%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL468+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 : n004.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 11:52:32 AM UTC 2026
% Result : Theorem 63.70s 9.96s
% Output : Refutation 65.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 34
% Syntax : Number of formulae : 197 ( 46 unt; 18 def)
% Number of atoms : 788 ( 31 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1153 ( 562 ~; 553 |; 2 &)
% ( 24 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 29 ( 27 usr; 27 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 228 ( 0 sgn 226 !; 2 ?)
% 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(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(f19,axiom,
( cn1
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn1) ).
fof(f20,axiom,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn2) ).
fof(f21,axiom,
( cn3
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn3) ).
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(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_equiv) ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_op_equiv) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_modus_ponens) ).
fof(f36,axiom,
cn1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn1) ).
fof(f37,axiom,
cn2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn2) ).
fof(f38,axiom,
cn3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn3) ).
fof(f39,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f41,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f43,conjecture,
and_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_3) ).
fof(f44,negated_conjecture,
~ and_3,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ and_3,
inference(flattening,[],[f44]) ).
fof(f46,plain,
( cn3
=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f47,plain,
( cn2
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f48,plain,
( cn1
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f49,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
=> and_3 ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f50,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f51,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(f55,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f51]) ).
fof(f56,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f50]) ).
fof(f58,plain,
( and_3
| ? [X0,X1] : ~ is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(ennf_transformation,[],[f49]) ).
fof(f59,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f60,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(ennf_transformation,[],[f47]) ).
fof(f61,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(ennf_transformation,[],[f46]) ).
fof(f63,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f64,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f65,plain,
( and_3
| ~ is_a_theorem(implies(sK0,implies(sK1,and(sK0,sK1)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f58]) ).
fof(f66,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f56]) ).
fof(f67,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f57]) ).
fof(f68,plain,
( and_3
| ~ is_a_theorem(implies(sK0,implies(sK1,and(sK0,sK1)))) ),
inference(cnf_transformation,[],[f65]) ).
fof(f69,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f70,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f71,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[],[f61]) ).
fof(f73,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f63]) ).
fof(f74,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f64]) ).
fof(f76,plain,
op_equiv,
inference(cnf_transformation,[],[f34]) ).
fof(f77,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f78,plain,
cn1,
inference(cnf_transformation,[],[f36]) ).
fof(f79,plain,
cn2,
inference(cnf_transformation,[],[f37]) ).
fof(f80,plain,
cn3,
inference(cnf_transformation,[],[f38]) ).
fof(f81,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f39]) ).
fof(f83,plain,
op_implies_and,
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
~ and_3,
inference(cnf_transformation,[],[f45]) ).
fof(f87,definition,
( spl2_1
<=> op_equiv ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f91,definition,
( spl2_2
<=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f92,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f74,f91,f87]) ).
fof(f95,definition,
( spl2_3
<=> op_implies_and ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f99,definition,
( spl2_4
<=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f73,f99,f95]) ).
fof(f111,definition,
( spl2_7
<=> cn3 ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f115,definition,
( spl2_8
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( ~ spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f71,f115,f111]) ).
fof(f119,definition,
( spl2_9
<=> cn2 ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f123,definition,
( spl2_10
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f124,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( ~ spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f70,f123,f119]) ).
fof(f127,definition,
( spl2_11
<=> cn1 ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f131,definition,
( spl2_12
<=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f132,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( ~ spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f69,f131,f127]) ).
fof(f135,definition,
( spl2_13
<=> is_a_theorem(implies(sK0,implies(sK1,and(sK0,sK1)))) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f137,plain,
( ~ is_a_theorem(implies(sK0,implies(sK1,and(sK0,sK1))))
| spl2_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl2_14
<=> and_3 ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f142,plain,
( ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f68,f139,f135]) ).
fof(f144,definition,
( spl2_15
<=> substitution_of_equivalents ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f148,definition,
( spl2_16
<=> ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f150,plain,
( ~ spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f67,f148,f144]) ).
fof(f152,definition,
( spl2_17
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f156,definition,
( spl2_18
<=> ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f157,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f158,plain,
( ~ spl2_17
| spl2_18 ),
inference(avatar_split_clause,[],[f66,f156,f152]) ).
fof(f160,plain,
spl2_1,
inference(avatar_split_clause,[],[f76,f87]) ).
fof(f161,plain,
~ spl2_14,
inference(avatar_split_clause,[],[f85,f139]) ).
fof(f162,plain,
spl2_17,
inference(avatar_split_clause,[],[f77,f152]) ).
fof(f163,plain,
spl2_11,
inference(avatar_split_clause,[],[f78,f127]) ).
fof(f164,plain,
spl2_9,
inference(avatar_split_clause,[],[f79,f119]) ).
fof(f165,plain,
spl2_7,
inference(avatar_split_clause,[],[f80,f111]) ).
fof(f166,plain,
spl2_15,
inference(avatar_split_clause,[],[f81,f144]) ).
fof(f167,plain,
spl2_3,
inference(avatar_split_clause,[],[f83,f95]) ).
fof(f168,plain,
( ! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_18 ),
inference(resolution,[],[f157,f116]) ).
fof(f169,plain,
( ! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) )
| ~ spl2_10
| ~ spl2_18 ),
inference(resolution,[],[f157,f124]) ).
fof(f181,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),and(X0,not(X1))))
| is_a_theorem(and(X0,not(X1))) )
| ~ spl2_4
| ~ spl2_8
| ~ spl2_18 ),
inference(superposition,[],[f168,f100]) ).
fof(f189,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f132,f157]) ).
fof(f190,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) )
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f189,f157]) ).
fof(f191,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f190,f124]) ).
fof(f192,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl2_8
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f190,f116]) ).
fof(f198,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X1),X2)) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f191,f157]) ).
fof(f206,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f192,f124]) ).
fof(f208,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl2_8
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f192,f189]) ).
fof(f220,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(not(implies(not(X0),X1)),X2))
| ~ is_a_theorem(X0) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f198,f124]) ).
fof(f248,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X1) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f208,f169]) ).
fof(f255,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f248,f190]) ).
fof(f287,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f255,f124]) ).
fof(f302,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f287,f192]) ).
fof(f309,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f287,f208]) ).
