TSTP Solution File: SEU311+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:33:09 EDT 2022
% Result : Theorem 2.27s 0.70s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 76 ( 8 unt; 0 def)
% Number of atoms : 334 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 411 ( 153 ~; 147 |; 78 &)
% ( 15 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 118 ( 86 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1275,plain,
$false,
inference(avatar_sat_refutation,[],[f1209,f1211,f1258,f1260,f1274]) ).
fof(f1274,plain,
( ~ spl12_29
| spl12_31 ),
inference(avatar_contradiction_clause,[],[f1273]) ).
fof(f1273,plain,
( $false
| ~ spl12_29
| spl12_31 ),
inference(subsumption_resolution,[],[f1270,f806]) ).
fof(f806,plain,
( element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8))))
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl12_29
<=> element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f1270,plain,
( ~ element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8))))
| spl12_31 ),
inference(resolution,[],[f1263,f192]) ).
fof(f192,plain,
! [X2] :
( element(sK10(X2),powerset(the_carrier(sK8)))
| ~ element(X2,powerset(powerset(the_carrier(sK8)))) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( element(sK9,powerset(powerset(the_carrier(sK8))))
& topological_space(sK8)
& top_str(sK8)
& ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(sK8))))
| ( ( ~ in(set_difference(cast_as_carrier_subset(sK8),sK10(X2)),sK9)
| ~ in(sK10(X2),X2) )
& ( in(set_difference(cast_as_carrier_subset(sK8),sK10(X2)),sK9)
| in(sK10(X2),X2) )
& element(sK10(X2),powerset(the_carrier(sK8))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f123,f125,f124]) ).
fof(f124,plain,
( ? [X0,X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
& topological_space(X0)
& top_str(X0)
& ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X0))))
| ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) ) ) )
=> ( element(sK9,powerset(powerset(the_carrier(sK8))))
& topological_space(sK8)
& top_str(sK8)
& ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(sK8))))
| ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK8),X3),sK9)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(sK8),X3),sK9)
| in(X3,X2) )
& element(X3,powerset(the_carrier(sK8))) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK8),X3),sK9)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(sK8),X3),sK9)
| in(X3,X2) )
& element(X3,powerset(the_carrier(sK8))) )
=> ( ( ~ in(set_difference(cast_as_carrier_subset(sK8),sK10(X2)),sK9)
| ~ in(sK10(X2),X2) )
& ( in(set_difference(cast_as_carrier_subset(sK8),sK10(X2)),sK9)
| in(sK10(X2),X2) )
& element(sK10(X2),powerset(the_carrier(sK8))) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0,X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
& topological_space(X0)
& top_str(X0)
& ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X0))))
| ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) ) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
? [X1,X0] :
( element(X0,powerset(powerset(the_carrier(X1))))
& topological_space(X1)
& top_str(X1)
& ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X1),X3),X0)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X1),X3),X0)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X1))) ) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
? [X1,X0] :
( element(X0,powerset(powerset(the_carrier(X1))))
& topological_space(X1)
& top_str(X1)
& ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X1),X3),X0)
| ~ in(X3,X2) )
& ( in(set_difference(cast_as_carrier_subset(X1),X3),X0)
| in(X3,X2) )
& element(X3,powerset(the_carrier(X1))) ) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
? [X1,X0] :
( element(X0,powerset(powerset(the_carrier(X1))))
& topological_space(X1)
& top_str(X1)
& ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ? [X3] :
( ( in(X3,X2)
<~> in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
& element(X3,powerset(the_carrier(X1))) ) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
? [X0,X1] :
( ! [X2] :
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ? [X3] :
( ( in(X3,X2)
<~> in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
& element(X3,powerset(the_carrier(X1))) ) )
& element(X0,powerset(powerset(the_carrier(X1))))
& topological_space(X1)
& top_str(X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
~ ! [X0,X1] :
( ( element(X0,powerset(powerset(the_carrier(X1))))
& topological_space(X1)
& top_str(X1) )
=> ? [X2] :
( ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( in(X3,X2)
<=> in(set_difference(cast_as_carrier_subset(X1),X3),X0) ) )
& element(X2,powerset(powerset(the_carrier(X1)))) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& topological_space(X0)
& top_str(X0) )
=> ? [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
& ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
<=> in(X3,X2) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& topological_space(X0)
& top_str(X0) )
=> ? [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
& ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
<=> in(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_subset_1__e2_37_1_1__pre_topc) ).
