TSTP Solution File: SEU315+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU315+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n019.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 : Thu Aug 31 17:57:52 EDT 2023
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 18
% Syntax : Number of formulae : 148 ( 15 unt; 0 def)
% Number of atoms : 739 ( 47 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 994 ( 403 ~; 413 |; 150 &)
% ( 11 <=>; 15 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 283 (; 231 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1264,plain,
$false,
inference(avatar_sat_refutation,[],[f685,f709,f1263]) ).
fof(f1263,plain,
( ~ spl17_33
| ~ spl17_34 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1262,plain,
( $false
| ~ spl17_33
| ~ spl17_34 ),
inference(subsumption_resolution,[],[f1256,f719]) ).
fof(f719,plain,
( element(sK2(sK8(sK0,sK1)),sF15)
| ~ spl17_34 ),
inference(subsumption_resolution,[],[f712,f189]) ).
fof(f189,plain,
element(sK1,sF15),
inference(definition_folding,[],[f113,f181,f180]) ).
fof(f180,plain,
the_carrier(sK0) = sF14,
introduced(function_definition,[]) ).
fof(f181,plain,
powerset(sF14) = sF15,
introduced(function_definition,[]) ).
fof(f113,plain,
element(sK1,powerset(the_carrier(sK0))),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ! [X2] :
( ( ( ! [X4] :
( ~ subset(sK1,sK2(X2))
| ~ closed_subset(X4,sK0)
| sK2(X2) != X4
| ~ element(X4,powerset(the_carrier(sK0))) )
| ~ in(sK2(X2),X2) )
& ( ( subset(sK1,sK2(X2))
& closed_subset(sK3(X2),sK0)
& sK2(X2) = sK3(X2)
& element(sK3(X2),powerset(the_carrier(sK0))) )
| in(sK2(X2),X2) )
& element(sK2(X2),powerset(the_carrier(sK0))) )
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) )
& element(sK1,powerset(the_carrier(sK0)))
& top_str(sK0)
& topological_space(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f83,f86,f85,f84]) ).
fof(f84,plain,
( ? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,X2) )
& ( ? [X5] :
( subset(X1,X3)
& closed_subset(X5,X0)
& X3 = X5
& element(X5,powerset(the_carrier(X0))) )
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ subset(sK1,X3)
| ~ closed_subset(X4,sK0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(sK0))) )
| ~ in(X3,X2) )
& ( ? [X5] :
( subset(sK1,X3)
& closed_subset(X5,sK0)
& X3 = X5
& element(X5,powerset(the_carrier(sK0))) )
| in(X3,X2) )
& element(X3,powerset(the_carrier(sK0))) )
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) )
& element(sK1,powerset(the_carrier(sK0)))
& top_str(sK0)
& topological_space(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ subset(sK1,X3)
| ~ closed_subset(X4,sK0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(sK0))) )
| ~ in(X3,X2) )
& ( ? [X5] :
( subset(sK1,X3)
& closed_subset(X5,sK0)
& X3 = X5
& element(X5,powerset(the_carrier(sK0))) )
| in(X3,X2) )
& element(X3,powerset(the_carrier(sK0))) )
=> ( ( ! [X4] :
( ~ subset(sK1,sK2(X2))
| ~ closed_subset(X4,sK0)
| sK2(X2) != X4
| ~ element(X4,powerset(the_carrier(sK0))) )
| ~ in(sK2(X2),X2) )
& ( ? [X5] :
( subset(sK1,sK2(X2))
& closed_subset(X5,sK0)
& sK2(X2) = X5
& element(X5,powerset(the_carrier(sK0))) )
| in(sK2(X2),X2) )
& element(sK2(X2),powerset(the_carrier(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X2] :
( ? [X5] :
( subset(sK1,sK2(X2))
& closed_subset(X5,sK0)
& sK2(X2) = X5
& element(X5,powerset(the_carrier(sK0))) )
=> ( subset(sK1,sK2(X2))
& closed_subset(sK3(X2),sK0)
& sK2(X2) = sK3(X2)
& element(sK3(X2),powerset(the_carrier(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,X2) )
& ( ? [X5] :
( subset(X1,X3)
& closed_subset(X5,X0)
& X3 = X5
& element(X5,powerset(the_carrier(X0))) )
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,X2) )
& ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,X2) )
& ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
| in(X3,X2) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( in(X3,X2)
<~> ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) ) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
? [X0,X1] :
( ! [X2] :
( ? [X3] :
( ( in(X3,X2)
<~> ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) ) )
& element(X3,powerset(the_carrier(X0))) )
| ~ element(X2,powerset(powerset(the_carrier(X0)))) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
( ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(X3,X2)
<=> ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) ) ) )
& element(X2,powerset(powerset(the_carrier(X0)))) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
( ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(X3,X2)
<=> ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) ) ) )
& element(X2,powerset(powerset(the_carrier(X0)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943',s3_subset_1__e1_40__pre_topc) ).
