%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL481+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:52:34 AM UTC 2026
% Result : Theorem 71.71s 11.19s
% Output : Refutation 73.64s
% 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/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f17,axiom,
( kn2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kn2) ).
fof(f19,axiom,
( cn1
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn1) ).
fof(f20,axiom,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn2) ).
fof(f21,axiom,
( cn3
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn3) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_equiv) ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_op_equiv) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_modus_ponens) ).
fof(f36,axiom,
cn1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn1) ).
fof(f37,axiom,
cn2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn2) ).
fof(f38,axiom,
cn3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn3) ).
fof(f39,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f41,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_op_implies_and) ).
fof(f43,conjecture,
kn2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_kn2) ).
fof(f44,negated_conjecture,
~ kn2,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ kn2,
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))
=> kn2 ),
inference(unused_predicate_definition_removal,[],[f17]) ).
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,
( kn2
| ? [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,
( kn2
| ~ 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,
( kn2
| ~ 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,
~ kn2,
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
<=> kn2 ),
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(f182,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(f183,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(f196,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(f197,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,[],[f196,f124]) ).
fof(f198,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,[],[f196,f116]) ).
fof(f204,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,[],[f197,f157]) ).
fof(f207,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f198,f124]) ).
fof(f209,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,[],[f198,f190]) ).
fof(f223,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,[],[f204,f124]) ).
fof(f253,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,[],[f209,f169]) ).
fof(f255,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,[],[f209,f124]) ).
fof(f260,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,[],[f253,f196]) ).
fof(f292,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f260,f124]) ).
fof(f307,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,[],[f292,f198]) ).
fof(f314,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,[],[f292,f209]) ).
fof(f318,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,[],[f314,f196]) ).
fof(f326,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,[],[f307,f223]) ).
fof(f339,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,[],[f326,f209]) ).
fof(f437,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,[],[f318,f197]) ).
fof(f439,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,[],[f318,f292]) ).
fof(f440,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,[],[f318,f132]) ).
fof(f467,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,[],[f439,f339]) ).
fof(f480,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,[],[f437,f314]) ).
fof(f510,definition,
( spl2_25
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
fof(f511,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f568,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,[],[f440,f198]) ).
fof(f2131,plain,
( $false
| ~ spl2_12
| ~ spl2_25 ),
inference(backward_subsumption_resolution,[],[f132,f511]) ).
fof(f2155,plain,
( ~ spl2_12
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f2131]) ).
fof(f3223,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,[],[f467,f132]) ).
fof(f9684,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,[],[f182,f480]) ).
fof(f9767,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,[],[f9684,f100]) ).
fof(f10322,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,[],[f9767,f92]) ).
fof(f10338,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,[],[f10322,f292]) ).
fof(f10388,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,[],[f10322,f116]) ).
fof(f10390,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,[],[f10322,f568]) ).
fof(f10475,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,[],[f10390,f124]) ).
fof(f10476,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,[],[f10388,f124]) ).
fof(f10479,plain,
( ! [X0] : implies(not(X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10476,f149]) ).
fof(f10593,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,f10479]) ).
fof(f10924,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,[],[f10338,f292]) ).
fof(f11052,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,[],[f10924,f149]) ).
fof(f11074,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,[],[f11052,f207]) ).
fof(f11239,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,[],[f11074,f207]) ).
fof(f11707,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,[],[f3223,f11239]) ).
fof(f11799,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,[],[f339,f11239]) ).
fof(f12199,definition,
( spl2_341
<=> ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[spl2_341])],[avatar_definition]) ).
fof(f12200,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0)))
| ~ spl2_341 ),
inference(avatar_component_clause,[],[f12199]) ).
fof(f12252,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(f12253,plain,
( ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ spl2_352 ),
inference(avatar_component_clause,[],[f12252]) ).
fof(f12329,plain,
( spl2_25
| spl2_352
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11799,f156,f148,f131,f123,f115,f99,f91,f12252,f510]) ).
fof(f12350,plain,
( spl2_25
| spl2_341
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11707,f156,f148,f131,f123,f115,f99,f91,f12199,f510]) ).
fof(f37991,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,[],[f10475,f149]) ).
fof(f38586,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,[],[f37991,f169]) ).
fof(f38655,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,[],[f38586,f207]) ).
fof(f43810,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,[],[f10593,f10479]) ).
fof(f43901,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,[],[f43810,f10322]) ).
fof(f43988,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,[],[f43901,f12253]) ).
fof(f44068,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,[],[f43988,f149]) ).
fof(f44123,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,[],[f44068,f11239]) ).
fof(f44206,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,f44068]) ).
fof(f44409,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,[],[f44206,f12200]) ).
fof(f44769,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,f44123]) ).
fof(f44998,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,[],[f44769,f44123]) ).
fof(f45929,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,[],[f44998,f38655]) ).
fof(f54020,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,[],[f45929,f38655]) ).
fof(f54076,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,[],[f54020,f209]) ).
fof(f54088,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,[],[f54020,f37991]) ).
fof(f54558,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,[],[f54076,f54088]) ).
fof(f54691,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,[],[f54558,f10322]) ).
fof(f54766,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,[],[f54691,f54020]) ).
fof(f54782,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_352 ),
inference(resolution,[],[f54766,f149]) ).
fof(f54841,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,[],[f255,f54782]) ).
fof(f56019,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,[],[f54841,f10322]) ).
fof(f56140,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,[],[f56019,f44409]) ).
fof(f56477,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,[],[f56140,f149]) ).
fof(f56637,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,[],[f183,f56477]) ).
fof(f56919,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,[],[f56637,f54782]) ).
fof(f56938,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,f56919]) ).
fof(f56997,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,[],[f56938]) ).
