TSTP Solution File: SET806+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET806+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : n017.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 18:22:19 EDT 2022
% Result : Theorem 1.55s 0.64s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 116 ( 8 unt; 0 def)
% Number of atoms : 414 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 457 ( 159 ~; 164 |; 96 &)
% ( 15 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 173 ( 138 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f300,plain,
$false,
inference(avatar_sat_refutation,[],[f194,f210,f225,f234,f246,f262,f282,f299]) ).
fof(f299,plain,
( ~ spl11_1
| spl11_10 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl11_1
| spl11_10 ),
inference(subsumption_resolution,[],[f296,f288]) ).
fof(f288,plain,
( member(sK3(sK7(equal_set_predicate,power_set(sK2)),sK5(equal_set_predicate,power_set(sK2))),sK5(equal_set_predicate,power_set(sK2)))
| spl11_10 ),
inference(resolution,[],[f261,f106]) ).
fof(f106,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( member(sK3(X0,X1),X1)
& ~ member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f63,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK3(X0,X1),X1)
& ~ member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f261,plain,
( ~ subset(sK5(equal_set_predicate,power_set(sK2)),sK7(equal_set_predicate,power_set(sK2)))
| spl11_10 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl11_10
<=> subset(sK5(equal_set_predicate,power_set(sK2)),sK7(equal_set_predicate,power_set(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f296,plain,
( ~ member(sK3(sK7(equal_set_predicate,power_set(sK2)),sK5(equal_set_predicate,power_set(sK2))),sK5(equal_set_predicate,power_set(sK2)))
| ~ spl11_1
| spl11_10 ),
inference(resolution,[],[f295,f249]) ).
fof(f249,plain,
( ! [X2] :
( member(X2,sK6(equal_set_predicate,power_set(sK2)))
| ~ member(X2,sK5(equal_set_predicate,power_set(sK2))) )
| ~ spl11_1 ),
inference(resolution,[],[f143,f175]) ).
fof(f175,plain,
! [X10,X9] :
( ~ sP0(equal_set_predicate,X10)
| ~ member(X9,sK5(equal_set_predicate,X10))
| member(X9,sK6(equal_set_predicate,X10)) ),
inference(resolution,[],[f162,f121]) ).
fof(f121,plain,
! [X0,X1] :
( apply(X0,sK5(X0,X1),sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( apply(X0,sK5(X0,X1),sK6(X0,X1))
& member(sK7(X0,X1),X1)
& member(sK6(X0,X1),X1)
& member(sK5(X0,X1),X1)
& apply(X0,sK6(X0,X1),sK7(X0,X1))
& ~ apply(X0,sK5(X0,X1),sK7(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( apply(X0,X2,X3)
& member(X4,X1)
& member(X3,X1)
& member(X2,X1)
& apply(X0,X3,X4)
& ~ apply(X0,X2,X4) )
=> ( apply(X0,sK5(X0,X1),sK6(X0,X1))
& member(sK7(X0,X1),X1)
& member(sK6(X0,X1),X1)
& member(sK5(X0,X1),X1)
& apply(X0,sK6(X0,X1),sK7(X0,X1))
& ~ apply(X0,sK5(X0,X1),sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( apply(X0,X2,X3)
& member(X4,X1)
& member(X3,X1)
& member(X2,X1)
& apply(X0,X3,X4)
& ~ apply(X0,X2,X4) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( apply(X0,X2,X3)
& member(X4,X1)
& member(X3,X1)
& member(X2,X1)
& apply(X0,X3,X4)
& ~ apply(X0,X2,X4) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ apply(equal_set_predicate,X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(resolution,[],[f160,f104]) ).
