TSTP Solution File: SEU181+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU181+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 : n011.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 18:27:10 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 131 ( 7 unt; 0 def)
% Number of atoms : 480 ( 64 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 596 ( 247 ~; 269 |; 39 &)
% ( 24 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 245 ( 211 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f435,plain,
$false,
inference(avatar_sat_refutation,[],[f208,f246,f297,f324,f353,f357,f363,f402,f403,f409,f434]) ).
fof(f434,plain,
( spl17_8
| ~ spl17_9
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f433,plain,
( $false
| spl17_8
| ~ spl17_9
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f432,f304]) ).
fof(f304,plain,
( ~ in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1)))
| spl17_8 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f303,plain,
( spl17_8
<=> in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f432,plain,
( in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1)))
| ~ spl17_9
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f427,f387]) ).
fof(f387,plain,
( relation(relation_inverse(sK1))
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl17_13
<=> relation(relation_inverse(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f427,plain,
( ~ relation(relation_inverse(sK1))
| in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1)))
| ~ spl17_9 ),
inference(resolution,[],[f417,f177]) ).
fof(f177,plain,
! [X2,X3,X0] :
( ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| ~ relation(X0)
| in(X2,relation_dom(X0)) ),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f125,f136]) ).
fof(f136,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(ordered_pair(X2,X3),X0)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,sK3(X0,X2)),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ! [X6] : ~ in(ordered_pair(sK4(X0,X1),X6),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f79,f82,f81,f80]) ).
fof(f80,plain,
! [X0,X2] :
( ? [X4] : in(ordered_pair(X2,X4),X0)
=> in(ordered_pair(X2,sK3(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) )
=> ( ( ! [X6] : ~ in(ordered_pair(sK4(X0,X1),X6),X0)
| ~ in(sK4(X0,X1),X1) )
& ( ? [X7] : in(ordered_pair(sK4(X0,X1),X7),X0)
| in(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK4(X0,X1),X7),X0)
=> in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) ) ) ) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f417,plain,
( in(unordered_pair(unordered_pair(sK10(sK1,relation_dom(relation_inverse(sK1))),sK11(sK1,relation_dom(relation_inverse(sK1)))),singleton(sK10(sK1,relation_dom(relation_inverse(sK1))))),relation_inverse(sK1))
| ~ spl17_9 ),
inference(subsumption_resolution,[],[f412,f119]) ).
fof(f119,plain,
relation(sK1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( relation_dom(sK1) != relation_rng(relation_inverse(sK1))
| relation_rng(sK1) != relation_dom(relation_inverse(sK1)) )
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f55,f74]) ).
fof(f74,plain,
( ? [X0] :
( ( relation_dom(X0) != relation_rng(relation_inverse(X0))
| relation_rng(X0) != relation_dom(relation_inverse(X0)) )
& relation(X0) )
=> ( ( relation_dom(sK1) != relation_rng(relation_inverse(sK1))
| relation_rng(sK1) != relation_dom(relation_inverse(sK1)) )
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ( relation_dom(X0) != relation_rng(relation_inverse(X0))
| relation_rng(X0) != relation_dom(relation_inverse(X0)) )
& relation(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X0] :
( relation(X0)
=> ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f412,plain,
( in(unordered_pair(unordered_pair(sK10(sK1,relation_dom(relation_inverse(sK1))),sK11(sK1,relation_dom(relation_inverse(sK1)))),singleton(sK10(sK1,relation_dom(relation_inverse(sK1))))),relation_inverse(sK1))
| ~ relation(sK1)
| ~ spl17_9 ),
inference(resolution,[],[f309,f232]) ).
fof(f232,plain,
! [X2,X3,X0] :
( ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),relation_inverse(X0)) ),
inference(subsumption_resolution,[],[f182,f151]) ).