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(s172,plain,
( ~ spl2_12
| ~ spl2_25 ),
inference(sat_conversion,[],[f2155]) ).
cnf(s1685,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_25
| spl2_352 ),
inference(sat_conversion,[],[f12329]) ).
cnf(s1714,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_25
| spl2_341 ),
inference(sat_conversion,[],[f12350]) ).
cnf(s2798,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_341
| ~ spl2_352 ),
inference(sat_conversion,[],[f56997]) ).
cnf(s2799,plain,
spl2_18,
inference(rat,[],[s9,s12]) ).
cnf(s2800,plain,
spl2_16,
inference(rat,[],[s8,s16]) ).
cnf(s2801,plain,
~ spl2_13,
inference(rat,[],[s7,s18]) ).
cnf(s2804,plain,
spl2_12,
inference(rat,[],[s6,s13]) ).
cnf(s2805,plain,
~ spl2_25,
inference(rat,[],[s172,s2804]) ).
cnf(s2806,plain,
spl2_10,
inference(rat,[],[s5,s14]) ).
cnf(s2809,plain,
spl2_8,
inference(rat,[],[s4,s15]) ).
cnf(s2855,plain,
spl2_4,
inference(rat,[],[s2,s19]) ).
cnf(s2868,plain,
spl2_2,
inference(rat,[],[s1,s11]) ).
cnf(s2972,plain,
spl2_341,
inference(rat,[],[s1714,s2855,s2805,s2799,s2800,s2804,s2806,s2809,s2868]) ).
cnf(s2973,plain,
spl2_352,
inference(rat,[],[s1685,s2855,s2805,s2799,s2800,s2804,s2806,s2809,s2868]) ).
cnf(s3077,plain,
$false,
inference(rat,[],[s2798,s2868,s2855,s2799,s2800,s2801,s2804,s2806,s2809,s2973,s2972]) ).
fof(f57003,plain,
$false,
inference(avatar_sat_refutation,[],[s3077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL481+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 15:54:32 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.59/2.61 % (2807670)Detected formulas, will run a generic FOF schedule.
% 11.59/2.61 % (2807675)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=146503743:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.59/2.61 % (2807681)dis-21_1_sil=8000:lcm=predicate:random_seed=2248042364:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.59/2.61 % (2807680)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=514697456:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.59/2.61 % (2807676)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=34564298:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.59/2.61 % (2807677)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=1300939537:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.59/2.61 % (2807679)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2681255412:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.59/2.61 % (2807678)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3366586030:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.59/2.61 % (2807679)Refutation not found, incomplete strategy
% 11.59/2.61 % (2807679)------------------------------
% 11.59/2.61 % (2807679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.61 % (2807679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.61 % (2807678)Refutation not found, incomplete strategy
% 11.59/2.61 % (2807678)------------------------------
% 11.59/2.61 % (2807678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.61 % (2807679)CaDiCaL version: 2.1.3
% 11.59/2.61 % (2807679)Termination reason: Refutation not found, incomplete strategy
% 11.59/2.61 % (2807679)Time elapsed: 0.001 s
% 11.59/2.61 % (2807678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.61 % (2807679)Peak memory usage: 86 MB
% 11.59/2.61 % (2807678)CaDiCaL version: 2.1.3
% 11.59/2.61 % (2807678)Termination reason: Refutation not found, incomplete strategy
% 11.59/2.61 % (2807678)Time elapsed: 0.001 s
% 11.59/2.61 % (2807678)Peak memory usage: 86 MB
% 11.59/2.61 % (2807681)Refutation not found, incomplete strategy
% 11.59/2.61 % (2807681)------------------------------
% 11.59/2.61 % (2807681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.61 % (2807681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.61 % (2807681)CaDiCaL version: 2.1.3
% 11.59/2.61 % (2807681)Termination reason: Refutation not found, incomplete strategy
% 11.59/2.61 % (2807681)Time elapsed: 0.002 s
% 11.59/2.61 % (2807681)Peak memory usage: 88 MB
% 11.59/2.61 % (2807681)Instructions burned: 1 (million)
% 11.59/2.61 % (2807680)Instruction limit reached!