fof(f1263,plain,
( ~ element(sK10(sK2(sK9,sK8)),powerset(the_carrier(sK8)))
| spl12_31 ),
inference(subsumption_resolution,[],[f1262,f186]) ).
fof(f186,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f1262,plain,
( empty(powerset(the_carrier(sK8)))
| ~ element(sK10(sK2(sK9,sK8)),powerset(the_carrier(sK8)))
| spl12_31 ),
inference(resolution,[],[f814,f190]) ).
fof(f190,plain,
! [X0,X1] :
( in(X1,X0)
| empty(X0)
| ~ element(X1,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( ( ( in(X1,X0)
| ~ element(X1,X0) )
& ( element(X1,X0)
| ~ in(X1,X0) ) )
| empty(X0) )
& ( ~ empty(X0)
| ( ( element(X1,X0)
| ~ empty(X1) )
& ( empty(X1)
| ~ element(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( ( in(X1,X0)
<=> element(X1,X0) )
| empty(X0) )
& ( ~ empty(X0)
| ( element(X1,X0)
<=> empty(X1) ) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) )
& ( ~ empty(X0)
=> ( in(X1,X0)
<=> element(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f814,plain,
( ~ in(sK10(sK2(sK9,sK8)),powerset(the_carrier(sK8)))
| spl12_31 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f813,plain,
( spl12_31
<=> in(sK10(sK2(sK9,sK8)),powerset(the_carrier(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).
fof(f1260,plain,
( ~ spl12_48
| ~ spl12_29
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f1259,f809,f805,f1255]) ).
fof(f1255,plain,
( spl12_48
<=> in(sK10(sK2(sK9,sK8)),sK2(sK9,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_48])]) ).
fof(f809,plain,
( spl12_30
<=> in(set_difference(cast_as_carrier_subset(sK8),sK10(sK2(sK9,sK8))),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
fof(f1259,plain,
( ~ in(sK10(sK2(sK9,sK8)),sK2(sK9,sK8))
| ~ spl12_29
| ~ spl12_30 ),
inference(subsumption_resolution,[],[f1235,f806]) ).
fof(f1235,plain,
( ~ element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8))))
| ~ in(sK10(sK2(sK9,sK8)),sK2(sK9,sK8))
| ~ spl12_30 ),
inference(resolution,[],[f811,f194]) ).
fof(f194,plain,
! [X2] :
( ~ in(set_difference(cast_as_carrier_subset(sK8),sK10(X2)),sK9)
| ~ in(sK10(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK8)))) ),
inference(cnf_transformation,[],[f126]) ).
fof(f811,plain,
( in(set_difference(cast_as_carrier_subset(sK8),sK10(sK2(sK9,sK8))),sK9)
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f1258,plain,
( spl12_48
| ~ spl12_31
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f1253,f809,f813,f1255]) ).
fof(f1253,plain,
( ~ in(sK10(sK2(sK9,sK8)),powerset(the_carrier(sK8)))
| in(sK10(sK2(sK9,sK8)),sK2(sK9,sK8))
| ~ spl12_30 ),
inference(subsumption_resolution,[],[f1252,f196]) ).
fof(f196,plain,
topological_space(sK8),
inference(cnf_transformation,[],[f126]) ).
fof(f1252,plain,
( ~ in(sK10(sK2(sK9,sK8)),powerset(the_carrier(sK8)))
| ~ topological_space(sK8)
| in(sK10(sK2(sK9,sK8)),sK2(sK9,sK8))
| ~ spl12_30 ),
inference(subsumption_resolution,[],[f1251,f195]) ).