fof(f104,plain,
! [X3,X0,X1] :
( ~ subset(X1,X0)
| ~ member(X3,X1)
| member(X3,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f160,plain,
! [X2,X3] :
( subset(X2,X3)
| ~ apply(equal_set_predicate,X2,X3) ),
inference(resolution,[],[f88,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ equal_set(X0,X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| ~ equal_set(X0,X1) ) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| ~ equal_set(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f88,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ apply(equal_set_predicate,X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( equal_set(X1,X0)
| ~ apply(equal_set_predicate,X1,X0) )
& ( apply(equal_set_predicate,X1,X0)
| ~ equal_set(X1,X0) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ( equal_set(X0,X1)
| ~ apply(equal_set_predicate,X0,X1) )
& ( apply(equal_set_predicate,X0,X1)
| ~ equal_set(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( equal_set(X0,X1)
<=> apply(equal_set_predicate,X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X2,X4] :
( equal_set(X2,X4)
<=> apply(equal_set_predicate,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rel_equal_set) ).
fof(f143,plain,
( sP0(equal_set_predicate,power_set(sK2))
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl11_1
<=> sP0(equal_set_predicate,power_set(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f295,plain,
( ~ member(sK3(sK7(equal_set_predicate,power_set(sK2)),sK5(equal_set_predicate,power_set(sK2))),sK6(equal_set_predicate,power_set(sK2)))
| ~ spl11_1
| spl11_10 ),
inference(resolution,[],[f286,f250]) ).
fof(f250,plain,
( ! [X3] :
( member(X3,sK7(equal_set_predicate,power_set(sK2)))
| ~ member(X3,sK6(equal_set_predicate,power_set(sK2))) )
| ~ spl11_1 ),
inference(resolution,[],[f143,f174]) ).
fof(f174,plain,
! [X8,X7] :
( ~ sP0(equal_set_predicate,X8)
| member(X7,sK7(equal_set_predicate,X8))
| ~ member(X7,sK6(equal_set_predicate,X8)) ),
inference(resolution,[],[f162,f117]) ).
fof(f117,plain,
! [X0,X1] :
( apply(X0,sK6(X0,X1),sK7(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f286,plain,
( ~ member(sK3(sK7(equal_set_predicate,power_set(sK2)),sK5(equal_set_predicate,power_set(sK2))),sK7(equal_set_predicate,power_set(sK2)))
| spl11_10 ),
inference(resolution,[],[f261,f105]) ).
fof(f105,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f282,plain,
( ~ spl11_1
| spl11_9 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl11_1
| spl11_9 ),
inference(subsumption_resolution,[],[f280,f267]) ).
fof(f267,plain,
( member(sK3(sK5(equal_set_predicate,power_set(sK2)),sK7(equal_set_predicate,power_set(sK2))),sK7(equal_set_predicate,power_set(sK2)))
| spl11_9 ),
inference(resolution,[],[f257,f106]) ).
fof(f257,plain,
( ~ subset(sK7(equal_set_predicate,power_set(sK2)),sK5(equal_set_predicate,power_set(sK2)))
| spl11_9 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl11_9
<=> subset(sK7(equal_set_predicate,power_set(sK2)),sK5(equal_set_predicate,power_set(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f280,plain,
( ~ member(sK3(sK5(equal_set_predicate,power_set(sK2)),sK7(equal_set_predicate,power_set(sK2))),sK7(equal_set_predicate,power_set(sK2)))
| ~ spl11_1
| spl11_9 ),
inference(resolution,[],[f278,f248]) ).
fof(f248,plain,
( ! [X1] :
( member(X1,sK6(equal_set_predicate,power_set(sK2)))
| ~ member(X1,sK7(equal_set_predicate,power_set(sK2))) )
| ~ spl11_1 ),
inference(resolution,[],[f143,f179]) ).
fof(f179,plain,
! [X8,X7] :
( ~ sP0(equal_set_predicate,X8)
| ~ member(X7,sK7(equal_set_predicate,X8))
| member(X7,sK6(equal_set_predicate,X8)) ),
inference(resolution,[],[f163,f117]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ apply(equal_set_predicate,X0,X1)
| member(X2,X0)
| ~ member(X2,X1) ),
inference(resolution,[],[f161,f104]) ).