% 11.59/2.61 % (2807680)------------------------------
% 11.59/2.61 % (2807680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.61 % (2807680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.61 % (2807680)CaDiCaL version: 2.1.3
% 11.59/2.61 % (2807680)Termination reason: Instruction limit
% 11.59/2.61 % (2807680)Termination phase: Saturation
% 11.59/2.61 % (2807680)Time elapsed: 0.093 s
% 11.59/2.61 % (2807680)Peak memory usage: 90 MB
% 11.59/2.61 % (2807680)Instructions burned: 139 (million)
% 11.59/2.61 % (2807681)------------------------------
% 11.59/2.61 % (2807681)------------------------------
% 11.59/2.61 % (2807679)------------------------------
% 11.59/2.61 % (2807679)------------------------------
% 11.59/2.61 % (2807678)------------------------------
% 11.59/2.61 % (2807678)------------------------------
% 11.59/2.61 % (2807689)lrs+10_1_sil=8000:sp=occurrence:random_seed=4058478093:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.59/2.61 % (2807689)Refutation not found, incomplete strategy
% 11.59/2.61 % (2807689)------------------------------
% 11.59/2.61 % (2807689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.61 % (2807689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.61 % (2807689)CaDiCaL version: 2.1.3
% 11.59/2.61 % (2807689)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2807689)Time elapsed: 0.001 s
% 16.37/3.14 % (2807689)Peak memory usage: 87 MB
% 16.37/3.14 % (2807690)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1866050596:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 16.37/3.14 % (2807690)Refutation not found, incomplete strategy
% 16.37/3.14 % (2807690)------------------------------
% 16.37/3.14 % (2807690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2807690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2807690)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2807690)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2807690)Time elapsed: 0.0000 s
% 16.37/3.14 % (2807690)Peak memory usage: 87 MB
% 16.37/3.14 % (2807691)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1252991759:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 16.37/3.14 % (2807692)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=978089499:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 16.37/3.14 % (2807691)Refutation not found, incomplete strategy
% 16.37/3.14 % (2807691)------------------------------
% 16.37/3.14 % (2807691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2807691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2807691)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2807691)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2807691)Time elapsed: 0.001 s
% 16.37/3.14 % (2807691)Peak memory usage: 86 MB
% 16.37/3.14 % (2807689)------------------------------
% 16.37/3.14 % (2807689)------------------------------
% 16.37/3.14 % (2807690)------------------------------
% 16.37/3.14 % (2807690)------------------------------
% 16.37/3.14 % (2807677)Refutation not found, incomplete strategy
% 16.37/3.14 % (2807677)------------------------------
% 16.37/3.14 % (2807677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2807677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2807677)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2807677)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2807677)Time elapsed: 0.560 s
% 16.37/3.14 % (2807677)Peak memory usage: 126 MB
% 16.37/3.14 % (2807677)Instructions burned: 824 (million)
% 16.37/3.14 % (2807692)Instruction limit reached!
% 16.37/3.14 % (2807692)------------------------------
% 16.37/3.14 % (2807692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2807692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2807692)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2807692)Termination reason: Instruction limit
% 16.37/3.14 % (2807692)Termination phase: Saturation
% 16.37/3.14 % (2807692)Time elapsed: 0.161 s
% 16.37/3.14 % (2807692)Peak memory usage: 92 MB
% 16.37/3.14 % (2807692)Instructions burned: 250 (million)
% 16.37/3.14 % (2807691)------------------------------
% 16.37/3.14 % (2807691)------------------------------
% 16.37/3.14 % (2807698)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4165875705:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 16.37/3.14 % (2807697)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1991937368:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 16.37/3.14 % (2807697)Refutation not found, incomplete strategy
% 16.37/3.14 % (2807697)------------------------------
% 16.37/3.14 % (2807697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2807697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2807697)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2807697)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.14 % (2807697)Time elapsed: 0.001 s
% 16.37/3.14 % (2807697)Peak memory usage: 86 MB
% 16.37/3.14 % (2807699)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=31358707:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 16.37/3.14 % (2807699)Refutation not found, incomplete strategy
% 16.37/3.14 % (2807699)------------------------------
% 16.37/3.14 % (2807699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.37/3.14 % (2807699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/3.14 % (2807699)CaDiCaL version: 2.1.3
% 16.37/3.14 % (2807699)Termination reason: Refutation not found, incomplete strategy
% 17.12/3.32 % (2807699)Time elapsed: 0.001 s
% 17.12/3.32 % (2807699)Peak memory usage: 88 MB
% 17.12/3.32 % (2807677)------------------------------
% 17.12/3.32 % (2807677)------------------------------
% 17.12/3.32 % (2807700)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=471683974:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 17.12/3.32 % (2807700)Instruction limit reached!
