TSTP Solution File: SEU203+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU203+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_sat --cores 0 -t %d %s
% Computer : n010.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 18:32:29 EDT 2022
% Result : Theorem 0.17s 0.53s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 73 ( 3 unt; 0 def)
% Number of atoms : 339 ( 21 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 417 ( 151 ~; 155 |; 74 &)
% ( 22 <=>; 14 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 173 ( 121 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f386,plain,
$false,
inference(avatar_sat_refutation,[],[f137,f146,f151,f195,f212,f300,f314,f319,f380,f381]) ).
fof(f381,plain,
( spl15_19
| ~ spl15_6
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f372,f311,f186,f377]) ).
fof(f377,plain,
( spl15_19
<=> in(sK5(sK9,sK8,sK10),relation_dom(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f186,plain,
( spl15_6
<=> relation(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f311,plain,
( spl15_12
<=> in(ordered_pair(sK5(sK9,sK8,sK10),sK10),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f372,plain,
( ~ relation(sK9)
| in(sK5(sK9,sK8,sK10),relation_dom(sK9))
| ~ spl15_12 ),
inference(resolution,[],[f313,f124]) ).
fof(f124,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| ~ relation(X0)
| in(X5,relation_dom(X0)) ),
inference(equality_resolution,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK0(X0,X1),X3),X0)
| ~ in(sK0(X0,X1),X1) )
& ( in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0)
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK2(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f57,f60,f59,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK0(X0,X1),X3),X0)
| ~ in(sK0(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK0(X0,X1),X4),X0)
| in(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK0(X0,X1),X4),X0)
=> in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK2(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [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) ) ) )
& ( ! [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(X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f313,plain,
( in(ordered_pair(sK5(sK9,sK8,sK10),sK10),sK9)
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f380,plain,
( ~ spl15_13
| ~ spl15_19
| ~ spl15_4
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f370,f311,f144,f377,f316]) ).
fof(f316,plain,
( spl15_13
<=> in(sK5(sK9,sK8,sK10),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f144,plain,
( spl15_4
<=> ! [X3] :
( ~ in(X3,sK8)
| ~ in(X3,relation_dom(sK9))
| ~ in(ordered_pair(X3,sK10),sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f370,plain,
( ~ in(sK5(sK9,sK8,sK10),relation_dom(sK9))
| ~ in(sK5(sK9,sK8,sK10),sK8)
| ~ spl15_4
| ~ spl15_12 ),
inference(resolution,[],[f313,f145]) ).
fof(f145,plain,
( ! [X3] :
( ~ in(ordered_pair(X3,sK10),sK9)
| ~ in(X3,sK8)
| ~ in(X3,relation_dom(sK9)) )
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f319,plain,
( ~ spl15_6
| spl15_13
| ~ spl15_1 ),
inference(avatar_split_clause,[],[f306,f130,f316,f186]) ).
fof(f130,plain,
( spl15_1
<=> in(sK10,relation_image(sK9,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f306,plain,
( in(sK5(sK9,sK8,sK10),sK8)
| ~ relation(sK9)
| ~ spl15_1 ),
inference(resolution,[],[f132,f127]) ).
fof(f127,plain,
! [X2,X3,X0] :
( ~ in(X3,relation_image(X0,X2))
| in(sK5(X0,X2,X3),X2)
| ~ relation(X0) ),
inference(equality_resolution,[],[f107]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( in(sK5(X0,X2,X3),X2)
| ~ in(X3,X1)
| relation_image(X0,X2) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [X3] :
( ( ( in(ordered_pair(sK5(X0,X2,X3),X3),X0)
& in(sK5(X0,X2,X3),X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X5] :
( ~ in(ordered_pair(X5,X3),X0)
| ~ in(X5,X2) ) ) )
| relation_image(X0,X2) != X1 )
& ( relation_image(X0,X2) = X1
| ( ( ~ in(sK6(X0,X1,X2),X1)
| ! [X7] :
( ~ in(ordered_pair(X7,sK6(X0,X1,X2)),X0)
| ~ in(X7,X2) ) )
& ( in(sK6(X0,X1,X2),X1)
| ( in(ordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0)
& in(sK7(X0,X1,X2),X2) ) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f67,f70,f69,f68]) ).