fof(f313,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X2)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f309,f190]) ).
fof(f322,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f302,f220]) ).
fof(f335,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),X2))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f322,f208]) ).
fof(f418,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(X0)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f313,f191]) ).
fof(f421,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f313,f132]) ).
fof(f465,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(not(X1))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f418,f309]) ).
fof(f541,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(not(X1),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f421,f192]) ).
fof(f626,definition,
( spl2_29
<=> ! [X2] : ~ is_a_theorem(X2) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
fof(f627,plain,
( ! [X2] : ~ is_a_theorem(X2)
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f1368,plain,
( $false
| ~ spl2_12
| ~ spl2_29 ),
inference(backward_subsumption_resolution,[],[f132,f627]) ).
fof(f1391,plain,
( ~ spl2_12
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f1368]) ).
fof(f9226,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,not(X1)))
| ~ is_a_theorem(not(X1))
| ~ is_a_theorem(X0) )
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f181,f465]) ).
fof(f9321,plain,
( ! [X2,X0,X1] :
( is_a_theorem(and(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) )
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(superposition,[],[f9226,f100]) ).
fof(f9874,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(superposition,[],[f9321,f92]) ).
fof(f9890,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(X0) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f9874,f287]) ).
fof(f9940,plain,
( ! [X0] :
( is_a_theorem(equiv(X0,implies(not(X0),X0)))
| ~ is_a_theorem(implies(X0,implies(not(X0),X0))) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f9874,f116]) ).
fof(f9942,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,implies(not(X0),X1)))
| ~ is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f9874,f541]) ).
fof(f10027,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,implies(not(X0),X1)))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f9942,f124]) ).
fof(f10028,plain,
( ! [X0] : is_a_theorem(equiv(X0,implies(not(X0),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f9940,f124]) ).
fof(f10030,plain,
( ! [X0] : implies(not(X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10028,f149]) ).
fof(f10146,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(not(X0),X1))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(superposition,[],[f132,f10030]) ).
fof(f10501,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f9890,f287]) ).
fof(f10629,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| X0 = X1 )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10501,f149]) ).
fof(f10649,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| implies(X1,X1) = X0 )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10629,f206]) ).
fof(f10835,plain,
( ! [X0,X1] : implies(X0,X0) = implies(X1,X1)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10649,f206]) ).
fof(f11403,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ is_a_theorem(X1) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(superposition,[],[f335,f10835]) ).
fof(f11865,definition,
( spl2_355
<=> ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2)) ),
introduced(definition,[new_symbols(definition,[spl2_355])],[avatar_definition]) ).
fof(f11866,plain,
( ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ spl2_355 ),
inference(avatar_component_clause,[],[f11865]) ).
fof(f11943,plain,
( spl2_29
| spl2_355
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11403,f156,f148,f131,f123,f115,f99,f91,f11865,f626]) ).
fof(f38290,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| implies(not(X1),X0) = X1 )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10027,f149]) ).
fof(f38743,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X1)
| implies(not(X0),not(X1)) = X0 )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f38290,f169]) ).
fof(f38812,plain,
( ! [X0,X1] : implies(not(X0),not(implies(X1,X1))) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f38743,f206]) ).
fof(f43966,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(implies(X0,X0),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(superposition,[],[f10146,f10030]) ).
fof(f44057,plain,
( ! [X0] :
( is_a_theorem(equiv(implies(implies(X0,X0),X0),X0))
| ~ is_a_theorem(implies(implies(implies(X0,X0),X0),X0)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f43966,f9874]) ).
fof(f44144,plain,
( ! [X0] : is_a_theorem(equiv(implies(implies(X0,X0),X0),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f44057,f11866]) ).
fof(f44224,plain,
( ! [X0] : implies(implies(X0,X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(resolution,[],[f44144,f149]) ).
fof(f44279,plain,
( ! [X0,X1] : implies(implies(X0,X0),X1) = X1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f44224,f10835]) ).
fof(f44987,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X1,X1),X2),implies(implies(X2,X0),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f132,f44279]) ).
fof(f45226,plain,
( ! [X2,X0] : is_a_theorem(implies(X2,implies(implies(X2,X0),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(forward_demodulation,[],[f44987,f44279]) ).
fof(f46169,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,not(implies(X1,X1)))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f45226,f38812]) ).
fof(f54338,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f46169,f38812]) ).
fof(f54394,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,not(X0)),not(X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(resolution,[],[f54338,f208]) ).
fof(f54406,plain,
( ! [X0] : implies(not(X0),not(not(X0))) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(resolution,[],[f54338,f38290]) ).
fof(f54879,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f54394,f54406]) ).
fof(f55017,plain,
( ! [X0] :
( is_a_theorem(equiv(not(not(X0)),X0))
| ~ is_a_theorem(implies(not(not(X0)),X0)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(resolution,[],[f54879,f9874]) ).
fof(f55092,plain,
( ! [X0] : is_a_theorem(equiv(not(not(X0)),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f55017,f54338]) ).
fof(f55108,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(resolution,[],[f55092,f149]) ).
fof(f55272,plain,
( ! [X0,X1] : and(X0,not(X1)) = not(implies(X0,X1))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f55108,f100]) ).
fof(f55438,plain,
( ! [X0,X1] : not(X0) = implies(X0,not(implies(X1,X1)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f38812,f55108]) ).
fof(f70809,plain,
( ! [X0,X1] : and(X1,X0) = not(implies(X1,not(X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f55272,f55108]) ).
fof(f72902,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,not(implies(X2,X2))),not(X0))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f132,f55438]) ).
fof(f73247,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),not(X0))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(forward_demodulation,[],[f72902,f55438]) ).
fof(f124402,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X1,not(X0)),implies(X0,not(X1))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f73247,f55108]) ).
fof(f145371,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(implies(X0,not(X1)),implies(X1,not(X0))))
| ~ is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(resolution,[],[f124402,f9874]) ).
fof(f145626,plain,
( ! [X0,X1] : is_a_theorem(equiv(implies(X0,not(X1)),implies(X1,not(X0))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f145371,f124402]) ).
fof(f168083,plain,
( ! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(resolution,[],[f145626,f149]) ).
