TSTP Solution File: SET810+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET810+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 : n020.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 18:22:20 EDT 2022
% Result : Theorem 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 75 ( 12 unt; 0 def)
% Number of atoms : 367 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 440 ( 148 ~; 127 |; 124 &)
% ( 19 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 205 ( 162 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f455,plain,
$false,
inference(avatar_sat_refutation,[],[f431,f454]) ).
fof(f454,plain,
spl15_10,
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| spl15_10 ),
inference(subsumption_resolution,[],[f450,f143]) ).
fof(f143,plain,
strict_well_order(member_predicate,sK12),
inference(resolution,[],[f107,f79]) ).
fof(f79,plain,
! [X0] :
( ~ member(X0,on)
| strict_well_order(member_predicate,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ( member(sK1(X0),X0)
& ~ subset(sK1(X0),X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X2] :
( ~ member(X2,X0)
| subset(X2,X0) ) )
| ~ member(X0,on) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f45,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ~ subset(X1,X0) )
=> ( member(sK1(X0),X0)
& ~ subset(sK1(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ? [X1] :
( member(X1,X0)
& ~ subset(X1,X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X2] :
( ~ member(X2,X0)
| subset(X2,X0) ) )
| ~ member(X0,on) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ? [X1] :
( member(X1,X0)
& ~ subset(X1,X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( ~ member(X1,X0)
| subset(X1,X0) ) )
| ~ member(X0,on) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( member(X0,on)
| ~ set(X0)
| ~ strict_well_order(member_predicate,X0)
| ? [X1] :
( member(X1,X0)
& ~ subset(X1,X0) ) )
& ( ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( ~ member(X1,X0)
| subset(X1,X0) ) )
| ~ member(X0,on) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( member(X0,on)
<=> ( set(X0)
& strict_well_order(member_predicate,X0)
& ! [X1] :
( ~ member(X1,X0)
| subset(X1,X0) ) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( set(X0)
& ! [X1] :
( member(X1,X0)
=> subset(X1,X0) )
& strict_well_order(member_predicate,X0) )
<=> member(X0,on) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( member(X0,on)
<=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X0) )
& strict_well_order(member_predicate,X0)
& set(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal_number) ).
fof(f107,plain,
member(sK12,on),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( member(sK11,on)
& member(sK12,sK11)
& member(sK12,on)
& member(sK11,sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f69,f70]) ).
fof(f70,plain,
( ? [X0,X1] :
( member(X0,on)
& member(X1,X0)
& member(X1,on)
& member(X0,X1) )
=> ( member(sK11,on)
& member(sK12,sK11)
& member(sK12,on)
& member(sK11,sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
? [X0,X1] :
( member(X0,on)
& member(X1,X0)
& member(X1,on)
& member(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X1,X0] :
( member(X1,on)
& member(X0,X1)
& member(X0,on)
& member(X1,X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X1,X0] :
( member(X1,X0)
& member(X0,X1)
& member(X0,on)
& member(X1,on) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X1,X0] :
( ( member(X0,on)
& member(X1,on) )
=> ~ ( member(X1,X0)
& member(X0,X1) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X1,X0] :
( ( member(X1,on)
& member(X0,on) )
=> ~ ( member(X1,X0)
& member(X0,X1) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X1,X0] :
( ( member(X1,on)
& member(X0,on) )
=> ~ ( member(X1,X0)
& member(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thV3) ).
fof(f450,plain,
( ~ strict_well_order(member_predicate,sK12)
| spl15_10 ),
inference(resolution,[],[f424,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ strict_well_order(X0,X1)
| strict_order(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( ( strict_order(X0,X1)
& ! [X2] :
( ! [X3] : ~ member(X3,X2)
| least(sK8(X0,X2),X0,X2)
| ~ subset(X2,X1) ) )
| ~ strict_well_order(X0,X1) )
& ( strict_well_order(X0,X1)
| ~ strict_order(X0,X1)
| ( member(sK10(X0,X1),sK9(X0,X1))
& ! [X7] : ~ least(X7,X0,sK9(X0,X1))
& subset(sK9(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f64,f67,f66,f65]) ).
