%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU381+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:48:38 PM UTC 2026
% Result : Theorem 3.78s 1.52s
% Output : Refutation 5.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 23
% Syntax : Number of formulae : 182 ( 17 unt; 11 def)
% Number of atoms : 739 ( 2 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 971 ( 414 ~; 453 |; 65 &)
% ( 22 <=>; 15 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 12 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 259 ( 0 sgn 239 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( in(X2,X1)
& related(X0,X2,X3) )
=> in(X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_waybel_0) ).
fof(f41,axiom,
! [X0] :
( strict_rel_str(boole_POSet(X0))
& rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f58,axiom,
! [X0] :
( ~ empty_carrier(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& complete_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel_1) ).
fof(f95,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& rel_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f98,conjecture,
! [X0,X1] :
( element(X1,powerset(the_carrier(boole_POSet(X0))))
=> ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( ( subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
=> in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_waybel_7) ).
fof(f99,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(the_carrier(boole_POSet(X0))))
=> ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( ( subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
=> in(X3,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
fof(f100,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f101,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f102,axiom,
! [X0,X1] :
( element(X1,the_carrier(boole_POSet(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_POSet(X0)))
=> ( related_reflexive(boole_POSet(X0),X1,X2)
<=> subset(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yellow_1) ).
fof(f103,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f104,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f105,axiom,
! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f108,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(flattening,[],[f186]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f95]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f213]) ).
fof(f217,plain,
? [X0,X1] :
( ( upper_relstr_subset(X1,boole_POSet(X0))
<~> ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) ) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(ennf_transformation,[],[f99]) ).
fof(f218,plain,
? [X0,X1] :
( ( upper_relstr_subset(X1,boole_POSet(X0))
<~> ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) ) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(flattening,[],[f217]) ).
fof(f219,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f100]) ).
fof(f220,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f221,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f220]) ).
fof(f222,plain,
! [X0,X1] :
( ! [X2] :
( ( related_reflexive(boole_POSet(X0),X1,X2)
<=> subset(X1,X2) )
| ~ element(X2,the_carrier(boole_POSet(X0))) )
| ~ element(X1,the_carrier(boole_POSet(X0))) ),
inference(ennf_transformation,[],[f102]) ).
fof(f223,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f104]) ).
fof(f224,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f223]) ).
fof(f227,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f108]) ).
fof(f252,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& in(X2,X1)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f187]) ).
fof(f253,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& in(X2,X1)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(rectify,[],[f252]) ).
fof(f254,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ( ~ in(sK9(X0,X1),X1)
& in(sK8(X0,X1),X1)
& related(X0,sK8(X0,X1),sK9(X0,X1))
& element(sK9(X0,X1),the_carrier(X0))
& element(sK8(X0,X1),the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1))],[f253]) ).
fof(f289,plain,
! [X0,X1,X2] :
( ( ( related_reflexive(X0,X1,X2)
| ~ related(X0,X1,X2) )
& ( related(X0,X1,X2)
| ~ related_reflexive(X0,X1,X2) ) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(nnf_transformation,[],[f214]) ).
fof(f290,plain,
? [X0,X1] :
( ( ? [X2,X3] :
( ~ in(X3,X1)
& subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) )
& ( ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) )
| upper_relstr_subset(X1,boole_POSet(X0)) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(nnf_transformation,[],[f218]) ).
fof(f291,plain,
? [X0,X1] :
( ( ? [X2,X3] :
( ~ in(X3,X1)
& subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) )
& ( ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) )
| upper_relstr_subset(X1,boole_POSet(X0)) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(flattening,[],[f290]) ).
fof(f292,plain,
? [X0,X1] :
( ( ? [X2,X3] :
( ~ in(X3,X1)
& subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) )
& ( ! [X4,X5] :
( in(X5,X1)
| ~ subset(X4,X5)
| ~ subset(X5,X0)
| ~ in(X4,X1) )
| upper_relstr_subset(X1,boole_POSet(X0)) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(rectify,[],[f291]) ).
fof(f293,plain,
( ( ( ~ in(sK45,sK43)
& subset(sK44,sK45)
& subset(sK45,sK42)
& in(sK44,sK43) )
| ~ upper_relstr_subset(sK43,boole_POSet(sK42)) )
& ( ! [X4,X5] :
( in(X5,sK43)
| ~ subset(X4,X5)
| ~ subset(X5,sK42)
| ~ in(X4,sK43) )
| upper_relstr_subset(sK43,boole_POSet(sK42)) )
& element(sK43,powerset(the_carrier(boole_POSet(sK42)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43,sK44,sK45]),skolemize(X0,sK42),skolemize(X1,sK43),skolemize(X2,sK44),skolemize(X3,sK45)],[f292]) ).
