%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL467+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 83.43s 16.15s
% Output : Refutation 110.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 35
% Syntax : Number of formulae : 201 ( 47 unt; 19 def)
% Number of atoms : 807 ( 28 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1179 ( 573 ~; 567 |; 2 &)
% ( 25 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 30 ( 28 usr; 28 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 231 ( 0 sgn 229 !; 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/sandbox/benchmark/theBenchmark.p',modus_ponens) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f8,axiom,
( and_2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_2) ).
fof(f19,axiom,
( cn1
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn1) ).
fof(f20,axiom,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn2) ).
fof(f21,axiom,
( cn3
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn3) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_equiv) ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_op_equiv) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_modus_ponens) ).
fof(f36,axiom,
cn1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn1) ).
fof(f37,axiom,
cn2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn2) ).
fof(f38,axiom,
cn3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn3) ).
fof(f39,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f41,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f43,conjecture,
and_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_2) ).
fof(f44,negated_conjecture,
~ and_2,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ and_2,
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(and(X0,X1),X1))
=> and_2 ),
inference(unused_predicate_definition_removal,[],[f8]) ).
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_2
| ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),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_2
| ~ is_a_theorem(implies(and(sK0,sK1),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_2
| ~ is_a_theorem(implies(and(sK0,sK1),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_2,
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(and(sK0,sK1),sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f137,plain,
( ~ is_a_theorem(implies(and(sK0,sK1),sK1))
| spl2_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl2_14
<=> and_2 ),
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_17,
inference(avatar_split_clause,[],[f77,f152]) ).
fof(f162,plain,
spl2_11,
inference(avatar_split_clause,[],[f78,f127]) ).
fof(f163,plain,
spl2_9,
inference(avatar_split_clause,[],[f79,f119]) ).
fof(f164,plain,
spl2_7,
inference(avatar_split_clause,[],[f80,f111]) ).
fof(f165,plain,
spl2_15,
inference(avatar_split_clause,[],[f81,f144]) ).
fof(f166,plain,
~ spl2_14,
inference(avatar_split_clause,[],[f85,f139]) ).
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(f182,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(and(X0,not(X1)),implies(implies(X0,X1),X2)))
| ~ spl2_4
| ~ spl2_10 ),
inference(superposition,[],[f124,f100]) ).
fof(f190,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(f191,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,[],[f190,f157]) ).
fof(f192,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,[],[f191,f124]) ).
fof(f193,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,[],[f191,f116]) ).
fof(f199,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,[],[f192,f157]) ).
fof(f202,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f193,f124]) ).
fof(f204,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,[],[f193,f190]) ).
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,[],[f199,f124]) ).
fof(f249,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,[],[f204,f169]) ).
fof(f256,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,[],[f249,f191]) ).
fof(f286,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f256,f124]) ).
fof(f301,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,[],[f286,f193]) ).
fof(f308,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,[],[f286,f204]) ).
fof(f312,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,[],[f308,f191]) ).
fof(f321,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,[],[f301,f220]) ).
fof(f334,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,[],[f321,f204]) ).
fof(f433,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,[],[f312,f192]) ).
fof(f436,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,[],[f312,f132]) ).
fof(f476,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,[],[f433,f308]) ).
fof(f505,definition,
( spl2_25
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
fof(f506,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f581,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,[],[f436,f193]) ).
fof(f1548,plain,
( $false
| ~ spl2_12
| ~ spl2_25 ),
inference(backward_subsumption_resolution,[],[f132,f506]) ).
fof(f1571,plain,
( ~ spl2_12
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f1548]) ).
fof(f9079,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,f476]) ).
fof(f9176,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,[],[f9079,f100]) ).
fof(f9747,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,[],[f9176,f92]) ).
fof(f9762,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,[],[f9747,f286]) ).
fof(f9812,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,[],[f9747,f116]) ).
fof(f9814,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,[],[f9747,f581]) ).
fof(f9899,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,[],[f9814,f124]) ).
fof(f9900,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,[],[f9812,f124]) ).
fof(f9903,plain,
( ! [X0] : implies(not(X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f9900,f149]) ).
fof(f9998,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,f9903]) ).
fof(f10396,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,[],[f9762,f286]) ).
fof(f10524,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,[],[f10396,f149]) ).
fof(f10550,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,[],[f10524,f202]) ).
fof(f10715,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,[],[f10550,f202]) ).
fof(f11154,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X1,implies(X0,X0)))
| ~ is_a_theorem(X2) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(superposition,[],[f321,f10715]) ).
fof(f11155,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,[],[f334,f10715]) ).
fof(f11724,definition,
( spl2_332
<=> ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[spl2_332])],[avatar_definition]) ).
fof(f11725,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0)))
| ~ spl2_332 ),
inference(avatar_component_clause,[],[f11724]) ).
fof(f11804,definition,
( spl2_345
<=> ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2)) ),
introduced(definition,[new_symbols(definition,[spl2_345])],[avatar_definition]) ).
fof(f11805,plain,
( ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ spl2_345 ),
inference(avatar_component_clause,[],[f11804]) ).
fof(f11873,plain,
( spl2_25
| spl2_345
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11155,f156,f148,f131,f123,f115,f99,f91,f11804,f505]) ).
fof(f11874,plain,
( spl2_25
| spl2_332
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11154,f156,f148,f131,f123,f115,f99,f91,f11724,f505]) ).
fof(f38513,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,[],[f9899,f149]) ).
fof(f38965,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,[],[f38513,f169]) ).
fof(f39034,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,[],[f38965,f202]) ).
fof(f44331,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,[],[f9998,f9903]) ).
fof(f44422,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,[],[f44331,f9747]) ).