fof(f65,plain,
! [X0,X2] :
( ? [X4] : least(X4,X0,X2)
=> least(sK8(X0,X2),X0,X2) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X5] :
( ? [X6] : member(X6,X5)
& ! [X7] : ~ least(X7,X0,X5)
& subset(X5,X1) )
=> ( ? [X6] : member(X6,sK9(X0,X1))
& ! [X7] : ~ least(X7,X0,sK9(X0,X1))
& subset(sK9(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X6] : member(X6,sK9(X0,X1))
=> member(sK10(X0,X1),sK9(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ( ( strict_order(X0,X1)
& ! [X2] :
( ! [X3] : ~ member(X3,X2)
| ? [X4] : least(X4,X0,X2)
| ~ subset(X2,X1) ) )
| ~ strict_well_order(X0,X1) )
& ( strict_well_order(X0,X1)
| ~ strict_order(X0,X1)
| ? [X5] :
( ? [X6] : member(X6,X5)
& ! [X7] : ~ least(X7,X0,X5)
& subset(X5,X1) ) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ( ( strict_order(X1,X0)
& ! [X2] :
( ! [X3] : ~ member(X3,X2)
| ? [X4] : least(X4,X1,X2)
| ~ subset(X2,X0) ) )
| ~ strict_well_order(X1,X0) )
& ( strict_well_order(X1,X0)
| ~ strict_order(X1,X0)
| ? [X2] :
( ? [X3] : member(X3,X2)
& ! [X4] : ~ least(X4,X1,X2)
& subset(X2,X0) ) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ( ( strict_order(X1,X0)
& ! [X2] :
( ! [X3] : ~ member(X3,X2)
| ? [X4] : least(X4,X1,X2)
| ~ subset(X2,X0) ) )
| ~ strict_well_order(X1,X0) )
& ( strict_well_order(X1,X0)
| ~ strict_order(X1,X0)
| ? [X2] :
( ? [X3] : member(X3,X2)
& ! [X4] : ~ least(X4,X1,X2)
& subset(X2,X0) ) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( strict_order(X1,X0)
& ! [X2] :
( ! [X3] : ~ member(X3,X2)
| ? [X4] : least(X4,X1,X2)
| ~ subset(X2,X0) ) )
<=> strict_well_order(X1,X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ( strict_order(X1,X0)
& ! [X2] :
( ? [X4] : least(X4,X1,X2)
| ! [X3] : ~ member(X3,X2)
| ~ subset(X2,X0) ) )
<=> strict_well_order(X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ( strict_order(X1,X0)
& ! [X2] :
( ( ? [X3] : member(X3,X2)
& subset(X2,X0) )
=> ? [X4] : least(X4,X1,X2) ) )
<=> strict_well_order(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X5] :
( ( ! [X0] :
( ( ? [X2] : member(X2,X0)
& subset(X0,X3) )
=> ? [X4] : least(X4,X5,X0) )
& strict_order(X5,X3) )
<=> strict_well_order(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strict_well_order) ).
fof(f424,plain,
( ~ strict_order(member_predicate,sK12)
| spl15_10 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl15_10
<=> strict_order(member_predicate,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f431,plain,
~ spl15_10,
inference(avatar_split_clause,[],[f430,f422]) ).
fof(f430,plain,
~ strict_order(member_predicate,sK12),
inference(subsumption_resolution,[],[f429,f314]) ).
fof(f314,plain,
member(sK12,sK12),
inference(resolution,[],[f278,f185]) ).
fof(f185,plain,
! [X0] :
( ~ subset(sK11,X0)
| member(sK12,X0) ),
inference(resolution,[],[f108,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f49,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f108,plain,
member(sK12,sK11),
inference(cnf_transformation,[],[f71]) ).
fof(f278,plain,
subset(sK11,sK12),
inference(resolution,[],[f142,f106]) ).
fof(f106,plain,
member(sK11,sK12),
inference(cnf_transformation,[],[f71]) ).