fof(f294,plain,
! [X0,X1] :
( ! [X2] :
( ( ( related_reflexive(boole_POSet(X0),X1,X2)
| ~ subset(X1,X2) )
& ( subset(X1,X2)
| ~ related_reflexive(boole_POSet(X0),X1,X2) ) )
| ~ element(X2,the_carrier(boole_POSet(X0))) )
| ~ element(X1,the_carrier(boole_POSet(X0))) ),
inference(nnf_transformation,[],[f222]) ).
fof(f295,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f459,plain,
! [X0,X1,X4,X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f460,plain,
! [X0,X1] :
( element(sK8(X0,X1),the_carrier(X0))
| upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f461,plain,
! [X0,X1] :
( element(sK9(X0,X1),the_carrier(X0))
| upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f462,plain,
! [X0,X1] :
( related(X0,sK8(X0,X1),sK9(X0,X1))
| upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f463,plain,
! [X0,X1] :
( upper_relstr_subset(X1,X0)
| in(sK8(X0,X1),X1)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f464,plain,
! [X0,X1] :
( ~ in(sK9(X0,X1),X1)
| upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f467,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f492,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f494,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f58]) ).
fof(f755,plain,
! [X2,X0,X1] :
( related(X0,X1,X2)
| ~ related_reflexive(X0,X1,X2)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f289]) ).
fof(f756,plain,
! [X2,X0,X1] :
( related_reflexive(X0,X1,X2)
| ~ related(X0,X1,X2)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f289]) ).
fof(f759,plain,
element(sK43,powerset(the_carrier(boole_POSet(sK42)))),
inference(cnf_transformation,[],[f293]) ).
fof(f760,plain,
! [X4,X5] :
( in(X5,sK43)
| ~ subset(X4,X5)
| ~ subset(X5,sK42)
| ~ in(X4,sK43)
| upper_relstr_subset(sK43,boole_POSet(sK42)) ),
inference(cnf_transformation,[],[f293]) ).
fof(f761,plain,
( in(sK44,sK43)
| ~ upper_relstr_subset(sK43,boole_POSet(sK42)) ),
inference(cnf_transformation,[],[f293]) ).
fof(f762,plain,
( subset(sK45,sK42)
| ~ upper_relstr_subset(sK43,boole_POSet(sK42)) ),
inference(cnf_transformation,[],[f293]) ).
fof(f763,plain,
( subset(sK44,sK45)
| ~ upper_relstr_subset(sK43,boole_POSet(sK42)) ),
inference(cnf_transformation,[],[f293]) ).
fof(f764,plain,
( ~ in(sK45,sK43)
| ~ upper_relstr_subset(sK43,boole_POSet(sK42)) ),
inference(cnf_transformation,[],[f293]) ).
fof(f765,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f766,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f767,plain,
! [X2,X0,X1] :
( subset(X1,X2)
| ~ related_reflexive(boole_POSet(X0),X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X0)))
| ~ element(X1,the_carrier(boole_POSet(X0))) ),
inference(cnf_transformation,[],[f294]) ).
fof(f768,plain,
! [X2,X0,X1] :
( related_reflexive(boole_POSet(X0),X1,X2)
| ~ subset(X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X0)))
| ~ element(X1,the_carrier(boole_POSet(X0))) ),
inference(cnf_transformation,[],[f294]) ).
fof(f769,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f295]) ).
fof(f770,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f771,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| element(X0,X2)
| ~ element(X1,powerset(X2)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f772,plain,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f105]) ).
fof(f775,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f778,definition,
( spl46_1
<=> upper_relstr_subset(sK43,boole_POSet(sK42)) ),
introduced(definition,[new_symbols(definition,[spl46_1])],[avatar_definition]) ).
fof(f779,plain,
( ~ upper_relstr_subset(sK43,boole_POSet(sK42))
| spl46_1 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f780,plain,
( upper_relstr_subset(sK43,boole_POSet(sK42))
| ~ spl46_1 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f782,definition,
( spl46_2
<=> ! [X4,X5] :
( in(X5,sK43)
| ~ in(X4,sK43)
| ~ subset(X5,sK42)
| ~ subset(X4,X5) ) ),
introduced(definition,[new_symbols(definition,[spl46_2])],[avatar_definition]) ).
fof(f783,plain,
( ! [X4,X5] :
( ~ subset(X5,sK42)
| ~ in(X4,sK43)
| in(X5,sK43)
| ~ subset(X4,X5) )
| ~ spl46_2 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f784,plain,
( spl46_1
| spl46_2 ),
inference(avatar_split_clause,[],[f760,f782,f778]) ).
fof(f786,definition,
( spl46_3
<=> in(sK44,sK43) ),
introduced(definition,[new_symbols(definition,[spl46_3])],[avatar_definition]) ).
fof(f788,plain,
( in(sK44,sK43)
| ~ spl46_3 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f789,plain,
( ~ spl46_1
| spl46_3 ),
inference(avatar_split_clause,[],[f761,f786,f778]) ).
fof(f791,definition,
( spl46_4
<=> subset(sK45,sK42) ),
introduced(definition,[new_symbols(definition,[spl46_4])],[avatar_definition]) ).
