%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL472+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 : n019.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 11:52:33 AM UTC 2026
% Result : Theorem 46.85s 12.16s
% Output : Refutation 80.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 35
% Syntax : Number of formulae : 206 ( 47 unt; 19 def)
% Number of atoms : 840 ( 28 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1235 ( 601 ~; 595 |; 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 : 246 ( 0 sgn 244 !; 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(f13,axiom,
( equivalence_1
<=> ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence_1) ).
fof(f19,axiom,
( cn1
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn1) ).
fof(f20,axiom,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn2) ).
fof(f21,axiom,
( cn3
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn3) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_equiv) ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_op_equiv) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_modus_ponens) ).
fof(f36,axiom,
cn1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn1) ).
fof(f37,axiom,
cn2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn2) ).
fof(f38,axiom,
cn3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',luka_cn3) ).
fof(f39,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f41,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f43,conjecture,
equivalence_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_equivalence_1) ).
fof(f44,negated_conjecture,
~ equivalence_1,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ equivalence_1,
inference(flattening,[],[f44]) ).
fof(f46,plain,
( cn3
=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f47,plain,
( cn2
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f48,plain,
( cn1
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f49,plain,
( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
=> equivalence_1 ),
inference(unused_predicate_definition_removal,[],[f13]) ).
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,
( equivalence_1
| ? [X0,X1] : ~ is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(ennf_transformation,[],[f49]) ).
fof(f59,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f60,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(ennf_transformation,[],[f47]) ).
fof(f61,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(ennf_transformation,[],[f46]) ).
fof(f63,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f64,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f65,plain,
( equivalence_1
| ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f58]) ).
fof(f66,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f56]) ).
fof(f67,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f57]) ).
fof(f68,plain,
( equivalence_1
| ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
inference(cnf_transformation,[],[f65]) ).
fof(f69,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f70,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f71,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[],[f61]) ).
fof(f73,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f63]) ).
fof(f74,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f64]) ).
fof(f76,plain,
op_equiv,
inference(cnf_transformation,[],[f34]) ).
fof(f77,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f78,plain,
cn1,
inference(cnf_transformation,[],[f36]) ).
fof(f79,plain,
cn2,
inference(cnf_transformation,[],[f37]) ).
fof(f80,plain,
cn3,
inference(cnf_transformation,[],[f38]) ).
fof(f81,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f39]) ).
fof(f83,plain,
op_implies_and,
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
~ equivalence_1,
inference(cnf_transformation,[],[f45]) ).
fof(f87,definition,
( spl2_1
<=> op_equiv ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f91,definition,
( spl2_2
<=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f92,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f74,f91,f87]) ).
fof(f95,definition,
( spl2_3
<=> op_implies_and ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f99,definition,
( spl2_4
<=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f73,f99,f95]) ).
fof(f111,definition,
( spl2_7
<=> cn3 ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f115,definition,
( spl2_8
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( ~ spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f71,f115,f111]) ).
fof(f119,definition,
( spl2_9
<=> cn2 ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f123,definition,
( spl2_10
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f124,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( ~ spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f70,f123,f119]) ).
fof(f127,definition,
( spl2_11
<=> cn1 ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f131,definition,
( spl2_12
<=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f132,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( ~ spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f69,f131,f127]) ).
fof(f135,definition,
( spl2_13
<=> is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f137,plain,
( ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1)))
| spl2_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl2_14
<=> equivalence_1 ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f142,plain,
( ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f68,f139,f135]) ).
fof(f144,definition,
( spl2_15
<=> substitution_of_equivalents ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f148,definition,
( spl2_16
<=> ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f150,plain,
( ~ spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f67,f148,f144]) ).
fof(f152,definition,
( spl2_17
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f156,definition,
( spl2_18
<=> ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f157,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f158,plain,
( ~ spl2_17
| spl2_18 ),
inference(avatar_split_clause,[],[f66,f156,f152]) ).
fof(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_14,
inference(avatar_split_clause,[],[f85,f139]) ).
fof(f165,plain,
spl2_7,
inference(avatar_split_clause,[],[f80,f111]) ).
fof(f166,plain,
spl2_15,
inference(avatar_split_clause,[],[f81,f144]) ).
fof(f167,plain,
spl2_3,
inference(avatar_split_clause,[],[f83,f95]) ).
fof(f168,plain,
( ! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_18 ),
inference(resolution,[],[f157,f116]) ).
fof(f169,plain,
( ! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) )
| ~ spl2_10
| ~ spl2_18 ),
inference(resolution,[],[f157,f124]) ).
fof(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(f203,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(f204,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,[],[f203,f157]) ).
fof(f205,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,[],[f204,f124]) ).
fof(f206,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,[],[f204,f116]) ).
fof(f214,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,[],[f205,f157]) ).
fof(f219,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f206,f124]) ).
fof(f221,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,[],[f206,f203]) ).
fof(f233,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,[],[f214,f124]) ).
fof(f261,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,[],[f221,f169]) ).
fof(f263,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,[],[f221,f124]) ).
fof(f268,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,[],[f261,f204]) ).
fof(f300,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f268,f124]) ).
fof(f315,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,[],[f300,f206]) ).
fof(f324,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,[],[f300,f221]) ).
fof(f327,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,[],[f324,f204]) ).
fof(f335,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,[],[f315,f233]) ).
fof(f348,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,[],[f335,f221]) ).
fof(f432,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,[],[f327,f205]) ).
fof(f434,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,[],[f327,f300]) ).
fof(f435,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,[],[f327,f132]) ).
fof(f461,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,[],[f434,f348]) ).
fof(f479,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,[],[f432,f324]) ).
fof(f559,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,[],[f435,f206]) ).