% 17.12/3.32 % (2807700)------------------------------
% 17.12/3.32 % (2807700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.32 % (2807700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/3.32 % (2807700)CaDiCaL version: 2.1.3
% 17.12/3.32 % (2807700)Termination reason: Instruction limit
% 17.12/3.32 % (2807700)Termination phase: Saturation
% 17.12/3.32 % (2807700)Time elapsed: 0.074 s
% 17.12/3.32 % (2807700)Peak memory usage: 89 MB
% 17.12/3.32 % (2807700)Instructions burned: 129 (million)
% 17.12/3.32 % (2807697)------------------------------
% 17.12/3.32 % (2807697)------------------------------
% 17.12/3.32 % (2807704)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1244881293:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 17.12/3.32 % (2807704)Refutation not found, incomplete strategy
% 17.12/3.32 % (2807704)------------------------------
% 17.12/3.32 % (2807704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.32 % (2807704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/3.32 % (2807704)CaDiCaL version: 2.1.3
% 17.12/3.32 % (2807704)Termination reason: Refutation not found, incomplete strategy
% 17.12/3.32 % (2807704)Time elapsed: 0.001 s
% 17.12/3.32 % (2807704)Peak memory usage: 87 MB
% 17.12/3.32 % (2807699)------------------------------
% 17.12/3.32 % (2807699)------------------------------
% 17.12/3.32 % (2807706)lrs+10_1_sil=8000:sp=occurrence:random_seed=1539511344:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 17.12/3.32 % (2807707)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=893255957:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 17.12/3.32 % (2807707)Refutation not found, incomplete strategy
% 17.12/3.32 % (2807707)------------------------------
% 17.12/3.32 % (2807707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.32 % (2807707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/3.32 % (2807707)CaDiCaL version: 2.1.3
% 17.12/3.32 % (2807707)Termination reason: Refutation not found, incomplete strategy
% 17.12/3.32 % (2807707)Time elapsed: 0.001 s
% 17.12/3.32 % (2807707)Peak memory usage: 88 MB
% 17.12/3.32 % (2807709)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2064673121:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 17.12/3.32 % (2807704)------------------------------
% 17.12/3.32 % (2807704)------------------------------
% 17.12/3.32 % (2807707)------------------------------
% 17.12/3.32 % (2807707)------------------------------
% 17.12/3.32 % (2807713)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1602900877:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 17.12/3.32 % (2807713)Refutation not found, incomplete strategy
% 17.12/3.32 % (2807713)------------------------------
% 17.12/3.32 % (2807713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.32 % (2807713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/3.32 % (2807713)CaDiCaL version: 2.1.3
% 17.12/3.32 % (2807713)Termination reason: Refutation not found, incomplete strategy
% 17.12/3.32 % (2807713)Time elapsed: 0.002 s
% 17.12/3.32 % (2807713)Peak memory usage: 89 MB
% 17.12/3.32 % (2807714)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4122557783:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 17.12/3.32 % (2807714)Refutation not found, incomplete strategy
% 17.12/3.32 % (2807714)------------------------------
% 17.12/3.32 % (2807714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.32 % (2807714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/3.32 % (2807714)CaDiCaL version: 2.1.3
% 17.12/3.32 % (2807714)Termination reason: Refutation not found, incomplete strategy
% 17.12/3.32 % (2807714)Time elapsed: 0.001 s
% 17.12/3.32 % (2807714)Peak memory usage: 88 MB
% 17.12/3.32 % (2807706)Instruction limit reached!
% 23.58/4.15 % (2807706)------------------------------
% 23.58/4.15 % (2807706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.15 % (2807706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.15 % (2807706)CaDiCaL version: 2.1.3
% 23.58/4.15 % (2807706)Termination reason: Instruction limit
% 23.58/4.15 % (2807706)Termination phase: Saturation
% 23.58/4.15 % (2807706)Time elapsed: 0.511 s
% 23.58/4.15 % (2807706)Peak memory usage: 99 MB
% 23.58/4.15 % (2807706)Instructions burned: 907 (million)
% 23.58/4.15 % (2807713)------------------------------
% 23.58/4.15 % (2807713)------------------------------
% 23.58/4.15 % (2807717)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=690462129:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 23.58/4.15 % (2807714)------------------------------
% 23.58/4.15 % (2807714)------------------------------
% 23.58/4.15 % (2807718)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=3235703521:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 23.58/4.15 % (2807718)Refutation not found, incomplete strategy
% 23.58/4.15 % (2807718)------------------------------
% 23.58/4.15 % (2807718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.15 % (2807718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.15 % (2807718)CaDiCaL version: 2.1.3
% 23.58/4.15 % (2807718)Termination reason: Refutation not found, incomplete strategy
% 23.58/4.15 % (2807718)Time elapsed: 0.001 s
% 23.58/4.15 % (2807718)Peak memory usage: 87 MB
% 23.58/4.15 % (2807720)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1578486287:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 23.58/4.15 % (2807720)Instruction limit reached!
% 23.58/4.15 % (2807720)------------------------------
% 23.58/4.15 % (2807720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.58/4.15 % (2807720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/4.15 % (2807720)CaDiCaL version: 2.1.3
% 23.58/4.15 % (2807720)Termination reason: Instruction limit
% 23.58/4.15 % (2807720)Termination phase: Saturation
% 23.58/4.15 % (2807720)Time elapsed: 0.093 s
% 23.58/4.15 % (2807720)Peak memory usage: 90 MB
% 23.58/4.15 % (2807720)Instructions burned: 134 (million)
% 23.58/4.15 % (2807718)------------------------------
% 23.58/4.15 % (2807718)------------------------------
% 23.58/4.15 [W927 15:54:35.684481530 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.
% 23.58/4.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 23.58/4.15 [W927 15:54:35.684516297 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.