fof(f793,plain,
( subset(sK45,sK42)
| ~ spl46_4 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f794,plain,
( ~ spl46_1
| spl46_4 ),
inference(avatar_split_clause,[],[f762,f791,f778]) ).
fof(f796,definition,
( spl46_5
<=> subset(sK44,sK45) ),
introduced(definition,[new_symbols(definition,[spl46_5])],[avatar_definition]) ).
fof(f798,plain,
( subset(sK44,sK45)
| ~ spl46_5 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f799,plain,
( ~ spl46_1
| spl46_5 ),
inference(avatar_split_clause,[],[f763,f796,f778]) ).
fof(f801,definition,
( spl46_6
<=> in(sK45,sK43) ),
introduced(definition,[new_symbols(definition,[spl46_6])],[avatar_definition]) ).
fof(f803,plain,
( ~ in(sK45,sK43)
| spl46_6 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f804,plain,
( ~ spl46_1
| ~ spl46_6 ),
inference(avatar_split_clause,[],[f764,f801,f778]) ).
fof(f818,plain,
element(sK43,powerset(powerset(sK42))),
inference(superposition,[],[f759,f772]) ).
fof(f820,plain,
( ! [X0,X1] :
( ~ in(X1,sK43)
| ~ element(X0,powerset(sK42))
| in(X0,sK43)
| ~ subset(X1,X0) )
| ~ spl46_2 ),
inference(resolution,[],[f769,f783]) ).
fof(f897,plain,
( in(sK8(boole_POSet(sK42),sK43),sK43)
| ~ element(sK43,powerset(the_carrier(boole_POSet(sK42))))
| ~ rel_str(boole_POSet(sK42))
| spl46_1 ),
inference(resolution,[],[f463,f779]) ).
fof(f898,plain,
( in(sK8(boole_POSet(sK42),sK43),sK43)
| ~ rel_str(boole_POSet(sK42))
| spl46_1 ),
inference(forward_subsumption_resolution,[],[f897,f759]) ).
fof(f899,plain,
( in(sK8(boole_POSet(sK42),sK43),sK43)
| spl46_1 ),
inference(forward_subsumption_resolution,[],[f898,f467]) ).
fof(f901,plain,
! [X0,X1] :
( upper_relstr_subset(X0,X1)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| empty(X0)
| ~ element(sK9(X1,X0),X0) ),
inference(resolution,[],[f464,f766]) ).
fof(f903,plain,
! [X0,X1] :
( element(sK8(boole_POSet(X0),X1),powerset(X0))
| upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(powerset(X0)))
| ~ rel_str(boole_POSet(X0)) ),
inference(superposition,[],[f460,f772]) ).
fof(f904,plain,
! [X0,X1] :
( element(sK8(boole_POSet(X0),X1),powerset(X0))
| upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(forward_subsumption_resolution,[],[f903,f467]) ).
fof(f905,plain,
( ! [X0] :
( ~ element(X0,powerset(sK42))
| in(X0,sK43)
| ~ subset(sK8(boole_POSet(sK42),sK43),X0) )
| spl46_1
| ~ spl46_2 ),
inference(resolution,[],[f899,f820]) ).
fof(f909,plain,
( ~ empty(sK43)
| spl46_1 ),
inference(resolution,[],[f899,f775]) ).
fof(f910,plain,
! [X0,X1] :
( element(sK9(boole_POSet(X0),X1),powerset(X0))
| upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(powerset(X0)))
| ~ rel_str(boole_POSet(X0)) ),
inference(superposition,[],[f461,f772]) ).
fof(f911,plain,
! [X0,X1] :
( element(sK9(boole_POSet(X0),X1),powerset(X0))
| upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(forward_subsumption_resolution,[],[f910,f467]) ).
fof(f925,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X0))
| subset(X1,X2)
| ~ related_reflexive(boole_POSet(X0),X1,X2)
| ~ element(X1,the_carrier(boole_POSet(X0))) ),
inference(forward_demodulation,[],[f767,f772]) ).
fof(f926,plain,
! [X2,X0,X1] :
( ~ related_reflexive(boole_POSet(X0),X1,X2)
| ~ element(X2,powerset(X0))
| subset(X1,X2)
| ~ element(X1,powerset(X0)) ),
inference(forward_demodulation,[],[f925,f772]) ).
fof(f929,definition,
( spl46_15
<=> ! [X0] :
( ~ element(X0,powerset(sK42))
| ~ subset(sK8(boole_POSet(sK42),sK43),X0)
| in(X0,sK43) ) ),
introduced(definition,[new_symbols(definition,[spl46_15])],[avatar_definition]) ).
fof(f930,plain,
( ! [X0] :
( ~ subset(sK8(boole_POSet(sK42),sK43),X0)
| ~ element(X0,powerset(sK42))
| in(X0,sK43) )
| ~ spl46_15 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f946,definition,
( spl46_18
<=> empty(sK43) ),
introduced(definition,[new_symbols(definition,[spl46_18])],[avatar_definition]) ).