fof(f643,definition,
( spl2_29
<=> ! [X2] : ~ is_a_theorem(X2) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
fof(f644,plain,
( ! [X2] : ~ is_a_theorem(X2)
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f1970,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,[],[f461,f132]) ).
fof(f2067,plain,
( $false
| ~ spl2_12
| ~ spl2_29 ),
inference(backward_subsumption_resolution,[],[f132,f644]) ).
fof(f2098,plain,
( ~ spl2_12
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f9691,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,f479]) ).
fof(f9774,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,[],[f9691,f100]) ).
fof(f10304,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,[],[f9774,f92]) ).
fof(f10320,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,[],[f10304,f300]) ).
fof(f10370,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,[],[f10304,f116]) ).
fof(f10372,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,[],[f10304,f559]) ).
fof(f10458,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,[],[f10372,f124]) ).
fof(f10459,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,[],[f10370,f124]) ).
fof(f10462,plain,
( ! [X0] : implies(not(X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10459,f149]) ).
fof(f10577,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,f10462]) ).
fof(f10902,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,[],[f10320,f300]) ).
fof(f11031,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,[],[f10902,f149]) ).
fof(f11052,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,[],[f11031,f219]) ).
fof(f11218,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,[],[f11052,f219]) ).
fof(f11706,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,[],[f1970,f11218]) ).
fof(f11798,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,[],[f348,f11218]) ).
fof(f12201,definition,
( spl2_345
<=> ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[spl2_345])],[avatar_definition]) ).
fof(f12202,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0)))
| ~ spl2_345 ),
inference(avatar_component_clause,[],[f12201]) ).
fof(f12253,definition,
( spl2_356
<=> ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2)) ),
introduced(definition,[new_symbols(definition,[spl2_356])],[avatar_definition]) ).
fof(f12254,plain,
( ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ spl2_356 ),
inference(avatar_component_clause,[],[f12253]) ).
fof(f12331,plain,
( spl2_29
| spl2_356
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11798,f156,f148,f131,f123,f115,f99,f91,f12253,f643]) ).
fof(f12352,plain,
( spl2_29
| spl2_345
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11706,f156,f148,f131,f123,f115,f99,f91,f12201,f643]) ).
fof(f39123,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,[],[f10458,f149]) ).
fof(f39318,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,[],[f39123,f169]) ).
fof(f39384,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,[],[f39318,f219]) ).
fof(f43508,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,[],[f10577,f10462]) ).
fof(f43597,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,[],[f43508,f10304]) ).
fof(f43688,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_356 ),
inference(forward_subsumption_resolution,[],[f43597,f12254]) ).
fof(f43765,plain,
( ! [X0] : implies(implies(X0,X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_356 ),
inference(resolution,[],[f43688,f149]) ).
fof(f43831,plain,
( ! [X0,X1] : implies(implies(X0,X0),X1) = X1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_356 ),
inference(superposition,[],[f43765,f11218]) ).
fof(f43909,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_356 ),
inference(superposition,[],[f203,f43765]) ).
fof(f44110,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_345
| ~ spl2_356 ),
inference(forward_subsumption_resolution,[],[f43909,f12202]) ).
fof(f44479,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_356 ),
inference(superposition,[],[f132,f43831]) ).
fof(f44709,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_356 ),
inference(forward_demodulation,[],[f44479,f43831]) ).
fof(f45635,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_356 ),
inference(superposition,[],[f44709,f39384]) ).
fof(f53737,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_356 ),
inference(superposition,[],[f45635,f39384]) ).
fof(f53790,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_356 ),
inference(resolution,[],[f53737,f221]) ).
fof(f53802,plain,
( ! [X0] : implies(not(X0),not(not(X0))) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_356 ),
inference(resolution,[],[f53737,f39123]) ).
fof(f54282,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_356 ),
inference(superposition,[],[f53790,f53802]) ).
fof(f54420,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_356 ),
inference(resolution,[],[f54282,f10304]) ).
fof(f54498,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_356 ),
inference(forward_subsumption_resolution,[],[f54420,f53737]) ).
fof(f54507,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_356 ),
inference(resolution,[],[f54498,f149]) ).
fof(f54560,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_356 ),
inference(backward_demodulation,[],[f263,f54507]) ).
fof(f55661,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_356 ),
inference(resolution,[],[f54560,f10304]) ).
fof(f55782,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_345
| ~ spl2_356 ),
inference(forward_subsumption_resolution,[],[f55661,f44110]) ).
fof(f56099,plain,
( ! [X0,X1] : implies(implies(X0,X1),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345
| ~ spl2_356 ),
inference(resolution,[],[f55782,f149]) ).
fof(f56259,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_345
| ~ spl2_356 ),
inference(superposition,[],[f183,f56099]) ).
fof(f56538,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_345
| ~ spl2_356 ),
inference(superposition,[],[f56259,f54507]) ).
fof(f56593,plain,
( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345
| ~ spl2_356 ),
inference(superposition,[],[f56538,f92]) ).
fof(f59226,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345
| ~ spl2_356 ),
inference(backward_subsumption_resolution,[],[f137,f56593]) ).
fof(f59315,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345
| ~ spl2_356 ),
inference(avatar_contradiction_clause,[],[f59226]) ).