fof(f712,plain,
( element(sK2(sK8(sK0,sK1)),sF15)
| ~ element(sK1,sF15)
| ~ spl17_34 ),
inference(resolution,[],[f684,f559]) ).
fof(f559,plain,
! [X0,X1] :
( ~ in(X1,sK8(sK0,X0))
| element(X1,sF15)
| ~ element(X0,sF15) ),
inference(duplicate_literal_removal,[],[f558]) ).
fof(f558,plain,
! [X0,X1] :
( ~ element(X0,sF15)
| element(X1,sF15)
| ~ element(X0,sF15)
| ~ in(X1,sK8(sK0,X0)) ),
inference(forward_demodulation,[],[f557,f181]) ).
fof(f557,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF14))
| element(X1,sF15)
| ~ element(X0,sF15)
| ~ in(X1,sK8(sK0,X0)) ),
inference(forward_demodulation,[],[f556,f180]) ).
fof(f556,plain,
! [X0,X1] :
( element(X1,sF15)
| ~ element(X0,sF15)
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,powerset(the_carrier(sK0))) ),
inference(subsumption_resolution,[],[f555,f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ in(X1,X0)
| element(X1,X0) ),
inference(subsumption_resolution,[],[f156,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943',t7_boole) ).
fof(f156,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( ( ( element(X1,X0)
| ~ empty(X1) )
& ( empty(X1)
| ~ element(X1,X0) ) )
| ~ empty(X0) )
& ( ( ( element(X1,X0)
| ~ in(X1,X0) )
& ( in(X1,X0)
| ~ element(X1,X0) ) )
| empty(X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ( element(X1,X0)
<=> empty(X1) )
| ~ empty(X0) )
& ( ( element(X1,X0)
<=> in(X1,X0) )
| empty(X0) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) )
& ( ~ empty(X0)
=> ( element(X1,X0)
<=> in(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943',d2_subset_1) ).
fof(f555,plain,
! [X0,X1] :
( element(X1,sF15)
| ~ element(X0,sF15)
| ~ element(X1,sK8(sK0,X0))
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,powerset(the_carrier(sK0))) ),
inference(subsumption_resolution,[],[f554,f169]) ).
fof(f554,plain,
! [X0,X1] :
( element(X1,sF15)
| ~ element(X0,sF15)
| ~ element(X1,sK8(sK0,X0))
| empty(sK8(sK0,X0))
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,powerset(the_carrier(sK0))) ),
inference(subsumption_resolution,[],[f553,f111]) ).
fof(f111,plain,
topological_space(sK0),
inference(cnf_transformation,[],[f87]) ).
fof(f553,plain,
! [X0,X1] :
( element(X1,sF15)
| ~ element(X0,sF15)
| ~ element(X1,sK8(sK0,X0))
| empty(sK8(sK0,X0))
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,powerset(the_carrier(sK0)))
| ~ topological_space(sK0) ),
inference(subsumption_resolution,[],[f552,f112]) ).
fof(f112,plain,
top_str(sK0),
inference(cnf_transformation,[],[f87]) ).
fof(f552,plain,
! [X0,X1] :
( element(X1,sF15)
| ~ element(X0,sF15)
| ~ element(X1,sK8(sK0,X0))
| empty(sK8(sK0,X0))
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,powerset(the_carrier(sK0)))
| ~ top_str(sK0)
| ~ topological_space(sK0) ),
inference(superposition,[],[f449,f162]) ).
