%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL466+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:32 AM UTC 2026
% Result : Theorem 67.60s 10.50s
% Output : Refutation 68.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 35
% Syntax : Number of formulae : 205 ( 47 unt; 19 def)
% Number of atoms : 830 ( 28 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1217 ( 592 ~; 586 |; 2 &)
% ( 25 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 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 : 244 ( 0 sgn 242 !; 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(f7,axiom,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1) ).
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_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(f44,negated_conjecture,
~ and_1,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ and_1,
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),X0))
=> and_1 ),
inference(unused_predicate_definition_removal,[],[f7]) ).
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_1
| ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X0)) ),
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_1
| ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
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_1
| ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
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_1,
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),sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f137,plain,
( ~ is_a_theorem(implies(and(sK0,sK1),sK0))
| spl2_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl2_14
<=> and_1 ),
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(f159,plain,
~ spl2_14,
inference(avatar_split_clause,[],[f85,f139]) ).
fof(f161,plain,
spl2_1,
inference(avatar_split_clause,[],[f76,f87]) ).
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(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(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,[],[f204,f169]) ).
fof(f250,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0))
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f204,f124]) ).
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,[],[f248,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(f320,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(f333,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,[],[f320,f204]) ).
fof(f420,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(f422,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f312,f286]) ).
fof(f423,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(f449,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X1))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f422,f333]) ).
fof(f466,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,[],[f420,f308]) ).
fof(f536,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,[],[f423,f193]) ).
fof(f621,definition,
( spl2_29
<=> ! [X2] : ~ is_a_theorem(X2) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
fof(f622,plain,
( ! [X2] : ~ is_a_theorem(X2)
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f1873,plain,
( $false
| ~ spl2_12
| ~ spl2_29 ),
inference(backward_subsumption_resolution,[],[f132,f622]) ).
fof(f1896,plain,
( ~ spl2_12
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f1873]) ).
fof(f2953,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X3),X2))))
| ~ is_a_theorem(X3) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f449,f132]) ).
fof(f9463,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,f466]) ).
fof(f9548,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,[],[f9463,f100]) ).
fof(f10072,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,[],[f9548,f92]) ).
fof(f10088,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,[],[f10072,f286]) ).
fof(f10138,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,[],[f10072,f116]) ).
fof(f10140,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,[],[f10072,f536]) ).
fof(f10225,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,[],[f10140,f124]) ).
fof(f10226,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,[],[f10138,f124]) ).
fof(f10228,plain,
( ! [X0] : implies(not(X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10226,f149]) ).
fof(f10343,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,f10228]) ).
fof(f10671,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,[],[f10088,f286]) ).
fof(f10819,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,[],[f10671,f149]) ).
fof(f10839,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,[],[f10819,f202]) ).
fof(f11004,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,[],[f10839,f202]) ).
fof(f11473,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,[],[f2953,f11004]) ).
fof(f11565,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,[],[f333,f11004]) ).
fof(f11966,definition,
( spl2_341
<=> ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[spl2_341])],[avatar_definition]) ).
fof(f11967,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0)))
| ~ spl2_341 ),
inference(avatar_component_clause,[],[f11966]) ).
fof(f12019,definition,
( spl2_352
<=> ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2)) ),
introduced(definition,[new_symbols(definition,[spl2_352])],[avatar_definition]) ).
fof(f12020,plain,
( ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ spl2_352 ),
inference(avatar_component_clause,[],[f12019]) ).
fof(f12096,plain,
( spl2_29
| spl2_352
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11565,f156,f148,f131,f123,f115,f99,f91,f12019,f621]) ).
fof(f12117,plain,
( spl2_29
| spl2_341
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11473,f156,f148,f131,f123,f115,f99,f91,f11966,f621]) ).
fof(f37984,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,[],[f10225,f149]) ).
fof(f38437,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,[],[f37984,f169]) ).
fof(f38506,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,[],[f38437,f202]) ).
fof(f43596,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,[],[f10343,f10228]) ).
fof(f43687,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,[],[f43596,f10072]) ).
fof(f43774,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_352 ),
inference(forward_subsumption_resolution,[],[f43687,f12020]) ).
fof(f43854,plain,
( ! [X0] : implies(implies(X0,X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_352 ),
inference(resolution,[],[f43774,f149]) ).
fof(f43909,plain,
( ! [X0,X1] : implies(implies(X0,X0),X1) = X1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_352 ),
inference(superposition,[],[f43854,f11004]) ).
fof(f43992,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_352 ),
inference(superposition,[],[f190,f43854]) ).
fof(f44195,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_341
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f43992,f11967]) ).
fof(f44607,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_352 ),
inference(superposition,[],[f132,f43909]) ).
fof(f44836,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_352 ),
inference(forward_demodulation,[],[f44607,f43909]) ).
fof(f45980,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_352 ),
inference(superposition,[],[f44836,f38506]) ).
fof(f54061,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_352 ),
inference(superposition,[],[f45980,f38506]) ).
fof(f54117,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_352 ),
inference(resolution,[],[f54061,f204]) ).
fof(f54129,plain,
( ! [X0] : implies(not(X0),not(not(X0))) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_352 ),
inference(resolution,[],[f54061,f37984]) ).
fof(f54599,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_352 ),
inference(superposition,[],[f54117,f54129]) ).
