%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL524+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 : n013.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 6.93s 2.04s
% Output : Refutation 8.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 124 ( 54 unt; 0 def)
% Number of atoms : 212 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 150 ( 62 ~; 57 |; 2 &)
% ( 11 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 15 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 157 ( 156 !; 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(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(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(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(f38,axiom,
implies_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_2) ).
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(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(f57,axiom,
( axiom_B
<=> ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_B) ).
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_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_B) ).
fof(f83,negated_conjecture,
~ axiom_B,
inference(negated_conjecture,[status(cth)],[f82]) ).
fof(f84,plain,
~ axiom_B,
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(X0,necessarily(possibly(X0))))
=> axiom_B ),
inference(unused_predicate_definition_removal,[],[f57]) ).
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(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(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(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(f115,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(ennf_transformation,[],[f100]) ).
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(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_B
| ? [X0] : ~ is_a_theorem(implies(X0,necessarily(possibly(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_B
| ~ is_a_theorem(implies(sK0,necessarily(possibly(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(f140,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[],[f115]) ).
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(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(f160,plain,
implies_2,
inference(cnf_transformation,[],[f38]) ).
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(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_B
| ~ is_a_theorem(implies(sK0,necessarily(possibly(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_B,
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(sK0,necessarily(possibly(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(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(f203,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(forward_subsumption_resolution,[],[f140,f160]) ).
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(f211,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f203,f207]) ).
fof(f227,plain,
! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
inference(resolution,[],[f199,f211]) ).
fof(f267,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X1,X0),equiv(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f193,f207]) ).
fof(f271,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[],[f267,f207]) ).
fof(f277,plain,
! [X0] :
( ~ is_a_theorem(implies(and(X0,X0),X0))
| is_a_theorem(equiv(and(X0,X0),X0)) ),
inference(resolution,[],[f271,f227]) ).
fof(f284,plain,
! [X0] :
( ~ is_a_theorem(implies(necessarily(possibly(X0)),possibly(X0)))
| is_a_theorem(equiv(necessarily(possibly(X0)),possibly(X0))) ),
inference(resolution,[],[f271,f185]) ).
fof(f286,plain,
! [X0] : is_a_theorem(equiv(necessarily(possibly(X0)),possibly(X0))),
inference(forward_subsumption_resolution,[],[f284,f187]) ).
fof(f289,plain,
! [X0] : is_a_theorem(equiv(and(X0,X0),X0)),
inference(forward_subsumption_resolution,[],[f277,f200]) ).
fof(f305,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f205,f207]) ).
fof(f315,plain,
! [X0,X1] :
( ~ is_a_theorem(or(X0,not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(forward_demodulation,[],[f305,f208]) ).
fof(f323,plain,
! [X0] : and(X0,X0) = X0,
inference(resolution,[],[f206,f289]) ).
fof(f324,plain,
! [X0] : possibly(X0) = necessarily(possibly(X0)),
inference(resolution,[],[f206,f286]) ).
fof(f328,plain,
! [X0] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[],[f191,f323]) ).
fof(f332,plain,
! [X0] : or(X0,X0) = not(not(X0)),
inference(forward_demodulation,[],[f328,f208]) ).
fof(f353,plain,
~ is_a_theorem(implies(sK0,possibly(sK0))),
inference(superposition,[],[f186,f324]) ).
fof(f764,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(f806,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,[],[f764,f207]) ).
fof(f833,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,[],[f806,f332]) ).
fof(f837,plain,
! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(duplicate_literal_removal,[],[f833]) ).
fof(f839,plain,
! [X0,X1] :
( is_a_theorem(or(not(X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f837,f208]) ).
fof(f841,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f839,f315]) ).
fof(f854,plain,
! [X0] : is_a_theorem(implies(X0,not(necessarily(not(X0))))),
inference(resolution,[],[f841,f187]) ).
fof(f864,plain,
! [X0] : is_a_theorem(implies(X0,possibly(X0))),
inference(forward_demodulation,[],[f854,f184]) ).
fof(f867,plain,
$false,
inference(resolution,[],[f864,f353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL524+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:55:22 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.63/1.44 % (377465)Detected formulas, will run a generic FOF schedule.
% 3.63/1.44 % (377471)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=119941770:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.63/1.44 % (377474)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3049129298:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.63/1.44 % (377472)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=1275505346:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.63/1.44 % (377470)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=2682247311:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.63/1.44 % (377473)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1811096281:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.63/1.44 % (377474)Refutation not found, incomplete strategy
% 3.63/1.44 % (377474)------------------------------
% 3.63/1.44 % (377474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.44 % (377474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.44 % (377474)CaDiCaL version: 2.1.3
% 3.63/1.44 % (377474)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.44 % (377474)Time elapsed: 0.001 s
% 3.63/1.44 % (377473)Refutation not found, incomplete strategy
% 3.63/1.44 % (377473)------------------------------
% 3.63/1.44 % (377473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.44 % (377474)Peak memory usage: 86 MB
% 3.63/1.44 % (377473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.44 % (377473)CaDiCaL version: 2.1.3
% 3.63/1.44 % (377473)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.44 % (377473)Time elapsed: 0.001 s
% 3.63/1.44 % (377473)Peak memory usage: 87 MB
% 3.63/1.44 % (377475)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1370292444:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.63/1.44 % (377476)dis-21_1_sil=8000:lcm=predicate:random_seed=2618210898: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)
% 3.63/1.44 % (377476)Refutation not found, incomplete strategy
% 3.63/1.44 % (377476)------------------------------
% 3.63/1.44 % (377476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.44 % (377476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.44 % (377476)CaDiCaL version: 2.1.3
% 3.63/1.44 % (377476)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.44 % (377476)Time elapsed: 0.001 s
% 3.63/1.44 % (377476)Peak memory usage: 87 MB
% 3.63/1.44 % (377475)Instruction limit reached!