fof(f169640,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,not(implies(X1,not(X0))))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(superposition,[],[f45226,f168083]) ).
fof(f170148,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,and(X1,X0))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(forward_demodulation,[],[f169640,f70809]) ).
fof(f171090,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(backward_subsumption_resolution,[],[f137,f170148]) ).
fof(f171245,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f171090]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f101]) ).
cnf(s4,plain,
( ~ spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f117]) ).
cnf(s5,plain,
( ~ spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
( ~ spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f133]) ).
cnf(s7,plain,
( ~ spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s8,plain,
( ~ spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f150]) ).
cnf(s9,plain,
( ~ spl2_17
| spl2_18 ),
inference(sat_conversion,[],[f158]) ).
cnf(s11,plain,
spl2_1,
inference(sat_conversion,[],[f160]) ).
cnf(s12,plain,
~ spl2_14,
inference(sat_conversion,[],[f161]) ).
cnf(s13,plain,
spl2_17,
inference(sat_conversion,[],[f162]) ).
cnf(s14,plain,
spl2_11,
inference(sat_conversion,[],[f163]) ).
cnf(s15,plain,
spl2_9,
inference(sat_conversion,[],[f164]) ).
cnf(s16,plain,
spl2_7,
inference(sat_conversion,[],[f165]) ).
cnf(s17,plain,
spl2_15,
inference(sat_conversion,[],[f166]) ).
cnf(s19,plain,
spl2_3,
inference(sat_conversion,[],[f167]) ).
cnf(s93,plain,
( ~ spl2_12
| ~ spl2_29 ),
inference(sat_conversion,[],[f1391]) ).
cnf(s1691,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_29
| spl2_355 ),
inference(sat_conversion,[],[f11943]) ).
cnf(s3920,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_355 ),
inference(sat_conversion,[],[f171245]) ).
cnf(s3921,plain,
spl2_18,
inference(rat,[],[s9,s13]) ).
cnf(s3922,plain,
spl2_16,
inference(rat,[],[s8,s17]) ).
cnf(s3923,plain,
~ spl2_13,
inference(rat,[],[s7,s12]) ).
cnf(s3925,plain,
spl2_12,
inference(rat,[],[s6,s14]) ).
cnf(s3926,plain,
~ spl2_29,
inference(rat,[],[s93,s3925]) ).
cnf(s3927,plain,
spl2_10,
inference(rat,[],[s5,s15]) ).
cnf(s3930,plain,
spl2_8,
inference(rat,[],[s4,s16]) ).
cnf(s3974,plain,
spl2_4,
inference(rat,[],[s2,s19]) ).
cnf(s3987,plain,
spl2_2,
inference(rat,[],[s1,s11]) ).
cnf(s3988,plain,
~ spl2_355,
inference(rat,[],[s3920,s3974,s3921,s3922,s3923,s3925,s3927,s3930,s3987]) ).
cnf(s4095,plain,
$false,
inference(rat,[],[s1691,s3974,s3926,s3921,s3922,s3925,s3927,s3930,s3988,s3987]) ).
fof(f171269,plain,
$false,
inference(avatar_sat_refutation,[],[s4095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL468+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:48:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 11.04/2.46 % (3693077)Detected formulas, will run a generic FOF schedule.
% 11.04/2.46 % (3693088)dis-21_1_sil=8000:lcm=predicate:random_seed=2312361763: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)
% 11.04/2.46 % (3693088)Refutation not found, incomplete strategy
% 11.04/2.46 % (3693088)------------------------------
% 11.04/2.46 % (3693088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.46 % (3693088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.46 % (3693088)CaDiCaL version: 2.1.3
% 11.04/2.46 % (3693088)Termination reason: Refutation not found, incomplete strategy
% 11.04/2.46 % (3693088)Time elapsed: 0.001 s
% 11.04/2.46 % (3693088)Peak memory usage: 88 MB
% 11.04/2.46 % (3693088)Instructions burned: 1 (million)
% 11.04/2.46 % (3693084)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=1737125809:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.04/2.46 % (3693085)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=270936102:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.04/2.46 % (3693086)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3535463246:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.04/2.46 % (3693083)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=10833033:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.04/2.46 % (3693082)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=452533052:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.04/2.46 % (3693087)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3167529795:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.04/2.46 % (3693086)Refutation not found, incomplete strategy
% 11.04/2.46 % (3693086)------------------------------
% 11.04/2.46 % (3693086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.46 % (3693086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.46 % (3693085)Refutation not found, incomplete strategy
% 11.04/2.46 % (3693085)------------------------------
% 11.04/2.46 % (3693085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.46 % (3693086)CaDiCaL version: 2.1.3
% 11.04/2.46 % (3693086)Termination reason: Refutation not found, incomplete strategy
% 11.04/2.46 % (3693086)Time elapsed: 0.001 s
% 11.04/2.46 % (3693085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.46 % (3693086)Peak memory usage: 86 MB
% 11.04/2.46 % (3693085)CaDiCaL version: 2.1.3
% 11.04/2.46 % (3693085)Termination reason: Refutation not found, incomplete strategy
% 11.04/2.46 % (3693085)Time elapsed: 0.001 s
% 11.04/2.46 % (3693085)Peak memory usage: 87 MB
% 11.04/2.46 % (3693087)Instruction limit reached!