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_14,
inference(sat_conversion,[],[f164]) ).
cnf(s16,plain,
spl2_7,
inference(sat_conversion,[],[f165]) ).
cnf(s17,plain,
spl2_15,
inference(sat_conversion,[],[f166]) ).
cnf(s19,plain,
spl2_3,
inference(sat_conversion,[],[f167]) ).
cnf(s180,plain,
( ~ spl2_12
| ~ spl2_29 ),
inference(sat_conversion,[],[f2098]) ).
cnf(s1663,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_29
| spl2_356 ),
inference(sat_conversion,[],[f12331]) ).
cnf(s1692,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_29
| spl2_345 ),
inference(sat_conversion,[],[f12352]) ).
cnf(s2729,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_345
| ~ spl2_356 ),
inference(sat_conversion,[],[f59315]) ).
cnf(s2730,plain,
spl2_18,
inference(rat,[],[s9,s12]) ).
cnf(s2731,plain,
spl2_16,
inference(rat,[],[s8,s17]) ).
cnf(s2732,plain,
~ spl2_13,
inference(rat,[],[s7,s15]) ).
cnf(s2734,plain,
spl2_12,
inference(rat,[],[s6,s13]) ).
cnf(s2735,plain,
~ spl2_29,
inference(rat,[],[s180,s2734]) ).
cnf(s2736,plain,
spl2_10,
inference(rat,[],[s5,s14]) ).
cnf(s2739,plain,
spl2_8,
inference(rat,[],[s4,s16]) ).
cnf(s2785,plain,
spl2_4,
inference(rat,[],[s2,s19]) ).
cnf(s2799,plain,
spl2_2,
inference(rat,[],[s1,s11]) ).
cnf(s2888,plain,
spl2_345,
inference(rat,[],[s1692,s2785,s2735,s2730,s2731,s2734,s2736,s2739,s2799]) ).
cnf(s2889,plain,
spl2_356,
inference(rat,[],[s1663,s2785,s2735,s2730,s2731,s2734,s2736,s2739,s2799]) ).
cnf(s3001,plain,
$false,
inference(rat,[],[s2729,s2799,s2785,s2730,s2731,s2732,s2734,s2736,s2739,s2889,s2888]) ).
fof(f59320,plain,
$false,
inference(avatar_sat_refutation,[],[s3001]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL472+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 15:48:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.83/2.27 % (3229693)Detected formulas, will run a generic FOF schedule.
% 9.83/2.27 % (3229700)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=3300664206:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.83/2.27 % (3229704)dis-21_1_sil=8000:lcm=predicate:random_seed=1901681366:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.83/2.27 % (3229698)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=1329444887:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.83/2.27 % (3229702)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3110645798:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.83/2.27 % (3229699)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=4020444491:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.83/2.27 % (3229701)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=397025735:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.83/2.27 % (3229703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1010378974:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.83/2.27 % (3229702)Refutation not found, incomplete strategy
% 9.83/2.27 % (3229702)------------------------------
% 9.83/2.27 % (3229702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3229702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3229701)Refutation not found, incomplete strategy
% 9.83/2.27 % (3229701)------------------------------
% 9.83/2.27 % (3229701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3229702)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3229701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3229702)Termination reason: Refutation not found, incomplete strategy
% 9.83/2.27 % (3229702)Time elapsed: 0.001 s
% 9.83/2.27 % (3229702)Peak memory usage: 86 MB
% 9.83/2.27 % (3229701)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3229701)Termination reason: Refutation not found, incomplete strategy
% 9.83/2.27 % (3229701)Time elapsed: 0.001 s
% 9.83/2.27 % (3229701)Peak memory usage: 86 MB
% 9.83/2.27 % (3229704)Refutation not found, incomplete strategy
% 9.83/2.27 % (3229704)------------------------------
% 9.83/2.27 % (3229704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3229704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3229704)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3229704)Termination reason: Refutation not found, incomplete strategy
% 9.83/2.27 % (3229704)Time elapsed: 0.002 s
% 9.83/2.27 % (3229704)Peak memory usage: 88 MB
% 9.83/2.27 % (3229704)Instructions burned: 1 (million)
% 9.83/2.27 % (3229703)Instruction limit reached!
% 9.83/2.27 % (3229703)------------------------------
% 9.83/2.27 % (3229703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3229703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3229703)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3229703)Termination reason: Instruction limit
% 9.83/2.27 % (3229703)Termination phase: Saturation
% 9.83/2.27 % (3229703)Time elapsed: 0.097 s
% 9.83/2.27 % (3229703)Peak memory usage: 90 MB
% 9.83/2.27 % (3229703)Instructions burned: 140 (million)
% 9.83/2.27 % (3229704)------------------------------
% 9.83/2.27 % (3229704)------------------------------
% 9.83/2.27 % (3229701)------------------------------
% 9.83/2.27 % (3229701)------------------------------
% 9.83/2.27 % (3229702)------------------------------
% 9.83/2.27 % (3229702)------------------------------
% 9.83/2.27 % (3229712)lrs+10_1_sil=8000:sp=occurrence:random_seed=1533843104:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.83/2.27 % (3229712)Refutation not found, incomplete strategy
% 9.83/2.27 % (3229712)------------------------------
% 9.83/2.27 % (3229712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.27 % (3229712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.27 % (3229712)CaDiCaL version: 2.1.3
% 9.83/2.27 % (3229712)Termination reason: Refutation not found, incomplete strategy
% 15.81/3.07 % (3229712)Time elapsed: 0.001 s
% 15.81/3.07 % (3229712)Peak memory usage: 88 MB
% 15.81/3.07 % (3229700)Refutation not found, incomplete strategy
% 15.81/3.07 % (3229700)------------------------------
% 15.81/3.07 % (3229700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.07 % (3229700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.07 % (3229700)CaDiCaL version: 2.1.3
% 15.81/3.07 % (3229700)Termination reason: Refutation not found, incomplete strategy
% 15.81/3.07 % (3229700)Time elapsed: 0.327 s
% 15.81/3.07 % (3229700)Peak memory usage: 127 MB
% 15.81/3.07 % (3229700)Instructions burned: 828 (million)
% 15.81/3.07 % (3229715)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=3500369887:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.81/3.07 % (3229713)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1219102903:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 15.81/3.07 % (3229714)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2073501711:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.81/3.07 % (3229714)Refutation not found, incomplete strategy
% 15.81/3.07 % (3229714)------------------------------
% 15.81/3.07 % (3229714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.07 % (3229714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.07 % (3229713)Refutation not found, incomplete strategy
% 15.81/3.07 % (3229713)------------------------------
% 15.81/3.07 % (3229713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.07 % (3229714)CaDiCaL version: 2.1.3
% 15.81/3.07 % (3229714)Termination reason: Refutation not found, incomplete strategy
% 15.81/3.07 % (3229714)Time elapsed: 0.001 s
% 15.81/3.07 % (3229714)Peak memory usage: 86 MB
% 15.81/3.07 % (3229713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.07 % (3229713)CaDiCaL version: 2.1.3
% 15.81/3.07 % (3229713)Termination reason: Refutation not found, incomplete strategy
% 15.81/3.07 % (3229713)Time elapsed: 0.001 s
% 15.81/3.07 % (3229713)Peak memory usage: 87 MB
% 15.81/3.07 % (3229715)Instruction limit reached!