fof(f151,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( relation(X0)
=> relation(relation_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f182,plain,
! [X2,X3,X0] :
( ~ relation(relation_inverse(X0))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),relation_inverse(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f174]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| relation_inverse(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f149,f136,f136]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X2,X3),X0)
| relation_inverse(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X1) )
& ( in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X2,X3),X0) ) )
| relation_inverse(X0) != X1 )
& ( relation_inverse(X0) = X1
| ( ( ~ in(ordered_pair(sK13(X0,X1),sK12(X0,X1)),X1)
| ~ in(ordered_pair(sK12(X0,X1),sK13(X0,X1)),X0) )
& ( in(ordered_pair(sK13(X0,X1),sK12(X0,X1)),X1)
| in(ordered_pair(sK12(X0,X1),sK13(X0,X1)),X0) ) ) ) )
| ~ relation(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f102,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X4,X5] :
( ( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X4,X5),X0) )
& ( in(ordered_pair(X5,X4),X1)
| in(ordered_pair(X4,X5),X0) ) )
=> ( ( ~ in(ordered_pair(sK13(X0,X1),sK12(X0,X1)),X1)
| ~ in(ordered_pair(sK12(X0,X1),sK13(X0,X1)),X0) )
& ( in(ordered_pair(sK13(X0,X1),sK12(X0,X1)),X1)
| in(ordered_pair(sK12(X0,X1),sK13(X0,X1)),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X1) )
& ( in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X2,X3),X0) ) )
| relation_inverse(X0) != X1 )
& ( relation_inverse(X0) = X1
| ? [X4,X5] :
( ( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X4,X5),X0) )
& ( in(ordered_pair(X5,X4),X1)
| in(ordered_pair(X4,X5),X0) ) ) ) )
| ~ relation(X1) ) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X1) )
& ( in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X2,X3),X0) ) )
| relation_inverse(X0) != X1 )
& ( relation_inverse(X0) = X1
| ? [X2,X3] :
( ( ~ in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X3,X2),X1)
| in(ordered_pair(X2,X3),X0) ) ) ) )
| ~ relation(X1) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X3,X2),X1) )
<=> relation_inverse(X0) = X1 )
| ~ relation(X1) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X3,X2),X1) )
<=> relation_inverse(X0) = X1 ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( ! [X3,X2] :
( in(ordered_pair(X3,X2),X0)
<=> in(ordered_pair(X2,X3),X1) )
<=> relation_inverse(X0) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_relat_1) ).
fof(f309,plain,
( in(unordered_pair(unordered_pair(sK11(sK1,relation_dom(relation_inverse(sK1))),sK10(sK1,relation_dom(relation_inverse(sK1)))),singleton(sK11(sK1,relation_dom(relation_inverse(sK1))))),sK1)
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f307,plain,
( spl17_9
<=> in(unordered_pair(unordered_pair(sK11(sK1,relation_dom(relation_inverse(sK1))),sK10(sK1,relation_dom(relation_inverse(sK1)))),singleton(sK11(sK1,relation_dom(relation_inverse(sK1))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f409,plain,
( spl17_9
| spl17_2
| spl17_8 ),
inference(avatar_split_clause,[],[f408,f303,f205,f307]) ).
fof(f205,plain,
( spl17_2
<=> sQ16_eqProxy(relation_rng(sK1),relation_dom(relation_inverse(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f408,plain,
( in(unordered_pair(unordered_pair(sK11(sK1,relation_dom(relation_inverse(sK1))),sK10(sK1,relation_dom(relation_inverse(sK1)))),singleton(sK11(sK1,relation_dom(relation_inverse(sK1))))),sK1)
| spl17_2
| spl17_8 ),
inference(subsumption_resolution,[],[f407,f304]) ).
fof(f407,plain,
( in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1)))
| in(unordered_pair(unordered_pair(sK11(sK1,relation_dom(relation_inverse(sK1))),sK10(sK1,relation_dom(relation_inverse(sK1)))),singleton(sK11(sK1,relation_dom(relation_inverse(sK1))))),sK1)
| spl17_2 ),
inference(subsumption_resolution,[],[f404,f119]) ).