fof(f44509,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_345 ),
inference(forward_subsumption_resolution,[],[f44422,f11805]) ).
fof(f44631,plain,
( ! [X0] : implies(implies(X0,X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345 ),
inference(resolution,[],[f44509,f149]) ).
fof(f44687,plain,
( ! [X0,X1] : implies(implies(X0,X0),X1) = X1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345 ),
inference(superposition,[],[f44631,f10715]) ).
fof(f44736,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ is_a_theorem(implies(X1,implies(X0,X0))) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345 ),
inference(superposition,[],[f190,f44631]) ).
fof(f44991,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f44736,f11725]) ).
fof(f45037,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,not(X1)),X1),X1))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(resolution,[],[f44991,f204]) ).
fof(f45378,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_345 ),
inference(superposition,[],[f132,f44687]) ).
fof(f45675,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_345 ),
inference(forward_demodulation,[],[f45378,f44687]) ).
fof(f46628,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_345 ),
inference(superposition,[],[f45675,f39034]) ).
fof(f49023,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,implies(implies(X1,not(X0)),X0)))
| ~ is_a_theorem(implies(X0,implies(implies(X1,not(X0)),X0))) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(resolution,[],[f45037,f9747]) ).
fof(f49136,plain,
( ! [X0,X1] : is_a_theorem(equiv(X0,implies(implies(X1,not(X0)),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f49023,f44991]) ).
fof(f51674,plain,
( ! [X0,X1] : implies(implies(X1,not(X0)),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(resolution,[],[f49136,f149]) ).
fof(f51916,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,not(not(X0))),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(superposition,[],[f182,f51674]) ).
fof(f54898,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_345 ),
inference(superposition,[],[f46628,f39034]) ).
fof(f55022,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_345 ),
inference(resolution,[],[f54898,f204]) ).
fof(f55034,plain,
( ! [X0] : implies(not(X0),not(not(X0))) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345 ),
inference(resolution,[],[f54898,f38513]) ).
fof(f55426,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_345 ),
inference(superposition,[],[f55022,f55034]) ).
fof(f55671,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_345 ),
inference(resolution,[],[f55426,f9747]) ).
fof(f55746,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_345 ),
inference(forward_subsumption_resolution,[],[f55671,f54898]) ).
fof(f55762,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345 ),
inference(resolution,[],[f55746,f149]) ).
fof(f55887,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(backward_demodulation,[],[f51916,f55762]) ).
fof(f56275,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(backward_subsumption_resolution,[],[f137,f55887]) ).
fof(f56337,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(avatar_contradiction_clause,[],[f56275]) ).
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_17,
inference(sat_conversion,[],[f161]) ).
cnf(s13,plain,
spl2_11,
inference(sat_conversion,[],[f162]) ).
cnf(s14,plain,
spl2_9,
inference(sat_conversion,[],[f163]) ).
cnf(s15,plain,
spl2_7,
inference(sat_conversion,[],[f164]) ).
cnf(s16,plain,
spl2_15,
inference(sat_conversion,[],[f165]) ).
cnf(s18,plain,
~ spl2_14,
inference(sat_conversion,[],[f166]) ).
cnf(s19,plain,
spl2_3,
inference(sat_conversion,[],[f167]) ).
cnf(s90,plain,
( ~ spl2_12
| ~ spl2_25 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s1436,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_25
| spl2_345 ),
inference(sat_conversion,[],[f11873]) ).
cnf(s1437,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_25
| spl2_332 ),
inference(sat_conversion,[],[f11874]) ).
cnf(s2539,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_332
| ~ spl2_345 ),
inference(sat_conversion,[],[f56337]) ).
cnf(s2541,plain,
spl2_18,
inference(rat,[],[s9,s12]) ).
cnf(s2542,plain,
spl2_16,
inference(rat,[],[s8,s16]) ).
cnf(s2543,plain,
~ spl2_13,
inference(rat,[],[s7,s18]) ).
cnf(s2545,plain,
spl2_12,
inference(rat,[],[s6,s13]) ).
cnf(s2546,plain,
~ spl2_25,
inference(rat,[],[s90,s2545]) ).
cnf(s2547,plain,
spl2_10,
inference(rat,[],[s5,s14]) ).
cnf(s2550,plain,
spl2_8,
inference(rat,[],[s4,s15]) ).
cnf(s2594,plain,
spl2_4,
inference(rat,[],[s2,s19]) ).
cnf(s2607,plain,
spl2_2,
inference(rat,[],[s1,s11]) ).
cnf(s2709,plain,
spl2_332,
inference(rat,[],[s1437,s2594,s2546,s2541,s2542,s2545,s2547,s2550,s2607]) ).
cnf(s2710,plain,
spl2_345,
inference(rat,[],[s1436,s2594,s2546,s2541,s2542,s2545,s2547,s2550,s2607]) ).
cnf(s2812,plain,
$false,
inference(rat,[],[s2539,s2607,s2594,s2541,s2542,s2543,s2545,s2547,s2550,s2710,s2709]) ).
fof(f56344,plain,
$false,
inference(avatar_sat_refutation,[],[s2812]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL467+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n020.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 15:49:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.31/3.16 % (3563134)Detected formulas, will run a generic FOF schedule.