% 15.81/3.07 % (3229715)------------------------------
% 15.81/3.07 % (3229715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.07 % (3229715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.07 % (3229715)CaDiCaL version: 2.1.3
% 15.81/3.07 % (3229715)Termination reason: Instruction limit
% 15.81/3.07 % (3229715)Termination phase: Saturation
% 15.81/3.07 % (3229715)Time elapsed: 0.082 s
% 15.81/3.07 % (3229715)Peak memory usage: 92 MB
% 15.81/3.07 % (3229715)Instructions burned: 250 (million)
% 15.81/3.07 % (3229712)------------------------------
% 15.81/3.07 % (3229712)------------------------------
% 15.81/3.07 % (3229700)------------------------------
% 15.81/3.07 % (3229700)------------------------------
% 15.81/3.07 % (3229720)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2448193479:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 15.81/3.07 % (3229720)Refutation not found, incomplete strategy
% 15.81/3.07 % (3229720)------------------------------
% 15.81/3.07 % (3229720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.07 % (3229720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.07 % (3229720)CaDiCaL version: 2.1.3
% 15.81/3.07 % (3229720)Termination reason: Refutation not found, incomplete strategy
% 15.81/3.07 % (3229720)Time elapsed: 0.0000 s
% 15.81/3.07 % (3229720)Peak memory usage: 86 MB
% 15.81/3.07 % (3229713)------------------------------
% 15.81/3.07 % (3229713)------------------------------
% 15.81/3.07 % (3229714)------------------------------
% 15.81/3.07 % (3229714)------------------------------
% 15.81/3.07 % (3229722)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3734358767:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 15.81/3.07 % (3229721)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1064177066:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 15.81/3.07 % (3229722)Refutation not found, incomplete strategy
% 15.81/3.07 % (3229722)------------------------------
% 15.81/3.07 % (3229722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.07 % (3229722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/3.88 % (3229722)CaDiCaL version: 2.1.3
% 20.58/3.88 % (3229722)Termination reason: Refutation not found, incomplete strategy
% 20.58/3.88 % (3229722)Time elapsed: 0.001 s
% 20.58/3.88 % (3229722)Peak memory usage: 88 MB
% 20.58/3.88 % (3229720)------------------------------
% 20.58/3.88 % (3229720)------------------------------
% 20.58/3.88 % (3229724)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3701388551:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 20.58/3.88 % (3229725)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2663436638:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 20.58/3.88 % (3229725)Refutation not found, incomplete strategy
% 20.58/3.88 % (3229725)------------------------------
% 20.58/3.88 % (3229725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.58/3.88 % (3229725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/3.88 % (3229725)CaDiCaL version: 2.1.3
% 20.58/3.88 % (3229725)Termination reason: Refutation not found, incomplete strategy
% 20.58/3.88 % (3229725)Time elapsed: 0.001 s
% 20.58/3.88 % (3229725)Peak memory usage: 87 MB
% 20.58/3.88 % (3229728)lrs+10_1_sil=8000:sp=occurrence:random_seed=744350039:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 20.58/3.88 % (3229724)Instruction limit reached!
% 20.58/3.88 % (3229724)------------------------------
% 20.58/3.88 % (3229724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.58/3.88 % (3229724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/3.88 % (3229724)CaDiCaL version: 2.1.3
% 20.58/3.88 % (3229724)Termination reason: Instruction limit
% 20.58/3.88 % (3229724)Termination phase: Saturation
% 20.58/3.88 % (3229724)Time elapsed: 0.073 s
% 20.58/3.88 % (3229724)Peak memory usage: 88 MB
% 20.58/3.88 % (3229724)Instructions burned: 128 (million)
% 20.58/3.88 % (3229722)------------------------------
% 20.58/3.88 % (3229722)------------------------------
% 20.58/3.88 % (3229732)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4017206906:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 20.58/3.88 % (3229732)Refutation not found, incomplete strategy
% 20.58/3.88 % (3229732)------------------------------
% 20.58/3.88 % (3229732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.58/3.88 % (3229732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/3.88 % (3229732)CaDiCaL version: 2.1.3
% 20.58/3.88 % (3229732)Termination reason: Refutation not found, incomplete strategy
% 20.58/3.88 % (3229732)Time elapsed: 0.001 s
% 20.58/3.88 % (3229732)Peak memory usage: 88 MB
% 20.58/3.88 % (3229725)------------------------------
% 20.58/3.88 % (3229725)------------------------------
% 20.58/3.88 % (3229733)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3150514099:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 20.58/3.88 % (3229728)Instruction limit reached!
