%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL523+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:51 AM UTC 2026
% Result : Theorem 18.38s 3.64s
% Output : Refutation 19.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 36
% Syntax : Number of formulae : 192 ( 91 unt; 0 def)
% Number of atoms : 313 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 208 ( 87 ~; 82 |; 2 &)
% ( 15 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 19 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 258 ( 257 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f3,axiom,
( modus_tollens
<=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_tollens) ).
fof(f4,axiom,
( implies_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_1) ).
fof(f5,axiom,
( implies_2
<=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_2) ).
fof(f6,axiom,
( implies_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_3) ).
fof(f7,axiom,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1) ).
fof(f8,axiom,
( and_2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_2) ).
fof(f9,axiom,
( and_3
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_3) ).
fof(f12,axiom,
( or_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_3) ).
fof(f14,axiom,
( equivalence_2
<=> ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence_2) ).
fof(f15,axiom,
( equivalence_3
<=> ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence_3) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).
fof(f32,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_ponens) ).
fof(f36,axiom,
modus_tollens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_tollens) ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_1) ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_2) ).
fof(f39,axiom,
implies_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_3) ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(f41,axiom,
and_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_2) ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_3) ).
fof(f45,axiom,
or_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_3) ).
fof(f47,axiom,
equivalence_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_equivalence_2) ).
fof(f48,axiom,
equivalence_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_equivalence_3) ).
fof(f49,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f55,axiom,
( axiom_M
<=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_M) ).
fof(f56,axiom,
( axiom_4
<=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f58,axiom,
( axiom_5
<=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f73,axiom,
( op_possibly
=> ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_possibly) ).
fof(f77,axiom,
op_possibly,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km5_op_possibly) ).
fof(f80,axiom,
axiom_M,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km5_axiom_M) ).
fof(f81,axiom,
axiom_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km5_axiom_5) ).
fof(f82,conjecture,
axiom_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_4) ).
fof(f83,negated_conjecture,
~ axiom_4,
inference(negated_conjecture,[status(cth)],[f82]) ).
fof(f84,plain,
~ axiom_4,
inference(flattening,[],[f83]) ).
fof(f85,plain,
( axiom_5
=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(unused_predicate_definition_removal,[],[f58]) ).
fof(f86,plain,
( ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
=> axiom_4 ),
inference(unused_predicate_definition_removal,[],[f56]) ).
fof(f87,plain,
( axiom_M
=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f55]) ).
fof(f90,plain,
( equivalence_3
=> ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f91,plain,
( equivalence_2
=> ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f93,plain,
( or_3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f96,plain,
( and_3
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f97,plain,
( and_2
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f98,plain,
( and_1
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f99,plain,
( implies_3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f100,plain,
( implies_2
=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f101,plain,
( implies_1
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f102,plain,
( modus_tollens
=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f103,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f104,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f110,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f104]) ).
fof(f111,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f103]) ).
fof(f113,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
| ~ modus_tollens ),
inference(ennf_transformation,[],[f102]) ).
fof(f114,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(ennf_transformation,[],[f101]) ).
fof(f115,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(ennf_transformation,[],[f100]) ).
fof(f116,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ implies_3 ),
inference(ennf_transformation,[],[f99]) ).
fof(f117,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(ennf_transformation,[],[f98]) ).
fof(f118,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(ennf_transformation,[],[f97]) ).
fof(f119,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(ennf_transformation,[],[f96]) ).
fof(f122,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(ennf_transformation,[],[f93]) ).
fof(f124,plain,
( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| ~ equivalence_2 ),
inference(ennf_transformation,[],[f91]) ).
fof(f125,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
| ~ equivalence_3 ),
inference(ennf_transformation,[],[f90]) ).
fof(f126,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f127,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f131,plain,
( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(ennf_transformation,[],[f87]) ).
fof(f132,plain,
( axiom_4
| ? [X0] : ~ is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
inference(ennf_transformation,[],[f86]) ).
fof(f133,plain,
( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_5 ),
inference(ennf_transformation,[],[f85]) ).
fof(f134,plain,
( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(ennf_transformation,[],[f73]) ).
fof(f135,plain,
( axiom_4
| ~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f132]) ).
fof(f136,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f111]) ).
