly(not(X0))))),
inference(forward_demodulation,[],[f31774,f750]) ).
fof(f31840,plain,
! [X0] : is_a_theorem(strict_implies(strict_implies(not(X0),necessarily(not(not(X0)))),not(not(necessarily(X0))))),
inference(forward_demodulation,[],[f31822,f954]) ).
fof(f31852,plain,
! [X0] : is_a_theorem(strict_implies(strict_implies(not(X0),necessarily(not(not(X0)))),necessarily(X0))),
inference(forward_demodulation,[],[f31840,f737]) ).
fof(f31859,plain,
! [X0] : is_a_theorem(strict_implies(strict_implies(possibly(not(X0)),X0),necessarily(X0))),
inference(forward_demodulation,[],[f31852,f343]) ).
fof(f31862,plain,
! [X0] : is_a_theorem(strict_implies(strict_implies(not(necessarily(X0)),X0),necessarily(X0))),
inference(forward_demodulation,[],[f31859,f954]) ).
fof(f31864,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(not(necessarily(X0)),X0))
| is_a_theorem(necessarily(X0)) ),
inference(resolution,[],[f31862,f135]) ).
fof(f31865,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,strict_implies(not(necessarily(X1)),X1)))
| is_a_theorem(strict_implies(X0,necessarily(X1))) ),
inference(resolution,[],[f31862,f145]) ).
fof(f31948,plain,
! [X0,X1] :
( is_a_theorem(necessarily(implies(X0,X1)))
| ~ is_a_theorem(strict_implies(X0,necessarily(implies(X0,X1)))) ),
inference(resolution,[],[f31864,f10030]) ).
fof(f31963,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(strict_implies(X0,X1)),implies(X0,X1)))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(superposition,[],[f31864,f124]) ).
fof(f32014,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(X0,necessarily(implies(X0,X1)))) ),
inference(forward_demodulation,[],[f31948,f124]) ).
fof(f32033,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,strict_implies(X0,X1)))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f32014,f124]) ).
fof(f36104,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(strict_implies(not(necessarily(X0)),X0)),X1))
| is_a_theorem(strict_implies(not(X1),necessarily(X0))) ),
inference(superposition,[],[f31865,f336]) ).
fof(f36237,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(implies(not(strict_implies(not(necessarily(X0)),X0)),X1),X1)),necessarily(X0))),
inference(resolution,[],[f36104,f10588]) ).
fof(f36367,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(not(X1),implies(not(strict_implies(not(necessarily(X0)),X0)),X1)),necessarily(X0))),
inference(forward_demodulation,[],[f36237,f936]) ).
fof(f36425,plain,
! [X0,X1] : is_a_theorem(strict_implies(implies(not(strict_implies(not(necessarily(X0)),X0)),X1),implies(not(X1),necessarily(X0)))),
inference(forward_demodulation,[],[f36367,f9394]) ).
fof(f36465,plain,
! [X0,X1] : is_a_theorem(strict_implies(implies(not(strict_implies(not(necessarily(X0)),X0)),X1),or(X1,necessarily(X0)))),
inference(forward_demodulation,[],[f36425,f139]) ).
fof(f36494,plain,
! [X0,X1] : is_a_theorem(strict_implies(or(strict_implies(not(necessarily(X0)),X0),X1),or(X1,necessarily(X0)))),
inference(forward_demodulation,[],[f36465,f139]) ).
fof(f38091,plain,
! [X2,X0,X1] : strict_implies(X2,or(X0,X1)) = strict_implies(not(X0),implies(X2,X1)),
inference(superposition,[],[f10148,f139]) ).
fof(f40716,definition,
( spl1_38
<=> ! [X2] : ~ is_a_theorem(possibly(X2)) ),
introduced(definition,[new_symbols(definition,[spl1_38])],[avatar_definition]) ).
fof(f40717,plain,
( ! [X2] : ~ is_a_theorem(possibly(X2))
| ~ spl1_38 ),
inference(avatar_component_clause,[],[f40716]) ).
fof(f40737,definition,
( spl1_41
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl1_41])],[avatar_definition]) ).
fof(f40738,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl1_41 ),
inference(avatar_component_clause,[],[f40737]) ).
fof(f40812,plain,
( ! [X0] :
( ~ is_a_theorem(strict_implies(X0,X0))
| is_a_theorem(implies(X0,X0)) )
| ~ spl1_3 ),
inference(forward_demodulation,[],[f29094,f124]) ).
fof(f40885,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f40812,f231]) ).
fof(f40897,plain,
( spl1_41
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f40885,f6915,f40737]) ).
fof(f40909,plain,
( spl1_38
| spl1_3 ),
inference(avatar_split_clause,[],[f8108,f6915,f40716]) ).
fof(f52843,plain,
! [X0,X1] : is_a_theorem(strict_implies(or(strict_implies(not(necessarily(X1)),X1),not(X0)),implies(X0,necessarily(X1)))),
inference(superposition,[],[f36494,f956]) ).
fof(f52857,plain,
! [X0,X1] : is_a_theorem(strict_implies(implies(X0,strict_implies(not(necessarily(X1)),X1)),implies(X0,necessarily(X1)))),
inference(forward_demodulation,[],[f52843,f1099]) ).
fof(f52979,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X2,strict_implies(not(X0),implies(X1,X1))),implies(X2,necessarily(implies(X0,X0))))),
inference(superposition,[],[f52857,f18220]) ).
fof(f53042,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X2,strict_implies(not(X0),implies(X1,X1))),implies(X2,strict_implies(X0,X0)))),
inference(forward_demodulation,[],[f52979,f124]) ).
fof(f53071,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X2,strict_implies(X1,or(X0,X1))),implies(X2,strict_implies(X0,X0)))),
inference(forward_demodulation,[],[f53042,f38091]) ).
fof(f53085,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X2,strict_implies(X1,X1)),implies(X2,strict_implies(X0,X0)))),
inference(forward_demodulation,[],[f53071,f19112]) ).
fof(f53106,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,strict_implies(X1,X1)),implies(X0,strict_implies(X2,X2))))
| is_a_theorem(strict_equiv(implies(X0,strict_implies(X1,X1)),implies(X0,strict_implies(X2,X2)))) ),
inference(resolution,[],[f53085,f168]) ).
fof(f53243,plain,
! [X2,X0,X1] : is_a_theorem(strict_equiv(implies(X0,strict_implies(X1,X1)),implies(X0,strict_implies(X2,X2)))),
inference(forward_subsumption_resolution,[],[f53106,f53085]) ).
fof(f53269,plain,
! [X2,X0,X1] : implies(X0,X0) = implies(strict_implies(X1,X1),strict_implies(X2,X2)),
inference(resolution,[],[f53243,f28900]) ).
fof(f53770,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X1),implies(X0,X0)))
| is_a_theorem(strict_implies(strict_implies(X2,X2),or(X1,strict_implies(X3,X3)))) ),
inference(superposition,[],[f12921,f53269]) ).
fof(f53832,plain,
! [X2,X3,X1] : is_a_theorem(strict_implies(strict_implies(X2,X2),or(X1,strict_implies(X3,X3)))),
inference(forward_subsumption_resolution,[],[f53770,f10019]) ).
fof(f65432,plain,
! [X0,X1] : is_a_theorem(strict_equiv(implies(X0,X0),implies(possibly(necessarily(X1)),necessarily(X1)))),
inference(resolution,[],[f10218,f10040]) ).
fof(f65597,plain,
! [X0,X1] : implies(X0,X0) = implies(possibly(necessarily(X1)),necessarily(X1)),
inference(resolution,[],[f65432,f133]) ).
fof(f65662,plain,
! [X0,X1] : implies(possibly(not(possibly(X0))),not(possibly(X0))) = implies(X1,X1),
inference(superposition,[],[f65597,f937]) ).
fof(f66110,plain,
! [X0,X1] : not(and(possibly(not(possibly(X0))),possibly(X0))) = implies(X1,X1),
inference(forward_demodulation,[],[f65662,f743]) ).
fof(f66155,plain,
! [X0,X1] : not(and(not(necessarily(possibly(X0))),possibly(X0))) = implies(X1,X1),
inference(forward_demodulation,[],[f66110,f804]) ).
fof(f66168,plain,
! [X0,X1] : implies(possibly(X0),necessarily(possibly(X0))) = implies(X1,X1),
inference(forward_demodulation,[],[f66155,f287]) ).
fof(f67886,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X1),implies(X0,X0)))
| is_a_theorem(strict_implies(possibly(X2),or(X1,necessarily(possibly(X2))))) ),
inference(superposition,[],[f12921,f66168]) ).
fof(f68240,plain,
! [X2,X1] : is_a_theorem(strict_implies(possibly(X2),or(X1,necessarily(possibly(X2))))),
inference(forward_subsumption_resolution,[],[f67886,f10019]) ).
fof(f69318,plain,
! [X2,X0,X1] : implies(X1,implies(X0,X0)) = implies(X1,implies(X2,X1)),
inference(superposition,[],[f13221,f17987]) ).
fof(f69519,plain,
! [X2,X0,X1] : implies(X0,X0) = implies(X1,implies(X2,X1)),
inference(forward_demodulation,[],[f69318,f18164]) ).
fof(f69614,plain,
! [X2,X0,X1] : implies(X1,or(X0,X1)) = implies(X2,X2),
inference(superposition,[],[f69519,f139]) ).
fof(f70433,plain,
! [X2,X3,X0,X1] : strict_implies(not(X1),implies(X0,X0)) = strict_implies(and(X2,not(or(X3,X2))),X1),
inference(superposition,[],[f1351,f69614]) ).
fof(f70896,plain,
! [X2,X3,X0,X1] : strict_implies(not(X1),implies(X0,X0)) = strict_implies(not(or(X3,X2)),implies(X2,X1)),
inference(forward_demodulation,[],[f70433,f9394]) ).
fof(f70970,plain,
! [X2,X3,X0,X1] : strict_implies(not(X1),implies(X0,X0)) = strict_implies(X2,or(or(X3,X2),X1)),
inference(forward_demodulation,[],[f70896,f38091]) ).
fof(f70993,plain,
! [X2,X3,X0,X1] : strict_implies(X0,or(X1,X0)) = strict_implies(X2,or(or(X3,X2),X1)),
inference(forward_demodulation,[],[f70970,f38091]) ).
fof(f70998,plain,
! [X2,X3,X0,X1] : strict_implies(X0,X0) = strict_implies(X2,or(or(X3,X2),X1)),
inference(forward_demodulation,[],[f70993,f19112]) ).
fof(f84196,plain,
! [X0,X1] : strict_implies(strict_implies(X0,X0),not(necessarily(X1))) = not(possibly(strict_equiv(implies(X0,X0),X1))),
inference(superposition,[],[f1100,f19023]) ).
fof(f84976,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(possibly(and(X0,X1)),implies(X0,not(X1))))
| is_a_theorem(strict_implies(X0,not(X1))) ),
inference(superposition,[],[f31963,f1615]) ).
fof(f85230,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(possibly(and(X0,X1)),not(and(X1,X0))))
| is_a_theorem(strict_implies(X0,not(X1))) ),
inference(forward_demodulation,[],[f84976,f957]) ).
fof(f85328,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(and(X1,X0),strict_implies(X1,not(X0))))
| is_a_theorem(strict_implies(X0,not(X1))) ),
inference(forward_demodulation,[],[f85230,f1820]) ).
fof(f85364,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,implies(X1,strict_implies(X1,not(X0)))))
| is_a_theorem(strict_implies(X0,not(X1))) ),
inference(forward_demodulation,[],[f85328,f9394]) ).
fof(f88761,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| ~ is_a_theorem(strict_implies(X0,X1))
| not(X0) = not(X1) ),
inference(resolution,[],[f984,f133]) ).
fof(f89087,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(not(X0),not(X1)))
| not(not(X0)) = not(not(X1)) ),
inference(superposition,[],[f88761,f976]) ).
fof(f89191,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| ~ is_a_theorem(strict_implies(X0,X1))
| not(not(X0)) = not(not(X1)) ),
inference(forward_demodulation,[],[f89087,f976]) ).
fof(f89345,plain,
! [X0,X1] :
( not(not(X0)) = X1
| ~ is_a_theorem(strict_implies(X1,X0))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f89191,f922]) ).
fof(f89416,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| X0 = X1
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f89345,f922]) ).
fof(f90428,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(X0))
| implies(X1,X1) = X0
| ~ is_a_theorem(strict_implies(X0,implies(X1,X1))) ),
inference(superposition,[],[f89416,f18198]) ).
fof(f90451,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(X0))
| implies(X1,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f90428,f10019]) ).
fof(f90574,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| implies(X0,X1) = implies(X2,X2) ),
inference(superposition,[],[f90451,f124]) ).
fof(f90576,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(necessarily(strict_implies(X0,X0)))
| strict_implies(X1,X1) = implies(X2,X2) ),
inference(superposition,[],[f90451,f24050]) ).
fof(f90626,plain,
! [X2,X3,X0,X1] :
( implies(and(X0,X1),X2) = implies(X3,X3)
| ~ is_a_theorem(strict_implies(X0,not(X1))) ),
inference(resolution,[],[f90574,f8209]) ).
fof(f90642,plain,
! [X2,X3,X0,X1] : implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)) = implies(X3,X3),
inference(resolution,[],[f90574,f127]) ).
fof(f90643,plain,
! [X2,X0,X1] : implies(and(strict_implies(X0,not(X1)),necessarily(X1)),strict_implies(X0,X1)) = implies(X2,X2),
inference(resolution,[],[f90574,f1031]) ).
fof(f90759,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| implies(not(X1),X0) = implies(X2,X2) ),
inference(superposition,[],[f90574,f336]) ).
fof(f90867,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| or(X1,X0) = implies(X2,X2) ),
inference(forward_demodulation,[],[f90759,f139]) ).
fof(f90893,plain,
! [X2,X0,X1] : implies(X2,X2) = implies(necessarily(X1),implies(strict_implies(X0,not(X1)),strict_implies(X0,X1))),
inference(forward_demodulation,[],[f90643,f8857]) ).
fof(f90894,plain,
! [X2,X3,X0,X1] : implies(X3,X3) = implies(strict_implies(X1,X2),implies(strict_implies(X0,X1),strict_implies(X0,X2))),
inference(forward_demodulation,[],[f90642,f8857]) ).
fof(f90910,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,not(X1)))
| implies(X1,implies(X0,X2)) = implies(X3,X3) ),
inference(forward_demodulation,[],[f90626,f8857]) ).