fof(f68,plain,
! [X0,X2,X3] :
( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X2) )
=> ( in(ordered_pair(sK5(X0,X2,X3),X3),X0)
& in(sK5(X0,X2,X3),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ? [X6] :
( ( ~ in(X6,X1)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X2) ) )
& ( in(X6,X1)
| ? [X8] :
( in(ordered_pair(X8,X6),X0)
& in(X8,X2) ) ) )
=> ( ( ~ in(sK6(X0,X1,X2),X1)
| ! [X7] :
( ~ in(ordered_pair(X7,sK6(X0,X1,X2)),X0)
| ~ in(X7,X2) ) )
& ( in(sK6(X0,X1,X2),X1)
| ? [X8] :
( in(ordered_pair(X8,sK6(X0,X1,X2)),X0)
& in(X8,X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ? [X8] :
( in(ordered_pair(X8,sK6(X0,X1,X2)),X0)
& in(X8,X2) )
=> ( in(ordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0)
& in(sK7(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [X3] :
( ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X5] :
( ~ in(ordered_pair(X5,X3),X0)
| ~ in(X5,X2) ) ) )
| relation_image(X0,X2) != X1 )
& ( relation_image(X0,X2) = X1
| ? [X6] :
( ( ~ in(X6,X1)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X2) ) )
& ( in(X6,X1)
| ? [X8] :
( in(ordered_pair(X8,X6),X0)
& in(X8,X2) ) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [X3] :
( ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X2) ) ) )
| relation_image(X0,X2) != X1 )
& ( relation_image(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X2) ) )
& ( in(X3,X1)
| ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X2) ) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X2) )
<=> in(X3,X1) )
<=> relation_image(X0,X2) = X1 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( ! [X3] :
( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X2) )
<=> in(X3,X1) )
<=> relation_image(X0,X2) = X1 ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
<=> in(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f132,plain,
( in(sK10,relation_image(sK9,sK8))
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f314,plain,
( spl15_12
| ~ spl15_6
| ~ spl15_1 ),
inference(avatar_split_clause,[],[f305,f130,f186,f311]) ).
fof(f305,plain,
( ~ relation(sK9)
| in(ordered_pair(sK5(sK9,sK8,sK10),sK10),sK9)
| ~ spl15_1 ),
inference(resolution,[],[f132,f126]) ).
fof(f126,plain,
! [X2,X3,X0] :
( ~ in(X3,relation_image(X0,X2))
| ~ relation(X0)
| in(ordered_pair(sK5(X0,X2,X3),X3),X0) ),
inference(equality_resolution,[],[f108]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(sK5(X0,X2,X3),X3),X0)
| ~ in(X3,X1)
| relation_image(X0,X2) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f300,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f298,f210,f134,f130]) ).
fof(f134,plain,
( spl15_2
<=> in(sK11,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f210,plain,
( spl15_8
<=> ! [X0] :
( ~ in(sK11,X0)
| in(sK10,relation_image(sK9,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f298,plain,
( in(sK10,relation_image(sK9,sK8))
| ~ spl15_2
| ~ spl15_8 ),
inference(resolution,[],[f211,f136]) ).
fof(f136,plain,
( in(sK11,sK8)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f211,plain,
( ! [X0] :
( ~ in(sK11,X0)
| in(sK10,relation_image(sK9,X0)) )
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( ~ spl15_6
| spl15_8
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f207,f148,f210,f186]) ).
fof(f148,plain,
( spl15_5
<=> in(ordered_pair(sK11,sK10),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f207,plain,
( ! [X0] :
( ~ in(sK11,X0)
| ~ relation(sK9)
| in(sK10,relation_image(sK9,X0)) )
| ~ spl15_5 ),
inference(resolution,[],[f128,f150]) ).
fof(f150,plain,
( in(ordered_pair(sK11,sK10),sK9)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f128,plain,
! [X2,X3,X0,X5] :
( ~ in(ordered_pair(X5,X3),X0)
| ~ relation(X0)
| in(X3,relation_image(X0,X2))
| ~ in(X5,X2) ),
inference(equality_resolution,[],[f106]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X5] :
( in(X3,X1)
| ~ in(ordered_pair(X5,X3),X0)
| ~ in(X5,X2)
| relation_image(X0,X2) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f195,plain,
spl15_6,
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| spl15_6 ),
inference(resolution,[],[f188,f113]) ).
fof(f113,plain,
relation(sK9),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( relation(sK9)
& ( ~ in(sK10,relation_image(sK9,sK8))
| ! [X3] :
( ~ in(X3,relation_dom(sK9))
| ~ in(X3,sK8)
| ~ in(ordered_pair(X3,sK10),sK9) ) )
& ( in(sK10,relation_image(sK9,sK8))
| ( in(sK11,relation_dom(sK9))
& in(sK11,sK8)
& in(ordered_pair(sK11,sK10),sK9) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f74,f76,f75]) ).