% 23.58/4.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 23.58/4.15 [W927 15:54:35.684554137 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.
% 23.58/4.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 23.58/4.15 [W927 15:54:35.684566280 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.
% 23.58/4.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 23.58/4.15 [W927 15:54:35.684592124 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.
% 23.58/4.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 23.58/4.15 [W927 15:54:35.684603640 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.
% 37.75/6.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.75/6.14 [W927 15:54:35.684629697 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.
% 37.75/6.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.75/6.14 [W927 15:54:35.684639947 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.
% 37.75/6.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.75/6.14 [W927 15:54:35.684727594 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.
% 37.75/6.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.75/6.14 [W927 15:54:35.684744354 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.
% 37.75/6.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.75/6.14 [W927 15:54:35.684770487 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.
% 37.75/6.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.75/6.14 [W927 15:54:35.684780911 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.
% 37.75/6.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 37.75/6.14 % (2807723)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2755121352:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 37.75/6.14 % (2807723)Refutation not found, incomplete strategy
% 37.75/6.14 % (2807723)------------------------------
% 37.75/6.14 % (2807723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.75/6.14 % (2807723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.75/6.14 % (2807723)CaDiCaL version: 2.1.3
% 37.75/6.14 % (2807723)Termination reason: Refutation not found, incomplete strategy
% 37.75/6.14 % (2807723)Time elapsed: 0.001 s
% 37.75/6.14 % (2807723)Peak memory usage: 87 MB
% 37.75/6.14 % (2807724)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2712212381:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 37.75/6.14 % (2807724)Refutation not found, incomplete strategy
% 37.75/6.14 % (2807724)------------------------------
% 37.75/6.14 % (2807724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.75/6.14 % (2807724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.75/6.14 % (2807724)CaDiCaL version: 2.1.3
% 37.75/6.14 % (2807724)Termination reason: Refutation not found, incomplete strategy
% 37.75/6.14 % (2807724)Time elapsed: 0.001 s
% 37.75/6.14 % (2807724)Peak memory usage: 86 MB
% 37.75/6.14 % (2807698)Instruction limit reached!
% 37.75/6.14 % (2807698)------------------------------
% 37.75/6.14 % (2807698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.75/6.14 % (2807698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.75/6.14 % (2807698)CaDiCaL version: 2.1.3
% 37.75/6.14 % (2807698)Termination reason: Instruction limit
% 37.75/6.14 % (2807698)Termination phase: Saturation
% 37.75/6.14 % (2807698)Time elapsed: 1.503 s
% 37.75/6.14 % (2807698)Peak memory usage: 141 MB
% 37.75/6.14 % (2807698)Instructions burned: 2350 (million)
% 37.75/6.14 % (2807717)Refutation not found, incomplete strategy
% 37.75/6.14 % (2807717)------------------------------
% 37.75/6.14 % (2807717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.75/6.14 % (2807717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.67/6.73 % (2807717)CaDiCaL version: 2.1.3
% 41.67/6.73 % (2807717)Termination reason: Refutation not found, incomplete strategy
% 41.67/6.73 % (2807717)Time elapsed: 0.556 s
% 41.67/6.73 % (2807717)Peak memory usage: 126 MB
% 41.67/6.73 % (2807717)Instructions burned: 827 (million)
% 41.67/6.73 % (2807727)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=2157162868:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 41.67/6.73 % (2807723)------------------------------
% 41.67/6.73 % (2807723)------------------------------
% 41.67/6.73 % (2807724)------------------------------
% 41.67/6.73 % (2807724)------------------------------
% 41.67/6.73 % (2807717)------------------------------
% 41.67/6.73 % (2807717)------------------------------
% 41.67/6.73 % (2807729)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=4103773809:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 41.67/6.73 % (2807730)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2683134722:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 41.67/6.73 % (2807729)Instruction limit reached!
% 41.67/6.73 % (2807729)------------------------------
% 41.67/6.73 % (2807729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.67/6.73 % (2807729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.67/6.73 % (2807729)CaDiCaL version: 2.1.3
% 41.67/6.73 % (2807729)Termination reason: Instruction limit
% 41.67/6.73 % (2807729)Termination phase: Saturation
% 41.67/6.73 % (2807729)Time elapsed: 0.091 s
% 41.67/6.73 % (2807729)Peak memory usage: 90 MB
% 41.67/6.73 % (2807729)Instructions burned: 150 (million)
% 41.67/6.73 % (2807731)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1314500684:i=667:av=off:fsr=off_2972 on theBenchmark for (2972ds/667Mi)
% 41.67/6.73 % (2807731)Refutation not found, incomplete strategy
% 41.67/6.73 % (2807731)------------------------------
% 41.67/6.73 % (2807731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.67/6.73 % (2807731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.67/6.73 % (2807731)CaDiCaL version: 2.1.3
% 41.67/6.73 % (2807731)Termination reason: Refutation not found, incomplete strategy
% 41.67/6.73 % (2807731)Time elapsed: 0.001 s
% 41.67/6.73 % (2807731)Peak memory usage: 88 MB
% 41.67/6.73 % (2807734)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=2830349039:s2a=on:i=185:s2at=1.8:fdi=4_2971 on theBenchmark for (2971ds/185Mi)
% 41.67/6.73 % (2807734)Instruction limit reached!
