%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL575+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:53:06 AM UTC 2026
% Result : Theorem 43.17s 7.90s
% Output : Refutation 50.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 32
% Syntax : Number of formulae : 442 ( 282 unt; 2 def)
% Number of atoms : 653 ( 192 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 393 ( 182 ~; 174 |; 4 &)
% ( 12 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 18 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 808 ( 0 sgn 807 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).
fof(f3,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).
fof(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',adjunction) ).
fof(f9,axiom,
( substitution_strict_equiv
<=> ! [X0,X1] :
( is_a_theorem(strict_equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_strict_equiv) ).
fof(f13,axiom,
( axiom_B
<=> ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_B) ).
fof(f19,axiom,
( axiom_m1
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m1) ).
fof(f20,axiom,
( axiom_m2
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_m3) ).
fof(f22,axiom,
( axiom_m4
<=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_m5) ).
fof(f28,axiom,
( axiom_m10
<=> ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m10) ).
fof(f29,axiom,
( op_possibly
=> ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_possibly) ).
fof(f31,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_strict_implies) ).
fof(f32,axiom,
( op_strict_equiv
=> ! [X0,X1] : strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_strict_equiv) ).
fof(f33,axiom,
op_possibly,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_possibly) ).
fof(f36,axiom,
op_strict_implies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
fof(f38,axiom,
op_strict_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_equiv) ).
fof(f39,axiom,
modus_ponens_strict_implies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies) ).
fof(f40,axiom,
substitution_strict_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_substitution_strict_equiv) ).
fof(f41,axiom,
adjunction,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_adjunction) ).
fof(f42,axiom,
axiom_m1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m1) ).
fof(f43,axiom,
axiom_m2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m2) ).
fof(f44,axiom,
axiom_m3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m3) ).
fof(f45,axiom,
axiom_m4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m4) ).
fof(f46,axiom,
axiom_m5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m5) ).
fof(f47,axiom,
axiom_m10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_m10_axiom_m10) ).
fof(f48,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f49,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f52,conjecture,
axiom_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_B) ).
fof(f53,negated_conjecture,
~ axiom_B,
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f54,plain,
~ axiom_B,
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(X0,necessarily(possibly(X0))))
=> axiom_B ),
inference(unused_predicate_definition_removal,[],[f13]) ).
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_B
| ? [X0] : ~ is_a_theorem(implies(X0,necessarily(possibly(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_B
| ~ is_a_theorem(implies(sK0,necessarily(possibly(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_B
| ~ is_a_theorem(implies(sK0,necessarily(possibly(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_B,
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(sK0,necessarily(possibly(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,
! [X0,X1] : possibly(and(X0,not(X1))) = not(necessarily(implies(X0,X1))),
inference(superposition,[],[f125,f137]) ).
fof(f142,plain,
! [X0] : possibly(necessarily(not(X0))) = not(necessarily(possibly(X0))),
inference(superposition,[],[f125,f125]) ).
fof(f144,plain,
! [X0,X1] : possibly(and(X0,not(X1))) = not(strict_implies(X0,X1)),
inference(forward_demodulation,[],[f141,f124]) ).
fof(f145,plain,
! [X2,X0,X1] : or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2),
inference(superposition,[],[f139,f137]) ).
fof(f146,plain,
! [X0,X1] : or(necessarily(not(X0)),X1) = implies(possibly(X0),X1),
inference(superposition,[],[f139,f125]) ).
fof(f147,plain,
! [X0,X1] : strict_implies(not(X0),X1) = necessarily(or(X0,X1)),
inference(superposition,[],[f124,f139]) ).
fof(f150,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(f151,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,[],[f150,f134]) ).
fof(f152,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,necessarily(possibly(X1))))
| ~ is_a_theorem(strict_implies(X0,possibly(X1))) ),
inference(resolution,[],[f151,f126]) ).
fof(f153,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,and(X1,X1)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f151,f128]) ).
fof(f173,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(f177,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(and(X0,X0),X0))
| is_a_theorem(strict_equiv(and(X0,X0),X0)) ),
inference(resolution,[],[f173,f128]) ).
fof(f179,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,[],[f173,f131]) ).
fof(f181,plain,
! [X0,X1] : is_a_theorem(strict_equiv(and(X0,X1),and(X1,X0))),
inference(forward_subsumption_resolution,[],[f179,f131]) ).
fof(f182,plain,
! [X0] : is_a_theorem(strict_equiv(and(X0,X0),X0)),
inference(forward_subsumption_resolution,[],[f177,f130]) ).
fof(f237,plain,
! [X0] : and(X0,X0) = X0,
inference(resolution,[],[f133,f182]) ).
fof(f238,plain,
! [X0,X1] : and(X0,X1) = and(X1,X0),
inference(resolution,[],[f133,f181]) ).
fof(f248,plain,
! [X0] : is_a_theorem(strict_implies(X0,X0)),
inference(superposition,[],[f131,f237]) ).
fof(f254,plain,
! [X0] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[],[f137,f237]) ).
fof(f262,plain,
! [X0] : not(not(X0)) = or(X0,X0),
inference(forward_demodulation,[],[f254,f139]) ).
fof(f294,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),X1)),
inference(superposition,[],[f130,f238]) ).
fof(f302,plain,
! [X0,X1] : implies(X1,X0) = not(and(not(X0),X1)),
inference(superposition,[],[f137,f238]) ).
fof(f304,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X0,and(X1,X2)),and(X1,and(X2,X0)))),
inference(superposition,[],[f129,f238]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,and(X1,X2)))
| is_a_theorem(strict_implies(X0,X2)) ),
inference(resolution,[],[f294,f151]) ).
fof(f336,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(superposition,[],[f137,f302]) ).
fof(f346,plain,
! [X0,X1] : implies(not(X0),X1) = or(X1,X0),
inference(forward_demodulation,[],[f336,f139]) ).
fof(f354,plain,
! [X0,X1] : or(X0,X1) = or(X1,X0),
inference(forward_demodulation,[],[f346,f139]) ).
fof(f360,plain,
! [X0,X1] : necessarily(or(X0,X1)) = strict_implies(not(X1),X0),
inference(superposition,[],[f147,f354]) ).
fof(f361,plain,
! [X0,X1] : or(X0,necessarily(not(X1))) = implies(possibly(X1),X0),
inference(superposition,[],[f146,f354]) ).
fof(f362,plain,
! [X0,X1] : strict_implies(not(X0),X1) = strict_implies(not(X1),X0),
inference(forward_demodulation,[],[f360,f147]) ).
fof(f367,plain,
! [X2,X0,X1] : strict_implies(not(X2),and(X0,not(X1))) = strict_implies(implies(X0,X1),X2),
inference(superposition,[],[f362,f137]) ).
fof(f368,plain,
! [X2,X0,X1] : strict_implies(implies(X0,X1),X2) = strict_implies(not(X2),and(not(X1),X0)),
inference(superposition,[],[f362,f302]) ).
fof(f369,plain,
! [X0,X1] : strict_implies(possibly(X0),X1) = strict_implies(not(X1),necessarily(not(X0))),
inference(superposition,[],[f362,f125]) ).
fof(f387,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| ~ is_a_theorem(not(X1))
| is_a_theorem(X0) ),
inference(superposition,[],[f135,f362]) ).
fof(f391,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,[],[f173,f362]) ).
fof(f392,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(not(and(X0,X0)),X1))
| ~ is_a_theorem(strict_implies(not(X1),X0)) ),
inference(superposition,[],[f153,f362]) ).
fof(f393,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(not(necessarily(possibly(X0))),X1))
| ~ is_a_theorem(strict_implies(not(X1),possibly(X0))) ),
inference(superposition,[],[f152,f362]) ).
fof(f394,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X1),X0))
| is_a_theorem(strict_implies(not(X0),X1)) ),
inference(forward_demodulation,[],[f392,f237]) ).
fof(f399,plain,
! [X0] : is_a_theorem(strict_implies(not(not(X0)),X0)),
inference(resolution,[],[f394,f248]) ).
fof(f414,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,not(not(X1))))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f399,f151]) ).
fof(f465,plain,
! [X0] : strict_implies(not(X0),X0) = necessarily(not(not(X0))),
inference(superposition,[],[f147,f262]) ).
fof(f523,plain,
! [X0] :
( is_a_theorem(necessarily(not(not(and(X0,X0)))))
| ~ is_a_theorem(strict_implies(not(and(X0,X0)),X0)) ),
inference(superposition,[],[f153,f465]) ).
fof(f529,plain,
! [X0] :
( is_a_theorem(necessarily(not(not(X0))))
| ~ is_a_theorem(strict_implies(not(and(X0,X0)),X0)) ),
inference(forward_demodulation,[],[f523,f237]) ).
fof(f532,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(not(X0),X0))
| is_a_theorem(necessarily(not(not(X0)))) ),
inference(forward_demodulation,[],[f529,f237]) ).
fof(f581,plain,
! [X0] : is_a_theorem(strict_implies(not(not(not(not(X0)))),X0)),
inference(resolution,[],[f414,f399]) ).
fof(f589,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(not(not(X0))),X1))
| is_a_theorem(strict_implies(not(X1),X0)) ),
inference(superposition,[],[f414,f362]) ).
fof(f709,plain,
! [X2,X0,X1] : strict_implies(implies(not(X0),X1),X2) = strict_implies(implies(not(X1),X0),X2),
inference(superposition,[],[f368,f367]) ).
fof(f736,plain,
! [X2,X0,X1] : strict_implies(implies(not(X0),X1),X2) = strict_implies(or(X1,X0),X2),
inference(forward_demodulation,[],[f709,f139]) ).
fof(f750,plain,
! [X2,X0,X1] : strict_implies(or(X1,X0),X2) = strict_implies(or(X0,X1),X2),
inference(forward_demodulation,[],[f736,f139]) ).
fof(f820,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(and(X0,and(X2,X1)),and(X2,and(X0,X1)))),
inference(superposition,[],[f304,f238]) ).
fof(f859,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(not(possibly(X0))),X1))
| is_a_theorem(strict_implies(not(X1),necessarily(not(X0)))) ),
inference(superposition,[],[f589,f125]) ).
fof(f871,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(not(possibly(X0))),X1))
| is_a_theorem(strict_implies(possibly(X0),X1)) ),
inference(forward_demodulation,[],[f859,f369]) ).
fof(f882,plain,
! [X0] : is_a_theorem(strict_implies(possibly(X0),not(not(possibly(X0))))),
inference(resolution,[],[f871,f248]) ).
fof(f895,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(not(not(possibly(X0))),possibly(X0)))
| is_a_theorem(strict_equiv(not(not(possibly(X0))),possibly(X0))) ),
inference(resolution,[],[f882,f173]) ).
fof(f900,plain,
! [X0] : is_a_theorem(strict_equiv(not(not(possibly(X0))),possibly(X0))),
inference(forward_subsumption_resolution,[],[f895,f399]) ).
fof(f901,plain,
! [X0] : possibly(X0) = not(not(possibly(X0))),
inference(resolution,[],[f900,f133]) ).
fof(f915,plain,
! [X0,X1] : implies(possibly(X0),X1) = or(not(possibly(X0)),X1),
inference(superposition,[],[f139,f901]) ).
fof(f997,plain,
! [X0,X1] : implies(possibly(X0),X1) = or(X1,not(possibly(X0))),
inference(superposition,[],[f354,f915]) ).