fof(f137,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f112]) ).
fof(f138,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
| ~ modus_tollens ),
inference(cnf_transformation,[],[f113]) ).
fof(f139,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f140,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[],[f115]) ).
fof(f141,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ implies_3 ),
inference(cnf_transformation,[],[f116]) ).
fof(f142,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[],[f117]) ).
fof(f143,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[],[f118]) ).
fof(f144,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[],[f119]) ).
fof(f147,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(cnf_transformation,[],[f122]) ).
fof(f149,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| ~ equivalence_2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f150,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
| ~ equivalence_3 ),
inference(cnf_transformation,[],[f125]) ).
fof(f151,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f126]) ).
fof(f152,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f127]) ).
fof(f154,plain,
op_or,
inference(cnf_transformation,[],[f32]) ).
fof(f155,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f157,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f158,plain,
modus_tollens,
inference(cnf_transformation,[],[f36]) ).
fof(f159,plain,
implies_1,
inference(cnf_transformation,[],[f37]) ).
fof(f160,plain,
implies_2,
inference(cnf_transformation,[],[f38]) ).
fof(f161,plain,
implies_3,
inference(cnf_transformation,[],[f39]) ).
fof(f162,plain,
and_1,
inference(cnf_transformation,[],[f40]) ).
fof(f163,plain,
and_2,
inference(cnf_transformation,[],[f41]) ).
fof(f164,plain,
and_3,
inference(cnf_transformation,[],[f42]) ).
fof(f167,plain,
or_3,
inference(cnf_transformation,[],[f45]) ).
fof(f169,plain,
equivalence_2,
inference(cnf_transformation,[],[f47]) ).
fof(f170,plain,
equivalence_3,
inference(cnf_transformation,[],[f48]) ).
fof(f171,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f49]) ).
fof(f174,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(cnf_transformation,[],[f131]) ).
fof(f175,plain,
( axiom_4
| ~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))) ),
inference(cnf_transformation,[],[f135]) ).
fof(f176,plain,
! [X0] :
( is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_5 ),
inference(cnf_transformation,[],[f133]) ).
fof(f177,plain,
! [X0] :
( possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(cnf_transformation,[],[f134]) ).
fof(f178,plain,
op_possibly,
inference(cnf_transformation,[],[f77]) ).
fof(f181,plain,
axiom_M,
inference(cnf_transformation,[],[f80]) ).
fof(f182,plain,
axiom_5,
inference(cnf_transformation,[],[f81]) ).
fof(f183,plain,
~ axiom_4,
inference(cnf_transformation,[],[f84]) ).
fof(f184,plain,
! [X0] : possibly(X0) = not(necessarily(not(X0))),
inference(forward_subsumption_resolution,[],[f177,f178]) ).
fof(f185,plain,
! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))),
inference(forward_subsumption_resolution,[],[f176,f182]) ).
fof(f186,plain,
~ is_a_theorem(implies(necessarily(sK0),necessarily(necessarily(sK0)))),
inference(forward_subsumption_resolution,[],[f175,f183]) ).
fof(f187,plain,
! [X0] : is_a_theorem(implies(necessarily(X0),X0)),
inference(forward_subsumption_resolution,[],[f174,f181]) ).
fof(f191,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(forward_subsumption_resolution,[],[f152,f155]) ).
fof(f192,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(forward_subsumption_resolution,[],[f151,f154]) ).
fof(f193,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),
inference(forward_subsumption_resolution,[],[f150,f170]) ).
fof(f194,plain,
! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))),
inference(forward_subsumption_resolution,[],[f149,f169]) ).
fof(f196,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))),
inference(forward_subsumption_resolution,[],[f147,f167]) ).
fof(f199,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
inference(forward_subsumption_resolution,[],[f144,f164]) ).
fof(f200,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)),
inference(forward_subsumption_resolution,[],[f143,f163]) ).
fof(f201,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
inference(forward_subsumption_resolution,[],[f142,f162]) ).
fof(f202,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(forward_subsumption_resolution,[],[f141,f161]) ).
fof(f203,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(forward_subsumption_resolution,[],[f140,f160]) ).
fof(f204,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(forward_subsumption_resolution,[],[f139,f159]) ).