% 41.67/6.73 % (2807734)------------------------------
% 41.67/6.73 % (2807734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.67/6.73 % (2807734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.67/6.73 % (2807734)CaDiCaL version: 2.1.3
% 41.67/6.73 % (2807734)Termination reason: Instruction limit
% 41.67/6.73 % (2807734)Termination phase: Saturation
% 41.67/6.73 % (2807734)Time elapsed: 0.118 s
% 41.67/6.73 % (2807734)Peak memory usage: 91 MB
% 41.67/6.73 % (2807734)Instructions burned: 185 (million)
% 41.67/6.73 % (2807731)------------------------------
% 41.67/6.73 % (2807731)------------------------------
% 41.67/6.73 % (2807737)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2012211145:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2968 on theBenchmark for (2968ds/193Mi)
% 41.67/6.73 % (2807737)Refutation not found, incomplete strategy
% 41.67/6.73 % (2807737)------------------------------
% 41.67/6.73 % (2807737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.67/6.73 % (2807737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.67/6.73 % (2807737)CaDiCaL version: 2.1.3
% 41.67/6.73 % (2807737)Termination reason: Refutation not found, incomplete strategy
% 41.67/6.73 % (2807737)Time elapsed: 0.001 s
% 41.67/6.73 % (2807737)Peak memory usage: 86 MB
% 41.67/6.73 % (2807738)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1148087480:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2968 on theBenchmark for (2968ds/4850Mi)
% 41.67/6.73 % (2807738)Refutation not found, incomplete strategy
% 41.67/6.73 % (2807738)------------------------------
% 41.67/6.73 % (2807738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.21/8.13 % (2807738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.21/8.13 % (2807738)CaDiCaL version: 2.1.3
% 51.21/8.13 % (2807738)Termination reason: Refutation not found, incomplete strategy
% 51.21/8.13 % (2807738)Time elapsed: 0.001 s
% 51.21/8.13 % (2807738)Peak memory usage: 88 MB
% 51.21/8.13 % (2807737)------------------------------
% 51.21/8.13 % (2807737)------------------------------
% 51.21/8.13 % (2807738)------------------------------
% 51.21/8.13 % (2807738)------------------------------
% 51.21/8.13 % (2807741)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=11112170:i=12111:sd=1:ss=included_2965 on theBenchmark for (2965ds/12111Mi)
% 51.21/8.13 % (2807742)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2214725160:i=319:kws=precedence:fsr=off_2964 on theBenchmark for (2964ds/319Mi)
% 51.21/8.13 % (2807742)Instruction limit reached!
% 51.21/8.13 % (2807742)------------------------------
% 51.21/8.13 % (2807742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.21/8.13 % (2807742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.21/8.13 % (2807742)CaDiCaL version: 2.1.3
% 51.21/8.13 % (2807742)Termination reason: Instruction limit
% 51.21/8.13 % (2807742)Termination phase: Saturation
% 51.21/8.13 % (2807742)Time elapsed: 0.206 s
% 51.21/8.13 % (2807742)Peak memory usage: 92 MB
% 51.21/8.13 % (2807742)Instructions burned: 320 (million)
% 51.21/8.13 % (2807745)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=164584375:i=2064:ep=RST_2960 on theBenchmark for (2960ds/2064Mi)
% 51.21/8.13 % (2807745)Refutation not found, incomplete strategy
% 51.21/8.13 % (2807745)------------------------------
% 51.21/8.13 % (2807745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.21/8.13 % (2807745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.21/8.13 % (2807745)CaDiCaL version: 2.1.3
% 51.21/8.13 % (2807745)Termination reason: Refutation not found, incomplete strategy
% 51.21/8.13 % (2807745)Time elapsed: 0.001 s
% 51.21/8.13 % (2807745)Peak memory usage: 88 MB
% 51.21/8.13 % (2807745)Instructions burned: 1 (million)
% 51.21/8.13 % (2807709)Instruction limit reached!
% 51.21/8.13 % (2807709)------------------------------
% 51.21/8.13 % (2807709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.21/8.13 % (2807709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.21/8.13 % (2807709)CaDiCaL version: 2.1.3
% 51.21/8.13 % (2807709)Termination reason: Instruction limit
% 51.21/8.13 % (2807709)Termination phase: Saturation
% 51.21/8.13 % (2807709)Time elapsed: 2.964 s
% 51.21/8.13 % (2807709)Peak memory usage: 171 MB
% 51.21/8.13 % (2807709)Instructions burned: 5204 (million)
% 51.21/8.13 % (2807745)------------------------------
% 51.21/8.13 % (2807745)------------------------------
% 51.21/8.13 % (2807747)dis-1011_128_sil=32000:random_seed=3055035530:i=3706:ep=RST:av=off_2956 on theBenchmark for (2956ds/3706Mi)
% 51.21/8.13 % (2807748)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=184346139:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2956 on theBenchmark for (2956ds/757Mi)
% 51.21/8.13 % (2807748)Refutation not found, incomplete strategy
% 51.21/8.13 % (2807748)------------------------------
% 51.21/8.13 % (2807748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.21/8.13 % (2807748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.21/8.13 % (2807748)CaDiCaL version: 2.1.3
% 51.21/8.13 % (2807748)Termination reason: Refutation not found, incomplete strategy
% 51.21/8.13 % (2807748)Time elapsed: 0.001 s
% 51.21/8.13 % (2807748)Peak memory usage: 87 MB
% 51.21/8.13 % (2807748)------------------------------
% 51.21/8.13 % (2807748)------------------------------
% 51.21/8.13 % (2807751)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3036642996:i=13913:ss=axioms:sgt=8_2952 on theBenchmark for (2952ds/13913Mi)
% 51.21/8.13 [W927 15:54:38.683505946 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.