fof(f54732,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_352 ),
inference(resolution,[],[f54599,f10072]) ).
fof(f54807,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_352 ),
inference(forward_subsumption_resolution,[],[f54732,f54061]) ).
fof(f54823,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_352 ),
inference(resolution,[],[f54807,f149]) ).
fof(f54882,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_352 ),
inference(backward_demodulation,[],[f250,f54823]) ).
fof(f56065,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,implies(implies(X0,X1),X0)))
| ~ is_a_theorem(implies(X0,implies(implies(X0,X1),X0))) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_352 ),
inference(resolution,[],[f54882,f10072]) ).
fof(f56186,plain,
( ! [X0,X1] : is_a_theorem(equiv(X0,implies(implies(X0,X1),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_341
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f56065,f44195]) ).
fof(f56523,plain,
( ! [X0,X1] : implies(implies(X0,X1),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_341
| ~ spl2_352 ),
inference(resolution,[],[f56186,f149]) ).
fof(f56683,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,not(X1)),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_341
| ~ spl2_352 ),
inference(superposition,[],[f182,f56523]) ).
fof(f56968,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_341
| ~ spl2_352 ),
inference(superposition,[],[f56683,f54823]) ).
fof(f56987,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_341
| ~ spl2_352 ),
inference(backward_subsumption_resolution,[],[f137,f56968]) ).
fof(f57046,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_341
| ~ spl2_352 ),
inference(avatar_contradiction_clause,[],[f56987]) ).
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(s10,plain,
~ spl2_14,
inference(sat_conversion,[],[f159]) ).
cnf(s12,plain,
spl2_1,
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(s166,plain,
( ~ spl2_12
| ~ spl2_29 ),
inference(sat_conversion,[],[f1896]) ).
cnf(s1652,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_29
| spl2_352 ),
inference(sat_conversion,[],[f12096]) ).
cnf(s1681,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_29
| spl2_341 ),
inference(sat_conversion,[],[f12117]) ).
cnf(s2758,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_341
| ~ spl2_352 ),
inference(sat_conversion,[],[f57046]) ).
cnf(s2759,plain,
spl2_18,
inference(rat,[],[s9,s13]) ).
cnf(s2760,plain,
spl2_16,
inference(rat,[],[s8,s17]) ).
cnf(s2761,plain,
~ spl2_13,
inference(rat,[],[s7,s10]) ).
cnf(s2764,plain,
spl2_12,
inference(rat,[],[s6,s14]) ).
cnf(s2765,plain,
~ spl2_29,
inference(rat,[],[s166,s2764]) ).
cnf(s2766,plain,
spl2_10,
inference(rat,[],[s5,s15]) ).
cnf(s2769,plain,
spl2_8,
inference(rat,[],[s4,s16]) ).
cnf(s2815,plain,
spl2_4,
inference(rat,[],[s2,s19]) ).
cnf(s2828,plain,
spl2_2,
inference(rat,[],[s1,s12]) ).
cnf(s2931,plain,
spl2_341,
inference(rat,[],[s1681,s2815,s2765,s2759,s2760,s2764,s2766,s2769,s2828]) ).
cnf(s2932,plain,
spl2_352,
inference(rat,[],[s1652,s2815,s2765,s2759,s2760,s2764,s2766,s2769,s2828]) ).
cnf(s3039,plain,
$false,
inference(rat,[],[s2758,s2828,s2815,s2759,s2760,s2761,s2764,s2766,s2769,s2932,s2931]) ).
fof(f57052,plain,
$false,
inference(avatar_sat_refutation,[],[s3039]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL466+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 15:52:01 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 9.67/2.29 % (1813415)Detected formulas, will run a generic FOF schedule.
% 9.67/2.29 % (1813426)dis-21_1_sil=8000:lcm=predicate:random_seed=1187382209:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.67/2.29 % (1813426)Refutation not found, incomplete strategy
% 9.67/2.29 % (1813426)------------------------------
% 9.67/2.29 % (1813426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.29 % (1813426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.29 % (1813426)CaDiCaL version: 2.1.3
% 9.67/2.29 % (1813426)Termination reason: Refutation not found, incomplete strategy
% 9.67/2.29 % (1813426)Time elapsed: 0.001 s
% 9.67/2.29 % (1813426)Peak memory usage: 88 MB
% 9.67/2.29 % (1813426)Instructions burned: 1 (million)
% 9.67/2.29 % (1813424)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4061462614:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.67/2.29 % (1813421)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=3187952063:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.67/2.29 % (1813420)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=984191270:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.67/2.29 % (1813423)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4193072384:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.67/2.29 % (1813422)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=1251811871:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.67/2.29 % (1813425)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3284643333:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.67/2.29 % (1813424)Refutation not found, incomplete strategy
% 9.67/2.29 % (1813424)------------------------------
% 9.67/2.29 % (1813424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.29 % (1813424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.29 % (1813424)CaDiCaL version: 2.1.3
% 9.67/2.29 % (1813423)Refutation not found, incomplete strategy
% 9.67/2.29 % (1813423)------------------------------
% 9.67/2.29 % (1813423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.29 % (1813424)Termination reason: Refutation not found, incomplete strategy
% 9.67/2.29 % (1813424)Time elapsed: 0.001 s
% 9.67/2.29 % (1813424)Peak memory usage: 86 MB
% 9.67/2.29 % (1813423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.29 % (1813423)CaDiCaL version: 2.1.3
% 9.67/2.29 % (1813423)Termination reason: Refutation not found, incomplete strategy
% 9.67/2.29 % (1813423)Time elapsed: 0.001 s
% 9.67/2.29 % (1813423)Peak memory usage: 87 MB
% 9.67/2.29 % (1813425)Instruction limit reached!