fof(f1455,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(and(X0,and(X1,X2)),and(X1,and(X0,X2))))
| is_a_theorem(strict_equiv(and(X0,and(X1,X2)),and(X1,and(X0,X2)))) ),
inference(resolution,[],[f820,f173]) ).
fof(f1474,plain,
! [X2,X0,X1] : is_a_theorem(strict_equiv(and(X0,and(X1,X2)),and(X1,and(X0,X2)))),
inference(forward_subsumption_resolution,[],[f1455,f820]) ).
fof(f1475,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(X1,and(X0,X2)),
inference(resolution,[],[f1474,f133]) ).
fof(f1505,plain,
! [X0,X1] : and(X1,X0) = and(X0,and(X1,X0)),
inference(superposition,[],[f1475,f237]) ).
fof(f1554,plain,
! [X0,X1] : and(X0,X1) = and(X0,and(and(X0,X1),X1)),
inference(superposition,[],[f237,f1475]) ).
fof(f1568,plain,
! [X2,X0,X1] : and(X0,and(X1,X2)) = and(and(X0,X2),X1),
inference(superposition,[],[f238,f1475]) ).
fof(f1585,plain,
! [X0,X1] : and(X0,X1) = and(X0,and(X0,and(X1,X1))),
inference(forward_demodulation,[],[f1554,f1568]) ).
fof(f1600,plain,
! [X0,X1] : and(X0,X1) = and(X0,and(X0,X1)),
inference(forward_demodulation,[],[f1585,f237]) ).
fof(f1973,plain,
! [X0,X1] : not(and(not(X0),X1)) = implies(and(not(X0),X1),X0),
inference(superposition,[],[f302,f1600]) ).
fof(f1978,plain,
! [X0,X1] : implies(X1,X0) = implies(and(not(X0),X1),X0),
inference(forward_demodulation,[],[f1973,f302]) ).
fof(f2032,plain,
! [X0,X1] : implies(X0,X1) = implies(and(X0,not(X1)),X1),
inference(superposition,[],[f1978,f238]) ).
fof(f2041,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(and(not(X1),X0),X1),
inference(superposition,[],[f124,f1978]) ).
fof(f2044,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(and(not(X1),X0),X1),
inference(forward_demodulation,[],[f2041,f124]) ).
fof(f2090,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(and(X0,not(X1)),X1),
inference(superposition,[],[f124,f2032]) ).
fof(f2093,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(and(X0,not(X1)),X1),
inference(forward_demodulation,[],[f2090,f124]) ).
fof(f2143,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X2,and(X0,not(X1))))
| ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_implies(X2,X1)) ),
inference(superposition,[],[f151,f2093]) ).
fof(f2354,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(strict_implies(and(and(X0,not(X1)),X2),X1)) ),
inference(resolution,[],[f2143,f130]) ).
fof(f2381,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(and(X0,and(X2,not(X1))),X1))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f2354,f1568]) ).
fof(f2482,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,not(X1)),X1))
| ~ is_a_theorem(strict_implies(not(X1),X1)) ),
inference(superposition,[],[f2381,f2044]) ).
fof(f2487,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X1),X1))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f2482,f2093]) ).
fof(f2516,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(not(not(X0))))
| is_a_theorem(strict_implies(X1,X0)) ),
inference(superposition,[],[f2487,f465]) ).
fof(f3270,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X1),X2))
| is_a_theorem(strict_implies(not(X2),X0)) ),
inference(superposition,[],[f322,f368]) ).
fof(f3271,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X1),X2))
| is_a_theorem(strict_implies(not(X2),not(X1))) ),
inference(superposition,[],[f322,f367]) ).
fof(f3282,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(X0,X1)),X0)),
inference(resolution,[],[f3270,f248]) ).
fof(f3315,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(X0),implies(X0,X1))),
inference(superposition,[],[f3282,f362]) ).
fof(f3665,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(X0,X1)),not(X1))),
inference(resolution,[],[f3271,f248]) ).
fof(f3688,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(implies(X0,not(X1))),X1)),
inference(resolution,[],[f3665,f414]) ).
fof(f4459,definition,
( spl1_1
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f4460,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f4459]) ).
fof(f4545,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(X0),implies(X1,not(X0)))),
inference(superposition,[],[f3688,f362]) ).
fof(f4694,plain,
! [X0,X1] : is_a_theorem(strict_implies(or(X0,X1),or(X1,X0))),
inference(superposition,[],[f248,f750]) ).
fof(f4882,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,[],[f581,f391]) ).
fof(f4925,plain,
! [X0] : is_a_theorem(strict_equiv(not(not(not(X0))),not(X0))),
inference(forward_subsumption_resolution,[],[f4882,f399]) ).
fof(f4927,plain,
! [X0] : not(X0) = not(not(not(X0))),
inference(resolution,[],[f4925,f133]) ).
fof(f4942,plain,
! [X0,X1] : implies(X0,X1) = not(not(implies(X0,X1))),
inference(superposition,[],[f4927,f302]) ).
fof(f4966,plain,
! [X0,X1] : not(and(not(X0),X1)) = implies(X1,not(not(X0))),
inference(superposition,[],[f302,f4927]) ).
fof(f4969,plain,
! [X0,X1] : strict_implies(not(X0),X1) = strict_implies(not(X1),not(not(X0))),
inference(superposition,[],[f362,f4927]) ).
fof(f5035,plain,
! [X0,X1] : implies(X1,X0) = implies(X1,not(not(X0))),
inference(forward_demodulation,[],[f4966,f302]) ).
fof(f5057,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(necessarily(implies(X0,X1)))
| is_a_theorem(strict_implies(X2,implies(X0,X1))) ),
inference(superposition,[],[f2516,f4942]) ).
fof(f5060,plain,
! [X0,X1] : not(necessarily(implies(X0,X1))) = possibly(not(implies(X0,X1))),
inference(superposition,[],[f125,f4942]) ).
fof(f5134,plain,
! [X0,X1] : not(strict_implies(X0,X1)) = possibly(not(implies(X0,X1))),
inference(forward_demodulation,[],[f5060,f124]) ).
fof(f5136,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(X2,implies(X0,X1)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f5057,f124]) ).
fof(f5218,plain,
! [X0,X1] : necessarily(implies(X0,X1)) = strict_implies(X0,not(not(X1))),
inference(superposition,[],[f124,f5035]) ).
fof(f5265,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(X0,not(not(X1))),
inference(forward_demodulation,[],[f5218,f124]) ).
fof(f5318,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,[],[f173,f5265]) ).
fof(f5645,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f5136,f135]) ).
fof(f5686,definition,
( spl1_7
<=> ! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(implies(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f5687,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f5686]) ).
fof(f5688,plain,
( spl1_1
| spl1_7 ),
inference(avatar_split_clause,[],[f5645,f5686,f4459]) ).
fof(f5751,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| is_a_theorem(implies(not(X1),X0)) )
| ~ spl1_7 ),
inference(superposition,[],[f5687,f362]) ).
fof(f5778,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),X1))
| is_a_theorem(or(X1,X0)) )
| ~ spl1_7 ),
inference(forward_demodulation,[],[f5751,f139]) ).
fof(f5918,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(X0),possibly(X1)))
| is_a_theorem(or(X0,necessarily(possibly(X1)))) )
| ~ spl1_7 ),
inference(resolution,[],[f5778,f393]) ).
fof(f6169,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(X0,X0))
| is_a_theorem(strict_equiv(not(not(X0)),X0)) ),
inference(resolution,[],[f5318,f399]) ).
fof(f6228,plain,
! [X0] : is_a_theorem(strict_equiv(not(not(X0)),X0)),
inference(forward_subsumption_resolution,[],[f6169,f248]) ).
fof(f6243,plain,
! [X0] : not(not(X0)) = X0,
inference(resolution,[],[f6228,f133]) ).
fof(f6266,plain,
! [X0,X1] : and(not(X1),X0) = not(implies(X0,X1)),
inference(superposition,[],[f6243,f302]) ).
fof(f6268,plain,
! [X0] : not(possibly(X0)) = necessarily(not(X0)),
inference(superposition,[],[f6243,f125]) ).
fof(f6273,plain,
! [X0] : necessarily(X0) = strict_implies(not(X0),X0),
inference(superposition,[],[f465,f6243]) ).
fof(f6277,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X1,X0))
| ~ is_a_theorem(necessarily(X0)) ),
inference(superposition,[],[f2516,f6243]) ).
fof(f6292,plain,
! [X0] : possibly(not(X0)) = not(necessarily(X0)),
inference(superposition,[],[f125,f6243]) ).
fof(f6293,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X1,X0)),
inference(superposition,[],[f137,f6243]) ).
fof(f6294,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(superposition,[],[f139,f6243]) ).
fof(f6296,plain,
! [X0,X1] : not(strict_implies(X1,not(X0))) = possibly(and(X1,X0)),
inference(superposition,[],[f144,f6243]) ).
fof(f6299,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X0,X1)),
inference(superposition,[],[f302,f6243]) ).
fof(f6311,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,[],[f391,f6243]) ).
fof(f6335,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(not(X0),X1))),
inference(superposition,[],[f3315,f6243]) ).
fof(f6350,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,X0))),
inference(superposition,[],[f4545,f6243]) ).
fof(f6353,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(not(X1),not(X0)),
inference(superposition,[],[f4969,f6243]) ).
fof(f6368,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,or(X0,X1))),
inference(forward_demodulation,[],[f6335,f139]) ).
fof(f6370,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,[],[f6311,f6353]) ).
fof(f6374,plain,
! [X0,X1] : not(and(X0,X1)) = not(and(X1,X0)),
inference(forward_demodulation,[],[f6293,f6299]) ).
fof(f6401,plain,
! [X0] : is_a_theorem(strict_implies(not(necessarily(X0)),necessarily(not(necessarily(X0))))),
inference(superposition,[],[f126,f6292]) ).
fof(f6466,plain,
! [X0] : is_a_theorem(strict_implies(possibly(necessarily(X0)),necessarily(X0))),
inference(forward_demodulation,[],[f6401,f369]) ).
fof(f6496,plain,
! [X2,X0,X1] : not(and(and(not(X1),X0),X2)) = implies(X2,implies(X0,X1)),
inference(superposition,[],[f6299,f302]) ).
fof(f6512,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = necessarily(not(and(X0,X1))),
inference(superposition,[],[f124,f6299]) ).
fof(f6536,plain,
! [X0,X1] : not(and(X0,not(X1))) = or(X1,not(X0)),
inference(superposition,[],[f139,f6299]) ).
fof(f6558,plain,
! [X0,X1] : implies(X0,X1) = or(X1,not(X0)),
inference(forward_demodulation,[],[f6536,f137]) ).
fof(f6570,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = not(possibly(and(X0,X1))),
inference(forward_demodulation,[],[f6512,f6268]) ).
fof(f6581,plain,
! [X2,X0,X1] : not(and(not(X1),and(X2,X0))) = implies(X2,implies(X0,X1)),
inference(forward_demodulation,[],[f6496,f1568]) ).
fof(f6591,plain,
! [X2,X0,X1] : implies(and(X2,X0),X1) = implies(X2,implies(X0,X1)),
inference(forward_demodulation,[],[f6581,f302]) ).