fof(f91672,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X0),implies(strict_implies(X3,X1),strict_implies(X3,X2))))
| ~ is_a_theorem(strict_implies(X1,X2)) ),
inference(superposition,[],[f10775,f90894]) ).
fof(f91818,plain,
! [X2,X3,X1] :
( is_a_theorem(implies(strict_implies(X3,X1),strict_implies(X3,X2)))
| ~ is_a_theorem(strict_implies(X1,X2)) ),
inference(forward_demodulation,[],[f91672,f18177]) ).
fof(f92276,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(strict_implies(X0,X0))
| implies(X4,X4) = or(or(or(X2,not(X1)),X3),X1) ),
inference(superposition,[],[f90867,f70998]) ).
fof(f92304,plain,
! [X2,X3,X1,X4] : implies(X4,X4) = or(or(or(X2,not(X1)),X3),X1),
inference(forward_subsumption_resolution,[],[f92276,f231]) ).
fof(f92397,plain,
! [X2,X3,X1,X4] : implies(X4,X4) = or(or(implies(X1,X2),X3),X1),
inference(forward_demodulation,[],[f92304,f1099]) ).
fof(f92447,plain,
! [X2,X3,X1,X4] : implies(X4,X4) = or(or(X2,implies(X1,X3)),X1),
inference(forward_demodulation,[],[f92397,f9395]) ).
fof(f94383,plain,
! [X2,X3,X0,X1] : necessarily(implies(X0,X0)) = strict_implies(not(or(X1,implies(X2,X3))),X2),
inference(superposition,[],[f142,f92447]) ).
fof(f94538,plain,
! [X2,X3,X0,X1] : strict_implies(X0,X0) = strict_implies(not(or(X1,implies(X2,X3))),X2),
inference(forward_demodulation,[],[f94383,f124]) ).
fof(f97696,plain,
! [X0,X1] :
( is_a_theorem(implies(strict_implies(not(X0),X1),necessarily(X0)))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(superposition,[],[f91818,f943]) ).
fof(f104493,plain,
! [X0,X1] :
( is_a_theorem(implies(strict_implies(not(X0),X1),necessarily(X1)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(superposition,[],[f97696,f336]) ).
fof(f125609,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(implies(X0,X0),implies(strict_implies(X2,not(X1)),implies(necessarily(X1),strict_implies(X2,X1))))),
inference(superposition,[],[f8941,f90893]) ).
fof(f125851,plain,
! [X2,X1] : is_a_theorem(necessarily(implies(strict_implies(X2,not(X1)),implies(necessarily(X1),strict_implies(X2,X1))))),
inference(forward_demodulation,[],[f125609,f18198]) ).
fof(f126130,plain,
! [X2,X1] : is_a_theorem(strict_implies(strict_implies(X2,not(X1)),implies(necessarily(X1),strict_implies(X2,X1)))),
inference(forward_demodulation,[],[f125851,f124]) ).
fof(f133098,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(strict_implies(X0,X0))
| implies(X5,X5) = implies(X2,implies(not(or(X1,implies(not(X2),X3))),X4)) ),
inference(superposition,[],[f90910,f94538]) ).
fof(f133132,plain,
! [X2,X3,X1,X4,X5] : implies(X5,X5) = implies(X2,implies(not(or(X1,implies(not(X2),X3))),X4)),
inference(forward_subsumption_resolution,[],[f133098,f231]) ).
fof(f133209,plain,
! [X2,X3,X1,X4,X5] : implies(X5,X5) = implies(X2,or(or(X1,implies(not(X2),X3)),X4)),
inference(forward_demodulation,[],[f133132,f139]) ).
fof(f133257,plain,
! [X2,X3,X1,X4,X5] : implies(X5,X5) = implies(X2,or(or(X1,or(X2,X3)),X4)),
inference(forward_demodulation,[],[f133209,f139]) ).
fof(f133839,plain,
! [X2,X3,X0,X1,X4] : implies(X0,X0) = or(X1,or(or(X2,or(not(X1),X3)),X4)),
inference(superposition,[],[f139,f133257]) ).
fof(f133881,plain,
! [X2,X3,X0,X1,X4] : implies(X0,X0) = or(X1,or(or(X2,implies(X1,X3)),X4)),
inference(forward_demodulation,[],[f133839,f956]) ).
fof(f134675,plain,
! [X2,X3,X0,X1,X4] : necessarily(implies(X0,X0)) = strict_implies(not(X1),or(or(X2,implies(X1,X3)),X4)),
inference(superposition,[],[f142,f133881]) ).
fof(f134840,plain,
! [X2,X3,X0,X1,X4] : strict_implies(X0,X0) = strict_implies(not(X1),or(or(X2,implies(X1,X3)),X4)),
inference(forward_demodulation,[],[f134675,f124]) ).
fof(f136844,plain,
! [X2,X3,X0,X1,X4,X5] : strict_implies(X1,X1) = strict_implies(not(implies(X2,implies(X0,X3))),or(or(X4,X0),X5)),
inference(superposition,[],[f134840,f26902]) ).
fof(f137683,plain,
! [X2,X3,X0,X1,X4,X5] : strict_implies(X1,X1) = strict_implies(and(not(implies(X0,X3)),X2),or(or(X4,X0),X5)),
inference(forward_demodulation,[],[f136844,f936]) ).
fof(f137847,plain,
! [X2,X3,X0,X1,X4,X5] : strict_implies(X1,X1) = strict_implies(X2,implies(not(implies(X0,X3)),or(or(X4,X0),X5))),
inference(forward_demodulation,[],[f137683,f9394]) ).
fof(f137923,plain,
! [X2,X3,X0,X1,X4,X5] : strict_implies(X1,X1) = strict_implies(X2,or(implies(X0,X3),or(or(X4,X0),X5))),
inference(forward_demodulation,[],[f137847,f139]) ).
fof(f137966,plain,
! [X2,X3,X0,X1,X4,X5] : strict_implies(X1,X1) = strict_implies(X2,or(X3,implies(X0,or(or(X4,X0),X5)))),
inference(forward_demodulation,[],[f137923,f9395]) ).
fof(f155013,plain,
! [X0] : strict_implies(necessarily(X0),not(not(possibly(X0)))) = not(possibly(strict_equiv(X0,not(X0)))),
inference(superposition,[],[f1100,f1063]) ).
fof(f155051,plain,
! [X0,X1] : strict_implies(strict_equiv(X0,not(X0)),X1) = strict_implies(necessarily(X0),implies(not(possibly(X0)),X1)),
inference(superposition,[],[f9394,f1063]) ).
fof(f155164,plain,
! [X0,X1] : strict_implies(strict_equiv(X0,not(X0)),X1) = strict_implies(necessarily(X0),or(possibly(X0),X1)),
inference(forward_demodulation,[],[f155051,f139]) ).
fof(f155195,plain,
! [X0] : strict_implies(necessarily(X0),possibly(X0)) = not(possibly(strict_equiv(X0,not(X0)))),
inference(forward_demodulation,[],[f155013,f737]) ).
fof(f169796,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f10624,f134]) ).
fof(f170027,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X1),X0))
| is_a_theorem(necessarily(X0))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(resolution,[],[f169796,f104493]) ).
fof(f173584,plain,
! [X0,X1] :
( is_a_theorem(necessarily(implies(implies(not(X0),X1),X1)))
| ~ is_a_theorem(strict_implies(X0,implies(implies(not(X0),X1),X1))) ),
inference(resolution,[],[f170027,f10588]) ).
fof(f173810,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(implies(not(X0),X1),X1))
| ~ is_a_theorem(strict_implies(X0,implies(implies(not(X0),X1),X1))) ),
inference(forward_demodulation,[],[f173584,f124]) ).
fof(f173914,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(or(X0,X1),X1))
| ~ is_a_theorem(strict_implies(X0,implies(implies(not(X0),X1),X1))) ),
inference(forward_demodulation,[],[f173810,f139]) ).
fof(f173978,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,implies(or(X0,X1),X1)))
| is_a_theorem(strict_implies(or(X0,X1),X1)) ),
inference(forward_demodulation,[],[f173914,f139]) ).
fof(f174018,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(or(X0,X1),X1))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f173978,f13604]) ).
fof(f174053,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| or(X0,X1) = X1
| ~ is_a_theorem(strict_implies(X1,or(X0,X1))) ),
inference(resolution,[],[f174018,f89416]) ).
fof(f174152,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| or(X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f174053,f1984]) ).
fof(f174205,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = or(X0,implies(implies(X0,X1),X1)),
inference(resolution,[],[f174152,f10588]) ).
fof(f174223,plain,
! [X0,X1] :
( or(not(X0),X1) = X1
| ~ is_a_theorem(necessarily(X0)) ),
inference(resolution,[],[f174152,f6869]) ).
fof(f174244,plain,
! [X2,X0,X1] :
( or(and(X0,not(X1)),X2) = X2
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f174152,f8445]) ).
fof(f174403,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| or(not(X1),X0) = X0 ),
inference(superposition,[],[f174152,f336]) ).
fof(f174524,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| implies(X1,X0) = X0 ),
inference(forward_demodulation,[],[f174403,f956]) ).
fof(f174585,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| implies(implies(X0,X1),X2) = X2 ),
inference(forward_demodulation,[],[f174244,f141]) ).
fof(f174599,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(X0))
| implies(X0,X1) = X1 ),
inference(forward_demodulation,[],[f174223,f956]) ).
fof(f174605,plain,
! [X0,X1] : or(X0,X1) = implies(implies(X0,X1),X1),
inference(forward_demodulation,[],[f174205,f13530]) ).
fof(f174717,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X1),X2))
| implies(implies(X0,X1),X2) = X2 ),
inference(resolution,[],[f174524,f12623]) ).
fof(f176287,plain,
! [X0,X1] : or(not(X0),X1) = implies(or(X0,X1),X1),
inference(superposition,[],[f174605,f139]) ).
fof(f176529,plain,
! [X0,X1] : or(X0,not(X1)) = not(and(X1,implies(X0,not(X1)))),
inference(superposition,[],[f957,f174605]) ).
fof(f176594,plain,
! [X0,X1] : or(X0,not(X1)) = not(and(X1,not(and(X1,X0)))),
inference(forward_demodulation,[],[f176529,f957]) ).
fof(f176690,plain,
! [X0,X1] : implies(X0,X1) = implies(or(X0,X1),X1),
inference(forward_demodulation,[],[f176287,f956]) ).
fof(f176744,plain,
! [X0,X1] : or(X0,not(X1)) = implies(X1,and(X1,X0)),
inference(forward_demodulation,[],[f176594,f137]) ).
fof(f176812,plain,
! [X0,X1] : implies(X1,X0) = implies(X1,and(X1,X0)),
inference(forward_demodulation,[],[f176744,f1099]) ).
fof(f176827,plain,
! [X0,X1] : implies(X1,X0) = implies(X1,and(X0,X1)),
inference(superposition,[],[f176812,f219]) ).
fof(f176911,plain,
! [X0,X1] : strict_implies(X0,and(X0,X1)) = strict_implies(X0,implies(X0,X1)),
inference(superposition,[],[f9517,f176812]) ).
fof(f177062,plain,
! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(and(X1,X0),and(and(X0,X1),X2)),
inference(superposition,[],[f1444,f176812]) ).
fof(f177090,plain,
! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(X1,and(and(X0,X1),X2))),
inference(forward_demodulation,[],[f177062,f8857]) ).
fof(f177139,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(X0,and(X0,X1)),
inference(forward_demodulation,[],[f176911,f9517]) ).
fof(f177182,plain,
! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(X1,and(X1,and(X0,X2)))),
inference(forward_demodulation,[],[f177090,f8811]) ).
fof(f177227,plain,
! [X2,X0,X1] : implies(and(X0,X1),X2) = implies(X0,implies(X1,and(X0,X2))),
inference(forward_demodulation,[],[f177182,f176812]) ).
fof(f177255,plain,
! [X2,X0,X1] : implies(X1,implies(X0,X2)) = implies(X0,implies(X1,and(X0,X2))),
inference(forward_demodulation,[],[f177227,f8857]) ).
fof(f177297,plain,
! [X2,X0,X1] : implies(and(implies(X2,X1),X0),and(X0,X1)) = implies(and(implies(X2,X1),X0),X1),
inference(superposition,[],[f176827,f13218]) ).
fof(f177365,plain,
! [X0,X1] : strict_implies(X0,and(X1,X0)) = strict_implies(X0,implies(X0,X1)),
inference(superposition,[],[f9517,f176827]) ).
fof(f177595,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(X0,and(X1,X0)),
inference(forward_demodulation,[],[f177365,f9517]) ).
fof(f177628,plain,
! [X2,X0,X1] : implies(and(implies(X2,X1),X0),and(X0,X1)) = implies(X0,implies(implies(X2,X1),X1)),
inference(forward_demodulation,[],[f177297,f8857]) ).
fof(f177684,plain,
! [X2,X0,X1] : implies(X0,or(X2,X1)) = implies(and(implies(X2,X1),X0),and(X0,X1)),
inference(forward_demodulation,[],[f177628,f174605]) ).
fof(f177715,plain,
! [X2,X0,X1] : implies(X0,or(X2,X1)) = implies(X0,implies(implies(X2,X1),and(X0,X1))),
inference(forward_demodulation,[],[f177684,f8857]) ).
fof(f177730,plain,
! [X2,X0,X1] : implies(X0,or(X2,X1)) = implies(implies(X2,X1),implies(X0,X1)),
inference(forward_demodulation,[],[f177715,f177255]) ).
fof(f177858,plain,
! [X2,X0,X1] : strict_implies(or(X0,X1),X1) = strict_implies(implies(X1,X2),implies(X0,X1)),
inference(superposition,[],[f14798,f176690]) ).
fof(f178064,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(or(X0,X1),X1),
inference(forward_demodulation,[],[f177858,f14798]) ).
fof(f178358,plain,
! [X0,X1] : strict_implies(implies(not(X0),X1),X0) = strict_implies(not(X0),not(X1)),
inference(superposition,[],[f341,f177139]) ).
fof(f178548,plain,
! [X0,X1] : strict_implies(X1,X0) = strict_implies(implies(not(X0),X1),X0),
inference(forward_demodulation,[],[f178358,f976]) ).
fof(f178675,plain,
! [X0,X1] : strict_implies(X1,X0) = strict_implies(or(X0,X1),X0),
inference(forward_demodulation,[],[f178548,f139]) ).
fof(f179304,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(and(X1,X0),X0))
| not(X0) = not(and(X1,X0)) ),
inference(superposition,[],[f88761,f177595]) ).
