%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL480+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:34 AM UTC 2026
% Result : Theorem 63.84s 10.77s
% Output : Refutation 72.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 35
% Syntax : Number of formulae : 207 ( 47 unt; 19 def)
% Number of atoms : 857 ( 33 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1267 ( 617 ~; 611 |; 2 &)
% ( 25 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 30 ( 28 usr; 28 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 242 ( 0 sgn 241 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f16,axiom,
( kn1
<=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kn1) ).
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,
kn1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_kn1) ).
fof(f44,negated_conjecture,
~ kn1,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ kn1,
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] : is_a_theorem(implies(X0,and(X0,X0)))
=> kn1 ),
inference(unused_predicate_definition_removal,[],[f16]) ).
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,
( kn1
| ? [X0] : ~ is_a_theorem(implies(X0,and(X0,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,
( kn1
| ~ is_a_theorem(implies(sK0,and(sK0,sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[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,
( kn1
| ~ is_a_theorem(implies(sK0,and(sK0,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,
~ kn1,
inference(cnf_transformation,[],[f45]) ).
fof(f87,definition,
( spl1_1
<=> op_equiv ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f91,definition,
( spl1_2
<=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f92,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f74,f91,f87]) ).
fof(f95,definition,
( spl1_3
<=> op_implies_and ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f99,definition,
( spl1_4
<=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f73,f99,f95]) ).
fof(f111,definition,
( spl1_7
<=> cn3 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f115,definition,
( spl1_8
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( ~ spl1_7
| spl1_8 ),
inference(avatar_split_clause,[],[f71,f115,f111]) ).
fof(f119,definition,
( spl1_9
<=> cn2 ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f123,definition,
( spl1_10
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f124,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( ~ spl1_9
| spl1_10 ),
inference(avatar_split_clause,[],[f70,f123,f119]) ).
fof(f127,definition,
( spl1_11
<=> cn1 ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f131,definition,
( spl1_12
<=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f132,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( ~ spl1_11
| spl1_12 ),
inference(avatar_split_clause,[],[f69,f131,f127]) ).
fof(f135,definition,
( spl1_13
<=> is_a_theorem(implies(sK0,and(sK0,sK0))) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f137,plain,
( ~ is_a_theorem(implies(sK0,and(sK0,sK0)))
| spl1_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl1_14
<=> kn1 ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f142,plain,
( ~ spl1_13
| spl1_14 ),
inference(avatar_split_clause,[],[f68,f139,f135]) ).
fof(f144,definition,
( spl1_15
<=> substitution_of_equivalents ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f148,definition,
( spl1_16
<=> ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 )
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f150,plain,
( ~ spl1_15
| spl1_16 ),
inference(avatar_split_clause,[],[f67,f148,f144]) ).
fof(f152,definition,
( spl1_17
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f156,definition,
( spl1_18
<=> ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f157,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) )
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f158,plain,
( ~ spl1_17
| spl1_18 ),
inference(avatar_split_clause,[],[f66,f156,f152]) ).
fof(f159,plain,
~ spl1_14,
inference(avatar_split_clause,[],[f85,f139]) ).
fof(f161,plain,
spl1_1,
inference(avatar_split_clause,[],[f76,f87]) ).
fof(f162,plain,
spl1_17,
inference(avatar_split_clause,[],[f77,f152]) ).
fof(f163,plain,
spl1_11,
inference(avatar_split_clause,[],[f78,f127]) ).
fof(f164,plain,
spl1_9,
inference(avatar_split_clause,[],[f79,f119]) ).
fof(f165,plain,
spl1_7,
inference(avatar_split_clause,[],[f80,f111]) ).
fof(f166,plain,
spl1_15,
inference(avatar_split_clause,[],[f81,f144]) ).
fof(f167,plain,
spl1_3,
inference(avatar_split_clause,[],[f83,f95]) ).
fof(f168,plain,
( ! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) )
| ~ spl1_8
| ~ spl1_18 ),
inference(resolution,[],[f157,f116]) ).
fof(f169,plain,
( ! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) )
| ~ spl1_10
| ~ spl1_18 ),
inference(resolution,[],[f157,f124]) ).
fof(f179,plain,
( ! [X2,X0,X1] : implies(X2,and(X0,not(X1))) = not(and(X2,implies(X0,X1)))
| ~ spl1_4 ),
inference(superposition,[],[f100,f100]) ).
fof(f181,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),and(X0,not(X1))))
| is_a_theorem(and(X0,not(X1))) )
| ~ spl1_4
| ~ spl1_8
| ~ spl1_18 ),
inference(superposition,[],[f168,f100]) ).
fof(f190,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl1_12
| ~ spl1_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)) )
| ~ spl1_12
| ~ spl1_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)) )
| ~ spl1_10
| ~ spl1_12
| ~ spl1_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)) )
| ~ spl1_8
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f191,f116]) ).
fof(f203,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X1),X2)) )
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f192,f157]) ).
fof(f206,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f193,f124]) ).
fof(f208,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl1_8
| ~ spl1_12
| ~ spl1_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) )
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f203,f124]) ).
fof(f249,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X1) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f208,f169]) ).
fof(f257,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f249,f191]) ).
fof(f288,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f257,f124]) ).
fof(f306,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f288,f193]) ).
fof(f313,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f288,f208]) ).
fof(f319,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X2)) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f313,f191]) ).
fof(f327,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f306,f220]) ).
fof(f340,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),X2))
| ~ is_a_theorem(X0) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f327,f208]) ).
fof(f434,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(X0)) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f319,f192]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f319,f288]) ).
fof(f437,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f319,f132]) ).
fof(f463,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X1))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f436,f340]) ).
fof(f476,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(not(X1))
| ~ is_a_theorem(X0) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f434,f313]) ).
fof(f496,definition,
( spl1_25
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[spl1_25])],[avatar_definition]) ).
fof(f497,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f927,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(not(X1),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f437,f193]) ).
fof(f1226,plain,
( $false
| ~ spl1_12
| ~ spl1_25 ),
inference(backward_subsumption_resolution,[],[f132,f497]) ).
fof(f1249,plain,
( ~ spl1_12
| ~ spl1_25 ),
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f2491,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X3),X2))))
| ~ is_a_theorem(X3) )
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f463,f132]) ).