fof(f142,plain,
! [X0] :
( ~ member(X0,sK12)
| subset(X0,sK12) ),
inference(resolution,[],[f107,f78]) ).
fof(f78,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ member(X0,on)
| subset(X2,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f429,plain,
( ~ strict_order(member_predicate,sK12)
| ~ member(sK12,sK12) ),
inference(subsumption_resolution,[],[f407,f191]) ).
fof(f191,plain,
apply(member_predicate,sK12,sK11),
inference(resolution,[],[f108,f99]) ).
fof(f99,plain,
! [X0,X1] :
( apply(member_predicate,X1,X0)
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( member(X1,X0)
| ~ apply(member_predicate,X1,X0) )
& ( apply(member_predicate,X1,X0)
| ~ member(X1,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( member(X1,X0)
<=> apply(member_predicate,X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X2] :
( member(X2,X4)
<=> apply(member_predicate,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rel_member) ).
fof(f407,plain,
( ~ strict_order(member_predicate,sK12)
| ~ apply(member_predicate,sK12,sK11)
| ~ member(sK12,sK12) ),
inference(resolution,[],[f125,f127]) ).
fof(f127,plain,
apply(member_predicate,sK11,sK12),
inference(resolution,[],[f106,f99]) ).
fof(f125,plain,
! [X10,X11] :
( ~ apply(X10,sK11,X11)
| ~ apply(X10,X11,sK11)
| ~ strict_order(X10,sK12)
| ~ member(X11,sK12) ),
inference(resolution,[],[f106,f93]) ).
fof(f93,plain,
! [X0,X1,X4,X5] :
( ~ member(X5,X1)
| ~ apply(X0,X4,X5)
| ~ strict_order(X0,X1)
| ~ apply(X0,X5,X4)
| ~ member(X4,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( strict_order(X0,X1)
| ~ sP0(X1,X0)
| ( apply(X0,sK7(X0,X1),sK6(X0,X1))
& member(sK6(X0,X1),X1)
& member(sK7(X0,X1),X1)
& apply(X0,sK6(X0,X1),sK7(X0,X1)) ) )
& ( ( sP0(X1,X0)
& ! [X4,X5] :
( ~ apply(X0,X5,X4)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ apply(X0,X4,X5) ) )
| ~ strict_order(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f58,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X2,X3] :
( apply(X0,X3,X2)
& member(X2,X1)
& member(X3,X1)
& apply(X0,X2,X3) )
=> ( apply(X0,sK7(X0,X1),sK6(X0,X1))
& member(sK6(X0,X1),X1)
& member(sK7(X0,X1),X1)
& apply(X0,sK6(X0,X1),sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ( strict_order(X0,X1)
| ~ sP0(X1,X0)
| ? [X2,X3] :
( apply(X0,X3,X2)
& member(X2,X1)
& member(X3,X1)
& apply(X0,X2,X3) ) )
& ( ( sP0(X1,X0)
& ! [X4,X5] :
( ~ apply(X0,X5,X4)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ apply(X0,X4,X5) ) )
| ~ strict_order(X0,X1) ) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( ( strict_order(X1,X0)
| ~ sP0(X0,X1)
| ? [X2,X3] :
( apply(X1,X3,X2)
& member(X2,X0)
& member(X3,X0)
& apply(X1,X2,X3) ) )
& ( ( sP0(X0,X1)
& ! [X2,X3] :
( ~ apply(X1,X3,X2)
| ~ member(X2,X0)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3) ) )
| ~ strict_order(X1,X0) ) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( strict_order(X1,X0)
| ~ sP0(X0,X1)
| ? [X2,X3] :
( apply(X1,X3,X2)
& member(X2,X0)
& member(X3,X0)
& apply(X1,X2,X3) ) )
& ( ( sP0(X0,X1)
& ! [X2,X3] :
( ~ apply(X1,X3,X2)
| ~ member(X2,X0)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3) ) )
| ~ strict_order(X1,X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( strict_order(X1,X0)
<=> ( sP0(X0,X1)
& ! [X2,X3] :
( ~ apply(X1,X3,X2)
| ~ member(X2,X0)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3) ) ) ),
inference(definition_folding,[],[f35,f41]) ).