fof(f205,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))),
inference(forward_subsumption_resolution,[],[f138,f158]) ).
fof(f206,plain,
! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f137,f171]) ).
fof(f207,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f136,f157]) ).
fof(f208,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f192,f191]) ).
fof(f210,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f203,f207]) ).
fof(f211,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f204,f210]) ).
fof(f215,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f202,f207]) ).
fof(f216,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f215,f210]) ).
fof(f224,plain,
! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
inference(resolution,[],[f199,f210]) ).
fof(f226,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,and(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f199,f207]) ).
fof(f261,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X1,X0),equiv(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f193,f207]) ).
fof(f265,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[],[f261,f207]) ).
fof(f272,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| is_a_theorem(equiv(equiv(X0,X1),implies(X1,X0)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f265,f261]) ).
fof(f276,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(and(X0,X1),X1))
| is_a_theorem(equiv(and(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f265,f226]) ).
fof(f277,plain,
! [X0] :
( ~ is_a_theorem(implies(and(X0,X0),X0))
| is_a_theorem(equiv(and(X0,X0),X0)) ),
inference(resolution,[],[f265,f224]) ).
fof(f279,plain,
! [X0] : is_a_theorem(equiv(and(X0,X0),X0)),
inference(forward_subsumption_resolution,[],[f277,f200]) ).
fof(f280,plain,
! [X0,X1] :
( is_a_theorem(equiv(and(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(forward_subsumption_resolution,[],[f276,f200]) ).
fof(f282,plain,
! [X0,X1] :
( is_a_theorem(equiv(equiv(X0,X1),implies(X1,X0)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f272,f194]) ).
fof(f292,plain,
! [X0] : and(X0,X0) = X0,
inference(resolution,[],[f206,f279]) ).
fof(f293,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| equiv(X0,X1) = implies(X1,X0) ),
inference(resolution,[],[f206,f282]) ).
fof(f296,plain,
! [X0] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[],[f191,f292]) ).
fof(f299,plain,
! [X0] : or(X0,X0) = not(not(X0)),
inference(forward_demodulation,[],[f296,f208]) ).
fof(f300,plain,
! [X0] : implies(X0,necessarily(X0)) = equiv(necessarily(X0),X0),
inference(resolution,[],[f293,f187]) ).
fof(f314,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,necessarily(X0)))
| necessarily(X0) = X0 ),
inference(superposition,[],[f206,f300]) ).
fof(f323,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f205,f207]) ).
fof(f330,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(forward_demodulation,[],[f323,f208]) ).
fof(f398,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| and(X0,X1) = X1 ),
inference(resolution,[],[f280,f206]) ).
fof(f410,plain,
! [X0,X1] : and(implies(X0,X0),X1) = X1,
inference(resolution,[],[f398,f211]) ).
fof(f433,plain,
! [X0,X1] : not(not(X0)) = implies(implies(X1,X1),X0),
inference(superposition,[],[f191,f410]) ).
fof(f456,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
inference(superposition,[],[f204,f433]) ).
fof(f523,plain,
! [X0] :
( ~ is_a_theorem(implies(not(not(X0)),X0))
| is_a_theorem(equiv(not(not(X0)),X0)) ),
inference(resolution,[],[f456,f265]) ).
fof(f531,plain,
! [X0] :
( is_a_theorem(equiv(not(not(X0)),X0))
| ~ is_a_theorem(or(not(X0),X0)) ),
inference(forward_demodulation,[],[f523,f208]) ).
fof(f763,plain,
! [X0] : is_a_theorem(implies(necessarily(not(X0)),not(possibly(X0)))),
inference(superposition,[],[f456,f184]) ).
fof(f806,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),implies(or(X0,X2),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f196,f207]) ).
fof(f848,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,X2),X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f806,f207]) ).
fof(f875,plain,
! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X1))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[],[f848,f299]) ).
fof(f878,plain,
! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(duplicate_literal_removal,[],[f875]) ).
fof(f880,plain,
! [X0,X1] :
( is_a_theorem(or(not(X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f878,f208]) ).
fof(f882,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f880,f330]) ).
fof(f896,plain,
! [X0] : is_a_theorem(implies(X0,not(necessarily(not(X0))))),
inference(resolution,[],[f882,f187]) ).