fof(f9027,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,not(X1)))
| ~ is_a_theorem(not(X1))
| ~ is_a_theorem(X0) )
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f181,f476]) ).
fof(f9122,plain,
( ! [X2,X0,X1] :
( is_a_theorem(and(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) )
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(superposition,[],[f9027,f100]) ).
fof(f9635,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(superposition,[],[f9122,f92]) ).
fof(f9652,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(X0) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f9635,f288]) ).
fof(f9702,plain,
( ! [X0] :
( is_a_theorem(equiv(X0,implies(not(X0),X0)))
| ~ is_a_theorem(implies(X0,implies(not(X0),X0))) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f9635,f116]) ).
fof(f9704,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)) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f9635,f927]) ).
fof(f9789,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,implies(not(X0),X1)))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f9704,f124]) ).
fof(f9790,plain,
( ! [X0] : is_a_theorem(equiv(X0,implies(not(X0),X0)))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f9702,f124]) ).
fof(f9794,plain,
( ! [X0] : implies(not(X0),X0) = X0
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(resolution,[],[f9790,f149]) ).
fof(f9912,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(not(X0),X1))))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(superposition,[],[f132,f9794]) ).
fof(f10293,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_18 ),
inference(resolution,[],[f9652,f288]) ).
fof(f10422,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| X0 = X1 )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(resolution,[],[f10293,f149]) ).
fof(f10440,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| implies(X1,X1) = X0 )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(resolution,[],[f10422,f206]) ).
fof(f10605,plain,
( ! [X0,X1] : implies(X0,X0) = implies(X1,X1)
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(resolution,[],[f10440,f206]) ).
fof(f11080,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X1,implies(X0,X0)))
| ~ is_a_theorem(X2) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(superposition,[],[f2491,f10605]) ).
fof(f11173,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ is_a_theorem(X1) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(superposition,[],[f340,f10605]) ).
fof(f11583,definition,
( spl1_340
<=> ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[spl1_340])],[avatar_definition]) ).
fof(f11584,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0)))
| ~ spl1_340 ),
inference(avatar_component_clause,[],[f11583]) ).
fof(f11635,definition,
( spl1_351
<=> ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2)) ),
introduced(definition,[new_symbols(definition,[spl1_351])],[avatar_definition]) ).
fof(f11636,plain,
( ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ spl1_351 ),
inference(avatar_component_clause,[],[f11635]) ).
fof(f11713,plain,
( spl1_25
| spl1_351
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f11173,f156,f148,f131,f123,f115,f99,f91,f11635,f496]) ).
fof(f11734,plain,
( spl1_25
| spl1_340
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f11080,f156,f148,f131,f123,f115,f99,f91,f11583,f496]) ).
fof(f37953,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| implies(not(X1),X0) = X1 )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(resolution,[],[f9789,f149]) ).
fof(f38406,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X1)
| implies(not(X0),not(X1)) = X0 )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(resolution,[],[f37953,f169]) ).
fof(f38475,plain,
( ! [X0,X1] : implies(not(X0),not(implies(X1,X1))) = X0
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(resolution,[],[f38406,f206]) ).
fof(f45836,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(implies(X0,X0),X0)))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(superposition,[],[f9912,f9794]) ).
fof(f45927,plain,
( ! [X0] :
( is_a_theorem(equiv(implies(implies(X0,X0),X0),X0))
| ~ is_a_theorem(implies(implies(implies(X0,X0),X0),X0)) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18 ),
inference(resolution,[],[f45836,f9635]) ).
fof(f46015,plain,
( ! [X0] : is_a_theorem(equiv(implies(implies(X0,X0),X0),X0))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(forward_subsumption_resolution,[],[f45927,f11636]) ).
fof(f46096,plain,
( ! [X0] : implies(implies(X0,X0),X0) = X0
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(resolution,[],[f46015,f149]) ).
fof(f46152,plain,
( ! [X0,X1] : implies(implies(X0,X0),X1) = X1
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(superposition,[],[f46096,f10605]) ).
fof(f46235,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ is_a_theorem(implies(X1,implies(X0,X0))) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(superposition,[],[f190,f46096]) ).
fof(f46453,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(forward_subsumption_resolution,[],[f46235,f11584]) ).
fof(f46500,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,not(X1)),X1),X1))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(resolution,[],[f46453,f208]) ).
fof(f46822,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X1,X1),X2),implies(implies(X2,X0),X0)))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(superposition,[],[f132,f46152]) ).
fof(f47072,plain,
( ! [X2,X0] : is_a_theorem(implies(X2,implies(implies(X2,X0),X0)))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(forward_demodulation,[],[f46822,f46152]) ).
fof(f48182,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,not(implies(X1,X1)))))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(superposition,[],[f47072,f38475]) ).
fof(f50681,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,implies(implies(X1,not(X0)),X0)))
| ~ is_a_theorem(implies(X0,implies(implies(X1,not(X0)),X0))) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(resolution,[],[f46500,f9635]) ).
fof(f50794,plain,
( ! [X0,X1] : is_a_theorem(equiv(X0,implies(implies(X1,not(X0)),X0)))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(forward_subsumption_resolution,[],[f50681,f46453]) ).
fof(f53226,plain,
( ! [X0,X1] : implies(implies(X1,not(X0)),X0) = X0
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(resolution,[],[f50794,f149]) ).
fof(f56689,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(superposition,[],[f48182,f38475]) ).
fof(f56745,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,not(X0)),not(X0)))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(resolution,[],[f56689,f208]) ).
fof(f56757,plain,
( ! [X0] : implies(not(X0),not(not(X0))) = X0
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(resolution,[],[f56689,f37953]) ).
fof(f57238,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(superposition,[],[f56745,f56757]) ).
fof(f57245,plain,
( ! [X0] : not(X0) = implies(X0,not(X0))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(superposition,[],[f53226,f56757]) ).
fof(f57378,plain,
( ! [X0] :
( is_a_theorem(equiv(not(not(X0)),X0))
| ~ is_a_theorem(implies(not(not(X0)),X0)) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(resolution,[],[f57238,f9635]) ).
fof(f57454,plain,
( ! [X0] : is_a_theorem(equiv(not(not(X0)),X0))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(forward_subsumption_resolution,[],[f57378,f56689]) ).