fof(f404,plain,
( in(unordered_pair(unordered_pair(sK11(sK1,relation_dom(relation_inverse(sK1))),sK10(sK1,relation_dom(relation_inverse(sK1)))),singleton(sK11(sK1,relation_dom(relation_inverse(sK1))))),sK1)
| ~ relation(sK1)
| in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1)))
| spl17_2 ),
inference(resolution,[],[f207,f192]) ).
fof(f192,plain,
! [X0,X1] :
( sQ16_eqProxy(relation_rng(X0),X1)
| in(sK10(X0,X1),X1)
| in(unordered_pair(unordered_pair(sK11(X0,X1),sK10(X0,X1)),singleton(sK11(X0,X1))),X0)
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f172,f185]) ).
fof(f185,plain,
! [X0,X1] :
( sQ16_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ16_eqProxy])]) ).
fof(f172,plain,
! [X0,X1] :
( relation_rng(X0) = X1
| in(sK10(X0,X1),X1)
| in(unordered_pair(unordered_pair(sK11(X0,X1),sK10(X0,X1)),singleton(sK11(X0,X1))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f141,f136]) ).
fof(f141,plain,
! [X0,X1] :
( relation_rng(X0) = X1
| in(sK10(X0,X1),X1)
| in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(ordered_pair(sK9(X0,X2),X2),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X4,X2),X0) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ~ in(sK10(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(X6,sK10(X0,X1)),X0) )
& ( in(sK10(X0,X1),X1)
| in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f95,f98,f97,f96]) ).
fof(f96,plain,
! [X0,X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
=> in(ordered_pair(sK9(X0,X2),X2),X0) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X7,X5),X0) ) )
=> ( ( ~ in(sK10(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(X6,sK10(X0,X1)),X0) )
& ( in(sK10(X0,X1),X1)
| ? [X7] : in(ordered_pair(X7,sK10(X0,X1)),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(X7,sK10(X0,X1)),X0)
=> in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X4,X2),X0) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X7,X5),X0) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f207,plain,
( ~ sQ16_eqProxy(relation_rng(sK1),relation_dom(relation_inverse(sK1)))
| spl17_2 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f403,plain,
( spl17_5
| ~ spl17_13
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f380,f250,f386,f240]) ).
fof(f240,plain,
( spl17_5
<=> in(sK4(sK1,relation_rng(relation_inverse(sK1))),relation_rng(relation_inverse(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f250,plain,
( spl17_7
<=> in(unordered_pair(unordered_pair(sK4(sK1,relation_rng(relation_inverse(sK1))),sK5(sK1,relation_rng(relation_inverse(sK1)))),singleton(sK4(sK1,relation_rng(relation_inverse(sK1))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f380,plain,
( ~ relation(relation_inverse(sK1))
| in(sK4(sK1,relation_rng(relation_inverse(sK1))),relation_rng(relation_inverse(sK1)))
| ~ spl17_7 ),
inference(resolution,[],[f371,f180]) ).
fof(f180,plain,
! [X2,X0,X4] :
( ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X0)
| in(X2,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f170]) ).
fof(f170,plain,
! [X2,X0,X1,X4] :
( in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f143,f136]) ).
fof(f143,plain,
! [X2,X0,X1,X4] :
( in(X2,X1)
| ~ in(ordered_pair(X4,X2),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f371,plain,
( in(unordered_pair(unordered_pair(sK5(sK1,relation_rng(relation_inverse(sK1))),sK4(sK1,relation_rng(relation_inverse(sK1)))),singleton(sK5(sK1,relation_rng(relation_inverse(sK1))))),relation_inverse(sK1))
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f364,f119]) ).
fof(f364,plain,
( in(unordered_pair(unordered_pair(sK5(sK1,relation_rng(relation_inverse(sK1))),sK4(sK1,relation_rng(relation_inverse(sK1)))),singleton(sK5(sK1,relation_rng(relation_inverse(sK1))))),relation_inverse(sK1))
| ~ relation(sK1)
| ~ spl17_7 ),
inference(resolution,[],[f252,f232]) ).