% 17.31/3.16 % (3563205)dis-21_1_sil=8000:lcm=predicate:random_seed=3817404589: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)
% 17.31/3.16 % (3563205)Refutation not found, incomplete strategy
% 17.31/3.16 % (3563205)------------------------------
% 17.31/3.16 % (3563205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.16 % (3563205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.16 % (3563205)CaDiCaL version: 2.1.3
% 17.31/3.16 % (3563205)Termination reason: Refutation not found, incomplete strategy
% 17.31/3.16 % (3563205)Time elapsed: 0.001 s
% 17.31/3.16 % (3563205)Peak memory usage: 88 MB
% 17.31/3.16 % (3563205)Instructions burned: 1 (million)
% 17.31/3.16 % (3563201)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3318861126:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.31/3.16 % (3563197)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=2925723787:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.31/3.16 % (3563200)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=504385886:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.31/3.16 % (3563199)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=1924792920:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.31/3.16 % (3563201)Refutation not found, incomplete strategy
% 17.31/3.16 % (3563201)------------------------------
% 17.31/3.16 % (3563201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.16 % (3563201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.16 % (3563201)CaDiCaL version: 2.1.3
% 17.31/3.16 % (3563201)Termination reason: Refutation not found, incomplete strategy
% 17.31/3.16 % (3563201)Time elapsed: 0.001 s
% 17.31/3.16 % (3563201)Peak memory usage: 87 MB
% 17.31/3.16 % (3563202)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3642326055:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.31/3.16 % (3563202)Refutation not found, incomplete strategy
% 17.31/3.16 % (3563202)------------------------------
% 17.31/3.16 % (3563202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.16 % (3563202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.16 % (3563202)CaDiCaL version: 2.1.3
% 17.31/3.16 % (3563202)Termination reason: Refutation not found, incomplete strategy
% 17.31/3.16 % (3563202)Time elapsed: 0.001 s
% 17.31/3.16 % (3563202)Peak memory usage: 87 MB
% 17.31/3.16 % (3563203)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2119717375:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.31/3.16 % (3563203)Instruction limit reached!
% 17.31/3.16 % (3563203)------------------------------
% 17.31/3.16 % (3563203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.16 % (3563203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.16 % (3563203)CaDiCaL version: 2.1.3
% 17.31/3.16 % (3563203)Termination reason: Instruction limit
% 17.31/3.16 % (3563203)Termination phase: Saturation
% 17.31/3.16 % (3563203)Time elapsed: 0.093 s
% 17.31/3.16 % (3563203)Peak memory usage: 90 MB
% 17.31/3.16 % (3563203)Instructions burned: 139 (million)
% 17.31/3.16 % (3563205)------------------------------
% 17.31/3.16 % (3563205)------------------------------
% 17.31/3.16 % (3563222)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2040433212:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.31/3.16 % (3563222)Refutation not found, incomplete strategy
% 17.31/3.16 % (3563222)------------------------------
% 17.31/3.16 % (3563222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.31/3.16 % (3563222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.31/3.16 % (3563222)CaDiCaL version: 2.1.3
% 17.31/3.16 % (3563222)Termination reason: Refutation not found, incomplete strategy
% 17.31/3.16 % (3563222)Time elapsed: 0.001 s
% 17.31/3.16 % (3563222)Peak memory usage: 87 MB
% 17.31/3.16 % (3563201)------------------------------
% 17.31/3.16 % (3563201)------------------------------
% 22.20/3.95 % (3563202)------------------------------
% 22.20/3.95 % (3563202)------------------------------
% 22.20/3.95 % (3563221)lrs+10_1_sil=8000:sp=occurrence:random_seed=3490133484:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 22.20/3.95 % (3563221)Refutation not found, incomplete strategy
% 22.20/3.95 % (3563221)------------------------------
% 22.20/3.95 % (3563221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.20/3.95 % (3563221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.20/3.95 % (3563221)CaDiCaL version: 2.1.3
% 22.20/3.95 % (3563221)Termination reason: Refutation not found, incomplete strategy
% 22.20/3.95 % (3563221)Time elapsed: 0.001 s
% 22.20/3.95 % (3563221)Peak memory usage: 87 MB
% 22.20/3.95 % (3563222)------------------------------
% 22.20/3.95 % (3563222)------------------------------
% 22.20/3.95 % (3563250)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3636114034:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 22.20/3.95 % (3563250)Refutation not found, incomplete strategy
% 22.20/3.95 % (3563250)------------------------------
% 22.20/3.95 % (3563250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.20/3.95 % (3563250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.20/3.95 % (3563250)CaDiCaL version: 2.1.3
% 22.20/3.95 % (3563250)Termination reason: Refutation not found, incomplete strategy
% 22.20/3.95 % (3563250)Time elapsed: 0.001 s
% 22.20/3.95 % (3563250)Peak memory usage: 87 MB
% 22.20/3.95 % (3563251)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=696165359:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 22.20/3.95 % (3563221)------------------------------
% 22.20/3.95 % (3563221)------------------------------
% 22.20/3.95 % (3563260)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3448762854:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 22.20/3.95 % (3563260)Refutation not found, incomplete strategy
% 22.20/3.95 % (3563260)------------------------------
% 22.20/3.95 % (3563260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.20/3.95 % (3563260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.20/3.95 % (3563260)CaDiCaL version: 2.1.3
% 22.20/3.95 % (3563260)Termination reason: Refutation not found, incomplete strategy
% 22.20/3.95 % (3563260)Time elapsed: 0.001 s
% 22.20/3.95 % (3563260)Peak memory usage: 87 MB
% 22.20/3.95 % (3563200)Refutation not found, incomplete strategy
% 22.20/3.95 % (3563200)------------------------------
% 22.20/3.95 % (3563200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.20/3.95 % (3563200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.20/3.95 % (3563200)CaDiCaL version: 2.1.3
% 22.20/3.95 % (3563200)Termination reason: Refutation not found, incomplete strategy
% 22.20/3.95 % (3563200)Time elapsed: 0.810 s
% 22.20/3.95 % (3563200)Peak memory usage: 126 MB
% 22.20/3.95 % (3563200)Instructions burned: 829 (million)
% 22.20/3.95 % (3563251)Instruction limit reached!