fof(f57470,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_351 ),
inference(resolution,[],[f57454,f149]) ).
fof(f58376,plain,
( ! [X0,X1] : not(and(X1,not(X0))) = implies(X1,and(X0,not(not(X0))))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(superposition,[],[f179,f57245]) ).
fof(f58661,plain,
( ! [X0,X1] : not(and(X1,not(X0))) = implies(X1,and(X0,X0))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(forward_demodulation,[],[f58376,f57470]) ).
fof(f58678,plain,
( ! [X0,X1] : implies(X1,X0) = implies(X1,and(X0,X0))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(forward_demodulation,[],[f58661,f100]) ).
fof(f70407,plain,
( ~ is_a_theorem(implies(sK0,sK0))
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| spl1_13
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(backward_demodulation,[],[f137,f58678]) ).
fof(f70912,plain,
( $false
| ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| spl1_13
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(forward_subsumption_resolution,[],[f70407,f206]) ).
fof(f70913,plain,
( ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| spl1_13
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(avatar_contradiction_clause,[],[f70912]) ).
cnf(s1,plain,
( ~ spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f101]) ).
cnf(s4,plain,
( ~ spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f117]) ).
cnf(s5,plain,
( ~ spl1_9
| spl1_10 ),
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
( ~ spl1_11
| spl1_12 ),
inference(sat_conversion,[],[f133]) ).
cnf(s7,plain,
( ~ spl1_13
| spl1_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s8,plain,
( ~ spl1_15
| spl1_16 ),
inference(sat_conversion,[],[f150]) ).
cnf(s9,plain,
( ~ spl1_17
| spl1_18 ),
inference(sat_conversion,[],[f158]) ).
cnf(s10,plain,
~ spl1_14,
inference(sat_conversion,[],[f159]) ).
cnf(s12,plain,
spl1_1,
inference(sat_conversion,[],[f161]) ).
cnf(s13,plain,
spl1_17,
inference(sat_conversion,[],[f162]) ).
cnf(s14,plain,
spl1_11,
inference(sat_conversion,[],[f163]) ).
cnf(s15,plain,
spl1_9,
inference(sat_conversion,[],[f164]) ).
cnf(s16,plain,
spl1_7,
inference(sat_conversion,[],[f165]) ).
cnf(s17,plain,
spl1_15,
inference(sat_conversion,[],[f166]) ).
cnf(s19,plain,
spl1_3,
inference(sat_conversion,[],[f167]) ).
cnf(s93,plain,
( ~ spl1_12
| ~ spl1_25 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s1683,plain,
( ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| spl1_25
| spl1_351 ),
inference(sat_conversion,[],[f11713]) ).
cnf(s1712,plain,
( ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| ~ spl1_16
| ~ spl1_18
| spl1_25
| spl1_340 ),
inference(sat_conversion,[],[f11734]) ).
cnf(s3047,plain,
( ~ spl1_2
| ~ spl1_4
| ~ spl1_8
| ~ spl1_10
| ~ spl1_12
| spl1_13
| ~ spl1_16
| ~ spl1_18
| ~ spl1_340
| ~ spl1_351 ),
inference(sat_conversion,[],[f70913]) ).
cnf(s3048,plain,
spl1_18,
inference(rat,[],[s9,s13]) ).
cnf(s3049,plain,
spl1_16,
inference(rat,[],[s8,s17]) ).
cnf(s3050,plain,
~ spl1_13,
inference(rat,[],[s7,s10]) ).
cnf(s3052,plain,
spl1_12,
inference(rat,[],[s6,s14]) ).
cnf(s3053,plain,
~ spl1_25,
inference(rat,[],[s93,s3052]) ).
cnf(s3054,plain,
spl1_10,
inference(rat,[],[s5,s15]) ).
cnf(s3057,plain,
spl1_8,
inference(rat,[],[s4,s16]) ).
cnf(s3102,plain,
spl1_4,
inference(rat,[],[s2,s19]) ).
cnf(s3116,plain,
spl1_2,
inference(rat,[],[s1,s12]) ).
cnf(s3242,plain,
spl1_340,
inference(rat,[],[s1712,s3102,s3053,s3048,s3049,s3052,s3054,s3057,s3116]) ).
cnf(s3243,plain,
spl1_351,
inference(rat,[],[s1683,s3102,s3053,s3048,s3049,s3052,s3054,s3057,s3116]) ).
cnf(s3349,plain,
$false,
inference(rat,[],[s3047,s3116,s3102,s3048,s3049,s3050,s3052,s3054,s3057,s3243,s3242]) ).
fof(f70919,plain,
$false,
inference(avatar_sat_refutation,[],[s3349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL480+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 15:49:21 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 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
% 11.56/2.24 % (374772)Detected formulas, will run a generic FOF schedule.
% 11.56/2.24 % (374782)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4013715292:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.56/2.24 % (374779)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=3826207631:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.56/2.24 % (374780)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3231063797:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.56/2.24 % (374781)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3622334649:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.56/2.24 % (374777)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=2725962769:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.56/2.24 % (374783)dis-21_1_sil=8000:lcm=predicate:random_seed=733997530: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)
% 11.56/2.24 % (374778)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=2286076273:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.56/2.24 % (374781)Refutation not found, incomplete strategy
% 11.56/2.24 % (374781)------------------------------
% 11.56/2.24 % (374781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.24 % (374781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.24 % (374780)Refutation not found, incomplete strategy
% 11.56/2.24 % (374780)------------------------------
% 11.56/2.24 % (374780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.24 % (374781)CaDiCaL version: 2.1.3
% 11.56/2.24 % (374780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.24 % (374781)Termination reason: Refutation not found, incomplete strategy
% 11.56/2.24 % (374781)Time elapsed: 0.001 s
% 11.56/2.24 % (374781)Peak memory usage: 86 MB
% 11.56/2.24 % (374780)CaDiCaL version: 2.1.3
% 11.56/2.24 % (374780)Termination reason: Refutation not found, incomplete strategy
% 11.56/2.24 % (374780)Time elapsed: 0.001 s
% 11.56/2.24 % (374780)Peak memory usage: 86 MB
% 11.56/2.24 % (374783)Refutation not found, incomplete strategy
% 11.56/2.24 % (374783)------------------------------
% 11.56/2.24 % (374783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.24 % (374783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.24 % (374783)CaDiCaL version: 2.1.3
% 11.56/2.24 % (374783)Termination reason: Refutation not found, incomplete strategy
% 11.56/2.24 % (374783)Time elapsed: 0.002 s
% 11.56/2.24 % (374783)Peak memory usage: 88 MB
% 11.56/2.24 % (374783)Instructions burned: 1 (million)
% 11.56/2.24 % (374782)Instruction limit reached!