fof(f252,plain,
( in(unordered_pair(unordered_pair(sK4(sK1,relation_rng(relation_inverse(sK1))),sK5(sK1,relation_rng(relation_inverse(sK1)))),singleton(sK4(sK1,relation_rng(relation_inverse(sK1))))),sK1)
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f402,plain,
spl17_13,
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f401,plain,
( $false
| spl17_13 ),
inference(subsumption_resolution,[],[f400,f119]) ).
fof(f400,plain,
( ~ relation(sK1)
| spl17_13 ),
inference(resolution,[],[f388,f151]) ).
fof(f388,plain,
( ~ relation(relation_inverse(sK1))
| spl17_13 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f363,plain,
( spl17_7
| spl17_1
| spl17_5 ),
inference(avatar_split_clause,[],[f362,f240,f201,f250]) ).
fof(f201,plain,
( spl17_1
<=> sQ16_eqProxy(relation_dom(sK1),relation_rng(relation_inverse(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f362,plain,
( in(unordered_pair(unordered_pair(sK4(sK1,relation_rng(relation_inverse(sK1))),sK5(sK1,relation_rng(relation_inverse(sK1)))),singleton(sK4(sK1,relation_rng(relation_inverse(sK1))))),sK1)
| spl17_1
| spl17_5 ),
inference(subsumption_resolution,[],[f361,f242]) ).
fof(f242,plain,
( ~ in(sK4(sK1,relation_rng(relation_inverse(sK1))),relation_rng(relation_inverse(sK1)))
| spl17_5 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f361,plain,
( in(sK4(sK1,relation_rng(relation_inverse(sK1))),relation_rng(relation_inverse(sK1)))
| in(unordered_pair(unordered_pair(sK4(sK1,relation_rng(relation_inverse(sK1))),sK5(sK1,relation_rng(relation_inverse(sK1)))),singleton(sK4(sK1,relation_rng(relation_inverse(sK1))))),sK1)
| spl17_1 ),
inference(subsumption_resolution,[],[f358,f119]) ).
fof(f358,plain,
( ~ relation(sK1)
| in(sK4(sK1,relation_rng(relation_inverse(sK1))),relation_rng(relation_inverse(sK1)))
| in(unordered_pair(unordered_pair(sK4(sK1,relation_rng(relation_inverse(sK1))),sK5(sK1,relation_rng(relation_inverse(sK1)))),singleton(sK4(sK1,relation_rng(relation_inverse(sK1))))),sK1)
| spl17_1 ),
inference(resolution,[],[f203,f188]) ).
fof(f188,plain,
! [X0,X1] :
( sQ16_eqProxy(relation_dom(X0),X1)
| in(sK4(X0,X1),X1)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X0) ),
inference(equality_proxy_replacement,[],[f167,f185]) ).
fof(f167,plain,
! [X0,X1] :
( ~ relation(X0)
| relation_dom(X0) = X1
| in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X0)
| in(sK4(X0,X1),X1) ),
inference(definition_unfolding,[],[f122,f136]) ).
fof(f122,plain,
! [X0,X1] :
( ~ relation(X0)
| relation_dom(X0) = X1
| in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| in(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f203,plain,
( ~ sQ16_eqProxy(relation_dom(sK1),relation_rng(relation_inverse(sK1)))
| spl17_1 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f357,plain,
( ~ spl17_6
| ~ spl17_7 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl17_6
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f252,f245]) ).
fof(f245,plain,
( ! [X0] : ~ in(unordered_pair(unordered_pair(sK4(sK1,relation_rng(relation_inverse(sK1))),X0),singleton(sK4(sK1,relation_rng(relation_inverse(sK1))))),sK1)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl17_6
<=> ! [X0] : ~ in(unordered_pair(unordered_pair(sK4(sK1,relation_rng(relation_inverse(sK1))),X0),singleton(sK4(sK1,relation_rng(relation_inverse(sK1))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f353,plain,
( ~ spl17_8
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f349,f322,f303]) ).