fof(f947,plain,
( ~ empty(sK43)
| spl46_18 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f950,plain,
( ~ spl46_18
| spl46_1 ),
inference(avatar_split_clause,[],[f909,f778,f946]) ).
fof(f951,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X0))
| related_reflexive(boole_POSet(X0),X1,X2)
| ~ subset(X1,X2)
| ~ element(X1,the_carrier(boole_POSet(X0))) ),
inference(forward_demodulation,[],[f768,f772]) ).
fof(f952,plain,
! [X2,X0,X1] :
( related_reflexive(boole_POSet(X0),X1,X2)
| ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0))
| ~ subset(X1,X2) ),
inference(forward_demodulation,[],[f951,f772]) ).
fof(f958,plain,
! [X2,X0,X1] :
( ~ related(boole_POSet(X0),X1,X2)
| empty_carrier(boole_POSet(X0))
| ~ reflexive_relstr(boole_POSet(X0))
| ~ rel_str(boole_POSet(X0))
| ~ element(X1,the_carrier(boole_POSet(X0)))
| ~ element(X2,the_carrier(boole_POSet(X0)))
| ~ element(X2,powerset(X0))
| subset(X1,X2)
| ~ element(X1,powerset(X0)) ),
inference(resolution,[],[f756,f926]) ).
fof(f959,plain,
! [X2,X0,X1] :
( ~ related(boole_POSet(X0),X1,X2)
| ~ reflexive_relstr(boole_POSet(X0))
| ~ rel_str(boole_POSet(X0))
| ~ element(X1,the_carrier(boole_POSet(X0)))
| ~ element(X2,the_carrier(boole_POSet(X0)))
| ~ element(X2,powerset(X0))
| subset(X1,X2)
| ~ element(X1,powerset(X0)) ),
inference(forward_subsumption_resolution,[],[f958,f494]) ).
fof(f960,plain,
! [X2,X0,X1] :
( ~ related(boole_POSet(X0),X1,X2)
| ~ rel_str(boole_POSet(X0))
| ~ element(X1,the_carrier(boole_POSet(X0)))
| ~ element(X2,the_carrier(boole_POSet(X0)))
| ~ element(X2,powerset(X0))
| subset(X1,X2)
| ~ element(X1,powerset(X0)) ),
inference(forward_subsumption_resolution,[],[f959,f492]) ).
fof(f961,plain,
! [X2,X0,X1] :
( ~ related(boole_POSet(X0),X1,X2)
| ~ element(X1,the_carrier(boole_POSet(X0)))
| ~ element(X2,the_carrier(boole_POSet(X0)))
| ~ element(X2,powerset(X0))
| subset(X1,X2)
| ~ element(X1,powerset(X0)) ),
inference(forward_subsumption_resolution,[],[f960,f467]) ).
fof(f962,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ related(boole_POSet(X0),X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X0)))
| ~ element(X2,powerset(X0))
| subset(X1,X2)
| ~ element(X1,powerset(X0)) ),
inference(forward_demodulation,[],[f961,f772]) ).
fof(f963,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ related(boole_POSet(X0),X1,X2)
| ~ element(X2,the_carrier(boole_POSet(X0)))
| ~ element(X2,powerset(X0))
| subset(X1,X2) ),
inference(duplicate_literal_removal,[],[f962]) ).
fof(f964,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0))
| ~ related(boole_POSet(X0),X1,X2)
| ~ element(X2,powerset(X0))
| subset(X1,X2) ),
inference(forward_demodulation,[],[f963,f772]) ).
fof(f965,plain,
! [X2,X0,X1] :
( ~ related(boole_POSet(X0),X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0))
| subset(X1,X2) ),
inference(duplicate_literal_removal,[],[f964]) ).
fof(f967,plain,
! [X0,X1,X4,X5] :
( ~ upper_relstr_subset(X1,X0)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| in(X5,X1)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[],[f459,f771]) ).
fof(f1022,plain,
( spl46_15
| spl46_1
| ~ spl46_2 ),
inference(avatar_split_clause,[],[f905,f782,f778,f929]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ element(sK8(boole_POSet(X0),X1),powerset(X0))
| ~ element(sK9(boole_POSet(X0),X1),powerset(X0))
| subset(sK8(boole_POSet(X0),X1),sK9(boole_POSet(X0),X1))
| upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ rel_str(boole_POSet(X0)) ),
inference(resolution,[],[f965,f462]) ).