% 11.56/2.24 % (374782)------------------------------
% 11.56/2.24 % (374782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.24 % (374782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.24 % (374782)CaDiCaL version: 2.1.3
% 11.56/2.24 % (374782)Termination reason: Instruction limit
% 11.56/2.24 % (374782)Termination phase: Saturation
% 11.56/2.24 % (374782)Time elapsed: 0.050 s
% 11.56/2.24 % (374782)Peak memory usage: 90 MB
% 11.56/2.24 % (374782)Instructions burned: 141 (million)
% 11.56/2.24 % (374791)lrs+10_1_sil=8000:sp=occurrence:random_seed=942674810:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.56/2.24 % (374791)Refutation not found, incomplete strategy
% 11.56/2.24 % (374791)------------------------------
% 11.56/2.24 % (374791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.24 % (374791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.24 % (374791)CaDiCaL version: 2.1.3
% 11.56/2.24 % (374791)Termination reason: Refutation not found, incomplete strategy
% 11.56/2.24 % (374791)Time elapsed: 0.0000 s
% 11.56/2.24 % (374791)Peak memory usage: 87 MB
% 11.56/2.24 % (374783)------------------------------
% 11.56/2.24 % (374783)------------------------------
% 11.56/2.24 % (374781)------------------------------
% 11.56/2.24 % (374781)------------------------------
% 11.56/2.24 % (374780)------------------------------
% 12.43/2.47 % (374780)------------------------------
% 12.43/2.47 % (374791)------------------------------
% 12.43/2.47 % (374791)------------------------------
% 12.43/2.47 % (374793)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2181487986:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 12.43/2.47 % (374795)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=1569858407:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.43/2.47 % (374794)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3065986822:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.43/2.47 % (374794)Refutation not found, incomplete strategy
% 12.43/2.47 % (374794)------------------------------
% 12.43/2.47 % (374794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.47 % (374794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.47 % (374794)CaDiCaL version: 2.1.3
% 12.43/2.47 % (374794)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.47 % (374794)Time elapsed: 0.001 s
% 12.43/2.47 % (374793)Refutation not found, incomplete strategy
% 12.43/2.47 % (374793)------------------------------
% 12.43/2.47 % (374793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.47 % (374794)Peak memory usage: 87 MB
% 12.43/2.47 % (374793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.47 % (374793)CaDiCaL version: 2.1.3
% 12.43/2.47 % (374793)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.47 % (374793)Time elapsed: 0.001 s
% 12.43/2.47 % (374793)Peak memory usage: 87 MB
% 12.43/2.47 % (374796)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1415855303:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.43/2.47 % (374796)Refutation not found, incomplete strategy
% 12.43/2.47 % (374796)------------------------------
% 12.43/2.47 % (374796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.47 % (374796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.47 % (374796)CaDiCaL version: 2.1.3
% 12.43/2.47 % (374796)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.47 % (374796)Time elapsed: 0.0000 s
% 12.43/2.47 % (374796)Peak memory usage: 86 MB
% 12.43/2.47 % (374779)Refutation not found, incomplete strategy
% 12.43/2.47 % (374779)------------------------------
% 12.43/2.47 % (374779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.47 % (374779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.47 % (374779)CaDiCaL version: 2.1.3
% 12.43/2.47 % (374779)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.47 % (374779)Time elapsed: 0.563 s
% 12.43/2.47 % (374779)Peak memory usage: 125 MB
% 12.43/2.47 % (374779)Instructions burned: 832 (million)
% 12.43/2.47 % (374795)Instruction limit reached!
% 12.43/2.47 % (374795)------------------------------
% 12.43/2.47 % (374795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.47 % (374795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.47 % (374795)CaDiCaL version: 2.1.3
% 12.43/2.47 % (374795)Termination reason: Instruction limit
% 12.43/2.47 % (374795)Termination phase: Saturation
% 12.43/2.47 % (374795)Time elapsed: 0.160 s
% 12.43/2.47 % (374795)Peak memory usage: 92 MB
% 12.43/2.47 % (374795)Instructions burned: 248 (million)
% 12.43/2.47 % (374796)------------------------------
% 12.43/2.47 % (374796)------------------------------
% 12.43/2.47 % (374794)------------------------------
% 12.43/2.47 % (374794)------------------------------
% 12.43/2.47 % (374793)------------------------------
% 12.43/2.47 % (374793)------------------------------
% 12.43/2.47 % (374802)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2572364643:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.43/2.47 % (374802)Refutation not found, incomplete strategy
% 12.43/2.47 % (374802)------------------------------
% 12.43/2.47 % (374802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.47 % (374802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.47 % (374802)CaDiCaL version: 2.1.3
% 12.43/2.47 % (374802)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.47 % (374802)Time elapsed: 0.001 s
% 12.43/2.47 % (374802)Peak memory usage: 88 MB
% 12.43/2.47 % (374801)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=786500984:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 15.74/2.96 % (374803)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3065227894:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 15.74/2.96 % (374779)------------------------------
% 15.74/2.96 % (374779)------------------------------
% 15.74/2.96 % (374804)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1967095328:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 15.74/2.96 % (374804)Refutation not found, incomplete strategy
% 15.74/2.96 % (374804)------------------------------
% 15.74/2.96 % (374804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/2.96 % (374804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/2.96 % (374804)CaDiCaL version: 2.1.3
% 15.74/2.96 % (374804)Termination reason: Refutation not found, incomplete strategy
% 15.74/2.96 % (374804)Time elapsed: 0.001 s
% 15.74/2.96 % (374804)Peak memory usage: 87 MB
% 15.74/2.96 % (374802)------------------------------
% 15.74/2.96 % (374802)------------------------------
% 15.74/2.96 % (374803)Instruction limit reached!