fof(f322,plain,
( spl17_12
<=> ! [X0] : ~ in(unordered_pair(unordered_pair(X0,sK10(sK1,relation_dom(relation_inverse(sK1)))),singleton(X0)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f349,plain,
( ~ in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1)))
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f343,f119]) ).
fof(f343,plain,
( ~ relation(sK1)
| ~ in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1)))
| ~ spl17_12 ),
inference(resolution,[],[f230,f323]) ).
fof(f323,plain,
( ! [X0] : ~ in(unordered_pair(unordered_pair(X0,sK10(sK1,relation_dom(relation_inverse(sK1)))),singleton(X0)),sK1)
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f230,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK3(relation_inverse(X0),X1),X1),singleton(sK3(relation_inverse(X0),X1))),X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(relation_inverse(X0))) ),
inference(subsumption_resolution,[],[f228,f151]) ).
fof(f228,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ in(X1,relation_dom(relation_inverse(X0)))
| in(unordered_pair(unordered_pair(sK3(relation_inverse(X0),X1),X1),singleton(sK3(relation_inverse(X0),X1))),X0)
| ~ relation(relation_inverse(X0)) ),
inference(resolution,[],[f227,f178]) ).
fof(f178,plain,
! [X2,X0] :
( in(unordered_pair(unordered_pair(X2,sK3(X0,X2)),singleton(X2)),X0)
| ~ relation(X0)
| ~ in(X2,relation_dom(X0)) ),
inference(equality_resolution,[],[f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,sK3(X0,X2)),singleton(X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f124,f136]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(X2,sK3(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f227,plain,
! [X2,X3,X0] :
( ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),relation_inverse(X0))
| in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f181,f151]) ).
fof(f181,plain,
! [X2,X3,X0] :
( ~ relation(relation_inverse(X0))
| in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),relation_inverse(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X1)
| relation_inverse(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f150,f136,f136]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X1)
| relation_inverse(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f324,plain,
( spl17_12
| ~ spl17_8
| spl17_2 ),
inference(avatar_split_clause,[],[f320,f205,f303,f322]) ).
fof(f320,plain,
( ! [X0] :
( ~ in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1)))
| ~ in(unordered_pair(unordered_pair(X0,sK10(sK1,relation_dom(relation_inverse(sK1)))),singleton(X0)),sK1) )
| spl17_2 ),
inference(subsumption_resolution,[],[f299,f119]) ).
fof(f299,plain,
( ! [X0] :
( ~ in(unordered_pair(unordered_pair(X0,sK10(sK1,relation_dom(relation_inverse(sK1)))),singleton(X0)),sK1)
| ~ in(sK10(sK1,relation_dom(relation_inverse(sK1))),relation_dom(relation_inverse(sK1)))
| ~ relation(sK1) )
| spl17_2 ),
inference(resolution,[],[f207,f191]) ).
fof(f191,plain,
! [X0,X1,X6] :
( sQ16_eqProxy(relation_rng(X0),X1)
| ~ in(sK10(X0,X1),X1)
| ~ in(unordered_pair(unordered_pair(X6,sK10(X0,X1)),singleton(X6)),X0)
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f171,f185]) ).
fof(f171,plain,
! [X0,X1,X6] :
( relation_rng(X0) = X1
| ~ in(sK10(X0,X1),X1)
| ~ in(unordered_pair(unordered_pair(X6,sK10(X0,X1)),singleton(X6)),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f142,f136]) ).
fof(f142,plain,
! [X0,X1,X6] :
( relation_rng(X0) = X1
| ~ in(sK10(X0,X1),X1)
| ~ in(ordered_pair(X6,sK10(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f297,plain,
( ~ spl17_5
| ~ spl17_6 ),
inference(avatar_split_clause,[],[f296,f244,f240]) ).
fof(f296,plain,
( ~ in(sK4(sK1,relation_rng(relation_inverse(sK1))),relation_rng(relation_inverse(sK1)))
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f286,f119]) ).
