%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU383+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:53:05 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 130 ( 16 unt; 5 def)
% Number of atoms : 492 ( 22 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 589 ( 227 ~; 229 |; 95 &)
% ( 14 <=>; 21 =>; 0 <=; 3 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 6 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn 126 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,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(f12,axiom,
! [X0] :
( rel_str(X0)
=> element(bottom_of_relstr(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(f13,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f20,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f34,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f35,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f36,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f38,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f41,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ( proper_element(X1,powerset(X0))
<=> X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tex_2) ).
fof(f45,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,X0)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel_7) ).
fof(f46,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,X0)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f50,plain,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
inference(pure_predicate_removal,[],[f46]) ).
fof(f61,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,[],[f8]) ).
fof(f62,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,[],[f61]) ).
fof(f64,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f65,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f66,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f67,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f66]) ).
fof(f75,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f76,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f77,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f83,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f82]) ).
fof(f85,plain,
! [X0,X1] :
( ( proper_element(X1,powerset(X0))
<=> X1 != X0 )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<~> ~ in(bottom_of_relstr(X0),X1) )
& ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<~> ~ in(bottom_of_relstr(X0),X1) )
& ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f89]) ).
fof(f91,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,[],[f62]) ).
fof(f92,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,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ( ~ in(sK1(X0,X1),X1)
& in(sK0(X0,X1),X1)
& related(X0,sK0(X0,X1),sK1(X0,X1))
& element(sK1(X0,X1),the_carrier(X0))
& element(sK0(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,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f92]) ).
fof(f107,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f108,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK15(X0,X1),X1)
| ~ in(sK15(X0,X1),X0) )
& ( in(sK15(X0,X1),X1)
| in(sK15(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X2,sK15(X0,X1))],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( ( proper_element(X1,powerset(X0))
| X0 = X1 )
& ( X1 != X0
| ~ proper_element(X1,powerset(X0)) ) )
| ~ element(X1,powerset(X0)) ),
inference(nnf_transformation,[],[f85]) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(nnf_transformation,[],[f90]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
( ( in(bottom_of_relstr(sK16),sK17)
| ~ proper_element(sK17,powerset(the_carrier(sK16))) )
& ( ~ in(bottom_of_relstr(sK16),sK17)
| proper_element(sK17,powerset(the_carrier(sK16))) )
& ~ empty(sK17)
& upper_relstr_subset(sK17,sK16)
& element(sK17,powerset(the_carrier(sK16)))
& ~ empty_carrier(sK16)
& reflexive_relstr(sK16)
& transitive_relstr(sK16)
& antisymmetric_relstr(sK16)
& lower_bounded_relstr(sK16)
& rel_str(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f111]) ).
fof(f121,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,[],[f93]) ).
fof(f128,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f129,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f133,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f158,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f159,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f160,plain,
! [X0,X1] :
( in(sK15(X0,X1),X1)
| in(sK15(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f161,plain,
! [X0,X1] :
( ~ in(sK15(X0,X1),X1)
| X0 = X1
| ~ in(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f163,plain,
! [X0,X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f166,plain,
! [X0,X1] :
( X0 != X1
| ~ proper_element(X1,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f167,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| X0 = X1
| proper_element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f171,plain,
rel_str(sK16),
inference(cnf_transformation,[],[f112]) ).
fof(f172,plain,
lower_bounded_relstr(sK16),
inference(cnf_transformation,[],[f112]) ).
fof(f173,plain,
antisymmetric_relstr(sK16),
inference(cnf_transformation,[],[f112]) ).
fof(f176,plain,
~ empty_carrier(sK16),
inference(cnf_transformation,[],[f112]) ).
fof(f177,plain,
element(sK17,powerset(the_carrier(sK16))),
inference(cnf_transformation,[],[f112]) ).
fof(f178,plain,
upper_relstr_subset(sK17,sK16),
inference(cnf_transformation,[],[f112]) ).
fof(f179,plain,
~ empty(sK17),
inference(cnf_transformation,[],[f112]) ).
