TSTP Solution File: SEU314+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:28:40 EDT 2022
% Result : Theorem 0.22s 0.59s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 115 ( 5 unt; 0 def)
% Number of atoms : 705 ( 131 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 853 ( 263 ~; 303 |; 254 &)
% ( 15 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 9 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 240 ( 143 !; 97 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f876,plain,
$false,
inference(avatar_sat_refutation,[],[f225,f291,f554,f715,f724,f727,f791,f808,f810,f815,f875]) ).
fof(f875,plain,
( spl18_1
| spl18_32
| ~ spl18_36
| ~ spl18_38 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| spl18_1
| spl18_32
| ~ spl18_36
| ~ spl18_38 ),
inference(subsumption_resolution,[],[f848,f829]) ).
fof(f829,plain,
( in(sK7(sK14(sK6,sK5)),powerset(the_carrier(sK6)))
| spl18_32 ),
inference(unit_resulting_resolution,[],[f697,f136]) ).
fof(f136,plain,
! [X2] :
( in(sK7(X2),powerset(the_carrier(sK6)))
| in(sK7(X2),X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( top_str(sK6)
& element(sK5,powerset(the_carrier(sK6)))
& ! [X2] :
( ( ~ in(sK7(X2),X2)
| ! [X4] :
( ~ closed_subset(X4,sK6)
| ~ subset(sK5,sK7(X2))
| ~ element(X4,powerset(the_carrier(sK6)))
| sK7(X2) != X4 )
| ~ in(sK7(X2),powerset(the_carrier(sK6))) )
& ( in(sK7(X2),X2)
| ( closed_subset(sK8(X2),sK6)
& subset(sK5,sK7(X2))
& element(sK8(X2),powerset(the_carrier(sK6)))
& sK8(X2) = sK7(X2)
& in(sK7(X2),powerset(the_carrier(sK6))) ) ) )
& topological_space(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f80,f83,f82,f81]) ).
fof(f81,plain,
( ? [X0,X1] :
( top_str(X1)
& element(X0,powerset(the_carrier(X1)))
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ closed_subset(X4,X1)
| ~ subset(X0,X3)
| ~ element(X4,powerset(the_carrier(X1)))
| X3 != X4 )
| ~ in(X3,powerset(the_carrier(X1))) )
& ( in(X3,X2)
| ( ? [X5] :
( closed_subset(X5,X1)
& subset(X0,X3)
& element(X5,powerset(the_carrier(X1)))
& X3 = X5 )
& in(X3,powerset(the_carrier(X1))) ) ) )
& topological_space(X1) )
=> ( top_str(sK6)
& element(sK5,powerset(the_carrier(sK6)))
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ closed_subset(X4,sK6)
| ~ subset(sK5,X3)
| ~ element(X4,powerset(the_carrier(sK6)))
| X3 != X4 )
| ~ in(X3,powerset(the_carrier(sK6))) )
& ( in(X3,X2)
| ( ? [X5] :
( closed_subset(X5,sK6)
& subset(sK5,X3)
& element(X5,powerset(the_carrier(sK6)))
& X3 = X5 )
& in(X3,powerset(the_carrier(sK6))) ) ) )
& topological_space(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X2] :
( ? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ closed_subset(X4,sK6)
| ~ subset(sK5,X3)
| ~ element(X4,powerset(the_carrier(sK6)))
| X3 != X4 )
| ~ in(X3,powerset(the_carrier(sK6))) )
& ( in(X3,X2)
| ( ? [X5] :
( closed_subset(X5,sK6)
& subset(sK5,X3)
& element(X5,powerset(the_carrier(sK6)))
& X3 = X5 )
& in(X3,powerset(the_carrier(sK6))) ) ) )
=> ( ( ~ in(sK7(X2),X2)
| ! [X4] :
( ~ closed_subset(X4,sK6)
| ~ subset(sK5,sK7(X2))
| ~ element(X4,powerset(the_carrier(sK6)))
| sK7(X2) != X4 )
| ~ in(sK7(X2),powerset(the_carrier(sK6))) )
& ( in(sK7(X2),X2)
| ( ? [X5] :
( closed_subset(X5,sK6)
& subset(sK5,sK7(X2))
& element(X5,powerset(the_carrier(sK6)))
& sK7(X2) = X5 )
& in(sK7(X2),powerset(the_carrier(sK6))) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X2] :
( ? [X5] :
( closed_subset(X5,sK6)
& subset(sK5,sK7(X2))
& element(X5,powerset(the_carrier(sK6)))
& sK7(X2) = X5 )
=> ( closed_subset(sK8(X2),sK6)
& subset(sK5,sK7(X2))
& element(sK8(X2),powerset(the_carrier(sK6)))
& sK8(X2) = sK7(X2) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1] :
( top_str(X1)
& element(X0,powerset(the_carrier(X1)))