fof(f162,plain,
! [X3,X0,X1] :
( sK9(X0,X1,X3) = X3
| ~ in(X3,sK8(X0,X1))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK8(X0,X1))
| ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( subset(X1,X3)
& closed_subset(sK9(X0,X1,X3),X0)
& sK9(X0,X1,X3) = X3
& element(sK9(X0,X1,X3),powerset(the_carrier(X0)))
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,sK8(X0,X1)) ) )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f99,f101,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( ? [X5] :
( subset(X1,X3)
& closed_subset(X5,X0)
& X3 = X5
& element(X5,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK8(X0,X1))
| ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( ? [X5] :
( subset(X1,X3)
& closed_subset(X5,X0)
& X3 = X5
& element(X5,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,sK8(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1,X3] :
( ? [X5] :
( subset(X1,X3)
& closed_subset(X5,X0)
& X3 = X5
& element(X5,powerset(the_carrier(X0))) )
=> ( subset(X1,X3)
& closed_subset(sK9(X0,X1,X3),X0)
& sK9(X0,X1,X3) = X3
& element(sK9(X0,X1,X3),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( ? [X5] :
( subset(X1,X3)
& closed_subset(X5,X0)
& X3 = X5
& element(X5,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0))) )
& ( ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943',s1_xboole_0__e1_40__pre_topc__1) ).
fof(f449,plain,
! [X0,X1] :
( element(sK9(sK0,X0,X1),sF15)
| ~ element(X0,sF15)
| ~ element(X1,sK8(sK0,X0))
| empty(sK8(sK0,X0)) ),
inference(resolution,[],[f399,f155]) ).
fof(f155,plain,
! [X0,X1] :
( in(X1,X0)
| ~ element(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f399,plain,
! [X0,X1] :
( ~ in(X0,sK8(sK0,X1))
| ~ element(X1,sF15)
| element(sK9(sK0,X1,X0),sF15) ),
inference(forward_demodulation,[],[f398,f181]) ).
fof(f398,plain,
! [X0,X1] :
( element(sK9(sK0,X1,X0),powerset(sF14))
| ~ element(X1,sF15)
| ~ in(X0,sK8(sK0,X1)) ),
inference(forward_demodulation,[],[f397,f180]) ).
fof(f397,plain,
! [X0,X1] :
( ~ element(X1,sF15)
| ~ in(X0,sK8(sK0,X1))
| element(sK9(sK0,X1,X0),powerset(the_carrier(sK0))) ),
inference(forward_demodulation,[],[f396,f181]) ).
fof(f396,plain,
! [X0,X1] :
( ~ element(X1,powerset(sF14))
| ~ in(X0,sK8(sK0,X1))
| element(sK9(sK0,X1,X0),powerset(the_carrier(sK0))) ),
inference(forward_demodulation,[],[f395,f180]) ).
fof(f395,plain,
! [X0,X1] :
( ~ in(X0,sK8(sK0,X1))
| ~ element(X1,powerset(the_carrier(sK0)))
| element(sK9(sK0,X1,X0),powerset(the_carrier(sK0))) ),
inference(subsumption_resolution,[],[f394,f111]) ).
fof(f394,plain,
! [X0,X1] :
( ~ in(X0,sK8(sK0,X1))
| ~ element(X1,powerset(the_carrier(sK0)))
| element(sK9(sK0,X1,X0),powerset(the_carrier(sK0)))
| ~ topological_space(sK0) ),
inference(resolution,[],[f161,f112]) ).
fof(f161,plain,
! [X3,X0,X1] :
( ~ top_str(X0)
| ~ in(X3,sK8(X0,X1))
| ~ element(X1,powerset(the_carrier(X0)))
| element(sK9(X0,X1,X3),powerset(the_carrier(X0)))
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f684,plain,
( in(sK2(sK8(sK0,sK1)),sK8(sK0,sK1))
| ~ spl17_34 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f682,plain,
( spl17_34
<=> in(sK2(sK8(sK0,sK1)),sK8(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_34])]) ).
fof(f1256,plain,
( ~ element(sK2(sK8(sK0,sK1)),sF15)
| ~ spl17_33
| ~ spl17_34 ),
inference(resolution,[],[f1224,f842]) ).
fof(f842,plain,
( in(sK2(sK8(sK0,sK1)),sK8(sK0,sK2(sK8(sK0,sK1))))
| ~ spl17_34 ),
inference(subsumption_resolution,[],[f839,f189]) ).