% 9.67/2.29 % (1813425)------------------------------
% 9.67/2.29 % (1813425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.29 % (1813425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.29 % (1813425)CaDiCaL version: 2.1.3
% 9.67/2.29 % (1813425)Termination reason: Instruction limit
% 9.67/2.29 % (1813425)Termination phase: Saturation
% 9.67/2.29 % (1813425)Time elapsed: 0.093 s
% 9.67/2.29 % (1813425)Peak memory usage: 90 MB
% 9.67/2.29 % (1813425)Instructions burned: 139 (million)
% 9.67/2.29 % (1813426)------------------------------
% 9.67/2.29 % (1813426)------------------------------
% 9.67/2.29 % (1813435)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1927931385:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.67/2.29 % (1813435)Refutation not found, incomplete strategy
% 9.67/2.29 % (1813435)------------------------------
% 9.67/2.29 % (1813435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.67/2.29 % (1813435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/2.29 % (1813435)CaDiCaL version: 2.1.3
% 9.67/2.29 % (1813435)Termination reason: Refutation not found, incomplete strategy
% 9.67/2.29 % (1813435)Time elapsed: 0.0000 s
% 9.67/2.29 % (1813435)Peak memory usage: 87 MB
% 9.67/2.29 % (1813434)lrs+10_1_sil=8000:sp=occurrence:random_seed=3471290559:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.87/2.72 % (1813434)Refutation not found, incomplete strategy
% 12.87/2.72 % (1813434)------------------------------
% 12.87/2.72 % (1813434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.72 % (1813434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.72 % (1813434)CaDiCaL version: 2.1.3
% 12.87/2.72 % (1813434)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.72 % (1813434)Time elapsed: 0.0000 s
% 12.87/2.72 % (1813434)Peak memory usage: 87 MB
% 12.87/2.72 % (1813424)------------------------------
% 12.87/2.72 % (1813424)------------------------------
% 12.87/2.72 % (1813423)------------------------------
% 12.87/2.72 % (1813423)------------------------------
% 12.87/2.72 % (1813435)------------------------------
% 12.87/2.72 % (1813435)------------------------------
% 12.87/2.72 % (1813438)lrs+1011_1_sil=32000:sp=occurrence:random_seed=180999684:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.87/2.72 % (1813439)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=613617778:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.87/2.72 % (1813438)Refutation not found, incomplete strategy
% 12.87/2.72 % (1813438)------------------------------
% 12.87/2.72 % (1813438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.72 % (1813438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.72 % (1813438)CaDiCaL version: 2.1.3
% 12.87/2.72 % (1813438)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.72 % (1813438)Time elapsed: 0.001 s
% 12.87/2.72 % (1813438)Peak memory usage: 87 MB
% 12.87/2.72 % (1813434)------------------------------
% 12.87/2.72 % (1813434)------------------------------
% 12.87/2.72 % (1813440)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1160288905:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 12.87/2.72 % (1813440)Refutation not found, incomplete strategy
% 12.87/2.72 % (1813440)------------------------------
% 12.87/2.72 % (1813440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.72 % (1813440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.72 % (1813440)CaDiCaL version: 2.1.3
% 12.87/2.72 % (1813440)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.72 % (1813440)Time elapsed: 0.0000 s
% 12.87/2.72 % (1813440)Peak memory usage: 87 MB
% 12.87/2.72 % (1813439)Instruction limit reached!
% 12.87/2.72 % (1813439)------------------------------
% 12.87/2.72 % (1813439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.72 % (1813439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.72 % (1813439)CaDiCaL version: 2.1.3
% 12.87/2.72 % (1813439)Termination reason: Instruction limit
% 12.87/2.72 % (1813439)Termination phase: Saturation
% 12.87/2.72 % (1813439)Time elapsed: 0.161 s
% 12.87/2.72 % (1813439)Peak memory usage: 92 MB
% 12.87/2.72 % (1813439)Instructions burned: 249 (million)
% 12.87/2.72 % (1813422)Refutation not found, incomplete strategy
% 12.87/2.72 % (1813422)------------------------------
% 12.87/2.72 % (1813422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.72 % (1813422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.72 % (1813422)CaDiCaL version: 2.1.3
% 12.87/2.72 % (1813422)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.72 % (1813422)Time elapsed: 0.559 s
% 12.87/2.72 % (1813422)Peak memory usage: 126 MB
% 12.87/2.72 % (1813422)Instructions burned: 828 (million)
% 12.87/2.72 % (1813443)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2083076686:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.87/2.72 % (1813440)------------------------------
% 12.87/2.72 % (1813440)------------------------------
% 12.87/2.72 % (1813438)------------------------------
% 12.87/2.72 % (1813438)------------------------------
% 12.87/2.72 % (1813445)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=124979769:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.87/2.72 % (1813445)Refutation not found, incomplete strategy
% 12.87/2.72 % (1813445)------------------------------
% 12.87/2.72 % (1813445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.72 % (1813445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/3.05 % (1813445)CaDiCaL version: 2.1.3
% 15.70/3.05 % (1813445)Termination reason: Refutation not found, incomplete strategy
% 15.70/3.05 % (1813445)Time elapsed: 0.001 s
% 15.70/3.05 % (1813445)Peak memory usage: 88 MB
% 15.70/3.05 % (1813447)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1960506774:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 15.70/3.05 % (1813447)Instruction limit reached!
