TSTP Solution File: SEU310+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Tue Apr 30 15:28:14 EDT 2024
% Result : Theorem 0.13s 0.31s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 46
% Syntax : Number of formulae : 293 ( 22 unt; 0 def)
% Number of atoms : 1065 ( 67 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 1233 ( 461 ~; 486 |; 226 &)
% ( 15 <=>; 43 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 9 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-3 aty)
% Number of variables : 412 ( 345 !; 67 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f417,plain,
$false,
inference(avatar_sat_refutation,[],[f215,f238,f326,f336,f349,f394,f416]) ).
fof(f416,plain,
( spl16_5
| spl16_7
| ~ spl16_8 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| spl16_5
| spl16_7
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f414,f116]) ).
fof(f116,plain,
topological_space(sK4),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ! [X2] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK4),sK6(X2)),sK5)
| ~ in(sK6(X2),powerset(the_carrier(sK4)))
| ~ in(sK6(X2),X2) )
& ( ( in(set_difference(cast_as_carrier_subset(sK4),sK6(X2)),sK5)
& in(sK6(X2),powerset(the_carrier(sK4))) )
| in(sK6(X2),X2) ) )
& element(sK5,powerset(powerset(the_carrier(sK4))))
& top_str(sK4)
& topological_space(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f90,f92,f91]) ).
fof(f91,plain,
( ? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2] :
? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK4),X3),sK5)
| ~ in(X3,powerset(the_carrier(sK4)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(sK4),X3),sK5)
& in(X3,powerset(the_carrier(sK4))) )
| in(X3,X2) ) )
& element(sK5,powerset(powerset(the_carrier(sK4))))
& top_str(sK4)
& topological_space(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X2] :
( ? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(sK4),X3),sK5)
| ~ in(X3,powerset(the_carrier(sK4)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(sK4),X3),sK5)
& in(X3,powerset(the_carrier(sK4))) )
| in(X3,X2) ) )
=> ( ( ~ in(set_difference(cast_as_carrier_subset(sK4),sK6(X2)),sK5)
| ~ in(sK6(X2),powerset(the_carrier(sK4)))
| ~ in(sK6(X2),X2) )
& ( ( in(set_difference(cast_as_carrier_subset(sK4),sK6(X2)),sK5)
& in(sK6(X2),powerset(the_carrier(sK4))) )
| in(sK6(X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) )
& element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& in(X3,powerset(the_carrier(X0))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(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(f414,plain,
( ~ topological_space(sK4)
| spl16_5
| spl16_7
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f413,f117]) ).
fof(f117,plain,
top_str(sK4),
inference(cnf_transformation,[],[f93]) ).
fof(f413,plain,
( ~ top_str(sK4)
| ~ topological_space(sK4)
| spl16_5
| spl16_7
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f412,f118]) ).
fof(f118,plain,
element(sK5,powerset(powerset(the_carrier(sK4)))),
inference(cnf_transformation,[],[f93]) ).
fof(f412,plain,
( ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| spl16_5
| spl16_7
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f411,f321]) ).
fof(f321,plain,
( ~ sP3(sK5,sK4)
| spl16_5 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl16_5
<=> sP3(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f411,plain,
( sP3(sK5,sK4)
| ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| spl16_7
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f410,f396]) ).
fof(f396,plain,
( in(sK6(sK13(sK4,sK5)),sK13(sK4,sK5))
| spl16_7 ),
inference(resolution,[],[f343,f119]) ).
fof(f119,plain,
! [X2] :
( in(sK6(X2),powerset(the_carrier(sK4)))
| in(sK6(X2),X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f343,plain,
( ~ in(sK6(sK13(sK4,sK5)),powerset(the_carrier(sK4)))
| spl16_7 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl16_7
<=> in(sK6(sK13(sK4,sK5)),powerset(the_carrier(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f410,plain,
( ~ in(sK6(sK13(sK4,sK5)),sK13(sK4,sK5))
| sP3(sK5,sK4)
| ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| spl16_7
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f409,f343]) ).
fof(f409,plain,
( in(sK6(sK13(sK4,sK5)),powerset(the_carrier(sK4)))
| ~ in(sK6(sK13(sK4,sK5)),sK13(sK4,sK5))
| sP3(sK5,sK4)
| ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| ~ spl16_8 ),
inference(superposition,[],[f178,f348]) ).