fof(f906,plain,
! [X0] : is_a_theorem(implies(X0,possibly(X0))),
inference(forward_demodulation,[],[f896,f184]) ).
fof(f913,plain,
! [X0,X1] : and(implies(X0,possibly(X0)),X1) = X1,
inference(resolution,[],[f906,f398]) ).
fof(f989,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,possibly(X1)))),
inference(superposition,[],[f201,f913]) ).
fof(f995,plain,
! [X0,X1] : not(not(X0)) = implies(implies(X1,possibly(X1)),X0),
inference(superposition,[],[f191,f913]) ).
fof(f1368,plain,
! [X0] : possibly(X0) = necessarily(possibly(X0)),
inference(resolution,[],[f185,f314]) ).
fof(f2034,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(not(X0)),implies(X1,possibly(X1))))
| is_a_theorem(implies(not(not(X0)),X0)) ),
inference(superposition,[],[f216,f995]) ).
fof(f2042,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(forward_subsumption_resolution,[],[f2034,f989]) ).
fof(f2051,plain,
! [X0] : is_a_theorem(or(not(X0),X0)),
inference(forward_demodulation,[],[f2042,f208]) ).
fof(f2064,plain,
! [X0] : is_a_theorem(or(possibly(X0),necessarily(not(X0)))),
inference(superposition,[],[f2051,f184]) ).
fof(f4400,plain,
! [X0] :
( ~ is_a_theorem(implies(not(possibly(X0)),necessarily(not(X0))))
| is_a_theorem(equiv(not(possibly(X0)),necessarily(not(X0)))) ),
inference(resolution,[],[f763,f265]) ).
fof(f4415,plain,
! [X0] :
( ~ is_a_theorem(or(possibly(X0),necessarily(not(X0))))
| is_a_theorem(equiv(not(possibly(X0)),necessarily(not(X0)))) ),
inference(forward_demodulation,[],[f4400,f208]) ).
fof(f4418,plain,
! [X0] : is_a_theorem(equiv(not(possibly(X0)),necessarily(not(X0)))),
inference(forward_subsumption_resolution,[],[f4415,f2064]) ).
fof(f4422,plain,
! [X0] : not(possibly(X0)) = necessarily(not(X0)),
inference(resolution,[],[f4418,f206]) ).
fof(f4446,plain,
! [X0] : possibly(possibly(X0)) = not(necessarily(necessarily(not(X0)))),
inference(superposition,[],[f184,f4422]) ).
fof(f4575,plain,
! [X0] : possibly(necessarily(necessarily(not(X0)))) = not(necessarily(possibly(possibly(X0)))),
inference(superposition,[],[f184,f4446]) ).
fof(f4671,plain,
! [X0] : not(possibly(possibly(X0))) = possibly(necessarily(necessarily(not(X0)))),
inference(forward_demodulation,[],[f4575,f1368]) ).
fof(f4706,plain,
! [X0] : necessarily(not(possibly(X0))) = possibly(necessarily(necessarily(not(X0)))),
inference(forward_demodulation,[],[f4671,f4422]) ).
fof(f4718,plain,
! [X0] : necessarily(necessarily(not(X0))) = possibly(necessarily(necessarily(not(X0)))),
inference(forward_demodulation,[],[f4706,f4422]) ).
fof(f5116,plain,
! [X0] : necessarily(necessarily(possibly(X0))) = possibly(necessarily(necessarily(possibly(X0)))),
inference(superposition,[],[f4718,f184]) ).
fof(f5152,plain,
! [X0] : necessarily(possibly(X0)) = possibly(necessarily(possibly(X0))),
inference(forward_demodulation,[],[f5116,f1368]) ).
fof(f5158,plain,
! [X0] : possibly(X0) = possibly(possibly(X0)),
inference(forward_demodulation,[],[f5152,f1368]) ).
fof(f5297,plain,
! [X0] : not(possibly(X0)) = necessarily(not(possibly(X0))),
inference(superposition,[],[f4422,f5158]) ).
fof(f5298,plain,
! [X0] : necessarily(not(X0)) = necessarily(necessarily(not(X0))),
inference(forward_demodulation,[],[f5297,f4422]) ).