% 15.70/3.05 % (1813447)------------------------------
% 15.70/3.05 % (1813447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.70/3.05 % (1813447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/3.05 % (1813447)CaDiCaL version: 2.1.3
% 15.70/3.05 % (1813447)Termination reason: Instruction limit
% 15.70/3.05 % (1813447)Termination phase: Saturation
% 15.70/3.05 % (1813447)Time elapsed: 0.040 s
% 15.70/3.05 % (1813447)Peak memory usage: 89 MB
% 15.70/3.05 % (1813447)Instructions burned: 129 (million)
% 15.70/3.05 % (1813448)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=343094100:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 15.70/3.05 % (1813448)Refutation not found, incomplete strategy
% 15.70/3.05 % (1813448)------------------------------
% 15.70/3.05 % (1813448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.70/3.05 % (1813448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/3.05 % (1813448)CaDiCaL version: 2.1.3
% 15.70/3.05 % (1813448)Termination reason: Refutation not found, incomplete strategy
% 15.70/3.05 % (1813448)Time elapsed: 0.001 s
% 15.70/3.05 % (1813448)Peak memory usage: 87 MB
% 15.70/3.05 % (1813422)------------------------------
% 15.70/3.05 % (1813422)------------------------------
% 15.70/3.05 % (1813452)lrs+10_1_sil=8000:sp=occurrence:random_seed=3926151473:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 15.70/3.05 % (1813445)------------------------------
% 15.70/3.05 % (1813445)------------------------------
% 15.70/3.05 % (1813453)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1502481838:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 15.70/3.05 % (1813453)Refutation not found, incomplete strategy
% 15.70/3.05 % (1813453)------------------------------
% 15.70/3.05 % (1813453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.70/3.05 % (1813453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/3.05 % (1813453)CaDiCaL version: 2.1.3
% 15.70/3.05 % (1813453)Termination reason: Refutation not found, incomplete strategy
% 15.70/3.05 % (1813453)Time elapsed: 0.001 s
% 15.70/3.05 % (1813453)Peak memory usage: 88 MB
% 15.70/3.05 % (1813448)------------------------------
% 15.70/3.05 % (1813448)------------------------------
% 15.70/3.05 % (1813455)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4209201273:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 15.70/3.05 % (1813452)Instruction limit reached!
% 15.70/3.05 % (1813452)------------------------------
% 15.70/3.05 % (1813452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.70/3.05 % (1813452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/3.05 % (1813452)CaDiCaL version: 2.1.3
% 15.70/3.05 % (1813452)Termination reason: Instruction limit
% 15.70/3.05 % (1813452)Termination phase: Saturation
% 15.70/3.05 % (1813452)Time elapsed: 0.277 s
% 15.70/3.05 % (1813452)Peak memory usage: 99 MB
% 15.70/3.05 % (1813452)Instructions burned: 911 (million)
% 15.70/3.05 % (1813457)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3921862911:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 15.70/3.05 % (1813457)Refutation not found, incomplete strategy
% 15.70/3.05 % (1813457)------------------------------
% 15.70/3.05 % (1813457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.70/3.05 % (1813457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.70/3.05 % (1813457)CaDiCaL version: 2.1.3
% 15.70/3.05 % (1813457)Termination reason: Refutation not found, incomplete strategy
% 15.70/3.05 % (1813457)Time elapsed: 0.001 s
% 15.70/3.05 % (1813457)Peak memory usage: 89 MB
% 15.70/3.05 % (1813453)------------------------------
% 15.70/3.05 % (1813453)------------------------------
% 15.70/3.05 % (1813459)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1300184801:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 19.15/3.67 % (1813459)Refutation not found, incomplete strategy
% 19.15/3.67 % (1813459)------------------------------
% 19.15/3.67 % (1813459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/3.67 % (1813459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.67 % (1813459)CaDiCaL version: 2.1.3
% 19.15/3.67 % (1813459)Termination reason: Refutation not found, incomplete strategy
% 19.15/3.67 % (1813459)Time elapsed: 0.001 s
% 19.15/3.67 % (1813459)Peak memory usage: 88 MB
% 19.15/3.67 % (1813461)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3603868550:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 19.15/3.67 % (1813459)------------------------------
% 19.15/3.67 % (1813459)------------------------------
% 19.15/3.67 % (1813457)------------------------------
% 19.15/3.67 % (1813457)------------------------------
% 19.15/3.67 % (1813464)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=1909814195:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 19.15/3.67 % (1813464)Refutation not found, incomplete strategy
% 19.15/3.67 % (1813464)------------------------------
% 19.15/3.67 % (1813464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/3.67 % (1813464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.67 % (1813464)CaDiCaL version: 2.1.3
% 19.15/3.67 % (1813464)Termination reason: Refutation not found, incomplete strategy
% 19.15/3.67 % (1813464)Time elapsed: 0.0000 s
% 19.15/3.67 % (1813464)Peak memory usage: 87 MB
% 19.15/3.67 % (1813465)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4101680944:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 19.15/3.67 % (1813465)Instruction limit reached!