% 15.74/2.96 % (374803)------------------------------
% 15.74/2.96 % (374803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/2.96 % (374803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/2.96 % (374803)CaDiCaL version: 2.1.3
% 15.74/2.96 % (374803)Termination reason: Instruction limit
% 15.74/2.96 % (374803)Termination phase: Saturation
% 15.74/2.96 % (374803)Time elapsed: 0.073 s
% 15.74/2.96 % (374803)Peak memory usage: 89 MB
% 15.74/2.96 % (374803)Instructions burned: 129 (million)
% 15.74/2.96 % (374810)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=126070013:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 15.74/2.96 % (374810)Refutation not found, incomplete strategy
% 15.74/2.96 % (374810)------------------------------
% 15.74/2.96 % (374810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/2.96 % (374810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/2.96 % (374810)CaDiCaL version: 2.1.3
% 15.74/2.97 % (374810)Termination reason: Refutation not found, incomplete strategy
% 15.74/2.97 % (374810)Time elapsed: 0.001 s
% 15.74/2.97 % (374810)Peak memory usage: 88 MB
% 15.74/2.97 % (374808)lrs+10_1_sil=8000:sp=occurrence:random_seed=765709242:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 15.74/2.97 % (374811)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=420179764:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 15.74/2.97 % (374804)------------------------------
% 15.74/2.97 % (374804)------------------------------
% 15.74/2.97 % (374810)------------------------------
% 15.74/2.97 % (374810)------------------------------
% 15.74/2.97 % (374815)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1931758476:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 15.74/2.97 % (374815)Refutation not found, incomplete strategy
% 15.74/2.97 % (374815)------------------------------
% 15.74/2.97 % (374815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/2.97 % (374815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/2.97 % (374815)CaDiCaL version: 2.1.3
% 15.74/2.97 % (374815)Termination reason: Refutation not found, incomplete strategy
% 15.74/2.97 % (374815)Time elapsed: 0.001 s
% 15.74/2.97 % (374815)Peak memory usage: 89 MB
% 15.74/2.97 % (374816)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3257239512:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 15.74/2.97 % (374816)Refutation not found, incomplete strategy
% 15.74/2.97 % (374816)------------------------------
% 15.74/2.97 % (374816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/2.97 % (374816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/2.97 % (374816)CaDiCaL version: 2.1.3
% 15.74/2.97 % (374816)Termination reason: Refutation not found, incomplete strategy
% 15.74/2.97 % (374816)Time elapsed: 0.001 s
% 15.74/2.97 % (374816)Peak memory usage: 88 MB
% 15.74/2.97 % (374816)------------------------------
% 15.74/2.97 % (374816)------------------------------
% 15.74/2.97 % (374815)------------------------------
% 15.74/2.97 % (374815)------------------------------
% 15.74/2.97 % (374808)Instruction limit reached!
% 20.72/3.60 % (374808)------------------------------
% 20.72/3.60 % (374808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.72/3.60 % (374808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.72/3.60 % (374808)CaDiCaL version: 2.1.3
% 20.72/3.60 % (374808)Termination reason: Instruction limit
% 20.72/3.60 % (374808)Termination phase: Saturation
% 20.72/3.60 % (374808)Time elapsed: 0.516 s
% 20.72/3.60 % (374808)Peak memory usage: 99 MB
% 20.72/3.60 % (374808)Instructions burned: 908 (million)
% 20.72/3.60 % (374819)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1618706510:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 20.72/3.60 % (374820)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=1039320565:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 20.72/3.60 % (374820)Refutation not found, incomplete strategy
% 20.72/3.60 % (374820)------------------------------
% 20.72/3.60 % (374820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.72/3.60 % (374820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.72/3.60 % (374820)CaDiCaL version: 2.1.3
% 20.72/3.60 % (374820)Termination reason: Refutation not found, incomplete strategy
% 20.72/3.60 % (374820)Time elapsed: 0.001 s
% 20.72/3.60 % (374820)Peak memory usage: 87 MB
% 20.72/3.60 % (374821)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4239464105:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 20.72/3.60 [W927 15:49:23.988130413 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.
% 20.72/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.72/3.60 [W927 15:49:23.988157981 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.
% 20.72/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.72/3.60 [W927 15:49:23.988179427 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.
% 20.72/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.72/3.60 [W927 15:49:23.988185466 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.
% 20.72/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.72/3.60 [W927 15:49:23.988198097 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.
% 20.72/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.72/3.60 [W927 15:49:23.988203453 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.
% 20.72/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.72/3.60 [W927 15:49:23.988216440 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.
% 20.72/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.72/3.60 [W927 15:49:23.988221933 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.
% 20.72/3.60 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 20.72/3.60 [W927 15:49:23.988237243 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 32.77/5.30 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.77/5.30 [W927 15:49:23.988242866 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 32.77/5.30 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.77/5.30 [W927 15:49:23.988256202 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 32.77/5.30 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.77/5.30 [W927 15:49:23.988261566 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 32.77/5.30 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 32.77/5.30 % (374821)Instruction limit reached!