fof(f8360,plain,
! [X0] :
( ~ is_a_theorem(or(not(X0),X0))
| not(not(X0)) = X0 ),
inference(resolution,[],[f531,f206]) ).
fof(f8384,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_subsumption_resolution,[],[f8360,f2051]) ).
fof(f8526,plain,
! [X0] : necessarily(X0) = necessarily(necessarily(X0)),
inference(superposition,[],[f5298,f8384]) ).
fof(f8687,plain,
~ is_a_theorem(implies(necessarily(sK0),necessarily(sK0))),
inference(superposition,[],[f186,f8526]) ).
fof(f8766,plain,
$false,
inference(forward_subsumption_resolution,[],[f8687,f211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL523+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n002.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 15:58:37 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.47 Running first-order theorem proving
% 0.22/0.47 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
% 5.45/1.82 % (3704983)Detected formulas, will run a generic FOF schedule.
% 5.45/1.82 % (3705000)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3617108859:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.45/1.82 % (3705000)Refutation not found, incomplete strategy
% 5.45/1.82 % (3705000)------------------------------
% 5.45/1.82 % (3705000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.82 % (3705000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.82 % (3705000)CaDiCaL version: 2.1.3
% 5.45/1.82 % (3705000)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.82 % (3705000)Time elapsed: 0.0000 s
% 5.45/1.82 % (3705000)Peak memory usage: 87 MB
% 5.45/1.82 % (3705002)dis-21_1_sil=8000:lcm=predicate:random_seed=72126438: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)
% 5.45/1.82 % (3705002)Refutation not found, incomplete strategy
% 5.45/1.82 % (3705002)------------------------------
% 5.45/1.82 % (3705002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.82 % (3705002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.82 % (3705002)CaDiCaL version: 2.1.3
% 5.45/1.82 % (3705002)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.82 % (3705002)Time elapsed: 0.001 s
% 5.45/1.82 % (3705002)Peak memory usage: 87 MB
% 5.45/1.82 % (3704996)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=2541401458:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.45/1.82 % (3704999)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=25788319:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.45/1.82 % (3705001)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=241825189:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.45/1.82 % (3704997)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=1789399740:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.45/1.82 % (3704998)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=3977681289:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.45/1.82 % (3704999)Refutation not found, incomplete strategy
% 5.45/1.82 % (3704999)------------------------------
% 5.45/1.82 % (3704999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.82 % (3704999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.82 % (3704999)CaDiCaL version: 2.1.3
% 5.45/1.82 % (3704999)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.82 % (3704999)Time elapsed: 0.001 s
% 5.45/1.82 % (3704999)Peak memory usage: 87 MB
% 5.45/1.82 % (3705001)Instruction limit reached!
% 5.45/1.82 % (3705001)------------------------------
% 5.45/1.82 % (3705001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.82 % (3705001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.82 % (3705001)CaDiCaL version: 2.1.3
% 5.45/1.82 % (3705001)Termination reason: Instruction limit
% 5.45/1.82 % (3705001)Termination phase: Saturation
% 5.45/1.82 % (3705001)Time elapsed: 0.146 s
% 5.45/1.82 % (3705001)Peak memory usage: 90 MB
% 5.45/1.82 % (3705001)Instructions burned: 139 (million)
% 5.45/1.82 % (3705000)------------------------------
% 5.45/1.82 % (3705000)------------------------------
% 5.45/1.82 % (3705011)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1086090779:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 5.45/1.82 % (3705011)Refutation not found, incomplete strategy
% 5.45/1.82 % (3705011)------------------------------
% 5.45/1.82 % (3705011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.82 % (3705011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.82 % (3705011)CaDiCaL version: 2.1.3
% 5.45/1.82 % (3705011)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.82 % (3705011)Time elapsed: 0.001 s
% 5.45/1.82 % (3705011)Peak memory usage: 87 MB
% 5.45/1.82 % (3705010)lrs+10_1_sil=8000:sp=occurrence:random_seed=2394783534:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 8.95/2.29 % (3705010)Refutation not found, incomplete strategy
% 8.95/2.29 % (3705010)------------------------------
% 8.95/2.29 % (3705010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.29 % (3705010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.29 % (3705010)CaDiCaL version: 2.1.3
% 8.95/2.29 % (3705010)Termination reason: Refutation not found, incomplete strategy
% 8.95/2.29 % (3705010)Time elapsed: 0.001 s
% 8.95/2.29 % (3705010)Peak memory usage: 87 MB
% 8.95/2.29 % (3705002)------------------------------
% 8.95/2.29 % (3705002)------------------------------
% 8.95/2.29 % (3704999)------------------------------
% 8.95/2.29 % (3704999)------------------------------
% 8.95/2.29 % (3705011)------------------------------
% 8.95/2.29 % (3705011)------------------------------