fof(f195,plain,
top_str(sK8),
inference(cnf_transformation,[],[f126]) ).
fof(f1251,plain,
( ~ top_str(sK8)
| in(sK10(sK2(sK9,sK8)),sK2(sK9,sK8))
| ~ topological_space(sK8)
| ~ in(sK10(sK2(sK9,sK8)),powerset(the_carrier(sK8)))
| ~ spl12_30 ),
inference(subsumption_resolution,[],[f1241,f197]) ).
fof(f197,plain,
element(sK9,powerset(powerset(the_carrier(sK8)))),
inference(cnf_transformation,[],[f126]) ).
fof(f1241,plain,
( in(sK10(sK2(sK9,sK8)),sK2(sK9,sK8))
| ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ top_str(sK8)
| ~ topological_space(sK8)
| ~ in(sK10(sK2(sK9,sK8)),powerset(the_carrier(sK8)))
| ~ spl12_30 ),
inference(resolution,[],[f811,f146]) ).
fof(f146,plain,
! [X3,X0,X1] :
( ~ in(set_difference(cast_as_carrier_subset(X1),X3),X0)
| ~ element(X0,powerset(powerset(the_carrier(X1))))
| in(X3,sK2(X0,X1))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ top_str(X1)
| ~ topological_space(X1)
| ! [X3] :
( ( in(X3,sK2(X0,X1))
| ~ in(X3,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
& ( ( in(X3,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
| ~ in(X3,sK2(X0,X1)) ) )
| ~ element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f106,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
& ( ( in(X3,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK2(X0,X1))
| ~ in(X3,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
& ( ( in(X3,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
| ~ in(X3,sK2(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ~ top_str(X1)
| ~ topological_space(X1)
| ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
& ( ( in(X3,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
| ~ in(X3,X2) ) )
| ~ element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ top_str(X1)
| ~ topological_space(X1)
| ? [X2] :
! [X3] :
( ( in(X3,X2)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
& ( ( in(X3,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X3),X0) )
| ~ in(X3,X2) ) )
| ~ element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ top_str(X1)
| ~ topological_space(X1)
| ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X3),X0) ) )
| ~ element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
( ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X3),X0) ) )
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X0,powerset(powerset(the_carrier(X1)))) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( topological_space(X1)
& top_str(X1)
& element(X0,powerset(powerset(the_carrier(X1)))) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X3),X0) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X1,X0] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(powerset(the_carrier(X0)))) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(f1211,plain,
( ~ spl12_29
| spl12_30 ),
inference(avatar_split_clause,[],[f1210,f809,f805]) ).
fof(f1210,plain,
( in(set_difference(cast_as_carrier_subset(sK8),sK10(sK2(sK9,sK8))),sK9)
| ~ element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8)))) ),
inference(subsumption_resolution,[],[f998,f193]) ).
fof(f193,plain,
! [X2] :
( in(sK10(X2),X2)
| in(set_difference(cast_as_carrier_subset(sK8),sK10(X2)),sK9)
| ~ element(X2,powerset(powerset(the_carrier(sK8)))) ),
inference(cnf_transformation,[],[f126]) ).
fof(f998,plain,
( in(set_difference(cast_as_carrier_subset(sK8),sK10(sK2(sK9,sK8))),sK9)
| ~ in(sK10(sK2(sK9,sK8)),sK2(sK9,sK8))
| ~ element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8)))) ),
inference(duplicate_literal_removal,[],[f992]) ).
fof(f992,plain,
( ~ in(sK10(sK2(sK9,sK8)),sK2(sK9,sK8))
| ~ element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8))))
| in(set_difference(cast_as_carrier_subset(sK8),sK10(sK2(sK9,sK8))),sK9)
| ~ element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8)))) ),
inference(resolution,[],[f904,f193]) ).