fof(f286,plain,
( ~ relation(sK1)
| ~ in(sK4(sK1,relation_rng(relation_inverse(sK1))),relation_rng(relation_inverse(sK1)))
| ~ spl17_6 ),
inference(resolution,[],[f231,f245]) ).
fof(f231,plain,
! [X2,X3] :
( in(unordered_pair(unordered_pair(X2,sK9(relation_inverse(X3),X2)),singleton(X2)),X3)
| ~ in(X2,relation_rng(relation_inverse(X3)))
| ~ relation(X3) ),
inference(subsumption_resolution,[],[f229,f151]) ).
fof(f229,plain,
! [X2,X3] :
( ~ relation(X3)
| ~ relation(relation_inverse(X3))
| ~ in(X2,relation_rng(relation_inverse(X3)))
| in(unordered_pair(unordered_pair(X2,sK9(relation_inverse(X3),X2)),singleton(X2)),X3) ),
inference(resolution,[],[f227,f179]) ).
fof(f179,plain,
! [X2,X0] :
( in(unordered_pair(unordered_pair(sK9(X0,X2),X2),singleton(sK9(X0,X2))),X0)
| ~ relation(X0)
| ~ in(X2,relation_rng(X0)) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(sK9(X0,X2),X2),singleton(sK9(X0,X2))),X0)
| ~ in(X2,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f144,f136]) ).
fof(f144,plain,
! [X2,X0,X1] :
( in(ordered_pair(sK9(X0,X2),X2),X0)
| ~ in(X2,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f246,plain,
( ~ spl17_5
| spl17_6
| spl17_1 ),
inference(avatar_split_clause,[],[f238,f201,f244,f240]) ).
fof(f238,plain,
( ! [X0] :
( ~ in(unordered_pair(unordered_pair(sK4(sK1,relation_rng(relation_inverse(sK1))),X0),singleton(sK4(sK1,relation_rng(relation_inverse(sK1))))),sK1)
| ~ in(sK4(sK1,relation_rng(relation_inverse(sK1))),relation_rng(relation_inverse(sK1))) )
| spl17_1 ),
inference(subsumption_resolution,[],[f237,f119]) ).
fof(f237,plain,
( ! [X0] :
( ~ in(unordered_pair(unordered_pair(sK4(sK1,relation_rng(relation_inverse(sK1))),X0),singleton(sK4(sK1,relation_rng(relation_inverse(sK1))))),sK1)
| ~ relation(sK1)
| ~ in(sK4(sK1,relation_rng(relation_inverse(sK1))),relation_rng(relation_inverse(sK1))) )
| spl17_1 ),
inference(resolution,[],[f187,f203]) ).
fof(f187,plain,
! [X0,X1,X6] :
( sQ16_eqProxy(relation_dom(X0),X1)
| ~ in(sK4(X0,X1),X1)
| ~ in(unordered_pair(unordered_pair(sK4(X0,X1),X6),singleton(sK4(X0,X1))),X0)
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f166,f185]) ).
fof(f166,plain,
! [X0,X1,X6] :
( ~ relation(X0)
| relation_dom(X0) = X1
| ~ in(unordered_pair(unordered_pair(sK4(X0,X1),X6),singleton(sK4(X0,X1))),X0)
| ~ in(sK4(X0,X1),X1) ),
inference(definition_unfolding,[],[f123,f136]) ).
fof(f123,plain,
! [X0,X1,X6] :
( ~ relation(X0)
| relation_dom(X0) = X1
| ~ in(ordered_pair(sK4(X0,X1),X6),X0)
| ~ in(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f208,plain,
( ~ spl17_1
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f186,f205,f201]) ).
fof(f186,plain,
( ~ sQ16_eqProxy(relation_rng(sK1),relation_dom(relation_inverse(sK1)))
| ~ sQ16_eqProxy(relation_dom(sK1),relation_rng(relation_inverse(sK1))) ),
inference(equality_proxy_replacement,[],[f120,f185,f185]) ).