fof(f179334,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| and(X1,X0) = or(X0,and(X1,X0)) ),
inference(superposition,[],[f174152,f177595]) ).
fof(f179540,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| and(X1,X0) = X0 ),
inference(forward_demodulation,[],[f179334,f11563]) ).
fof(f179554,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| not(X0) = not(and(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f179304,f279]) ).
fof(f179848,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = strict_implies(implies(X0,X1),not(X0)),
inference(superposition,[],[f178675,f956]) ).
fof(f179886,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X2,or(X1,X0)))
| ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_implies(X2,X1)) ),
inference(superposition,[],[f145,f178675]) ).
fof(f179978,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(or(X1,X0),not(X1)),implies(necessarily(X1),strict_implies(X0,X1)))),
inference(superposition,[],[f126130,f178675]) ).
fof(f179987,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| or(or(X1,X0),X1) = X1 ),
inference(superposition,[],[f174152,f178675]) ).
fof(f180203,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| or(X1,X0) = X1 ),
inference(forward_demodulation,[],[f179987,f12428]) ).
fof(f180204,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(possibly(X1)),implies(necessarily(X1),strict_implies(X0,X1)))),
inference(forward_demodulation,[],[f179978,f11322]) ).
fof(f180317,plain,
! [X0,X1] : is_a_theorem(strict_implies(necessarily(X1),or(possibly(X1),strict_implies(X0,X1)))),
inference(forward_demodulation,[],[f180204,f38091]) ).
fof(f180360,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_equiv(X1,not(X1)),strict_implies(X0,X1))),
inference(forward_demodulation,[],[f180317,f155164]) ).
fof(f181285,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(strict_implies(implies(X1,X0),not(not(X1))),necessarily(not(X1))),strict_implies(X0,not(X1)))),
inference(superposition,[],[f1031,f179848]) ).
fof(f181434,plain,
! [X0,X1] : is_a_theorem(strict_implies(necessarily(not(X1)),implies(strict_implies(implies(X1,X0),not(not(X1))),strict_implies(X0,not(X1))))),
inference(forward_demodulation,[],[f181285,f9394]) ).
fof(f181616,plain,
! [X0,X1] : is_a_theorem(strict_implies(necessarily(not(X1)),implies(strict_implies(implies(X1,X0),X1),strict_implies(X0,not(X1))))),
inference(forward_demodulation,[],[f181434,f685]) ).
fof(f181715,plain,
! [X0,X1] : is_a_theorem(strict_implies(necessarily(not(X1)),implies(necessarily(X1),strict_implies(X0,not(X1))))),
inference(forward_demodulation,[],[f181616,f11150]) ).
fof(f181753,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(possibly(X1)),implies(necessarily(X1),strict_implies(X0,not(X1))))),
inference(forward_demodulation,[],[f181715,f937]) ).
fof(f181769,plain,
! [X0,X1] : is_a_theorem(strict_implies(necessarily(X1),or(possibly(X1),strict_implies(X0,not(X1))))),
inference(forward_demodulation,[],[f181753,f38091]) ).
fof(f181773,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_equiv(X1,not(X1)),strict_implies(X0,not(X1)))),
inference(forward_demodulation,[],[f181769,f155164]) ).
fof(f188684,plain,
! [X0] : is_a_theorem(strict_implies(strict_equiv(X0,not(X0)),not(X0))),
inference(resolution,[],[f181773,f32033]) ).
fof(f189328,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_equiv(implies(X0,X0),not(implies(X1,X1))),not(implies(X1,X1)))),
inference(superposition,[],[f188684,f23212]) ).
fof(f189371,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_equiv(implies(X0,X0),not(implies(X1,X1))),and(not(X1),X1))),
inference(forward_demodulation,[],[f189328,f749]) ).
fof(f189387,plain,
! [X0,X1] : is_a_theorem(not(possibly(strict_equiv(implies(X0,X0),not(implies(X1,X1)))))),
inference(forward_demodulation,[],[f189371,f19485]) ).
fof(f189392,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X0),not(necessarily(not(implies(X1,X1)))))),
inference(forward_demodulation,[],[f189387,f84196]) ).
fof(f189397,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X0),possibly(implies(X1,X1)))),
inference(forward_demodulation,[],[f189392,f125]) ).
fof(f190280,plain,
! [X2,X0,X1] :
( implies(X0,X1) = or(implies(X0,X1),not(X2))
| ~ is_a_theorem(strict_implies(X0,X2)) ),
inference(resolution,[],[f180203,f10030]) ).
fof(f190724,plain,
! [X2,X0,X1] :
( implies(X0,X1) = or(X1,implies(X0,not(X2)))
| ~ is_a_theorem(strict_implies(X0,X2)) ),
inference(forward_demodulation,[],[f190280,f9395]) ).
fof(f190847,plain,
! [X2,X0,X1] :
( implies(X0,X1) = or(X1,not(and(X2,X0)))
| ~ is_a_theorem(strict_implies(X0,X2)) ),
inference(forward_demodulation,[],[f190724,f957]) ).
fof(f190883,plain,
! [X2,X0,X1] :
( implies(X0,X1) = implies(and(X2,X0),X1)
| ~ is_a_theorem(strict_implies(X0,X2)) ),
inference(forward_demodulation,[],[f190847,f1099]) ).
fof(f190902,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X2))
| implies(X0,X1) = implies(X0,implies(X2,X1)) ),
inference(forward_demodulation,[],[f190883,f8857]) ).
fof(f192439,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X0))
| is_a_theorem(not(not(possibly(implies(X1,X1))))) ),
inference(resolution,[],[f189397,f763]) ).
fof(f192589,plain,
! [X1] : is_a_theorem(not(not(possibly(implies(X1,X1))))),
inference(forward_subsumption_resolution,[],[f192439,f231]) ).
fof(f192613,plain,
! [X1] : is_a_theorem(possibly(implies(X1,X1))),
inference(forward_demodulation,[],[f192589,f654]) ).
fof(f192621,plain,
( $false
| ~ spl1_38 ),
inference(forward_subsumption_resolution,[],[f192613,f40717]) ).
fof(f192622,plain,
~ spl1_38,
inference(avatar_contradiction_clause,[],[f192621]) ).
fof(f198158,plain,
! [X0] : not(strict_equiv(X0,not(X0))) = not(and(not(X0),strict_equiv(X0,not(X0)))),
inference(resolution,[],[f179554,f188684]) ).
fof(f198430,plain,
! [X0] : not(strict_equiv(X0,not(X0))) = implies(strict_equiv(X0,not(X0)),X0),
inference(forward_demodulation,[],[f198158,f287]) ).
fof(f201691,plain,
! [X0] : is_a_theorem(strict_implies(strict_equiv(X0,not(X0)),X0)),
inference(resolution,[],[f180360,f32033]) ).
fof(f205025,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(necessarily(X0),X1))
| is_a_theorem(strict_implies(or(strict_implies(not(necessarily(X0)),X0),X1),X1)) ),
inference(resolution,[],[f179886,f36494]) ).
fof(f205204,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(strict_implies(not(necessarily(X0)),X0),X1))
| ~ is_a_theorem(strict_implies(necessarily(X0),X1)) ),
inference(forward_demodulation,[],[f205025,f178064]) ).
fof(f207020,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(necessarily(X0)),X0))
| ~ is_a_theorem(strict_implies(necessarily(X0),X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f205204,f135]) ).
fof(f207286,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(necessarily(implies(X0,X0)),X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f207020,f10019]) ).
fof(f207388,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(strict_implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(forward_demodulation,[],[f207286,f124]) ).
fof(f240537,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),not(X1)))
| not(and(not(X0),X1)) = implies(implies(X2,X0),not(and(not(X0),X1))) ),
inference(superposition,[],[f174717,f9680]) ).
fof(f240564,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| not(and(not(X0),X1)) = implies(implies(X2,X0),not(and(not(X0),X1))) ),
inference(forward_demodulation,[],[f240537,f976]) ).
fof(f240645,plain,
! [X2,X0,X1] :
( not(and(not(X0),X1)) = not(and(and(not(X0),X1),implies(X2,X0)))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(forward_demodulation,[],[f240564,f957]) ).
fof(f240705,plain,
! [X2,X0,X1] :
( not(and(not(X0),X1)) = implies(implies(X2,X0),implies(X1,X0))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(forward_demodulation,[],[f240645,f1087]) ).
fof(f240726,plain,
! [X2,X0,X1] :
( not(and(not(X0),X1)) = implies(X1,or(X2,X0))
| ~ is_a_theorem(strict_implies(X1,X0)) ),
inference(forward_demodulation,[],[f240705,f177730]) ).
fof(f240739,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| implies(X1,X0) = implies(X1,or(X2,X0)) ),
inference(forward_demodulation,[],[f240726,f287]) ).
fof(f240898,plain,
! [X0,X1] : implies(strict_equiv(X0,not(X0)),not(X0)) = implies(strict_equiv(X0,not(X0)),or(X1,not(X0))),
inference(resolution,[],[f240739,f188684]) ).
fof(f241194,plain,
! [X0,X1] : implies(strict_equiv(X0,not(X0)),not(X0)) = implies(strict_equiv(X0,not(X0)),implies(X0,X1)),
inference(forward_demodulation,[],[f240898,f1099]) ).
fof(f241369,plain,
! [X0,X1] : not(and(X0,strict_equiv(X0,not(X0)))) = implies(strict_equiv(X0,not(X0)),implies(X0,X1)),
inference(forward_demodulation,[],[f241194,f957]) ).
fof(f242596,plain,
! [X0,X1] : implies(implies(strict_equiv(X0,not(X0)),X0),X1) = X1,
inference(resolution,[],[f201691,f174585]) ).
fof(f242602,plain,
! [X0] : not(strict_equiv(X0,not(X0))) = not(and(X0,strict_equiv(X0,not(X0)))),
inference(resolution,[],[f201691,f179554]) ).
fof(f242611,plain,
! [X0,X1] : implies(strict_equiv(X0,not(X0)),X1) = implies(strict_equiv(X0,not(X0)),implies(X0,X1)),
inference(resolution,[],[f201691,f190902]) ).
fof(f242735,plain,
! [X0,X1] : implies(strict_equiv(X0,not(X0)),X1) = not(and(X0,strict_equiv(X0,not(X0)))),
inference(forward_demodulation,[],[f242611,f241369]) ).
fof(f242742,plain,
! [X0,X1] : implies(not(strict_equiv(X0,not(X0))),X1) = X1,
inference(forward_demodulation,[],[f242596,f198430]) ).
fof(f242762,plain,
! [X0,X1] : not(strict_equiv(X0,not(X0))) = implies(strict_equiv(X0,not(X0)),X1),
inference(forward_demodulation,[],[f242735,f242602]) ).
fof(f242764,plain,
! [X0,X1] : or(strict_equiv(X0,not(X0)),X1) = X1,
inference(forward_demodulation,[],[f242742,f139]) ).
fof(f242979,plain,
! [X0,X1] : or(X0,strict_equiv(X1,not(X1))) = X0,
inference(superposition,[],[f332,f242764]) ).
fof(f243434,plain,
! [X2,X3,X0,X1,X4,X5] : strict_implies(X1,X1) = strict_implies(X2,or(X3,implies(strict_equiv(X4,not(X4)),or(X0,X5)))),
inference(superposition,[],[f137966,f242979]) ).
fof(f243529,plain,
! [X2,X3,X1,X4] : strict_implies(X1,X1) = strict_implies(X2,or(X3,not(strict_equiv(X4,not(X4))))),
inference(forward_demodulation,[],[f243434,f242762]) ).
fof(f243586,plain,
! [X2,X3,X1,X4] : strict_implies(X1,X1) = strict_implies(X2,implies(strict_equiv(X4,not(X4)),X3)),
inference(forward_demodulation,[],[f243529,f1099]) ).
fof(f243604,plain,
! [X2,X1,X4] : strict_implies(X1,X1) = strict_implies(X2,not(strict_equiv(X4,not(X4)))),
inference(forward_demodulation,[],[f243586,f242762]) ).
fof(f244724,plain,
! [X0,X1] : strict_implies(X0,X0) = not(possibly(strict_equiv(X1,not(X1)))),
inference(superposition,[],[f11497,f243604]) ).
fof(f244817,plain,
! [X0,X1] : strict_implies(X0,X0) = strict_implies(necessarily(X1),possibly(X1)),
inference(forward_demodulation,[],[f244724,f155195]) ).
fof(f246443,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X0))
| ~ is_a_theorem(strict_implies(X2,necessarily(X1)))
| is_a_theorem(strict_implies(X2,possibly(X1))) ),
inference(superposition,[],[f145,f244817]) ).
fof(f246616,plain,
! [X2,X1] :
( ~ is_a_theorem(strict_implies(X2,necessarily(X1)))
| is_a_theorem(strict_implies(X2,possibly(X1))) ),
inference(forward_subsumption_resolution,[],[f246443,f231]) ).
fof(f247227,plain,
! [X0] : is_a_theorem(strict_implies(possibly(necessarily(X0)),possibly(X0))),
inference(resolution,[],[f246616,f1002]) ).
fof(f248879,plain,
! [X0,X1] : is_a_theorem(strict_implies(possibly(necessarily(not(implies(X0,X1)))),not(strict_implies(X0,X1)))),
inference(superposition,[],[f247227,f723]) ).
fof(f248888,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(necessarily(possibly(implies(X0,X1)))),not(strict_implies(X0,X1)))),
inference(forward_demodulation,[],[f248879,f149]) ).
fof(f248902,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),necessarily(possibly(implies(X0,X1))))),
inference(forward_demodulation,[],[f248888,f976]) ).
fof(f261895,plain,
! [X0] : is_a_theorem(necessarily(possibly(implies(X0,X0)))),
inference(resolution,[],[f248902,f207388]) ).
fof(f369442,plain,
! [X0,X1] : implies(possibly(implies(X0,X0)),X1) = X1,
inference(resolution,[],[f261895,f174599]) ).
fof(f369879,plain,
! [X0,X1] : necessarily(X0) = strict_implies(possibly(implies(X1,X1)),X0),
inference(superposition,[],[f124,f369442]) ).
fof(f370721,plain,
! [X0,X1] : is_a_theorem(necessarily(or(X0,necessarily(possibly(implies(X1,X1)))))),
inference(superposition,[],[f68240,f369879]) ).
fof(f370748,plain,
! [X0,X1] : strict_equiv(implies(possibly(implies(X0,X0)),possibly(implies(X0,X0))),X1) = and(necessarily(X1),necessarily(possibly(implies(X0,X0)))),
inference(superposition,[],[f19023,f369879]) ).