% 11.04/2.46 % (3693087)------------------------------
% 11.04/2.46 % (3693087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.46 % (3693087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.46 % (3693087)CaDiCaL version: 2.1.3
% 11.04/2.46 % (3693087)Termination reason: Instruction limit
% 11.04/2.46 % (3693087)Termination phase: Saturation
% 11.04/2.46 % (3693087)Time elapsed: 0.095 s
% 11.04/2.46 % (3693087)Peak memory usage: 90 MB
% 11.04/2.46 % (3693087)Instructions burned: 140 (million)
% 11.04/2.46 % (3693088)------------------------------
% 11.04/2.46 % (3693088)------------------------------
% 11.04/2.46 % (3693097)lrs+10_1_sil=32000:urr=on:br=off:random_seed=10529346:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.04/2.46 % (3693097)Refutation not found, incomplete strategy
% 11.04/2.46 % (3693097)------------------------------
% 11.04/2.46 % (3693097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.46 % (3693097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.46 % (3693097)CaDiCaL version: 2.1.3
% 11.04/2.46 % (3693097)Termination reason: Refutation not found, incomplete strategy
% 11.04/2.46 % (3693097)Time elapsed: 0.0000 s
% 11.04/2.46 % (3693097)Peak memory usage: 87 MB
% 11.04/2.46 % (3693096)lrs+10_1_sil=8000:sp=occurrence:random_seed=1101192507:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.98/3.02 % (3693096)Refutation not found, incomplete strategy
% 13.98/3.02 % (3693096)------------------------------
% 13.98/3.02 % (3693096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/3.02 % (3693096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/3.02 % (3693096)CaDiCaL version: 2.1.3
% 13.98/3.02 % (3693096)Termination reason: Refutation not found, incomplete strategy
% 13.98/3.02 % (3693096)Time elapsed: 0.001 s
% 13.98/3.02 % (3693096)Peak memory usage: 87 MB
% 13.98/3.02 % (3693086)------------------------------
% 13.98/3.02 % (3693086)------------------------------
% 13.98/3.02 % (3693085)------------------------------
% 13.98/3.02 % (3693085)------------------------------
% 13.98/3.02 % (3693097)------------------------------
% 13.98/3.02 % (3693097)------------------------------
% 13.98/3.02 % (3693100)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1377231889:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.98/3.02 % (3693100)Refutation not found, incomplete strategy
% 13.98/3.02 % (3693100)------------------------------
% 13.98/3.02 % (3693100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/3.02 % (3693100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/3.02 % (3693100)CaDiCaL version: 2.1.3
% 13.98/3.02 % (3693100)Termination reason: Refutation not found, incomplete strategy
% 13.98/3.02 % (3693100)Time elapsed: 0.0000 s
% 13.98/3.02 % (3693100)Peak memory usage: 87 MB
% 13.98/3.02 % (3693101)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=3200744759:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.98/3.02 % (3693096)------------------------------
% 13.98/3.02 % (3693096)------------------------------
% 13.98/3.02 % (3693102)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3911997098:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 13.98/3.02 % (3693102)Refutation not found, incomplete strategy
% 13.98/3.02 % (3693102)------------------------------
% 13.98/3.02 % (3693102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/3.02 % (3693102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/3.02 % (3693102)CaDiCaL version: 2.1.3
% 13.98/3.02 % (3693102)Termination reason: Refutation not found, incomplete strategy
% 13.98/3.02 % (3693102)Time elapsed: 0.001 s
% 13.98/3.02 % (3693102)Peak memory usage: 87 MB
% 13.98/3.02 % (3693100)------------------------------
% 13.98/3.02 % (3693100)------------------------------
% 13.98/3.02 % (3693084)Refutation not found, incomplete strategy
% 13.98/3.02 % (3693084)------------------------------
% 13.98/3.02 % (3693084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/3.02 % (3693084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/3.02 % (3693084)CaDiCaL version: 2.1.3
% 13.98/3.02 % (3693084)Termination reason: Refutation not found, incomplete strategy
% 13.98/3.02 % (3693084)Time elapsed: 0.561 s
% 13.98/3.02 % (3693084)Peak memory usage: 126 MB
% 13.98/3.02 % (3693084)Instructions burned: 829 (million)
% 13.98/3.02 % (3693101)Instruction limit reached!
% 13.98/3.02 % (3693101)------------------------------
% 13.98/3.02 % (3693101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/3.02 % (3693101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/3.02 % (3693101)CaDiCaL version: 2.1.3
% 13.98/3.02 % (3693101)Termination reason: Instruction limit
% 13.98/3.02 % (3693101)Termination phase: Saturation
% 13.98/3.02 % (3693101)Time elapsed: 0.160 s
% 13.98/3.02 % (3693101)Peak memory usage: 92 MB
% 13.98/3.02 % (3693101)Instructions burned: 248 (million)
% 13.98/3.02 % (3693105)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2051484884:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 13.98/3.02 % (3693107)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3692256268:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 13.98/3.02 % (3693107)Refutation not found, incomplete strategy
% 13.98/3.02 % (3693107)------------------------------
% 13.98/3.02 % (3693107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.98/3.02 % (3693107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.98/3.02 % (3693107)CaDiCaL version: 2.1.3
% 13.98/3.02 % (3693107)Termination reason: Refutation not found, incomplete strategy
% 16.48/3.19 % (3693107)Time elapsed: 0.001 s
% 16.48/3.19 % (3693107)Peak memory usage: 88 MB
% 16.48/3.19 % (3693108)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=770546329:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 16.48/3.19 % (3693102)------------------------------
% 16.48/3.19 % (3693102)------------------------------
% 16.48/3.19 % (3693084)------------------------------
% 16.48/3.19 % (3693084)------------------------------
% 16.48/3.19 % (3693108)Instruction limit reached!