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ closed_subset(X4,X1)
| ~ subset(X0,X3)
| ~ element(X4,powerset(the_carrier(X1)))
| X3 != X4 )
| ~ in(X3,powerset(the_carrier(X1))) )
& ( in(X3,X2)
| ( ? [X5] :
( closed_subset(X5,X1)
& subset(X0,X3)
& element(X5,powerset(the_carrier(X1)))
& X3 = X5 )
& in(X3,powerset(the_carrier(X1))) ) ) )
& topological_space(X1) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
? [X1,X0] :
( top_str(X0)
& element(X1,powerset(the_carrier(X0)))
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ closed_subset(X4,X0)
| ~ subset(X1,X3)
| ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4 )
| ~ in(X3,powerset(the_carrier(X0))) )
& ( in(X3,X2)
| ( ? [X4] :
( closed_subset(X4,X0)
& subset(X1,X3)
& element(X4,powerset(the_carrier(X0)))
& X3 = X4 )
& in(X3,powerset(the_carrier(X0))) ) ) )
& topological_space(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
? [X1,X0] :
( top_str(X0)
& element(X1,powerset(the_carrier(X0)))
& ! [X2] :
? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ closed_subset(X4,X0)
| ~ subset(X1,X3)
| ~ element(X4,powerset(the_carrier(X0)))
| X3 != X4 )
| ~ in(X3,powerset(the_carrier(X0))) )
& ( in(X3,X2)
| ( ? [X4] :
( closed_subset(X4,X0)
& subset(X1,X3)
& element(X4,powerset(the_carrier(X0)))
& X3 = X4 )
& in(X3,powerset(the_carrier(X0))) ) ) )
& topological_space(X0) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
? [X1,X0] :
( top_str(X0)
& element(X1,powerset(the_carrier(X0)))
& ! [X2] :
? [X3] :
( ( ? [X4] :
( closed_subset(X4,X0)
& subset(X1,X3)
& element(X4,powerset(the_carrier(X0)))
& X3 = X4 )
& in(X3,powerset(the_carrier(X0))) )
<~> in(X3,X2) )
& topological_space(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X1,X0] :
( ! [X2] :
? [X3] :
( ( ? [X4] :
( closed_subset(X4,X0)
& subset(X1,X3)
& element(X4,powerset(the_carrier(X0)))
& X3 = X4 )
& in(X3,powerset(the_carrier(X0))) )
<~> in(X3,X2) )
& topological_space(X0)
& element(X1,powerset(the_carrier(X0)))
& top_str(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
( ( topological_space(X0)
& element(X1,powerset(the_carrier(X0)))
& top_str(X0) )
=> ? [X2] :
! [X3] :
( ( ? [X4] :
( closed_subset(X4,X0)
& subset(X1,X3)
& element(X4,powerset(the_carrier(X0)))
& X3 = X4 )
& in(X3,powerset(the_carrier(X0))) )
<=> in(X3,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
( ( topological_space(X0)
& element(X1,powerset(the_carrier(X0)))
& top_str(X0) )
=> ? [X2] :
! [X3] :
( ( ? [X4] :
( closed_subset(X4,X0)
& subset(X1,X3)
& element(X4,powerset(the_carrier(X0)))
& X3 = X4 )
& in(X3,powerset(the_carrier(X0))) )
<=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e1_40__pre_topc__1) ).
fof(f697,plain,
( ~ in(sK7(sK14(sK6,sK5)),sK14(sK6,sK5))
| spl18_32 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl18_32
<=> in(sK7(sK14(sK6,sK5)),sK14(sK6,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_32])]) ).
fof(f848,plain,
( ~ in(sK7(sK14(sK6,sK5)),powerset(the_carrier(sK6)))
| spl18_1
| spl18_32
| ~ spl18_36
| ~ spl18_38 ),
inference(unit_resulting_resolution,[],[f143,f135,f220,f142,f714,f832,f697,f723,f171]) ).
fof(f171,plain,
! [X0,X1,X5] :
( ~ element(X1,powerset(the_carrier(X0)))
| sP1(X0,X1)
| ~ in(X5,powerset(the_carrier(X0)))
| ~ element(X5,powerset(the_carrier(X0)))
| ~ subset(X1,X5)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ closed_subset(X5,X0)
| in(X5,sK14(X0,X1)) ),
inference(equality_resolution,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X4,X5] :
( sP1(X0,X1)
| ~ top_str(X0)
| in(X5,sK14(X0,X1))
| ~ subset(X1,X5)
| ~ closed_subset(X5,X0)
| ~ element(X5,powerset(the_carrier(X0)))
| X4 != X5
| ~ in(X4,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(equality_resolution,[],[f162]) ).