% 22.20/3.95 % (3563251)------------------------------
% 22.20/3.95 % (3563251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.20/3.95 % (3563251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.20/3.95 % (3563251)CaDiCaL version: 2.1.3
% 22.20/3.95 % (3563251)Termination reason: Instruction limit
% 22.20/3.95 % (3563251)Termination phase: Saturation
% 22.20/3.95 % (3563251)Time elapsed: 0.250 s
% 22.20/3.95 % (3563251)Peak memory usage: 92 MB
% 22.20/3.95 % (3563251)Instructions burned: 248 (million)
% 22.20/3.95 % (3563265)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3964483275:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 22.20/3.95 % (3563250)------------------------------
% 22.20/3.95 % (3563250)------------------------------
% 22.20/3.95 % (3563260)------------------------------
% 22.20/3.95 % (3563260)------------------------------
% 22.20/3.95 % (3563200)------------------------------
% 22.20/3.95 % (3563200)------------------------------
% 22.20/3.95 % (3563267)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2315764363:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 22.20/3.95 % (3563267)Refutation not found, incomplete strategy
% 22.20/3.95 % (3563267)------------------------------
% 22.20/3.95 % (3563267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.24/4.21 % (3563267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.24/4.21 % (3563267)CaDiCaL version: 2.1.3
% 25.24/4.21 % (3563267)Termination reason: Refutation not found, incomplete strategy
% 25.24/4.21 % (3563267)Time elapsed: 0.002 s
% 25.24/4.21 % (3563267)Peak memory usage: 88 MB
% 25.24/4.21 % (3563273)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3151880383:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 25.24/4.21 % (3563273)Refutation not found, incomplete strategy
% 25.24/4.21 % (3563273)------------------------------
% 25.24/4.21 % (3563273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.24/4.21 % (3563273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.24/4.21 % (3563273)CaDiCaL version: 2.1.3
% 25.24/4.21 % (3563273)Termination reason: Refutation not found, incomplete strategy
% 25.24/4.21 % (3563273)Time elapsed: 0.001 s
% 25.24/4.21 % (3563273)Peak memory usage: 87 MB
% 25.24/4.21 % (3563271)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4132101256:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 25.24/4.21 % (3563271)Instruction limit reached!
% 25.24/4.21 % (3563271)------------------------------
% 25.24/4.21 % (3563271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.24/4.21 % (3563271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.24/4.21 % (3563271)CaDiCaL version: 2.1.3
% 25.24/4.21 % (3563271)Termination reason: Instruction limit
% 25.24/4.21 % (3563271)Termination phase: Saturation
% 25.24/4.21 % (3563271)Time elapsed: 0.127 s
% 25.24/4.21 % (3563271)Peak memory usage: 89 MB
% 25.24/4.21 % (3563271)Instructions burned: 128 (million)
% 25.24/4.21 % (3563278)lrs+10_1_sil=8000:sp=occurrence:random_seed=1051031260:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 25.24/4.21 % (3563273)------------------------------
% 25.24/4.21 % (3563273)------------------------------
% 25.24/4.21 % (3563267)------------------------------
% 25.24/4.21 % (3563267)------------------------------
% 25.24/4.21 % (3563283)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4043391781:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 25.24/4.21 % (3563283)Refutation not found, incomplete strategy
% 25.24/4.21 % (3563283)------------------------------
% 25.24/4.21 % (3563283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.24/4.21 % (3563283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.24/4.21 % (3563283)CaDiCaL version: 2.1.3
% 25.24/4.21 % (3563283)Termination reason: Refutation not found, incomplete strategy
% 25.24/4.21 % (3563283)Time elapsed: 0.002 s
% 25.24/4.21 % (3563283)Peak memory usage: 88 MB
% 25.24/4.21 % (3563285)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3574316378:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 25.24/4.21 % (3563286)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2686530407:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 25.24/4.21 % (3563286)Refutation not found, incomplete strategy
% 25.24/4.21 % (3563286)------------------------------
% 25.24/4.21 % (3563286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.24/4.21 % (3563286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.24/4.21 % (3563286)CaDiCaL version: 2.1.3
% 25.24/4.21 % (3563286)Termination reason: Refutation not found, incomplete strategy
% 25.24/4.21 % (3563286)Time elapsed: 0.002 s
% 25.24/4.21 % (3563286)Peak memory usage: 89 MB
% 25.24/4.21 % (3563283)------------------------------
% 25.24/4.21 % (3563283)------------------------------
% 25.24/4.21 % (3563286)------------------------------
% 25.24/4.21 % (3563286)------------------------------
% 25.24/4.21 % (3563278)Instruction limit reached!
% 25.24/4.21 % (3563278)------------------------------
% 25.24/4.21 % (3563278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.24/4.21 % (3563278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.24/4.21 % (3563278)CaDiCaL version: 2.1.3
% 25.24/4.21 % (3563278)Termination reason: Instruction limit
% 25.24/4.21 % (3563278)Termination phase: Saturation
% 25.24/4.21 % (3563278)Time elapsed: 0.833 s
% 25.24/4.21 % (3563278)Peak memory usage: 99 MB
% 25.24/4.21 % (3563278)Instructions burned: 907 (million)
% 25.24/4.21 % (3563296)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2273630254:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 33.49/5.48 % (3563296)Refutation not found, incomplete strategy
% 33.49/5.48 % (3563296)------------------------------
% 33.49/5.48 % (3563296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.49/5.48 % (3563296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.49/5.48 % (3563296)CaDiCaL version: 2.1.3
% 33.49/5.48 % (3563296)Termination reason: Refutation not found, incomplete strategy
% 33.49/5.48 % (3563296)Time elapsed: 0.002 s
% 33.49/5.48 % (3563296)Peak memory usage: 88 MB
% 33.49/5.48 % (3563299)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=506113358:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 33.49/5.48 % (3563300)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=2930909835:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 33.49/5.48 % (3563300)Refutation not found, incomplete strategy
% 33.49/5.48 % (3563300)------------------------------
% 33.49/5.48 % (3563300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.49/5.48 % (3563300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.49/5.48 % (3563300)CaDiCaL version: 2.1.3
% 33.49/5.48 % (3563300)Termination reason: Refutation not found, incomplete strategy
% 33.49/5.48 % (3563300)Time elapsed: 0.002 s
% 33.49/5.48 % (3563300)Peak memory usage: 87 MB
% 33.49/5.48 % (3563296)------------------------------
% 33.49/5.48 % (3563296)------------------------------
% 33.49/5.48 % (3563305)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1985383582:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 33.49/5.48 % (3563300)------------------------------
% 33.49/5.48 % (3563300)------------------------------
% 33.49/5.48 % (3563305)Instruction limit reached!