fof(f161,plain,
! [X4,X5] :
( subset(X5,X4)
| ~ apply(equal_set_predicate,X4,X5) ),
inference(resolution,[],[f88,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ equal_set(X0,X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f278,plain,
( ~ member(sK3(sK5(equal_set_predicate,power_set(sK2)),sK7(equal_set_predicate,power_set(sK2))),sK6(equal_set_predicate,power_set(sK2)))
| ~ spl11_1
| spl11_9 ),
inference(resolution,[],[f265,f247]) ).
fof(f247,plain,
( ! [X0] :
( member(X0,sK5(equal_set_predicate,power_set(sK2)))
| ~ member(X0,sK6(equal_set_predicate,power_set(sK2))) )
| ~ spl11_1 ),
inference(resolution,[],[f143,f180]) ).
fof(f180,plain,
! [X10,X9] :
( ~ sP0(equal_set_predicate,X10)
| ~ member(X9,sK6(equal_set_predicate,X10))
| member(X9,sK5(equal_set_predicate,X10)) ),
inference(resolution,[],[f163,f121]) ).
fof(f265,plain,
( ~ member(sK3(sK5(equal_set_predicate,power_set(sK2)),sK7(equal_set_predicate,power_set(sK2))),sK5(equal_set_predicate,power_set(sK2)))
| spl11_9 ),
inference(resolution,[],[f257,f105]) ).
fof(f262,plain,
( ~ spl11_9
| ~ spl11_10
| ~ spl11_1 ),
inference(avatar_split_clause,[],[f251,f141,f259,f255]) ).
fof(f251,plain,
( ~ subset(sK5(equal_set_predicate,power_set(sK2)),sK7(equal_set_predicate,power_set(sK2)))
| ~ subset(sK7(equal_set_predicate,power_set(sK2)),sK5(equal_set_predicate,power_set(sK2)))
| ~ spl11_1 ),
inference(resolution,[],[f143,f168]) ).
fof(f168,plain,
! [X4] :
( ~ sP0(equal_set_predicate,X4)
| ~ subset(sK7(equal_set_predicate,X4),sK5(equal_set_predicate,X4))
| ~ subset(sK5(equal_set_predicate,X4),sK7(equal_set_predicate,X4)) ),
inference(resolution,[],[f158,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f158,plain,
! [X0,X1] :
( apply(equal_set_predicate,X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f87,f112]) ).
fof(f112,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f87,plain,
! [X0,X1] :
( ~ equal_set(X1,X0)
| apply(equal_set_predicate,X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f246,plain,
( spl11_1
| spl11_7
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f245,f222,f207,f141]) ).
fof(f207,plain,
( spl11_7
<=> subset(sK10(power_set(sK2),equal_set_predicate),sK9(power_set(sK2),equal_set_predicate)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f222,plain,
( spl11_8
<=> apply(equal_set_predicate,sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f245,plain,
( sP0(equal_set_predicate,power_set(sK2))
| spl11_7
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f244,f103]) ).
fof(f103,plain,
~ equivalence(equal_set_predicate,power_set(sK2)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
~ equivalence(equal_set_predicate,power_set(sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f37,f60]) ).
fof(f60,plain,
( ? [X0] : ~ equivalence(equal_set_predicate,power_set(X0))
=> ~ equivalence(equal_set_predicate,power_set(sK2)) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] : ~ equivalence(equal_set_predicate,power_set(X0)),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
~ ! [X0] : equivalence(equal_set_predicate,power_set(X0)),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3] : equivalence(equal_set_predicate,power_set(X3)),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3] : equivalence(equal_set_predicate,power_set(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII13) ).
fof(f244,plain,
( equivalence(equal_set_predicate,power_set(sK2))
| sP0(equal_set_predicate,power_set(sK2))
| spl11_7
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f243,f223]) ).
fof(f223,plain,
( apply(equal_set_predicate,sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f243,plain,
( ~ apply(equal_set_predicate,sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| equivalence(equal_set_predicate,power_set(sK2))
| sP0(equal_set_predicate,power_set(sK2))
| spl11_7 ),
inference(resolution,[],[f236,f123]) ).