% 8.95/2.29 [W927 15:58:39.105856892 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.105972179 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.106071713 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.106123366 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.106195716 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.106241756 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.106316036 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.106362153 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.106431386 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.106477620 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.95/2.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.95/2.29 [W927 15:58:39.106548746 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.106623656 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 % (3705016)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1937684534:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 12.88/3.04 % (3705016)Refutation not found, incomplete strategy
% 12.88/3.04 % (3705016)------------------------------
% 12.88/3.04 % (3705016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.88/3.04 % (3705016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/3.04 % (3705016)CaDiCaL version: 2.1.3
% 12.88/3.04 % (3705016)Termination reason: Refutation not found, incomplete strategy
% 12.88/3.04 % (3705016)Time elapsed: 0.001 s
% 12.88/3.04 % (3705016)Peak memory usage: 87 MB
% 12.88/3.04 % (3705017)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=2068942185:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.88/3.04 [W927 15:58:39.123710949 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.123753216 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.123814739 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.123835806 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.123887356 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.123907246 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.123954926 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.123986919 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.124107106 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.88/3.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.88/3.04 [W927 15:58:39.124130570 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 17.48/3.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 17.48/3.43 [W927 15:58:39.124176783 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 17.48/3.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 17.48/3.43 [W927 15:58:39.124238376 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 17.48/3.43 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 17.48/3.43 % (3705018)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3346791137:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 17.48/3.43 % (3705018)Refutation not found, incomplete strategy
% 17.48/3.43 % (3705018)------------------------------
% 17.48/3.43 % (3705018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/3.43 % (3705018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/3.43 % (3705018)CaDiCaL version: 2.1.3
% 17.48/3.43 % (3705018)Termination reason: Refutation not found, incomplete strategy
% 17.48/3.43 % (3705018)Time elapsed: 0.001 s
% 17.48/3.43 % (3705018)Peak memory usage: 87 MB
% 17.48/3.43 % (3705010)------------------------------
% 17.48/3.43 % (3705010)------------------------------
% 17.48/3.43 % (3705017)Instruction limit reached!
% 17.48/3.43 % (3705017)------------------------------
% 17.48/3.43 % (3705017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/3.43 % (3705017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/3.43 % (3705017)CaDiCaL version: 2.1.3
% 17.48/3.43 % (3705017)Termination reason: Instruction limit
% 17.48/3.43 % (3705017)Termination phase: Saturation
% 17.48/3.43 % (3705017)Time elapsed: 0.238 s
% 17.48/3.43 % (3705017)Peak memory usage: 93 MB
% 17.48/3.43 % (3705017)Instructions burned: 248 (million)
% 17.48/3.43 % (3704998)Refutation not found, incomplete strategy
% 17.48/3.43 % (3704998)------------------------------
% 17.48/3.43 % (3704998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/3.43 % (3704998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/3.43 % (3704998)CaDiCaL version: 2.1.3
% 17.48/3.43 % (3704998)Termination reason: Refutation not found, incomplete strategy
% 17.48/3.43 % (3704998)Time elapsed: 0.884 s
% 17.48/3.43 % (3704998)Peak memory usage: 126 MB
% 17.48/3.43 % (3704998)Instructions burned: 823 (million)
% 17.48/3.43 % (3704997)Refutation not found, incomplete strategy
% 17.48/3.43 % (3704997)------------------------------
% 17.48/3.43 % (3704997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/3.43 % (3704997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/3.43 % (3704997)CaDiCaL version: 2.1.3
% 17.48/3.43 % (3704997)Termination reason: Refutation not found, incomplete strategy
% 17.48/3.43 % (3704997)Time elapsed: 0.886 s
% 17.48/3.43 % (3704997)Peak memory usage: 126 MB
% 17.48/3.43 % (3704997)Instructions burned: 826 (million)
% 17.48/3.43 % (3705018)------------------------------
% 17.48/3.43 % (3705018)------------------------------
% 17.48/3.43 % (3705022)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1604463069:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 17.48/3.43 % (3705016)------------------------------
% 17.48/3.43 % (3705016)------------------------------
% 17.48/3.43 % (3705023)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2779572664:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 17.48/3.43 % (3705023)Refutation not found, incomplete strategy
% 17.48/3.43 % (3705023)------------------------------
% 17.48/3.43 % (3705023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.48/3.43 % (3705023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.48/3.43 % (3705023)CaDiCaL version: 2.1.3
% 17.48/3.43 % (3705023)Termination reason: Refutation not found, incomplete strategy
% 17.48/3.43 % (3705023)Time elapsed: 0.001 s
% 17.48/3.43 % (3705023)Peak memory usage: 87 MB
% 18.38/3.64 % (3705024)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3370643596:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 18.38/3.64 % (3705024)Instruction limit reached!