% 33.49/5.48 % (3563305)------------------------------
% 33.49/5.48 % (3563305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.49/5.48 % (3563305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.49/5.48 % (3563305)CaDiCaL version: 2.1.3
% 33.49/5.48 % (3563305)Termination reason: Instruction limit
% 33.49/5.48 % (3563305)Termination phase: Saturation
% 33.49/5.48 % (3563305)Time elapsed: 0.131 s
% 33.49/5.48 % (3563305)Peak memory usage: 90 MB
% 33.49/5.48 % (3563305)Instructions burned: 134 (million)
% 33.49/5.48 [W927 15:49:38.841429154 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.
% 33.49/5.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 33.49/5.48 [W927 15:49:38.841484414 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.
% 33.49/5.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 33.49/5.48 [W927 15:49:38.841540688 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.
% 33.49/5.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 33.49/5.48 [W927 15:49:38.841561305 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.
% 33.49/5.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 33.49/5.48 [W927 15:49:38.841604965 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.
% 33.49/5.48 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 33.49/5.48 [W927 15:49:38.841687476 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.
% 50.84/7.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 50.84/7.94 [W927 15:49:38.841747080 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.
% 50.84/7.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 50.84/7.94 [W927 15:49:38.841765150 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.
% 50.84/7.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 50.84/7.94 [W927 15:49:38.841805780 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.
% 50.84/7.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 50.84/7.94 [W927 15:49:38.841822823 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.
% 50.84/7.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 50.84/7.94 [W927 15:49:38.841864817 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.
% 50.84/7.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 50.84/7.94 [W927 15:49:38.841882017 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.
% 50.84/7.94 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 50.84/7.94 % (3563308)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=367455252:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/141Mi)
% 50.84/7.94 % (3563308)Refutation not found, incomplete strategy
% 50.84/7.94 % (3563308)------------------------------
% 50.84/7.94 % (3563308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.84/7.94 % (3563308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.84/7.94 % (3563308)CaDiCaL version: 2.1.3
% 50.84/7.94 % (3563308)Termination reason: Refutation not found, incomplete strategy
% 50.84/7.94 % (3563308)Time elapsed: 0.001 s
% 50.84/7.94 % (3563308)Peak memory usage: 87 MB
% 50.84/7.94 % (3563265)Instruction limit reached!
% 50.84/7.94 % (3563265)------------------------------
% 50.84/7.94 % (3563265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.84/7.94 % (3563265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.84/7.94 % (3563265)CaDiCaL version: 2.1.3
% 50.84/7.94 % (3563265)Termination reason: Instruction limit
% 50.84/7.94 % (3563265)Termination phase: Saturation
% 50.84/7.94 % (3563265)Time elapsed: 2.376 s
% 50.84/7.95 % (3563265)Peak memory usage: 141 MB
% 50.84/7.95 % (3563265)Instructions burned: 2351 (million)
% 50.84/7.95 % (3563309)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2817361764:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/431Mi)
% 50.84/7.95 % (3563309)Refutation not found, incomplete strategy
% 50.84/7.95 % (3563309)------------------------------
% 50.84/7.95 % (3563309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.84/7.95 % (3563309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.84/7.95 % (3563309)CaDiCaL version: 2.1.3
% 50.84/7.95 % (3563309)Termination reason: Refutation not found, incomplete strategy
% 50.84/7.95 % (3563309)Time elapsed: 0.001 s
% 50.84/7.95 % (3563309)Peak memory usage: 87 MB
% 50.84/7.95 % (3563299)Refutation not found, incomplete strategy
% 50.84/7.95 % (3563299)------------------------------
% 50.84/7.95 % (3563299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.84/7.95 % (3563299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.02/8.46 % (3563299)CaDiCaL version: 2.1.3
% 55.02/8.46 % (3563299)Termination reason: Refutation not found, incomplete strategy
% 55.02/8.46 % (3563299)Time elapsed: 0.872 s
% 55.02/8.46 % (3563299)Peak memory usage: 125 MB
% 55.02/8.46 % (3563299)Instructions burned: 826 (million)
% 55.02/8.46 % (3563308)------------------------------
% 55.02/8.46 % (3563308)------------------------------
% 55.02/8.46 % (3563312)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=3542356317:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 55.02/8.46 % (3563309)------------------------------
% 55.02/8.46 % (3563309)------------------------------
% 55.02/8.46 % (3563299)------------------------------
% 55.02/8.46 % (3563299)------------------------------
% 55.02/8.46 % (3563314)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=526652169:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2961 on theBenchmark for (2961ds/150Mi)
% 55.02/8.46 % (3563316)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2615894356:i=667:av=off:fsr=off_2960 on theBenchmark for (2960ds/667Mi)
% 55.02/8.46 % (3563315)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3188145787:i=14155:bd=all_2960 on theBenchmark for (2960ds/14155Mi)
% 55.02/8.46 % (3563316)Refutation not found, incomplete strategy
% 55.02/8.46 % (3563316)------------------------------
% 55.02/8.46 % (3563316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.02/8.46 % (3563316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.02/8.46 % (3563316)CaDiCaL version: 2.1.3
% 55.02/8.46 % (3563316)Termination reason: Refutation not found, incomplete strategy
% 55.02/8.46 % (3563316)Time elapsed: 0.002 s
% 55.02/8.46 % (3563316)Peak memory usage: 88 MB
% 55.02/8.46 % (3563314)Instruction limit reached!