% 3.63/1.44 % (377475)------------------------------
% 3.63/1.44 % (377475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.44 % (377475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.44 % (377475)CaDiCaL version: 2.1.3
% 3.63/1.44 % (377475)Termination reason: Instruction limit
% 3.63/1.44 % (377475)Termination phase: Saturation
% 3.63/1.44 % (377475)Time elapsed: 0.093 s
% 3.63/1.44 % (377475)Peak memory usage: 90 MB
% 3.63/1.44 % (377475)Instructions burned: 140 (million)
% 3.63/1.44 [W927 15:55:22.959035288 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.63/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.63/1.44 [W927 15:55:22.959058416 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.63/1.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.63/1.44 [W927 15:55:22.959080626 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 [W927 15:55:22.959087931 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 [W927 15:55:22.959101491 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 [W927 15:55:22.959109341 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 [W927 15:55:22.959122149 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 [W927 15:55:22.959127466 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 [W927 15:55:22.959140048 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 [W927 15:55:22.959151618 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 [W927 15:55:22.959165564 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 [W927 15:55:22.959170885 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.88/1.78 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.88/1.78 % (377474)------------------------------
% 5.88/1.78 % (377474)------------------------------
% 5.88/1.78 % (377473)------------------------------
% 5.88/1.78 % (377473)------------------------------
% 5.88/1.78 % (377476)------------------------------
% 5.88/1.78 % (377476)------------------------------
% 5.88/1.78 % (377484)lrs+10_1_sil=8000:sp=occurrence:random_seed=1828913448:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.88/1.78 % (377484)Refutation not found, incomplete strategy
% 5.88/1.78 % (377484)------------------------------
% 5.88/1.78 % (377484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.78 % (377484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.78 % (377484)CaDiCaL version: 2.1.3
% 5.88/1.78 % (377484)Termination reason: Refutation not found, incomplete strategy
% 5.88/1.78 % (377484)Time elapsed: 0.001 s
% 5.88/1.78 % (377484)Peak memory usage: 87 MB
% 5.88/1.78 % (377471)Refutation not found, incomplete strategy
% 5.88/1.78 % (377471)------------------------------
% 5.88/1.78 % (377471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.78 % (377471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.78 % (377471)CaDiCaL version: 2.1.3
% 5.88/1.78 % (377471)Termination reason: Refutation not found, incomplete strategy
% 6.93/2.03 % (377471)Time elapsed: 0.326 s
% 6.93/2.03 % (377471)Peak memory usage: 126 MB
% 6.93/2.03 % (377471)Instructions burned: 826 (million)
% 6.93/2.03 [W927 15:55:23.180860703 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.180896980 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.180936324 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.180949084 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.180975584 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.180987307 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.181025684 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.181038194 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.181063830 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.181075294 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.181100767 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 [W927 15:55:23.181112134 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.93/2.03 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.93/2.03 % (377486)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3875352160:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.93/2.03 % (377485)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1081661014:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.93/2.03 % (377486)Refutation not found, incomplete strategy
% 6.93/2.03 % (377486)------------------------------
% 6.93/2.03 % (377486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/2.03 % (377486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/2.03 % (377486)CaDiCaL version: 2.1.3
% 6.93/2.03 % (377486)Termination reason: Refutation not found, incomplete strategy
% 6.93/2.03 % (377486)Time elapsed: 0.001 s
% 6.93/2.03 % (377486)Peak memory usage: 87 MB
% 6.93/2.03 % (377485)Refutation not found, incomplete strategy
% 6.93/2.03 % (377485)------------------------------
% 6.93/2.03 % (377485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/2.03 % (377485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/2.03 % (377485)CaDiCaL version: 2.1.3
% 6.93/2.03 % (377485)Termination reason: Refutation not found, incomplete strategy
% 6.93/2.03 % (377485)Time elapsed: 0.001 s
% 6.93/2.03 % (377485)Peak memory usage: 87 MB
% 6.93/2.03 % (377487)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=3931864071:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.93/2.03 % (377471)------------------------------
% 6.93/2.03 % (377471)------------------------------
% 6.93/2.03 % (377484)------------------------------
% 6.93/2.03 % (377484)------------------------------
% 6.93/2.03 % (377472)Refutation not found, incomplete strategy
% 6.93/2.03 % (377472)------------------------------
% 6.93/2.03 % (377472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/2.03 % (377472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/2.03 % (377472)CaDiCaL version: 2.1.3
% 6.93/2.03 % (377472)Termination reason: Refutation not found, incomplete strategy
% 6.93/2.03 % (377472)Time elapsed: 0.553 s
% 6.93/2.03 % (377472)Peak memory usage: 125 MB
% 6.93/2.03 % (377472)Instructions burned: 823 (million)
% 6.93/2.03 % (377492)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2262109029:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.93/2.03 % (377492)Refutation not found, incomplete strategy
% 6.93/2.03 % (377492)------------------------------
% 6.93/2.03 % (377492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/2.03 % (377492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/2.03 % (377492)CaDiCaL version: 2.1.3
% 6.93/2.03 % (377492)Termination reason: Refutation not found, incomplete strategy
% 6.93/2.03 % (377492)Time elapsed: 0.0000 s
% 6.93/2.03 % (377492)Peak memory usage: 87 MB
% 6.93/2.03 % (377487)Instruction limit reached!