% 19.15/3.67 % (1813465)------------------------------
% 19.15/3.67 % (1813465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.15/3.67 % (1813465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.67 % (1813465)CaDiCaL version: 2.1.3
% 19.15/3.67 % (1813465)Termination reason: Instruction limit
% 19.15/3.67 % (1813465)Termination phase: Saturation
% 19.15/3.67 % (1813465)Time elapsed: 0.095 s
% 19.15/3.67 % (1813465)Peak memory usage: 90 MB
% 19.15/3.67 % (1813465)Instructions burned: 134 (million)
% 19.15/3.67 % (1813464)------------------------------
% 19.15/3.67 % (1813464)------------------------------
% 19.15/3.67 [W927 15:52:03.561601101 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.
% 19.15/3.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.15/3.67 [W927 15:52:03.561644241 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.
% 19.15/3.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.15/3.67 [W927 15:52:03.561682534 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.
% 19.15/3.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.15/3.67 [W927 15:52:03.561698631 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.
% 19.15/3.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.15/3.67 [W927 15:52:03.561724515 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.
% 19.15/3.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 19.15/3.67 [W927 15:52:03.561735708 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.
% 30.88/5.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.88/5.21 [W927 15:52:03.561762282 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.
% 30.88/5.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.88/5.21 [W927 15:52:03.561772532 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.
% 30.88/5.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.88/5.21 [W927 15:52:03.561796272 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.
% 30.88/5.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.88/5.21 [W927 15:52:03.561858446 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.
% 30.88/5.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.88/5.21 [W927 15:52:03.561894452 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.
% 30.88/5.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.88/5.21 [W927 15:52:03.561905633 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.
% 30.88/5.21 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 30.88/5.21 % (1813469)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1785025284:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 30.88/5.21 % (1813469)Refutation not found, incomplete strategy
% 30.88/5.21 % (1813469)------------------------------
% 30.88/5.21 % (1813469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.88/5.21 % (1813469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.88/5.21 % (1813469)CaDiCaL version: 2.1.3
% 30.88/5.21 % (1813469)Termination reason: Refutation not found, incomplete strategy
% 30.88/5.21 % (1813469)Time elapsed: 0.0000 s
% 30.88/5.21 % (1813469)Peak memory usage: 87 MB
% 30.88/5.21 % (1813468)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2030089191:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 30.88/5.21 % (1813468)Refutation not found, incomplete strategy
% 30.88/5.21 % (1813468)------------------------------
% 30.88/5.21 % (1813468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.88/5.21 % (1813468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.88/5.21 % (1813468)CaDiCaL version: 2.1.3
% 30.88/5.21 % (1813468)Termination reason: Refutation not found, incomplete strategy
% 30.88/5.21 % (1813468)Time elapsed: 0.001 s
% 30.88/5.21 % (1813468)Peak memory usage: 87 MB
% 30.88/5.21 % (1813461)Refutation not found, incomplete strategy
% 30.88/5.21 % (1813461)------------------------------
% 30.88/5.21 % (1813461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.88/5.21 % (1813461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.88/5.21 % (1813461)CaDiCaL version: 2.1.3
% 30.88/5.21 % (1813461)Termination reason: Refutation not found, incomplete strategy
% 30.88/5.21 % (1813461)Time elapsed: 0.554 s
% 30.88/5.21 % (1813461)Peak memory usage: 126 MB
% 30.88/5.21 % (1813461)Instructions burned: 826 (million)
% 30.88/5.21 % (1813469)------------------------------
% 30.88/5.21 % (1813469)------------------------------
% 30.88/5.21 % (1813468)------------------------------
% 30.88/5.21 % (1813468)------------------------------
% 30.88/5.21 % (1813472)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=1486231014:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 33.42/5.76 % (1813461)------------------------------
% 33.42/5.76 % (1813461)------------------------------
% 33.42/5.76 % (1813443)Instruction limit reached!
% 33.42/5.76 % (1813443)------------------------------
% 33.42/5.76 % (1813443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.42/5.76 % (1813443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.42/5.76 % (1813443)CaDiCaL version: 2.1.3
% 33.42/5.76 % (1813443)Termination reason: Instruction limit
% 33.42/5.76 % (1813443)Termination phase: Saturation
% 33.42/5.76 % (1813443)Time elapsed: 1.506 s
% 33.42/5.76 % (1813443)Peak memory usage: 141 MB
% 33.42/5.76 % (1813443)Instructions burned: 2351 (million)
% 33.42/5.76 % (1813474)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=974623891:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 33.42/5.76 % (1813475)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=45881390:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 33.42/5.76 % (1813476)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3709159579:i=667:av=off:fsr=off_2977 on theBenchmark for (2977ds/667Mi)
% 33.42/5.76 % (1813476)Refutation not found, incomplete strategy
% 33.42/5.76 % (1813476)------------------------------
% 33.42/5.76 % (1813476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.42/5.76 % (1813476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.42/5.76 % (1813476)CaDiCaL version: 2.1.3
% 33.42/5.76 % (1813476)Termination reason: Refutation not found, incomplete strategy
% 33.42/5.76 % (1813476)Time elapsed: 0.001 s
% 33.42/5.76 % (1813476)Peak memory usage: 88 MB
% 33.42/5.76 % (1813474)Instruction limit reached!