fof(f348,plain,
( sK6(sK13(sK4,sK5)) = sK14(sK4,sK5,sK6(sK13(sK4,sK5)))
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl16_8
<=> sK6(sK13(sK4,sK5)) = sK14(sK4,sK5,sK6(sK13(sK4,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f178,plain,
! [X3,X0,X1] :
( in(sK14(X0,X1,X3),powerset(the_carrier(X0)))
| ~ in(X3,sK13(X0,X1))
| sP3(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK13(X0,X1))
| ! [X4] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& sK14(X0,X1,X3) = X3
& in(sK14(X0,X1,X3),powerset(the_carrier(X0))) )
| ~ in(X3,sK13(X0,X1)) ) )
| sP3(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f110,f112,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X5] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X5
& in(X5,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK13(X0,X1))
| ! [X4] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X5] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X5
& in(X5,powerset(the_carrier(X0))) )
| ~ in(X3,sK13(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1,X3] :
( ? [X5] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X5
& in(X5,powerset(the_carrier(X0))) )
=> ( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& sK14(X0,X1,X3) = X3
& in(sK14(X0,X1,X3),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X5] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X5
& in(X5,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| sP3(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( ( in(X6,X5)
| ! [X7] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X6),X1)
| X6 != X7
| ~ in(X7,powerset(the_carrier(X0))) ) )
& ( ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) )
| ~ in(X6,X5) ) )
| sP3(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) ) )
| sP3(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(definition_folding,[],[f80,f87]) ).
fof(f87,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f80,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) ) )
| ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) ) )
| ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2,X3,X4] :
( ( in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
=> X3 = X4 )
=> ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(set_difference(cast_as_carrier_subset(X0),X6),X1)
& X6 = X7
& in(X7,powerset(the_carrier(X0))) ) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( element(X1,powerset(powerset(the_carrier(X0))))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2,X3,X4] :
( ( in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X3 = X4
& in(X4,powerset(the_carrier(X0))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e2_37_1_1__pre_topc__1) ).
fof(f394,plain,
( spl16_5
| ~ spl16_7 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| spl16_5
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f392,f116]) ).
fof(f392,plain,
( ~ topological_space(sK4)
| spl16_5
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f391,f117]) ).
fof(f391,plain,
( ~ top_str(sK4)
| ~ topological_space(sK4)
| spl16_5
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f390,f118]) ).
fof(f390,plain,
( ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| spl16_5
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f389,f321]) ).
fof(f389,plain,
( sP3(sK5,sK4)
| ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| spl16_5
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f388,f344]) ).
fof(f344,plain,
( in(sK6(sK13(sK4,sK5)),powerset(the_carrier(sK4)))
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f388,plain,
( ~ in(sK6(sK13(sK4,sK5)),powerset(the_carrier(sK4)))
| sP3(sK5,sK4)
| ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| spl16_5
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f378,f368]) ).
fof(f368,plain,
( ~ in(sK6(sK13(sK4,sK5)),sK13(sK4,sK5))
| spl16_5
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f366,f344]) ).
fof(f366,plain,
( ~ in(sK6(sK13(sK4,sK5)),powerset(the_carrier(sK4)))
| ~ in(sK6(sK13(sK4,sK5)),sK13(sK4,sK5))
| spl16_5
| ~ spl16_7 ),
inference(resolution,[],[f365,f121]) ).
fof(f121,plain,
! [X2] :
( ~ in(set_difference(cast_as_carrier_subset(sK4),sK6(X2)),sK5)
| ~ in(sK6(X2),powerset(the_carrier(sK4)))
| ~ in(sK6(X2),X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f365,plain,
( in(set_difference(cast_as_carrier_subset(sK4),sK6(sK13(sK4,sK5))),sK5)
| spl16_5
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f364,f120]) ).
fof(f120,plain,
! [X2] :
( in(set_difference(cast_as_carrier_subset(sK4),sK6(X2)),sK5)
| in(sK6(X2),X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f364,plain,
( ~ in(sK6(sK13(sK4,sK5)),sK13(sK4,sK5))
| in(set_difference(cast_as_carrier_subset(sK4),sK6(sK13(sK4,sK5))),sK5)
| spl16_5
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f362,f344]) ).
fof(f362,plain,
( ~ in(sK6(sK13(sK4,sK5)),powerset(the_carrier(sK4)))
| ~ in(sK6(sK13(sK4,sK5)),sK13(sK4,sK5))
| in(set_difference(cast_as_carrier_subset(sK4),sK6(sK13(sK4,sK5))),sK5)
| spl16_5 ),
inference(resolution,[],[f361,f120]) ).
fof(f361,plain,
( ! [X0] :
( ~ in(sK6(X0),sK13(sK4,sK5))
| ~ in(sK6(X0),powerset(the_carrier(sK4)))
| ~ in(sK6(X0),X0) )
| spl16_5 ),
inference(subsumption_resolution,[],[f360,f116]) ).
fof(f360,plain,
( ! [X0] :
( ~ in(sK6(X0),sK13(sK4,sK5))
| ~ topological_space(sK4)
| ~ in(sK6(X0),powerset(the_carrier(sK4)))
| ~ in(sK6(X0),X0) )
| spl16_5 ),
inference(subsumption_resolution,[],[f359,f117]) ).