% 18.38/3.64 % (3705024)------------------------------
% 18.38/3.64 % (3705024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.38/3.64 % (3705024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.38/3.64 % (3705024)CaDiCaL version: 2.1.3
% 18.38/3.64 % (3705024)Termination reason: Instruction limit
% 18.38/3.64 % (3705024)Termination phase: Saturation
% 18.38/3.64 % (3705024)Time elapsed: 0.086 s
% 18.38/3.64 % (3705024)Peak memory usage: 89 MB
% 18.38/3.64 % (3705024)Instructions burned: 128 (million)
% 18.38/3.64 % (3705026)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2734821881:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 18.38/3.64 % (3705026)Refutation not found, incomplete strategy
% 18.38/3.64 % (3705026)------------------------------
% 18.38/3.64 % (3705026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.38/3.64 % (3705026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.38/3.64 % (3705026)CaDiCaL version: 2.1.3
% 18.38/3.64 % (3705026)Termination reason: Refutation not found, incomplete strategy
% 18.38/3.64 % (3705026)Time elapsed: 0.002 s
% 18.38/3.64 % (3705026)Peak memory usage: 87 MB
% 18.38/3.64 % (3704997)------------------------------
% 18.38/3.64 % (3704997)------------------------------
% 18.38/3.64 % (3704998)------------------------------
% 18.38/3.64 % (3704998)------------------------------
% 18.38/3.64 % (3705029)lrs+10_1_sil=8000:sp=occurrence:random_seed=1551716154:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 18.38/3.64 % (3705031)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3489127295:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 18.38/3.64 % (3705031)Refutation not found, incomplete strategy
% 18.38/3.64 % (3705031)------------------------------
% 18.38/3.64 % (3705031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.38/3.64 % (3705031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.38/3.64 % (3705031)CaDiCaL version: 2.1.3
% 18.38/3.64 % (3705031)Termination reason: Refutation not found, incomplete strategy
% 18.38/3.64 % (3705031)Time elapsed: 0.001 s
% 18.38/3.64 % (3705031)Peak memory usage: 87 MB
% 18.38/3.64 % (3705032)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2652403610:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 18.38/3.64 % (3705023)------------------------------
% 18.38/3.64 % (3705023)------------------------------
% 18.38/3.64 % (3705026)------------------------------
% 18.38/3.64 % (3705026)------------------------------
% 18.38/3.64 % (3705031)------------------------------
% 18.38/3.64 % (3705031)------------------------------
% 18.38/3.64 % (3705036)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3545098770:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 18.38/3.64 % (3705036)Refutation not found, incomplete strategy
% 18.38/3.64 % (3705036)------------------------------
% 18.38/3.64 % (3705036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.38/3.64 % (3705036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.38/3.64 % (3705036)CaDiCaL version: 2.1.3
% 18.38/3.64 % (3705036)Termination reason: Refutation not found, incomplete strategy
% 18.38/3.64 % (3705036)Time elapsed: 0.001 s
% 18.38/3.64 % (3705036)Peak memory usage: 87 MB
% 18.38/3.64 % (3705039)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2020656723:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 18.38/3.64 % (3705037)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3494286609:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 18.38/3.64 % (3705037)Refutation not found, incomplete strategy
% 18.38/3.64 % (3705037)------------------------------
% 18.38/3.64 % (3705037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.38/3.64 % (3705037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.38/3.64 % (3705037)CaDiCaL version: 2.1.3
% 18.38/3.64 % (3705037)Termination reason: Refutation not found, incomplete strategy
% 18.38/3.64 % (3705037)Time elapsed: 0.002 s
% 18.38/3.64 % (3705037)Peak memory usage: 88 MB
% 18.38/3.64 % (3705037)Instructions burned: 1 (million)
% 18.38/3.64 % (3704996)First to succeed.