fof(f1152,plain,
! [X0,X1] :
( ~ element(sK8(boole_POSet(X0),X1),powerset(X0))
| ~ element(sK9(boole_POSet(X0),X1),powerset(X0))
| subset(sK8(boole_POSet(X0),X1),sK9(boole_POSet(X0),X1))
| upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(forward_subsumption_resolution,[],[f1150,f467]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ element(sK8(boole_POSet(X0),X1),powerset(X0))
| ~ element(sK9(boole_POSet(X0),X1),powerset(X0))
| subset(sK8(boole_POSet(X0),X1),sK9(boole_POSet(X0),X1))
| upper_relstr_subset(X1,boole_POSet(X0)) ),
inference(forward_demodulation,[],[f1152,f772]) ).
fof(f1154,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ element(sK9(boole_POSet(X0),X1),powerset(X0))
| subset(sK8(boole_POSet(X0),X1),sK9(boole_POSet(X0),X1))
| upper_relstr_subset(X1,boole_POSet(X0)) ),
inference(forward_subsumption_resolution,[],[f1153,f904]) ).
fof(f1155,plain,
! [X0,X1] :
( subset(sK8(boole_POSet(X0),X1),sK9(boole_POSet(X0),X1))
| ~ element(X1,powerset(powerset(X0)))
| upper_relstr_subset(X1,boole_POSet(X0)) ),
inference(forward_subsumption_resolution,[],[f1154,f911]) ).
fof(f1157,plain,
( ~ element(sK43,powerset(the_carrier(boole_POSet(sK42))))
| ~ rel_str(boole_POSet(sK42))
| empty(sK43)
| ~ element(sK9(boole_POSet(sK42),sK43),sK43)
| spl46_1 ),
inference(resolution,[],[f901,f779]) ).
fof(f1161,plain,
( ~ rel_str(boole_POSet(sK42))
| empty(sK43)
| ~ element(sK9(boole_POSet(sK42),sK43),sK43)
| spl46_1 ),
inference(forward_subsumption_resolution,[],[f1157,f759]) ).
fof(f1162,plain,
( empty(sK43)
| ~ element(sK9(boole_POSet(sK42),sK43),sK43)
| spl46_1 ),
inference(forward_subsumption_resolution,[],[f1161,f467]) ).
fof(f1163,plain,
( ~ element(sK9(boole_POSet(sK42),sK43),sK43)
| spl46_1
| spl46_18 ),
inference(forward_subsumption_resolution,[],[f1162,f947]) ).
fof(f1165,plain,
( ~ in(sK9(boole_POSet(sK42),sK43),sK43)
| spl46_1
| spl46_18 ),
inference(resolution,[],[f1163,f765]) ).
fof(f1708,plain,
( ~ element(sK43,powerset(powerset(sK42)))
| upper_relstr_subset(sK43,boole_POSet(sK42))
| ~ element(sK9(boole_POSet(sK42),sK43),powerset(sK42))
| in(sK9(boole_POSet(sK42),sK43),sK43)
| ~ spl46_15 ),
inference(resolution,[],[f1155,f930]) ).
fof(f1710,plain,
( ~ element(sK43,powerset(powerset(sK42)))
| upper_relstr_subset(sK43,boole_POSet(sK42))
| in(sK9(boole_POSet(sK42),sK43),sK43)
| ~ spl46_15 ),
inference(forward_subsumption_resolution,[],[f1708,f911]) ).
fof(f1711,plain,
( upper_relstr_subset(sK43,boole_POSet(sK42))
| in(sK9(boole_POSet(sK42),sK43),sK43)
| ~ spl46_15 ),
inference(forward_subsumption_resolution,[],[f1710,f818]) ).
fof(f1712,plain,
( in(sK9(boole_POSet(sK42),sK43),sK43)
| spl46_1
| ~ spl46_15 ),
inference(forward_subsumption_resolution,[],[f1711,f779]) ).
fof(f1713,plain,
( $false
| spl46_1
| ~ spl46_15
| spl46_18 ),
inference(forward_subsumption_resolution,[],[f1712,f1165]) ).
fof(f1714,plain,
( spl46_1
| ~ spl46_15
| spl46_18 ),
inference(avatar_contradiction_clause,[],[f1713]) ).
fof(f1724,plain,
( ! [X0] :
( element(sK44,X0)
| ~ element(sK43,powerset(X0)) )
| ~ spl46_3 ),
inference(resolution,[],[f788,f771]) ).
fof(f1745,definition,
( spl46_42
<=> element(sK45,powerset(sK42)) ),
introduced(definition,[new_symbols(definition,[spl46_42])],[avatar_definition]) ).
fof(f1746,plain,
( element(sK45,powerset(sK42))
| ~ spl46_42 ),
inference(avatar_component_clause,[],[f1745]) ).
fof(f1747,plain,
( ~ element(sK45,powerset(sK42))
| spl46_42 ),
inference(avatar_component_clause,[],[f1745]) ).
fof(f1757,plain,
( ! [X0,X1] :
( ~ in(X0,sK43)
| ~ related(boole_POSet(sK42),X0,X1)
| ~ element(X1,the_carrier(boole_POSet(sK42)))
| in(X1,sK43)
| ~ element(sK43,powerset(the_carrier(boole_POSet(sK42))))
| ~ rel_str(boole_POSet(sK42)) )
| ~ spl46_1 ),
inference(resolution,[],[f780,f967]) ).