% 33.42/5.76 % (1813474)------------------------------
% 33.42/5.76 % (1813474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.42/5.76 % (1813474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.42/5.76 % (1813474)CaDiCaL version: 2.1.3
% 33.42/5.76 % (1813474)Termination reason: Instruction limit
% 33.42/5.76 % (1813474)Termination phase: Saturation
% 33.42/5.76 % (1813474)Time elapsed: 0.090 s
% 33.42/5.76 % (1813474)Peak memory usage: 90 MB
% 33.42/5.76 % (1813474)Instructions burned: 151 (million)
% 33.42/5.76 % (1813480)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=687820019:s2a=on:i=185:s2at=1.8:fdi=4_2975 on theBenchmark for (2975ds/185Mi)
% 33.42/5.76 % (1813476)------------------------------
% 33.42/5.76 % (1813476)------------------------------
% 33.42/5.76 % (1813480)Instruction limit reached!
% 33.42/5.76 % (1813480)------------------------------
% 33.42/5.76 % (1813480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.42/5.76 % (1813480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.42/5.76 % (1813480)CaDiCaL version: 2.1.3
% 33.42/5.76 % (1813480)Termination reason: Instruction limit
% 33.42/5.76 % (1813480)Termination phase: Saturation
% 33.42/5.76 % (1813480)Time elapsed: 0.117 s
% 33.42/5.76 % (1813480)Peak memory usage: 91 MB
% 33.42/5.76 % (1813480)Instructions burned: 185 (million)
% 33.42/5.76 % (1813483)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=775141564:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2973 on theBenchmark for (2973ds/4850Mi)
% 33.42/5.76 % (1813482)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=558536562:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2973 on theBenchmark for (2973ds/193Mi)
% 33.42/5.76 % (1813482)Refutation not found, incomplete strategy
% 33.42/5.76 % (1813482)------------------------------
% 33.42/5.76 % (1813482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.42/5.76 % (1813482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.42/5.76 % (1813482)CaDiCaL version: 2.1.3
% 33.42/5.76 % (1813482)Termination reason: Refutation not found, incomplete strategy
% 33.42/5.76 % (1813482)Time elapsed: 0.001 s
% 33.42/5.76 % (1813482)Peak memory usage: 87 MB
% 33.42/5.76 % (1813483)Refutation not found, incomplete strategy
% 33.42/5.76 % (1813483)------------------------------
% 33.42/5.76 % (1813483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.26/7.24 % (1813483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.26/7.24 % (1813483)CaDiCaL version: 2.1.3
% 45.26/7.24 % (1813483)Termination reason: Refutation not found, incomplete strategy
% 45.26/7.24 % (1813483)Time elapsed: 0.001 s
% 45.26/7.24 % (1813483)Peak memory usage: 88 MB
% 45.26/7.24 % (1813483)------------------------------
% 45.26/7.24 % (1813483)------------------------------
% 45.26/7.24 % (1813482)------------------------------
% 45.26/7.24 % (1813482)------------------------------
% 45.26/7.24 % (1813486)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=21093480:i=12111:sd=1:ss=included_2969 on theBenchmark for (2969ds/12111Mi)
% 45.26/7.24 % (1813487)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3556604427:i=319:kws=precedence:fsr=off_2969 on theBenchmark for (2969ds/319Mi)
% 45.26/7.24 % (1813487)Instruction limit reached!
% 45.26/7.24 % (1813487)------------------------------
% 45.26/7.24 % (1813487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.26/7.24 % (1813487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.26/7.24 % (1813487)CaDiCaL version: 2.1.3
% 45.26/7.24 % (1813487)Termination reason: Instruction limit
% 45.26/7.24 % (1813487)Termination phase: Saturation
% 45.26/7.24 % (1813487)Time elapsed: 0.205 s
% 45.26/7.24 % (1813487)Peak memory usage: 92 MB
% 45.26/7.24 % (1813487)Instructions burned: 319 (million)
% 45.26/7.24 % (1813490)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2289181855:i=2064:ep=RST_2966 on theBenchmark for (2966ds/2064Mi)
% 45.26/7.24 % (1813490)Refutation not found, incomplete strategy
% 45.26/7.24 % (1813490)------------------------------
% 45.26/7.24 % (1813490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.26/7.24 % (1813490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.26/7.24 % (1813490)CaDiCaL version: 2.1.3
% 45.26/7.24 % (1813490)Termination reason: Refutation not found, incomplete strategy
% 45.26/7.24 % (1813490)Time elapsed: 0.001 s
% 45.26/7.24 % (1813490)Peak memory usage: 88 MB
% 45.26/7.24 % (1813490)Instructions burned: 1 (million)
% 45.26/7.24 % (1813490)------------------------------
% 45.26/7.24 % (1813490)------------------------------
% 45.26/7.24 % (1813492)dis-1011_128_sil=32000:random_seed=3707691185:i=3706:ep=RST:av=off_2962 on theBenchmark for (2962ds/3706Mi)
% 45.26/7.24 % (1813472)Instruction limit reached!