fof(f839,plain,
( ~ element(sK1,sF15)
| in(sK2(sK8(sK0,sK1)),sK8(sK0,sK2(sK8(sK0,sK1))))
| ~ spl17_34 ),
inference(resolution,[],[f832,f684]) ).
fof(f832,plain,
! [X0,X1] :
( ~ in(X0,sK8(sK0,X1))
| ~ element(X1,sF15)
| in(X0,sK8(sK0,X0)) ),
inference(subsumption_resolution,[],[f474,f559]) ).
fof(f474,plain,
! [X0,X1] :
( in(X0,sK8(sK0,X0))
| ~ element(X0,sF15)
| ~ element(X1,sF15)
| ~ in(X0,sK8(sK0,X1)) ),
inference(resolution,[],[f473,f435]) ).
fof(f435,plain,
! [X0,X1] :
( closed_subset(X1,sK0)
| ~ element(X0,sF15)
| ~ in(X1,sK8(sK0,X0)) ),
inference(duplicate_literal_removal,[],[f434]) ).
fof(f434,plain,
! [X0,X1] :
( ~ element(X0,sF15)
| closed_subset(X1,sK0)
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,sF15) ),
inference(forward_demodulation,[],[f433,f181]) ).
fof(f433,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF14))
| closed_subset(X1,sK0)
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,sF15) ),
inference(forward_demodulation,[],[f432,f180]) ).
fof(f432,plain,
! [X0,X1] :
( closed_subset(X1,sK0)
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,sF15)
| ~ element(X0,powerset(the_carrier(sK0))) ),
inference(subsumption_resolution,[],[f431,f111]) ).
fof(f431,plain,
! [X0,X1] :
( closed_subset(X1,sK0)
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,sF15)
| ~ element(X0,powerset(the_carrier(sK0)))
| ~ topological_space(sK0) ),
inference(subsumption_resolution,[],[f430,f112]) ).
fof(f430,plain,
! [X0,X1] :
( closed_subset(X1,sK0)
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,sF15)
| ~ element(X0,powerset(the_carrier(sK0)))
| ~ top_str(sK0)
| ~ topological_space(sK0) ),
inference(duplicate_literal_removal,[],[f429]) ).
fof(f429,plain,
! [X0,X1] :
( closed_subset(X1,sK0)
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,sF15)
| ~ in(X1,sK8(sK0,X0))
| ~ element(X0,powerset(the_carrier(sK0)))
| ~ top_str(sK0)
| ~ topological_space(sK0) ),
inference(superposition,[],[f384,f162]) ).
fof(f384,plain,
! [X0,X1] :
( closed_subset(sK9(sK0,X1,X0),sK0)
| ~ in(X0,sK8(sK0,X1))
| ~ element(X1,sF15) ),
inference(forward_demodulation,[],[f383,f181]) ).
fof(f383,plain,
! [X0,X1] :
( ~ element(X1,powerset(sF14))
| ~ in(X0,sK8(sK0,X1))
| closed_subset(sK9(sK0,X1,X0),sK0) ),
inference(forward_demodulation,[],[f382,f180]) ).
fof(f382,plain,
! [X0,X1] :
( ~ in(X0,sK8(sK0,X1))
| ~ element(X1,powerset(the_carrier(sK0)))
| closed_subset(sK9(sK0,X1,X0),sK0) ),
inference(subsumption_resolution,[],[f381,f111]) ).
fof(f381,plain,
! [X0,X1] :
( ~ in(X0,sK8(sK0,X1))
| ~ element(X1,powerset(the_carrier(sK0)))
| closed_subset(sK9(sK0,X1,X0),sK0)
| ~ topological_space(sK0) ),
inference(resolution,[],[f163,f112]) ).
fof(f163,plain,
! [X3,X0,X1] :
( ~ top_str(X0)
| ~ in(X3,sK8(X0,X1))
| ~ element(X1,powerset(the_carrier(X0)))
| closed_subset(sK9(X0,X1,X3),X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f473,plain,
! [X0] :
( ~ closed_subset(X0,sK0)
| in(X0,sK8(sK0,X0))
| ~ element(X0,sF15) ),
inference(subsumption_resolution,[],[f469,f190]) ).
fof(f190,plain,
~ empty(sF15),
inference(superposition,[],[f121,f181]) ).
fof(f121,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943',fc1_subset_1) ).