fof(f1758,plain,
( ! [X0,X1] :
( ~ in(X0,sK43)
| ~ related(boole_POSet(sK42),X0,X1)
| ~ element(X1,the_carrier(boole_POSet(sK42)))
| in(X1,sK43)
| ~ rel_str(boole_POSet(sK42)) )
| ~ spl46_1 ),
inference(forward_subsumption_resolution,[],[f1757,f759]) ).
fof(f1759,plain,
( ! [X0,X1] :
( ~ in(X0,sK43)
| ~ related(boole_POSet(sK42),X0,X1)
| ~ element(X1,the_carrier(boole_POSet(sK42)))
| in(X1,sK43) )
| ~ spl46_1 ),
inference(forward_subsumption_resolution,[],[f1758,f467]) ).
fof(f1760,plain,
( ! [X0,X1] :
( ~ related(boole_POSet(sK42),X0,X1)
| ~ in(X0,sK43)
| ~ element(X1,powerset(sK42))
| in(X1,sK43) )
| ~ spl46_1 ),
inference(forward_demodulation,[],[f1759,f772]) ).
fof(f1786,plain,
( ! [X0,X1] :
( ~ in(X0,sK43)
| ~ element(X1,powerset(sK42))
| in(X1,sK43)
| ~ related_reflexive(boole_POSet(sK42),X0,X1)
| empty_carrier(boole_POSet(sK42))
| ~ reflexive_relstr(boole_POSet(sK42))
| ~ rel_str(boole_POSet(sK42))
| ~ element(X0,the_carrier(boole_POSet(sK42)))
| ~ element(X1,the_carrier(boole_POSet(sK42))) )
| ~ spl46_1 ),
inference(resolution,[],[f1760,f755]) ).
fof(f1787,plain,
( ! [X0,X1] :
( ~ in(X0,sK43)
| ~ element(X1,powerset(sK42))
| in(X1,sK43)
| ~ related_reflexive(boole_POSet(sK42),X0,X1)
| ~ reflexive_relstr(boole_POSet(sK42))
| ~ rel_str(boole_POSet(sK42))
| ~ element(X0,the_carrier(boole_POSet(sK42)))
| ~ element(X1,the_carrier(boole_POSet(sK42))) )
| ~ spl46_1 ),
inference(forward_subsumption_resolution,[],[f1786,f494]) ).
fof(f1789,plain,
( ! [X0,X1] :
( ~ in(X0,sK43)
| ~ element(X1,powerset(sK42))
| in(X1,sK43)
| ~ related_reflexive(boole_POSet(sK42),X0,X1)
| ~ rel_str(boole_POSet(sK42))
| ~ element(X0,the_carrier(boole_POSet(sK42)))
| ~ element(X1,the_carrier(boole_POSet(sK42))) )
| ~ spl46_1 ),
inference(forward_subsumption_resolution,[],[f1787,f492]) ).
fof(f1791,plain,
( ! [X0,X1] :
( ~ in(X0,sK43)
| ~ element(X1,powerset(sK42))
| in(X1,sK43)
| ~ related_reflexive(boole_POSet(sK42),X0,X1)
| ~ element(X0,the_carrier(boole_POSet(sK42)))
| ~ element(X1,the_carrier(boole_POSet(sK42))) )
| ~ spl46_1 ),
inference(forward_subsumption_resolution,[],[f1789,f467]) ).
fof(f1793,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(sK42))
| ~ in(X0,sK43)
| ~ element(X1,powerset(sK42))
| in(X1,sK43)
| ~ related_reflexive(boole_POSet(sK42),X0,X1)
| ~ element(X1,the_carrier(boole_POSet(sK42))) )
| ~ spl46_1 ),
inference(forward_demodulation,[],[f1791,f772]) ).
fof(f1794,plain,
( ! [X0,X1] :
( ~ element(X1,powerset(sK42))
| ~ element(X0,powerset(sK42))
| ~ in(X0,sK43)
| ~ element(X1,powerset(sK42))
| in(X1,sK43)
| ~ related_reflexive(boole_POSet(sK42),X0,X1) )
| ~ spl46_1 ),
inference(forward_demodulation,[],[f1793,f772]) ).
fof(f1795,plain,
( ! [X0,X1] :
( ~ related_reflexive(boole_POSet(sK42),X0,X1)
| ~ element(X0,powerset(sK42))
| ~ in(X0,sK43)
| in(X1,sK43)
| ~ element(X1,powerset(sK42)) )
| ~ spl46_1 ),
inference(duplicate_literal_removal,[],[f1794]) ).