% 20.58/3.88 % (3229728)------------------------------
% 20.58/3.88 % (3229728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.58/3.88 % (3229728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/3.88 % (3229728)CaDiCaL version: 2.1.3
% 20.58/3.88 % (3229728)Termination reason: Instruction limit
% 20.58/3.88 % (3229728)Termination phase: Saturation
% 20.58/3.88 % (3229728)Time elapsed: 0.279 s
% 20.58/3.88 % (3229728)Peak memory usage: 99 MB
% 20.58/3.88 % (3229728)Instructions burned: 908 (million)
% 20.58/3.88 % (3229735)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2131924094:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 20.58/3.88 % (3229735)Refutation not found, incomplete strategy
% 20.58/3.88 % (3229735)------------------------------
% 20.58/3.88 % (3229735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.58/3.88 % (3229735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.58/3.88 % (3229735)CaDiCaL version: 2.1.3
% 20.58/3.88 % (3229735)Termination reason: Refutation not found, incomplete strategy
% 20.58/3.88 % (3229735)Time elapsed: 0.002 s
% 20.58/3.88 % (3229735)Peak memory usage: 89 MB
% 20.58/3.88 % (3229737)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2751244874:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 20.58/3.88 % (3229737)Refutation not found, incomplete strategy
% 29.99/5.12 % (3229737)------------------------------
% 29.99/5.12 % (3229737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.99/5.12 % (3229737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.99/5.12 % (3229737)CaDiCaL version: 2.1.3
% 29.99/5.12 % (3229737)Termination reason: Refutation not found, incomplete strategy
% 29.99/5.12 % (3229737)Time elapsed: 0.0000 s
% 29.99/5.12 % (3229737)Peak memory usage: 88 MB
% 29.99/5.12 % (3229732)------------------------------
% 29.99/5.12 % (3229732)------------------------------
% 29.99/5.12 % (3229737)------------------------------
% 29.99/5.12 % (3229737)------------------------------
% 29.99/5.12 % (3229740)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=821691353:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 29.99/5.12 % (3229735)------------------------------
% 29.99/5.12 % (3229735)------------------------------
% 29.99/5.12 % (3229741)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=2072965946:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 29.99/5.12 % (3229741)Refutation not found, incomplete strategy
% 29.99/5.12 % (3229741)------------------------------
% 29.99/5.12 % (3229741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.99/5.12 % (3229741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.99/5.12 % (3229741)CaDiCaL version: 2.1.3
% 29.99/5.12 % (3229741)Termination reason: Refutation not found, incomplete strategy
% 29.99/5.12 % (3229741)Time elapsed: 0.001 s
% 29.99/5.12 % (3229741)Peak memory usage: 88 MB
% 29.99/5.12 % (3229741)Instructions burned: 1 (million)
% 29.99/5.12 % (3229741)------------------------------
% 29.99/5.12 % (3229741)------------------------------
% 29.99/5.12 % (3229743)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2155228852:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 29.99/5.12 % (3229743)Instruction limit reached!
% 29.99/5.12 % (3229743)------------------------------
% 29.99/5.12 % (3229743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.99/5.12 % (3229743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.99/5.12 % (3229743)CaDiCaL version: 2.1.3
% 29.99/5.12 % (3229743)Termination reason: Instruction limit
% 29.99/5.12 % (3229743)Termination phase: Saturation
% 29.99/5.12 % (3229743)Time elapsed: 0.089 s
% 29.99/5.12 % (3229743)Peak memory usage: 90 MB
% 29.99/5.12 % (3229743)Instructions burned: 134 (million)
% 29.99/5.12 % (3229746)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1112570876:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 29.99/5.12 % (3229746)Refutation not found, incomplete strategy
% 29.99/5.12 % (3229746)------------------------------
% 29.99/5.12 % (3229746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.99/5.12 % (3229746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.99/5.12 % (3229746)CaDiCaL version: 2.1.3
% 29.99/5.12 % (3229746)Termination reason: Refutation not found, incomplete strategy
% 29.99/5.12 % (3229746)Time elapsed: 0.0000 s
% 29.99/5.12 % (3229746)Peak memory usage: 87 MB
% 29.99/5.12 % (3229747)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2290151741:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 29.99/5.12 % (3229747)Refutation not found, incomplete strategy
% 29.99/5.12 % (3229747)------------------------------
% 29.99/5.12 % (3229747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.99/5.12 % (3229747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.99/5.12 % (3229747)CaDiCaL version: 2.1.3
% 29.99/5.12 % (3229747)Termination reason: Refutation not found, incomplete strategy
% 29.99/5.12 % (3229747)Time elapsed: 0.001 s
% 29.99/5.12 % (3229747)Peak memory usage: 86 MB
% 29.99/5.12 % (3229746)------------------------------
% 29.99/5.12 % (3229746)------------------------------
% 29.99/5.12 % (3229740)Refutation not found, incomplete strategy
% 29.99/5.12 % (3229740)------------------------------
% 29.99/5.12 % (3229740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.99/5.12 % (3229740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.99/5.12 % (3229740)CaDiCaL version: 2.1.3
% 29.99/5.12 % (3229740)Termination reason: Refutation not found, incomplete strategy
% 59.70/9.36 % (3229740)Time elapsed: 0.578 s
% 59.70/9.36 % (3229740)Peak memory usage: 128 MB
% 59.70/9.36 % (3229740)Instructions burned: 859 (million)
% 59.70/9.36 % (3229750)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=56341271:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 59.70/9.36 % (3229747)------------------------------
% 59.70/9.36 % (3229747)------------------------------
% 59.70/9.36 % (3229721)Instruction limit reached!