fof(f371518,plain,
! [X0,X1] : strict_equiv(possibly(implies(X0,X0)),X1) = and(necessarily(X1),necessarily(possibly(implies(X0,X0)))),
inference(forward_demodulation,[],[f370748,f369442]) ).
fof(f371530,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(X0),necessarily(possibly(implies(X1,X1))))),
inference(forward_demodulation,[],[f370721,f142]) ).
fof(f371871,plain,
! [X0,X1] : implies(necessarily(possibly(implies(X0,X0))),X1) = X1,
inference(resolution,[],[f371530,f174524]) ).
fof(f372512,plain,
! [X0,X1] : necessarily(X0) = strict_implies(necessarily(possibly(implies(X1,X1))),X0),
inference(superposition,[],[f124,f371871]) ).
fof(f373837,plain,
! [X0] : is_a_theorem(necessarily(and(necessarily(possibly(implies(X0,X0))),necessarily(possibly(implies(X0,X0)))))),
inference(superposition,[],[f128,f372512]) ).
fof(f374050,plain,
! [X0] : is_a_theorem(necessarily(strict_equiv(possibly(implies(X0,X0)),possibly(implies(X0,X0))))),
inference(forward_demodulation,[],[f373837,f371518]) ).
fof(f374362,plain,
! [X0] : is_a_theorem(necessarily(strict_implies(possibly(implies(X0,X0)),possibly(implies(X0,X0))))),
inference(forward_demodulation,[],[f374050,f243]) ).
fof(f374509,plain,
( $false
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f374362,f23842]) ).
fof(f374510,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f374509]) ).
fof(f374609,plain,
( ! [X2,X1] : strict_implies(X1,X1) = implies(X2,X2)
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f90576,f24057]) ).
fof(f375541,plain,
( ! [X0,X1] : strict_implies(X1,X1) = necessarily(strict_implies(X0,X0))
| ~ spl1_20 ),
inference(superposition,[],[f124,f374609]) ).
fof(f375795,plain,
( ! [X0,X1] : necessarily(X1) = strict_implies(strict_implies(X0,X0),X1)
| ~ spl1_20 ),
inference(superposition,[],[f14377,f374609]) ).
fof(f377143,plain,
( ! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(X1,X1),or(X2,necessarily(strict_implies(X0,X0)))))
| ~ spl1_20 ),
inference(superposition,[],[f53832,f375541]) ).
fof(f378456,plain,
( ! [X2,X0] : is_a_theorem(necessarily(or(X2,necessarily(strict_implies(X0,X0)))))
| ~ spl1_20 ),
inference(forward_demodulation,[],[f377143,f375795]) ).
fof(f378722,plain,
( ! [X2,X0] : is_a_theorem(strict_implies(not(X2),necessarily(strict_implies(X0,X0))))
| ~ spl1_20 ),
inference(forward_demodulation,[],[f378456,f142]) ).
fof(f379007,plain,
( ! [X0,X1] : implies(necessarily(strict_implies(X0,X0)),X1) = X1
| ~ spl1_20 ),
inference(resolution,[],[f378722,f174524]) ).
fof(f380483,plain,
( ! [X2,X0] : implies(necessarily(necessarily(strict_implies(X0,X0))),X2) = X2
| ~ spl1_20 ),
inference(superposition,[],[f379007,f375541]) ).
fof(f380756,plain,
( ! [X0,X1] : necessarily(X0) = strict_implies(necessarily(strict_implies(X1,X1)),X0)
| ~ spl1_20 ),
inference(superposition,[],[f124,f379007]) ).
fof(f380802,plain,
( ! [X0,X1] : necessarily(necessarily(strict_implies(X1,X1))) = strict_implies(X0,necessarily(strict_implies(X1,X1)))
| ~ spl1_20 ),
inference(superposition,[],[f11150,f379007]) ).
fof(f381879,plain,
( ! [X2,X3,X0,X1] : implies(X1,X1) = implies(necessarily(X0),implies(strict_implies(X3,necessarily(strict_implies(X2,X2))),strict_implies(X3,X0)))
| ~ spl1_20 ),
inference(superposition,[],[f90894,f380756]) ).
fof(f382382,plain,
( ! [X2,X3,X0,X1] : implies(X1,X1) = implies(necessarily(X0),implies(necessarily(necessarily(strict_implies(X2,X2))),strict_implies(X3,X0)))
| ~ spl1_20 ),
inference(forward_demodulation,[],[f381879,f380802]) ).
fof(f382661,plain,
( ! [X3,X0,X1] : implies(X1,X1) = implies(necessarily(X0),strict_implies(X3,X0))
| ~ spl1_20 ),
inference(forward_demodulation,[],[f382382,f380483]) ).
fof(f383651,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,implies(X0,X0)))
| is_a_theorem(strict_implies(X1,not(necessarily(not(X1))))) )
| ~ spl1_20 ),
inference(superposition,[],[f85364,f382661]) ).
fof(f384041,plain,
( ! [X1] : is_a_theorem(strict_implies(X1,not(necessarily(not(X1)))))
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f383651,f10019]) ).
fof(f384385,plain,
( ! [X1] : is_a_theorem(strict_implies(X1,possibly(X1)))
| ~ spl1_20 ),
inference(forward_demodulation,[],[f384041,f125]) ).
fof(f384603,plain,
( ! [X0] : and(possibly(X0),X0) = X0
| ~ spl1_20 ),
inference(resolution,[],[f384385,f179540]) ).
fof(f384628,plain,
( ! [X0,X1] : implies(X1,X1) = or(possibly(not(X0)),X0)
| ~ spl1_20 ),
inference(resolution,[],[f384385,f90867]) ).
fof(f384747,plain,
( ! [X0,X1] : implies(X1,X1) = or(not(necessarily(X0)),X0)
| ~ spl1_20 ),
inference(forward_demodulation,[],[f384628,f954]) ).
fof(f384794,plain,
( ! [X0,X1] : implies(necessarily(X0),X0) = implies(X1,X1)
| ~ spl1_20 ),
inference(forward_demodulation,[],[f384747,f956]) ).
fof(f385419,plain,
( ! [X0,X1] : strict_implies(X1,X1) = necessarily(implies(necessarily(X0),X0))
| ~ spl1_20 ),
inference(superposition,[],[f124,f384794]) ).
fof(f385967,plain,
( ! [X0,X1] : strict_implies(X1,X1) = strict_implies(necessarily(X0),X0)
| ~ spl1_20 ),
inference(forward_demodulation,[],[f385419,f124]) ).
fof(f387418,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X0))
| necessarily(X1) = X1
| ~ is_a_theorem(strict_implies(X1,necessarily(X1))) )
| ~ spl1_20 ),
inference(superposition,[],[f89416,f385967]) ).
fof(f387766,plain,
( ! [X1] :
( ~ is_a_theorem(strict_implies(X1,necessarily(X1)))
| necessarily(X1) = X1 )
| ~ spl1_20 ),
inference(forward_subsumption_resolution,[],[f387418,f231]) ).
fof(f415713,plain,
( ! [X0] : possibly(X0) = necessarily(possibly(X0))
| ~ spl1_20 ),
inference(resolution,[],[f387766,f126]) ).
fof(f416426,plain,
( ! [X0] : necessarily(X0) = possibly(necessarily(X0))
| ~ spl1_20 ),
inference(superposition,[],[f17160,f384603]) ).
fof(f572551,plain,
( ! [X0] : necessarily(X0) = necessarily(necessarily(X0))
| ~ spl1_20 ),
inference(superposition,[],[f415713,f416426]) ).
fof(f572816,plain,
( ~ is_a_theorem(implies(necessarily(sK0),necessarily(sK0)))
| ~ spl1_20 ),
inference(superposition,[],[f132,f572551]) ).
fof(f573438,plain,
( $false
| ~ spl1_20
| ~ spl1_41 ),
inference(forward_subsumption_resolution,[],[f572816,f40738]) ).
fof(f573439,plain,
( ~ spl1_20
| ~ spl1_41 ),
inference(avatar_contradiction_clause,[],[f573438]) ).
cnf(s37,plain,
( spl1_16
| spl1_20 ),
inference(sat_conversion,[],[f24059]) ).
cnf(s143,plain,
( ~ spl1_3
| spl1_41 ),
inference(sat_conversion,[],[f40897]) ).
cnf(s152,plain,
( spl1_3
| spl1_38 ),
inference(sat_conversion,[],[f40909]) ).
cnf(s512,plain,
~ spl1_38,
inference(sat_conversion,[],[f192622]) ).
cnf(s578,plain,
~ spl1_16,
inference(sat_conversion,[],[f374510]) ).
cnf(s599,plain,
( ~ spl1_20
| ~ spl1_41 ),
inference(sat_conversion,[],[f573439]) ).
cnf(s622,plain,
spl1_3,
inference(rat,[],[s152,s512]) ).
cnf(s623,plain,
spl1_41,
inference(rat,[],[s143,s622]) ).
cnf(s624,plain,
~ spl1_20,
inference(rat,[],[s599,s623]) ).
cnf(s680,plain,
$false,
inference(rat,[],[s37,s624,s578]) ).
fof(f573505,plain,
$false,
inference(avatar_sat_refutation,[],[s680]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL574+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 16:05:10 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.39 Running first-order theorem proving
% 0.04/0.39 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
% 9.75/2.20 % (1420003)Detected formulas, will run a generic FOF schedule.
% 9.75/2.20 % (1420012)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=644760317:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.75/2.20 % (1420012)Refutation not found, incomplete strategy
% 9.75/2.20 % (1420012)------------------------------
% 9.75/2.20 % (1420012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.20 % (1420012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.20 % (1420012)CaDiCaL version: 2.1.3
% 9.75/2.20 % (1420012)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.20 % (1420012)Time elapsed: 0.0000 s
% 9.75/2.20 % (1420012)Peak memory usage: 87 MB
% 9.75/2.20 % (1420009)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=4109065644:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.75/2.20 % (1420008)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=1865958184:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.75/2.20 % (1420010)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=2602208491:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.75/2.20 % (1420011)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3129935742:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.75/2.20 % (1420011)Refutation not found, incomplete strategy
% 9.75/2.20 % (1420011)------------------------------
% 9.75/2.20 % (1420011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.20 % (1420011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.20 % (1420011)CaDiCaL version: 2.1.3
% 9.75/2.20 % (1420011)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.20 % (1420011)Time elapsed: 0.001 s
% 9.75/2.20 % (1420011)Peak memory usage: 87 MB
% 9.75/2.20 % (1420013)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=398260483:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.75/2.20 % (1420014)dis-21_1_sil=8000:lcm=predicate:random_seed=3673400153: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)
% 9.75/2.20 % (1420014)Refutation not found, incomplete strategy
% 9.75/2.20 % (1420014)------------------------------
% 9.75/2.20 % (1420014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.20 % (1420014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.20 % (1420014)CaDiCaL version: 2.1.3
% 9.75/2.20 % (1420014)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.20 % (1420014)Time elapsed: 0.001 s
% 9.75/2.20 % (1420014)Peak memory usage: 88 MB
% 9.75/2.20 % (1420014)Instructions burned: 1 (million)
% 9.75/2.20 % (1420013)Instruction limit reached!
% 9.75/2.20 % (1420013)------------------------------
% 9.75/2.20 % (1420013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.20 % (1420013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.20 % (1420013)CaDiCaL version: 2.1.3
% 9.75/2.20 % (1420013)Termination reason: Instruction limit
% 9.75/2.20 % (1420013)Termination phase: Saturation
% 9.75/2.20 % (1420013)Time elapsed: 0.096 s
% 9.75/2.20 % (1420013)Peak memory usage: 90 MB
% 9.75/2.20 % (1420013)Instructions burned: 140 (million)
% 9.75/2.20 % (1420012)------------------------------
% 9.75/2.20 % (1420012)------------------------------
% 9.75/2.20 % (1420023)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1972883852:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.75/2.20 % (1420023)Refutation not found, incomplete strategy
% 9.75/2.20 % (1420023)------------------------------
% 9.75/2.20 % (1420023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.20 % (1420023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.20 % (1420023)CaDiCaL version: 2.1.3
% 9.75/2.20 % (1420023)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.20 % (1420023)Time elapsed: 0.0000 s
% 9.75/2.20 % (1420023)Peak memory usage: 87 MB
% 9.75/2.20 % (1420022)lrs+10_1_sil=8000:sp=occurrence:random_seed=1436521789:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.27/2.67 % (1420022)Refutation not found, incomplete strategy
% 12.27/2.67 % (1420022)------------------------------
% 12.27/2.67 % (1420022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.67 % (1420022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.67 % (1420022)CaDiCaL version: 2.1.3
% 12.27/2.67 % (1420022)Termination reason: Refutation not found, incomplete strategy
% 12.27/2.67 % (1420022)Time elapsed: 0.001 s
% 12.27/2.67 % (1420022)Peak memory usage: 87 MB
% 12.27/2.67 % (1420011)------------------------------
% 12.27/2.67 % (1420011)------------------------------
% 12.27/2.67 % (1420014)------------------------------
% 12.27/2.67 % (1420014)------------------------------
% 12.27/2.67 % (1420023)------------------------------
% 12.27/2.67 % (1420023)------------------------------
% 12.27/2.67 % (1420026)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2338987975:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.27/2.67 % (1420027)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=3449142083:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.27/2.67 % (1420026)Refutation not found, incomplete strategy
% 12.27/2.67 % (1420026)------------------------------
% 12.27/2.67 % (1420026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.67 % (1420026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.67 % (1420026)CaDiCaL version: 2.1.3
% 12.27/2.67 % (1420026)Termination reason: Refutation not found, incomplete strategy
% 12.27/2.67 % (1420026)Time elapsed: 0.001 s
% 12.27/2.67 % (1420026)Peak memory usage: 87 MB
% 12.27/2.67 % (1420028)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=649060296:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 12.27/2.67 % (1420028)Refutation not found, incomplete strategy
% 12.27/2.67 % (1420028)------------------------------
% 12.27/2.67 % (1420028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.67 % (1420028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.67 % (1420028)CaDiCaL version: 2.1.3
% 12.27/2.67 % (1420028)Termination reason: Refutation not found, incomplete strategy
% 12.27/2.67 % (1420028)Time elapsed: 0.0000 s
% 12.27/2.67 % (1420028)Peak memory usage: 87 MB
% 12.27/2.67 % (1420022)------------------------------
% 12.27/2.67 % (1420022)------------------------------
% 12.27/2.67 % (1420027)Instruction limit reached!