fof(f904,plain,
! [X24] :
( ~ in(sK10(X24),sK2(sK9,sK8))
| ~ in(sK10(X24),X24)
| ~ element(X24,powerset(powerset(the_carrier(sK8)))) ),
inference(subsumption_resolution,[],[f903,f195]) ).
fof(f903,plain,
! [X24] :
( ~ in(sK10(X24),sK2(sK9,sK8))
| ~ top_str(sK8)
| ~ in(sK10(X24),X24)
| ~ element(X24,powerset(powerset(the_carrier(sK8)))) ),
inference(subsumption_resolution,[],[f902,f196]) ).
fof(f902,plain,
! [X24] :
( ~ topological_space(sK8)
| ~ in(sK10(X24),sK2(sK9,sK8))
| ~ top_str(sK8)
| ~ element(X24,powerset(powerset(the_carrier(sK8))))
| ~ in(sK10(X24),X24) ),
inference(subsumption_resolution,[],[f901,f197]) ).
fof(f901,plain,
! [X24] :
( ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ in(sK10(X24),X24)
| ~ in(sK10(X24),sK2(sK9,sK8))
| ~ top_str(sK8)
| ~ topological_space(sK8)
| ~ element(X24,powerset(powerset(the_carrier(sK8)))) ),
inference(resolution,[],[f144,f194]) ).
fof(f144,plain,
! [X3,X0,X1] :
( in(set_difference(cast_as_carrier_subset(X1),X3),X0)
| ~ topological_space(X1)
| ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ in(X3,sK2(X0,X1))
| ~ top_str(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f1209,plain,
spl12_29,
inference(avatar_split_clause,[],[f1206,f805]) ).
fof(f1206,plain,
element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8)))),
inference(duplicate_literal_removal,[],[f1200]) ).
fof(f1200,plain,
( element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8))))
| element(sK2(sK9,sK8),powerset(powerset(the_carrier(sK8)))) ),
inference(resolution,[],[f794,f177]) ).
fof(f177,plain,
! [X0,X1] :
( ~ in(sK6(X0,X1),X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ( in(sK6(X0,X1),X0)
& ~ in(sK6(X0,X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f90,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK6(X0,X1),X0)
& ~ in(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f794,plain,
! [X1] :
( in(sK6(sK2(sK9,sK8),X1),powerset(the_carrier(sK8)))
| element(sK2(sK9,sK8),powerset(X1)) ),
inference(resolution,[],[f792,f178]) ).
fof(f178,plain,
! [X0,X1] :
( in(sK6(X0,X1),X0)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f792,plain,
! [X15] :
( ~ in(X15,sK2(sK9,sK8))
| in(X15,powerset(the_carrier(sK8))) ),
inference(subsumption_resolution,[],[f791,f195]) ).
fof(f791,plain,
! [X15] :
( in(X15,powerset(the_carrier(sK8)))
| ~ in(X15,sK2(sK9,sK8))
| ~ top_str(sK8) ),
inference(subsumption_resolution,[],[f785,f196]) ).
fof(f785,plain,
! [X15] :
( in(X15,powerset(the_carrier(sK8)))
| ~ topological_space(sK8)
| ~ top_str(sK8)
| ~ in(X15,sK2(sK9,sK8)) ),
inference(resolution,[],[f145,f197]) ).
fof(f145,plain,
! [X3,X0,X1] :
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ in(X3,sK2(X0,X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| in(X3,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 30 15:11:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.56 % (7019)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57 % (7028)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57 % (7034)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.57 % (7026)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.58 % (7019)Instruction limit reached!