fof(f123,plain,
! [X0,X1] :
( apply(X1,sK9(X0,X1),sK10(X0,X1))
| equivalence(X1,X0)
| sP0(X1,X0)
| ~ apply(X1,sK8(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ( member(sK8(X0,X1),X0)
& ~ apply(X1,sK8(X0,X1),sK8(X0,X1)) )
| ( member(sK9(X0,X1),X0)
& ~ apply(X1,sK10(X0,X1),sK9(X0,X1))
& apply(X1,sK9(X0,X1),sK10(X0,X1))
& member(sK10(X0,X1),X0) )
| sP0(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f78,f80,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ apply(X1,X2,X2) )
=> ( member(sK8(X0,X1),X0)
& ~ apply(X1,sK8(X0,X1),sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1] :
( ? [X3,X4] :
( member(X3,X0)
& ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X4,X0) )
=> ( member(sK9(X0,X1),X0)
& ~ apply(X1,sK10(X0,X1),sK9(X0,X1))
& apply(X1,sK9(X0,X1),sK10(X0,X1))
& member(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ? [X2] :
( member(X2,X0)
& ~ apply(X1,X2,X2) )
| ? [X3,X4] :
( member(X3,X0)
& ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X4,X0) )
| sP0(X1,X0) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( equivalence(X0,X1)
| ? [X7] :
( member(X7,X1)
& ~ apply(X0,X7,X7) )
| ? [X5,X6] :
( member(X5,X1)
& ~ apply(X0,X6,X5)
& apply(X0,X5,X6)
& member(X6,X1) )
| sP0(X0,X1) ),
inference(definition_folding,[],[f39,f42]) ).
fof(f39,plain,
! [X1,X0] :
( equivalence(X0,X1)
| ? [X7] :
( member(X7,X1)
& ~ apply(X0,X7,X7) )
| ? [X5,X6] :
( member(X5,X1)
& ~ apply(X0,X6,X5)
& apply(X0,X5,X6)
& member(X6,X1) )
| ? [X2,X3,X4] :
( apply(X0,X2,X3)
& member(X4,X1)
& member(X3,X1)
& member(X2,X1)
& apply(X0,X3,X4)
& ~ apply(X0,X2,X4) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( equivalence(X0,X1)
| ? [X2,X4,X3] :
( ~ apply(X0,X2,X4)
& apply(X0,X3,X4)
& apply(X0,X2,X3)
& member(X3,X1)
& member(X2,X1)
& member(X4,X1) )
| ? [X7] :
( member(X7,X1)
& ~ apply(X0,X7,X7) )
| ? [X5,X6] :
( ~ apply(X0,X6,X5)
& apply(X0,X5,X6)
& member(X5,X1)
& member(X6,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( ! [X2,X4,X3] :
( ( member(X3,X1)
& member(X2,X1)
& member(X4,X1) )
=> ( ( apply(X0,X3,X4)
& apply(X0,X2,X3) )
=> apply(X0,X2,X4) ) )
& ! [X7] :
( member(X7,X1)
=> apply(X0,X7,X7) )
& ! [X5,X6] :
( ( member(X5,X1)
& member(X6,X1) )
=> ( apply(X0,X5,X6)
=> apply(X0,X6,X5) ) ) )
=> equivalence(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( equivalence(X0,X1)
<=> ( ! [X2,X4,X3] :
( ( member(X3,X1)
& member(X2,X1)
& member(X4,X1) )
=> ( ( apply(X0,X3,X4)
& apply(X0,X2,X3) )
=> apply(X0,X2,X4) ) )
& ! [X7] :
( member(X7,X1)
=> apply(X0,X7,X7) )
& ! [X5,X6] :
( ( member(X5,X1)
& member(X6,X1) )
=> ( apply(X0,X5,X6)
=> apply(X0,X6,X5) ) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X6,X0] :
( equivalence(X6,X0)
<=> ( ! [X2,X4,X5] :
( ( member(X2,X0)
& member(X5,X0)
& member(X4,X0) )
=> ( ( apply(X6,X4,X5)
& apply(X6,X2,X4) )
=> apply(X6,X2,X5) ) )
& ! [X2,X4] :
( ( member(X2,X0)
& member(X4,X0) )
=> ( apply(X6,X2,X4)
=> apply(X6,X4,X2) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X6,X2,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence) ).