% 59.70/9.36 % (3229721)------------------------------
% 59.70/9.36 % (3229721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.70/9.36 % (3229721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.70/9.36 % (3229721)CaDiCaL version: 2.1.3
% 59.70/9.36 % (3229721)Termination reason: Instruction limit
% 59.70/9.36 % (3229721)Termination phase: Saturation
% 59.70/9.36 % (3229721)Time elapsed: 1.521 s
% 59.70/9.36 % (3229721)Peak memory usage: 140 MB
% 59.70/9.36 % (3229721)Instructions burned: 2350 (million)
% 59.70/9.36 % (3229740)------------------------------
% 60.98/9.54 % (3229740)------------------------------
% 60.98/9.54 % (3229752)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=4232363826:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 60.98/9.54 % (3229753)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2674143281:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 60.98/9.54 % (3229752)Instruction limit reached!
% 60.98/9.54 % (3229752)------------------------------
% 60.98/9.54 % (3229752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.98/9.54 % (3229752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.98/9.54 % (3229752)CaDiCaL version: 2.1.3
% 60.98/9.54 % (3229752)Termination reason: Instruction limit
% 60.98/9.54 % (3229752)Termination phase: Saturation
% 60.98/9.54 % (3229752)Time elapsed: 0.090 s
% 60.98/9.54 % (3229752)Peak memory usage: 90 MB
% 60.98/9.54 % (3229752)Instructions burned: 150 (million)
% 60.98/9.54 % (3229754)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=284201623:i=667:av=off:fsr=off_2975 on theBenchmark for (2975ds/667Mi)
% 60.98/9.54 % (3229754)Refutation not found, incomplete strategy
% 60.98/9.54 % (3229754)------------------------------
% 60.98/9.54 % (3229754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.98/9.54 % (3229754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.98/9.54 % (3229754)CaDiCaL version: 2.1.3
% 60.98/9.54 % (3229754)Termination reason: Refutation not found, incomplete strategy
% 60.98/9.54 % (3229754)Time elapsed: 0.001 s
% 60.98/9.54 % (3229754)Peak memory usage: 88 MB
% 60.98/9.54 % (3229757)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=396736315:s2a=on:i=185:s2at=1.8:fdi=4_2973 on theBenchmark for (2973ds/185Mi)
% 60.98/9.54 % (3229754)------------------------------
% 60.98/9.54 % (3229754)------------------------------
% 60.98/9.54 % (3229757)Instruction limit reached!
% 60.98/9.54 % (3229757)------------------------------
% 60.98/9.54 % (3229757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.98/9.54 % (3229757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.98/9.54 % (3229757)CaDiCaL version: 2.1.3
% 60.98/9.54 % (3229757)Termination reason: Instruction limit
% 60.98/9.54 % (3229757)Termination phase: Saturation
% 60.98/9.54 % (3229757)Time elapsed: 0.120 s
% 60.98/9.54 % (3229757)Peak memory usage: 91 MB
% 60.98/9.54 % (3229757)Instructions burned: 186 (million)
% 60.98/9.54 % (3229760)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2324174793:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2971 on theBenchmark for (2971ds/193Mi)
% 60.98/9.54 % (3229760)Refutation not found, incomplete strategy
% 60.98/9.54 % (3229760)------------------------------
% 60.98/9.54 % (3229760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.98/9.54 % (3229760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.98/9.54 % (3229760)CaDiCaL version: 2.1.3
% 60.98/9.54 % (3229760)Termination reason: Refutation not found, incomplete strategy
% 63.28/9.95 % (3229760)Time elapsed: 0.001 s
% 63.28/9.95 % (3229760)Peak memory usage: 86 MB
% 63.28/9.95 % (3229761)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1020323872:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2971 on theBenchmark for (2971ds/4850Mi)
% 63.28/9.95 % (3229761)Refutation not found, incomplete strategy
% 63.28/9.95 % (3229761)------------------------------
% 63.28/9.95 % (3229761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.28/9.95 % (3229761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.28/9.95 % (3229761)CaDiCaL version: 2.1.3
% 63.28/9.95 % (3229761)Termination reason: Refutation not found, incomplete strategy
% 63.28/9.95 % (3229761)Time elapsed: 0.001 s
% 63.28/9.95 % (3229761)Peak memory usage: 88 MB
% 63.28/9.95 % (3229760)------------------------------
% 63.28/9.95 % (3229760)------------------------------
% 63.28/9.95 % (3229761)------------------------------
% 63.28/9.95 % (3229761)------------------------------
% 63.28/9.95 % (3229764)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3857321127:i=12111:sd=1:ss=included_2967 on theBenchmark for (2967ds/12111Mi)
% 63.28/9.95 % (3229765)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=936444034:i=319:kws=precedence:fsr=off_2966 on theBenchmark for (2966ds/319Mi)
% 63.28/9.95 % (3229765)Instruction limit reached!