fof(f469,plain,
! [X0] :
( ~ closed_subset(X0,sK0)
| in(X0,sK8(sK0,X0))
| ~ element(X0,sF15)
| empty(sF15) ),
inference(resolution,[],[f466,f155]) ).
fof(f466,plain,
! [X0] :
( ~ in(X0,sF15)
| ~ closed_subset(X0,sK0)
| in(X0,sK8(sK0,X0)) ),
inference(subsumption_resolution,[],[f463,f225]) ).
fof(f463,plain,
! [X0] :
( ~ in(X0,sF15)
| ~ element(X0,sF15)
| ~ closed_subset(X0,sK0)
| in(X0,sK8(sK0,X0)) ),
inference(resolution,[],[f415,f154]) ).
fof(f154,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943',reflexivity_r1_tarski) ).
fof(f415,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ in(X1,sF15)
| ~ element(X0,sF15)
| ~ closed_subset(X1,sK0)
| in(X1,sK8(sK0,X0)) ),
inference(forward_demodulation,[],[f414,f181]) ).
fof(f414,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF14))
| ~ in(X1,sF15)
| ~ subset(X0,X1)
| ~ closed_subset(X1,sK0)
| in(X1,sK8(sK0,X0)) ),
inference(forward_demodulation,[],[f413,f180]) ).
fof(f413,plain,
! [X0,X1] :
( ~ in(X1,sF15)
| ~ subset(X0,X1)
| ~ closed_subset(X1,sK0)
| ~ element(X0,powerset(the_carrier(sK0)))
| in(X1,sK8(sK0,X0)) ),
inference(forward_demodulation,[],[f412,f181]) ).
fof(f412,plain,
! [X0,X1] :
( ~ in(X1,powerset(sF14))
| ~ subset(X0,X1)
| ~ closed_subset(X1,sK0)
| ~ element(X0,powerset(the_carrier(sK0)))
| in(X1,sK8(sK0,X0)) ),
inference(forward_demodulation,[],[f411,f180]) ).
fof(f411,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ closed_subset(X1,sK0)
| ~ in(X1,powerset(the_carrier(sK0)))
| ~ element(X0,powerset(the_carrier(sK0)))
| in(X1,sK8(sK0,X0)) ),
inference(subsumption_resolution,[],[f410,f111]) ).
fof(f410,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ closed_subset(X1,sK0)
| ~ in(X1,powerset(the_carrier(sK0)))
| ~ element(X0,powerset(the_carrier(sK0)))
| in(X1,sK8(sK0,X0))
| ~ topological_space(sK0) ),
inference(resolution,[],[f409,f112]) ).
fof(f409,plain,
! [X0,X1,X4] :
( ~ top_str(X0)
| ~ subset(X1,X4)
| ~ closed_subset(X4,X0)
| ~ in(X4,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| in(X4,sK8(X0,X1))
| ~ topological_space(X0) ),
inference(subsumption_resolution,[],[f179,f225]) ).
fof(f179,plain,
! [X0,X1,X4] :
( in(X4,sK8(X0,X1))
| ~ subset(X1,X4)
| ~ closed_subset(X4,X0)
| ~ element(X4,powerset(the_carrier(X0)))
| ~ in(X4,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(equality_resolution,[],[f165]) ).
fof(f165,plain,
! [X3,X0,X1,X4] :
( in(X3,sK8(X0,X1))
| ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0)))
| ~ in(X3,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f1224,plain,
( ! [X3] :
( ~ in(sK2(sK8(sK0,sK1)),sK8(sK0,X3))
| ~ element(X3,sF15) )
| ~ spl17_33
| ~ spl17_34 ),
inference(subsumption_resolution,[],[f1223,f679]) ).
fof(f679,plain,
( element(sK8(sK0,sK1),sF16)
| ~ spl17_33 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f678,plain,
( spl17_33
<=> element(sK8(sK0,sK1),sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
fof(f1223,plain,
( ! [X3] :
( ~ element(sK8(sK0,sK1),sF16)
| ~ element(X3,sF15)
| ~ in(sK2(sK8(sK0,sK1)),sK8(sK0,X3)) )
| ~ spl17_34 ),
inference(subsumption_resolution,[],[f1220,f684]) ).