fof(f6988,plain,
! [X0,X1] : necessarily(not(and(X0,X1))) = not(possibly(and(X1,X0))),
inference(superposition,[],[f6268,f6374]) ).
fof(f6994,plain,
! [X0,X1] : strict_implies(X0,not(X1)) = necessarily(not(and(X0,X1))),
inference(forward_demodulation,[],[f6988,f6570]) ).
fof(f7115,plain,
! [X0,X1] : strict_implies(X0,not(X1)) = not(possibly(and(X0,X1))),
inference(forward_demodulation,[],[f6994,f6268]) ).
fof(f7159,plain,
! [X0,X1] : strict_implies(X0,not(X1)) = strict_implies(X1,not(X0)),
inference(forward_demodulation,[],[f7115,f6570]) ).
fof(f7382,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = strict_implies(X0,not(and(X1,not(not(X0))))),
inference(superposition,[],[f2093,f7159]) ).
fof(f7399,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = strict_implies(X0,implies(X1,not(X0))),
inference(forward_demodulation,[],[f7382,f137]) ).
fof(f7501,plain,
! [X0,X1] : strict_implies(X1,not(X0)) = strict_implies(X0,not(and(X0,X1))),
inference(forward_demodulation,[],[f7399,f6299]) ).
fof(f7738,plain,
! [X2,X0,X1] :
( is_a_theorem(strict_implies(X0,implies(X2,X1)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f6350,f151]) ).
fof(f7775,plain,
! [X2,X0,X1] : implies(and(X0,not(X1)),X2) = or(implies(X0,X1),X2),
inference(superposition,[],[f6294,f137]) ).
fof(f7779,plain,
! [X2,X0,X1] : implies(and(not(X1),X0),X2) = or(implies(X0,X1),X2),
inference(superposition,[],[f6294,f302]) ).
fof(f7822,plain,
! [X2,X0,X1] : or(implies(X0,X1),X2) = implies(not(X1),implies(X0,X2)),
inference(forward_demodulation,[],[f7779,f6591]) ).
fof(f7826,plain,
! [X2,X0,X1] : or(implies(X0,X1),X2) = implies(X0,implies(not(X1),X2)),
inference(forward_demodulation,[],[f7775,f6591]) ).
fof(f7835,plain,
! [X2,X0,X1] : or(implies(X0,X1),X2) = or(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f7822,f139]) ).
fof(f7836,plain,
! [X2,X0,X1] : or(implies(X0,X1),X2) = implies(X0,or(X1,X2)),
inference(forward_demodulation,[],[f7826,f139]) ).
fof(f7837,plain,
! [X2,X0,X1] : or(X1,implies(X0,X2)) = implies(X0,or(X1,X2)),
inference(forward_demodulation,[],[f7836,f7835]) ).
fof(f8160,plain,
! [X0,X1] : strict_equiv(not(X0),not(X1)) = and(strict_implies(not(X0),not(X1)),strict_implies(X0,X1)),
inference(superposition,[],[f123,f6353]) ).
fof(f8174,plain,
! [X0,X1] : and(strict_implies(X1,X0),strict_implies(X0,X1)) = strict_equiv(not(X0),not(X1)),
inference(forward_demodulation,[],[f8160,f6353]) ).
fof(f8216,plain,
! [X0,X1] : strict_equiv(X1,X0) = strict_equiv(not(X0),not(X1)),
inference(forward_demodulation,[],[f8174,f123]) ).
fof(f8404,plain,
! [X2,X0,X1] : strict_implies(X2,strict_implies(X0,not(X1))) = strict_implies(possibly(and(X1,X0)),not(X2)),
inference(superposition,[],[f7159,f6570]) ).
fof(f8617,plain,
! [X0,X1] : and(not(X1),not(X0)) = not(or(X0,X1)),
inference(superposition,[],[f6266,f139]) ).
fof(f8897,plain,
! [X0,X1] : strict_implies(not(X1),not(X0)) = strict_implies(X0,implies(X0,X1)),
inference(superposition,[],[f7501,f137]) ).
fof(f8901,plain,
! [X0,X1] : strict_implies(X0,not(not(X1))) = strict_implies(not(X1),implies(X0,X1)),
inference(superposition,[],[f7501,f302]) ).
fof(f8968,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(not(X1),implies(X0,X1)),
inference(forward_demodulation,[],[f8901,f5265]) ).
fof(f8969,plain,
! [X0,X1] : strict_implies(X0,X1) = strict_implies(X0,implies(X0,X1)),
inference(forward_demodulation,[],[f8897,f6353]) ).
fof(f9654,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,possibly(necessarily(X1))))
| is_a_theorem(strict_implies(X0,necessarily(X1))) ),
inference(resolution,[],[f6466,f151]) ).
fof(f9678,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X0,possibly(necessarily(X1))),necessarily(X1))),
inference(resolution,[],[f9654,f294]) ).
fof(f9743,plain,
! [X0,X1] : not(not(implies(X0,X1))) = implies(X0,or(implies(X0,X1),X1)),
inference(superposition,[],[f262,f7837]) ).
fof(f9746,plain,
! [X2,X0,X1] : strict_implies(not(X1),implies(X0,X2)) = necessarily(implies(X0,or(X1,X2))),
inference(superposition,[],[f147,f7837]) ).
fof(f9770,plain,
! [X2,X0,X1] : strict_implies(X0,or(X1,X2)) = strict_implies(not(X1),implies(X0,X2)),
inference(forward_demodulation,[],[f9746,f124]) ).
fof(f9773,plain,
! [X0,X1] : not(not(implies(X0,X1))) = implies(X0,or(X1,implies(X0,X1))),
inference(forward_demodulation,[],[f9743,f7835]) ).
fof(f9799,plain,
! [X0,X1] : not(not(implies(X0,X1))) = implies(X0,implies(X0,or(X1,X1))),
inference(forward_demodulation,[],[f9773,f7837]) ).
fof(f9807,plain,
! [X0,X1] : not(not(implies(X0,X1))) = implies(X0,implies(X0,not(not(X1)))),
inference(forward_demodulation,[],[f9799,f262]) ).
fof(f9813,plain,
! [X0,X1] : not(not(implies(X0,X1))) = implies(X0,implies(X0,X1)),
inference(forward_demodulation,[],[f9807,f5035]) ).
fof(f9816,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,implies(X0,X1)),
inference(forward_demodulation,[],[f9813,f4942]) ).
fof(f9981,plain,
! [X2,X0,X1] : strict_implies(not(X2),not(and(X0,X1))) = strict_implies(X1,or(X2,not(X0))),
inference(superposition,[],[f9770,f6299]) ).
fof(f10009,plain,
! [X2,X0,X1] : strict_implies(X0,or(X1,X2)) = strict_implies(not(implies(X0,X2)),X1),
inference(superposition,[],[f362,f9770]) ).
fof(f10026,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,or(X1,not(X1)))),
inference(superposition,[],[f6350,f9770]) ).
fof(f10044,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,X1))),
inference(forward_demodulation,[],[f10026,f6558]) ).
fof(f10060,plain,
! [X2,X0,X1] : strict_implies(X0,or(X1,X2)) = strict_implies(and(not(X2),X0),X1),
inference(forward_demodulation,[],[f10009,f6266]) ).
fof(f10085,plain,
! [X2,X0,X1] : strict_implies(not(X2),not(and(X0,X1))) = strict_implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f9981,f6558]) ).
fof(f10127,plain,
! [X2,X0,X1] : strict_implies(and(X0,X1),X2) = strict_implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f10085,f6353]) ).
fof(f10177,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| is_a_theorem(strict_equiv(implies(X0,X0),X1)) ),
inference(resolution,[],[f10044,f173]) ).
fof(f10189,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,[],[f10044,f5318]) ).
fof(f10227,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| is_a_theorem(strict_equiv(X1,implies(X0,X0))) ),
inference(forward_demodulation,[],[f10189,f6243]) ).
fof(f10625,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,and(X0,X1)))),
inference(superposition,[],[f131,f10127]) ).
fof(f10632,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(X0,X1),implies(strict_implies(X2,X0),strict_implies(X2,X1)))),
inference(superposition,[],[f127,f10127]) ).
fof(f10634,plain,
! [X0,X1] : is_a_theorem(strict_implies(X0,implies(X1,and(X1,X0)))),
inference(superposition,[],[f248,f10127]) ).
fof(f10828,plain,
! [X0,X1] :
( ~ is_a_theorem(not(implies(X0,and(not(X1),X0))))
| is_a_theorem(X1) ),
inference(resolution,[],[f10625,f387]) ).
fof(f10888,plain,
! [X0,X1] :
( ~ is_a_theorem(and(not(and(not(X1),X0)),X0))
| is_a_theorem(X1) ),
inference(forward_demodulation,[],[f10828,f6266]) ).
fof(f10902,plain,
! [X0,X1] :
( ~ is_a_theorem(and(implies(X0,X1),X0))
| is_a_theorem(X1) ),
inference(forward_demodulation,[],[f10888,f302]) ).
fof(f12676,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f4460,f248]) ).
fof(f12801,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f12676]) ).
fof(f17869,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(strict_implies(X2,X0),strict_implies(X2,X1)))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(resolution,[],[f10632,f135]) ).
fof(f17886,plain,
! [X0,X1] : is_a_theorem(strict_implies(necessarily(not(not(X0))),implies(strict_implies(X1,not(X0)),strict_implies(X1,X0)))),
inference(superposition,[],[f10632,f465]) ).
fof(f18055,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(possibly(not(X0))),implies(strict_implies(X1,not(X0)),strict_implies(X1,X0)))),
inference(forward_demodulation,[],[f17886,f6268]) ).
fof(f18081,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X1,not(X0)),or(possibly(not(X0)),strict_implies(X1,X0)))),
inference(forward_demodulation,[],[f18055,f9770]) ).
fof(f18091,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X1,not(X0)),or(not(necessarily(X0)),strict_implies(X1,X0)))),
inference(forward_demodulation,[],[f18081,f6292]) ).
fof(f18096,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(X1,not(X0)),implies(necessarily(X0),strict_implies(X1,X0)))),
inference(forward_demodulation,[],[f18091,f6294]) ).
fof(f18103,plain,
! [X0,X1] :
( is_a_theorem(implies(necessarily(X1),strict_implies(X0,X1)))
| ~ is_a_theorem(strict_implies(X0,not(X1))) ),
inference(resolution,[],[f18096,f135]) ).
fof(f18948,plain,
! [X0,X1] :
( is_a_theorem(implies(necessarily(X1),strict_implies(X0,X1)))
| ~ is_a_theorem(strict_implies(and(X0,not(X1)),not(X1))) ),
inference(superposition,[],[f18103,f2093]) ).
fof(f18976,plain,
! [X0,X1] : is_a_theorem(implies(necessarily(X1),strict_implies(X0,X1))),
inference(forward_subsumption_resolution,[],[f18948,f294]) ).
fof(f19125,plain,
! [X0,X1] : is_a_theorem(implies(necessarily(not(X0)),strict_implies(X0,X1))),
inference(superposition,[],[f18976,f6353]) ).
fof(f19165,plain,
! [X0,X1] : is_a_theorem(implies(not(possibly(X0)),strict_implies(X0,X1))),
inference(forward_demodulation,[],[f19125,f6268]) ).