fof(f162,plain,
! [X3,X0,X1,X4,X5] :
( sP1(X0,X1)
| ~ top_str(X0)
| in(X3,sK14(X0,X1))
| ~ subset(X1,X3)
| X3 != X5
| ~ closed_subset(X5,X0)
| ~ element(X5,powerset(the_carrier(X0)))
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ top_str(X0)
| ! [X3] :
( ( in(X3,sK14(X0,X1))
| ! [X4] :
( ! [X5] :
( ~ subset(X1,X3)
| X3 != X5
| ~ closed_subset(X5,X0)
| ~ element(X5,powerset(the_carrier(X0))) )
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ( subset(X1,X3)
& sK16(X0,X1,X3) = X3
& closed_subset(sK16(X0,X1,X3),X0)
& element(sK16(X0,X1,X3),powerset(the_carrier(X0)))
& sK15(X0,X1,X3) = X3
& in(sK15(X0,X1,X3),powerset(the_carrier(X0))) )
| ~ in(X3,sK14(X0,X1)) ) )
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f95,f98,f97,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ! [X5] :
( ~ subset(X1,X3)
| X3 != X5
| ~ closed_subset(X5,X0)
| ~ element(X5,powerset(the_carrier(X0))) )
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X6] :
( ? [X7] :
( subset(X1,X3)
& X3 = X7
& closed_subset(X7,X0)
& element(X7,powerset(the_carrier(X0))) )
& X3 = X6
& in(X6,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK14(X0,X1))
| ! [X4] :
( ! [X5] :
( ~ subset(X1,X3)
| X3 != X5
| ~ closed_subset(X5,X0)
| ~ element(X5,powerset(the_carrier(X0))) )
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X6] :
( ? [X7] :
( subset(X1,X3)
& X3 = X7
& closed_subset(X7,X0)
& element(X7,powerset(the_carrier(X0))) )
& X3 = X6
& in(X6,powerset(the_carrier(X0))) )
| ~ in(X3,sK14(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1,X3] :
( ? [X6] :
( ? [X7] :
( subset(X1,X3)
& X3 = X7
& closed_subset(X7,X0)
& element(X7,powerset(the_carrier(X0))) )
& X3 = X6
& in(X6,powerset(the_carrier(X0))) )
=> ( ? [X7] :
( subset(X1,X3)
& X3 = X7
& closed_subset(X7,X0)
& element(X7,powerset(the_carrier(X0))) )
& sK15(X0,X1,X3) = X3
& in(sK15(X0,X1,X3),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1,X3] :
( ? [X7] :
( subset(X1,X3)
& X3 = X7
& closed_subset(X7,X0)
& element(X7,powerset(the_carrier(X0))) )
=> ( subset(X1,X3)
& sK16(X0,X1,X3) = X3
& closed_subset(sK16(X0,X1,X3),X0)
& element(sK16(X0,X1,X3),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ top_str(X0)
| ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ! [X5] :
( ~ subset(X1,X3)
| X3 != X5
| ~ closed_subset(X5,X0)
| ~ element(X5,powerset(the_carrier(X0))) )
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X6] :
( ? [X7] :
( subset(X1,X3)
& X3 = X7
& closed_subset(X7,X0)
& element(X7,powerset(the_carrier(X0))) )
& X3 = X6
& in(X6,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ top_str(X0)
| ? [X7] :
! [X8] :
( ( in(X8,X7)
| ! [X9] :
( ! [X10] :
( ~ subset(X1,X8)
| X8 != X10
| ~ closed_subset(X10,X0)
| ~ element(X10,powerset(the_carrier(X0))) )
| X8 != X9
| ~ in(X9,powerset(the_carrier(X0))) ) )
& ( ? [X9] :
( ? [X10] :
( subset(X1,X8)
& X8 = X10
& closed_subset(X10,X0)
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) )
| ~ in(X8,X7) ) )
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ top_str(X0)
| ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( subset(X1,X8)
& X8 = X10
& closed_subset(X10,X0)
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) ) )
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(definition_folding,[],[f52,f69,f68]) ).
fof(f68,plain,
! [X0,X4,X1] :
( ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X4 = X6
& closed_subset(X6,X0)
& subset(X1,X4) )
| ~ sP0(X0,X4,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X4,X3,X2] :
( X3 = X4
& ? [X5] :
( closed_subset(X5,X0)
& X2 = X5
& subset(X1,X2)
& element(X5,powerset(the_carrier(X0))) )
& sP0(X0,X4,X1)
& X2 = X3
& X2 != X4 )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X4,X3,X2] :
( X3 = X4
& ? [X5] :
( closed_subset(X5,X0)
& X2 = X5
& subset(X1,X2)
& element(X5,powerset(the_carrier(X0))) )
& ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X4 = X6
& closed_subset(X6,X0)
& subset(X1,X4) )
& X2 = X3
& X2 != X4 )
| ~ top_str(X0)
| ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( subset(X1,X8)
& X8 = X10
& closed_subset(X10,X0)
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) ) )
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( subset(X1,X8)
& X8 = X10
& closed_subset(X10,X0)
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) ) )
| ? [X4,X2,X3] :
( X2 != X4
& X2 = X3
& ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X4 = X6
& closed_subset(X6,X0)
& subset(X1,X4) )
& X3 = X4
& ? [X5] :
( closed_subset(X5,X0)
& X2 = X5
& subset(X1,X2)
& element(X5,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& topological_space(X0)
& top_str(X0) )
=> ( ! [X4,X2,X3] :
( ( X2 = X3
& ? [X6] :
( element(X6,powerset(the_carrier(X0)))
& X4 = X6
& closed_subset(X6,X0)
& subset(X1,X4) )
& X3 = X4
& ? [X5] :
( closed_subset(X5,X0)
& X2 = X5
& subset(X1,X2)
& element(X5,powerset(the_carrier(X0))) ) )
=> X2 = X4 )
=> ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( subset(X1,X8)
& X8 = X10
& closed_subset(X10,X0)
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) ) ) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& topological_space(X0)
& top_str(X0) )
=> ( ! [X4,X2,X3] :
( ( ? [X6] :
( subset(X1,X4)
& closed_subset(X6,X0)
& X4 = X6
& element(X6,powerset(the_carrier(X0))) )
& X2 = X3
& X2 = X4
& ? [X5] :
( element(X5,powerset(the_carrier(X0)))
& closed_subset(X5,X0)
& subset(X1,X3)
& X3 = X5 ) )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( X3 = X4
& in(X4,powerset(the_carrier(X0)))
& ? [X7] :
( closed_subset(X7,X0)
& X3 = X7
& element(X7,powerset(the_carrier(X0)))
& subset(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e1_40__pre_topc__1) ).