fof(f180,plain,
( ~ in(bottom_of_relstr(sK16),sK17)
| proper_element(sK17,powerset(the_carrier(sK16))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f181,plain,
( in(bottom_of_relstr(sK16),sK17)
| ~ proper_element(sK17,powerset(the_carrier(sK16))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f182,plain,
! [X1] :
( ~ proper_element(X1,powerset(X1))
| ~ element(X1,powerset(X1)) ),
inference(equality_resolution,[],[f166]) ).
fof(f184,definition,
( spl18_1
<=> proper_element(sK17,powerset(the_carrier(sK16))) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f185,plain,
( ~ proper_element(sK17,powerset(the_carrier(sK16)))
| spl18_1 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f186,plain,
( proper_element(sK17,powerset(the_carrier(sK16)))
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl18_2
<=> in(bottom_of_relstr(sK16),sK17) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f189,plain,
( in(bottom_of_relstr(sK16),sK17)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( ~ in(bottom_of_relstr(sK16),sK17)
| spl18_2 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f191,plain,
( spl18_1
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f180,f188,f184]) ).
fof(f192,plain,
( ~ spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f181,f188,f184]) ).
fof(f196,plain,
one_sorted_str(sK16),
inference(resolution,[],[f129,f171]) ).
fof(f264,definition,
( spl18_5
<=> empty(the_carrier(sK16)) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f265,plain,
( empty(the_carrier(sK16))
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( ~ empty(the_carrier(sK16))
| spl18_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f298,plain,
! [X0] :
( element(X0,the_carrier(sK16))
| ~ in(X0,sK17) ),
inference(resolution,[],[f164,f177]) ).
fof(f300,plain,
! [X0] :
( ~ in(X0,sK17)
| in(X0,the_carrier(sK16))
| empty(the_carrier(sK16)) ),
inference(resolution,[],[f298,f159]) ).
fof(f301,plain,
( ! [X0] :
( in(X0,the_carrier(sK16))
| ~ in(X0,sK17) )
| spl18_5 ),
inference(forward_subsumption_resolution,[],[f300,f266]) ).
fof(f313,plain,
( sK17 = the_carrier(sK16)
| proper_element(sK17,powerset(the_carrier(sK16))) ),
inference(resolution,[],[f167,f177]) ).
fof(f314,plain,
( sK17 = the_carrier(sK16)
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f313,f185]) ).
fof(f328,plain,
( element(bottom_of_relstr(sK16),sK17)
| ~ rel_str(sK16)
| spl18_1 ),
inference(superposition,[],[f128,f314]) ).
fof(f329,plain,
( element(bottom_of_relstr(sK16),sK17)
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f328,f171]) ).
fof(f334,plain,
! [X0,X1] :
( element(sK15(X0,X1),X1)
| in(sK15(X0,X1),X0)
| X0 = X1 ),
inference(resolution,[],[f160,f158]) ).
fof(f348,plain,
( ! [X0] :
( ~ in(sK15(X0,the_carrier(sK16)),sK17)
| ~ in(sK15(X0,the_carrier(sK16)),X0)
| the_carrier(sK16) = X0 )
| spl18_5 ),
inference(resolution,[],[f161,f301]) ).
fof(f383,plain,
( in(bottom_of_relstr(sK16),sK17)
| empty(sK17)
| spl18_1 ),
inference(resolution,[],[f329,f159]) ).
fof(f384,plain,
( empty(sK17)
| spl18_1
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f383,f190]) ).
fof(f385,plain,
( $false
| spl18_1
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f384,f179]) ).
fof(f386,plain,
( spl18_1
| spl18_2 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f388,definition,
( spl18_9
<=> sK17 = the_carrier(sK16) ),
introduced(definition,[new_symbols(definition,[spl18_9])],[avatar_definition]) ).
fof(f390,plain,
( sK17 = the_carrier(sK16)
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f419,plain,
! [X0,X1,X4,X5] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| in(X5,X1)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[],[f121,f164]) ).