% 32.77/5.30 % (374821)------------------------------
% 32.77/5.30 % (374821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/5.30 % (374821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/5.30 % (374821)CaDiCaL version: 2.1.3
% 32.77/5.30 % (374821)Termination reason: Instruction limit
% 32.77/5.30 % (374821)Termination phase: Saturation
% 32.77/5.30 % (374821)Time elapsed: 0.095 s
% 32.77/5.30 % (374821)Peak memory usage: 90 MB
% 32.77/5.30 % (374821)Instructions burned: 135 (million)
% 32.77/5.30 % (374820)------------------------------
% 32.77/5.30 % (374820)------------------------------
% 32.77/5.30 % (374819)Refutation not found, incomplete strategy
% 32.77/5.30 % (374819)------------------------------
% 32.77/5.30 % (374819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/5.30 % (374819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/5.30 % (374819)CaDiCaL version: 2.1.3
% 32.77/5.30 % (374819)Termination reason: Refutation not found, incomplete strategy
% 32.77/5.30 % (374819)Time elapsed: 0.344 s
% 32.77/5.30 % (374819)Peak memory usage: 125 MB
% 32.77/5.30 % (374819)Instructions burned: 825 (million)
% 32.77/5.30 % (374825)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3465267670:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 32.77/5.30 % (374825)Refutation not found, incomplete strategy
% 32.77/5.30 % (374825)------------------------------
% 32.77/5.30 % (374825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/5.30 % (374825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/5.30 % (374825)CaDiCaL version: 2.1.3
% 32.77/5.30 % (374825)Termination reason: Refutation not found, incomplete strategy
% 32.77/5.30 % (374825)Time elapsed: 0.001 s
% 32.77/5.30 % (374825)Peak memory usage: 87 MB
% 32.77/5.30 % (374819)------------------------------
% 32.77/5.30 % (374819)------------------------------
% 32.77/5.30 % (374826)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2046300542:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 32.77/5.30 % (374826)Refutation not found, incomplete strategy
% 32.77/5.30 % (374826)------------------------------
% 32.77/5.30 % (374826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/5.30 % (374826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/5.30 % (374826)CaDiCaL version: 2.1.3
% 32.77/5.30 % (374826)Termination reason: Refutation not found, incomplete strategy
% 32.77/5.30 % (374826)Time elapsed: 0.001 s
% 32.77/5.30 % (374826)Peak memory usage: 86 MB
% 32.77/5.30 % (374828)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=391063351:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 32.77/5.30 % (374825)------------------------------
% 32.77/5.30 % (374825)------------------------------
% 32.77/5.30 % (374801)Instruction limit reached!
% 32.77/5.30 % (374801)------------------------------
% 32.77/5.30 % (374801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.97/5.46 % (374801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.46 % (374801)CaDiCaL version: 2.1.3
% 33.97/5.46 % (374801)Termination reason: Instruction limit
% 33.97/5.46 % (374801)Termination phase: Saturation
% 33.97/5.46 % (374801)Time elapsed: 1.513 s
% 33.97/5.46 % (374801)Peak memory usage: 141 MB
% 33.97/5.46 % (374801)Instructions burned: 2351 (million)
% 33.97/5.46 % (374826)------------------------------
% 33.97/5.46 % (374826)------------------------------
% 33.97/5.46 % (374831)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=3768061995:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 33.97/5.46 % (374832)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3908364776:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 33.97/5.46 % (374831)Instruction limit reached!
% 33.97/5.46 % (374831)------------------------------
% 33.97/5.46 % (374831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.97/5.46 % (374831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.46 % (374831)CaDiCaL version: 2.1.3
% 33.97/5.46 % (374831)Termination reason: Instruction limit
% 33.97/5.46 % (374831)Termination phase: Saturation
% 33.97/5.46 % (374831)Time elapsed: 0.095 s
% 33.97/5.46 % (374831)Peak memory usage: 91 MB
% 33.97/5.46 % (374831)Instructions burned: 151 (million)
% 33.97/5.46 % (374833)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=773779339:i=667:av=off:fsr=off_2975 on theBenchmark for (2975ds/667Mi)
% 33.97/5.46 % (374833)Refutation not found, incomplete strategy
% 33.97/5.46 % (374833)------------------------------
% 33.97/5.46 % (374833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.97/5.46 % (374833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.46 % (374833)CaDiCaL version: 2.1.3
% 33.97/5.46 % (374833)Termination reason: Refutation not found, incomplete strategy
% 33.97/5.46 % (374833)Time elapsed: 0.001 s
% 33.97/5.46 % (374833)Peak memory usage: 88 MB
% 33.97/5.46 % (374836)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=2563429531:s2a=on:i=185:s2at=1.8:fdi=4_2974 on theBenchmark for (2974ds/185Mi)
% 33.97/5.46 % (374833)------------------------------
% 33.97/5.46 % (374833)------------------------------
% 33.97/5.46 % (374836)Instruction limit reached!
% 33.97/5.46 % (374836)------------------------------
% 33.97/5.46 % (374836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.97/5.46 % (374836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.46 % (374836)CaDiCaL version: 2.1.3
% 33.97/5.46 % (374836)Termination reason: Instruction limit
% 33.97/5.46 % (374836)Termination phase: Saturation
% 33.97/5.46 % (374836)Time elapsed: 0.120 s
% 33.97/5.46 % (374836)Peak memory usage: 91 MB
% 33.97/5.46 % (374836)Instructions burned: 185 (million)
% 33.97/5.46 % (374840)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1569933118:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2971 on theBenchmark for (2971ds/4850Mi)
% 33.97/5.46 % (374839)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1952249399:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2971 on theBenchmark for (2971ds/193Mi)
% 33.97/5.46 % (374839)Refutation not found, incomplete strategy
% 33.97/5.46 % (374839)------------------------------
% 33.97/5.46 % (374839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.97/5.46 % (374839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.46 % (374839)CaDiCaL version: 2.1.3
% 33.97/5.46 % (374839)Termination reason: Refutation not found, incomplete strategy
% 33.97/5.46 % (374839)Time elapsed: 0.001 s
% 33.97/5.46 % (374839)Peak memory usage: 86 MB
% 33.97/5.46 % (374840)Refutation not found, incomplete strategy
% 33.97/5.46 % (374840)------------------------------
% 33.97/5.46 % (374840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.97/5.46 % (374840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.97/5.46 % (374840)CaDiCaL version: 2.1.3
% 33.97/5.46 % (374840)Termination reason: Refutation not found, incomplete strategy
% 33.97/5.46 % (374840)Time elapsed: 0.001 s
% 45.82/7.09 % (374840)Peak memory usage: 88 MB
% 45.82/7.09 % (374840)------------------------------
% 45.82/7.09 % (374840)------------------------------
% 45.82/7.09 % (374839)------------------------------
% 45.82/7.09 % (374839)------------------------------
% 45.82/7.09 % (374843)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1563336792:i=12111:sd=1:ss=included_2967 on theBenchmark for (2967ds/12111Mi)
% 45.82/7.09 % (374844)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4025796144:i=319:kws=precedence:fsr=off_2967 on theBenchmark for (2967ds/319Mi)
% 45.82/7.09 % (374844)Instruction limit reached!