fof(f41,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X5,X4,X6] :
( ~ member(X5,X0)
| ~ member(X6,X0)
| apply(X1,X5,X4)
| ~ member(X4,X0)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f35,plain,
! [X1,X0] :
( strict_order(X1,X0)
<=> ( ! [X5,X4,X6] :
( ~ member(X5,X0)
| ~ member(X6,X0)
| apply(X1,X5,X4)
| ~ member(X4,X0)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X4) )
& ! [X2,X3] :
( ~ apply(X1,X3,X2)
| ~ member(X2,X0)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3) ) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ( ! [X6,X5,X4] :
( apply(X1,X5,X4)
| ~ apply(X1,X6,X4)
| ~ apply(X1,X5,X6)
| ~ member(X4,X0)
| ~ member(X5,X0)
| ~ member(X6,X0) )
& ! [X3,X2] :
( ~ apply(X1,X2,X3)
| ~ apply(X1,X3,X2)
| ~ member(X2,X0)
| ~ member(X3,X0) ) )
<=> strict_order(X1,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ( ! [X6,X5,X4] :
( ( member(X4,X0)
& member(X5,X0)
& member(X6,X0) )
=> ( ( apply(X1,X6,X4)
& apply(X1,X5,X6) )
=> apply(X1,X5,X4) ) )
& ! [X3,X2] :
( ( member(X2,X0)
& member(X3,X0) )
=> ~ ( apply(X1,X2,X3)
& apply(X1,X3,X2) ) ) )
<=> strict_order(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X5] :
( strict_order(X5,X3)
<=> ( ! [X2,X4] :
( ( member(X2,X3)
& member(X4,X3) )
=> ~ ( apply(X5,X2,X4)
& apply(X5,X4,X2) ) )
& ! [X7,X2,X4] :
( ( member(X4,X3)
& member(X7,X3)
& member(X2,X3) )
=> ( ( apply(X5,X2,X4)
& apply(X5,X4,X7) )
=> apply(X5,X2,X7) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strict_order) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET810+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.14 % 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 : n020.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 14:23:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.50 % (22373)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)
% 0.22/0.50 % (22381)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)
% 0.22/0.51 % (22373)Instruction limit reached!
% 0.22/0.51 % (22373)------------------------------
% 0.22/0.51 % (22373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (22373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (22373)Termination reason: Unknown
% 0.22/0.51 % (22373)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (22373)Memory used [KB]: 1535
% 0.22/0.51 % (22373)Time elapsed: 0.005 s
% 0.22/0.51 % (22373)Instructions burned: 3 (million)
% 0.22/0.51 % (22373)------------------------------
% 0.22/0.51 % (22373)------------------------------
% 0.22/0.51 % (22365)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)
% 0.22/0.52 % (22361)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)
% 0.22/0.52 % (22362)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)
% 0.22/0.53 % (22362)Refutation not found, incomplete strategy% (22362)------------------------------
% 0.22/0.53 % (22362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (22385)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)
% 0.22/0.53 % (22362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (22362)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (22362)Memory used [KB]: 5884
% 0.22/0.53 % (22362)Time elapsed: 0.119 s
% 0.22/0.53 % (22382)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)
% 0.22/0.53 % (22362)------------------------------
% 0.22/0.53 % (22362)------------------------------
% 0.22/0.53 % (22364)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)
% 0.22/0.53 % (22383)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)
% 0.22/0.53 % (22377)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)
% 0.22/0.53 % (22359)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 % (22386)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)
% 0.22/0.53 % (22377)Instruction limit reached!