fof(f1220,plain,
( ! [X3] :
( ~ in(sK2(sK8(sK0,sK1)),sK8(sK0,sK1))
| ~ element(sK8(sK0,sK1),sF16)
| ~ element(X3,sF15)
| ~ in(sK2(sK8(sK0,sK1)),sK8(sK0,X3)) )
| ~ spl17_34 ),
inference(resolution,[],[f1007,f684]) ).
fof(f1007,plain,
! [X0,X1] :
( ~ in(sK2(X1),sK8(sK0,sK1))
| ~ in(sK2(X1),X1)
| ~ element(X1,sF16)
| ~ element(X0,sF15)
| ~ in(sK2(X1),sK8(sK0,X0)) ),
inference(subsumption_resolution,[],[f1006,f189]) ).
fof(f1006,plain,
! [X0,X1] :
( ~ element(sK1,sF15)
| ~ element(X0,sF15)
| ~ in(sK2(X1),X1)
| ~ element(X1,sF16)
| ~ in(sK2(X1),sK8(sK0,sK1))
| ~ in(sK2(X1),sK8(sK0,X0)) ),
inference(forward_demodulation,[],[f1005,f181]) ).
fof(f1005,plain,
! [X0,X1] :
( ~ element(sK1,powerset(sF14))
| ~ element(X0,sF15)
| ~ in(sK2(X1),X1)
| ~ element(X1,sF16)
| ~ in(sK2(X1),sK8(sK0,sK1))
| ~ in(sK2(X1),sK8(sK0,X0)) ),
inference(forward_demodulation,[],[f1004,f180]) ).
fof(f1004,plain,
! [X0,X1] :
( ~ element(X0,sF15)
| ~ in(sK2(X1),X1)
| ~ element(X1,sF16)
| ~ in(sK2(X1),sK8(sK0,sK1))
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ in(sK2(X1),sK8(sK0,X0)) ),
inference(subsumption_resolution,[],[f1003,f111]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ element(X0,sF15)
| ~ in(sK2(X1),X1)
| ~ element(X1,sF16)
| ~ in(sK2(X1),sK8(sK0,sK1))
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ in(sK2(X1),sK8(sK0,X0))
| ~ topological_space(sK0) ),
inference(resolution,[],[f702,f112]) ).
fof(f702,plain,
! [X2,X3,X4] :
( ~ top_str(X4)
| ~ element(X3,sF15)
| ~ in(sK2(X2),X2)
| ~ element(X2,sF16)
| ~ in(sK2(X2),sK8(X4,sK1))
| ~ element(sK1,powerset(the_carrier(X4)))
| ~ in(sK2(X2),sK8(sK0,X3))
| ~ topological_space(X4) ),
inference(resolution,[],[f436,f164]) ).
fof(f164,plain,
! [X3,X0,X1] :
( subset(X1,X3)
| ~ in(X3,sK8(X0,X1))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f436,plain,
! [X0,X1] :
( ~ subset(sK1,sK2(X1))
| ~ in(sK2(X1),sK8(sK0,X0))
| ~ element(X0,sF15)
| ~ in(sK2(X1),X1)
| ~ element(X1,sF16) ),
inference(resolution,[],[f435,f341]) ).
fof(f341,plain,
! [X2] :
( ~ closed_subset(sK2(X2),sK0)
| ~ subset(sK1,sK2(X2))
| ~ in(sK2(X2),X2)
| ~ element(X2,sF16) ),
inference(subsumption_resolution,[],[f183,f188]) ).
fof(f188,plain,
! [X2] :
( element(sK2(X2),sF15)
| ~ element(X2,sF16) ),
inference(definition_folding,[],[f114,f182,f181,f180,f181,f180]) ).
fof(f182,plain,
powerset(sF15) = sF16,
introduced(function_definition,[]) ).
fof(f114,plain,
! [X2] :
( element(sK2(X2),powerset(the_carrier(sK0)))
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f183,plain,
! [X2] :
( ~ subset(sK1,sK2(X2))
| ~ closed_subset(sK2(X2),sK0)
| ~ element(sK2(X2),sF15)
| ~ in(sK2(X2),X2)
| ~ element(X2,sF16) ),
inference(definition_folding,[],[f178,f182,f181,f180,f181,f180]) ).