fof(f723,plain,
( element(sK7(sK14(sK6,sK5)),powerset(the_carrier(sK6)))
| ~ spl18_38 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f721,plain,
( spl18_38
<=> element(sK7(sK14(sK6,sK5)),powerset(the_carrier(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_38])]) ).
fof(f832,plain,
( subset(sK5,sK7(sK14(sK6,sK5)))
| spl18_32 ),
inference(unit_resulting_resolution,[],[f697,f139]) ).
fof(f139,plain,
! [X2] :
( subset(sK5,sK7(X2))
| in(sK7(X2),X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f714,plain,
( closed_subset(sK7(sK14(sK6,sK5)),sK6)
| ~ spl18_36 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f712,plain,
( spl18_36
<=> closed_subset(sK7(sK14(sK6,sK5)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_36])]) ).
fof(f142,plain,
element(sK5,powerset(the_carrier(sK6))),
inference(cnf_transformation,[],[f84]) ).
fof(f220,plain,
( ~ sP1(sK6,sK5)
| spl18_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl18_1
<=> sP1(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f135,plain,
topological_space(sK6),
inference(cnf_transformation,[],[f84]) ).
fof(f143,plain,
top_str(sK6),
inference(cnf_transformation,[],[f84]) ).
fof(f815,plain,
( spl18_1
| ~ spl18_14
| ~ spl18_32
| spl18_36 ),
inference(avatar_contradiction_clause,[],[f814]) ).
fof(f814,plain,
( $false
| spl18_1
| ~ spl18_14
| ~ spl18_32
| spl18_36 ),
inference(subsumption_resolution,[],[f804,f713]) ).
fof(f713,plain,
( ~ closed_subset(sK7(sK14(sK6,sK5)),sK6)
| spl18_36 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f804,plain,
( closed_subset(sK7(sK14(sK6,sK5)),sK6)
| spl18_1
| ~ spl18_14
| ~ spl18_32 ),
inference(forward_demodulation,[],[f737,f732]) ).
fof(f732,plain,
( sK16(sK6,sK5,sK7(sK14(sK6,sK5))) = sK7(sK14(sK6,sK5))
| ~ spl18_14
| ~ spl18_32 ),
inference(unit_resulting_resolution,[],[f698,f290]) ).
fof(f290,plain,
( ! [X4] :
( ~ in(X4,sK14(sK6,sK5))
| sK16(sK6,sK5,X4) = X4 )
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl18_14
<=> ! [X4] :
( sK16(sK6,sK5,X4) = X4
| ~ in(X4,sK14(sK6,sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).
fof(f698,plain,
( in(sK7(sK14(sK6,sK5)),sK14(sK6,sK5))
| ~ spl18_32 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f737,plain,
( closed_subset(sK16(sK6,sK5,sK7(sK14(sK6,sK5))),sK6)
| spl18_1
| ~ spl18_32 ),
inference(unit_resulting_resolution,[],[f143,f135,f220,f142,f698,f159]) ).
fof(f159,plain,
! [X3,X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| ~ in(X3,sK14(X0,X1))
| ~ element(X1,powerset(the_carrier(X0)))
| closed_subset(sK16(X0,X1,X3),X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f810,plain,
( spl18_26
| spl18_1
| ~ spl18_32 ),
inference(avatar_split_clause,[],[f736,f696,f219,f527]) ).
fof(f527,plain,
( spl18_26
<=> sK15(sK6,sK5,sK7(sK14(sK6,sK5))) = sK7(sK14(sK6,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).
fof(f736,plain,
( sK15(sK6,sK5,sK7(sK14(sK6,sK5))) = sK7(sK14(sK6,sK5))
| spl18_1
| ~ spl18_32 ),
inference(unit_resulting_resolution,[],[f143,f135,f220,f142,f698,f157]) ).
fof(f157,plain,
! [X3,X0,X1] :
( ~ topological_space(X0)
| ~ in(X3,sK14(X0,X1))
| sK15(X0,X1,X3) = X3
| ~ element(X1,powerset(the_carrier(X0)))
| sP1(X0,X1)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f808,plain,
( spl18_1
| ~ spl18_14
| ~ spl18_32
| spl18_38 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| spl18_1
| ~ spl18_14
| ~ spl18_32
| spl18_38 ),
inference(subsumption_resolution,[],[f806,f722]) ).
fof(f722,plain,
( ~ element(sK7(sK14(sK6,sK5)),powerset(the_carrier(sK6)))
| spl18_38 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f806,plain,
( element(sK7(sK14(sK6,sK5)),powerset(the_carrier(sK6)))
| spl18_1
| ~ spl18_14
| ~ spl18_32 ),
inference(forward_demodulation,[],[f735,f732]) ).
fof(f735,plain,
( element(sK16(sK6,sK5,sK7(sK14(sK6,sK5))),powerset(the_carrier(sK6)))
| spl18_1
| ~ spl18_32 ),
inference(unit_resulting_resolution,[],[f143,f135,f220,f142,f698,f158]) ).