% 45.82/7.09 % (374844)------------------------------
% 45.82/7.09 % (374844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.82/7.09 % (374844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/7.09 % (374844)CaDiCaL version: 2.1.3
% 45.82/7.09 % (374844)Termination reason: Instruction limit
% 45.82/7.09 % (374844)Termination phase: Saturation
% 45.82/7.09 % (374844)Time elapsed: 0.208 s
% 45.82/7.09 % (374844)Peak memory usage: 92 MB
% 45.82/7.09 % (374844)Instructions burned: 320 (million)
% 45.82/7.09 % (374847)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1618535685:i=2064:ep=RST_2963 on theBenchmark for (2963ds/2064Mi)
% 45.82/7.09 % (374847)Refutation not found, incomplete strategy
% 45.82/7.09 % (374847)------------------------------
% 45.82/7.09 % (374847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.82/7.09 % (374847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/7.09 % (374847)CaDiCaL version: 2.1.3
% 45.82/7.09 % (374847)Termination reason: Refutation not found, incomplete strategy
% 45.82/7.09 % (374847)Time elapsed: 0.001 s
% 45.82/7.09 % (374847)Peak memory usage: 88 MB
% 45.82/7.09 % (374847)Instructions burned: 1 (million)
% 45.82/7.09 % (374847)------------------------------
% 45.82/7.09 % (374847)------------------------------
% 45.82/7.09 % (374828)Instruction limit reached!
% 45.82/7.09 % (374828)------------------------------
% 45.82/7.09 % (374828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.82/7.09 % (374828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/7.09 % (374828)CaDiCaL version: 2.1.3
% 45.82/7.09 % (374828)Termination reason: Instruction limit
% 45.82/7.09 % (374828)Termination phase: Saturation
% 45.82/7.09 % (374828)Time elapsed: 1.816 s
% 45.82/7.09 % (374828)Peak memory usage: 140 MB
% 45.82/7.09 % (374828)Instructions burned: 6063 (million)
% 45.82/7.09 % (374811)Instruction limit reached!
% 45.82/7.09 % (374811)------------------------------
% 45.82/7.09 % (374811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.82/7.09 % (374811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/7.09 % (374811)CaDiCaL version: 2.1.3
% 45.82/7.09 % (374811)Termination reason: Instruction limit
% 45.82/7.09 % (374811)Termination phase: Saturation
% 45.82/7.09 % (374811)Time elapsed: 2.966 s
% 45.82/7.09 % (374811)Peak memory usage: 171 MB
% 45.82/7.09 % (374811)Instructions burned: 5202 (million)
% 45.82/7.09 % (374849)dis-1011_128_sil=32000:random_seed=3400607050:i=3706:ep=RST:av=off_2959 on theBenchmark for (2959ds/3706Mi)
% 45.82/7.09 % (374850)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=461708320:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2958 on theBenchmark for (2958ds/757Mi)
% 45.82/7.09 % (374850)Refutation not found, incomplete strategy
% 45.82/7.09 % (374850)------------------------------
% 45.82/7.09 % (374850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.82/7.09 % (374850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/7.09 % (374850)CaDiCaL version: 2.1.3
% 45.82/7.09 % (374850)Termination reason: Refutation not found, incomplete strategy
% 45.82/7.09 % (374850)Time elapsed: 0.001 s
% 45.82/7.09 % (374850)Peak memory usage: 87 MB
% 45.82/7.09 % (374851)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=322936332:i=13913:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/13913Mi)
% 45.82/7.09 % (374850)------------------------------
% 45.82/7.09 % (374850)------------------------------
% 45.82/7.09 % (374855)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2312162706:i=9925:aac=none_2954 on theBenchmark for (2954ds/9925Mi)
% 45.82/7.09 [W927 15:49:26.813410243 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813442087 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813481997 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813493463 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813518917 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813529763 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813573167 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813583927 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813608130 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813618250 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813642597 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 [W927 15:49:26.813652797 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.
% 52.87/8.11 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 52.87/8.11 % (374851)Refutation not found, incomplete strategy
% 52.87/8.11 % (374851)------------------------------
% 52.87/8.11 % (374851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.87/8.11 % (374851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.87/8.11 % (374851)CaDiCaL version: 2.1.3
% 52.87/8.11 % (374851)Termination reason: Refutation not found, incomplete strategy
% 52.87/8.11 % (374851)Time elapsed: 0.548 s
% 63.84/10.77 % (374851)Peak memory usage: 125 MB
% 63.84/10.77 % (374851)Instructions burned: 827 (million)
% 63.84/10.77 % (374851)------------------------------
% 63.84/10.77 % (374851)------------------------------
% 63.84/10.77 % (374857)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2151276911:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2948 on theBenchmark for (2948ds/2479Mi)
% 63.84/10.77 % (374857)Refutation not found, incomplete strategy
% 63.84/10.77 % (374857)------------------------------
% 63.84/10.77 % (374857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.84/10.77 % (374857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.84/10.77 % (374857)CaDiCaL version: 2.1.3
% 63.84/10.77 % (374857)Termination reason: Refutation not found, incomplete strategy
% 63.84/10.77 % (374857)Time elapsed: 0.001 s
% 63.84/10.77 % (374857)Peak memory usage: 87 MB
% 63.84/10.77 % (374857)------------------------------
% 63.84/10.77 % (374857)------------------------------
% 63.84/10.77 % (374859)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3684422379:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2944 on theBenchmark for (2944ds/440Mi)
% 63.84/10.77 % (374859)Instruction limit reached!
% 63.84/10.77 % (374859)------------------------------
% 63.84/10.77 % (374859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.84/10.77 % (374859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.84/10.77 % (374859)CaDiCaL version: 2.1.3
% 63.84/10.77 % (374859)Termination reason: Instruction limit
% 63.84/10.77 % (374859)Termination phase: Saturation
% 63.84/10.77 % (374859)Time elapsed: 0.240 s
% 63.84/10.77 % (374859)Peak memory usage: 95 MB
% 63.84/10.77 % (374859)Instructions burned: 440 (million)
% 63.84/10.77 % (374861)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2543409649:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2940 on theBenchmark for (2940ds/11145Mi)
% 63.84/10.77 [W927 15:49:28.609937434 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.609982051 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610030827 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610043487 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610073838 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610085968 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610112854 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610124984 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610151574 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610162458 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610190901 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 [W927 15:49:28.610201461 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 63.84/10.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 63.84/10.77 % (374849)Instruction limit reached!