fof(f429,plain,
! [X0,X1] :
( ~ in(X0,sK17)
| ~ related(sK16,X0,X1)
| ~ element(X1,the_carrier(sK16))
| ~ upper_relstr_subset(sK17,sK16)
| in(X1,sK17)
| ~ rel_str(sK16) ),
inference(resolution,[],[f419,f177]) ).
fof(f431,plain,
! [X0,X1] :
( ~ in(X0,sK17)
| ~ related(sK16,X0,X1)
| ~ element(X1,the_carrier(sK16))
| in(X1,sK17)
| ~ rel_str(sK16) ),
inference(forward_subsumption_resolution,[],[f429,f178]) ).
fof(f435,plain,
! [X0,X1] :
( ~ related(sK16,X0,X1)
| ~ in(X0,sK17)
| ~ element(X1,the_carrier(sK16))
| in(X1,sK17) ),
inference(forward_subsumption_resolution,[],[f431,f171]) ).
fof(f436,plain,
! [X0] :
( ~ in(bottom_of_relstr(sK16),sK17)
| ~ element(X0,the_carrier(sK16))
| in(X0,sK17)
| ~ element(X0,the_carrier(sK16))
| empty_carrier(sK16)
| ~ antisymmetric_relstr(sK16)
| ~ lower_bounded_relstr(sK16)
| ~ rel_str(sK16) ),
inference(resolution,[],[f435,f163]) ).
fof(f438,plain,
! [X0] :
( ~ in(bottom_of_relstr(sK16),sK17)
| ~ element(X0,the_carrier(sK16))
| in(X0,sK17)
| empty_carrier(sK16)
| ~ antisymmetric_relstr(sK16)
| ~ lower_bounded_relstr(sK16)
| ~ rel_str(sK16) ),
inference(duplicate_literal_removal,[],[f436]) ).
fof(f440,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK16))
| in(X0,sK17)
| empty_carrier(sK16)
| ~ antisymmetric_relstr(sK16)
| ~ lower_bounded_relstr(sK16)
| ~ rel_str(sK16) )
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f438,f189]) ).
fof(f441,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK16))
| in(X0,sK17)
| ~ antisymmetric_relstr(sK16)
| ~ lower_bounded_relstr(sK16)
| ~ rel_str(sK16) )
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f440,f176]) ).
fof(f442,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK16))
| in(X0,sK17)
| ~ lower_bounded_relstr(sK16)
| ~ rel_str(sK16) )
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f441,f173]) ).
fof(f443,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK16))
| in(X0,sK17)
| ~ rel_str(sK16) )
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f442,f172]) ).
fof(f444,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK16))
| in(X0,sK17) )
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f443,f171]) ).
fof(f709,plain,
( ! [X0] :
( in(sK15(X0,the_carrier(sK16)),sK17)
| in(sK15(X0,the_carrier(sK16)),X0)
| the_carrier(sK16) = X0 )
| ~ spl18_2 ),
inference(resolution,[],[f334,f444]) ).
fof(f777,plain,
( in(sK15(sK17,the_carrier(sK16)),sK17)
| sK17 = the_carrier(sK16)
| ~ spl18_2 ),
inference(factoring,[],[f709]) ).
fof(f781,definition,
( spl18_28
<=> in(sK15(sK17,the_carrier(sK16)),sK17) ),
introduced(definition,[new_symbols(definition,[spl18_28])],[avatar_definition]) ).
fof(f783,plain,
( in(sK15(sK17,the_carrier(sK16)),sK17)
| ~ spl18_28 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f784,plain,
( spl18_9
| spl18_28
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f777,f188,f781,f388]) ).
fof(f785,plain,
( ~ in(sK15(sK17,the_carrier(sK16)),sK17)
| sK17 = the_carrier(sK16)
| spl18_5
| ~ spl18_28 ),
inference(resolution,[],[f783,f348]) ).
fof(f789,plain,
( sK17 = the_carrier(sK16)
| spl18_5
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f785,f783]) ).