fof(f178,plain,
! [X2] :
( ~ subset(sK1,sK2(X2))
| ~ closed_subset(sK2(X2),sK0)
| ~ element(sK2(X2),powerset(the_carrier(sK0)))
| ~ in(sK2(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
inference(equality_resolution,[],[f119]) ).
fof(f119,plain,
! [X2,X4] :
( ~ subset(sK1,sK2(X2))
| ~ closed_subset(X4,sK0)
| sK2(X2) != X4
| ~ element(X4,powerset(the_carrier(sK0)))
| ~ in(sK2(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f709,plain,
spl17_33,
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f708,plain,
( $false
| spl17_33 ),
inference(subsumption_resolution,[],[f707,f680]) ).
fof(f680,plain,
( ~ element(sK8(sK0,sK1),sF16)
| spl17_33 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f707,plain,
( element(sK8(sK0,sK1),sF16)
| spl17_33 ),
inference(forward_demodulation,[],[f706,f182]) ).
fof(f706,plain,
( element(sK8(sK0,sK1),powerset(sF15))
| spl17_33 ),
inference(subsumption_resolution,[],[f704,f190]) ).
fof(f704,plain,
( element(sK8(sK0,sK1),powerset(sF15))
| empty(sF15)
| spl17_33 ),
inference(resolution,[],[f698,f261]) ).
fof(f261,plain,
! [X0,X1] :
( ~ element(sK10(X0,X1),X1)
| element(X0,powerset(X1))
| empty(X1) ),
inference(resolution,[],[f167,f155]) ).
fof(f167,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f78,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943',l71_subset_1) ).
fof(f698,plain,
( element(sK10(sK8(sK0,sK1),sF15),sF15)
| spl17_33 ),
inference(subsumption_resolution,[],[f691,f189]) ).
fof(f691,plain,
( element(sK10(sK8(sK0,sK1),sF15),sF15)
| ~ element(sK1,sF15)
| spl17_33 ),
inference(resolution,[],[f686,f559]) ).
fof(f686,plain,
( in(sK10(sK8(sK0,sK1),sF15),sK8(sK0,sK1))
| spl17_33 ),
inference(resolution,[],[f680,f242]) ).
fof(f242,plain,
! [X1] :
( element(X1,sF16)
| in(sK10(X1,sF15),X1) ),
inference(superposition,[],[f166,f182]) ).
fof(f166,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| in(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f685,plain,
( ~ spl17_33
| spl17_34 ),
inference(avatar_split_clause,[],[f594,f682,f678]) ).
fof(f594,plain,
( in(sK2(sK8(sK0,sK1)),sK8(sK0,sK1))
| ~ element(sK8(sK0,sK1),sF16) ),
inference(factoring,[],[f541]) ).
fof(f541,plain,
! [X0] :
( in(sK2(X0),sK8(sK0,sK1))
| in(sK2(X0),X0)
| ~ element(X0,sF16) ),
inference(subsumption_resolution,[],[f540,f188]) ).
fof(f540,plain,
! [X0] :
( in(sK2(X0),sK8(sK0,sK1))
| in(sK2(X0),X0)
| ~ element(X0,sF16)
| ~ element(sK2(X0),sF15) ),
inference(subsumption_resolution,[],[f539,f190]) ).
fof(f539,plain,
! [X0] :
( in(sK2(X0),sK8(sK0,sK1))
| in(sK2(X0),X0)
| ~ element(X0,sF16)
| ~ element(sK2(X0),sF15)
| empty(sF15) ),
inference(resolution,[],[f468,f155]) ).
fof(f468,plain,
! [X4] :
( ~ in(sK2(X4),sF15)
| in(sK2(X4),sK8(sK0,sK1))
| in(sK2(X4),X4)
| ~ element(X4,sF16) ),
inference(subsumption_resolution,[],[f467,f317]) ).
fof(f317,plain,
! [X1] :
( closed_subset(sK2(X1),sK0)
| in(sK2(X1),X1)
| ~ element(X1,sF16) ),
inference(duplicate_literal_removal,[],[f316]) ).
fof(f316,plain,
! [X1] :
( closed_subset(sK2(X1),sK0)
| in(sK2(X1),X1)
| ~ element(X1,sF16)
| in(sK2(X1),X1)
| ~ element(X1,sF16) ),
inference(superposition,[],[f185,f186]) ).