% 63.84/10.77 % (374849)------------------------------
% 63.84/10.77 % (374849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.84/10.77 % (374849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.84/10.77 % (374849)CaDiCaL version: 2.1.3
% 63.84/10.77 % (374849)Termination reason: Instruction limit
% 63.84/10.77 % (374849)Termination phase: Saturation
% 63.84/10.77 % (374849)Time elapsed: 2.373 s
% 63.84/10.77 % (374849)Peak memory usage: 106 MB
% 63.84/10.77 % (374849)Instructions burned: 3707 (million)
% 63.84/10.77 % (374861)Refutation not found, incomplete strategy
% 63.84/10.77 % (374861)------------------------------
% 63.84/10.77 % (374861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.84/10.77 % (374861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.84/10.77 % (374861)CaDiCaL version: 2.1.3
% 63.84/10.77 % (374861)Termination reason: Refutation not found, incomplete strategy
% 63.84/10.77 % (374861)Time elapsed: 0.558 s
% 63.84/10.77 % (374861)Peak memory usage: 126 MB
% 63.84/10.77 % (374861)Instructions burned: 826 (million)
% 63.84/10.77 % (374863)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=26828022:cts=off:i=3034:av=off:er=known:fsd=on_2934 on theBenchmark for (2934ds/3034Mi)
% 63.84/10.77 % (374861)------------------------------
% 63.84/10.77 % (374861)------------------------------
% 63.84/10.77 % (374865)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3760992380:st=2:s2a=on:i=524:s2at=2:ss=axioms_2930 on theBenchmark for (2930ds/524Mi)
% 63.84/10.77 % (374865)Refutation not found, incomplete strategy
% 63.84/10.77 % (374865)------------------------------
% 63.84/10.77 % (374865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.84/10.77 % (374865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.84/10.77 % (374865)CaDiCaL version: 2.1.3
% 63.84/10.77 % (374865)Termination reason: Refutation not found, incomplete strategy
% 63.84/10.77 % (374865)Time elapsed: 0.001 s
% 63.84/10.77 % (374865)Peak memory usage: 87 MB
% 63.84/10.77 % (374865)------------------------------
% 63.84/10.77 % (374865)------------------------------
% 63.84/10.77 % (374867)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=944804997:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2926 on theBenchmark for (2926ds/1016Mi)
% 63.84/10.77 % (374867)Refutation not found, incomplete strategy
% 63.84/10.77 % (374867)------------------------------
% 63.84/10.77 % (374867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.84/10.77 % (374867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.84/10.77 % (374867)CaDiCaL version: 2.1.3
% 63.84/10.77 % (374867)Termination reason: Refutation not found, incomplete strategy
% 63.84/10.77 % (374867)Time elapsed: 0.001 s
% 63.84/10.77 % (374867)Peak memory usage: 87 MB
% 63.84/10.77 % (374867)------------------------------
% 63.84/10.77 % (374867)------------------------------
% 63.84/10.77 % (374869)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1722251335:i=14123:bd=preordered:ins=4_2922 on theBenchmark for (2922ds/14123Mi)
% 63.84/10.77 % (374863)Instruction limit reached!
% 63.84/10.77 % (374863)------------------------------
% 63.84/10.77 % (374863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.84/10.77 % (374863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.84/10.77 % (374863)CaDiCaL version: 2.1.3
% 63.84/10.77 % (374863)Termination reason: Instruction limit
% 63.84/10.77 % (374863)Termination phase: Saturation
% 63.84/10.77 % (374863)Time elapsed: 1.732 s
% 63.84/10.77 % (374863)Peak memory usage: 143 MB
% 63.84/10.77 % (374863)Instructions burned: 3034 (million)
% 63.84/10.77 % (374871)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=4093000604:i=5781:kws=precedence:bd=all:rawr=on_2915 on theBenchmark for (2915ds/5781Mi)
% 63.84/10.77 % (374871)First to succeed.
% 63.84/10.77 % (374871)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-374772"
% 63.84/10.77 % (374843)Instruction limit reached!
% 63.84/10.77 % (374843)------------------------------
% 63.84/10.77 % (374843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.84/10.77 % (374843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.84/10.77 % (374843)CaDiCaL version: 2.1.3
% 63.84/10.77 % (374843)Termination reason: Instruction limit
% 63.84/10.77 % (374843)Termination phase: Saturation
% 63.84/10.77 % (374843)Time elapsed: 6.476 s
% 63.84/10.77 % (374843)Peak memory usage: 263 MB
% 63.84/10.77 % (374843)Instructions burned: 12113 (million)
% 63.84/10.77 % (374873)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=2083334062:i=2448:gtgl=5:bd=preordered:gtg=all_2900 on theBenchmark for (2900ds/2448Mi)
% 63.84/10.77 % (374832)Instruction limit reached!
% 63.84/10.77 % (374832)------------------------------
% 63.84/10.77 % (374832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.84/10.77 % (374832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.84/10.77 % (374832)CaDiCaL version: 2.1.3
% 63.84/10.77 % (374832)Termination reason: Instruction limit
% 63.84/10.77 % (374832)Termination phase: Saturation
% 63.84/10.77 % (374832)Time elapsed: 7.542 s
% 63.84/10.77 % (374832)Peak memory usage: 242 MB
% 63.84/10.77 % (374832)Instructions burned: 14156 (million)
% 63.84/10.77 % (374871)Refutation found. Thanks to Tanya!
% 63.84/10.77 % SZS status Theorem for theBenchmark
% 63.84/10.77 % SZS output start Proof for theBenchmark
% See solution above
% 72.33/10.96 % (374871)------------------------------
% 72.33/10.96 % (374871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.33/10.96 % (374871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.33/10.96 % (374871)CaDiCaL version: 2.1.3
% 72.33/10.96 % (374871)Termination reason: Refutation
% 72.33/10.96 % (374871)Time elapsed: 1.265 s
% 72.33/10.96 % (374871)Peak memory usage: 115 MB
% 72.33/10.96 % (374871)Instructions burned: 2106 (million)
% 72.33/10.96 % (374871)------------------------------
% 72.33/10.96 % (374871)------------------------------
% 72.33/10.96 % (374772)Success in time 10.181 s
% 72.33/10.96 % Vampire exiting
%------------------------------------------------------------------------------