% 0.19/0.58 % (7019)------------------------------
% 0.19/0.58 % (7019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (7018)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58 % (7036)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.59 % (7019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (7019)Termination reason: Unknown
% 0.19/0.59 % (7019)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (7019)Memory used [KB]: 5500
% 0.19/0.59 % (7019)Time elapsed: 0.159 s
% 0.19/0.59 % (7019)Instructions burned: 7 (million)
% 0.19/0.59 % (7019)------------------------------
% 0.19/0.59 % (7019)------------------------------
% 0.19/0.59 TRYING [1]
% 1.91/0.60 % (7014)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.91/0.60 TRYING [2]
% 1.91/0.61 % (7023)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.61 % (7022)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.91/0.61 % (7015)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.91/0.61 TRYING [3]
% 2.09/0.62 TRYING [4]
% 2.09/0.62 % (7012)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.09/0.63 % (7013)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.09/0.63 TRYING [1]
% 2.09/0.63 % (7017)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 2.09/0.63 % (7037)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.09/0.63 % (7016)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.09/0.63 % (7040)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.09/0.64 % (7041)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.09/0.64 % (7032)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.27/0.64 % (7033)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.27/0.64 % (7038)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.27/0.64 % (7039)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.27/0.64 % (7029)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.27/0.64 % (7024)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.27/0.65 % (7035)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 2.27/0.65 % (7025)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.27/0.65 % (7030)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.27/0.65 % (7021)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.27/0.65 TRYING [2]
% 2.27/0.65 % (7031)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.27/0.65 TRYING [3]
% 2.27/0.65 % (7013)Refutation not found, incomplete strategy% (7013)------------------------------
% 2.27/0.65 % (7013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.65 % (7013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.65 % (7013)Termination reason: Refutation not found, incomplete strategy
% 2.27/0.65
% 2.27/0.65 % (7013)Memory used [KB]: 5500
% 2.27/0.65 % (7013)Time elapsed: 0.237 s
% 2.27/0.65 % (7013)Instructions burned: 5 (million)
% 2.27/0.65 % (7013)------------------------------
% 2.27/0.65 % (7013)------------------------------
% 2.27/0.66 % (7018)Instruction limit reached!
% 2.27/0.66 % (7018)------------------------------
% 2.27/0.66 % (7018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.66 % (7027)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 2.27/0.67 TRYING [1]
% 2.27/0.67 % (7018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.67 % (7018)Termination reason: Unknown
% 2.27/0.67 % (7018)Termination phase: Finite model building SAT solving
% 2.27/0.67
% 2.27/0.67 % (7018)Memory used [KB]: 6908
% 2.27/0.67 % (7018)Time elapsed: 0.149 s
% 2.27/0.67 % (7018)Instructions burned: 51 (million)
% 2.27/0.67 % (7018)------------------------------
% 2.27/0.67 % (7018)------------------------------
% 2.27/0.67 TRYING [2]
% 2.27/0.67 % (7020)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.27/0.67 TRYING [3]
% 2.27/0.67 % (7020)Instruction limit reached!
% 2.27/0.67 % (7020)------------------------------
% 2.27/0.67 % (7020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.67 % (7020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.67 % (7020)Termination reason: Unknown
% 2.27/0.67 % (7020)Termination phase: Preprocessing 3
% 2.27/0.67
% 2.27/0.67 % (7020)Memory used [KB]: 895
% 2.27/0.67 % (7020)Time elapsed: 0.003 s
% 2.27/0.67 % (7020)Instructions burned: 2 (million)
% 2.27/0.67 % (7020)------------------------------
% 2.27/0.67 % (7020)------------------------------
% 2.27/0.68 TRYING [4]
% 2.27/0.69 % (7028)First to succeed.
% 2.27/0.70 % (7028)Refutation found. Thanks to Tanya!
% 2.27/0.70 % SZS status Theorem for theBenchmark
% 2.27/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.27/0.70 % (7028)------------------------------
% 2.27/0.70 % (7028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70 % (7028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70 % (7028)Termination reason: Refutation
% 2.27/0.70
% 2.27/0.70 % (7028)Memory used [KB]: 6140
% 2.27/0.70 % (7028)Time elapsed: 0.259 s
% 2.27/0.70 % (7028)Instructions burned: 57 (million)
% 2.27/0.70 % (7028)------------------------------
% 2.27/0.70 % (7028)------------------------------
% 2.27/0.70 % (7011)Success in time 0.351 s
%------------------------------------------------------------------------------