fof(f1811,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(sK42))
| ~ in(X0,sK43)
| in(X1,sK43)
| ~ element(X1,powerset(sK42))
| ~ element(X1,powerset(sK42))
| ~ element(X0,powerset(sK42))
| ~ subset(X0,X1) )
| ~ spl46_1 ),
inference(resolution,[],[f1795,f952]) ).
fof(f1815,plain,
( ! [X0,X1] :
( ~ in(X0,sK43)
| ~ element(X0,powerset(sK42))
| in(X1,sK43)
| ~ element(X1,powerset(sK42))
| ~ subset(X0,X1) )
| ~ spl46_1 ),
inference(duplicate_literal_removal,[],[f1811]) ).
fof(f1816,plain,
( ~ subset(sK45,sK42)
| spl46_42 ),
inference(resolution,[],[f1747,f770]) ).
fof(f1819,plain,
( $false
| ~ spl46_4
| spl46_42 ),
inference(forward_subsumption_resolution,[],[f1816,f793]) ).
fof(f1820,plain,
( ~ spl46_4
| spl46_42 ),
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1943,plain,
( ! [X0] :
( ~ element(sK44,powerset(sK42))
| in(X0,sK43)
| ~ element(X0,powerset(sK42))
| ~ subset(sK44,X0) )
| ~ spl46_1
| ~ spl46_3 ),
inference(resolution,[],[f1815,f788]) ).
fof(f1945,definition,
( spl46_46
<=> ! [X0] :
( in(X0,sK43)
| ~ subset(sK44,X0)
| ~ element(X0,powerset(sK42)) ) ),
introduced(definition,[new_symbols(definition,[spl46_46])],[avatar_definition]) ).
fof(f1946,plain,
( ! [X0] :
( ~ subset(sK44,X0)
| in(X0,sK43)
| ~ element(X0,powerset(sK42)) )
| ~ spl46_46 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f1948,definition,
( spl46_47
<=> element(sK44,powerset(sK42)) ),
introduced(definition,[new_symbols(definition,[spl46_47])],[avatar_definition]) ).
fof(f1950,plain,
( ~ element(sK44,powerset(sK42))
| spl46_47 ),
inference(avatar_component_clause,[],[f1948]) ).
fof(f1951,plain,
( spl46_46
| ~ spl46_47
| ~ spl46_1
| ~ spl46_3 ),
inference(avatar_split_clause,[],[f1943,f786,f778,f1948,f1945]) ).
fof(f1962,plain,
( ~ element(sK43,powerset(powerset(sK42)))
| ~ spl46_3
| spl46_47 ),
inference(resolution,[],[f1950,f1724]) ).
fof(f1966,plain,
( $false
| ~ spl46_3
| spl46_47 ),
inference(forward_subsumption_resolution,[],[f1962,f818]) ).
fof(f1967,plain,
( ~ spl46_3
| spl46_47 ),
inference(avatar_contradiction_clause,[],[f1966]) ).
fof(f2630,plain,
( in(sK45,sK43)
| ~ element(sK45,powerset(sK42))
| ~ spl46_5
| ~ spl46_46 ),
inference(resolution,[],[f1946,f798]) ).
fof(f2633,plain,
( ~ element(sK45,powerset(sK42))
| ~ spl46_5
| spl46_6
| ~ spl46_46 ),
inference(forward_subsumption_resolution,[],[f2630,f803]) ).
fof(f2634,plain,
( $false
| ~ spl46_5
| spl46_6
| ~ spl46_42
| ~ spl46_46 ),
inference(forward_subsumption_resolution,[],[f2633,f1746]) ).
fof(f2635,plain,
( ~ spl46_5
| spl46_6
| ~ spl46_42
| ~ spl46_46 ),
inference(avatar_contradiction_clause,[],[f2634]) ).
cnf(s1,plain,
( spl46_1
| spl46_2 ),
inference(sat_conversion,[],[f784]) ).
cnf(s2,plain,
( ~ spl46_1
| spl46_3 ),
inference(sat_conversion,[],[f789]) ).
cnf(s3,plain,
( ~ spl46_1
| spl46_4 ),
inference(sat_conversion,[],[f794]) ).
cnf(s4,plain,
( ~ spl46_1
| spl46_5 ),
inference(sat_conversion,[],[f799]) ).
cnf(s5,plain,
( ~ spl46_1
| ~ spl46_6 ),
inference(sat_conversion,[],[f804]) ).
cnf(s13,plain,
( spl46_1
| ~ spl46_18 ),
inference(sat_conversion,[],[f950]) ).
cnf(s15,plain,
( spl46_1
| ~ spl46_2
| spl46_15 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s30,plain,
( spl46_1
| ~ spl46_15
| spl46_18 ),
inference(sat_conversion,[],[f1714]) ).
cnf(s37,plain,
( ~ spl46_4
| spl46_42 ),
inference(sat_conversion,[],[f1820]) ).
cnf(s41,plain,
( ~ spl46_1
| ~ spl46_3
| spl46_46
| ~ spl46_47 ),
inference(sat_conversion,[],[f1951]) ).