% 18.38/3.64 % (3704996)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3704983"
% 18.38/3.64 % (3705036)------------------------------
% 18.38/3.64 % (3705036)------------------------------
% 18.38/3.64 [W927 15:58:40.655339434 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655421314 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655475787 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655503203 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655544117 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655570438 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655609977 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655635249 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655673313 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655698207 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655735969 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 [W927 15:58:40.655760726 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 18.38/3.64 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 18.38/3.64 % (3705037)------------------------------
% 18.38/3.64 % (3705037)------------------------------
% 18.38/3.64 % (3705029)Instruction limit reached!
% 18.38/3.64 % (3705029)------------------------------
% 18.38/3.64 % (3705029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.38/3.64 % (3705029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.38/3.64 % (3705029)CaDiCaL version: 2.1.3
% 18.38/3.64 % (3705029)Termination reason: Instruction limit
% 18.38/3.64 % (3705029)Termination phase: Saturation
% 18.38/3.64 % (3705029)Time elapsed: 0.880 s
% 18.38/3.64 % (3705029)Peak memory usage: 101 MB
% 18.38/3.64 % (3705029)Instructions burned: 908 (million)
% 18.38/3.64 % (3705039)Refutation not found, incomplete strategy
% 18.38/3.64 % (3705039)------------------------------
% 18.38/3.64 % (3705039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.38/3.64 % (3705039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.38/3.64 % (3705039)CaDiCaL version: 2.1.3
% 18.38/3.64 % (3705039)Termination reason: Refutation not found, incomplete strategy
% 18.38/3.64 % (3705039)Time elapsed: 0.499 s
% 18.38/3.64 % (3705039)Peak memory usage: 126 MB
% 18.38/3.64 % (3705039)Instructions burned: 828 (million)
% 18.38/3.64 % (3705044)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=2774895709:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 18.38/3.64 % (3705044)Refutation not found, incomplete strategy
% 18.38/3.64 % (3705044)------------------------------
% 18.38/3.64 % (3705044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.38/3.64 % (3705044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.38/3.64 % (3705044)CaDiCaL version: 2.1.3
% 18.38/3.64 % (3705044)Termination reason: Refutation not found, incomplete strategy
% 18.38/3.64 % (3705044)Time elapsed: 0.002 s
% 18.38/3.64 % (3705044)Peak memory usage: 88 MB
% 18.38/3.64 % (3705044)Instructions burned: 1 (million)
% 18.38/3.64 % (3704996)Refutation found. Thanks to Tanya!
% 18.38/3.64 % SZS status Theorem for theBenchmark
% 18.38/3.64 % SZS output start Proof for theBenchmark
% See solution above
% 19.39/3.90 % (3704996)------------------------------
% 19.39/3.90 % (3704996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.39/3.90 % (3704996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.39/3.90 % (3704996)CaDiCaL version: 2.1.3
% 19.39/3.90 % (3704996)Termination reason: Refutation
% 19.39/3.90 % (3704996)Time elapsed: 2.010 s
% 19.39/3.90 % (3704996)Peak memory usage: 139 MB
% 19.39/3.90 % (3704996)Instructions burned: 2075 (million)
% 19.39/3.90 % (3704996)------------------------------
% 19.39/3.90 % (3704996)------------------------------
% 19.39/3.90 % (3704983)Success in time 2.651 s
% 19.39/3.90 % Vampire exiting
%------------------------------------------------------------------------------