fof(f359,plain,
( ! [X0] :
( ~ in(sK6(X0),sK13(sK4,sK5))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| ~ in(sK6(X0),powerset(the_carrier(sK4)))
| ~ in(sK6(X0),X0) )
| spl16_5 ),
inference(subsumption_resolution,[],[f358,f118]) ).
fof(f358,plain,
( ! [X0] :
( ~ in(sK6(X0),sK13(sK4,sK5))
| ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| ~ in(sK6(X0),powerset(the_carrier(sK4)))
| ~ in(sK6(X0),X0) )
| spl16_5 ),
inference(subsumption_resolution,[],[f351,f321]) ).
fof(f351,plain,
! [X0] :
( ~ in(sK6(X0),sK13(sK4,sK5))
| sP3(sK5,sK4)
| ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| ~ in(sK6(X0),powerset(the_carrier(sK4)))
| ~ in(sK6(X0),X0) ),
inference(resolution,[],[f180,f121]) ).
fof(f180,plain,
! [X3,X0,X1] :
( in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| ~ in(X3,sK13(X0,X1))
| sP3(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f378,plain,
( in(sK6(sK13(sK4,sK5)),sK13(sK4,sK5))
| ~ in(sK6(sK13(sK4,sK5)),powerset(the_carrier(sK4)))
| sP3(sK5,sK4)
| ~ element(sK5,powerset(powerset(the_carrier(sK4))))
| ~ top_str(sK4)
| ~ topological_space(sK4)
| spl16_5
| ~ spl16_7 ),
inference(resolution,[],[f188,f365]) ).
fof(f188,plain,
! [X0,X1,X4] :
( ~ in(set_difference(cast_as_carrier_subset(X0),X4),X1)
| in(X4,sK13(X0,X1))
| ~ in(X4,powerset(the_carrier(X0)))
| sP3(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X3,X0,X1,X4] :
( in(X3,sK13(X0,X1))
| ~ in(set_difference(cast_as_carrier_subset(X0),X3),X1)
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0)))
| sP3(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f349,plain,
( spl16_7
| spl16_8
| ~ spl16_6 ),
inference(avatar_split_clause,[],[f338,f324,f346,f342]) ).
fof(f324,plain,
( spl16_6
<=> ! [X0] :
( ~ in(X0,sK13(sK4,sK5))
| sK14(sK4,sK5,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f338,plain,
( sK6(sK13(sK4,sK5)) = sK14(sK4,sK5,sK6(sK13(sK4,sK5)))
| in(sK6(sK13(sK4,sK5)),powerset(the_carrier(sK4)))
| ~ spl16_6 ),
inference(resolution,[],[f325,f119]) ).
fof(f325,plain,
( ! [X0] :
( ~ in(X0,sK13(sK4,sK5))
| sK14(sK4,sK5,X0) = X0 )
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f336,plain,
~ spl16_5,
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl16_5 ),
inference(global_subsumption,[],[f188,f180,f178,f116,f117,f182,f183,f184,f185,f186,f187,f122,f155,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f140,f145,f149,f189,f194,f190,f195,f191,f196,f192,f197,f193,f198,f118,f124,f154,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f123,f156,f157,f158,f159,f160,f119,f201,f202,f199,f125,f200,f139,f204,f206,f205,f221,f222,f223,f224,f141,f227,f228,f225,f142,f246,f143,f250,f144,f254,f146,f258,f147,f264,f148,f268,f150,f151,f272,f277,f152,f283,f203,f226,f244,f248,f120,f252,f256,f262,f266,f270,f275,f281,f287,f288,f289,f290,f153,f291,f292,f293,f173,f175,f177,f294,f295,f296,f297,f298,f174,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f176,f310,f311,f121,f179,f318,f315,f317,f322,f328,f327,f332,f333,f334]) ).
fof(f334,plain,
( sK10(sK5,sK4) != sK11(sK5,sK4)
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f331,f322]) ).
fof(f331,plain,
( sK10(sK5,sK4) != sK11(sK5,sK4)
| ~ sP3(sK5,sK4)
| ~ spl16_5 ),
inference(superposition,[],[f177,f327]) ).
fof(f333,plain,
( in(set_difference(cast_as_carrier_subset(sK4),sK10(sK5,sK4)),sK5)
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f330,f322]) ).
fof(f330,plain,
( in(set_difference(cast_as_carrier_subset(sK4),sK10(sK5,sK4)),sK5)
| ~ sP3(sK5,sK4)
| ~ spl16_5 ),
inference(superposition,[],[f176,f327]) ).
fof(f332,plain,
( ~ in(sK5,set_difference(cast_as_carrier_subset(sK4),sK10(sK5,sK4)))
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f329,f322]) ).
fof(f329,plain,
( ~ in(sK5,set_difference(cast_as_carrier_subset(sK4),sK10(sK5,sK4)))
| ~ sP3(sK5,sK4)
| ~ spl16_5 ),
inference(superposition,[],[f311,f327]) ).