fof(f158,plain,
! [X3,X0,X1] :
( ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| sP1(X0,X1)
| ~ in(X3,sK14(X0,X1))
| element(sK16(X0,X1,X3),powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f791,plain,
( spl18_1
| ~ spl18_2
| ~ spl18_26
| ~ spl18_32
| ~ spl18_36
| ~ spl18_38 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f790,plain,
( $false
| spl18_1
| ~ spl18_2
| ~ spl18_26
| ~ spl18_32
| ~ spl18_36
| ~ spl18_38 ),
inference(subsumption_resolution,[],[f763,f753]) ).
fof(f753,plain,
( in(sK7(sK14(sK6,sK5)),powerset(the_carrier(sK6)))
| ~ spl18_2
| ~ spl18_26
| ~ spl18_32 ),
inference(forward_demodulation,[],[f731,f529]) ).
fof(f529,plain,
( sK15(sK6,sK5,sK7(sK14(sK6,sK5))) = sK7(sK14(sK6,sK5))
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f731,plain,
( in(sK15(sK6,sK5,sK7(sK14(sK6,sK5))),powerset(the_carrier(sK6)))
| ~ spl18_2
| ~ spl18_32 ),
inference(unit_resulting_resolution,[],[f698,f224]) ).
fof(f224,plain,
( ! [X0] :
( in(sK15(sK6,sK5,X0),powerset(the_carrier(sK6)))
| ~ in(X0,sK14(sK6,sK5)) )
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl18_2
<=> ! [X0] :
( ~ in(X0,sK14(sK6,sK5))
| in(sK15(sK6,sK5,X0),powerset(the_carrier(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f763,plain,
( ~ in(sK7(sK14(sK6,sK5)),powerset(the_carrier(sK6)))
| spl18_1
| ~ spl18_32
| ~ spl18_36
| ~ spl18_38 ),
inference(unit_resulting_resolution,[],[f714,f740,f698,f723,f169]) ).
fof(f169,plain,
! [X2] :
( ~ in(sK7(X2),powerset(the_carrier(sK6)))
| ~ in(sK7(X2),X2)
| ~ subset(sK5,sK7(X2))
| ~ element(sK7(X2),powerset(the_carrier(sK6)))
| ~ closed_subset(sK7(X2),sK6) ),
inference(equality_resolution,[],[f141]) ).
fof(f141,plain,
! [X2,X4] :
( ~ in(sK7(X2),X2)
| ~ closed_subset(X4,sK6)
| ~ subset(sK5,sK7(X2))
| ~ element(X4,powerset(the_carrier(sK6)))
| sK7(X2) != X4
| ~ in(sK7(X2),powerset(the_carrier(sK6))) ),
inference(cnf_transformation,[],[f84]) ).
fof(f740,plain,
( subset(sK5,sK7(sK14(sK6,sK5)))
| spl18_1
| ~ spl18_32 ),
inference(unit_resulting_resolution,[],[f135,f143,f220,f142,f698,f161]) ).
fof(f161,plain,
! [X3,X0,X1] :
( ~ in(X3,sK14(X0,X1))
| ~ top_str(X0)
| subset(X1,X3)
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f727,plain,
( spl18_32
| spl18_25 ),
inference(avatar_split_clause,[],[f726,f523,f696]) ).
fof(f523,plain,
( spl18_25
<=> sK8(sK14(sK6,sK5)) = sK7(sK14(sK6,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).
fof(f726,plain,
( in(sK7(sK14(sK6,sK5)),sK14(sK6,sK5))
| spl18_25 ),
inference(unit_resulting_resolution,[],[f524,f137]) ).
fof(f137,plain,
! [X2] :
( in(sK7(X2),X2)
| sK8(X2) = sK7(X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f524,plain,
( sK8(sK14(sK6,sK5)) != sK7(sK14(sK6,sK5))
| spl18_25 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f724,plain,
( spl18_32
| spl18_38
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f693,f523,f721,f696]) ).
fof(f693,plain,
( element(sK7(sK14(sK6,sK5)),powerset(the_carrier(sK6)))
| in(sK7(sK14(sK6,sK5)),sK14(sK6,sK5))
| ~ spl18_25 ),
inference(superposition,[],[f138,f525]) ).
fof(f525,plain,
( sK8(sK14(sK6,sK5)) = sK7(sK14(sK6,sK5))
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f138,plain,
! [X2] :
( element(sK8(X2),powerset(the_carrier(sK6)))
| in(sK7(X2),X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f715,plain,
( spl18_36
| spl18_32
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f694,f523,f696,f712]) ).
fof(f694,plain,
( in(sK7(sK14(sK6,sK5)),sK14(sK6,sK5))
| closed_subset(sK7(sK14(sK6,sK5)),sK6)
| ~ spl18_25 ),
inference(superposition,[],[f140,f525]) ).
fof(f140,plain,
! [X2] :
( closed_subset(sK8(X2),sK6)
| in(sK7(X2),X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f554,plain,
~ spl18_1,
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| ~ spl18_1 ),
inference(subsumption_resolution,[],[f539,f548]) ).
fof(f548,plain,
( sK11(sK6,sK5) = sK9(sK6,sK5)
| ~ spl18_1 ),
inference(forward_demodulation,[],[f532,f538]) ).