% 12.27/2.67 % (1420027)------------------------------
% 12.27/2.67 % (1420027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.67 % (1420027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.67 % (1420027)CaDiCaL version: 2.1.3
% 12.27/2.67 % (1420027)Termination reason: Instruction limit
% 12.27/2.67 % (1420027)Termination phase: Saturation
% 12.27/2.67 % (1420027)Time elapsed: 0.144 s
% 12.27/2.67 % (1420027)Peak memory usage: 92 MB
% 12.27/2.67 % (1420027)Instructions burned: 249 (million)
% 12.27/2.67 % (1420010)Refutation not found, incomplete strategy
% 12.27/2.67 % (1420010)------------------------------
% 12.27/2.67 % (1420010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.67 % (1420010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.67 % (1420010)CaDiCaL version: 2.1.3
% 12.27/2.67 % (1420010)Termination reason: Refutation not found, incomplete strategy
% 12.27/2.67 % (1420010)Time elapsed: 0.557 s
% 12.27/2.67 % (1420010)Peak memory usage: 126 MB
% 12.27/2.67 % (1420010)Instructions burned: 828 (million)
% 12.27/2.67 % (1420032)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3198150337:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.27/2.67 % (1420028)------------------------------
% 12.27/2.67 % (1420028)------------------------------
% 12.27/2.67 % (1420026)------------------------------
% 12.27/2.67 % (1420026)------------------------------
% 12.27/2.67 % (1420033)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=596666416:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.27/2.67 % (1420033)Refutation not found, incomplete strategy
% 12.27/2.67 % (1420033)------------------------------
% 12.27/2.67 % (1420033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.67 % (1420033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.95 % (1420033)CaDiCaL version: 2.1.3
% 13.94/2.95 % (1420033)Termination reason: Refutation not found, incomplete strategy
% 13.94/2.95 % (1420033)Time elapsed: 0.001 s
% 13.94/2.95 % (1420033)Peak memory usage: 88 MB
% 13.94/2.95 % (1420035)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3994715698:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.94/2.95 % (1420035)Instruction limit reached!
% 13.94/2.95 % (1420035)------------------------------
% 13.94/2.95 % (1420035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.95 % (1420035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.95 % (1420035)CaDiCaL version: 2.1.3
% 13.94/2.95 % (1420035)Termination reason: Instruction limit
% 13.94/2.95 % (1420035)Termination phase: Saturation
% 13.94/2.95 % (1420035)Time elapsed: 0.036 s
% 13.94/2.95 % (1420035)Peak memory usage: 89 MB
% 13.94/2.95 % (1420035)Instructions burned: 128 (million)
% 13.94/2.95 % (1420036)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=520751375:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 13.94/2.95 % (1420036)Refutation not found, incomplete strategy
% 13.94/2.95 % (1420036)------------------------------
% 13.94/2.95 % (1420036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.95 % (1420036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.95 % (1420036)CaDiCaL version: 2.1.3
% 13.94/2.95 % (1420036)Termination reason: Refutation not found, incomplete strategy
% 13.94/2.95 % (1420036)Time elapsed: 0.001 s
% 13.94/2.95 % (1420036)Peak memory usage: 88 MB
% 13.94/2.95 % (1420036)Instructions burned: 1 (million)
% 13.94/2.95 % (1420010)------------------------------
% 13.94/2.95 % (1420010)------------------------------
% 13.94/2.95 % (1420039)lrs+10_1_sil=8000:sp=occurrence:random_seed=1175251604:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 13.94/2.95 % (1420033)------------------------------
% 13.94/2.95 % (1420033)------------------------------
% 13.94/2.95 % (1420041)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1288647897:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 13.94/2.95 % (1420041)Refutation not found, incomplete strategy
% 13.94/2.95 % (1420041)------------------------------
% 13.94/2.95 % (1420041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.95 % (1420041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.95 % (1420041)CaDiCaL version: 2.1.3
% 13.94/2.95 % (1420041)Termination reason: Refutation not found, incomplete strategy
% 13.94/2.95 % (1420041)Time elapsed: 0.001 s
% 13.94/2.95 % (1420041)Peak memory usage: 88 MB
% 13.94/2.95 % (1420036)------------------------------
% 13.94/2.95 % (1420036)------------------------------
% 13.94/2.95 % (1420043)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3733005085:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.94/2.95 % (1420039)Instruction limit reached!
% 13.94/2.95 % (1420039)------------------------------
% 13.94/2.95 % (1420039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.95 % (1420039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.95 % (1420039)CaDiCaL version: 2.1.3
% 13.94/2.95 % (1420039)Termination reason: Instruction limit
% 13.94/2.95 % (1420039)Termination phase: Saturation
% 13.94/2.95 % (1420039)Time elapsed: 0.277 s
% 13.94/2.95 % (1420039)Peak memory usage: 101 MB
% 13.94/2.95 % (1420039)Instructions burned: 908 (million)
% 13.94/2.95 % (1420045)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=669751905:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 13.94/2.95 % (1420041)------------------------------
% 13.94/2.95 % (1420041)------------------------------
% 13.94/2.95 % (1420045)Refutation not found, incomplete strategy
% 13.94/2.95 % (1420045)------------------------------
% 13.94/2.95 % (1420045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/2.95 % (1420045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.95 % (1420045)CaDiCaL version: 2.1.3
% 13.94/2.95 % (1420045)Termination reason: Refutation not found, incomplete strategy
% 13.94/2.95 % (1420045)Time elapsed: 0.001 s
% 13.94/2.95 % (1420045)Peak memory usage: 89 MB
% 13.94/2.95 % (1420047)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=504189930:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 20.04/3.82 % (1420047)Refutation not found, incomplete strategy
% 20.04/3.82 % (1420047)------------------------------
% 20.04/3.82 % (1420047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.04/3.82 % (1420047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.04/3.82 % (1420047)CaDiCaL version: 2.1.3
% 20.04/3.82 % (1420047)Termination reason: Refutation not found, incomplete strategy
% 20.04/3.82 % (1420047)Time elapsed: 0.001 s
% 20.04/3.82 % (1420047)Peak memory usage: 88 MB
% 20.04/3.82 % (1420049)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4253717950:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 20.04/3.82 % (1420047)------------------------------
% 20.04/3.82 % (1420047)------------------------------
% 20.04/3.82 % (1420045)------------------------------
% 20.04/3.82 % (1420045)------------------------------
% 20.04/3.82 % (1420052)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=1413307539:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 20.04/3.82 % (1420052)Refutation not found, incomplete strategy
% 20.04/3.82 % (1420052)------------------------------
% 20.04/3.82 % (1420052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.04/3.82 % (1420052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.04/3.82 % (1420052)CaDiCaL version: 2.1.3
% 20.04/3.82 % (1420052)Termination reason: Refutation not found, incomplete strategy
% 20.04/3.82 % (1420052)Time elapsed: 0.0000 s
% 20.04/3.82 % (1420052)Peak memory usage: 87 MB
% 20.04/3.82 % (1420053)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1990920982:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 20.04/3.82 % (1420052)------------------------------
% 20.04/3.82 % (1420052)------------------------------
% 20.04/3.82 % (1420053)Instruction limit reached!
% 20.04/3.82 % (1420053)------------------------------
% 20.04/3.82 % (1420053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.04/3.82 % (1420053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.04/3.82 % (1420053)CaDiCaL version: 2.1.3
% 20.04/3.82 % (1420053)Termination reason: Instruction limit
% 20.04/3.82 % (1420053)Termination phase: Saturation
% 20.04/3.82 % (1420053)Time elapsed: 0.081 s
% 20.04/3.82 % (1420053)Peak memory usage: 90 MB
% 20.04/3.82 % (1420053)Instructions burned: 134 (million)
% 20.04/3.82 [W927 16:05:12.217800682 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.
% 20.04/3.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.04/3.82 [W927 16:05:12.217844508 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.
% 20.04/3.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.04/3.82 [W927 16:05:12.217882322 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.
% 20.04/3.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.04/3.82 [W927 16:05:12.217899702 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.
% 20.04/3.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.04/3.82 [W927 16:05:12.217925772 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.
% 20.04/3.82 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.04/3.82 [W927 16:05:12.217938125 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.
% 40.02/6.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.02/6.52 [W927 16:05:12.217965182 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.
% 40.02/6.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.02/6.52 [W927 16:05:12.217976402 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.
% 40.02/6.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.02/6.52 [W927 16:05:12.218082882 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.
% 40.02/6.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.02/6.52 [W927 16:05:12.218101382 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.
% 40.02/6.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.02/6.52 [W927 16:05:12.218126882 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.
% 40.02/6.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.02/6.52 [W927 16:05:12.218137102 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.
% 40.02/6.52 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 40.02/6.52 % (1420056)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=142165987:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 40.02/6.52 % (1420056)Refutation not found, incomplete strategy
% 40.02/6.52 % (1420056)------------------------------
% 40.02/6.52 % (1420056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.02/6.52 % (1420056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.02/6.52 % (1420056)CaDiCaL version: 2.1.3
% 40.02/6.52 % (1420056)Termination reason: Refutation not found, incomplete strategy
% 40.02/6.52 % (1420056)Time elapsed: 0.0000 s
% 40.02/6.52 % (1420056)Peak memory usage: 87 MB
% 40.02/6.52 % (1420057)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=195305774:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 40.02/6.52 % (1420057)Refutation not found, incomplete strategy
% 40.02/6.52 % (1420057)------------------------------
% 40.02/6.52 % (1420057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.02/6.52 % (1420057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.02/6.52 % (1420057)CaDiCaL version: 2.1.3
% 40.02/6.52 % (1420057)Termination reason: Refutation not found, incomplete strategy
% 40.02/6.52 % (1420057)Time elapsed: 0.001 s
% 40.02/6.52 % (1420057)Peak memory usage: 87 MB
% 40.02/6.52 % (1420049)Refutation not found, incomplete strategy
% 40.02/6.52 % (1420049)------------------------------
% 40.02/6.52 % (1420049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.02/6.52 % (1420049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.02/6.52 % (1420049)CaDiCaL version: 2.1.3
% 40.02/6.52 % (1420049)Termination reason: Refutation not found, incomplete strategy
% 40.02/6.52 % (1420049)Time elapsed: 0.554 s
% 40.02/6.52 % (1420049)Peak memory usage: 125 MB
% 40.02/6.52 % (1420049)Instructions burned: 823 (million)
% 40.02/6.52 % (1420056)------------------------------
% 40.02/6.52 % (1420056)------------------------------
% 40.02/6.52 % (1420060)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=2115975266:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 40.02/6.56 % (1420057)------------------------------
% 40.02/6.56 % (1420057)------------------------------
% 40.02/6.56 % (1420049)------------------------------
% 40.02/6.56 % (1420049)------------------------------
% 40.02/6.56 % (1420032)Instruction limit reached!
% 40.02/6.56 % (1420032)------------------------------
% 40.02/6.56 % (1420032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.02/6.56 % (1420032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.02/6.56 % (1420032)CaDiCaL version: 2.1.3
% 40.02/6.56 % (1420032)Termination reason: Instruction limit
% 40.02/6.56 % (1420032)Termination phase: Saturation
% 40.02/6.56 % (1420032)Time elapsed: 1.517 s
% 40.02/6.56 % (1420032)Peak memory usage: 142 MB
% 40.02/6.56 % (1420032)Instructions burned: 2351 (million)
% 40.02/6.56 % (1420062)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=790331360:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 40.02/6.56 % (1420063)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3527885325:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 40.02/6.56 % (1420064)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1900986963:i=667:av=off:fsr=off_2977 on theBenchmark for (2977ds/667Mi)
% 40.02/6.56 % (1420064)Refutation not found, incomplete strategy
% 40.02/6.56 % (1420064)------------------------------
% 40.02/6.56 % (1420064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.02/6.56 % (1420064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.02/6.56 % (1420064)CaDiCaL version: 2.1.3
% 40.02/6.56 % (1420064)Termination reason: Refutation not found, incomplete strategy
% 40.02/6.56 % (1420064)Time elapsed: 0.001 s
% 40.02/6.56 % (1420064)Peak memory usage: 88 MB
% 40.02/6.56 % (1420064)Instructions burned: 1 (million)
% 40.02/6.56 % (1420062)Instruction limit reached!
% 40.02/6.56 % (1420062)------------------------------
% 40.02/6.56 % (1420062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.02/6.56 % (1420062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.02/6.56 % (1420062)CaDiCaL version: 2.1.3
% 40.02/6.56 % (1420062)Termination reason: Instruction limit
% 40.02/6.56 % (1420062)Termination phase: Saturation
% 40.02/6.56 % (1420062)Time elapsed: 0.093 s
% 40.02/6.56 % (1420062)Peak memory usage: 91 MB
% 40.02/6.56 % (1420062)Instructions burned: 150 (million)
% 40.02/6.56 % (1420068)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=3899719866:s2a=on:i=185:s2at=1.8:fdi=4_2975 on theBenchmark for (2975ds/185Mi)
% 40.02/6.56 % (1420064)------------------------------
% 40.02/6.56 % (1420064)------------------------------
% 40.02/6.56 % (1420068)Instruction limit reached!
% 40.02/6.56 % (1420068)------------------------------
% 40.02/6.56 % (1420068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.02/6.56 % (1420068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.02/6.56 % (1420068)CaDiCaL version: 2.1.3
% 40.02/6.56 % (1420068)Termination reason: Instruction limit
% 40.02/6.56 % (1420068)Termination phase: Saturation
% 40.02/6.56 % (1420068)Time elapsed: 0.110 s
% 40.02/6.56 % (1420068)Peak memory usage: 90 MB
% 40.02/6.56 % (1420068)Instructions burned: 186 (million)
% 40.02/6.56 % (1420071)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1154177688:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2973 on theBenchmark for (2973ds/4850Mi)
% 40.02/6.56 % (1420070)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=339753621:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2973 on theBenchmark for (2973ds/193Mi)
% 40.02/6.56 % (1420070)Refutation not found, incomplete strategy
% 40.02/6.56 % (1420070)------------------------------
% 40.02/6.56 % (1420070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.02/6.56 % (1420070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.02/6.56 % (1420070)CaDiCaL version: 2.1.3
% 40.02/6.56 % (1420070)Termination reason: Refutation not found, incomplete strategy
% 40.02/6.56 % (1420070)Time elapsed: 0.001 s
% 40.02/6.56 % (1420070)Peak memory usage: 87 MB
% 40.02/6.56 % (1420070)------------------------------
% 46.51/7.44 % (1420070)------------------------------
% 46.51/7.44 % (1420074)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2164771908:i=12111:sd=1:ss=included_2970 on theBenchmark for (2970ds/12111Mi)
% 46.51/7.44 % (1420060)Instruction limit reached!