fof(f327,plain,
( sK10(sK5,sK4) = sK12(sK5,sK4)
| ~ spl16_5 ),
inference(resolution,[],[f322,f175]) ).
fof(f328,plain,
( sK10(sK5,sK4) = sK11(sK5,sK4)
| ~ spl16_5 ),
inference(resolution,[],[f322,f173]) ).
fof(f322,plain,
( sP3(sK5,sK4)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f317,plain,
! [X0] :
( ~ in(X0,sK13(sK4,sK5))
| sP3(sK5,sK4)
| sK14(sK4,sK5,X0) = X0 ),
inference(subsumption_resolution,[],[f316,f116]) ).
fof(f316,plain,
! [X0] :
( ~ in(X0,sK13(sK4,sK5))
| sP3(sK5,sK4)
| sK14(sK4,sK5,X0) = X0
| ~ topological_space(sK4) ),
inference(subsumption_resolution,[],[f313,f117]) ).
fof(f313,plain,
! [X0] :
( ~ in(X0,sK13(sK4,sK5))
| sP3(sK5,sK4)
| sK14(sK4,sK5,X0) = X0
| ~ top_str(sK4)
| ~ topological_space(sK4) ),
inference(resolution,[],[f179,f118]) ).
fof(f315,plain,
! [X0,X1] :
( ~ in(X0,sK13(X1,sK9(powerset(the_carrier(X1)))))
| sP3(sK9(powerset(the_carrier(X1))),X1)
| sK14(X1,sK9(powerset(the_carrier(X1))),X0) = X0
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(resolution,[],[f179,f154]) ).
fof(f318,plain,
! [X0,X1] :
( ~ in(X0,sK13(X1,sK7(powerset(the_carrier(X1)))))
| sP3(sK7(powerset(the_carrier(X1))),X1)
| sK14(X1,sK7(powerset(the_carrier(X1))),X0) = X0
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(subsumption_resolution,[],[f314,f122]) ).
fof(f314,plain,
! [X0,X1] :
( ~ in(X0,sK13(X1,sK7(powerset(the_carrier(X1)))))
| sP3(sK7(powerset(the_carrier(X1))),X1)
| sK14(X1,sK7(powerset(the_carrier(X1))),X0) = X0
| ~ top_str(X1)
| ~ topological_space(X1)
| empty(powerset(the_carrier(X1))) ),
inference(resolution,[],[f179,f123]) ).
fof(f179,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ in(X3,sK13(X0,X1))
| sP3(X1,X0)
| sK14(X0,X1,X3) = X3
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f311,plain,
! [X0,X1] :
( ~ in(X0,set_difference(cast_as_carrier_subset(X1),sK12(X0,X1)))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f176,f172]) ).
fof(f310,plain,
! [X0,X1] :
( ~ in(X0,set_difference(cast_as_carrier_subset(X1),sK11(X0,X1)))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f174,f172]) ).
fof(f176,plain,
! [X0,X1] :
( in(set_difference(cast_as_carrier_subset(X1),sK12(X0,X1)),X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( sK11(X0,X1) != sK12(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK12(X0,X1)),X0)
& sK10(X0,X1) = sK12(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK11(X0,X1)),X0)
& sK10(X0,X1) = sK11(X0,X1) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f106,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X0)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X1),X3),X0)
& X2 = X3 )
=> ( sK11(X0,X1) != sK12(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK12(X0,X1)),X0)
& sK10(X0,X1) = sK12(X0,X1)
& in(set_difference(cast_as_carrier_subset(X1),sK11(X0,X1)),X0)
& sK10(X0,X1) = sK11(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X0)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X1),X3),X0)
& X2 = X3 )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& in(set_difference(cast_as_carrier_subset(X0),X4),X1)
& X2 = X4
& in(set_difference(cast_as_carrier_subset(X0),X3),X1)
& X2 = X3 )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f87]) ).
fof(f309,plain,
! [X0] :
( v1_membered(sK8(X0))
| ~ top_str(X0)
| ~ v5_membered(the_carrier(X0))
| ~ topological_space(X0) ),
inference(resolution,[],[f294,f134]) ).
fof(f308,plain,
! [X0] :
( v2_membered(sK8(X0))
| ~ top_str(X0)
| ~ v5_membered(the_carrier(X0))
| ~ topological_space(X0) ),
inference(resolution,[],[f294,f135]) ).
fof(f307,plain,
! [X0] :
( v3_membered(sK8(X0))
| ~ top_str(X0)
| ~ v5_membered(the_carrier(X0))
| ~ topological_space(X0) ),
inference(resolution,[],[f294,f136]) ).
fof(f306,plain,
! [X0] :
( v4_membered(sK8(X0))
| ~ top_str(X0)
| ~ v5_membered(the_carrier(X0))
| ~ topological_space(X0) ),
inference(resolution,[],[f294,f137]) ).