% 63.28/9.95 % (3229765)------------------------------
% 63.28/9.95 % (3229765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.28/9.95 % (3229765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.28/9.95 % (3229765)CaDiCaL version: 2.1.3
% 63.28/9.95 % (3229765)Termination reason: Instruction limit
% 63.28/9.95 % (3229765)Termination phase: Saturation
% 63.28/9.95 % (3229765)Time elapsed: 0.215 s
% 63.28/9.95 % (3229765)Peak memory usage: 92 MB
% 63.28/9.95 % (3229765)Instructions burned: 319 (million)
% 63.28/9.95 % (3229768)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=690308942:i=2064:ep=RST_2963 on theBenchmark for (2963ds/2064Mi)
% 63.28/9.95 % (3229768)Refutation not found, incomplete strategy
% 63.28/9.95 % (3229768)------------------------------
% 63.28/9.95 % (3229768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.28/9.95 % (3229768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.28/9.95 % (3229768)CaDiCaL version: 2.1.3
% 63.28/9.95 % (3229768)Termination reason: Refutation not found, incomplete strategy
% 63.28/9.95 % (3229768)Time elapsed: 0.001 s
% 63.28/9.95 % (3229768)Peak memory usage: 88 MB
% 63.28/9.95 % (3229768)Instructions burned: 1 (million)
% 63.28/9.95 % (3229768)------------------------------
% 63.28/9.95 % (3229768)------------------------------
% 63.28/9.95 % (3229750)Instruction limit reached!
% 63.28/9.95 % (3229750)------------------------------
% 63.28/9.95 % (3229750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.28/9.95 % (3229750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.28/9.95 % (3229750)CaDiCaL version: 2.1.3
% 63.28/9.95 % (3229750)Termination reason: Instruction limit
% 63.28/9.95 % (3229750)Termination phase: Saturation
% 63.28/9.95 % (3229750)Time elapsed: 1.835 s
% 63.28/9.95 % (3229750)Peak memory usage: 141 MB
% 63.28/9.95 % (3229750)Instructions burned: 6061 (million)
% 63.28/9.95 % (3229771)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1643590085:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2958 on theBenchmark for (2958ds/757Mi)
% 63.28/9.95 % (3229771)Refutation not found, incomplete strategy
% 63.28/9.95 % (3229771)------------------------------
% 63.28/9.95 % (3229771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.28/9.95 % (3229771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.28/9.95 % (3229771)CaDiCaL version: 2.1.3
% 63.28/9.95 % (3229771)Termination reason: Refutation not found, incomplete strategy
% 63.28/9.95 % (3229771)Time elapsed: 0.0000 s
% 63.28/9.95 % (3229771)Peak memory usage: 87 MB
% 63.28/9.95 % (3229770)dis-1011_128_sil=32000:random_seed=837122466:i=3706:ep=RST:av=off_2959 on theBenchmark for (2959ds/3706Mi)
% 63.28/9.95 % (3229733)Instruction limit reached!
% 63.28/9.95 % (3229733)------------------------------
% 63.28/9.95 % (3229733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.28/9.95 % (3229733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229733)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229733)Termination reason: Instruction limit
% 46.85/12.16 % (3229733)Termination phase: Saturation
% 46.85/12.16 % (3229733)Time elapsed: 2.999 s
% 46.85/12.16 % (3229733)Peak memory usage: 171 MB
% 46.85/12.16 % (3229733)Instructions burned: 5203 (million)
% 46.85/12.16 % (3229771)------------------------------
% 46.85/12.16 % (3229771)------------------------------
% 46.85/12.16 % (3229774)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1217584474:i=13913:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/13913Mi)
% 46.85/12.16 % (3229775)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=933628013:i=9925:aac=none_2956 on theBenchmark for (2956ds/9925Mi)
% 46.85/12.16 % (3229770)Instruction limit reached!
% 46.85/12.16 % (3229770)------------------------------
% 46.85/12.16 % (3229770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229770)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229770)Termination reason: Instruction limit
% 46.85/12.16 % (3229770)Termination phase: Saturation
% 46.85/12.16 % (3229770)Time elapsed: 2.333 s
% 46.85/12.16 % (3229770)Peak memory usage: 123 MB
% 46.85/12.16 % (3229770)Instructions burned: 3706 (million)
% 46.85/12.16 % (3229778)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2007046785:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2934 on theBenchmark for (2934ds/2479Mi)
% 46.85/12.16 % (3229778)Refutation not found, incomplete strategy
% 46.85/12.16 % (3229778)------------------------------
% 46.85/12.16 % (3229778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229778)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229778)Termination reason: Refutation not found, incomplete strategy
% 46.85/12.16 % (3229778)Time elapsed: 0.001 s
% 46.85/12.16 % (3229778)Peak memory usage: 87 MB
% 46.85/12.16 % (3229778)------------------------------
% 46.85/12.16 % (3229778)------------------------------
% 46.85/12.16 % (3229780)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=4055184511:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2930 on theBenchmark for (2930ds/440Mi)
% 46.85/12.16 % (3229780)Instruction limit reached!
% 46.85/12.16 % (3229780)------------------------------
% 46.85/12.16 % (3229780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229780)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229780)Termination reason: Instruction limit
% 46.85/12.16 % (3229780)Termination phase: Saturation
% 46.85/12.16 % (3229780)Time elapsed: 0.233 s
% 46.85/12.16 % (3229780)Peak memory usage: 95 MB
% 46.85/12.16 % (3229780)Instructions burned: 441 (million)
% 46.85/12.16 % (3229782)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3061220701:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2920 on theBenchmark for (2920ds/11145Mi)
% 46.85/12.16 % (3229775)Instruction limit reached!
% 46.85/12.16 % (3229775)------------------------------
% 46.85/12.16 % (3229775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229775)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229775)Termination reason: Instruction limit
% 46.85/12.16 % (3229775)Termination phase: Saturation
% 46.85/12.16 % (3229775)Time elapsed: 4.002 s
% 46.85/12.16 % (3229775)Peak memory usage: 194 MB
% 46.85/12.16 % (3229775)Instructions burned: 9925 (million)
% 46.85/12.16 [W927 15:48:13.130379862 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130425562 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130462389 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130474179 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130502832 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130527272 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130553062 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130563379 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130587062 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130597182 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130621246 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 [W927 15:48:13.130631549 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.