% 55.02/8.46 % (3563314)------------------------------
% 55.02/8.46 % (3563314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.02/8.46 % (3563314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.02/8.46 % (3563314)CaDiCaL version: 2.1.3
% 55.02/8.46 % (3563314)Termination reason: Instruction limit
% 55.02/8.46 % (3563314)Termination phase: Saturation
% 55.02/8.46 % (3563314)Time elapsed: 0.155 s
% 55.02/8.46 % (3563314)Peak memory usage: 90 MB
% 55.02/8.46 % (3563314)Instructions burned: 150 (million)
% 55.02/8.46 % (3563316)------------------------------
% 55.02/8.46 % (3563316)------------------------------
% 55.02/8.46 % (3563320)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=945785268:s2a=on:i=185:s2at=1.8:fdi=4_2957 on theBenchmark for (2957ds/185Mi)
% 55.02/8.46 % (3563285)Instruction limit reached!
% 55.02/8.46 % (3563285)------------------------------
% 55.02/8.46 % (3563285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.02/8.46 % (3563285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.02/8.46 % (3563285)CaDiCaL version: 2.1.3
% 55.02/8.46 % (3563285)Termination reason: Instruction limit
% 55.02/8.46 % (3563285)Termination phase: Saturation
% 55.02/8.46 % (3563285)Time elapsed: 2.787 s
% 55.02/8.46 % (3563285)Peak memory usage: 171 MB
% 55.02/8.46 % (3563285)Instructions burned: 5204 (million)
% 55.02/8.46 % (3563320)Instruction limit reached!
% 55.02/8.46 % (3563320)------------------------------
% 55.02/8.46 % (3563320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.02/8.46 % (3563320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.02/8.46 % (3563320)CaDiCaL version: 2.1.3
% 55.02/8.46 % (3563320)Termination reason: Instruction limit
% 55.02/8.46 % (3563320)Termination phase: Saturation
% 55.02/8.46 % (3563320)Time elapsed: 0.195 s
% 55.02/8.46 % (3563320)Peak memory usage: 91 MB
% 55.02/8.46 % (3563320)Instructions burned: 185 (million)
% 55.02/8.46 % (3563323)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=195505704:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2954 on theBenchmark for (2954ds/193Mi)
% 55.02/8.46 % (3563325)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=353371987:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2953 on theBenchmark for (2953ds/4850Mi)
% 55.02/8.46 % (3563323)Refutation not found, incomplete strategy
% 55.02/8.46 % (3563323)------------------------------
% 74.89/11.21 % (3563323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.89/11.21 % (3563323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.89/11.21 % (3563323)CaDiCaL version: 2.1.3
% 74.89/11.21 % (3563323)Termination reason: Refutation not found, incomplete strategy
% 74.89/11.21 % (3563323)Time elapsed: 0.002 s
% 74.89/11.21 % (3563323)Peak memory usage: 87 MB
% 74.89/11.21 % (3563325)Refutation not found, incomplete strategy
% 74.89/11.21 % (3563325)------------------------------
% 74.89/11.21 % (3563325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.89/11.21 % (3563325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.89/11.21 % (3563325)CaDiCaL version: 2.1.3
% 74.89/11.21 % (3563325)Termination reason: Refutation not found, incomplete strategy
% 74.89/11.21 % (3563325)Time elapsed: 0.001 s
% 74.89/11.21 % (3563325)Peak memory usage: 88 MB
% 74.89/11.21 % (3563326)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1023821033:i=12111:sd=1:ss=included_2952 on theBenchmark for (2952ds/12111Mi)
% 74.89/11.21 % (3563323)------------------------------
% 74.89/11.21 % (3563323)------------------------------
% 74.89/11.21 % (3563325)------------------------------
% 74.89/11.21 % (3563325)------------------------------
% 74.89/11.21 % (3563330)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=576216112:i=319:kws=precedence:fsr=off_2947 on theBenchmark for (2947ds/319Mi)
% 74.89/11.21 % (3563331)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1176927946:i=2064:ep=RST_2947 on theBenchmark for (2947ds/2064Mi)
% 74.89/11.21 % (3563331)Refutation not found, incomplete strategy
% 74.89/11.21 % (3563331)------------------------------
% 74.89/11.21 % (3563331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.89/11.21 % (3563331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.89/11.21 % (3563331)CaDiCaL version: 2.1.3
% 74.89/11.21 % (3563331)Termination reason: Refutation not found, incomplete strategy
% 74.89/11.21 % (3563331)Time elapsed: 0.002 s
% 74.89/11.21 % (3563331)Peak memory usage: 88 MB
% 74.89/11.21 % (3563331)Instructions burned: 1 (million)
% 74.89/11.21 % (3563330)Instruction limit reached!