fof(f120,plain,
( relation_dom(sK1) != relation_rng(relation_inverse(sK1))
| relation_rng(sK1) != relation_dom(relation_inverse(sK1)) ),
inference(cnf_transformation,[],[f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU181+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:44:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (23937)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)
% 0.19/0.50 % (23955)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)
% 0.19/0.50 % (23937)Refutation not found, incomplete strategy% (23937)------------------------------
% 0.19/0.50 % (23937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23947)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)
% 0.19/0.50 % (23937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23937)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (23937)Memory used [KB]: 6012
% 0.19/0.50 % (23937)Time elapsed: 0.102 s
% 0.19/0.50 % (23937)Instructions burned: 3 (million)
% 0.19/0.50 % (23937)------------------------------
% 0.19/0.50 % (23937)------------------------------
% 0.19/0.50 % (23940)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)
% 0.19/0.50 % (23939)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)
% 0.19/0.51 % (23944)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)
% 0.19/0.51 % (23952)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)
% 0.19/0.51 % (23947)Instruction limit reached!
% 0.19/0.51 % (23947)------------------------------
% 0.19/0.51 % (23947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23947)Termination reason: Unknown
% 0.19/0.51 % (23947)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (23947)Memory used [KB]: 6012
% 0.19/0.51 % (23947)Time elapsed: 0.117 s
% 0.19/0.51 % (23947)Instructions burned: 7 (million)
% 0.19/0.51 % (23947)------------------------------
% 0.19/0.51 % (23947)------------------------------
% 0.19/0.52 % (23955)Instruction limit reached!
% 0.19/0.52 % (23955)------------------------------
% 0.19/0.52 % (23955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23955)Termination reason: Unknown
% 0.19/0.52 % (23955)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (23955)Memory used [KB]: 6268
% 0.19/0.52 % (23955)Time elapsed: 0.125 s
% 0.19/0.52 % (23955)Instructions burned: 12 (million)
% 0.19/0.52 % (23955)------------------------------
% 0.19/0.52 % (23955)------------------------------
% 0.19/0.52 % (23965)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)
% 0.19/0.52 % (23944)Refutation not found, incomplete strategy% (23944)------------------------------
% 0.19/0.52 % (23944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23944)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (23944)Memory used [KB]: 6012
% 0.19/0.52 % (23944)Time elapsed: 0.120 s
% 0.19/0.52 % (23944)Instructions burned: 4 (million)
% 0.19/0.52 % (23944)------------------------------
% 0.19/0.52 % (23944)------------------------------
% 0.19/0.52 % (23960)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)
% 0.19/0.52 % (23936)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (23964)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)
% 0.19/0.52 % (23961)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)
% 0.19/0.52 % (23959)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)
% 0.19/0.53 % (23938)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)
% 0.19/0.53 % (23939)Refutation not found, incomplete strategy% (23939)------------------------------
% 0.19/0.53 % (23939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23939)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (23939)Memory used [KB]: 6012
% 0.19/0.53 % (23939)Time elapsed: 0.136 s
% 0.19/0.53 % (23939)Instructions burned: 3 (million)
% 0.19/0.53 % (23939)------------------------------
% 0.19/0.53 % (23939)------------------------------
% 0.19/0.53 % (23938)Instruction limit reached!
% 0.19/0.53 % (23938)------------------------------
% 0.19/0.53 % (23938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23938)Termination reason: Unknown
% 0.19/0.53 % (23938)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (23938)Memory used [KB]: 1535
% 0.19/0.53 % (23938)Time elapsed: 0.004 s
% 0.19/0.53 % (23938)Instructions burned: 3 (million)
% 0.19/0.53 % (23938)------------------------------
% 0.19/0.53 % (23938)------------------------------
% 0.19/0.53 % (23957)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)
% 0.19/0.53 % (23963)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)
% 0.19/0.53 % (23950)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)
% 0.19/0.53 % (23956)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 % (23951)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)
% 0.19/0.53 % (23940)Instruction limit reached!