% 16.48/3.19 % (3693108)------------------------------
% 16.48/3.19 % (3693108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.19 % (3693108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.19 % (3693108)CaDiCaL version: 2.1.3
% 16.48/3.19 % (3693108)Termination reason: Instruction limit
% 16.48/3.19 % (3693108)Termination phase: Saturation
% 16.48/3.19 % (3693108)Time elapsed: 0.073 s
% 16.48/3.19 % (3693108)Peak memory usage: 89 MB
% 16.48/3.19 % (3693108)Instructions burned: 127 (million)
% 16.48/3.19 % (3693107)------------------------------
% 16.48/3.19 % (3693107)------------------------------
% 16.48/3.19 % (3693112)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4275491548:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 16.48/3.19 % (3693112)Refutation not found, incomplete strategy
% 16.48/3.19 % (3693112)------------------------------
% 16.48/3.19 % (3693112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.19 % (3693112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.19 % (3693112)CaDiCaL version: 2.1.3
% 16.48/3.19 % (3693112)Termination reason: Refutation not found, incomplete strategy
% 16.48/3.19 % (3693112)Time elapsed: 0.001 s
% 16.48/3.19 % (3693112)Peak memory usage: 87 MB
% 16.48/3.19 % (3693115)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3252598314:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 16.48/3.19 % (3693113)lrs+10_1_sil=8000:sp=occurrence:random_seed=3803210563:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 16.48/3.19 % (3693114)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3347237864:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 16.48/3.19 % (3693114)Refutation not found, incomplete strategy
% 16.48/3.19 % (3693114)------------------------------
% 16.48/3.19 % (3693114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.19 % (3693114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.19 % (3693114)CaDiCaL version: 2.1.3
% 16.48/3.19 % (3693114)Termination reason: Refutation not found, incomplete strategy
% 16.48/3.19 % (3693114)Time elapsed: 0.001 s
% 16.48/3.19 % (3693114)Peak memory usage: 88 MB
% 16.48/3.19 % (3693112)------------------------------
% 16.48/3.19 % (3693112)------------------------------
% 16.48/3.19 % (3693114)------------------------------
% 16.48/3.19 % (3693114)------------------------------
% 16.48/3.19 % (3693120)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1306366936:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 16.48/3.19 % (3693120)Refutation not found, incomplete strategy
% 16.48/3.19 % (3693120)------------------------------
% 16.48/3.19 % (3693120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.19 % (3693120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.19 % (3693120)CaDiCaL version: 2.1.3
% 16.48/3.19 % (3693120)Termination reason: Refutation not found, incomplete strategy
% 16.48/3.19 % (3693120)Time elapsed: 0.001 s
% 16.48/3.19 % (3693120)Peak memory usage: 89 MB
% 16.48/3.19 % (3693121)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1826466584:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 16.48/3.19 % (3693121)Refutation not found, incomplete strategy
% 16.48/3.19 % (3693121)------------------------------
% 16.48/3.19 % (3693121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.48/3.19 % (3693121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.48/3.19 % (3693121)CaDiCaL version: 2.1.3
% 16.48/3.19 % (3693121)Termination reason: Refutation not found, incomplete strategy
% 16.48/3.19 % (3693121)Time elapsed: 0.001 s
% 16.48/3.19 % (3693121)Peak memory usage: 88 MB
% 19.52/3.84 % (3693113)Instruction limit reached!
% 19.52/3.84 % (3693113)------------------------------
% 19.52/3.84 % (3693113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.52/3.84 % (3693113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.52/3.84 % (3693113)CaDiCaL version: 2.1.3
% 19.52/3.84 % (3693113)Termination reason: Instruction limit
% 19.52/3.84 % (3693113)Termination phase: Saturation
% 19.52/3.84 % (3693113)Time elapsed: 0.510 s
% 19.52/3.84 % (3693113)Peak memory usage: 99 MB
% 19.52/3.84 % (3693113)Instructions burned: 908 (million)
% 19.52/3.84 % (3693120)------------------------------
% 19.52/3.84 % (3693120)------------------------------
% 19.52/3.84 % (3693124)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3871092343:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 19.52/3.84 % (3693121)------------------------------
% 19.52/3.84 % (3693121)------------------------------
% 19.52/3.84 % (3693125)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=495324986:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 19.52/3.84 % (3693125)Refutation not found, incomplete strategy
% 19.52/3.84 % (3693125)------------------------------
% 19.52/3.84 % (3693125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.52/3.84 % (3693125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.52/3.84 % (3693125)CaDiCaL version: 2.1.3
% 19.52/3.84 % (3693125)Termination reason: Refutation not found, incomplete strategy
% 19.52/3.84 % (3693125)Time elapsed: 0.001 s
% 19.52/3.84 % (3693125)Peak memory usage: 87 MB
% 19.52/3.84 % (3693127)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=773212031:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 19.52/3.84 % (3693127)Instruction limit reached!
% 19.52/3.84 % (3693127)------------------------------
% 19.52/3.84 % (3693127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.52/3.84 % (3693127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.52/3.84 % (3693127)CaDiCaL version: 2.1.3
% 19.52/3.84 % (3693127)Termination reason: Instruction limit
% 19.52/3.84 % (3693127)Termination phase: Saturation
% 19.52/3.84 % (3693127)Time elapsed: 0.093 s
% 19.52/3.84 % (3693127)Peak memory usage: 90 MB
% 19.52/3.84 % (3693127)Instructions burned: 134 (million)
% 19.52/3.84 % (3693125)------------------------------
% 19.52/3.84 % (3693125)------------------------------
% 19.52/3.84 [W927 15:48:25.495369799 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.
% 19.52/3.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.52/3.84 [W927 15:48:25.495416470 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.
% 19.52/3.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.52/3.84 [W927 15:48:25.495454023 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.
% 19.52/3.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.52/3.84 [W927 15:48:25.495464523 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.
% 19.52/3.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.52/3.84 [W927 15:48:25.495488930 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.
% 19.52/3.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.52/3.84 [W927 15:48:25.495499407 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.
% 32.87/5.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.87/5.56 [W927 15:48:25.495524257 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.
% 32.87/5.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.87/5.56 [W927 15:48:25.495534814 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.
% 32.87/5.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.87/5.56 [W927 15:48:25.495559251 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.
% 32.87/5.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.87/5.56 [W927 15:48:25.495570044 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.
% 32.87/5.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.87/5.56 [W927 15:48:25.495594521 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.
% 32.87/5.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.87/5.56 [W927 15:48:25.495605058 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.
% 32.87/5.56 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.87/5.56 % (3693130)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2237075140:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 32.87/5.56 % (3693130)Refutation not found, incomplete strategy
% 32.87/5.56 % (3693130)------------------------------
% 32.87/5.56 % (3693130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.56 % (3693130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.56 % (3693130)CaDiCaL version: 2.1.3
% 32.87/5.56 % (3693130)Termination reason: Refutation not found, incomplete strategy
% 32.87/5.56 % (3693130)Time elapsed: 0.001 s
% 32.87/5.56 % (3693130)Peak memory usage: 87 MB
% 32.87/5.56 % (3693105)Instruction limit reached!