% 45.26/7.24 % (1813472)------------------------------
% 45.26/7.24 % (1813472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.26/7.24 % (1813472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.26/7.24 % (1813472)CaDiCaL version: 2.1.3
% 45.26/7.24 % (1813472)Termination reason: Instruction limit
% 45.26/7.24 % (1813472)Termination phase: Saturation
% 45.26/7.24 % (1813472)Time elapsed: 1.848 s
% 45.26/7.24 % (1813472)Peak memory usage: 143 MB
% 45.26/7.24 % (1813472)Instructions burned: 6061 (million)
% 45.26/7.24 % (1813494)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=622671009:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2959 on theBenchmark for (2959ds/757Mi)
% 45.26/7.24 % (1813494)Refutation not found, incomplete strategy
% 45.26/7.24 % (1813494)------------------------------
% 45.26/7.24 % (1813494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.26/7.24 % (1813494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.26/7.24 % (1813494)CaDiCaL version: 2.1.3
% 45.26/7.24 % (1813494)Termination reason: Refutation not found, incomplete strategy
% 45.26/7.24 % (1813494)Time elapsed: 0.0000 s
% 45.26/7.24 % (1813494)Peak memory usage: 87 MB
% 45.26/7.24 % (1813455)Instruction limit reached!
% 45.26/7.24 % (1813455)------------------------------
% 45.26/7.24 % (1813455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.26/7.24 % (1813455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.26/7.24 % (1813455)CaDiCaL version: 2.1.3
% 45.26/7.24 % (1813455)Termination reason: Instruction limit
% 45.26/7.24 % (1813455)Termination phase: Saturation
% 45.26/7.24 % (1813455)Time elapsed: 2.965 s
% 45.26/7.24 % (1813455)Peak memory usage: 171 MB
% 45.26/7.24 % (1813455)Instructions burned: 5202 (million)
% 45.26/7.24 % (1813494)------------------------------
% 45.26/7.24 % (1813494)------------------------------
% 45.26/7.24 % (1813496)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3213920581:i=13913:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/13913Mi)
% 51.73/8.13 % (1813497)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=4136953627:i=9925:aac=none_2957 on theBenchmark for (2957ds/9925Mi)
% 51.73/8.13 [W927 15:52:06.429824316 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.429859190 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.429896413 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.429908570 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.429934304 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.429945964 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.429970847 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.429982491 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.430019858 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.430032491 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.430058974 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 [W927 15:52:06.430071301 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.
% 51.73/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.73/8.13 % (1813496)Refutation not found, incomplete strategy
% 67.60/10.50 % (1813496)------------------------------
% 67.60/10.50 % (1813496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813496)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813496)Termination reason: Refutation not found, incomplete strategy
% 67.60/10.50 % (1813496)Time elapsed: 0.545 s
% 67.60/10.50 % (1813496)Peak memory usage: 126 MB
% 67.60/10.50 % (1813496)Instructions burned: 825 (million)
% 67.60/10.50 % (1813496)------------------------------
% 67.60/10.50 % (1813496)------------------------------
% 67.60/10.50 % (1813500)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1234074648:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2948 on theBenchmark for (2948ds/2479Mi)
% 67.60/10.50 % (1813500)Refutation not found, incomplete strategy
% 67.60/10.50 % (1813500)------------------------------
% 67.60/10.50 % (1813500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813500)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813500)Termination reason: Refutation not found, incomplete strategy
% 67.60/10.50 % (1813500)Time elapsed: 0.001 s
% 67.60/10.50 % (1813500)Peak memory usage: 87 MB
% 67.60/10.50 % (1813500)------------------------------
% 67.60/10.50 % (1813500)------------------------------
% 67.60/10.50 % (1813502)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1077361782:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2945 on theBenchmark for (2945ds/440Mi)
% 67.60/10.50 % (1813502)Instruction limit reached!
% 67.60/10.50 % (1813502)------------------------------
% 67.60/10.50 % (1813502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813502)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813502)Termination reason: Instruction limit
% 67.60/10.50 % (1813502)Termination phase: Saturation
% 67.60/10.50 % (1813502)Time elapsed: 0.231 s
% 67.60/10.50 % (1813502)Peak memory usage: 94 MB
% 67.60/10.50 % (1813502)Instructions burned: 441 (million)
% 67.60/10.50 % (1813504)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=231158664:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2941 on theBenchmark for (2941ds/11145Mi)
% 67.60/10.50 % (1813492)Instruction limit reached!
% 67.60/10.50 % (1813492)------------------------------
% 67.60/10.50 % (1813492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813492)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813492)Termination reason: Instruction limit
% 67.60/10.50 % (1813492)Termination phase: Saturation
% 67.60/10.50 % (1813492)Time elapsed: 2.441 s
% 67.60/10.50 % (1813492)Peak memory usage: 108 MB
% 67.60/10.50 % (1813492)Instructions burned: 3707 (million)
% 67.60/10.50 [W927 15:52:08.079028668 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079062002 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079098156 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079111186 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079136859 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079158563 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079186143 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079271043 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079303317 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079314540 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079343211 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 [W927 15:52:08.079354021 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.