% 74.89/11.21 % (3563330)------------------------------
% 74.89/11.21 % (3563330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.89/11.21 % (3563330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.89/11.21 % (3563330)CaDiCaL version: 2.1.3
% 74.89/11.21 % (3563330)Termination reason: Instruction limit
% 74.89/11.21 % (3563330)Termination phase: Saturation
% 74.89/11.21 % (3563330)Time elapsed: 0.330 s
% 74.89/11.21 % (3563330)Peak memory usage: 92 MB
% 74.89/11.21 % (3563330)Instructions burned: 319 (million)
% 74.89/11.21 % (3563331)------------------------------
% 74.89/11.21 % (3563331)------------------------------
% 74.89/11.21 % (3563334)dis-1011_128_sil=32000:random_seed=4213326577:i=3706:ep=RST:av=off_2941 on theBenchmark for (2941ds/3706Mi)
% 74.89/11.21 % (3563335)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=480422182:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2940 on theBenchmark for (2940ds/757Mi)
% 74.89/11.21 % (3563335)Refutation not found, incomplete strategy
% 74.89/11.21 % (3563335)------------------------------
% 74.89/11.21 % (3563335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.89/11.21 % (3563335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.89/11.21 % (3563335)CaDiCaL version: 2.1.3
% 74.89/11.21 % (3563335)Termination reason: Refutation not found, incomplete strategy
% 74.89/11.21 % (3563335)Time elapsed: 0.001 s
% 74.89/11.21 % (3563335)Peak memory usage: 87 MB
% 74.89/11.21 % (3563335)------------------------------
% 74.89/11.21 % (3563335)------------------------------
% 74.89/11.21 % (3563338)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1465266253:i=13913:ss=axioms:sgt=8_2933 on theBenchmark for (2933ds/13913Mi)
% 74.89/11.21 % (3563312)Instruction limit reached!
% 74.89/11.21 % (3563312)------------------------------
% 74.89/11.21 % (3563312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.89/11.21 % (3563312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.89/11.21 % (3563312)CaDiCaL version: 2.1.3
% 74.89/11.21 % (3563312)Termination reason: Instruction limit
% 74.89/11.21 % (3563312)Termination phase: Saturation
% 86.04/12.84 % (3563312)Time elapsed: 3.463 s
% 86.04/12.84 % (3563312)Peak memory usage: 143 MB
% 86.04/12.84 % (3563312)Instructions burned: 6061 (million)
% 86.04/12.84 % (3563342)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=246690775:i=9925:aac=none_2926 on theBenchmark for (2926ds/9925Mi)
% 86.04/12.84 [W927 15:49:42.099724390 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.
% 86.04/12.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.84 [W927 15:49:42.099785760 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.
% 86.04/12.84 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.84 [W927 15:49:42.099844398 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 [W927 15:49:42.099864681 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 [W927 15:49:42.099907625 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 [W927 15:49:42.099926251 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 [W927 15:49:42.099969738 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 [W927 15:49:42.099988859 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 [W927 15:49:42.100062179 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 [W927 15:49:42.100080276 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 [W927 15:49:42.100122233 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 [W927 15:49:42.100139073 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.
% 86.04/12.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 86.04/12.85 % (3563338)Refutation not found, incomplete strategy
% 83.43/16.15 % (3563338)------------------------------
% 83.43/16.15 % (3563338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.43/16.15 % (3563338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.43/16.15 % (3563338)CaDiCaL version: 2.1.3
% 83.43/16.15 % (3563338)Termination reason: Refutation not found, incomplete strategy
% 83.43/16.15 % (3563338)Time elapsed: 0.871 s
% 83.43/16.15 % (3563338)Peak memory usage: 125 MB
% 83.43/16.15 % (3563338)Instructions burned: 822 (million)
% 83.43/16.15 % (3563338)------------------------------
% 83.43/16.15 % (3563338)------------------------------
% 83.43/16.15 % (3563344)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=341186359:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2917 on theBenchmark for (2917ds/2479Mi)
% 83.43/16.15 % (3563344)Refutation not found, incomplete strategy
% 83.43/16.15 % (3563344)------------------------------
% 83.43/16.15 % (3563344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.43/16.15 % (3563344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.43/16.15 % (3563344)CaDiCaL version: 2.1.3
% 83.43/16.15 % (3563344)Termination reason: Refutation not found, incomplete strategy
% 83.43/16.15 % (3563344)Time elapsed: 0.001 s
% 83.43/16.15 % (3563344)Peak memory usage: 87 MB
% 83.43/16.15 % (3563344)------------------------------
% 83.43/16.15 % (3563344)------------------------------
% 83.43/16.15 % (3563350)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=740573661:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2910 on theBenchmark for (2910ds/440Mi)
% 83.43/16.15 % (3563350)Instruction limit reached!
% 83.43/16.15 % (3563350)------------------------------
% 83.43/16.15 % (3563350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.43/16.15 % (3563350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.43/16.15 % (3563350)CaDiCaL version: 2.1.3
% 83.43/16.15 % (3563350)Termination reason: Instruction limit
% 83.43/16.15 % (3563350)Termination phase: Saturation
% 83.43/16.15 % (3563350)Time elapsed: 0.409 s
% 83.43/16.15 % (3563350)Peak memory usage: 94 MB
% 83.43/16.15 % (3563350)Instructions burned: 440 (million)
% 83.43/16.15 % (3563334)Instruction limit reached!
% 83.43/16.15 % (3563334)------------------------------
% 83.43/16.15 % (3563334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.43/16.15 % (3563334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.43/16.15 % (3563334)CaDiCaL version: 2.1.3
% 83.43/16.15 % (3563334)Termination reason: Instruction limit
% 83.43/16.15 % (3563334)Termination phase: Saturation
% 83.43/16.15 % (3563334)Time elapsed: 3.782 s
% 83.43/16.15 % (3563334)Peak memory usage: 108 MB
% 83.43/16.15 % (3563334)Instructions burned: 3707 (million)
% 83.43/16.15 % (3563356)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2635855262:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2903 on theBenchmark for (2903ds/11145Mi)
% 83.43/16.15 % (3563357)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=404719079:cts=off:i=3034:av=off:er=known:fsd=on_2900 on theBenchmark for (2900ds/3034Mi)
% 83.43/16.15 [W927 15:49:45.098321206 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098369613 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098426591 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098447181 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098493044 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098510328 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098553905 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098570822 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098611259 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098627532 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098668279 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 [W927 15:49:45.098689309 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.