fof(f19193,plain,
! [X0,X1] : is_a_theorem(or(possibly(X0),strict_implies(X0,X1))),
inference(forward_demodulation,[],[f19165,f139]) ).
fof(f20101,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f10902,f134]) ).
fof(f20852,plain,
! [X0,X1] : is_a_theorem(strict_equiv(implies(X0,X0),implies(X1,X1))),
inference(resolution,[],[f10227,f10044]) ).
fof(f20914,plain,
! [X0,X1] : implies(X0,X0) = implies(X1,X1),
inference(resolution,[],[f20852,f133]) ).
fof(f21089,plain,
! [X0,X1] : possibly(not(implies(X0,X0))) = not(strict_implies(X1,X1)),
inference(superposition,[],[f5134,f20914]) ).
fof(f21095,plain,
! [X0,X1] : not(implies(X0,X0)) = and(not(X1),X1),
inference(superposition,[],[f6266,f20914]) ).
fof(f21108,plain,
! [X0,X1] : implies(X0,X0) = implies(X1,implies(X0,X0)),
inference(superposition,[],[f9816,f20914]) ).
fof(f21167,plain,
! [X0,X1] : and(not(X0),X0) = and(not(X1),X1),
inference(forward_demodulation,[],[f21095,f6266]) ).
fof(f21172,plain,
! [X0,X1] : not(strict_implies(X0,X0)) = not(strict_implies(X1,X1)),
inference(forward_demodulation,[],[f21089,f5134]) ).
fof(f22131,plain,
! [X0,X1] : implies(X0,X0) = or(X1,implies(X0,X0)),
inference(superposition,[],[f139,f21108]) ).
fof(f22148,plain,
! [X0,X1] : implies(X0,X0) = implies(X0,or(X1,X0)),
inference(forward_demodulation,[],[f22131,f7837]) ).
fof(f22243,plain,
! [X0,X1] : strict_implies(X0,implies(X0,X0)) = strict_implies(X0,or(X1,X0)),
inference(superposition,[],[f8969,f22148]) ).
fof(f22276,plain,
! [X0,X1] : strict_implies(X0,X0) = strict_implies(X0,or(X1,X0)),
inference(forward_demodulation,[],[f22243,f8969]) ).
fof(f22320,plain,
! [X0,X1] : strict_implies(X0,X0) = strict_implies(X0,or(X0,X1)),
inference(superposition,[],[f22276,f354]) ).
fof(f24362,plain,
! [X2,X0,X1] : implies(strict_implies(X1,X1),X2) = or(X2,not(strict_implies(X0,X0))),
inference(superposition,[],[f6558,f21172]) ).
fof(f24386,plain,
! [X2,X0,X1] : implies(strict_implies(X1,X1),X2) = implies(strict_implies(X0,X0),X2),
inference(forward_demodulation,[],[f24362,f6558]) ).
fof(f27511,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(strict_implies(X0,X0),X1))
| is_a_theorem(X1)
| ~ is_a_theorem(strict_implies(X2,X2)) ),
inference(superposition,[],[f20101,f24386]) ).
fof(f27550,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(strict_implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f27511,f248]) ).
fof(f35884,plain,
! [X2,X0,X1] : strict_implies(implies(X1,X1),X2) = strict_implies(not(X2),and(not(X0),X0)),
inference(superposition,[],[f368,f21167]) ).
fof(f36108,plain,
! [X2,X0,X1] : strict_implies(implies(X1,X1),X2) = strict_implies(implies(X0,X0),X2),
inference(forward_demodulation,[],[f35884,f368]) ).
fof(f57207,plain,
( ! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(possibly(X0)),X1))
| is_a_theorem(or(X1,necessarily(possibly(X0)))) )
| ~ spl1_7 ),
inference(superposition,[],[f5918,f362]) ).
fof(f57397,plain,
( ! [X0,X1] : is_a_theorem(or(implies(X0,and(X0,not(possibly(X1)))),necessarily(possibly(X1))))
| ~ spl1_7 ),
inference(resolution,[],[f57207,f10634]) ).
fof(f57523,plain,
( ! [X0,X1] : is_a_theorem(or(and(X0,not(possibly(X1))),implies(X0,necessarily(possibly(X1)))))
| ~ spl1_7 ),
inference(forward_demodulation,[],[f57397,f7835]) ).
fof(f57588,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,possibly(X1)),implies(X0,necessarily(possibly(X1)))))
| ~ spl1_7 ),
inference(forward_demodulation,[],[f57523,f145]) ).
fof(f61446,plain,
! [X0,X1] : is_a_theorem(strict_implies(and(X1,not(necessarily(possibly(X0)))),necessarily(not(X0)))),
inference(superposition,[],[f9678,f142]) ).
fof(f61489,plain,
! [X0,X1] : is_a_theorem(strict_implies(not(necessarily(possibly(X0))),implies(X1,necessarily(not(X0))))),
inference(forward_demodulation,[],[f61446,f10127]) ).
fof(f61499,plain,
! [X0,X1] : is_a_theorem(strict_implies(X1,or(necessarily(possibly(X0)),necessarily(not(X0))))),
inference(forward_demodulation,[],[f61489,f9770]) ).
fof(f61506,plain,
! [X0,X1] : is_a_theorem(strict_implies(X1,implies(possibly(X0),necessarily(possibly(X0))))),
inference(forward_demodulation,[],[f61499,f361]) ).
fof(f61553,plain,
! [X0,X1] : is_a_theorem(strict_equiv(implies(X0,X0),implies(possibly(X1),necessarily(possibly(X1))))),
inference(resolution,[],[f61506,f10177]) ).
fof(f61903,plain,
! [X0,X1] : implies(X0,X0) = implies(possibly(X1),necessarily(possibly(X1))),
inference(resolution,[],[f61553,f133]) ).
fof(f61961,plain,
! [X2,X0] : implies(possibly(X0),necessarily(possibly(X0))) = implies(possibly(X2),necessarily(possibly(X2))),
inference(superposition,[],[f61903,f61903]) ).
fof(f62224,plain,
! [X0,X1] : necessarily(implies(X0,X0)) = strict_implies(possibly(X1),necessarily(possibly(X1))),
inference(superposition,[],[f124,f61903]) ).
fof(f62268,plain,
! [X2,X0,X1] : strict_implies(not(X2),implies(X0,X0)) = strict_implies(possibly(X1),or(X2,necessarily(possibly(X1)))),
inference(superposition,[],[f9770,f61903]) ).
fof(f62317,plain,
! [X2,X0,X1] : strict_implies(X0,or(X2,X0)) = strict_implies(possibly(X1),or(X2,necessarily(possibly(X1)))),
inference(forward_demodulation,[],[f62268,f9770]) ).
fof(f62336,plain,
! [X0,X1] : strict_implies(X0,X0) = strict_implies(possibly(X1),necessarily(possibly(X1))),
inference(forward_demodulation,[],[f62224,f124]) ).
fof(f62405,plain,
! [X2,X0,X1] : strict_implies(X0,X0) = strict_implies(possibly(X1),or(X2,necessarily(possibly(X1)))),
inference(forward_demodulation,[],[f62317,f22276]) ).
fof(f62533,plain,
! [X2,X0] :
( ~ is_a_theorem(implies(strict_implies(possibly(X0),necessarily(possibly(X0))),X2))
| is_a_theorem(X2) ),
inference(superposition,[],[f27550,f62336]) ).
fof(f63813,plain,
! [X2,X0,X1] : strict_implies(X2,X2) = strict_implies(possibly(X1),implies(X0,necessarily(possibly(X1)))),
inference(superposition,[],[f62405,f6294]) ).
fof(f64576,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X0))
| ~ is_a_theorem(strict_implies(X3,possibly(X1)))
| is_a_theorem(strict_implies(X3,implies(X2,necessarily(possibly(X1))))) ),
inference(superposition,[],[f151,f63813]) ).
fof(f64610,plain,
! [X2,X3,X1] :
( is_a_theorem(strict_implies(X3,implies(X2,necessarily(possibly(X1)))))
| ~ is_a_theorem(strict_implies(X3,possibly(X1))) ),
inference(forward_subsumption_resolution,[],[f64576,f248]) ).
fof(f65520,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(implies(X0,necessarily(possibly(X1)))),possibly(X1)))
| is_a_theorem(necessarily(not(not(implies(X0,necessarily(possibly(X1))))))) ),
inference(resolution,[],[f64610,f532]) ).
fof(f65684,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(and(not(necessarily(possibly(X1))),X0),possibly(X1)))
| is_a_theorem(necessarily(not(not(implies(X0,necessarily(possibly(X1))))))) ),
inference(forward_demodulation,[],[f65520,f6266]) ).
fof(f65709,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,or(possibly(X1),necessarily(possibly(X1)))))
| is_a_theorem(necessarily(not(not(implies(X0,necessarily(possibly(X1))))))) ),
inference(forward_demodulation,[],[f65684,f10060]) ).
fof(f65714,plain,
! [X0,X1] :
( is_a_theorem(not(possibly(not(implies(X0,necessarily(possibly(X1)))))))
| ~ is_a_theorem(strict_implies(X0,or(possibly(X1),necessarily(possibly(X1))))) ),
inference(forward_demodulation,[],[f65709,f6268]) ).
fof(f65717,plain,
! [X0,X1] :
( is_a_theorem(not(not(strict_implies(X0,necessarily(possibly(X1))))))
| ~ is_a_theorem(strict_implies(X0,or(possibly(X1),necessarily(possibly(X1))))) ),
inference(forward_demodulation,[],[f65714,f5134]) ).
fof(f65718,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X0,or(possibly(X1),necessarily(possibly(X1)))))
| is_a_theorem(strict_implies(X0,necessarily(possibly(X1)))) ),
inference(forward_demodulation,[],[f65717,f6243]) ).
fof(f70461,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(necessarily(possibly(X0)),X1))
| is_a_theorem(strict_implies(possibly(X0),X1)) ),
inference(resolution,[],[f62533,f17869]) ).
fof(f70553,plain,
! [X0,X1] : is_a_theorem(strict_implies(possibly(X0),implies(X1,and(X1,necessarily(possibly(X0)))))),
inference(resolution,[],[f70461,f10634]) ).
fof(f72522,plain,
! [X0] : is_a_theorem(strict_implies(possibly(X0),and(possibly(X0),necessarily(possibly(X0))))),
inference(superposition,[],[f70553,f8969]) ).
fof(f72562,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(and(possibly(X0),necessarily(possibly(X0))),possibly(X0)))
| is_a_theorem(strict_equiv(and(possibly(X0),necessarily(possibly(X0))),possibly(X0))) ),
inference(resolution,[],[f72522,f173]) ).
fof(f72590,plain,
! [X0] : is_a_theorem(strict_equiv(and(possibly(X0),necessarily(possibly(X0))),possibly(X0))),
inference(forward_subsumption_resolution,[],[f72562,f130]) ).
fof(f72601,plain,
! [X0] : possibly(X0) = and(possibly(X0),necessarily(possibly(X0))),
inference(resolution,[],[f72590,f133]) ).
fof(f72602,plain,
! [X0] : is_a_theorem(strict_equiv(and(not(necessarily(X0)),necessarily(not(necessarily(X0)))),not(necessarily(X0)))),
inference(superposition,[],[f72590,f6292]) ).