fof(f305,plain,
! [X0] :
( v5_membered(sK8(X0))
| ~ top_str(X0)
| ~ v5_membered(the_carrier(X0))
| ~ topological_space(X0) ),
inference(resolution,[],[f294,f138]) ).
fof(f304,plain,
! [X0] :
( v1_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v1_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f152]) ).
fof(f303,plain,
! [X0] :
( v2_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v2_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f151]) ).
fof(f302,plain,
! [X0] :
( v1_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v2_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f150]) ).
fof(f301,plain,
! [X0] :
( v3_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v3_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f148]) ).
fof(f300,plain,
! [X0] :
( v2_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v3_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f147]) ).
fof(f299,plain,
! [X0] :
( v1_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v3_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f146]) ).
fof(f174,plain,
! [X0,X1] :
( in(set_difference(cast_as_carrier_subset(X1),sK11(X0,X1)),X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f298,plain,
! [X0] :
( v4_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v4_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f144]) ).
fof(f297,plain,
! [X0] :
( v3_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v4_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f143]) ).
fof(f296,plain,
! [X0] :
( v2_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v4_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f142]) ).
fof(f295,plain,
! [X0] :
( v1_membered(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v4_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f141]) ).
fof(f294,plain,
! [X0] :
( sP1(sK8(X0))
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ v5_membered(the_carrier(X0)) ),
inference(resolution,[],[f153,f139]) ).
fof(f177,plain,
! [X0,X1] :
( sK11(X0,X1) != sK12(X0,X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f175,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| sK10(X0,X1) = sK12(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f173,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| sK10(X0,X1) = sK11(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f293,plain,
! [X0] :
( ~ in(X0,sK6(X0))
| in(set_difference(cast_as_carrier_subset(sK4),sK6(X0)),sK5) ),
inference(resolution,[],[f120,f172]) ).
fof(f292,plain,
! [X0] :
( ~ in(sK5,set_difference(cast_as_carrier_subset(sK4),sK6(X0)))
| in(sK6(X0),X0) ),
inference(resolution,[],[f120,f172]) ).
fof(f291,plain,
! [X0] :
( v1_membered(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| ~ v5_membered(the_carrier(X0)) ),
inference(resolution,[],[f203,f134]) ).
fof(f153,plain,
! [X0] :
( element(sK8(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( element(sK8(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f72,f99]) ).
fof(f99,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
=> element(sK8(X0),powerset(the_carrier(X0))) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1] : element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] : element(X1,powerset(the_carrier(X0))) ),
inference(pure_predicate_removal,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc6_pre_topc) ).
fof(f290,plain,
! [X0] :
( v2_membered(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| ~ v5_membered(the_carrier(X0)) ),
inference(resolution,[],[f203,f135]) ).
fof(f289,plain,
! [X0] :
( v3_membered(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| ~ v5_membered(the_carrier(X0)) ),
inference(resolution,[],[f203,f136]) ).
fof(f288,plain,
! [X0] :
( v4_membered(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| ~ v5_membered(the_carrier(X0)) ),
inference(resolution,[],[f203,f137]) ).
fof(f287,plain,
! [X0] :
( v5_membered(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| ~ v5_membered(the_carrier(X0)) ),
inference(resolution,[],[f203,f138]) ).
fof(f281,plain,
! [X0] :
( v1_membered(cast_as_carrier_subset(X0))
| ~ v1_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f152,f125]) ).
fof(f275,plain,
! [X0] :
( v2_membered(cast_as_carrier_subset(X0))
| ~ v2_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f151,f125]) ).
fof(f270,plain,
! [X0] :
( v1_membered(cast_as_carrier_subset(X0))
| ~ v2_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f150,f125]) ).
fof(f266,plain,
! [X0] :
( v3_membered(cast_as_carrier_subset(X0))
| ~ v3_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f148,f125]) ).
fof(f262,plain,
! [X0] :
( v2_membered(cast_as_carrier_subset(X0))
| ~ v3_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f147,f125]) ).
fof(f256,plain,
! [X0] :
( v1_membered(cast_as_carrier_subset(X0))
| ~ v3_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f146,f125]) ).
fof(f252,plain,
! [X0] :
( v4_membered(cast_as_carrier_subset(X0))
| ~ v4_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f144,f125]) ).
fof(f248,plain,
! [X0] :
( v3_membered(cast_as_carrier_subset(X0))
| ~ v4_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f143,f125]) ).
fof(f244,plain,
! [X0] :
( v2_membered(cast_as_carrier_subset(X0))
| ~ v4_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f142,f125]) ).
fof(f226,plain,
! [X0] :
( v1_membered(cast_as_carrier_subset(X0))
| ~ v4_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f141,f125]) ).
fof(f203,plain,
! [X0] :
( sP1(cast_as_carrier_subset(X0))
| ~ v5_membered(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f139,f125]) ).
fof(f283,plain,
! [X0] :
( v1_membered(sK7(X0))
| ~ v1_membered(X0)
| empty(X0) ),
inference(resolution,[],[f152,f123]) ).