fof(f538,plain,
( sK10(sK6,sK5) = sK9(sK6,sK5)
| ~ spl18_1 ),
inference(unit_resulting_resolution,[],[f221,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK9(X0,X1) = sK10(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( sK9(X0,X1) = sK10(X0,X1)
& closed_subset(sK12(X0,X1),X0)
& sK12(X0,X1) = sK11(X0,X1)
& subset(X1,sK11(X0,X1))
& element(sK12(X0,X1),powerset(the_carrier(X0)))
& sP0(X0,sK9(X0,X1),X1)
& sK11(X0,X1) = sK10(X0,X1)
& sK11(X0,X1) != sK9(X0,X1) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f86,f88,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X2 = X3
& ? [X5] :
( closed_subset(X5,X0)
& X4 = X5
& subset(X1,X4)
& element(X5,powerset(the_carrier(X0))) )
& sP0(X0,X2,X1)
& X3 = X4
& X2 != X4 )
=> ( sK9(X0,X1) = sK10(X0,X1)
& ? [X5] :
( closed_subset(X5,X0)
& sK11(X0,X1) = X5
& subset(X1,sK11(X0,X1))
& element(X5,powerset(the_carrier(X0))) )
& sP0(X0,sK9(X0,X1),X1)
& sK11(X0,X1) = sK10(X0,X1)
& sK11(X0,X1) != sK9(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X5] :
( closed_subset(X5,X0)
& sK11(X0,X1) = X5
& subset(X1,sK11(X0,X1))
& element(X5,powerset(the_carrier(X0))) )
=> ( closed_subset(sK12(X0,X1),X0)
& sK12(X0,X1) = sK11(X0,X1)
& subset(X1,sK11(X0,X1))
& element(sK12(X0,X1),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X2 = X3
& ? [X5] :
( closed_subset(X5,X0)
& X4 = X5
& subset(X1,X4)
& element(X5,powerset(the_carrier(X0))) )
& sP0(X0,X2,X1)
& X3 = X4
& X2 != X4 )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ? [X4,X3,X2] :
( X3 = X4
& ? [X5] :
( closed_subset(X5,X0)
& X2 = X5
& subset(X1,X2)
& element(X5,powerset(the_carrier(X0))) )
& sP0(X0,X4,X1)
& X2 = X3
& X2 != X4 )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f69]) ).
fof(f221,plain,
( sP1(sK6,sK5)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f532,plain,
( sK10(sK6,sK5) = sK11(sK6,sK5)
| ~ spl18_1 ),
inference(unit_resulting_resolution,[],[f221,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK11(X0,X1) = sK10(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f539,plain,
( sK11(sK6,sK5) != sK9(sK6,sK5)
| ~ spl18_1 ),
inference(resolution,[],[f221,f144]) ).
fof(f144,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK11(X0,X1) != sK9(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f291,plain,
( spl18_14
| spl18_1 ),
inference(avatar_split_clause,[],[f287,f219,f289]) ).
fof(f287,plain,
! [X4] :
( sP1(sK6,sK5)
| sK16(sK6,sK5,X4) = X4
| ~ in(X4,sK14(sK6,sK5)) ),
inference(subsumption_resolution,[],[f286,f143]) ).
fof(f286,plain,
! [X4] :
( sK16(sK6,sK5,X4) = X4
| ~ top_str(sK6)
| ~ in(X4,sK14(sK6,sK5))
| sP1(sK6,sK5) ),
inference(subsumption_resolution,[],[f197,f135]) ).
fof(f197,plain,
! [X4] :
( sK16(sK6,sK5,X4) = X4
| ~ topological_space(sK6)
| ~ in(X4,sK14(sK6,sK5))
| sP1(sK6,sK5)
| ~ top_str(sK6) ),
inference(resolution,[],[f142,f160]) ).
fof(f160,plain,
! [X3,X0,X1] :
( ~ topological_space(X0)
| ~ in(X3,sK14(X0,X1))
| ~ element(X1,powerset(the_carrier(X0)))
| sP1(X0,X1)
| ~ top_str(X0)
| sK16(X0,X1,X3) = X3 ),
inference(cnf_transformation,[],[f99]) ).
fof(f225,plain,
( spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f217,f223,f219]) ).
fof(f217,plain,
! [X0] :
( ~ in(X0,sK14(sK6,sK5))
| sP1(sK6,sK5)
| in(sK15(sK6,sK5,X0),powerset(the_carrier(sK6))) ),
inference(subsumption_resolution,[],[f216,f143]) ).
fof(f216,plain,
! [X0] :
( ~ in(X0,sK14(sK6,sK5))
| ~ top_str(sK6)
| in(sK15(sK6,sK5,X0),powerset(the_carrier(sK6)))
| sP1(sK6,sK5) ),
inference(subsumption_resolution,[],[f193,f135]) ).
fof(f193,plain,
! [X0] :
( ~ topological_space(sK6)
| ~ top_str(sK6)
| sP1(sK6,sK5)
| in(sK15(sK6,sK5,X0),powerset(the_carrier(sK6)))
| ~ in(X0,sK14(sK6,sK5)) ),
inference(resolution,[],[f142,f156]) ).
fof(f156,plain,
! [X3,X0,X1] :
( in(sK15(X0,X1,X3),powerset(the_carrier(X0)))
| sP1(X0,X1)
| ~ in(X3,sK14(X0,X1))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 15:14:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.53 % (12006)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.22/0.53 % (11999)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.53 % (12016)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.22/0.53 % (11997)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.22/0.53 % (12007)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.22/0.53 % (11999)Instruction limit reached!