fof(f236,plain,
( ~ apply(equal_set_predicate,sK9(power_set(sK2),equal_set_predicate),sK10(power_set(sK2),equal_set_predicate))
| spl11_7 ),
inference(resolution,[],[f209,f161]) ).
fof(f209,plain,
( ~ subset(sK10(power_set(sK2),equal_set_predicate),sK9(power_set(sK2),equal_set_predicate))
| spl11_7 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f234,plain,
( ~ spl11_5
| spl11_8 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f233,plain,
( $false
| ~ spl11_5
| spl11_8 ),
inference(subsumption_resolution,[],[f232,f184]) ).
fof(f184,plain,
( subset(sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl11_5
<=> subset(sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f232,plain,
( ~ subset(sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| spl11_8 ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f231,plain,
( ~ subset(sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| ~ subset(sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| spl11_8 ),
inference(resolution,[],[f224,f158]) ).
fof(f224,plain,
( ~ apply(equal_set_predicate,sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| spl11_8 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
( ~ spl11_8
| spl11_1
| spl11_6 ),
inference(avatar_split_clause,[],[f220,f203,f141,f222]) ).
fof(f203,plain,
( spl11_6
<=> subset(sK9(power_set(sK2),equal_set_predicate),sK10(power_set(sK2),equal_set_predicate)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f220,plain,
( sP0(equal_set_predicate,power_set(sK2))
| ~ apply(equal_set_predicate,sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| spl11_6 ),
inference(subsumption_resolution,[],[f219,f103]) ).
fof(f219,plain,
( ~ apply(equal_set_predicate,sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| equivalence(equal_set_predicate,power_set(sK2))
| sP0(equal_set_predicate,power_set(sK2))
| spl11_6 ),
inference(resolution,[],[f212,f123]) ).
fof(f212,plain,
( ~ apply(equal_set_predicate,sK9(power_set(sK2),equal_set_predicate),sK10(power_set(sK2),equal_set_predicate))
| spl11_6 ),
inference(resolution,[],[f205,f160]) ).
fof(f205,plain,
( ~ subset(sK9(power_set(sK2),equal_set_predicate),sK10(power_set(sK2),equal_set_predicate))
| spl11_6 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f210,plain,
( spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f201,f183,f207,f203,f141]) ).
fof(f201,plain,
( ~ subset(sK10(power_set(sK2),equal_set_predicate),sK9(power_set(sK2),equal_set_predicate))
| ~ subset(sK9(power_set(sK2),equal_set_predicate),sK10(power_set(sK2),equal_set_predicate))
| sP0(equal_set_predicate,power_set(sK2))
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f200,f184]) ).
fof(f200,plain,
( ~ subset(sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| ~ subset(sK9(power_set(sK2),equal_set_predicate),sK10(power_set(sK2),equal_set_predicate))
| sP0(equal_set_predicate,power_set(sK2))
| ~ subset(sK10(power_set(sK2),equal_set_predicate),sK9(power_set(sK2),equal_set_predicate)) ),
inference(resolution,[],[f199,f103]) ).
fof(f199,plain,
! [X0] :
( equivalence(equal_set_predicate,X0)
| ~ subset(sK9(X0,equal_set_predicate),sK10(X0,equal_set_predicate))
| ~ subset(sK10(X0,equal_set_predicate),sK9(X0,equal_set_predicate))
| sP0(equal_set_predicate,X0)
| ~ subset(sK8(X0,equal_set_predicate),sK8(X0,equal_set_predicate)) ),
inference(duplicate_literal_removal,[],[f198]) ).