fof(f152,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v1_membered(X1)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( v1_membered(X1)
| ~ element(X1,powerset(X0)) )
| ~ v1_membered(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> v1_membered(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc16_membered) ).
fof(f277,plain,
! [X0] :
( v2_membered(sK7(X0))
| ~ v2_membered(X0)
| empty(X0) ),
inference(resolution,[],[f151,f123]) ).
fof(f272,plain,
! [X0] :
( v1_membered(sK7(X0))
| ~ v2_membered(X0)
| empty(X0) ),
inference(resolution,[],[f150,f123]) ).
fof(f151,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v2_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( v2_membered(X1)
& v1_membered(X1) )
| ~ element(X1,powerset(X0)) )
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> ( v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc17_membered) ).
fof(f150,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v1_membered(X1)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f268,plain,
! [X0] :
( v3_membered(sK7(X0))
| ~ v3_membered(X0)
| empty(X0) ),
inference(resolution,[],[f148,f123]) ).
fof(f148,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v3_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ element(X1,powerset(X0)) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc18_membered) ).
fof(f264,plain,
! [X0] :
( v2_membered(sK7(X0))
| ~ v3_membered(X0)
| empty(X0) ),
inference(resolution,[],[f147,f123]) ).
fof(f147,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v2_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f258,plain,
! [X0] :
( v1_membered(sK7(X0))
| ~ v3_membered(X0)
| empty(X0) ),
inference(resolution,[],[f146,f123]) ).
fof(f146,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v1_membered(X1)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f254,plain,
! [X0] :
( v4_membered(sK7(X0))
| ~ v4_membered(X0)
| empty(X0) ),
inference(resolution,[],[f144,f123]) ).
fof(f144,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v4_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ element(X1,powerset(X0)) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc19_membered) ).
fof(f250,plain,
! [X0] :
( v3_membered(sK7(X0))
| ~ v4_membered(X0)
| empty(X0) ),
inference(resolution,[],[f143,f123]) ).
fof(f143,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v3_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f246,plain,
! [X0] :
( v2_membered(sK7(X0))
| ~ v4_membered(X0)
| empty(X0) ),
inference(resolution,[],[f142,f123]) ).
fof(f142,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v2_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f225,plain,
! [X0] :
( v1_membered(sK7(X0))
| empty(X0)
| ~ v5_membered(X0) ),
inference(resolution,[],[f205,f134]) ).
fof(f228,plain,
! [X0] :
( v1_membered(sK7(X0))
| ~ v4_membered(X0)
| empty(X0) ),
inference(resolution,[],[f141,f123]) ).
fof(f227,plain,
( v1_membered(sK5)
| ~ v4_membered(powerset(the_carrier(sK4))) ),
inference(resolution,[],[f141,f118]) ).
fof(f141,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| v1_membered(X1)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f224,plain,
! [X0] :
( v2_membered(sK7(X0))
| empty(X0)
| ~ v5_membered(X0) ),
inference(resolution,[],[f205,f135]) ).
fof(f223,plain,
! [X0] :
( v3_membered(sK7(X0))
| empty(X0)
| ~ v5_membered(X0) ),
inference(resolution,[],[f205,f136]) ).
fof(f222,plain,
! [X0] :
( v4_membered(sK7(X0))
| empty(X0)
| ~ v5_membered(X0) ),
inference(resolution,[],[f205,f137]) ).
fof(f221,plain,
! [X0] :
( v5_membered(sK7(X0))
| empty(X0)
| ~ v5_membered(X0) ),
inference(resolution,[],[f205,f138]) ).
fof(f205,plain,
! [X0] :
( sP1(sK7(X0))
| ~ v5_membered(X0)
| empty(X0) ),
inference(resolution,[],[f139,f123]) ).
fof(f206,plain,
! [X0] :
( sP1(sK9(X0))
| ~ v5_membered(X0) ),
inference(resolution,[],[f139,f154]) ).
fof(f204,plain,
( sP1(sK5)
| ~ v5_membered(powerset(the_carrier(sK4))) ),
inference(resolution,[],[f139,f118]) ).
fof(f139,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| sP1(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( sP1(X1)
| ~ element(X1,powerset(X0)) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f63,f83]) ).
fof(f83,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ element(X1,powerset(X0)) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc20_membered) ).
fof(f200,plain,
! [X0] :
( ~ in(X0,sK6(X0))
| in(sK6(X0),powerset(the_carrier(sK4))) ),
inference(resolution,[],[f119,f172]) ).
fof(f125,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( one_sorted_str(X0)
=> element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f199,plain,
! [X0] :
( ~ in(powerset(the_carrier(sK4)),sK6(X0))
| in(sK6(X0),X0) ),
inference(resolution,[],[f119,f172]) ).