% 32.87/5.56 % (3693105)------------------------------
% 32.87/5.56 % (3693105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.56 % (3693105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.56 % (3693105)CaDiCaL version: 2.1.3
% 32.87/5.56 % (3693105)Termination reason: Instruction limit
% 32.87/5.56 % (3693105)Termination phase: Saturation
% 32.87/5.56 % (3693105)Time elapsed: 1.496 s
% 32.87/5.56 % (3693105)Peak memory usage: 141 MB
% 32.87/5.56 % (3693105)Instructions burned: 2350 (million)
% 32.87/5.56 % (3693131)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3718914911:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 32.87/5.56 % (3693131)Refutation not found, incomplete strategy
% 32.87/5.56 % (3693131)------------------------------
% 32.87/5.56 % (3693131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.56 % (3693131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.56 % (3693131)CaDiCaL version: 2.1.3
% 32.87/5.56 % (3693131)Termination reason: Refutation not found, incomplete strategy
% 32.87/5.56 % (3693131)Time elapsed: 0.001 s
% 32.87/5.56 % (3693131)Peak memory usage: 87 MB
% 32.87/5.56 % (3693124)Refutation not found, incomplete strategy
% 32.87/5.56 % (3693124)------------------------------
% 32.87/5.56 % (3693124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.56 % (3693124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.15/6.12 % (3693124)CaDiCaL version: 2.1.3
% 37.15/6.12 % (3693124)Termination reason: Refutation not found, incomplete strategy
% 37.15/6.12 % (3693124)Time elapsed: 0.556 s
% 37.15/6.12 % (3693124)Peak memory usage: 125 MB
% 37.15/6.12 % (3693124)Instructions burned: 827 (million)
% 37.15/6.12 % (3693130)------------------------------
% 37.15/6.12 % (3693130)------------------------------
% 37.15/6.12 % (3693133)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3137364430:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 37.15/6.12 % (3693131)------------------------------
% 37.15/6.12 % (3693131)------------------------------
% 37.15/6.12 % (3693124)------------------------------
% 37.15/6.12 % (3693124)------------------------------
% 37.15/6.12 % (3693135)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3201953114:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 37.15/6.12 % (3693135)Instruction limit reached!
% 37.15/6.12 % (3693135)------------------------------
% 37.15/6.12 % (3693135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.15/6.12 % (3693135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.15/6.12 % (3693135)CaDiCaL version: 2.1.3
% 37.15/6.12 % (3693135)Termination reason: Instruction limit
% 37.15/6.12 % (3693135)Termination phase: Saturation
% 37.15/6.12 % (3693135)Time elapsed: 0.093 s
% 37.15/6.12 % (3693135)Peak memory usage: 90 MB
% 37.15/6.12 % (3693135)Instructions burned: 150 (million)
% 37.15/6.12 % (3693115)Instruction limit reached!
% 37.15/6.12 % (3693115)------------------------------
% 37.15/6.12 % (3693115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.15/6.12 % (3693115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.15/6.12 % (3693115)CaDiCaL version: 2.1.3
% 37.15/6.12 % (3693115)Termination reason: Instruction limit
% 37.15/6.12 % (3693115)Termination phase: Saturation
% 37.15/6.12 % (3693115)Time elapsed: 1.619 s
% 37.15/6.12 % (3693115)Peak memory usage: 172 MB
% 37.15/6.12 % (3693115)Instructions burned: 5204 (million)
% 37.15/6.12 % (3693137)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2609999818:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 37.15/6.12 % (3693138)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1653308723:i=667:av=off:fsr=off_2973 on theBenchmark for (2973ds/667Mi)
% 37.15/6.12 % (3693138)Refutation not found, incomplete strategy
% 37.15/6.12 % (3693138)------------------------------
% 37.15/6.12 % (3693138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.15/6.12 % (3693138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.15/6.12 % (3693138)CaDiCaL version: 2.1.3
% 37.15/6.12 % (3693138)Termination reason: Refutation not found, incomplete strategy
% 37.15/6.12 % (3693138)Time elapsed: 0.001 s
% 37.15/6.12 % (3693138)Peak memory usage: 88 MB
% 37.15/6.12 % (3693142)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1380481318:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2972 on theBenchmark for (2972ds/193Mi)
% 37.15/6.12 % (3693142)Refutation not found, incomplete strategy
% 37.15/6.12 % (3693142)------------------------------
% 37.15/6.12 % (3693142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.15/6.12 % (3693142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.15/6.12 % (3693142)CaDiCaL version: 2.1.3
% 37.15/6.12 % (3693142)Termination reason: Refutation not found, incomplete strategy
% 37.15/6.12 % (3693142)Time elapsed: 0.0000 s
% 37.15/6.12 % (3693142)Peak memory usage: 87 MB
% 37.15/6.12 % (3693140)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2208838646:s2a=on:i=185:s2at=1.8:fdi=4_2972 on theBenchmark for (2972ds/185Mi)
% 37.15/6.12 % (3693140)Instruction limit reached!
% 37.15/6.12 % (3693140)------------------------------
% 37.15/6.12 % (3693140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.15/6.12 % (3693140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.15/6.12 % (3693140)CaDiCaL version: 2.1.3
% 37.15/6.12 % (3693140)Termination reason: Instruction limit
% 37.15/6.12 % (3693140)Termination phase: Saturation
% 47.28/7.63 % (3693140)Time elapsed: 0.119 s
% 47.28/7.63 % (3693140)Peak memory usage: 91 MB
% 47.28/7.63 % (3693140)Instructions burned: 185 (million)
% 47.28/7.63 % (3693142)------------------------------
% 47.28/7.63 % (3693142)------------------------------
% 47.28/7.63 % (3693138)------------------------------
% 47.28/7.63 % (3693138)------------------------------
% 47.28/7.63 % (3693147)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1349960055:i=12111:sd=1:ss=included_2969 on theBenchmark for (2969ds/12111Mi)
% 47.28/7.63 % (3693146)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1666152347:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2969 on theBenchmark for (2969ds/4850Mi)
% 47.28/7.63 % (3693146)Refutation not found, incomplete strategy
% 47.28/7.63 % (3693146)------------------------------
% 47.28/7.63 % (3693146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.28/7.63 % (3693146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.28/7.63 % (3693146)CaDiCaL version: 2.1.3
% 47.28/7.63 % (3693146)Termination reason: Refutation not found, incomplete strategy
% 47.28/7.63 % (3693146)Time elapsed: 0.001 s
% 47.28/7.63 % (3693146)Peak memory usage: 88 MB
% 47.28/7.63 % (3693148)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2258394098:i=319:kws=precedence:fsr=off_2969 on theBenchmark for (2969ds/319Mi)
% 47.28/7.63 % (3693148)Instruction limit reached!