fof(f790,plain,
( spl18_9
| spl18_5
| ~ spl18_28 ),
inference(avatar_split_clause,[],[f789,f781,f264,f388]) ).
fof(f795,plain,
( empty_carrier(sK16)
| ~ one_sorted_str(sK16)
| ~ spl18_5 ),
inference(resolution,[],[f265,f133]) ).
fof(f801,plain,
( ~ one_sorted_str(sK16)
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f795,f176]) ).
fof(f802,plain,
( $false
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f801,f196]) ).
fof(f803,plain,
~ spl18_5,
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f835,plain,
( element(sK17,powerset(sK17))
| ~ spl18_9 ),
inference(superposition,[],[f177,f390]) ).
fof(f836,plain,
( proper_element(sK17,powerset(sK17))
| ~ spl18_1
| ~ spl18_9 ),
inference(superposition,[],[f186,f390]) ).
fof(f936,plain,
( ~ element(sK17,powerset(sK17))
| ~ spl18_1
| ~ spl18_9 ),
inference(resolution,[],[f836,f182]) ).
fof(f937,plain,
( $false
| ~ spl18_1
| ~ spl18_9 ),
inference(forward_subsumption_resolution,[],[f936,f835]) ).
fof(f938,plain,
( ~ spl18_1
| ~ spl18_9 ),
inference(avatar_contradiction_clause,[],[f937]) ).
cnf(s1,plain,
( spl18_1
| ~ spl18_2 ),
inference(sat_conversion,[],[f191]) ).
cnf(s2,plain,
( ~ spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f192]) ).
cnf(s11,plain,
( spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f386]) ).
cnf(s27,plain,
( ~ spl18_2
| spl18_9
| spl18_28 ),
inference(sat_conversion,[],[f784]) ).
cnf(s28,plain,
( spl18_5
| spl18_9
| ~ spl18_28 ),
inference(sat_conversion,[],[f790]) ).
cnf(s31,plain,
~ spl18_5,
inference(sat_conversion,[],[f803]) ).
cnf(s45,plain,
( ~ spl18_1
| ~ spl18_9 ),
inference(sat_conversion,[],[f938]) ).
cnf(s47,plain,
( spl18_9
| ~ spl18_28 ),
inference(rat,[],[s28,s31]) ).
cnf(s55,plain,
spl18_1,
inference(rat,[],[s1,s11]) ).
cnf(s56,plain,
~ spl18_9,
inference(rat,[],[s45,s55]) ).
cnf(s57,plain,
spl18_2,
inference(rat,[],[s2,s55]) ).
cnf(s58,plain,
~ spl18_28,
inference(rat,[],[s47,s56]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s27,s58,s56,s57]) ).
fof(f939,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU383+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:03:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 % (3029984)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3029989)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=108349967_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (3029990)% WARNING: option uhcvi not known.
% 0.17/0.48 % TRYING [4]
% 0.17/0.48 % (3029992)dis+10_1_sil=32000:sp=arity:random_seed=2343321330:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (3029990)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1754477114:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (3029991)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=217107994:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % TRYING [5]
% 0.17/0.48 % (3029994)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2477749230:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (3029993)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2275313584:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3029995)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=794295974:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % TRYING [6]
% 0.17/0.48 % TRYING [7]
% 0.17/0.48 % (3029992) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3029984-3029992"...
% 0.17/0.48 % (3029992)...printing done.
% 0.17/0.48 % (3029992)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (3029992)------------------------------
% 0.17/0.49 % (3029992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (3029992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (3029992)CaDiCaL version: 2.1.3
% 0.17/0.49 % (3029992)Termination reason: Refutation
% 0.17/0.49 % (3029992)Time elapsed: 0.021 s
% 0.17/0.49 % (3029992)Peak memory usage: 13 MB
% 0.17/0.49 % (3029992)Instructions burned: 30 (million)
% 0.17/0.49 % (3029984)Success in time 0.056 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------