fof(f202,plain,
~ in(powerset(the_carrier(sK4)),sK6(powerset(the_carrier(sK4)))),
inference(resolution,[],[f201,f172]) ).
fof(f201,plain,
in(sK6(powerset(the_carrier(sK4))),powerset(the_carrier(sK4))),
inference(factoring,[],[f119]) ).
fof(f160,plain,
! [X0,X1] :
( v5_membered(set_difference(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( v5_membered(set_difference(X1,X0))
& v4_membered(set_difference(X1,X0))
& v3_membered(set_difference(X1,X0))
& v2_membered(set_difference(X1,X0))
& v1_membered(set_difference(X1,X0)) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X1,X0] :
( ( v5_membered(set_difference(X0,X1))
& v4_membered(set_difference(X0,X1))
& v3_membered(set_difference(X0,X1))
& v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( ( v5_membered(set_difference(X0,X1))
& v4_membered(set_difference(X0,X1))
& v3_membered(set_difference(X0,X1))
& v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f159,plain,
! [X0,X1] :
( v4_membered(set_difference(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f158,plain,
! [X0,X1] :
( v3_membered(set_difference(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f157,plain,
! [X0,X1] :
( v2_membered(set_difference(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f156,plain,
! [X0,X1] :
( v1_membered(set_difference(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f123,plain,
! [X0] :
( element(sK7(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( ~ empty(sK7(X0))
& element(sK7(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f58,f94]) ).
fof(f94,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK7(X0))
& element(sK7(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f172,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f171,plain,
! [X0,X1] :
( v1_membered(set_difference(X0,X1))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( v1_membered(set_difference(X0,X1))
| ~ v1_membered(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( v1_membered(X0)
=> v1_membered(set_difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc37_membered) ).
fof(f170,plain,
! [X0,X1] :
( v2_membered(set_difference(X0,X1))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) )
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( v2_membered(X0)
=> ( v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc38_membered) ).
fof(f169,plain,
! [X0,X1] :
( v1_membered(set_difference(X0,X1))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f168,plain,
! [X0,X1] :
( v3_membered(set_difference(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( v3_membered(set_difference(X0,X1))
& v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( v3_membered(X0)
=> ( v3_membered(set_difference(X0,X1))
& v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc39_membered) ).
fof(f167,plain,
! [X0,X1] :
( v2_membered(set_difference(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f166,plain,
! [X0,X1] :
( v1_membered(set_difference(X0,X1))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f165,plain,
! [X0,X1] :
( v4_membered(set_difference(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( v4_membered(set_difference(X0,X1))
& v3_membered(set_difference(X0,X1))
& v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( v4_membered(X0)
=> ( v4_membered(set_difference(X0,X1))
& v3_membered(set_difference(X0,X1))
& v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc40_membered) ).
fof(f164,plain,
! [X0,X1] :
( v3_membered(set_difference(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f163,plain,
! [X0,X1] :
( v2_membered(set_difference(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f162,plain,
! [X0,X1] :
( v1_membered(set_difference(X0,X1))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f161,plain,
! [X0,X1] :
( sP2(X1,X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( sP2(X1,X0)
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f73,f85]) ).
fof(f73,plain,
! [X0,X1] :
( ( v5_membered(set_difference(X0,X1))
& v4_membered(set_difference(X0,X1))
& v3_membered(set_difference(X0,X1))
& v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( v5_membered(X0)
=> ( v5_membered(set_difference(X0,X1))
& v4_membered(set_difference(X0,X1))
& v3_membered(set_difference(X0,X1))
& v2_membered(set_difference(X0,X1))
& v1_membered(set_difference(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc41_membered) ).
fof(f154,plain,
! [X0] : element(sK9(X0),powerset(X0)),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( empty(sK9(X0))
& element(sK9(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f26,f101]) ).
fof(f101,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK9(X0))
& element(sK9(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f124,plain,
! [X0] :
( ~ empty(sK7(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f198,plain,
! [X0] : v1_membered(sK9(X0)),
inference(resolution,[],[f193,f155]) ).
fof(f193,plain,
! [X0] :
( ~ empty(X0)
| v1_membered(X0) ),
inference(resolution,[],[f132,f127]) ).
fof(f197,plain,
! [X0] : v2_membered(sK9(X0)),
inference(resolution,[],[f192,f155]) ).
fof(f192,plain,
! [X0] :
( ~ empty(X0)
| v2_membered(X0) ),
inference(resolution,[],[f132,f128]) ).
fof(f196,plain,
! [X0] : v3_membered(sK9(X0)),
inference(resolution,[],[f191,f155]) ).
fof(f191,plain,
! [X0] :
( ~ empty(X0)
| v3_membered(X0) ),
inference(resolution,[],[f132,f129]) ).
fof(f195,plain,
! [X0] : v4_membered(sK9(X0)),
inference(resolution,[],[f190,f155]) ).