% 47.28/7.63 % (3693148)------------------------------
% 47.28/7.63 % (3693148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.28/7.63 % (3693148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.28/7.63 % (3693148)CaDiCaL version: 2.1.3
% 47.28/7.63 % (3693148)Termination reason: Instruction limit
% 47.28/7.63 % (3693148)Termination phase: Saturation
% 47.28/7.63 % (3693148)Time elapsed: 0.219 s
% 47.28/7.63 % (3693148)Peak memory usage: 93 MB
% 47.28/7.63 % (3693148)Instructions burned: 320 (million)
% 47.28/7.63 % (3693146)------------------------------
% 47.28/7.63 % (3693146)------------------------------
% 47.28/7.63 % (3693152)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2094311503:i=2064:ep=RST_2966 on theBenchmark for (2966ds/2064Mi)
% 47.28/7.63 % (3693152)Refutation not found, incomplete strategy
% 47.28/7.63 % (3693152)------------------------------
% 47.28/7.63 % (3693152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.28/7.63 % (3693152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.28/7.63 % (3693152)CaDiCaL version: 2.1.3
% 47.28/7.63 % (3693152)Termination reason: Refutation not found, incomplete strategy
% 47.28/7.63 % (3693152)Time elapsed: 0.001 s
% 47.28/7.63 % (3693152)Peak memory usage: 88 MB
% 47.28/7.63 % (3693152)Instructions burned: 1 (million)
% 47.28/7.63 % (3693153)dis-1011_128_sil=32000:random_seed=3792332070:i=3706:ep=RST:av=off_2965 on theBenchmark for (2965ds/3706Mi)
% 47.28/7.63 % (3693152)------------------------------
% 47.28/7.63 % (3693152)------------------------------
% 47.28/7.63 % (3693156)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2230269180:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2962 on theBenchmark for (2962ds/757Mi)
% 47.28/7.63 % (3693156)Refutation not found, incomplete strategy
% 47.28/7.63 % (3693156)------------------------------
% 47.28/7.63 % (3693156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.28/7.63 % (3693156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.28/7.63 % (3693156)CaDiCaL version: 2.1.3
% 47.28/7.63 % (3693156)Termination reason: Refutation not found, incomplete strategy
% 47.28/7.63 % (3693156)Time elapsed: 0.001 s
% 47.28/7.63 % (3693156)Peak memory usage: 87 MB
% 47.28/7.63 % (3693156)------------------------------
% 47.28/7.63 % (3693156)------------------------------
% 47.28/7.63 % (3693158)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2865787854:i=13913:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/13913Mi)
% 47.28/7.63 [W927 15:48:27.033501491 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 47.28/7.63 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 47.28/7.63 [W927 15:48:27.033547788 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033584495 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033596362 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033621979 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033632762 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033657195 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033667989 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033691666 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033702486 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033726166 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 [W927 15:48:27.033736923 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.
% 48.10/7.80 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 48.10/7.80 % (3693158)Refutation not found, incomplete strategy
% 48.10/7.80 % (3693158)------------------------------
% 48.10/7.80 % (3693158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.10/7.80 % (3693158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.10/7.80 % (3693158)CaDiCaL version: 2.1.3
% 48.10/7.80 % (3693158)Termination reason: Refutation not found, incomplete strategy
% 48.10/7.80 % (3693158)Time elapsed: 0.540 s
% 48.10/7.80 % (3693158)Peak memory usage: 126 MB
% 48.10/7.80 % (3693158)Instructions burned: 825 (million)
% 48.10/7.80 % (3693158)------------------------------
% 48.10/7.80 % (3693158)------------------------------
% 48.10/7.80 % (3693160)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1817003543:i=9925:aac=none_2948 on theBenchmark for (2948ds/9925Mi)
% 63.70/9.96 % (3693133)Instruction limit reached!
% 63.70/9.96 % (3693133)------------------------------
% 63.70/9.96 % (3693133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.70/9.96 % (3693133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.70/9.96 % (3693133)CaDiCaL version: 2.1.3
% 63.70/9.96 % (3693133)Termination reason: Instruction limit
% 63.70/9.96 % (3693133)Termination phase: Saturation
% 63.70/9.96 % (3693133)Time elapsed: 3.338 s
% 63.70/9.96 % (3693133)Peak memory usage: 143 MB
% 63.70/9.96 % (3693133)Instructions burned: 6061 (million)
% 63.70/9.96 % (3693153)Instruction limit reached!
% 63.70/9.96 % (3693153)------------------------------
% 63.70/9.96 % (3693153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.70/9.96 % (3693153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.70/9.96 % (3693153)CaDiCaL version: 2.1.3
% 63.70/9.96 % (3693153)Termination reason: Instruction limit
% 63.70/9.96 % (3693153)Termination phase: Saturation
% 63.70/9.96 % (3693153)Time elapsed: 2.338 s
% 63.70/9.96 % (3693153)Peak memory usage: 123 MB
% 63.70/9.96 % (3693153)Instructions burned: 3707 (million)
% 63.70/9.96 % (3693162)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2215156564:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2941 on theBenchmark for (2941ds/2479Mi)
% 63.70/9.96 % (3693162)Refutation not found, incomplete strategy
% 63.70/9.96 % (3693162)------------------------------
% 63.70/9.96 % (3693162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.70/9.96 % (3693162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.70/9.96 % (3693162)CaDiCaL version: 2.1.3
% 63.70/9.96 % (3693162)Termination reason: Refutation not found, incomplete strategy
% 63.70/9.96 % (3693162)Time elapsed: 0.001 s
% 63.70/9.96 % (3693162)Peak memory usage: 87 MB
% 63.70/9.96 % (3693163)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2649742750:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2940 on theBenchmark for (2940ds/440Mi)
% 63.70/9.96 % (3693162)------------------------------
% 63.70/9.96 % (3693162)------------------------------
% 63.70/9.96 % (3693163)Instruction limit reached!