fof(f186,plain,
! [X2] :
( sK2(X2) = sK3(X2)
| in(sK2(X2),X2)
| ~ element(X2,sF16) ),
inference(definition_folding,[],[f116,f182,f181,f180]) ).
fof(f116,plain,
! [X2] :
( sK2(X2) = sK3(X2)
| in(sK2(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f185,plain,
! [X2] :
( closed_subset(sK3(X2),sK0)
| in(sK2(X2),X2)
| ~ element(X2,sF16) ),
inference(definition_folding,[],[f117,f182,f181,f180]) ).
fof(f117,plain,
! [X2] :
( closed_subset(sK3(X2),sK0)
| in(sK2(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f467,plain,
! [X4] :
( ~ in(sK2(X4),sF15)
| ~ closed_subset(sK2(X4),sK0)
| in(sK2(X4),sK8(sK0,sK1))
| in(sK2(X4),X4)
| ~ element(X4,sF16) ),
inference(subsumption_resolution,[],[f465,f189]) ).
fof(f465,plain,
! [X4] :
( ~ in(sK2(X4),sF15)
| ~ element(sK1,sF15)
| ~ closed_subset(sK2(X4),sK0)
| in(sK2(X4),sK8(sK0,sK1))
| in(sK2(X4),X4)
| ~ element(X4,sF16) ),
inference(resolution,[],[f415,f184]) ).
fof(f184,plain,
! [X2] :
( subset(sK1,sK2(X2))
| in(sK2(X2),X2)
| ~ element(X2,sF16) ),
inference(definition_folding,[],[f118,f182,f181,f180]) ).
fof(f118,plain,
! [X2] :
( subset(sK1,sK2(X2))
| in(sK2(X2),X2)
| ~ element(X2,powerset(powerset(the_carrier(sK0)))) ),
inference(cnf_transformation,[],[f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU315+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 14:47:28 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.19/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943
% 0.19/0.35 % (11085)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (11090)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.19/0.41 % (11097)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.19/0.41 % (11086)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.19/0.41 % (11098)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.19/0.41 % (11096)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.19/0.41 % (11100)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.19/0.43 % (11093)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.19/0.45 % (11098)First to succeed.
% 0.19/0.45 % (11098)Refutation found. Thanks to Tanya!
% 0.19/0.45 % SZS status Theorem for Vampire---4
% 0.19/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.46 % (11098)------------------------------
% 0.19/0.46 % (11098)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.46 % (11098)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.46 % (11098)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (11098)Memory used [KB]: 6268
% 0.19/0.46 % (11098)Time elapsed: 0.046 s
% 0.19/0.46 % (11098)------------------------------
% 0.19/0.46 % (11098)------------------------------
% 0.19/0.46 % (11085)Success in time 0.105 s
% 0.19/0.46 11086 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943
% 0.19/0.46 % (11086)------------------------------
% 0.19/0.46 % (11086)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.46 11093 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943
% 0.19/0.46 % (11093)------------------------------
% 0.19/0.46 % (11093)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.46 11090 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.nCQJnuxnsL/Vampire---4.8_10943
% 0.19/0.46 % (11090)------------------------------
% 0.19/0.46 % (11090)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.46 % (11086)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.46 % (11090)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.46 % (11093)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.46 % (11086)Termination reason: Unknown
% 0.19/0.46 % (11090)Termination reason: Unknown
% 0.19/0.46 % (11093)Termination reason: Unknown
% 0.19/0.46 % (11086)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (11090)Termination phase: Saturation
% 0.19/0.46 % (11093)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 % (11086)Memory used [KB]: 5628
% 0.19/0.46 % (11086)Time elapsed: 0.050 s
% 0.19/0.46 % (11093)Memory used [KB]: 1023
% 0.19/0.46 % (11090)Memory used [KB]: 1023
% 0.19/0.46 % (11086)------------------------------
% 0.19/0.46 % (11086)------------------------------
% 0.19/0.46 % (11093)Time elapsed: 0.031 s
% 0.19/0.46 % (11090)Time elapsed: 0.050 s
% 0.19/0.46 % (11093)------------------------------
% 0.19/0.46 % (11093)------------------------------
% 0.19/0.46 % (11090)------------------------------
% 0.19/0.46 % (11090)------------------------------
% 0.19/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------