fof(f198,plain,
! [X0] :
( equivalence(equal_set_predicate,X0)
| sP0(equal_set_predicate,X0)
| ~ subset(sK8(X0,equal_set_predicate),sK8(X0,equal_set_predicate))
| ~ subset(sK9(X0,equal_set_predicate),sK10(X0,equal_set_predicate))
| ~ subset(sK10(X0,equal_set_predicate),sK9(X0,equal_set_predicate))
| ~ subset(sK8(X0,equal_set_predicate),sK8(X0,equal_set_predicate)) ),
inference(resolution,[],[f165,f158]) ).
fof(f165,plain,
! [X1] :
( ~ apply(equal_set_predicate,sK8(X1,equal_set_predicate),sK8(X1,equal_set_predicate))
| ~ subset(sK10(X1,equal_set_predicate),sK9(X1,equal_set_predicate))
| equivalence(equal_set_predicate,X1)
| ~ subset(sK9(X1,equal_set_predicate),sK10(X1,equal_set_predicate))
| sP0(equal_set_predicate,X1) ),
inference(resolution,[],[f158,f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ apply(X1,sK10(X0,X1),sK9(X0,X1))
| sP0(X1,X0)
| equivalence(X1,X0)
| ~ apply(X1,sK8(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f194,plain,
spl11_5,
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| spl11_5 ),
inference(subsumption_resolution,[],[f192,f190]) ).
fof(f190,plain,
( ~ member(sK3(sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate)),sK8(power_set(sK2),equal_set_predicate))
| spl11_5 ),
inference(resolution,[],[f185,f105]) ).
fof(f185,plain,
( ~ subset(sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate))
| spl11_5 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f192,plain,
( member(sK3(sK8(power_set(sK2),equal_set_predicate),sK8(power_set(sK2),equal_set_predicate)),sK8(power_set(sK2),equal_set_predicate))
| spl11_5 ),
inference(resolution,[],[f185,f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET806+4 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:44:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.53 % (21540)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)
% 0.19/0.53 % (21523)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)
% 0.19/0.54 % (21542)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)
% 0.19/0.54 % (21523)Instruction limit reached!
% 0.19/0.54 % (21523)------------------------------
% 0.19/0.54 % (21523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (21523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (21523)Termination reason: Unknown
% 0.19/0.54 % (21523)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (21523)Memory used [KB]: 6140
% 0.19/0.54 % (21523)Time elapsed: 0.118 s
% 0.19/0.54 % (21523)Instructions burned: 13 (million)
% 0.19/0.54 % (21523)------------------------------
% 0.19/0.54 % (21523)------------------------------
% 1.26/0.54 % (21535)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)
% 1.26/0.54 % (21533)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)
% 1.26/0.54 % (21533)Refutation not found, incomplete strategy% (21533)------------------------------
% 1.26/0.54 % (21533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.54 % (21533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.54 % (21533)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.54
% 1.26/0.54 % (21533)Memory used [KB]: 6012
% 1.26/0.54 % (21533)Time elapsed: 0.127 s
% 1.26/0.54 % (21533)Instructions burned: 2 (million)
% 1.26/0.54 % (21533)------------------------------
% 1.26/0.54 % (21533)------------------------------
% 1.26/0.55 % (21535)Instruction limit reached!
% 1.26/0.55 % (21535)------------------------------
% 1.26/0.55 % (21535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.55 % (21535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.55 % (21535)Termination reason: Unknown
% 1.26/0.55 % (21535)Termination phase: Saturation
% 1.26/0.55
% 1.26/0.55 % (21535)Memory used [KB]: 6140
% 1.26/0.55 % (21535)Time elapsed: 0.055 s
% 1.26/0.55 % (21535)Instructions burned: 7 (million)
% 1.26/0.55 % (21535)------------------------------
% 1.26/0.55 % (21535)------------------------------
% 1.55/0.58 % (21524)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)
% 1.55/0.59 % (21526)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)
% 1.55/0.59 % (21520)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)
% 1.55/0.59 % (21521)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)
% 1.55/0.59 % (21521)Instruction limit reached!