% 63.70/9.96 % (3693163)------------------------------
% 63.70/9.96 % (3693163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.70/9.96 % (3693163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.70/9.96 % (3693163)CaDiCaL version: 2.1.3
% 63.70/9.96 % (3693163)Termination reason: Instruction limit
% 63.70/9.96 % (3693163)Termination phase: Saturation
% 63.70/9.96 % (3693163)Time elapsed: 0.245 s
% 63.70/9.96 % (3693163)Peak memory usage: 95 MB
% 63.70/9.96 % (3693163)Instructions burned: 441 (million)
% 63.70/9.96 % (3693166)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2632603522:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2937 on theBenchmark for (2937ds/11145Mi)
% 63.70/9.96 % (3693167)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=154654385:cts=off:i=3034:av=off:er=known:fsd=on_2936 on theBenchmark for (2936ds/3034Mi)
% 63.70/9.96 % (3693147)Instruction limit reached!
% 63.70/9.96 % (3693147)------------------------------
% 63.70/9.96 % (3693147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.70/9.96 % (3693147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.70/9.96 % (3693147)CaDiCaL version: 2.1.3
% 63.70/9.96 % (3693147)Termination reason: Instruction limit
% 63.70/9.96 % (3693147)Termination phase: Saturation
% 63.70/9.96 % (3693147)Time elapsed: 3.555 s
% 63.70/9.96 % (3693147)Peak memory usage: 264 MB
% 63.70/9.96 % (3693147)Instructions burned: 12115 (million)
% 63.70/9.96 [W927 15:48:29.106354306 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106387766 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106425420 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106437113 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106462160 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106472110 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106496607 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106506490 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106529637 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106539501 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106563247 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 [W927 15:48:29.106573354 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.
% 63.70/9.96 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.70/9.96 % (3693170)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3818281761:st=2:s2a=on:i=524:s2at=2:ss=axioms_2933 on theBenchmark for (2933ds/524Mi)
% 63.70/9.96 % (3693170)Refutation not found, incomplete strategy
% 63.70/9.96 % (3693170)------------------------------
% 63.70/9.96 % (3693170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.70/9.96 % (3693170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.70/9.96 % (3693170)CaDiCaL version: 2.1.3
% 63.70/9.96 % (3693170)Termination reason: Refutation not found, incomplete strategy
% 63.70/9.96 % (3693170)Time elapsed: 0.0000 s
% 63.70/9.96 % (3693170)Peak memory usage: 87 MB
% 63.70/9.96 % (3693170)------------------------------
% 63.70/9.96 % (3693170)------------------------------
% 63.70/9.96 % (3693166)Refutation not found, incomplete strategy
% 63.70/9.96 % (3693166)------------------------------
% 63.70/9.96 % (3693166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.70/9.96 % (3693166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.70/9.96 % (3693166)CaDiCaL version: 2.1.3
% 63.70/9.96 % (3693166)Termination reason: Refutation not found, incomplete strategy
% 63.70/9.96 % (3693166)Time elapsed: 0.552 s
% 63.70/9.96 % (3693166)Peak memory usage: 125 MB
% 63.70/9.96 % (3693166)Instructions burned: 827 (million)
% 63.70/9.96 % (3693172)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=871550146:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2930 on theBenchmark for (2930ds/1016Mi)
% 63.70/9.96 % (3693172)Refutation not found, incomplete strategy
% 63.70/9.96 % (3693172)------------------------------
% 63.70/9.96 % (3693172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.70/9.96 % (3693172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.70/9.96 % (3693172)CaDiCaL version: 2.1.3
% 63.70/9.96 % (3693172)Termination reason: Refutation not found, incomplete strategy
% 63.70/9.96 % (3693172)Time elapsed: 0.0000 s
% 63.70/9.96 % (3693172)Peak memory usage: 87 MB
% 63.70/9.96 % (3693166)------------------------------
% 63.70/9.96 % (3693166)------------------------------
% 63.70/9.96 % (3693172)------------------------------
% 63.70/9.96 % (3693172)------------------------------
% 63.70/9.96 % (3693175)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1156519295:i=5781:kws=precedence:bd=all:rawr=on_2927 on theBenchmark for (2927ds/5781Mi)
% 63.70/9.96 % (3693174)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3017154340:i=14123:bd=preordered:ins=4_2927 on theBenchmark for (2927ds/14123Mi)
% 63.70/9.96 % (3693167)Instruction limit reached!
% 63.70/9.96 % (3693167)------------------------------
% 63.70/9.96 % (3693167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.70/9.96 % (3693167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.70/9.96 % (3693167)CaDiCaL version: 2.1.3
% 63.70/9.96 % (3693167)Termination reason: Instruction limit
% 63.70/9.96 % (3693167)Termination phase: Saturation
% 63.70/9.96 % (3693167)Time elapsed: 1.709 s
% 63.70/9.96 % (3693167)Peak memory usage: 145 MB
% 63.70/9.96 % (3693167)Instructions burned: 3036 (million)
% 63.70/9.96 % (3693178)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3974795301:i=2448:gtgl=5:bd=preordered:gtg=all_2918 on theBenchmark for (2918ds/2448Mi)
% 63.70/9.96 % (3693175)First to succeed.
% 63.70/9.96 % (3693175)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3693077"
% 63.70/9.96 % (3693175)Refutation found. Thanks to Tanya!
% 63.70/9.96 % SZS status Theorem for theBenchmark
% 63.70/9.96 % SZS output start Proof for theBenchmark
% See solution above
% 65.09/10.15 % (3693175)------------------------------
% 65.09/10.15 % (3693175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.09/10.15 % (3693175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.09/10.15 % (3693175)CaDiCaL version: 2.1.3
% 65.09/10.15 % (3693175)Termination reason: Refutation
% 65.09/10.15 % (3693175)Time elapsed: 1.571 s
% 65.09/10.15 % (3693175)Peak memory usage: 149 MB
% 65.09/10.15 % (3693175)Instructions burned: 4765 (million)
% 65.09/10.15 % (3693175)------------------------------
% 65.09/10.15 % (3693175)------------------------------
% 65.09/10.15 % (3693077)Success in time 9.117 s
% 65.09/10.15 % Vampire exiting
%------------------------------------------------------------------------------