fof(f72620,plain,
! [X0] : is_a_theorem(strict_equiv(and(not(necessarily(X0)),not(possibly(necessarily(X0)))),not(necessarily(X0)))),
inference(forward_demodulation,[],[f72602,f6268]) ).
fof(f72625,plain,
! [X0] : is_a_theorem(strict_equiv(not(or(possibly(necessarily(X0)),necessarily(X0))),not(necessarily(X0)))),
inference(forward_demodulation,[],[f72620,f8617]) ).
fof(f72630,plain,
! [X0] : is_a_theorem(strict_equiv(necessarily(X0),or(possibly(necessarily(X0)),necessarily(X0)))),
inference(forward_demodulation,[],[f72625,f8216]) ).
fof(f72675,plain,
! [X0] : possibly(X0) = and(necessarily(possibly(X0)),possibly(X0)),
inference(superposition,[],[f1505,f72601]) ).
fof(f73461,plain,
! [X0] : necessarily(X0) = or(possibly(necessarily(X0)),necessarily(X0)),
inference(resolution,[],[f72630,f133]) ).
fof(f80371,plain,
! [X0] : is_a_theorem(strict_implies(or(necessarily(possibly(X0)),possibly(X0)),necessarily(possibly(X0)))),
inference(resolution,[],[f65718,f4694]) ).
fof(f80522,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(necessarily(possibly(X0)),or(necessarily(possibly(X0)),possibly(X0))))
| is_a_theorem(strict_equiv(necessarily(possibly(X0)),or(necessarily(possibly(X0)),possibly(X0)))) ),
inference(resolution,[],[f80371,f173]) ).
fof(f80552,plain,
! [X0] : is_a_theorem(strict_equiv(necessarily(possibly(X0)),or(necessarily(possibly(X0)),possibly(X0)))),
inference(forward_subsumption_resolution,[],[f80522,f6368]) ).
fof(f80568,plain,
! [X0] : necessarily(possibly(X0)) = or(necessarily(possibly(X0)),possibly(X0)),
inference(resolution,[],[f80552,f133]) ).
fof(f89827,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| ~ is_a_theorem(strict_implies(X0,X1))
| not(X0) = not(X1) ),
inference(resolution,[],[f6370,f133]) ).
fof(f90118,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,[],[f89827,f6353]) ).
fof(f90250,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,[],[f90118,f6353]) ).
fof(f90397,plain,
! [X0,X1] :
( not(not(X0)) = X1
| ~ is_a_theorem(strict_implies(X1,X0))
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f90250,f6243]) ).
fof(f90469,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X0))
| X0 = X1
| ~ is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f90397,f6243]) ).
fof(f91640,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| implies(X2,X2) = X1
| ~ is_a_theorem(strict_implies(X1,implies(X2,X2))) ),
inference(superposition,[],[f90469,f36108]) ).
fof(f91691,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(implies(X0,X0),X1))
| implies(X2,X2) = X1 ),
inference(forward_subsumption_resolution,[],[f91640,f10044]) ).
fof(f91797,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(X1))
| implies(X0,X0) = X1 ),
inference(resolution,[],[f91691,f6277]) ).
fof(f91807,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X1,X2))
| implies(X1,X2) = implies(X0,X0) ),
inference(resolution,[],[f91691,f5136]) ).
fof(f91810,plain,
! [X2,X0,X1] : implies(X0,X0) = implies(X1,and(X1,implies(X2,X2))),
inference(resolution,[],[f91691,f10634]) ).
fof(f92304,plain,
! [X2,X0,X1] : necessarily(implies(X0,X0)) = strict_implies(X1,and(X1,implies(X2,X2))),
inference(superposition,[],[f124,f91810]) ).
fof(f92484,plain,
! [X2,X0,X1] : strict_implies(X0,X0) = strict_implies(X1,and(X1,implies(X2,X2))),
inference(forward_demodulation,[],[f92304,f124]) ).
fof(f93047,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(strict_implies(X0,X0))
| and(X1,implies(X2,X2)) = X1
| ~ is_a_theorem(strict_implies(and(X1,implies(X2,X2)),X1)) ),
inference(superposition,[],[f90469,f92484]) ).
fof(f93156,plain,
! [X2,X1] :
( and(X1,implies(X2,X2)) = X1
| ~ is_a_theorem(strict_implies(and(X1,implies(X2,X2)),X1)) ),
inference(forward_subsumption_resolution,[],[f93047,f248]) ).
fof(f93305,plain,
! [X2,X1] : and(X1,implies(X2,X2)) = X1,
inference(forward_subsumption_resolution,[],[f93156,f130]) ).
fof(f93494,plain,
! [X0,X1] : not(possibly(X0)) = strict_implies(implies(X1,X1),not(X0)),
inference(superposition,[],[f6570,f93305]) ).
fof(f93534,plain,
! [X0,X1] : not(not(X0)) = implies(implies(X1,X1),X0),
inference(superposition,[],[f302,f93305]) ).
fof(f93537,plain,
! [X0,X1] : strict_implies(not(X0),X0) = strict_implies(implies(X1,X1),X0),
inference(superposition,[],[f2044,f93305]) ).
fof(f93571,plain,
! [X0,X1] : necessarily(X0) = strict_implies(implies(X1,X1),X0),
inference(forward_demodulation,[],[f93537,f6273]) ).
fof(f93574,plain,
! [X0,X1] : implies(implies(X1,X1),X0) = X0,
inference(forward_demodulation,[],[f93534,f6243]) ).
fof(f93662,plain,
! [X2,X0] : implies(implies(possibly(X0),necessarily(possibly(X0))),X2) = X2,
inference(superposition,[],[f93574,f61903]) ).
fof(f94866,plain,
! [X0,X1] : necessarily(X1) = strict_implies(implies(possibly(X0),necessarily(possibly(X0))),X1),
inference(superposition,[],[f93571,f61903]) ).
fof(f95548,plain,
! [X0,X1] : not(possibly(X1)) = strict_implies(not(and(X0,not(X0))),not(X1)),
inference(superposition,[],[f93494,f6299]) ).
fof(f95676,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(not(X0),X1),implies(not(possibly(X0)),strict_implies(implies(X2,X2),X1)))),
inference(superposition,[],[f10632,f93494]) ).
fof(f95687,plain,
! [X0,X1] : is_a_theorem(or(possibly(implies(X1,X1)),not(possibly(X0)))),
inference(superposition,[],[f19193,f93494]) ).
fof(f95700,plain,
! [X0,X1] : is_a_theorem(implies(possibly(X0),possibly(implies(X1,X1)))),
inference(forward_demodulation,[],[f95687,f997]) ).
fof(f95711,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(not(X0),X1),or(possibly(X0),strict_implies(implies(X2,X2),X1)))),
inference(forward_demodulation,[],[f95676,f139]) ).
fof(f95802,plain,
! [X0,X1] : not(possibly(X1)) = strict_implies(X1,and(X0,not(X0))),
inference(forward_demodulation,[],[f95548,f6353]) ).
fof(f95831,plain,
! [X0,X1] : is_a_theorem(strict_implies(strict_implies(not(X0),X1),or(possibly(X0),necessarily(X1)))),
inference(forward_demodulation,[],[f95711,f93571]) ).
fof(f95924,plain,
! [X0,X1] : is_a_theorem(implies(not(necessarily(X0)),possibly(implies(X1,X1)))),
inference(superposition,[],[f95700,f6292]) ).
fof(f95999,plain,
! [X0,X1] : is_a_theorem(or(necessarily(X0),possibly(implies(X1,X1)))),
inference(forward_demodulation,[],[f95924,f139]) ).
fof(f99271,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(and(X1,not(X1)),X2),implies(not(possibly(X0)),strict_implies(X0,X2)))),
inference(superposition,[],[f10632,f95802]) ).
fof(f99480,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(and(X1,not(X1)),X2),or(possibly(X0),strict_implies(X0,X2)))),
inference(forward_demodulation,[],[f99271,f139]) ).
fof(f99705,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(not(X1),implies(X1,X2)),or(possibly(X0),strict_implies(X0,X2)))),
inference(forward_demodulation,[],[f99480,f10127]) ).
fof(f99832,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(X1,or(X1,X2)),or(possibly(X0),strict_implies(X0,X2)))),
inference(forward_demodulation,[],[f99705,f9770]) ).
fof(f99887,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(X1,X1),or(possibly(X0),strict_implies(X0,X2)))),
inference(forward_demodulation,[],[f99832,f22320]) ).
fof(f104775,plain,
! [X0] : is_a_theorem(necessarily(possibly(implies(X0,X0)))),
inference(superposition,[],[f95999,f80568]) ).
fof(f106022,plain,
! [X0] : is_a_theorem(strict_implies(strict_implies(not(necessarily(X0)),X0),necessarily(X0))),
inference(superposition,[],[f95831,f73461]) ).
fof(f106228,plain,
! [X0] :
( ~ is_a_theorem(strict_implies(not(necessarily(X0)),X0))
| is_a_theorem(necessarily(X0)) ),
inference(resolution,[],[f106022,f135]) ).
fof(f108936,plain,
! [X0,X1] :
( is_a_theorem(necessarily(implies(X0,X1)))
| ~ is_a_theorem(strict_implies(not(necessarily(implies(X0,X1))),X1)) ),
inference(resolution,[],[f106228,f7738]) ).
fof(f109070,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(strict_implies(not(necessarily(implies(X0,X1))),X1)) ),
inference(forward_demodulation,[],[f108936,f124]) ).
fof(f109118,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(not(strict_implies(X0,X1)),X1))
| is_a_theorem(strict_implies(X0,X1)) ),
inference(forward_demodulation,[],[f109070,f124]) ).
fof(f109532,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(possibly(and(X0,X1)),not(X1)))
| is_a_theorem(strict_implies(X0,not(X1))) ),
inference(superposition,[],[f109118,f6296]) ).
fof(f109588,plain,
! [X0,X1] :
( ~ is_a_theorem(strict_implies(X1,strict_implies(X1,not(X0))))
| is_a_theorem(strict_implies(X0,not(X1))) ),
inference(forward_demodulation,[],[f109532,f8404]) ).
fof(f134866,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(X2,X2),or(possibly(not(X1)),strict_implies(X0,X1)))),
inference(superposition,[],[f99887,f8968]) ).
fof(f134976,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(X2,X2),or(not(necessarily(X1)),strict_implies(X0,X1)))),
inference(forward_demodulation,[],[f134866,f6292]) ).
fof(f135069,plain,
! [X2,X0,X1] : is_a_theorem(strict_implies(strict_implies(X2,X2),implies(necessarily(X1),strict_implies(X0,X1)))),
inference(forward_demodulation,[],[f134976,f6294]) ).
fof(f142277,plain,
! [X0,X1] : implies(X0,X0) = possibly(implies(X1,X1)),
inference(resolution,[],[f104775,f91797]) ).
fof(f142881,plain,
! [X0,X1] : implies(possibly(X1),necessarily(possibly(X1))) = implies(implies(X0,X0),necessarily(implies(X0,X0))),
inference(superposition,[],[f61961,f142277]) ).
fof(f142924,plain,
! [X0] : implies(X0,X0) = and(necessarily(implies(X0,X0)),implies(X0,X0)),
inference(superposition,[],[f72675,f142277]) ).
fof(f142957,plain,
! [X2,X0] : implies(implies(implies(X0,X0),necessarily(implies(X0,X0))),X2) = X2,
inference(superposition,[],[f93662,f142277]) ).