% 83.43/16.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 83.43/16.15 % (3563356)Refutation not found, incomplete strategy
% 83.43/16.15 % (3563356)------------------------------
% 83.43/16.15 % (3563356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.43/16.15 % (3563356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.43/16.15 % (3563356)CaDiCaL version: 2.1.3
% 83.43/16.15 % (3563356)Termination reason: Refutation not found, incomplete strategy
% 83.43/16.15 % (3563356)Time elapsed: 0.867 s
% 83.43/16.15 % (3563356)Peak memory usage: 125 MB
% 83.43/16.15 % (3563356)Instructions burned: 826 (million)
% 83.43/16.15 % (3563356)------------------------------
% 83.43/16.15 % (3563356)------------------------------
% 83.43/16.15 % (3563360)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1717587912:st=2:s2a=on:i=524:s2at=2:ss=axioms_2887 on theBenchmark for (2887ds/524Mi)
% 83.43/16.15 % (3563360)Refutation not found, incomplete strategy
% 83.43/16.15 % (3563360)------------------------------
% 83.43/16.15 % (3563360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.43/16.15 % (3563360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.43/16.15 % (3563360)CaDiCaL version: 2.1.3
% 83.43/16.15 % (3563360)Termination reason: Refutation not found, incomplete strategy
% 83.43/16.15 % (3563360)Time elapsed: 0.002 s
% 83.43/16.15 % (3563360)Peak memory usage: 87 MB
% 83.43/16.15 % (3563360)------------------------------
% 83.43/16.15 % (3563360)------------------------------
% 83.43/16.15 % (3563362)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=8452227:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2880 on theBenchmark for (2880ds/1016Mi)
% 83.43/16.15 % (3563362)Refutation not found, incomplete strategy
% 83.43/16.15 % (3563362)------------------------------
% 83.43/16.15 % (3563362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.43/16.15 % (3563362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.43/16.15 % (3563362)CaDiCaL version: 2.1.3
% 83.43/16.15 % (3563362)Termination reason: Refutation not found, incomplete strategy
% 83.43/16.15 % (3563362)Time elapsed: 0.001 s
% 83.43/16.15 % (3563362)Peak memory usage: 87 MB
% 83.43/16.15 % (3563362)------------------------------
% 83.43/16.15 % (3563362)------------------------------
% 83.43/16.15 % (3563364)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1454524459:i=14123:bd=preordered:ins=4_2874 on theBenchmark for (2874ds/14123Mi)
% 83.43/16.15 % (3563357)Instruction limit reached!
% 83.43/16.15 % (3563357)------------------------------
% 83.43/16.15 % (3563357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.43/16.15 % (3563357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.43/16.15 % (3563357)CaDiCaL version: 2.1.3
% 83.43/16.15 % (3563357)Termination reason: Instruction limit
% 83.43/16.15 % (3563357)Termination phase: Saturation
% 83.43/16.15 % (3563357)Time elapsed: 2.876 s
% 83.43/16.15 % (3563357)Peak memory usage: 143 MB
% 83.43/16.15 % (3563357)Instructions burned: 3035 (million)
% 83.43/16.15 % (3563368)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2259765095:i=5781:kws=precedence:bd=all:rawr=on_2869 on theBenchmark for (2869ds/5781Mi)
% 83.43/16.15 % (3563342)Instruction limit reached!
% 83.43/16.15 % (3563342)------------------------------
% 83.43/16.15 % (3563342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.43/16.15 % (3563342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.43/16.15 % (3563342)CaDiCaL version: 2.1.3
% 83.43/16.15 % (3563342)Termination reason: Instruction limit
% 83.43/16.15 % (3563342)Termination phase: Saturation
% 83.43/16.15 % (3563342)Time elapsed: 6.475 s
% 83.43/16.15 % (3563342)Peak memory usage: 195 MB
% 83.43/16.15 % (3563342)Instructions burned: 9926 (million)
% 83.43/16.15 % (3563372)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=4191141343:i=2448:gtgl=5:bd=preordered:gtg=all_2859 on theBenchmark for (2859ds/2448Mi)
% 83.43/16.15 % (3563368)First to succeed.
% 83.43/16.15 % (3563368)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3563134"
% 83.43/16.15 % (3563368)Refutation found. Thanks to Tanya!
% 83.43/16.15 % SZS status Theorem for theBenchmark
% 83.43/16.15 % SZS output start Proof for theBenchmark
% See solution above
% 110.23/16.43 % (3563368)------------------------------
% 110.23/16.43 % (3563368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.23/16.43 % (3563368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.23/16.43 % (3563368)CaDiCaL version: 2.1.3
% 110.23/16.43 % (3563368)Termination reason: Refutation
% 110.23/16.43 % (3563368)Time elapsed: 1.635 s
% 110.23/16.43 % (3563368)Peak memory usage: 109 MB
% 110.23/16.43 % (3563368)Instructions burned: 1695 (million)
% 110.23/16.43 % (3563368)------------------------------
% 110.23/16.43 % (3563368)------------------------------
% 110.23/16.43 % (3563134)Success in time 15.495 s
% 110.23/16.43 % Vampire exiting
%------------------------------------------------------------------------------