% 1.55/0.59 % (21521)------------------------------
% 1.55/0.59 % (21521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59 % (21521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59 % (21521)Termination reason: Unknown
% 1.55/0.59 % (21521)Termination phase: Saturation
% 1.55/0.59
% 1.55/0.59 % (21521)Memory used [KB]: 6012
% 1.55/0.59 % (21521)Time elapsed: 0.004 s
% 1.55/0.59 % (21521)Instructions burned: 3 (million)
% 1.55/0.59 % (21521)------------------------------
% 1.55/0.59 % (21521)------------------------------
% 1.55/0.60 % (21551)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)
% 1.55/0.60 % (21549)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)
% 1.55/0.60 % (21540)Instruction limit reached!
% 1.55/0.60 % (21540)------------------------------
% 1.55/0.60 % (21540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60 % (21540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60 % (21540)Termination reason: Unknown
% 1.55/0.60 % (21540)Termination phase: Saturation
% 1.55/0.60
% 1.55/0.60 % (21540)Memory used [KB]: 6268
% 1.55/0.60 % (21540)Time elapsed: 0.184 s
% 1.55/0.60 % (21540)Instructions burned: 30 (million)
% 1.55/0.60 % (21540)------------------------------
% 1.55/0.60 % (21540)------------------------------
% 1.55/0.61 % (21527)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)
% 1.55/0.61 % (21522)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)
% 1.55/0.61 % (21544)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)
% 1.55/0.61 % (21531)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)
% 1.55/0.61 % (21522)Refutation not found, incomplete strategy% (21522)------------------------------
% 1.55/0.61 % (21522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.61 % (21522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.61 % (21522)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.61
% 1.55/0.61 % (21522)Memory used [KB]: 6012
% 1.55/0.61 % (21522)Time elapsed: 0.192 s
% 1.55/0.61 % (21522)Instructions burned: 2 (million)
% 1.55/0.61 % (21522)------------------------------
% 1.55/0.61 % (21522)------------------------------
% 1.55/0.61 % (21531)Refutation not found, incomplete strategy% (21531)------------------------------
% 1.55/0.61 % (21531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.61 % (21531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.61 % (21531)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.61
% 1.55/0.61 % (21531)Memory used [KB]: 6012
% 1.55/0.61 % (21531)Time elapsed: 0.189 s
% 1.55/0.61 % (21531)Instructions burned: 2 (million)
% 1.55/0.61 % (21531)------------------------------
% 1.55/0.61 % (21531)------------------------------
% 1.55/0.61 % (21524)Instruction limit reached!
% 1.55/0.61 % (21524)------------------------------
% 1.55/0.61 % (21524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.61 % (21524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.61 % (21524)Termination reason: Unknown
% 1.55/0.61 % (21524)Termination phase: Saturation
% 1.55/0.61
% 1.55/0.61 % (21524)Memory used [KB]: 1535
% 1.55/0.61 % (21524)Time elapsed: 0.193 s
% 1.55/0.61 % (21524)Instructions burned: 15 (million)
% 1.55/0.61 % (21524)------------------------------
% 1.55/0.61 % (21524)------------------------------
% 1.55/0.61 % (21548)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)
% 1.55/0.62 % (21520)Instruction limit reached!
% 1.55/0.62 % (21520)------------------------------
% 1.55/0.62 % (21520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.62 % (21520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.62 % (21520)Termination reason: Unknown
% 1.55/0.62 % (21520)Termination phase: Saturation
% 1.55/0.62
% 1.55/0.62 % (21520)Memory used [KB]: 6140
% 1.55/0.62 % (21520)Time elapsed: 0.201 s
% 1.55/0.62 % (21520)Instructions burned: 13 (million)
% 1.55/0.62 % (21520)------------------------------
% 1.55/0.62 % (21520)------------------------------
% 1.55/0.62 % (21538)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)
% 1.55/0.62 % (21538)Instruction limit reached!