fof(f143089,plain,
! [X2,X0] : implies(necessarily(implies(X0,X0)),X2) = X2,
inference(forward_demodulation,[],[f142957,f93574]) ).
fof(f143120,plain,
! [X0] : implies(X0,X0) = necessarily(implies(X0,X0)),
inference(forward_demodulation,[],[f142924,f93305]) ).
fof(f143158,plain,
! [X0,X1] : necessarily(implies(X0,X0)) = implies(possibly(X1),necessarily(possibly(X1))),
inference(forward_demodulation,[],[f142881,f93574]) ).
fof(f143342,plain,
! [X2,X0] : implies(strict_implies(X0,X0),X2) = X2,
inference(forward_demodulation,[],[f143089,f124]) ).
fof(f143369,plain,
! [X0] : strict_implies(X0,X0) = implies(X0,X0),
inference(forward_demodulation,[],[f143120,f124]) ).
fof(f143407,plain,
! [X0,X1] : strict_implies(X0,X0) = implies(possibly(X1),necessarily(possibly(X1))),
inference(forward_demodulation,[],[f143158,f124]) ).
fof(f146562,plain,
! [X2,X3,X0] : is_a_theorem(strict_implies(implies(possibly(X0),necessarily(possibly(X0))),implies(necessarily(X2),strict_implies(X3,X2)))),
inference(superposition,[],[f135069,f143407]) ).
fof(f147090,plain,
! [X2,X3] : is_a_theorem(necessarily(implies(necessarily(X2),strict_implies(X3,X2)))),
inference(forward_demodulation,[],[f146562,f94866]) ).
fof(f147225,plain,
! [X2,X3] : is_a_theorem(strict_implies(necessarily(X2),strict_implies(X3,X2))),
inference(forward_demodulation,[],[f147090,f124]) ).
fof(f147888,plain,
! [X0] : is_a_theorem(strict_implies(X0,not(necessarily(not(X0))))),
inference(resolution,[],[f147225,f109588]) ).
fof(f148149,plain,
! [X0] : is_a_theorem(strict_implies(X0,possibly(X0))),
inference(forward_demodulation,[],[f147888,f125]) ).
fof(f148183,plain,
! [X0,X1] : implies(X1,X1) = implies(X0,possibly(X0)),
inference(resolution,[],[f148149,f91807]) ).
fof(f148292,plain,
! [X0,X1] : strict_implies(X1,X1) = implies(X0,possibly(X0)),
inference(forward_demodulation,[],[f148183,f143369]) ).
fof(f148968,plain,
( ! [X0,X1] : is_a_theorem(implies(strict_implies(X0,X0),implies(X1,necessarily(possibly(X1)))))
| ~ spl1_7 ),
inference(superposition,[],[f57588,f148292]) ).
fof(f149205,plain,
( ! [X1] : is_a_theorem(implies(X1,necessarily(possibly(X1))))
| ~ spl1_7 ),
inference(forward_demodulation,[],[f148968,f143342]) ).
fof(f152829,plain,
( $false
| ~ spl1_7 ),
inference(resolution,[],[f149205,f132]) ).
fof(f152858,plain,
~ spl1_7,
inference(avatar_contradiction_clause,[],[f152829]) ).
cnf(s7,plain,
( spl1_1
| spl1_7 ),
inference(sat_conversion,[],[f5688]) ).
cnf(s67,plain,
~ spl1_1,
inference(sat_conversion,[],[f12801]) ).
cnf(s330,plain,
~ spl1_7,
inference(sat_conversion,[],[f152858]) ).
cnf(s336,plain,
$false,
inference(rat,[],[s7,s330,s67]) ).
fof(f152884,plain,
$false,
inference(avatar_sat_refutation,[],[s336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL575+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 16:07:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.31/2.18 % (1820688)Detected formulas, will run a generic FOF schedule.
% 9.31/2.18 % (1820697)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=580120738:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.31/2.18 % (1820697)Refutation not found, incomplete strategy
% 9.31/2.18 % (1820697)------------------------------
% 9.31/2.18 % (1820697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.31/2.18 % (1820697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.31/2.18 % (1820697)CaDiCaL version: 2.1.3
% 9.31/2.18 % (1820697)Termination reason: Refutation not found, incomplete strategy
% 9.31/2.18 % (1820697)Time elapsed: 0.0000 s
% 9.31/2.18 % (1820697)Peak memory usage: 87 MB
% 9.31/2.18 % (1820698)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=301054688:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.31/2.18 % (1820696)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2555713663:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.31/2.18 % (1820694)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=2724047149:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.31/2.18 % (1820695)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=676295347:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.31/2.18 % (1820693)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=2016178259:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.31/2.18 % (1820696)Refutation not found, incomplete strategy
% 9.31/2.18 % (1820696)------------------------------
% 9.31/2.18 % (1820696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.31/2.18 % (1820696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.31/2.18 % (1820696)CaDiCaL version: 2.1.3
% 9.31/2.18 % (1820696)Termination reason: Refutation not found, incomplete strategy
% 9.31/2.18 % (1820696)Time elapsed: 0.0000 s
% 9.31/2.18 % (1820696)Peak memory usage: 87 MB
% 9.31/2.18 % (1820699)dis-21_1_sil=8000:lcm=predicate:random_seed=1326171065: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)
% 9.31/2.18 % (1820699)Refutation not found, incomplete strategy
% 9.31/2.18 % (1820699)------------------------------
% 9.31/2.18 % (1820699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.31/2.18 % (1820699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.31/2.18 % (1820699)CaDiCaL version: 2.1.3
% 9.31/2.18 % (1820699)Termination reason: Refutation not found, incomplete strategy
% 9.31/2.18 % (1820699)Time elapsed: 0.002 s
% 9.31/2.18 % (1820699)Peak memory usage: 88 MB
% 9.31/2.18 % (1820699)Instructions burned: 1 (million)
% 9.31/2.18 % (1820698)Instruction limit reached!
% 9.31/2.18 % (1820698)------------------------------
% 9.31/2.18 % (1820698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.31/2.18 % (1820698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.31/2.18 % (1820698)CaDiCaL version: 2.1.3
% 9.31/2.18 % (1820698)Termination reason: Instruction limit
% 9.31/2.18 % (1820698)Termination phase: Saturation
% 9.31/2.18 % (1820698)Time elapsed: 0.093 s
% 9.31/2.18 % (1820698)Peak memory usage: 91 MB
% 9.31/2.18 % (1820698)Instructions burned: 140 (million)
% 9.31/2.18 % (1820697)------------------------------
% 9.31/2.18 % (1820697)------------------------------
% 9.31/2.18 % (1820708)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2155436531:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.31/2.18 % (1820708)Refutation not found, incomplete strategy
% 9.31/2.18 % (1820708)------------------------------
% 9.31/2.18 % (1820708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.31/2.18 % (1820708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.31/2.18 % (1820708)CaDiCaL version: 2.1.3
% 9.31/2.18 % (1820708)Termination reason: Refutation not found, incomplete strategy
% 9.31/2.18 % (1820708)Time elapsed: 0.0000 s
% 9.31/2.18 % (1820708)Peak memory usage: 87 MB
% 9.31/2.18 % (1820707)lrs+10_1_sil=8000:sp=occurrence:random_seed=1998530747:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.79/2.74 % (1820707)Refutation not found, incomplete strategy
% 12.79/2.74 % (1820707)------------------------------
% 12.79/2.74 % (1820707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.74 % (1820707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.74 % (1820707)CaDiCaL version: 2.1.3
% 12.79/2.74 % (1820707)Termination reason: Refutation not found, incomplete strategy
% 12.79/2.74 % (1820707)Time elapsed: 0.001 s
% 12.79/2.74 % (1820707)Peak memory usage: 87 MB
% 12.79/2.74 % (1820696)------------------------------
% 12.79/2.74 % (1820696)------------------------------
% 12.79/2.74 % (1820699)------------------------------
% 12.79/2.74 % (1820699)------------------------------
% 12.79/2.74 % (1820708)------------------------------
% 12.79/2.74 % (1820708)------------------------------
% 12.79/2.74 % (1820711)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1312103374:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.79/2.74 % (1820711)Refutation not found, incomplete strategy
% 12.79/2.74 % (1820711)------------------------------
% 12.79/2.74 % (1820711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.74 % (1820711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.74 % (1820711)CaDiCaL version: 2.1.3
% 12.79/2.74 % (1820711)Termination reason: Refutation not found, incomplete strategy
% 12.79/2.74 % (1820711)Time elapsed: 0.001 s
% 12.79/2.74 % (1820711)Peak memory usage: 87 MB
% 12.79/2.74 % (1820712)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=486516285:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.79/2.74 % (1820713)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2660184879:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 12.79/2.74 % (1820713)Refutation not found, incomplete strategy
% 12.79/2.74 % (1820713)------------------------------
% 12.79/2.74 % (1820713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.74 % (1820713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.74 % (1820713)CaDiCaL version: 2.1.3
% 12.79/2.74 % (1820713)Termination reason: Refutation not found, incomplete strategy
% 12.79/2.74 % (1820713)Time elapsed: 0.0000 s
% 12.79/2.74 % (1820713)Peak memory usage: 87 MB
% 12.79/2.74 % (1820707)------------------------------
% 12.79/2.74 % (1820707)------------------------------
% 12.79/2.74 % (1820712)Instruction limit reached!
% 12.79/2.74 % (1820712)------------------------------
% 12.79/2.74 % (1820712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.74 % (1820712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.74 % (1820712)CaDiCaL version: 2.1.3
% 12.79/2.74 % (1820712)Termination reason: Instruction limit
% 12.79/2.74 % (1820712)Termination phase: Saturation
% 12.79/2.74 % (1820712)Time elapsed: 0.146 s
% 12.79/2.74 % (1820712)Peak memory usage: 92 MB
% 12.79/2.74 % (1820712)Instructions burned: 248 (million)
% 12.79/2.74 % (1820695)Refutation not found, incomplete strategy
% 12.79/2.74 % (1820695)------------------------------
% 12.79/2.74 % (1820695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.74 % (1820695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.74 % (1820695)CaDiCaL version: 2.1.3
% 12.79/2.74 % (1820695)Termination reason: Refutation not found, incomplete strategy
% 12.79/2.74 % (1820695)Time elapsed: 0.559 s
% 12.79/2.74 % (1820695)Peak memory usage: 125 MB
% 12.79/2.74 % (1820695)Instructions burned: 828 (million)
% 12.79/2.74 % (1820713)------------------------------
% 12.79/2.74 % (1820713)------------------------------
% 12.79/2.74 % (1820717)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3983384051:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.79/2.74 % (1820711)------------------------------
% 12.79/2.74 % (1820711)------------------------------
% 12.79/2.74 % (1820718)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1370412247:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.79/2.74 % (1820718)Refutation not found, incomplete strategy
% 12.79/2.74 % (1820718)------------------------------
% 12.79/2.74 % (1820718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.74 % (1820718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/3.07 % (1820718)CaDiCaL version: 2.1.3
% 15.75/3.07 % (1820718)Termination reason: Refutation not found, incomplete strategy
% 15.75/3.07 % (1820718)Time elapsed: 0.001 s
% 15.75/3.07 % (1820718)Peak memory usage: 88 MB
% 15.75/3.07 % (1820719)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=368561140:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 15.75/3.07 % (1820719)Instruction limit reached!