% 0.22/0.53 % (11999)------------------------------
% 0.22/0.53 % (11999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (11999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (11999)Termination reason: Unknown
% 0.22/0.53 % (11999)Termination phase: shuffling
% 0.22/0.53
% 0.22/0.53 % (11999)Memory used [KB]: 1535
% 0.22/0.53 % (11999)Time elapsed: 0.003 s
% 0.22/0.53 % (11999)Instructions burned: 3 (million)
% 0.22/0.53 % (11999)------------------------------
% 0.22/0.53 % (11999)------------------------------
% 0.22/0.53 % (12019)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.22/0.53 % (12009)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.53 % (11998)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.22/0.53 % (12007)Instruction limit reached!
% 0.22/0.53 % (12007)------------------------------
% 0.22/0.53 % (12007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (12007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (12007)Termination reason: Unknown
% 0.22/0.53 % (12007)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (12007)Memory used [KB]: 6140
% 0.22/0.53 % (12007)Time elapsed: 0.131 s
% 0.22/0.53 % (12007)Instructions burned: 12 (million)
% 0.22/0.53 % (12007)------------------------------
% 0.22/0.53 % (12007)------------------------------
% 0.22/0.54 % (12012)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.54 % (12005)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.22/0.54 % (12002)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.54 % (12001)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.22/0.54 % (12011)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.54 % (12000)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.54 % (12011)Instruction limit reached!
% 0.22/0.54 % (12011)------------------------------
% 0.22/0.54 % (12011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (12011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (12011)Termination reason: Unknown
% 0.22/0.54 % (12011)Termination phase: Equality resolution with deletion
% 0.22/0.54
% 0.22/0.54 % (12011)Memory used [KB]: 1535
% 0.22/0.54 % (12011)Time elapsed: 0.003 s
% 0.22/0.54 % (12011)Instructions burned: 3 (million)
% 0.22/0.54 % (12011)------------------------------
% 0.22/0.54 % (12011)------------------------------
% 0.22/0.54 % (12004)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.22/0.54 % (12000)Refutation not found, incomplete strategy% (12000)------------------------------
% 0.22/0.54 % (12000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (12000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (12000)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (12000)Memory used [KB]: 6012
% 0.22/0.54 % (12000)Time elapsed: 0.138 s
% 0.22/0.54 % (12000)Instructions burned: 4 (million)
% 0.22/0.54 % (12000)------------------------------
% 0.22/0.54 % (12000)------------------------------
% 0.22/0.54 % (12008)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.54 % (12010)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.54 % (12006)Refutation not found, incomplete strategy% (12006)------------------------------
% 0.22/0.54 % (12006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (12015)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.54 % (12015)Instruction limit reached!
% 0.22/0.54 % (12015)------------------------------
% 0.22/0.54 % (12015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (12015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (12015)Termination reason: Unknown
% 0.22/0.54 % (12015)Termination phase: Preprocessing 3
% 0.22/0.54
% 0.22/0.54 % (12015)Memory used [KB]: 1407
% 0.22/0.54 % (12015)Time elapsed: 0.002 s
% 0.22/0.54 % (12015)Instructions burned: 2 (million)
% 0.22/0.54 % (12015)------------------------------
% 0.22/0.54 % (12015)------------------------------
% 0.22/0.54 % (12006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (12006)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (12006)Memory used [KB]: 6140
% 0.22/0.54 % (12006)Time elapsed: 0.125 s
% 0.22/0.54 % (12006)Instructions burned: 6 (million)
% 0.22/0.54 % (12006)------------------------------
% 0.22/0.54 % (12006)------------------------------
% 0.22/0.54 % (12021)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.54 % (12008)Instruction limit reached!
% 0.22/0.54 % (12008)------------------------------
% 0.22/0.54 % (12008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (12008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (12008)Termination reason: Unknown
% 0.22/0.54 % (12008)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (12008)Memory used [KB]: 6140
% 0.22/0.54 % (12008)Time elapsed: 0.135 s
% 0.22/0.54 % (12008)Instructions burned: 7 (million)
% 0.22/0.54 % (12008)------------------------------
% 0.22/0.54 % (12008)------------------------------
% 0.22/0.54 % (12010)Refutation not found, incomplete strategy% (12010)------------------------------
% 0.22/0.54 % (12010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (12010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (12010)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (12010)Memory used [KB]: 6012
% 0.22/0.54 % (12010)Time elapsed: 0.133 s
% 0.22/0.54 % (12010)Instructions burned: 6 (million)
% 0.22/0.54 % (12010)------------------------------
% 0.22/0.54 % (12010)------------------------------
% 0.22/0.54 % (12003)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.22/0.54 % (12020)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.22/0.55 % (12023)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.55 % (12022)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.22/0.55 % (12009)Instruction limit reached!