% 6.93/2.03 % (377487)------------------------------
% 6.93/2.03 % (377487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/2.03 % (377487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/2.03 % (377487)CaDiCaL version: 2.1.3
% 6.93/2.03 % (377487)Termination reason: Instruction limit
% 6.93/2.03 % (377487)Termination phase: Saturation
% 6.93/2.03 % (377487)Time elapsed: 0.150 s
% 6.93/2.03 % (377487)Peak memory usage: 93 MB
% 6.93/2.03 % (377487)Instructions burned: 248 (million)
% 6.93/2.03 % (377485)------------------------------
% 6.93/2.03 % (377485)------------------------------
% 6.93/2.03 % (377486)------------------------------
% 6.93/2.03 % (377486)------------------------------
% 6.93/2.03 % (377493)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2273297880:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 6.93/2.03 % (377492)------------------------------
% 6.93/2.03 % (377492)------------------------------
% 6.93/2.03 % (377470)First to succeed.
% 6.93/2.03 % (377470)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-377465"
% 6.93/2.03 % (377495)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4207900443:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.93/2.03 % (377495)Refutation not found, incomplete strategy
% 6.93/2.03 % (377495)------------------------------
% 6.93/2.03 % (377495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/2.03 % (377495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/2.03 % (377495)CaDiCaL version: 2.1.3
% 6.93/2.03 % (377495)Termination reason: Refutation not found, incomplete strategy
% 6.93/2.03 % (377495)Time elapsed: 0.001 s
% 6.93/2.03 % (377495)Peak memory usage: 87 MB
% 6.93/2.03 % (377472)------------------------------
% 6.93/2.03 % (377472)------------------------------
% 6.93/2.03 % (377497)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1552628263:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.93/2.03 % (377496)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=534607968:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 6.93/2.03 % (377497)Refutation not found, incomplete strategy
% 6.93/2.03 % (377497)------------------------------
% 6.93/2.03 % (377497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/2.03 % (377497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/2.03 % (377497)CaDiCaL version: 2.1.3
% 6.93/2.03 % (377497)Termination reason: Refutation not found, incomplete strategy
% 6.93/2.03 % (377497)Time elapsed: 0.001 s
% 6.93/2.03 % (377497)Peak memory usage: 87 MB
% 6.93/2.03 % (377499)lrs+10_1_sil=8000:sp=occurrence:random_seed=365539129:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.93/2.04 % (377496)Instruction limit reached!
% 6.93/2.04 % (377496)------------------------------
% 6.93/2.04 % (377496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/2.04 % (377496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/2.04 % (377496)CaDiCaL version: 2.1.3
% 6.93/2.04 % (377496)Termination reason: Instruction limit
% 6.93/2.04 % (377496)Termination phase: Saturation
% 6.93/2.04 % (377496)Time elapsed: 0.073 s
% 6.93/2.04 % (377496)Peak memory usage: 88 MB
% 6.93/2.04 % (377496)Instructions burned: 128 (million)
% 6.93/2.04 % (377495)------------------------------
% 6.93/2.04 % (377495)------------------------------
% 6.93/2.04 % (377470)Refutation found. Thanks to Tanya!
% 6.93/2.04 % SZS status Theorem for theBenchmark
% 6.93/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 8.82/2.23 % (377470)------------------------------
% 8.82/2.23 % (377470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.82/2.23 % (377470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/2.23 % (377470)CaDiCaL version: 2.1.3
% 8.82/2.23 % (377470)Termination reason: Refutation
% 8.82/2.23 % (377470)Time elapsed: 0.724 s
% 8.82/2.23 % (377470)Peak memory usage: 128 MB
% 8.82/2.23 % (377470)Instructions burned: 1073 (million)
% 8.82/2.23 % (377470)------------------------------
% 8.82/2.23 % (377470)------------------------------
% 8.82/2.23 % (377465)Success in time 1.163 s
% 8.82/2.23 % Vampire exiting
%------------------------------------------------------------------------------