% 67.60/10.50 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 67.60/10.50 % (1813506)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=2782831323:cts=off:i=3034:av=off:er=known:fsd=on_2936 on theBenchmark for (2936ds/3034Mi)
% 67.60/10.50 % (1813504)Refutation not found, incomplete strategy
% 67.60/10.50 % (1813504)------------------------------
% 67.60/10.50 % (1813504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813504)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813504)Termination reason: Refutation not found, incomplete strategy
% 67.60/10.50 % (1813504)Time elapsed: 0.540 s
% 67.60/10.50 % (1813504)Peak memory usage: 126 MB
% 67.60/10.50 % (1813504)Instructions burned: 826 (million)
% 67.60/10.50 % (1813504)------------------------------
% 67.60/10.50 % (1813504)------------------------------
% 67.60/10.50 % (1813508)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3761640293:st=2:s2a=on:i=524:s2at=2:ss=axioms_2932 on theBenchmark for (2932ds/524Mi)
% 67.60/10.50 % (1813508)Refutation not found, incomplete strategy
% 67.60/10.50 % (1813508)------------------------------
% 67.60/10.50 % (1813508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813508)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813508)Termination reason: Refutation not found, incomplete strategy
% 67.60/10.50 % (1813508)Time elapsed: 0.001 s
% 67.60/10.50 % (1813508)Peak memory usage: 87 MB
% 67.60/10.50 % (1813508)------------------------------
% 67.60/10.50 % (1813508)------------------------------
% 67.60/10.50 % (1813510)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2967813375:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2928 on theBenchmark for (2928ds/1016Mi)
% 67.60/10.50 % (1813510)Refutation not found, incomplete strategy
% 67.60/10.50 % (1813510)------------------------------
% 67.60/10.50 % (1813510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813510)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813510)Termination reason: Refutation not found, incomplete strategy
% 67.60/10.50 % (1813510)Time elapsed: 0.001 s
% 67.60/10.50 % (1813510)Peak memory usage: 87 MB
% 67.60/10.50 % (1813510)------------------------------
% 67.60/10.50 % (1813510)------------------------------
% 67.60/10.50 % (1813512)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4280219608:i=14123:bd=preordered:ins=4_2924 on theBenchmark for (2924ds/14123Mi)
% 67.60/10.50 % (1813506)Instruction limit reached!
% 67.60/10.50 % (1813506)------------------------------
% 67.60/10.50 % (1813506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813506)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813506)Termination reason: Instruction limit
% 67.60/10.50 % (1813506)Termination phase: Saturation
% 67.60/10.50 % (1813506)Time elapsed: 1.703 s
% 67.60/10.50 % (1813506)Peak memory usage: 143 MB
% 67.60/10.50 % (1813506)Instructions burned: 3034 (million)
% 67.60/10.50 % (1813497)Instruction limit reached!
% 67.60/10.50 % (1813497)------------------------------
% 67.60/10.50 % (1813497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813497)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813497)Termination reason: Instruction limit
% 67.60/10.50 % (1813497)Termination phase: Saturation
% 67.60/10.50 % (1813497)Time elapsed: 3.898 s
% 67.60/10.50 % (1813497)Peak memory usage: 196 MB
% 67.60/10.50 % (1813497)Instructions burned: 9926 (million)
% 67.60/10.50 % (1813514)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=598232141:i=5781:kws=precedence:bd=all:rawr=on_2918 on theBenchmark for (2918ds/5781Mi)
% 67.60/10.50 % (1813515)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=1262595300:i=2448:gtgl=5:bd=preordered:gtg=all_2917 on theBenchmark for (2917ds/2448Mi)
% 67.60/10.50 % (1813515)Instruction limit reached!
% 67.60/10.50 % (1813515)------------------------------
% 67.60/10.50 % (1813515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.60/10.50 % (1813515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.60/10.50 % (1813515)CaDiCaL version: 2.1.3
% 67.60/10.50 % (1813515)Termination reason: Instruction limit
% 67.60/10.50 % (1813515)Termination phase: Saturation
% 67.60/10.50 % (1813515)Time elapsed: 0.816 s
% 67.60/10.50 % (1813515)Peak memory usage: 144 MB
% 67.60/10.50 % (1813515)Instructions burned: 2450 (million)
% 67.60/10.50 % (1813518)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=2252866523:i=3223:kws=precedence:fgj=on:av=off_2908 on theBenchmark for (2908ds/3223Mi)
% 67.60/10.50 % (1813514)First to succeed.
% 67.60/10.50 % (1813514)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1813415"
% 67.60/10.50 % (1813514)Refutation found. Thanks to Tanya!
% 67.60/10.50 % SZS status Theorem for theBenchmark
% 67.60/10.50 % SZS output start Proof for theBenchmark
% See solution above
% 68.78/10.70 % (1813514)------------------------------
% 68.78/10.70 % (1813514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/10.70 % (1813514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/10.70 % (1813514)CaDiCaL version: 2.1.3
% 68.78/10.70 % (1813514)Termination reason: Refutation
% 68.78/10.70 % (1813514)Time elapsed: 1.026 s
% 68.78/10.70 % (1813514)Peak memory usage: 110 MB
% 68.78/10.70 % (1813514)Instructions burned: 1710 (million)
% 68.78/10.70 % (1813514)------------------------------
% 68.78/10.70 % (1813514)------------------------------
% 68.78/10.70 % (1813415)Success in time 9.627 s
% 68.78/10.70 % Vampire exiting
%------------------------------------------------------------------------------