% 15.75/3.07 % (1820719)------------------------------
% 15.75/3.07 % (1820719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.75/3.07 % (1820719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/3.07 % (1820719)CaDiCaL version: 2.1.3
% 15.75/3.07 % (1820719)Termination reason: Instruction limit
% 15.75/3.07 % (1820719)Termination phase: Saturation
% 15.75/3.07 % (1820719)Time elapsed: 0.038 s
% 15.75/3.07 % (1820719)Peak memory usage: 89 MB
% 15.75/3.07 % (1820719)Instructions burned: 131 (million)
% 15.75/3.07 % (1820721)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3424047982:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 15.75/3.07 % (1820721)Refutation not found, incomplete strategy
% 15.75/3.07 % (1820721)------------------------------
% 15.75/3.07 % (1820721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.75/3.07 % (1820721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/3.07 % (1820721)CaDiCaL version: 2.1.3
% 15.75/3.07 % (1820721)Termination reason: Refutation not found, incomplete strategy
% 15.75/3.07 % (1820721)Time elapsed: 0.001 s
% 15.75/3.07 % (1820721)Peak memory usage: 88 MB
% 15.75/3.07 % (1820721)Instructions burned: 1 (million)
% 15.75/3.07 % (1820724)lrs+10_1_sil=8000:sp=occurrence:random_seed=176022689:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 15.75/3.07 % (1820695)------------------------------
% 15.75/3.07 % (1820695)------------------------------
% 15.75/3.07 % (1820718)------------------------------
% 15.75/3.07 % (1820718)------------------------------
% 15.75/3.07 % (1820727)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1232969045:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 15.75/3.07 % (1820727)Refutation not found, incomplete strategy
% 15.75/3.07 % (1820727)------------------------------
% 15.75/3.07 % (1820727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.75/3.07 % (1820727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/3.07 % (1820727)CaDiCaL version: 2.1.3
% 15.75/3.07 % (1820727)Termination reason: Refutation not found, incomplete strategy
% 15.75/3.07 % (1820727)Time elapsed: 0.001 s
% 15.75/3.07 % (1820727)Peak memory usage: 88 MB
% 15.75/3.07 % (1820721)------------------------------
% 15.75/3.07 % (1820721)------------------------------
% 15.75/3.07 % (1820728)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2311803869:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 15.75/3.07 % (1820724)Instruction limit reached!
% 15.75/3.07 % (1820724)------------------------------
% 15.75/3.07 % (1820724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.75/3.07 % (1820724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/3.07 % (1820724)CaDiCaL version: 2.1.3
% 15.75/3.07 % (1820724)Termination reason: Instruction limit
% 15.75/3.07 % (1820724)Termination phase: Saturation
% 15.75/3.07 % (1820724)Time elapsed: 0.278 s
% 15.75/3.07 % (1820724)Peak memory usage: 101 MB
% 15.75/3.07 % (1820724)Instructions burned: 909 (million)
% 15.75/3.07 % (1820730)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2652524410:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 15.75/3.07 % (1820730)Refutation not found, incomplete strategy
% 15.75/3.07 % (1820730)------------------------------
% 15.75/3.07 % (1820730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.75/3.07 % (1820730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/3.07 % (1820730)CaDiCaL version: 2.1.3
% 15.75/3.07 % (1820730)Termination reason: Refutation not found, incomplete strategy
% 15.75/3.07 % (1820730)Time elapsed: 0.001 s
% 15.75/3.07 % (1820730)Peak memory usage: 89 MB
% 15.75/3.07 % (1820732)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2103379967:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 20.02/3.86 % (1820732)Refutation not found, incomplete strategy
% 20.02/3.86 % (1820732)------------------------------
% 20.02/3.86 % (1820732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.86 % (1820732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.86 % (1820732)CaDiCaL version: 2.1.3
% 20.02/3.86 % (1820732)Termination reason: Refutation not found, incomplete strategy
% 20.02/3.86 % (1820732)Time elapsed: 0.001 s
% 20.02/3.86 % (1820732)Peak memory usage: 88 MB
% 20.02/3.86 % (1820727)------------------------------
% 20.02/3.86 % (1820727)------------------------------
% 20.02/3.86 % (1820732)------------------------------
% 20.02/3.86 % (1820732)------------------------------
% 20.02/3.86 % (1820735)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3718961059:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 20.02/3.86 % (1820730)------------------------------
% 20.02/3.86 % (1820730)------------------------------
% 20.02/3.86 % (1820736)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=2077807268:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 20.02/3.86 % (1820736)Refutation not found, incomplete strategy
% 20.02/3.86 % (1820736)------------------------------
% 20.02/3.86 % (1820736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.86 % (1820736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.86 % (1820736)CaDiCaL version: 2.1.3
% 20.02/3.86 % (1820736)Termination reason: Refutation not found, incomplete strategy
% 20.02/3.86 % (1820736)Time elapsed: 0.0000 s
% 20.02/3.86 % (1820736)Peak memory usage: 87 MB
% 20.02/3.86 % (1820738)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=207292848:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 20.02/3.86 % (1820736)------------------------------
% 20.02/3.86 % (1820736)------------------------------
% 20.02/3.86 % (1820738)Instruction limit reached!
% 20.02/3.86 % (1820738)------------------------------
% 20.02/3.86 % (1820738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.86 % (1820738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.86 % (1820738)CaDiCaL version: 2.1.3
% 20.02/3.86 % (1820738)Termination reason: Instruction limit
% 20.02/3.86 % (1820738)Termination phase: Saturation
% 20.02/3.86 % (1820738)Time elapsed: 0.081 s
% 20.02/3.86 % (1820738)Peak memory usage: 90 MB
% 20.02/3.86 % (1820738)Instructions burned: 135 (million)
% 20.02/3.86 % (1820741)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2427817148:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 20.02/3.86 % (1820741)Refutation not found, incomplete strategy
% 20.02/3.86 % (1820741)------------------------------
% 20.02/3.86 % (1820741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.86 % (1820741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.86 % (1820741)CaDiCaL version: 2.1.3
% 20.02/3.86 % (1820741)Termination reason: Refutation not found, incomplete strategy
% 20.02/3.86 % (1820741)Time elapsed: 0.001 s
% 20.02/3.86 % (1820741)Peak memory usage: 87 MB
% 20.02/3.86 [W927 16:07:48.474727506 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 20.02/3.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.02/3.86 [W927 16:07:48.474775186 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 20.02/3.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.02/3.86 [W927 16:07:48.474814583 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 20.02/3.86 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.02/3.86 [W927 16:07:48.474827530 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 38.69/6.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.69/6.31 [W927 16:07:48.474853903 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 38.69/6.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.69/6.31 [W927 16:07:48.474864146 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 38.69/6.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.69/6.31 [W927 16:07:48.474889123 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 38.69/6.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.69/6.31 [W927 16:07:48.474899117 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 38.69/6.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.69/6.31 [W927 16:07:48.474923280 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 38.69/6.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.69/6.31 [W927 16:07:48.474939007 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 38.69/6.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.69/6.31 [W927 16:07:48.474964977 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 38.69/6.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.69/6.31 [W927 16:07:48.474974934 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 38.69/6.31 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 38.69/6.31 % (1820742)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3063785726:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 38.69/6.31 % (1820742)Refutation not found, incomplete strategy
% 38.69/6.31 % (1820742)------------------------------
% 38.69/6.31 % (1820742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.69/6.31 % (1820742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/6.31 % (1820742)CaDiCaL version: 2.1.3
% 38.69/6.31 % (1820742)Termination reason: Refutation not found, incomplete strategy
% 38.69/6.31 % (1820742)Time elapsed: 0.001 s
% 38.69/6.31 % (1820742)Peak memory usage: 87 MB
% 38.69/6.31 % (1820735)Refutation not found, incomplete strategy
% 38.69/6.31 % (1820735)------------------------------
% 38.69/6.31 % (1820735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.69/6.31 % (1820735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.69/6.31 % (1820735)CaDiCaL version: 2.1.3
% 38.69/6.31 % (1820735)Termination reason: Refutation not found, incomplete strategy
% 38.69/6.31 % (1820735)Time elapsed: 0.552 s
% 38.69/6.31 % (1820735)Peak memory usage: 125 MB
% 38.69/6.31 % (1820735)Instructions burned: 825 (million)
% 38.69/6.31 % (1820741)------------------------------
% 38.69/6.31 % (1820741)------------------------------
% 38.69/6.31 % (1820742)------------------------------
% 38.69/6.31 % (1820742)------------------------------
% 38.69/6.31 % (1820745)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=3587726712:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 40.52/6.69 % (1820717)Instruction limit reached!
% 40.52/6.69 % (1820717)------------------------------
% 40.52/6.69 % (1820717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.52/6.69 % (1820717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.52/6.69 % (1820717)CaDiCaL version: 2.1.3
% 40.52/6.69 % (1820717)Termination reason: Instruction limit
% 40.52/6.69 % (1820717)Termination phase: Saturation
% 40.52/6.69 % (1820717)Time elapsed: 1.505 s
% 40.52/6.69 % (1820717)Peak memory usage: 142 MB
% 40.52/6.69 % (1820717)Instructions burned: 2351 (million)
% 40.52/6.69 % (1820746)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=609026720:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 40.52/6.69 % (1820735)------------------------------
% 40.52/6.69 % (1820735)------------------------------
% 40.52/6.69 % (1820746)Instruction limit reached!
% 40.52/6.69 % (1820746)------------------------------
% 40.52/6.69 % (1820746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.52/6.69 % (1820746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.52/6.69 % (1820746)CaDiCaL version: 2.1.3
% 40.52/6.69 % (1820746)Termination reason: Instruction limit
% 40.52/6.69 % (1820746)Termination phase: Saturation
% 40.52/6.69 % (1820746)Time elapsed: 0.094 s
% 40.52/6.69 % (1820746)Peak memory usage: 91 MB
% 40.52/6.69 % (1820746)Instructions burned: 150 (million)
% 40.52/6.69 % (1820748)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=602556313:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 40.52/6.69 % (1820750)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2369823843:i=667:av=off:fsr=off_2976 on theBenchmark for (2976ds/667Mi)
% 40.52/6.69 % (1820750)Refutation not found, incomplete strategy
% 40.52/6.69 % (1820750)------------------------------
% 40.52/6.69 % (1820750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.52/6.69 % (1820750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.52/6.69 % (1820750)CaDiCaL version: 2.1.3
% 40.52/6.69 % (1820750)Termination reason: Refutation not found, incomplete strategy
% 40.52/6.69 % (1820750)Time elapsed: 0.001 s
% 40.52/6.69 % (1820750)Peak memory usage: 88 MB
% 40.52/6.69 % (1820750)Instructions burned: 1 (million)
% 40.52/6.69 % (1820752)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=2475100064:s2a=on:i=185:s2at=1.8:fdi=4_2976 on theBenchmark for (2976ds/185Mi)
% 40.52/6.69 % (1820752)Instruction limit reached!