% 51.21/8.13 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 51.21/8.13 [W927 15:54:38.683551043 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683589413 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683601503 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683625523 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683636280 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683660270 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683670916 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683693820 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683704070 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683727613 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 [W927 15:54:38.683737960 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.
% 59.00/9.14 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 59.00/9.14 % (2807751)Refutation not found, incomplete strategy
% 59.00/9.14 % (2807751)------------------------------
% 59.00/9.14 % (2807751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.00/9.14 % (2807751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.00/9.14 % (2807751)CaDiCaL version: 2.1.3
% 59.00/9.14 % (2807751)Termination reason: Refutation not found, incomplete strategy
% 59.00/9.14 % (2807751)Time elapsed: 0.546 s
% 59.00/9.14 % (2807751)Peak memory usage: 125 MB
% 59.00/9.14 % (2807751)Instructions burned: 825 (million)
% 59.00/9.14 % (2807751)------------------------------
% 59.00/9.14 % (2807751)------------------------------
% 59.00/9.14 % (2807753)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=729306838:i=9925:aac=none_2942 on theBenchmark for (2942ds/9925Mi)
% 71.71/11.18 % (2807727)Instruction limit reached!
% 71.71/11.18 % (2807727)------------------------------
% 71.71/11.18 % (2807727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.71/11.18 % (2807727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.71/11.18 % (2807727)CaDiCaL version: 2.1.3
% 71.71/11.18 % (2807727)Termination reason: Instruction limit
% 71.71/11.18 % (2807727)Termination phase: Saturation
% 71.71/11.18 % (2807727)Time elapsed: 3.383 s
% 71.71/11.18 % (2807727)Peak memory usage: 143 MB
% 71.71/11.18 % (2807727)Instructions burned: 6060 (million)
% 71.71/11.18 % (2807755)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=63307612:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2940 on theBenchmark for (2940ds/2479Mi)
% 71.71/11.18 % (2807755)Refutation not found, incomplete strategy
% 71.71/11.18 % (2807755)------------------------------
% 71.71/11.18 % (2807755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.71/11.18 % (2807755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.71/11.19 % (2807755)CaDiCaL version: 2.1.3
% 71.71/11.19 % (2807755)Termination reason: Refutation not found, incomplete strategy
% 71.71/11.19 % (2807755)Time elapsed: 0.001 s
% 71.71/11.19 % (2807755)Peak memory usage: 87 MB
% 71.71/11.19 % (2807755)------------------------------
% 71.71/11.19 % (2807755)------------------------------
% 71.71/11.19 % (2807757)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2340814134:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2936 on theBenchmark for (2936ds/440Mi)
% 71.71/11.19 % (2807757)Instruction limit reached!
% 71.71/11.19 % (2807757)------------------------------
% 71.71/11.19 % (2807757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.71/11.19 % (2807757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.71/11.19 % (2807757)CaDiCaL version: 2.1.3
% 71.71/11.19 % (2807757)Termination reason: Instruction limit
% 71.71/11.19 % (2807757)Termination phase: Saturation
% 71.71/11.19 % (2807757)Time elapsed: 0.237 s
% 71.71/11.19 % (2807757)Peak memory usage: 94 MB
% 71.71/11.19 % (2807757)Instructions burned: 442 (million)
% 71.71/11.19 % (2807759)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2668125275:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2932 on theBenchmark for (2932ds/11145Mi)
% 71.71/11.19 % (2807747)Instruction limit reached!
% 71.71/11.19 % (2807747)------------------------------
% 71.71/11.19 % (2807747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.71/11.19 % (2807747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.71/11.19 % (2807747)CaDiCaL version: 2.1.3
% 71.71/11.19 % (2807747)Termination reason: Instruction limit
% 71.71/11.19 % (2807747)Termination phase: Saturation
% 71.71/11.19 % (2807747)Time elapsed: 2.451 s
% 71.71/11.19 % (2807747)Peak memory usage: 108 MB
% 71.71/11.19 % (2807747)Instructions burned: 3707 (million)
% 71.71/11.19 % (2807761)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=3826519523:cts=off:i=3034:av=off:er=known:fsd=on_2930 on theBenchmark for (2930ds/3034Mi)
% 71.71/11.19 [W927 15:54:40.667711528 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667745808 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667782598 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667794398 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667819162 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667830125 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667854215 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667864972 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667888219 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667898915 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667923099 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 [W927 15:54:40.667933822 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.