% 1.55/0.62 % (21538)------------------------------
% 1.55/0.62 % (21538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.62 % (21541)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)
% 1.55/0.62 % (21538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.62 % (21538)Termination reason: Unknown
% 1.55/0.62 % (21538)Termination phase: Unused predicate definition removal
% 1.55/0.62
% 1.55/0.62 % (21538)Memory used [KB]: 1407
% 1.55/0.62 % (21538)Time elapsed: 0.003 s
% 1.55/0.62 % (21538)Instructions burned: 2 (million)
% 1.55/0.62 % (21538)------------------------------
% 1.55/0.62 % (21538)------------------------------
% 1.55/0.62 % (21537)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.55/0.62 % (21530)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)
% 1.55/0.62 % (21537)Instruction limit reached!
% 1.55/0.62 % (21537)------------------------------
% 1.55/0.62 % (21537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.62 % (21537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.62 % (21537)Termination reason: Unknown
% 1.55/0.62 % (21537)Termination phase: Finite model building preprocessing
% 1.55/0.62
% 1.55/0.62 % (21537)Memory used [KB]: 1535
% 1.55/0.62 % (21537)Time elapsed: 0.005 s
% 1.55/0.62 % (21537)Instructions burned: 4 (million)
% 1.55/0.62 % (21537)------------------------------
% 1.55/0.62 % (21537)------------------------------
% 1.55/0.62 % (21546)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)
% 1.55/0.62 % (21529)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)
% 1.55/0.63 % (21519)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.55/0.63 % (21534)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)
% 1.55/0.63 % (21534)Instruction limit reached!
% 1.55/0.63 % (21534)------------------------------
% 1.55/0.63 % (21534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.63 % (21534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.63 % (21534)Termination reason: Unknown
% 1.55/0.63 % (21534)Termination phase: Saturation
% 1.55/0.63
% 1.55/0.63 % (21534)Memory used [KB]: 6012
% 1.55/0.63 % (21534)Time elapsed: 0.005 s
% 1.55/0.63 % (21534)Instructions burned: 3 (million)
% 1.55/0.63 % (21534)------------------------------
% 1.55/0.63 % (21534)------------------------------
% 1.55/0.63 % (21529)Refutation not found, incomplete strategy% (21529)------------------------------
% 1.55/0.63 % (21529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.63 % (21529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.63 % (21529)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.63
% 1.55/0.63 % (21529)Memory used [KB]: 6012
% 1.55/0.63 % (21550)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)
% 1.55/0.63 % (21529)Time elapsed: 0.207 s
% 1.55/0.63 % (21529)Instructions burned: 3 (million)
% 1.55/0.63 % (21529)------------------------------
% 1.55/0.63 % (21529)------------------------------
% 1.55/0.63 % (21548)First to succeed.
% 1.55/0.64 % (21543)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)
% 1.55/0.64 % (21543)Refutation not found, incomplete strategy% (21543)------------------------------
% 1.55/0.64 % (21543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.64 % (21543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.64 % (21543)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.64
% 1.55/0.64 % (21543)Memory used [KB]: 1407
% 1.55/0.64 % (21543)Time elapsed: 0.219 s
% 1.55/0.64 % (21543)Instructions burned: 3 (million)
% 1.55/0.64 % (21543)------------------------------
% 1.55/0.64 % (21543)------------------------------
% 1.55/0.64 % (21526)Also succeeded, but the first one will report.
% 1.55/0.64 % (21548)Refutation found. Thanks to Tanya!
% 1.55/0.64 % SZS status Theorem for theBenchmark
% 1.55/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.64 % (21548)------------------------------
% 1.55/0.64 % (21548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.64 % (21548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.64 % (21548)Termination reason: Refutation
% 1.55/0.64
% 1.55/0.64 % (21548)Memory used [KB]: 6268
% 1.55/0.64 % (21548)Time elapsed: 0.207 s
% 1.55/0.64 % (21548)Instructions burned: 10 (million)
% 1.55/0.64 % (21548)------------------------------
% 1.55/0.64 % (21548)------------------------------
% 1.55/0.64 % (21513)Success in time 0.278 s
%------------------------------------------------------------------------------