% 40.52/6.69 % (1820752)------------------------------
% 40.52/6.69 % (1820752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.52/6.69 % (1820752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.52/6.69 % (1820752)CaDiCaL version: 2.1.3
% 40.52/6.69 % (1820752)Termination reason: Instruction limit
% 40.52/6.69 % (1820752)Termination phase: Saturation
% 40.52/6.69 % (1820752)Time elapsed: 0.112 s
% 40.52/6.69 % (1820752)Peak memory usage: 90 MB
% 40.52/6.69 % (1820752)Instructions burned: 185 (million)
% 40.52/6.69 % (1820750)------------------------------
% 40.52/6.69 % (1820750)------------------------------
% 40.52/6.69 % (1820755)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1966720699:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2973 on theBenchmark for (2973ds/193Mi)
% 40.52/6.69 % (1820755)Refutation not found, incomplete strategy
% 40.52/6.69 % (1820755)------------------------------
% 40.52/6.69 % (1820755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.52/6.69 % (1820755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.52/6.69 % (1820755)CaDiCaL version: 2.1.3
% 40.52/6.69 % (1820755)Termination reason: Refutation not found, incomplete strategy
% 40.52/6.69 % (1820755)Time elapsed: 0.001 s
% 40.52/6.69 % (1820755)Peak memory usage: 87 MB
% 40.52/6.69 % (1820756)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4080793557:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2973 on theBenchmark for (2973ds/4850Mi)
% 40.52/6.69 % (1820755)------------------------------
% 47.54/7.61 % (1820755)------------------------------
% 47.54/7.61 % (1820759)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2825735325:i=12111:sd=1:ss=included_2969 on theBenchmark for (2969ds/12111Mi)
% 47.54/7.61 % (1820728)Instruction limit reached!
% 47.54/7.61 % (1820728)------------------------------
% 47.54/7.61 % (1820728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.54/7.61 % (1820728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.54/7.61 % (1820728)CaDiCaL version: 2.1.3
% 47.54/7.61 % (1820728)Termination reason: Instruction limit
% 47.54/7.61 % (1820728)Termination phase: Saturation
% 47.54/7.61 % (1820728)Time elapsed: 2.022 s
% 47.54/7.61 % (1820728)Peak memory usage: 162 MB
% 47.54/7.61 % (1820728)Instructions burned: 5205 (million)
% 47.54/7.61 % (1820761)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3976629373:i=319:kws=precedence:fsr=off_2967 on theBenchmark for (2967ds/319Mi)
% 47.54/7.61 % (1820761)Instruction limit reached!
% 47.54/7.61 % (1820761)------------------------------
% 47.54/7.61 % (1820761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.54/7.61 % (1820761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.54/7.61 % (1820761)CaDiCaL version: 2.1.3
% 47.54/7.61 % (1820761)Termination reason: Instruction limit
% 47.54/7.61 % (1820761)Termination phase: Saturation
% 47.54/7.61 % (1820761)Time elapsed: 0.113 s
% 47.54/7.61 % (1820761)Peak memory usage: 94 MB
% 47.54/7.61 % (1820761)Instructions burned: 319 (million)
% 47.54/7.61 % (1820763)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=869078116:i=2064:ep=RST_2965 on theBenchmark for (2965ds/2064Mi)
% 47.54/7.61 % (1820763)Refutation not found, incomplete strategy
% 47.54/7.61 % (1820763)------------------------------
% 47.54/7.61 % (1820763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.54/7.61 % (1820763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.54/7.61 % (1820763)CaDiCaL version: 2.1.3
% 47.54/7.61 % (1820763)Termination reason: Refutation not found, incomplete strategy
% 47.54/7.61 % (1820763)Time elapsed: 0.001 s
% 47.54/7.61 % (1820763)Peak memory usage: 88 MB
% 47.54/7.61 % (1820763)Instructions burned: 1 (million)
% 47.54/7.61 % (1820763)------------------------------
% 47.54/7.61 % (1820763)------------------------------
% 47.54/7.61 % (1820765)dis-1011_128_sil=32000:random_seed=4218977911:i=3706:ep=RST:av=off_2963 on theBenchmark for (2963ds/3706Mi)
% 47.54/7.61 % (1820765)Instruction limit reached!
% 47.54/7.61 % (1820765)------------------------------
% 47.54/7.61 % (1820765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.54/7.61 % (1820765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.54/7.61 % (1820765)CaDiCaL version: 2.1.3
% 47.54/7.61 % (1820765)Termination reason: Instruction limit
% 47.54/7.61 % (1820765)Termination phase: Saturation
% 47.54/7.61 % (1820765)Time elapsed: 1.173 s
% 47.54/7.61 % (1820765)Peak memory usage: 121 MB
% 47.54/7.61 % (1820765)Instructions burned: 3709 (million)
% 47.54/7.61 % (1820767)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1657963159:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2950 on theBenchmark for (2950ds/757Mi)
% 47.54/7.61 % (1820767)Refutation not found, incomplete strategy
% 47.54/7.61 % (1820767)------------------------------
% 47.54/7.61 % (1820767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.54/7.61 % (1820767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.54/7.61 % (1820767)CaDiCaL version: 2.1.3
% 47.54/7.61 % (1820767)Termination reason: Refutation not found, incomplete strategy
% 47.54/7.61 % (1820767)Time elapsed: 0.0000 s
% 47.54/7.61 % (1820767)Peak memory usage: 87 MB
% 47.54/7.61 % (1820767)------------------------------
% 47.54/7.61 % (1820767)------------------------------
% 47.54/7.61 % (1820769)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1507109922:i=13913:ss=axioms:sgt=8_2948 on theBenchmark for (2948ds/13913Mi)
% 47.54/7.61 [W927 16:07:52.041631687 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 47.54/7.61 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 47.54/7.61 [W927 16:07:52.041651813 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041672703 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041685033 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041698329 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041703915 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041716918 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041722318 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041734814 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041740272 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041753088 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:52.041758622 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 % (1820769)Refutation not found, incomplete strategy
% 43.17/7.90 % (1820769)------------------------------
% 43.17/7.90 % (1820769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.17/7.90 % (1820769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.17/7.90 % (1820769)CaDiCaL version: 2.1.3
% 43.17/7.90 % (1820769)Termination reason: Refutation not found, incomplete strategy
% 43.17/7.90 % (1820769)Time elapsed: 0.313 s
% 43.17/7.90 % (1820769)Peak memory usage: 126 MB
% 43.17/7.90 % (1820769)Instructions burned: 827 (million)
% 43.17/7.90 % (1820769)------------------------------
% 43.17/7.90 % (1820769)------------------------------
% 43.17/7.90 % (1820771)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1261869854:i=9925:aac=none_2942 on theBenchmark for (2942ds/9925Mi)
% 43.17/7.90 % (1820756)Instruction limit reached!
% 43.17/7.90 % (1820756)------------------------------
% 43.17/7.90 % (1820756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.17/7.90 % (1820756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.17/7.90 % (1820756)CaDiCaL version: 2.1.3
% 43.17/7.90 % (1820756)Termination reason: Instruction limit
% 43.17/7.90 % (1820756)Termination phase: Saturation
% 43.17/7.90 % (1820756)Time elapsed: 3.026 s
% 43.17/7.90 % (1820756)Peak memory usage: 142 MB
% 43.17/7.90 % (1820756)Instructions burned: 4851 (million)
% 43.17/7.90 % (1820773)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2492720609:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2941 on theBenchmark for (2941ds/2479Mi)
% 43.17/7.90 % (1820773)Refutation not found, incomplete strategy
% 43.17/7.90 % (1820773)------------------------------
% 43.17/7.90 % (1820773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.17/7.90 % (1820773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.17/7.90 % (1820773)CaDiCaL version: 2.1.3
% 43.17/7.90 % (1820773)Termination reason: Refutation not found, incomplete strategy
% 43.17/7.90 % (1820773)Time elapsed: 0.001 s
% 43.17/7.90 % (1820773)Peak memory usage: 87 MB
% 43.17/7.90 % (1820745)Instruction limit reached!
% 43.17/7.90 % (1820745)------------------------------
% 43.17/7.90 % (1820745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.17/7.90 % (1820745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.17/7.90 % (1820745)CaDiCaL version: 2.1.3
% 43.17/7.90 % (1820745)Termination reason: Instruction limit
% 43.17/7.90 % (1820745)Termination phase: Saturation
% 43.17/7.90 % (1820745)Time elapsed: 4.011 s
% 43.17/7.90 % (1820745)Peak memory usage: 169 MB
% 43.17/7.90 % (1820745)Instructions burned: 6061 (million)
% 43.17/7.90 % (1820773)------------------------------
% 43.17/7.90 % (1820773)------------------------------
% 43.17/7.90 % (1820775)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1788584250:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2937 on theBenchmark for (2937ds/440Mi)
% 43.17/7.90 % (1820776)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=4246214090:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2937 on theBenchmark for (2937ds/11145Mi)
% 43.17/7.90 % (1820775)Instruction limit reached!
% 43.17/7.90 % (1820775)------------------------------
% 43.17/7.90 % (1820775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.17/7.90 % (1820775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.17/7.90 % (1820775)CaDiCaL version: 2.1.3
% 43.17/7.90 % (1820775)Termination reason: Instruction limit
% 43.17/7.90 % (1820775)Termination phase: Saturation
% 43.17/7.90 % (1820775)Time elapsed: 0.223 s
% 43.17/7.90 % (1820775)Peak memory usage: 94 MB
% 43.17/7.90 % (1820775)Instructions burned: 440 (million)
% 43.17/7.90 % (1820779)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=2739910930:cts=off:i=3034:av=off:er=known:fsd=on_2934 on theBenchmark for (2934ds/3034Mi)
% 43.17/7.90 % (1820693)First to succeed.
% 43.17/7.90 % (1820693)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1820688"
% 43.17/7.90 [W927 16:07:53.345964994 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.345997697 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346045128 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346058801 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346084801 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346095025 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346118672 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346128628 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346152958 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346162979 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346187349 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 [W927 16:07:53.346197552 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 43.17/7.90 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 43.17/7.90 % (1820776)Refutation not found, incomplete strategy
% 43.17/7.90 % (1820776)------------------------------
% 43.17/7.90 % (1820776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.17/7.90 % (1820776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.17/7.90 % (1820776)CaDiCaL version: 2.1.3
% 43.17/7.90 % (1820776)Termination reason: Refutation not found, incomplete strategy
% 43.17/7.90 % (1820776)Time elapsed: 0.547 s
% 43.17/7.90 % (1820776)Peak memory usage: 125 MB
% 43.17/7.90 % (1820776)Instructions burned: 828 (million)
% 43.17/7.90 % (1820693)Refutation found. Thanks to Tanya!
% 43.17/7.90 % SZS status Theorem for theBenchmark
% 43.17/7.90 % SZS output start Proof for theBenchmark
% See solution above
% 50.41/8.10 % (1820693)------------------------------
% 50.41/8.10 % (1820693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.41/8.10 % (1820693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.41/8.10 % (1820693)CaDiCaL version: 2.1.3
% 50.41/8.10 % (1820693)Termination reason: Refutation
% 50.41/8.10 % (1820693)Time elapsed: 6.595 s
% 50.41/8.10 % (1820693)Peak memory usage: 216 MB
% 50.41/8.10 % (1820693)Instructions burned: 10680 (million)
% 50.41/8.10 % (1820693)------------------------------
% 50.41/8.10 % (1820693)------------------------------
% 50.41/8.10 % (1820688)Success in time 7.049 s
% 50.41/8.10 % Vampire exiting
%------------------------------------------------------------------------------