% 46.51/7.44 % (1420060)------------------------------
% 46.51/7.44 % (1420060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.44 % (1420060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.44 % (1420060)CaDiCaL version: 2.1.3
% 46.51/7.44 % (1420060)Termination reason: Instruction limit
% 46.51/7.44 % (1420060)Termination phase: Saturation
% 46.51/7.44 % (1420060)Time elapsed: 2.146 s
% 46.51/7.44 % (1420060)Peak memory usage: 178 MB
% 46.51/7.44 % (1420060)Instructions burned: 6062 (million)
% 46.51/7.44 % (1420076)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2802050189:i=319:kws=precedence:fsr=off_2957 on theBenchmark for (2957ds/319Mi)
% 46.51/7.44 % (1420043)Instruction limit reached!
% 46.51/7.44 % (1420043)------------------------------
% 46.51/7.44 % (1420043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.44 % (1420043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.44 % (1420043)CaDiCaL version: 2.1.3
% 46.51/7.44 % (1420043)Termination reason: Instruction limit
% 46.51/7.44 % (1420043)Termination phase: Saturation
% 46.51/7.44 % (1420043)Time elapsed: 3.219 s
% 46.51/7.44 % (1420043)Peak memory usage: 162 MB
% 46.51/7.44 % (1420043)Instructions burned: 5203 (million)
% 46.51/7.44 % (1420076)Instruction limit reached!
% 46.51/7.44 % (1420076)------------------------------
% 46.51/7.44 % (1420076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.44 % (1420076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.44 % (1420076)CaDiCaL version: 2.1.3
% 46.51/7.44 % (1420076)Termination reason: Instruction limit
% 46.51/7.44 % (1420076)Termination phase: Saturation
% 46.51/7.44 % (1420076)Time elapsed: 0.113 s
% 46.51/7.44 % (1420076)Peak memory usage: 94 MB
% 46.51/7.44 % (1420076)Instructions burned: 320 (million)
% 46.51/7.44 % (1420078)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=886058113:i=2064:ep=RST_2955 on theBenchmark for (2955ds/2064Mi)
% 46.51/7.44 % (1420078)Refutation not found, incomplete strategy
% 46.51/7.44 % (1420078)------------------------------
% 46.51/7.44 % (1420078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.44 % (1420078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.44 % (1420078)CaDiCaL version: 2.1.3
% 46.51/7.44 % (1420078)Termination reason: Refutation not found, incomplete strategy
% 46.51/7.44 % (1420078)Time elapsed: 0.001 s
% 46.51/7.44 % (1420078)Peak memory usage: 88 MB
% 46.51/7.44 % (1420078)Instructions burned: 1 (million)
% 46.51/7.44 % (1420079)dis-1011_128_sil=32000:random_seed=2567946578:i=3706:ep=RST:av=off_2955 on theBenchmark for (2955ds/3706Mi)
% 46.51/7.44 % (1420078)------------------------------
% 46.51/7.44 % (1420078)------------------------------
% 46.51/7.44 % (1420082)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=645633622:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2952 on theBenchmark for (2952ds/757Mi)
% 46.51/7.44 % (1420082)Refutation not found, incomplete strategy
% 46.51/7.44 % (1420082)------------------------------
% 46.51/7.44 % (1420082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.44 % (1420082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.44 % (1420082)CaDiCaL version: 2.1.3
% 46.51/7.44 % (1420082)Termination reason: Refutation not found, incomplete strategy
% 46.51/7.44 % (1420082)Time elapsed: 0.001 s
% 46.51/7.44 % (1420082)Peak memory usage: 87 MB
% 46.51/7.44 % (1420082)------------------------------
% 46.51/7.44 % (1420082)------------------------------
% 46.51/7.44 % (1420084)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3731984079:i=13913:ss=axioms:sgt=8_2948 on theBenchmark for (2948ds/13913Mi)
% 46.51/7.44 [W927 16:05:16.067969289 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.
% 46.51/7.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.51/7.44 [W927 16:05:16.068022099 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068061605 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068073442 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068098822 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068159512 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068195846 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068206692 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068230389 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068241019 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068266526 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 [W927 16:05:16.068277246 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.
% 51.37/8.12 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.37/8.12 % (1420079)Instruction limit reached!
% 51.37/8.12 % (1420079)------------------------------
% 51.37/8.12 % (1420079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.37/8.12 % (1420079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.37/8.12 % (1420079)CaDiCaL version: 2.1.3
% 51.37/8.12 % (1420079)Termination reason: Instruction limit
% 51.37/8.12 % (1420079)Termination phase: Saturation
% 51.37/8.12 % (1420079)Time elapsed: 1.166 s
% 51.37/8.12 % (1420079)Peak memory usage: 121 MB
% 51.37/8.12 % (1420079)Instructions burned: 3706 (million)
% 51.37/8.12 % (1420071)Instruction limit reached!
% 51.37/8.12 % (1420071)------------------------------
% 51.37/8.12 % (1420071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.92/11.49 % (1420071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.92/11.49 % (1420071)CaDiCaL version: 2.1.3
% 74.92/11.49 % (1420071)Termination reason: Instruction limit
% 74.92/11.49 % (1420071)Termination phase: Saturation
% 74.92/11.49 % (1420071)Time elapsed: 2.968 s
% 74.92/11.49 % (1420071)Peak memory usage: 142 MB
% 74.92/11.49 % (1420071)Instructions burned: 4851 (million)
% 74.92/11.49 % (1420087)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2950584620:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2942 on theBenchmark for (2942ds/2479Mi)
% 74.92/11.49 % (1420087)Refutation not found, incomplete strategy
% 74.92/11.49 % (1420087)------------------------------
% 74.92/11.49 % (1420087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.92/11.49 % (1420087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.92/11.49 % (1420087)CaDiCaL version: 2.1.3
% 74.92/11.49 % (1420087)Termination reason: Refutation not found, incomplete strategy
% 74.92/11.49 % (1420087)Time elapsed: 0.0000 s
% 74.92/11.49 % (1420087)Peak memory usage: 87 MB
% 74.92/11.49 % (1420086)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=125845882:i=9925:aac=none_2942 on theBenchmark for (2942ds/9925Mi)
% 74.92/11.49 % (1420084)Refutation not found, incomplete strategy
% 74.92/11.49 % (1420084)------------------------------
% 74.92/11.49 % (1420084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.92/11.49 % (1420084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.92/11.49 % (1420084)CaDiCaL version: 2.1.3
% 74.92/11.49 % (1420084)Termination reason: Refutation not found, incomplete strategy
% 74.92/11.49 % (1420084)Time elapsed: 0.550 s
% 74.92/11.49 % (1420084)Peak memory usage: 126 MB
% 74.92/11.49 % (1420084)Instructions burned: 826 (million)
% 74.92/11.49 % (1420087)------------------------------
% 74.92/11.49 % (1420087)------------------------------
% 74.92/11.49 % (1420090)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=901827825:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2940 on theBenchmark for (2940ds/440Mi)
% 74.92/11.49 % (1420084)------------------------------
% 74.92/11.49 % (1420084)------------------------------
% 74.92/11.49 % (1420090)Instruction limit reached!
% 74.92/11.49 % (1420090)------------------------------
% 74.92/11.49 % (1420090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.92/11.49 % (1420090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.92/11.49 % (1420090)CaDiCaL version: 2.1.3
% 74.92/11.49 % (1420090)Termination reason: Instruction limit
% 74.92/11.49 % (1420090)Termination phase: Saturation
% 74.92/11.49 % (1420090)Time elapsed: 0.117 s
% 74.92/11.49 % (1420090)Peak memory usage: 93 MB
% 74.92/11.49 % (1420090)Instructions burned: 441 (million)
% 74.92/11.49 % (1420092)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2711102821:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2938 on theBenchmark for (2938ds/11145Mi)
% 74.92/11.49 % (1420093)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=2615696674:cts=off:i=3034:av=off:er=known:fsd=on_2937 on theBenchmark for (2937ds/3034Mi)
% 74.92/11.49 [W927 16:05:17.989410984 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.
% 74.92/11.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 74.92/11.49 [W927 16:05:17.989447264 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.
% 74.92/11.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 74.92/11.49 [W927 16:05:17.989486108 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.
% 74.92/11.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 74.92/11.49 [W927 16:05:17.989499178 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.
% 78.36/11.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 78.36/11.94 [W927 16:05:17.989526365 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.
% 78.36/11.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 78.36/11.94 [W927 16:05:17.989547238 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.
% 78.36/11.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 78.36/11.94 [W927 16:05:17.989573665 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.
% 78.36/11.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 78.36/11.94 [W927 16:05:17.989584588 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.
% 78.36/11.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 78.36/11.94 [W927 16:05:17.989608688 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.
% 78.36/11.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 78.36/11.94 [W927 16:05:17.989619895 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.
% 78.36/11.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 78.36/11.94 [W927 16:05:17.989644735 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.
% 78.36/11.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 78.36/11.94 [W927 16:05:17.989655801 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.
% 78.36/11.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 78.36/11.94 % (1420092)Refutation not found, incomplete strategy
% 78.36/11.94 % (1420092)------------------------------
% 78.36/11.94 % (1420092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.36/11.94 % (1420092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.36/11.94 % (1420092)CaDiCaL version: 2.1.3
% 78.36/11.94 % (1420092)Termination reason: Refutation not found, incomplete strategy
% 78.36/11.94 % (1420092)Time elapsed: 0.545 s
% 78.36/11.94 % (1420092)Peak memory usage: 125 MB
% 78.36/11.94 % (1420092)Instructions burned: 826 (million)
% 78.36/11.94 % (1420092)------------------------------
% 78.36/11.94 % (1420092)------------------------------
% 78.36/11.94 % (1420096)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2513742273:st=2:s2a=on:i=524:s2at=2:ss=axioms_2929 on theBenchmark for (2929ds/524Mi)
% 78.36/11.94 % (1420096)Refutation not found, incomplete strategy
% 78.36/11.94 % (1420096)------------------------------
% 78.36/11.94 % (1420096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.36/11.94 % (1420096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.36/11.94 % (1420096)CaDiCaL version: 2.1.3
% 78.36/11.94 % (1420096)Termination reason: Refutation not found, incomplete strategy
% 78.36/11.94 % (1420096)Time elapsed: 0.001 s
% 78.36/11.94 % (1420096)Peak memory usage: 87 MB
% 78.36/11.94 % (1420093)Instruction limit reached!
% 78.36/11.94 % (1420093)------------------------------
% 78.36/11.94 % (1420093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.36/11.94 % (1420093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.98/12.21 % (1420093)CaDiCaL version: 2.1.3
% 80.98/12.21 % (1420093)Termination reason: Instruction limit
% 80.98/12.21 % (1420093)Termination phase: Saturation
% 80.98/12.21 % (1420093)Time elapsed: 0.988 s
% 80.98/12.21 % (1420093)Peak memory usage: 140 MB
% 80.98/12.21 % (1420093)Instructions burned: 3036 (million)
% 80.98/12.21 % (1420096)------------------------------
% 80.98/12.21 % (1420096)------------------------------
% 80.98/12.21 % (1420098)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3138325792:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2927 on theBenchmark for (2927ds/1016Mi)
% 80.98/12.21 % (1420098)Refutation not found, incomplete strategy
% 80.98/12.21 % (1420098)------------------------------
% 80.98/12.21 % (1420098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.98/12.21 % (1420098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.98/12.21 % (1420098)CaDiCaL version: 2.1.3
% 80.98/12.21 % (1420098)Termination reason: Refutation not found, incomplete strategy
% 80.98/12.21 % (1420098)Time elapsed: 0.0000 s
% 80.98/12.21 % (1420098)Peak memory usage: 87 MB
% 80.98/12.21 % (1420100)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2712547960:i=14123:bd=preordered:ins=4_2926 on theBenchmark for (2926ds/14123Mi)
% 80.98/12.21 % (1420098)------------------------------
% 80.98/12.21 % (1420098)------------------------------
% 80.98/12.21 % (1420102)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=292134185:i=5781:kws=precedence:bd=all:rawr=on_2924 on theBenchmark for (2924ds/5781Mi)
% 80.98/12.21 % (1420102)Instruction limit reached!
% 80.98/12.21 % (1420102)------------------------------
% 80.98/12.21 % (1420102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.98/12.21 % (1420102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.98/12.21 % (1420102)CaDiCaL version: 2.1.3
% 80.98/12.21 % (1420102)Termination reason: Instruction limit
% 80.98/12.21 % (1420102)Termination phase: Saturation
% 80.98/12.21 % (1420102)Time elapsed: 1.762 s
% 80.98/12.21 % (1420102)Peak memory usage: 139 MB
% 80.98/12.21 % (1420102)Instructions burned: 5782 (million)
% 80.98/12.21 % (1420074)Instruction limit reached!
% 80.98/12.21 % (1420074)------------------------------
% 80.98/12.21 % (1420074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.98/12.21 % (1420074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.98/12.21 % (1420074)CaDiCaL version: 2.1.3
% 80.98/12.21 % (1420074)Termination reason: Instruction limit
% 80.98/12.21 % (1420074)Termination phase: Saturation
% 80.98/12.21 % (1420074)Time elapsed: 6.285 s
% 80.98/12.21 % (1420074)Peak memory usage: 262 MB
% 80.98/12.21 % (1420074)Instructions burned: 12111 (million)
% 80.98/12.21 % (1420104)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=3489494991:i=2448:gtgl=5:bd=preordered:gtg=all_2906 on theBenchmark for (2906ds/2448Mi)
% 80.98/12.21 % (1420105)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3087688018:i=3223:kws=precedence:fgj=on:av=off_2905 on theBenchmark for (2905ds/3223Mi)
% 80.98/12.21 % (1420104)Instruction limit reached!