fof(f190,plain,
! [X0] :
( ~ empty(X0)
| v4_membered(X0) ),
inference(resolution,[],[f132,f130]) ).
fof(f194,plain,
! [X0] : v5_membered(sK9(X0)),
inference(resolution,[],[f189,f155]) ).
fof(f189,plain,
! [X0] :
( ~ empty(X0)
| v5_membered(X0) ),
inference(resolution,[],[f132,f131]) ).
fof(f149,plain,
! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( v2_membered(X0)
=> v1_membered(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_membered) ).
fof(f145,plain,
! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v3_membered(X0)
=> v2_membered(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_membered) ).
fof(f140,plain,
! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( v4_membered(X0)
=> v3_membered(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_membered) ).
fof(f138,plain,
! [X0] :
( ~ sP1(X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP1(X0) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP1(X1) ),
inference(nnf_transformation,[],[f83]) ).
fof(f137,plain,
! [X0] :
( ~ sP1(X0)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f136,plain,
! [X0] :
( ~ sP1(X0)
| v3_membered(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f135,plain,
! [X0] :
( ~ sP1(X0)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f134,plain,
! [X0] :
( ~ sP1(X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f133,plain,
! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( v5_membered(X0)
=> v4_membered(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_membered) ).
fof(f132,plain,
! [X0] :
( sP0(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( sP0(X0)
| ~ empty(X0) ),
inference(definition_folding,[],[f61,f81]) ).
fof(f81,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f61,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( empty(X0)
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc15_membered) ).
fof(f131,plain,
! [X0] :
( ~ sP0(X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f130,plain,
! [X0] :
( ~ sP0(X0)
| v4_membered(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f129,plain,
! [X0] :
( ~ sP0(X0)
| v3_membered(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f128,plain,
! [X0] :
( ~ sP0(X0)
| v2_membered(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f127,plain,
! [X0] :
( ~ sP0(X0)
| v1_membered(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f126,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f155,plain,
! [X0] : empty(sK9(X0)),
inference(cnf_transformation,[],[f102]) ).
fof(f122,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(f187,plain,
v5_membered(sK15),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( v5_membered(sK15)
& v4_membered(sK15)
& v3_membered(sK15)
& v2_membered(sK15)
& v1_membered(sK15)
& ~ empty(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f7,f114]) ).
fof(f114,plain,
( ? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ empty(X0) )
=> ( v5_membered(sK15)
& v4_membered(sK15)
& v3_membered(sK15)
& v2_membered(sK15)
& v1_membered(sK15)
& ~ empty(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f7,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_membered) ).
fof(f186,plain,
v4_membered(sK15),
inference(cnf_transformation,[],[f115]) ).
fof(f185,plain,
v3_membered(sK15),
inference(cnf_transformation,[],[f115]) ).
fof(f184,plain,
v2_membered(sK15),
inference(cnf_transformation,[],[f115]) ).
fof(f183,plain,
v1_membered(sK15),
inference(cnf_transformation,[],[f115]) ).
fof(f182,plain,
~ empty(sK15),
inference(cnf_transformation,[],[f115]) ).
fof(f326,plain,
( spl16_5
| spl16_6 ),
inference(avatar_split_clause,[],[f317,f324,f320]) ).
fof(f238,plain,
( ~ spl16_3
| spl16_4 ),
inference(avatar_split_clause,[],[f227,f235,f231]) ).
fof(f231,plain,
( spl16_3
<=> v4_membered(powerset(the_carrier(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f235,plain,
( spl16_4
<=> v1_membered(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f215,plain,
( ~ spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f204,f212,f208]) ).
fof(f208,plain,
( spl16_1
<=> v5_membered(powerset(the_carrier(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f212,plain,
( spl16_2
<=> sP1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Mon Apr 29 20:22:50 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.28 % (23830)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.29 % (23837)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.29 % (23835)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.29 % (23834)WARNING: value z3 for option sas not known
% 0.13/0.30 % (23834)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.30 % (23836)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.30 % (23832)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.30 % (23833)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.30 % (23838)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.30 TRYING [1]
% 0.13/0.30 TRYING [2]
% 0.13/0.31 TRYING [3]
% 0.13/0.31 % (23834)First to succeed.
% 0.13/0.31 % (23834)Refutation found. Thanks to Tanya!
% 0.13/0.31 % SZS status Theorem for theBenchmark
% 0.13/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.31 % (23834)------------------------------
% 0.13/0.31 % (23834)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.31 % (23834)Termination reason: Refutation
% 0.13/0.31
% 0.13/0.31 % (23834)Memory used [KB]: 1026
% 0.13/0.31 % (23834)Time elapsed: 0.017 s
% 0.13/0.31 % (23834)Instructions burned: 29 (million)
% 0.13/0.31 % (23834)------------------------------
% 0.13/0.31 % (23834)------------------------------
% 0.13/0.31 % (23830)Success in time 0.031 s
%------------------------------------------------------------------------------