% 71.71/11.19 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 71.71/11.19 % (2807759)Refutation not found, incomplete strategy
% 71.71/11.19 % (2807759)------------------------------
% 71.71/11.19 % (2807759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.71/11.19 % (2807759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.71/11.19 % (2807759)CaDiCaL version: 2.1.3
% 71.71/11.19 % (2807759)Termination reason: Refutation not found, incomplete strategy
% 71.71/11.19 % (2807759)Time elapsed: 0.549 s
% 71.71/11.19 % (2807759)Peak memory usage: 125 MB
% 71.71/11.19 % (2807759)Instructions burned: 825 (million)
% 71.71/11.19 % (2807759)------------------------------
% 71.71/11.19 % (2807759)------------------------------
% 71.71/11.19 % (2807763)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=560113231:st=2:s2a=on:i=524:s2at=2:ss=axioms_2923 on theBenchmark for (2923ds/524Mi)
% 71.71/11.19 % (2807763)Refutation not found, incomplete strategy
% 71.71/11.19 % (2807763)------------------------------
% 71.71/11.19 % (2807763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.71/11.19 % (2807763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.71/11.19 % (2807763)CaDiCaL version: 2.1.3
% 71.71/11.19 % (2807763)Termination reason: Refutation not found, incomplete strategy
% 71.71/11.19 % (2807763)Time elapsed: 0.001 s
% 71.71/11.19 % (2807763)Peak memory usage: 87 MB
% 71.71/11.19 % (2807763)------------------------------
% 71.71/11.19 % (2807763)------------------------------
% 71.71/11.19 % (2807765)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=40831969:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2918 on theBenchmark for (2918ds/1016Mi)
% 71.71/11.19 % (2807765)Refutation not found, incomplete strategy
% 71.71/11.19 % (2807765)------------------------------
% 71.71/11.19 % (2807765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.71/11.19 % (2807765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.71/11.19 % (2807765)CaDiCaL version: 2.1.3
% 71.71/11.19 % (2807765)Termination reason: Refutation not found, incomplete strategy
% 71.71/11.19 % (2807765)Time elapsed: 0.001 s
% 71.71/11.19 % (2807765)Peak memory usage: 87 MB
% 71.71/11.19 % (2807765)------------------------------
% 71.71/11.19 % (2807765)------------------------------
% 71.71/11.19 % (2807767)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2906505057:i=14123:bd=preordered:ins=4_2914 on theBenchmark for (2914ds/14123Mi)
% 71.71/11.19 % (2807761)Instruction limit reached!
% 71.71/11.19 % (2807761)------------------------------
% 71.71/11.19 % (2807761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.71/11.19 % (2807761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.71/11.19 % (2807761)CaDiCaL version: 2.1.3
% 71.71/11.19 % (2807761)Termination reason: Instruction limit
% 71.71/11.19 % (2807761)Termination phase: Saturation
% 71.71/11.19 % (2807761)Time elapsed: 1.717 s
% 71.71/11.19 % (2807761)Peak memory usage: 143 MB
% 71.71/11.19 % (2807761)Instructions burned: 3035 (million)
% 71.71/11.19 % (2807769)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3467536738:i=5781:kws=precedence:bd=all:rawr=on_2911 on theBenchmark for (2911ds/5781Mi)
% 71.71/11.19 % (2807769)First to succeed.
% 71.71/11.19 % (2807769)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2807670"
% 71.71/11.19 % (2807741)Instruction limit reached!
% 71.71/11.19 % (2807741)------------------------------
% 71.71/11.19 % (2807741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.71/11.19 % (2807741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.71/11.19 % (2807741)CaDiCaL version: 2.1.3
% 71.71/11.19 % (2807741)Termination reason: Instruction limit
% 71.71/11.19 % (2807741)Termination phase: Saturation
% 71.71/11.19 % (2807741)Time elapsed: 6.504 s
% 71.71/11.19 % (2807741)Peak memory usage: 264 MB
% 71.71/11.19 % (2807741)Instructions burned: 12113 (million)
% 71.71/11.19 % (2807769)Refutation found. Thanks to Tanya!
% 71.71/11.19 % SZS status Theorem for theBenchmark
% 71.71/11.19 % SZS output start Proof for theBenchmark
% See solution above
% 73.64/11.38 % (2807769)------------------------------
% 73.64/11.38 % (2807769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.64/11.38 % (2807769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.64/11.38 % (2807769)CaDiCaL version: 2.1.3
% 73.64/11.38 % (2807769)Termination reason: Refutation
% 73.64/11.38 % (2807769)Time elapsed: 1.033 s
% 73.64/11.38 % (2807769)Peak memory usage: 109 MB
% 73.64/11.38 % (2807769)Instructions burned: 1715 (million)
% 73.64/11.38 % (2807769)------------------------------
% 73.64/11.38 % (2807769)------------------------------
% 73.64/11.38 % (2807670)Success in time 10.329 s
% 73.64/11.38 % Vampire exiting
%------------------------------------------------------------------------------