% 46.85/12.16 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 46.85/12.16 % (3229784)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=585500207:cts=off:i=3034:av=off:er=known:fsd=on_2915 on theBenchmark for (2915ds/3034Mi)
% 46.85/12.16 % (3229782)Refutation not found, incomplete strategy
% 46.85/12.16 % (3229782)------------------------------
% 46.85/12.16 % (3229782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229782)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229782)Termination reason: Refutation not found, incomplete strategy
% 46.85/12.16 % (3229782)Time elapsed: 0.546 s
% 46.85/12.16 % (3229782)Peak memory usage: 126 MB
% 46.85/12.16 % (3229782)Instructions burned: 827 (million)
% 46.85/12.16 % (3229782)------------------------------
% 46.85/12.16 % (3229782)------------------------------
% 46.85/12.16 % (3229786)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1561806181:st=2:s2a=on:i=524:s2at=2:ss=axioms_2910 on theBenchmark for (2910ds/524Mi)
% 46.85/12.16 % (3229786)Refutation not found, incomplete strategy
% 46.85/12.16 % (3229786)------------------------------
% 46.85/12.16 % (3229786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229786)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229786)Termination reason: Refutation not found, incomplete strategy
% 46.85/12.16 % (3229786)Time elapsed: 0.002 s
% 46.85/12.16 % (3229786)Peak memory usage: 88 MB
% 46.85/12.16 % (3229786)Instructions burned: 1 (million)
% 46.85/12.16 % (3229786)------------------------------
% 46.85/12.16 % (3229786)------------------------------
% 46.85/12.16 % (3229788)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=797018624:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2906 on theBenchmark for (2906ds/1016Mi)
% 46.85/12.16 % (3229788)Refutation not found, incomplete strategy
% 46.85/12.16 % (3229788)------------------------------
% 46.85/12.16 % (3229788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229788)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229788)Termination reason: Refutation not found, incomplete strategy
% 46.85/12.16 % (3229788)Time elapsed: 0.001 s
% 46.85/12.16 % (3229788)Peak memory usage: 87 MB
% 46.85/12.16 % (3229784)Instruction limit reached!
% 46.85/12.16 % (3229784)------------------------------
% 46.85/12.16 % (3229784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229784)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229784)Termination reason: Instruction limit
% 46.85/12.16 % (3229784)Termination phase: Saturation
% 46.85/12.16 % (3229784)Time elapsed: 0.966 s
% 46.85/12.16 % (3229784)Peak memory usage: 144 MB
% 46.85/12.16 % (3229784)Instructions burned: 3038 (million)
% 46.85/12.16 % (3229790)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1833838860:i=14123:bd=preordered:ins=4_2904 on theBenchmark for (2904ds/14123Mi)
% 46.85/12.16 % (3229788)------------------------------
% 46.85/12.16 % (3229788)------------------------------
% 46.85/12.16 % (3229764)Instruction limit reached!
% 46.85/12.16 % (3229764)------------------------------
% 46.85/12.16 % (3229764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229764)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229764)Termination reason: Instruction limit
% 46.85/12.16 % (3229764)Termination phase: Saturation
% 46.85/12.16 % (3229764)Time elapsed: 6.467 s
% 46.85/12.16 % (3229764)Peak memory usage: 263 MB
% 46.85/12.16 % (3229764)Instructions burned: 12113 (million)
% 46.85/12.16 % (3229792)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=105812264:i=5781:kws=precedence:bd=all:rawr=on_2902 on theBenchmark for (2902ds/5781Mi)
% 46.85/12.16 % (3229793)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=2650398730:i=2448:gtgl=5:bd=preordered:gtg=all_2900 on theBenchmark for (2900ds/2448Mi)
% 46.85/12.16 % (3229753)Instruction limit reached!
% 46.85/12.16 % (3229753)------------------------------
% 46.85/12.16 % (3229753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.85/12.16 % (3229753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/12.16 % (3229753)CaDiCaL version: 2.1.3
% 46.85/12.16 % (3229753)Termination reason: Instruction limit
% 46.85/12.16 % (3229753)Termination phase: Saturation
% 46.85/12.16 % (3229753)Time elapsed: 7.717 s
% 46.85/12.16 % (3229753)Peak memory usage: 255 MB
% 46.85/12.16 % (3229753)Instructions burned: 14156 (million)
% 46.85/12.16 % (3229796)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=452887557:i=3223:kws=precedence:fgj=on:av=off_2897 on theBenchmark for (2897ds/3223Mi)
% 46.85/12.16 % (3229792)First to succeed.
% 46.85/12.16 % (3229792)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3229693"
% 46.85/12.16 % (3229792)Refutation found. Thanks to Tanya!
% 46.85/12.16 % SZS status Theorem for theBenchmark
% 46.85/12.16 % SZS output start Proof for theBenchmark
% See solution above
% 80.04/12.35 % (3229792)------------------------------
% 80.04/12.35 % (3229792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.04/12.35 % (3229792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.04/12.35 % (3229792)CaDiCaL version: 2.1.3
% 80.04/12.35 % (3229792)Termination reason: Refutation
% 80.04/12.35 % (3229792)Time elapsed: 1.073 s
% 80.04/12.35 % (3229792)Peak memory usage: 110 MB
% 80.04/12.35 % (3229792)Instructions burned: 1788 (million)
% 80.04/12.35 % (3229792)------------------------------
% 80.04/12.35 % (3229792)------------------------------
% 80.04/12.35 % (3229693)Success in time 11.315 s
% 80.04/12.35 % Vampire exiting
%------------------------------------------------------------------------------