% 0.19/0.53 % (23940)------------------------------
% 0.19/0.53 % (23940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23940)Termination reason: Unknown
% 0.19/0.53 % (23940)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (23940)Memory used [KB]: 6268
% 0.19/0.53 % (23940)Time elapsed: 0.142 s
% 0.19/0.53 % (23940)Instructions burned: 13 (million)
% 0.19/0.53 % (23940)------------------------------
% 0.19/0.53 % (23940)------------------------------
% 0.19/0.53 % (23950)Instruction limit reached!
% 0.19/0.53 % (23950)------------------------------
% 0.19/0.53 % (23950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23950)Termination reason: Unknown
% 0.19/0.53 % (23950)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (23950)Memory used [KB]: 6012
% 0.19/0.53 % (23950)Time elapsed: 0.003 s
% 0.19/0.53 % (23950)Instructions burned: 4 (million)
% 0.19/0.53 % (23950)------------------------------
% 0.19/0.53 % (23950)------------------------------
% 0.19/0.53 % (23949)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)
% 0.19/0.53 % (23960)First to succeed.
% 0.19/0.53 % (23946)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)
% 0.19/0.54 % (23953)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (23958)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 % (23953)Instruction limit reached!
% 0.19/0.54 % (23953)------------------------------
% 0.19/0.54 % (23953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23953)Termination reason: Unknown
% 0.19/0.54 % (23953)Termination phase: Function definition elimination
% 0.19/0.54
% 0.19/0.54 % (23953)Memory used [KB]: 1535
% 0.19/0.54 % (23953)Time elapsed: 0.002 s
% 0.19/0.54 % (23949)Refutation not found, incomplete strategy% (23949)------------------------------
% 0.19/0.54 % (23949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23953)Instructions burned: 3 (million)
% 0.19/0.54 % (23953)------------------------------
% 0.19/0.54 % (23953)------------------------------
% 0.19/0.54 % (23949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23949)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (23949)Memory used [KB]: 6012
% 0.19/0.54 % (23949)Time elapsed: 0.106 s
% 0.19/0.54 % (23949)Instructions burned: 6 (million)
% 0.19/0.54 % (23949)------------------------------
% 0.19/0.54 % (23949)------------------------------
% 0.19/0.54 % (23948)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)
% 0.19/0.54 % (23943)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)
% 0.19/0.54 % (23945)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)
% 0.19/0.54 % (23962)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)
% 0.19/0.54 % (23945)Refutation not found, incomplete strategy% (23945)------------------------------
% 0.19/0.54 % (23945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23945)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (23945)Memory used [KB]: 6012
% 0.19/0.54 % (23945)Time elapsed: 0.150 s
% 0.19/0.54 % (23945)Instructions burned: 4 (million)
% 0.19/0.54 % (23945)------------------------------
% 0.19/0.54 % (23945)------------------------------
% 0.19/0.54 % (23964)Instruction limit reached!
% 0.19/0.54 % (23964)------------------------------
% 0.19/0.54 % (23964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23964)Termination reason: Unknown
% 0.19/0.54 % (23964)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (23964)Memory used [KB]: 6140
% 0.19/0.54 % (23964)Time elapsed: 0.130 s
% 0.19/0.54 % (23964)Instructions burned: 8 (million)
% 0.19/0.54 % (23964)------------------------------
% 0.19/0.54 % (23964)------------------------------
% 0.19/0.54 % (23942)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)
% 0.19/0.54 % (23960)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (23960)------------------------------
% 0.19/0.54 % (23960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23960)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (23960)Memory used [KB]: 6140
% 0.19/0.54 % (23960)Time elapsed: 0.139 s
% 0.19/0.54 % (23960)Instructions burned: 9 (million)
% 0.19/0.54 % (23960)------------------------------
% 0.19/0.54 % (23960)------------------------------
% 0.19/0.54 % (23935)Success in time 0.193 s
%------------------------------------------------------------------------------