% 80.98/12.21 % (1420104)------------------------------
% 80.98/12.21 % (1420104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.98/12.21 % (1420104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.98/12.21 % (1420104)CaDiCaL version: 2.1.3
% 80.98/12.21 % (1420104)Termination reason: Instruction limit
% 80.98/12.21 % (1420104)Termination phase: Saturation
% 80.98/12.21 % (1420104)Time elapsed: 0.771 s
% 80.98/12.21 % (1420104)Peak memory usage: 145 MB
% 80.98/12.21 % (1420104)Instructions burned: 2452 (million)
% 80.98/12.21 % (1420108)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=1598894066:st=5.6:i=2033:sd=3:ss=axioms_2897 on theBenchmark for (2897ds/2033Mi)
% 80.98/12.21 % (1420108)Refutation not found, incomplete strategy
% 80.98/12.21 % (1420108)------------------------------
% 80.98/12.21 % (1420108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.98/12.21 % (1420108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.98/12.21 % (1420108)CaDiCaL version: 2.1.3
% 80.98/12.21 % (1420108)Termination reason: Refutation not found, incomplete strategy
% 84.80/13.01 % (1420108)Time elapsed: 0.340 s
% 84.80/13.01 % (1420108)Peak memory usage: 126 MB
% 84.80/13.01 % (1420108)Instructions burned: 829 (million)
% 84.80/13.01 % (1420108)------------------------------
% 84.80/13.01 % (1420108)------------------------------
% 84.80/13.01 % (1420063)Instruction limit reached!
% 84.80/13.01 % (1420063)------------------------------
% 84.80/13.01 % (1420063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.80/13.01 % (1420063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.80/13.01 % (1420063)CaDiCaL version: 2.1.3
% 84.80/13.01 % (1420063)Termination reason: Instruction limit
% 84.80/13.01 % (1420063)Termination phase: Saturation
% 84.80/13.01 % (1420063)Time elapsed: 8.453 s
% 84.80/13.01 % (1420063)Peak memory usage: 238 MB
% 84.80/13.01 % (1420063)Instructions burned: 14155 (million)
% 84.80/13.01 % (1420110)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1035974243:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2891 on theBenchmark for (2891ds/2055Mi)
% 84.80/13.01 % (1420111)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=403332971:i=21611:sd=3:ss=axioms_2891 on theBenchmark for (2891ds/21611Mi)
% 84.80/13.01 [W927 16:05:21.489022747 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.
% 84.80/13.01 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 84.80/13.01 [W927 16:05:21.489042404 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.
% 84.80/13.01 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 84.80/13.01 [W927 16:05:21.489063384 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.
% 84.80/13.01 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 84.80/13.01 [W927 16:05:21.489070771 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.
% 84.80/13.01 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 84.80/13.01 [W927 16:05:21.489085107 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.
% 84.80/13.01 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 84.80/13.01 [W927 16:05:21.489091672 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.
% 84.80/13.01 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 84.80/13.01 [W927 16:05:21.489105426 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.
% 84.80/13.01 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 84.80/13.01 [W927 16:05:21.489112022 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.
% 84.80/13.01 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 84.80/13.01 [W927 16:05:21.489125129 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.
% 84.80/13.01 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 84.80/13.01 [W927 16:05:21.489131573 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:21.489144423 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:21.489151280 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 % (1420110)Refutation not found, incomplete strategy
% 97.39/14.74 % (1420110)------------------------------
% 97.39/14.74 % (1420110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.39/14.74 % (1420110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.39/14.74 % (1420110)CaDiCaL version: 2.1.3
% 97.39/14.74 % (1420110)Termination reason: Refutation not found, incomplete strategy
% 97.39/14.74 % (1420110)Time elapsed: 0.295 s
% 97.39/14.74 % (1420110)Peak memory usage: 126 MB
% 97.39/14.74 % (1420110)Instructions burned: 822 (million)
% 97.39/14.74 % (1420110)------------------------------
% 97.39/14.74 % (1420110)------------------------------
% 97.39/14.74 [W927 16:05:22.757712939 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:22.757757412 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:22.757797019 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:22.757810286 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:22.757835799 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:22.757847999 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:22.757875776 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:22.757887673 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.
% 97.39/14.74 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 97.39/14.74 [W927 16:05:22.757912899 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.
% 104.56/15.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 104.56/15.62 [W927 16:05:22.757924766 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.
% 104.56/15.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 104.56/15.62 [W927 16:05:22.757954863 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.
% 104.56/15.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 104.56/15.62 [W927 16:05:22.757971726 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.
% 104.56/15.62 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 104.56/15.62 % (1420114)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2927939726:i=4835:sd=13:ss=axioms:sgt=23_2886 on theBenchmark for (2886ds/4835Mi)
% 104.56/15.62 % (1420105)Instruction limit reached!
% 104.56/15.62 % (1420105)------------------------------
% 104.56/15.62 % (1420105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.56/15.62 % (1420105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.56/15.62 % (1420105)CaDiCaL version: 2.1.3
% 104.56/15.62 % (1420105)Termination reason: Instruction limit
% 104.56/15.62 % (1420105)Termination phase: Saturation
% 104.56/15.62 % (1420105)Time elapsed: 1.982 s
% 104.56/15.62 % (1420105)Peak memory usage: 148 MB
% 104.56/15.62 % (1420105)Instructions burned: 3224 (million)
% 104.56/15.62 % (1420111)Refutation not found, incomplete strategy
% 104.56/15.62 % (1420111)------------------------------
% 104.56/15.62 % (1420111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.56/15.62 % (1420111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.56/15.62 % (1420111)CaDiCaL version: 2.1.3
% 104.56/15.62 % (1420111)Termination reason: Refutation not found, incomplete strategy
% 104.56/15.62 % (1420111)Time elapsed: 0.550 s
% 104.56/15.62 % (1420111)Peak memory usage: 125 MB
% 104.56/15.62 % (1420111)Instructions burned: 826 (million)
% 104.56/15.62 % (1420116)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=1559605129:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2884 on theBenchmark for (2884ds/797Mi)
% 104.56/15.62 % (1420116)Refutation not found, incomplete strategy
% 104.56/15.62 % (1420116)------------------------------
% 104.56/15.62 % (1420116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.56/15.62 % (1420116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.56/15.62 % (1420116)CaDiCaL version: 2.1.3
% 104.56/15.62 % (1420116)Termination reason: Refutation not found, incomplete strategy
% 104.56/15.62 % (1420116)Time elapsed: 0.001 s
% 104.56/15.62 % (1420116)Peak memory usage: 88 MB
% 104.56/15.62 % (1420116)Instructions burned: 1 (million)
% 104.56/15.62 % (1420111)------------------------------
% 104.56/15.62 % (1420111)------------------------------
% 104.56/15.62 % (1420116)------------------------------
% 104.56/15.62 % (1420116)------------------------------
% 104.56/15.62 % (1420118)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=4037111152:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2882 on theBenchmark for (2882ds/2326Mi)
% 104.56/15.62 % (1420118)Refutation not found, incomplete strategy
% 104.56/15.62 % (1420118)------------------------------
% 104.56/15.62 % (1420118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.56/15.62 % (1420118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.56/15.62 % (1420118)CaDiCaL version: 2.1.3
% 104.56/15.62 % (1420118)Termination reason: Refutation not found, incomplete strategy
% 104.56/15.62 % (1420118)Time elapsed: 0.002 s
% 104.56/15.62 % (1420118)Peak memory usage: 88 MB
% 104.56/15.62 % (1420118)Instructions burned: 1 (million)
% 104.56/15.62 % (1420119)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=1738062928:i=6038:nm=6_2880 on theBenchmark for (2880ds/6038Mi)
% 104.56/15.62 % (1420118)------------------------------
% 117.10/17.37 % (1420118)------------------------------
% 117.10/17.37 % (1420122)lrs+10_1_sil=32000:sp=occurrence:random_seed=4293197241:st=2:i=33334:sd=3:ss=included:sgt=32_2878 on theBenchmark for (2878ds/33334Mi)
% 117.10/17.37 % (1420119)Refutation not found, incomplete strategy
% 117.10/17.37 % (1420119)------------------------------
% 117.10/17.37 % (1420119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.10/17.37 % (1420119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.10/17.37 % (1420119)CaDiCaL version: 2.1.3
% 117.10/17.37 % (1420119)Termination reason: Refutation not found, incomplete strategy
% 117.10/17.37 % (1420119)Time elapsed: 0.610 s
% 117.10/17.37 % (1420119)Peak memory usage: 128 MB
% 117.10/17.37 % (1420119)Instructions burned: 891 (million)
% 117.10/17.37 % (1420119)------------------------------
% 117.10/17.37 % (1420119)------------------------------
% 117.10/17.37 % (1420124)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1034973902:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2870 on theBenchmark for (2870ds/1008Mi)
% 117.10/17.37 % (1420124)Refutation not found, incomplete strategy
% 117.10/17.37 % (1420124)------------------------------
% 117.10/17.37 % (1420124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.10/17.37 % (1420124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.10/17.37 % (1420124)CaDiCaL version: 2.1.3
% 117.10/17.37 % (1420124)Termination reason: Refutation not found, incomplete strategy
% 117.10/17.37 % (1420124)Time elapsed: 0.001 s
% 117.10/17.37 % (1420124)Peak memory usage: 87 MB
% 117.10/17.37 % (1420114)Instruction limit reached!
% 117.10/17.37 % (1420114)------------------------------
% 117.10/17.37 % (1420114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.10/17.37 % (1420114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.10/17.37 % (1420114)CaDiCaL version: 2.1.3
% 117.10/17.37 % (1420114)Termination reason: Instruction limit
% 117.10/17.37 % (1420114)Termination phase: Saturation
% 117.10/17.37 % (1420114)Time elapsed: 1.806 s
% 117.10/17.37 % (1420114)Peak memory usage: 140 MB
% 117.10/17.37 % (1420114)Instructions burned: 4835 (million)
% 117.10/17.37 % (1420124)------------------------------
% 117.10/17.37 % (1420124)------------------------------
% 117.10/17.37 % (1420126)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=1823075387:i=8327:s2at=5:bd=preordered_2867 on theBenchmark for (2867ds/8327Mi)
% 117.10/17.37 % (1420086)Instruction limit reached!
% 117.10/17.37 % (1420086)------------------------------
% 117.10/17.37 % (1420086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.10/17.37 % (1420086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.10/17.37 % (1420086)CaDiCaL version: 2.1.3
% 117.10/17.37 % (1420086)Termination reason: Instruction limit
% 117.10/17.37 % (1420086)Termination phase: Saturation
% 117.10/17.37 % (1420086)Time elapsed: 7.490 s
% 117.10/17.37 % (1420086)Peak memory usage: 190 MB
% 117.10/17.37 % (1420086)Instructions burned: 9925 (million)
% 117.10/17.37 % (1420127)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=395977607:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2867 on theBenchmark for (2867ds/1083Mi)
% 117.10/17.37 % (1420129)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=823768772:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2866 on theBenchmark for (2866ds/1084Mi)
% 117.10/17.37 % (1420129)Refutation not found, incomplete strategy
% 117.10/17.37 % (1420129)------------------------------
% 117.10/17.37 % (1420129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.10/17.37 % (1420129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.10/17.37 % (1420129)CaDiCaL version: 2.1.3
% 117.10/17.37 % (1420129)Termination reason: Refutation not found, incomplete strategy
% 117.10/17.37 % (1420129)Time elapsed: 0.001 s
% 117.10/17.37 % (1420129)Peak memory usage: 86 MB
% 117.10/17.37 % (1420129)------------------------------
% 117.10/17.37 % (1420129)------------------------------
% 117.10/17.37 % (1420132)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=369265793:i=6995:s2at=5:gtg=all_2862 on theBenchmark for (2862ds/6995Mi)
% 117.10/17.37 % (1420127)Instruction limit reached!
% 120.72/17.92 % (1420127)------------------------------
% 120.72/17.92 % (1420127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.72/17.92 % (1420127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.72/17.92 % (1420127)CaDiCaL version: 2.1.3
% 120.72/17.92 % (1420127)Termination reason: Instruction limit
% 120.72/17.92 % (1420127)Termination phase: Saturation
% 120.72/17.92 % (1420127)Time elapsed: 0.486 s
% 120.72/17.92 % (1420127)Peak memory usage: 96 MB
% 120.72/17.92 % (1420127)Instructions burned: 1085 (million)
% 120.72/17.92 % (1420134)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=2675355105:st=2:i=6225:sd=15:ss=axioms_2860 on theBenchmark for (2860ds/6225Mi)
% 120.72/17.92 % (1420134)Refutation not found, incomplete strategy
% 120.72/17.92 % (1420134)------------------------------
% 120.72/17.92 % (1420134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.72/17.92 % (1420134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.72/17.92 % (1420134)CaDiCaL version: 2.1.3
% 120.72/17.92 % (1420134)Termination reason: Refutation not found, incomplete strategy
% 120.72/17.92 % (1420134)Time elapsed: 0.001 s
% 120.72/17.92 % (1420134)Peak memory usage: 87 MB
% 120.72/17.92 % (1420134)------------------------------
% 120.72/17.92 % (1420134)------------------------------
% 120.72/17.92 % (1420136)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=2348315781:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2857 on theBenchmark for (2857ds/3372Mi)
% 120.72/17.92 [W927 16:05:25.170448928 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.
% 120.72/17.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 120.72/17.92 [W927 16:05:25.170490182 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.
% 120.72/17.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 120.72/17.92 [W927 16:05:25.170532398 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.
% 120.72/17.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 120.72/17.92 [W927 16:05:25.170543828 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.
% 120.72/17.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 120.72/17.92 [W927 16:05:25.170569232 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.
% 120.72/17.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 120.72/17.92 [W927 16:05:25.170580615 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.
% 120.72/17.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 120.72/17.92 [W927 16:05:25.170605535 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.
% 120.72/17.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 120.72/17.92 [W927 16:05:25.170617909 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.
% 120.72/17.92 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 120.72/17.92 [W927 16:05:25.170644229 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.
% 139.08/20.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 139.08/20.47 [W927 16:05:25.170655799 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.
% 139.08/20.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 139.08/20.47 [W927 16:05:25.170687402 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.
% 139.08/20.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 139.08/20.47 [W927 16:05:25.170697359 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.
% 139.08/20.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 139.08/20.47 % (1420136)Refutation not found, incomplete strategy
% 139.08/20.47 % (1420136)------------------------------
% 139.08/20.47 % (1420136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.08/20.47 % (1420136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.08/20.47 % (1420136)CaDiCaL version: 2.1.3
% 139.08/20.47 % (1420136)Termination reason: Refutation not found, incomplete strategy
% 139.08/20.47 % (1420136)Time elapsed: 0.541 s
% 139.08/20.47 % (1420136)Peak memory usage: 126 MB
% 139.08/20.47 % (1420136)Instructions burned: 823 (million)
% 139.08/20.47 % (1420136)------------------------------
% 139.08/20.47 % (1420136)------------------------------
% 139.08/20.47 % (1420138)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=1452830173:st=2.3:i=26457:sd=10:ss=included:sgt=8_2847 on theBenchmark for (2847ds/26457Mi)
% 139.08/20.47 % (1420138)Refutation not found, incomplete strategy
% 139.08/20.47 % (1420138)------------------------------
% 139.08/20.47 % (1420138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.08/20.47 % (1420138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.08/20.47 % (1420138)CaDiCaL version: 2.1.3
% 139.08/20.47 % (1420138)Termination reason: Refutation not found, incomplete strategy
% 139.08/20.47 % (1420138)Time elapsed: 0.552 s
% 139.08/20.47 % (1420138)Peak memory usage: 126 MB
% 139.08/20.47 % (1420138)Instructions burned: 829 (million)
% 139.08/20.47 % (1420126)Instruction limit reached!