% 0.22/0.55 % (12009)------------------------------
% 0.22/0.55 % (12009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (12009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (12009)Termination reason: Unknown
% 0.22/0.55 % (12009)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (12009)Memory used [KB]: 1663
% 0.22/0.55 % (12009)Time elapsed: 0.130 s
% 0.22/0.55 % (12009)Instructions burned: 18 (million)
% 0.22/0.55 % (12009)------------------------------
% 0.22/0.55 % (12009)------------------------------
% 0.22/0.55 % (12016)Refutation not found, incomplete strategy% (12016)------------------------------
% 0.22/0.55 % (12016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (12016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (12016)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55
% 0.22/0.55 % (12016)Memory used [KB]: 6140
% 0.22/0.55 % (12016)Time elapsed: 0.139 s
% 0.22/0.55 % (12016)Instructions burned: 7 (million)
% 0.22/0.55 % (12016)------------------------------
% 0.22/0.55 % (12016)------------------------------
% 0.22/0.55 % (12025)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.22/0.55 % (12003)Refutation not found, incomplete strategy% (12003)------------------------------
% 0.22/0.55 % (12003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (12003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (12003)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55
% 0.22/0.55 % (12003)Memory used [KB]: 6140
% 0.22/0.55 % (12003)Time elapsed: 0.099 s
% 0.22/0.55 % (12003)Instructions burned: 11 (million)
% 0.22/0.55 % (12003)------------------------------
% 0.22/0.55 % (12003)------------------------------
% 0.22/0.55 % (12026)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.22/0.55 % (12025)Instruction limit reached!
% 0.22/0.55 % (12025)------------------------------
% 0.22/0.55 % (12025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (12025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (12025)Termination reason: Unknown
% 0.22/0.55 % (12025)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (12025)Memory used [KB]: 6140
% 0.22/0.55 % (12025)Time elapsed: 0.148 s
% 0.22/0.55 % (12025)Instructions burned: 9 (million)
% 0.22/0.55 % (12025)------------------------------
% 0.22/0.55 % (12025)------------------------------
% 0.22/0.55 % (12024)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.22/0.55 % (12014)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.55 % (12014)Instruction limit reached!
% 0.22/0.55 % (12014)------------------------------
% 0.22/0.55 % (12014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (12014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (12014)Termination reason: Unknown
% 0.22/0.55 % (12014)Termination phase: Finite model building preprocessing
% 0.22/0.55
% 0.22/0.55 % (12014)Memory used [KB]: 1535
% 0.22/0.55 % (12014)Time elapsed: 0.003 s
% 0.22/0.55 % (12014)Instructions burned: 4 (million)
% 0.22/0.55 % (12014)------------------------------
% 0.22/0.55 % (12014)------------------------------
% 0.22/0.55 % (12013)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.55 % (12018)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.56 % (12017)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.22/0.56 % (12012)Instruction limit reached!
% 0.22/0.56 % (12012)------------------------------
% 0.22/0.56 % (12012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (12012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (12012)Termination reason: Unknown
% 0.22/0.56 % (12012)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (12012)Memory used [KB]: 6140
% 0.22/0.56 % (12012)Time elapsed: 0.139 s
% 0.22/0.56 % (12012)Instructions burned: 7 (million)
% 0.22/0.56 % (12012)------------------------------
% 0.22/0.56 % (12012)------------------------------
% 0.22/0.56 % (12001)Instruction limit reached!
% 0.22/0.56 % (12001)------------------------------
% 0.22/0.56 % (12001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (12001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (12001)Termination reason: Unknown
% 0.22/0.56 % (12001)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (12001)Memory used [KB]: 6140
% 0.22/0.56 % (12001)Time elapsed: 0.147 s
% 0.22/0.56 % (12001)Instructions burned: 14 (million)
% 0.22/0.56 % (12001)------------------------------
% 0.22/0.56 % (12001)------------------------------
% 0.22/0.56 % (11998)Instruction limit reached!
% 0.22/0.56 % (11998)------------------------------
% 0.22/0.56 % (11998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (11998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (11998)Termination reason: Unknown
% 0.22/0.56 % (11998)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (11998)Memory used [KB]: 6268
% 0.22/0.56 % (11998)Time elapsed: 0.150 s
% 0.22/0.56 % (11998)Instructions burned: 14 (million)
% 0.22/0.56 % (11998)------------------------------
% 0.22/0.56 % (11998)------------------------------
% 0.22/0.56 % (12002)Instruction limit reached!
% 0.22/0.56 % (12002)------------------------------
% 0.22/0.56 % (12002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (12002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (12002)Termination reason: Unknown
% 0.22/0.56 % (12002)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (12002)Memory used [KB]: 1663
% 0.22/0.56 % (12002)Time elapsed: 0.149 s
% 0.22/0.56 % (12002)Instructions burned: 15 (million)
% 0.22/0.56 % (12002)------------------------------
% 0.22/0.56 % (12002)------------------------------
% 0.22/0.57 % (12004)First to succeed.
% 0.22/0.59 % (12004)Refutation found. Thanks to Tanya!
% 0.22/0.59 % SZS status Theorem for theBenchmark
% 0.22/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.59 % (12004)------------------------------
% 0.22/0.59 % (12004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59 % (12004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59 % (12004)Termination reason: Refutation
% 0.22/0.59
% 0.22/0.59 % (12004)Memory used [KB]: 6524
% 0.22/0.59 % (12004)Time elapsed: 0.149 s
% 0.22/0.59 % (12004)Instructions burned: 22 (million)
% 0.22/0.59 % (12004)------------------------------
% 0.22/0.59 % (12004)------------------------------
% 0.22/0.59 % (11996)Success in time 0.226 s
%------------------------------------------------------------------------------