cnf(s43,plain,
( ~ spl46_3
| spl46_47 ),
inference(sat_conversion,[],[f1967]) ).
cnf(s73,plain,
( ~ spl46_5
| spl46_6
| ~ spl46_42
| ~ spl46_46 ),
inference(sat_conversion,[],[f2635]) ).
cnf(s82,plain,
spl46_1,
inference(rat,[],[s15,s30,s1,s13]) ).
cnf(s83,plain,
~ spl46_6,
inference(rat,[],[s5,s82]) ).
cnf(s84,plain,
spl46_5,
inference(rat,[],[s4,s82]) ).
cnf(s85,plain,
spl46_4,
inference(rat,[],[s3,s82]) ).
cnf(s86,plain,
spl46_3,
inference(rat,[],[s2,s82]) ).
cnf(s87,plain,
spl46_42,
inference(rat,[],[s37,s85]) ).
cnf(s88,plain,
spl46_47,
inference(rat,[],[s43,s86]) ).
cnf(s89,plain,
spl46_46,
inference(rat,[],[s41,s88,s82,s86]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s73,s84,s83,s89,s87]) ).
fof(f2636,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU381+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 % Computer : n026.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 28 05:04:12 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 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
% 3.78/1.52 % (3472120)Detected formulas, will run a generic FOF schedule.
% 3.78/1.52 % (3472134)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=2908126018:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.78/1.52 % (3472138)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=175950814:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.78/1.52 % (3472135)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=494995713:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.78/1.52 % (3472140)dis-21_1_sil=8000:lcm=predicate:random_seed=2188857659: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)
% 3.78/1.52 % (3472137)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3206356480:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.78/1.52 % (3472136)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=4230555183:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.78/1.52 % (3472139)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1817868866:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.78/1.52 % (3472137)Refutation not found, incomplete strategy
% 3.78/1.52 % (3472137)------------------------------
% 3.78/1.52 % (3472137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.52 % (3472137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.52 % (3472137)CaDiCaL version: 2.1.3
% 3.78/1.52 % (3472137)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.52 % (3472137)Time elapsed: 0.005 s
% 3.78/1.52 % (3472137)Peak memory usage: 88 MB
% 3.78/1.52 % (3472137)Instructions burned: 3 (million)
% 3.78/1.52 % (3472138)Instruction limit reached!
% 3.78/1.52 % (3472138)------------------------------
% 3.78/1.52 % (3472138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.52 % (3472138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.52 % (3472138)CaDiCaL version: 2.1.3
% 3.78/1.52 % (3472138)Termination reason: Instruction limit
% 3.78/1.52 % (3472138)Termination phase: Saturation
% 3.78/1.52 % (3472138)Time elapsed: 0.096 s
% 3.78/1.52 % (3472138)Peak memory usage: 88 MB
% 3.78/1.52 % (3472138)Instructions burned: 119 (million)
% 3.78/1.52 % (3472139)First to succeed.
% 3.78/1.52 % (3472139)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3472120"
% 3.78/1.52 % (3472140)Instruction limit reached!
% 3.78/1.52 % (3472140)------------------------------
% 3.78/1.52 % (3472140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.52 % (3472140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.52 % (3472140)CaDiCaL version: 2.1.3
% 3.78/1.52 % (3472140)Termination reason: Instruction limit
% 3.78/1.52 % (3472140)Termination phase: Saturation
% 3.78/1.52 % (3472140)Time elapsed: 0.115 s
% 3.78/1.52 % (3472140)Peak memory usage: 91 MB
% 3.78/1.52 % (3472140)Instructions burned: 129 (million)
% 3.78/1.52 % (3472153)lrs+10_1_sil=8000:sp=occurrence:random_seed=2309965845:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.78/1.52 % (3472156)lrs+10_1_sil=32000:urr=on:br=off:random_seed=840770026:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.78/1.52 % (3472137)------------------------------
% 3.78/1.52 % (3472137)------------------------------
% 3.78/1.52 % (3472134)Also succeeded, but the first one will report.
% 3.78/1.52 % (3472139)Refutation found. Thanks to Tanya!
% 3.78/1.52 % SZS status Theorem for theBenchmark
% 3.78/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 5.56/1.73 % (3472139)------------------------------
% 5.56/1.73 % (3472139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.73 % (3472139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.73 % (3472139)CaDiCaL version: 2.1.3
% 5.56/1.73 % (3472139)Termination reason: Refutation
% 5.56/1.73 % (3472139)Time elapsed: 0.109 s
% 5.56/1.73 % (3472139)Peak memory usage: 91 MB
% 5.56/1.73 % (3472139)Instructions burned: 85 (million)
% 5.56/1.73 % (3472139)------------------------------
% 5.56/1.73 % (3472139)------------------------------
% 5.56/1.73 % (3472120)Success in time 0.699 s
% 5.56/1.73 % Vampire exiting
%------------------------------------------------------------------------------