% 139.08/20.47 % (1420126)------------------------------
% 139.08/20.47 % (1420126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.08/20.47 % (1420126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.08/20.47 % (1420126)CaDiCaL version: 2.1.3
% 139.08/20.47 % (1420126)Termination reason: Instruction limit
% 139.08/20.47 % (1420126)Termination phase: Saturation
% 139.08/20.47 % (1420126)Time elapsed: 2.728 s
% 139.08/20.47 % (1420126)Peak memory usage: 170 MB
% 139.08/20.47 % (1420126)Instructions burned: 8328 (million)
% 139.08/20.47 % (1420138)------------------------------
% 139.08/20.47 % (1420138)------------------------------
% 139.08/20.47 % (1420141)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=3760695709:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2839 on theBenchmark for (2839ds/13494Mi)
% 139.08/20.47 % (1420142)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=2254293056:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2838 on theBenchmark for (2838ds/2503Mi)
% 139.08/20.47 % (1420100)Instruction limit reached!
% 139.08/20.47 % (1420100)------------------------------
% 139.08/20.47 % (1420100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.08/20.47 % (1420100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.08/20.47 % (1420100)CaDiCaL version: 2.1.3
% 139.08/20.47 % (1420100)Termination reason: Instruction limit
% 139.08/20.47 % (1420100)Termination phase: Saturation
% 139.08/20.47 % (1420100)Time elapsed: 8.885 s
% 139.08/20.47 % (1420100)Peak memory usage: 193 MB
% 139.08/20.47 % (1420100)Instructions burned: 14124 (million)
% 139.08/20.47 % (1420145)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=458951859:i=2559:sd=1:ep=RSTC:ss=axioms_2835 on theBenchmark for (2835ds/2559Mi)
% 145.46/21.39 [W927 16:05:27.300315000 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300346484 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300383747 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300397104 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300425194 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300437684 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300463537 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300475724 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300500884 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300512981 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300538171 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 [W927 16:05:27.300550231 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.
% 145.46/21.39 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 145.46/21.39 % (1420145)Refutation not found, incomplete strategy
% 145.46/21.39 % (1420145)------------------------------
% 145.46/21.39 % (1420145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 145.46/21.39 % (1420145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.76/21.56 % (1420145)CaDiCaL version: 2.1.3
% 146.76/21.56 % (1420145)Termination reason: Refutation not found, incomplete strategy
% 146.76/21.56 % (1420145)Time elapsed: 0.542 s
% 146.76/21.56 % (1420145)Peak memory usage: 125 MB
% 146.76/21.56 % (1420145)Instructions burned: 823 (million)
% 146.76/21.56 % (1420145)------------------------------
% 146.76/21.56 % (1420145)------------------------------
% 146.76/21.56 % (1420147)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=792928337:i=30753:av=off:ss=included_2826 on theBenchmark for (2826ds/30753Mi)
% 146.76/21.56 % (1420142)Instruction limit reached!
% 146.76/21.56 % (1420142)------------------------------
% 146.76/21.56 % (1420142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.76/21.56 % (1420142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.76/21.56 % (1420142)CaDiCaL version: 2.1.3
% 146.76/21.56 % (1420142)Termination reason: Instruction limit
% 146.76/21.56 % (1420142)Termination phase: Saturation
% 146.76/21.56 % (1420142)Time elapsed: 1.478 s
% 146.76/21.56 % (1420142)Peak memory usage: 145 MB
% 146.76/21.56 % (1420142)Instructions burned: 2504 (million)
% 146.76/21.56 % (1420149)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=286131395:i=26473:ep=RSTC_2822 on theBenchmark for (2822ds/26473Mi)
% 146.76/21.56 % (1420132)Instruction limit reached!
% 146.76/21.56 % (1420132)------------------------------
% 146.76/21.56 % (1420132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.76/21.56 % (1420132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.76/21.56 % (1420132)CaDiCaL version: 2.1.3
% 146.76/21.56 % (1420132)Termination reason: Instruction limit
% 146.76/21.56 % (1420132)Termination phase: Saturation
% 146.76/21.56 % (1420132)Time elapsed: 4.286 s
% 146.76/21.56 % (1420132)Peak memory usage: 171 MB
% 146.76/21.56 % (1420132)Instructions burned: 6995 (million)
% 146.76/21.56 % (1420151)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=1809210018:cts=off:i=2759:kws=inv_arity:fgj=on_2818 on theBenchmark for (2818ds/2759Mi)
% 146.76/21.56 % (1420151)Refutation not found, incomplete strategy
% 146.76/21.56 % (1420151)------------------------------
% 146.76/21.56 % (1420151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.76/21.56 % (1420151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.76/21.56 % (1420151)CaDiCaL version: 2.1.3
% 146.76/21.56 % (1420151)Termination reason: Refutation not found, incomplete strategy
% 146.76/21.56 % (1420151)Time elapsed: 0.582 s
% 146.76/21.56 % (1420151)Peak memory usage: 128 MB
% 146.76/21.56 % (1420151)Instructions burned: 888 (million)
% 146.76/21.56 % (1420151)------------------------------
% 146.76/21.56 % (1420151)------------------------------
% 146.76/21.56 % (1420153)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=66160704:st=1.2:i=5665:sd=2:ep=RSTC:gsp=on:ss=axioms_2808 on theBenchmark for (2808ds/5665Mi)
% 146.76/21.56 [W927 16:05:30.018476955 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.
% 146.76/21.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 146.76/21.56 [W927 16:05:30.018509888 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.
% 146.76/21.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 146.76/21.56 [W927 16:05:30.018546415 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.
% 146.76/21.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 146.76/21.56 [W927 16:05:30.018558621 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.
% 146.76/21.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 147.97/21.77 [W927 16:05:30.018583945 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.
% 147.97/21.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 147.97/21.77 [W927 16:05:30.018594828 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.
% 147.97/21.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 147.97/21.77 [W927 16:05:30.018618761 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.
% 147.97/21.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 147.97/21.77 [W927 16:05:30.018641081 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.
% 147.97/21.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 147.97/21.77 [W927 16:05:30.018664925 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.
% 147.97/21.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 147.97/21.77 [W927 16:05:30.018692748 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.
% 147.97/21.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 147.97/21.77 [W927 16:05:30.018718682 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.
% 147.97/21.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 147.97/21.77 [W927 16:05:30.018728885 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.
% 147.97/21.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 147.97/21.77 % (1420153)Refutation not found, incomplete strategy
% 147.97/21.77 % (1420153)------------------------------
% 147.97/21.77 % (1420153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.97/21.77 % (1420153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.97/21.77 % (1420153)CaDiCaL version: 2.1.3
% 147.97/21.77 % (1420153)Termination reason: Refutation not found, incomplete strategy
% 147.97/21.77 % (1420153)Time elapsed: 0.543 s
% 147.97/21.77 % (1420153)Peak memory usage: 126 MB
% 147.97/21.77 % (1420153)Instructions burned: 826 (million)
% 147.97/21.77 % (1420153)------------------------------
% 147.97/21.77 % (1420153)------------------------------
% 147.97/21.77 % (1420155)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=1679220534:i=1532:ep=RS:ss=axioms_2799 on theBenchmark for (2799ds/1532Mi)
% 147.97/21.77 % (1420141)Instruction limit reached!
% 147.97/21.77 % (1420141)------------------------------
% 147.97/21.77 % (1420141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.97/21.77 % (1420141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.97/21.77 % (1420141)CaDiCaL version: 2.1.3
% 147.97/21.77 % (1420141)Termination reason: Instruction limit
% 147.97/21.77 % (1420141)Termination phase: Saturation
% 147.97/21.77 % (1420141)Time elapsed: 4.344 s
% 147.97/21.77 % (1420141)Peak memory usage: 263 MB
% 147.97/21.77 % (1420141)Instructions burned: 13496 (million)
% 147.97/21.77 [W927 16:05:31.946238029 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.
% 147.97/21.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946269379 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946314153 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946325596 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946350060 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946360293 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946384806 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946395506 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946420116 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946430713 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946457400 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.946468286 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 % (1420157)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_first:erd=off:flr=on:newcnf=on:random_seed=680114519:i=1565:sd=2:ss=axioms:sgt=32_2794 on theBenchmark for (2794ds/1565Mi)
% 136.64/23.37 % (1420155)Refutation not found, incomplete strategy
% 136.64/23.37 % (1420155)------------------------------
% 136.64/23.37 % (1420155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.64/23.37 % (1420155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.64/23.37 % (1420155)CaDiCaL version: 2.1.3
% 136.64/23.37 % (1420155)Termination reason: Refutation not found, incomplete strategy
% 136.64/23.37 % (1420155)Time elapsed: 0.543 s
% 136.64/23.37 % (1420155)Peak memory usage: 125 MB
% 136.64/23.37 % (1420155)Instructions burned: 822 (million)
% 136.64/23.37 [W927 16:05:31.218404465 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218430293 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218451520 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218460050 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218473688 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218478995 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218491924 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218497655 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218510051 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218515461 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218527757 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 [W927 16:05:31.218533210 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.
% 136.64/23.37 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 136.64/23.37 % (1420157)Refutation not found, incomplete strategy
% 136.64/23.37 % (1420157)------------------------------
% 136.64/23.37 % (1420157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.64/23.37 % (1420157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.64/23.37 % (1420157)CaDiCaL version: 2.1.3
% 136.64/23.37 % (1420157)Termination reason: Refutation not found, incomplete strategy
% 136.64/23.37 % (1420157)Time elapsed: 0.314 s
% 136.64/23.37 % (1420157)Peak memory usage: 125 MB
% 136.64/23.37 % (1420157)Instructions burned: 826 (million)
% 136.64/23.37 % (1420155)------------------------------
% 136.64/23.37 % (1420155)------------------------------
% 136.64/23.37 % (1420159)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=961026533:i=1572:fgj=on:gsp=on_2790 on theBenchmark for (2790ds/1572Mi)
% 136.64/23.37 % (1420157)------------------------------
% 136.64/23.37 % (1420157)------------------------------
% 136.64/23.37 % (1420161)lrs-1002_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:fde=none:sp=occurrence:sos=on:newcnf=on:random_seed=140143738:i=6052:sd=4:ss=axioms:sgt=24_2788 on theBenchmark for (2788ds/6052Mi)
% 136.64/23.37 % (1420159)Instruction limit reached!
% 136.64/23.37 % (1420159)------------------------------
% 136.64/23.37 % (1420159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.64/23.37 % (1420159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.64/23.37 % (1420159)CaDiCaL version: 2.1.3
% 136.64/23.37 % (1420159)Termination reason: Instruction limit
% 136.64/23.37 % (1420159)Termination phase: Saturation
% 136.64/23.37 % (1420159)Time elapsed: 0.555 s
% 136.64/23.37 % (1420159)Peak memory usage: 136 MB
% 136.64/23.37 % (1420159)Instructions burned: 1574 (million)
% 136.64/23.37 % (1420163)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=3481129870:i=3500:sd=1:bd=preordered:sup=off:ss=included_2783 on theBenchmark for (2783ds/3500Mi)
% 136.64/23.37 % (1420161)Refutation not found, incomplete strategy
% 136.64/23.37 % (1420161)------------------------------
% 136.64/23.37 % (1420161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.64/23.37 % (1420161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.64/23.37 % (1420161)CaDiCaL version: 2.1.3
% 136.64/23.37 % (1420161)Termination reason: Refutation not found, incomplete strategy
% 136.64/23.37 % (1420161)Time elapsed: 0.564 s
% 136.64/23.37 % (1420161)Peak memory usage: 128 MB
% 136.64/23.37 % (1420161)Instructions burned: 854 (million)
% 136.64/23.37 % (1420163)Refutation not found, incomplete strategy
% 136.64/23.37 % (1420163)------------------------------
% 136.64/23.37 % (1420163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.64/23.37 % (1420163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.64/23.37 % (1420163)CaDiCaL version: 2.1.3
% 136.64/23.37 % (1420163)Termination reason: Refutation not found, incomplete strategy
% 136.64/23.37 % (1420163)Time elapsed: 0.316 s
% 136.64/23.37 % (1420163)Peak memory usage: 126 MB
% 136.64/23.37 % (1420163)Instructions burned: 828 (million)
% 136.64/23.37 % (1420161)------------------------------
% 136.64/23.37 % (1420161)------------------------------
% 136.64/23.37 % (1420008)First to succeed.
% 136.64/23.37 % (1420008)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1420003"
% 136.64/23.37 % (1420163)------------------------------
% 136.64/23.37 % (1420163)------------------------------
% 136.64/23.37 % (1420165)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=265494730:i=1842:sd=3:fgj=on:gtg=position:gsp=on:ss=axioms:sgt=20_2778 on theBenchmark for (2778ds/1842Mi)
% 136.64/23.37 % (1420166)lrs+11_1_anc=all_dependent:ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:bsr=unit_only:random_seed=556197323:i=66096:add=on_2778 on theBenchmark for (2778ds/66096Mi)
% 136.64/23.37 % (1420008)Refutation found. Thanks to Tanya!
% 136.64/23.37 % SZS status Theorem for theBenchmark
% 136.64/23.37 % SZS output start Proof for theBenchmark
% See solution above
% 159.92/23.47 % (1420008)------------------------------
% 159.92/23.47 % (1420008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 159.92/23.47 % (1420008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.92/23.47 % (1420008)CaDiCaL version: 2.1.3
% 159.92/23.47 % (1420008)Termination reason: Refutation
% 159.92/23.47 % (1420008)Time elapsed: 22.031 s
% 159.92/23.47 % (1420008)Peak memory usage: 460 MB
% 159.92/23.47 % (1420008)Instructions burned: 35808 (million)
% 159.92/23.47 % (1420008)------------------------------
% 159.92/23.47 % (1420008)------------------------------
% 159.92/23.47 % (1420003)Success in time 22.535 s
% 159.92/23.47 % Vampire exiting
%------------------------------------------------------------------------------