% 0.22/0.53 % (22377)------------------------------
% 0.22/0.53 % (22377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (22363)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)
% 0.22/0.53 % (22360)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 % (22388)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)
% 0.22/0.53 % (22376)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.54 % (22364)Refutation not found, incomplete strategy% (22364)------------------------------
% 0.22/0.54 % (22364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (22385)Refutation not found, incomplete strategy% (22385)------------------------------
% 0.22/0.54 % (22385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (22377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (22377)Termination reason: Unknown
% 0.22/0.54 % (22377)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (22377)Memory used [KB]: 1407
% 0.22/0.54 % (22377)Time elapsed: 0.003 s
% 0.22/0.54 % (22377)Instructions burned: 2 (million)
% 0.22/0.54 % (22377)------------------------------
% 0.22/0.54 % (22377)------------------------------
% 0.22/0.54 % (22378)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)
% 0.22/0.54 % (22369)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)
% 0.22/0.54 % (22378)Refutation not found, incomplete strategy% (22378)------------------------------
% 0.22/0.54 % (22378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (22380)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)
% 0.22/0.54 % (22364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (22364)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (22364)Memory used [KB]: 1535
% 0.22/0.54 % (22364)Time elapsed: 0.127 s
% 0.22/0.54 % (22364)Instructions burned: 2 (million)
% 0.22/0.54 % (22364)------------------------------
% 0.22/0.54 % (22364)------------------------------
% 0.22/0.54 % (22384)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)
% 0.22/0.54 % (22361)Instruction limit reached!
% 0.22/0.54 % (22361)------------------------------
% 0.22/0.54 % (22361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (22361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (22361)Termination reason: Unknown
% 0.22/0.54 % (22361)Termination phase: Property scanning
% 0.22/0.54
% 0.22/0.54 % (22361)Memory used [KB]: 1535
% 0.22/0.54 % (22361)Time elapsed: 0.003 s
% 0.22/0.54 % (22361)Instructions burned: 3 (million)
% 0.22/0.54 % (22361)------------------------------
% 0.22/0.54 % (22361)------------------------------
% 0.22/0.54 % (22372)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 % (22360)Instruction limit reached!
% 0.22/0.54 % (22360)------------------------------
% 0.22/0.54 % (22360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (22368)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)
% 0.22/0.54 % (22369)First to succeed.
% 0.22/0.54 % (22385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (22385)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (22385)Memory used [KB]: 6140
% 0.22/0.54 % (22385)Time elapsed: 0.131 s
% 0.22/0.54 % (22385)Instructions burned: 5 (million)
% 0.22/0.54 % (22385)------------------------------
% 0.22/0.54 % (22385)------------------------------
% 0.22/0.54 % (22374)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 % (22375)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)
% 0.22/0.54 % (22363)Instruction limit reached!
% 0.22/0.54 % (22363)------------------------------
% 0.22/0.54 % (22363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (22367)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 % (22370)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 % (22366)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)
% 0.22/0.55 % (22375)Refutation not found, incomplete strategy% (22375)------------------------------
% 0.22/0.55 % (22375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (22371)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)
% 0.22/0.55 % (22378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (22378)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55
% 0.22/0.55 % (22378)Memory used [KB]: 5884
% 0.22/0.55 % (22378)Time elapsed: 0.132 s
% 0.22/0.55 % (22378)Instructions burned: 2 (million)
% 0.22/0.55 % (22378)------------------------------
% 0.22/0.55 % (22378)------------------------------
% 0.22/0.55 % (22374)Instruction limit reached!
% 0.22/0.55 % (22374)------------------------------
% 0.22/0.55 % (22374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (22376)Instruction limit reached!
% 0.22/0.55 % (22376)------------------------------
% 0.22/0.55 % (22376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (22369)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Theorem for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55 % (22369)------------------------------
% 0.22/0.55 % (22369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (22369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (22369)Termination reason: Refutation
% 0.22/0.55
% 0.22/0.55 % (22369)Memory used [KB]: 6140
% 0.22/0.55 % (22369)Time elapsed: 0.149 s
% 0.22/0.55 % (22369)Instructions burned: 9 (million)
% 0.22/0.55 % (22369)------------------------------
% 0.22/0.55 % (22369)------------------------------
% 0.22/0.55 % (22358)Success in time 0.191 s
%------------------------------------------------------------------------------