fof(f75,plain,
( ? [X0,X1,X2] :
( relation(X1)
& ( ~ in(X2,relation_image(X1,X0))
| ! [X3] :
( ~ in(X3,relation_dom(X1))
| ~ in(X3,X0)
| ~ in(ordered_pair(X3,X2),X1) ) )
& ( in(X2,relation_image(X1,X0))
| ? [X4] :
( in(X4,relation_dom(X1))
& in(X4,X0)
& in(ordered_pair(X4,X2),X1) ) ) )
=> ( relation(sK9)
& ( ~ in(sK10,relation_image(sK9,sK8))
| ! [X3] :
( ~ in(X3,relation_dom(sK9))
| ~ in(X3,sK8)
| ~ in(ordered_pair(X3,sK10),sK9) ) )
& ( in(sK10,relation_image(sK9,sK8))
| ? [X4] :
( in(X4,relation_dom(sK9))
& in(X4,sK8)
& in(ordered_pair(X4,sK10),sK9) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X4] :
( in(X4,relation_dom(sK9))
& in(X4,sK8)
& in(ordered_pair(X4,sK10),sK9) )
=> ( in(sK11,relation_dom(sK9))
& in(sK11,sK8)
& in(ordered_pair(sK11,sK10),sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
? [X0,X1,X2] :
( relation(X1)
& ( ~ in(X2,relation_image(X1,X0))
| ! [X3] :
( ~ in(X3,relation_dom(X1))
| ~ in(X3,X0)
| ~ in(ordered_pair(X3,X2),X1) ) )
& ( in(X2,relation_image(X1,X0))
| ? [X4] :
( in(X4,relation_dom(X1))
& in(X4,X0)
& in(ordered_pair(X4,X2),X1) ) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
? [X1,X0,X2] :
( relation(X0)
& ( ~ in(X2,relation_image(X0,X1))
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X2),X0) ) )
& ( in(X2,relation_image(X0,X1))
| ? [X3] :
( in(X3,relation_dom(X0))
& in(X3,X1)
& in(ordered_pair(X3,X2),X0) ) ) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X1,X0,X2] :
( relation(X0)
& ( ~ in(X2,relation_image(X0,X1))
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X2),X0) ) )
& ( in(X2,relation_image(X0,X1))
| ? [X3] :
( in(X3,relation_dom(X0))
& in(X3,X1)
& in(ordered_pair(X3,X2),X0) ) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
? [X1,X0,X2] :
( relation(X0)
& ( ? [X3] :
( in(X3,relation_dom(X0))
& in(X3,X1)
& in(ordered_pair(X3,X2),X0) )
<~> in(X2,relation_image(X0,X1)) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
~ ! [X2,X1,X0] :
( relation(X0)
=> ( in(X2,relation_image(X0,X1))
<=> ? [X3] :
( in(X3,relation_dom(X0))
& in(X3,X1)
& in(ordered_pair(X3,X2),X0) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X2,X1,X0] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2))
& in(X3,X1) ) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X2,X1,X0] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2))
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f188,plain,
( ~ relation(sK9)
| spl15_6 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f151,plain,
( spl15_1
| spl15_5 ),
inference(avatar_split_clause,[],[f109,f148,f130]) ).
fof(f109,plain,
( in(ordered_pair(sK11,sK10),sK9)
| in(sK10,relation_image(sK9,sK8)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f146,plain,
( spl15_4
| ~ spl15_1 ),
inference(avatar_split_clause,[],[f112,f130,f144]) ).
fof(f112,plain,
! [X3] :
( ~ in(sK10,relation_image(sK9,sK8))
| ~ in(X3,sK8)
| ~ in(ordered_pair(X3,sK10),sK9)
| ~ in(X3,relation_dom(sK9)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f137,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f110,f134,f130]) ).
fof(f110,plain,
( in(sK11,sK8)
| in(sK10,relation_image(sK9,sK8)) ),
inference(cnf_transformation,[],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:42:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.46 % (2139)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.46 TRYING [1]
% 0.17/0.46 TRYING [2]
% 0.17/0.47 % (2155)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.47 % (2147)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.48 % (2147)Instruction limit reached!
% 0.17/0.48 % (2147)------------------------------
% 0.17/0.48 % (2147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48 % (2142)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49 % (2148)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49 % (2143)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49 % (2147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (2147)Termination reason: Unknown
% 0.17/0.49 % (2147)Termination phase: Blocked clause elimination
% 0.17/0.49
% 0.17/0.49 % (2147)Memory used [KB]: 895
% 0.17/0.49 % (2147)Time elapsed: 0.002 s
% 0.17/0.49 % (2147)Instructions burned: 3 (million)
% 0.17/0.49 % (2147)------------------------------
% 0.17/0.49 % (2147)------------------------------
% 0.17/0.49 % (2141)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.49 TRYING [3]
% 0.17/0.49 % (2152)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.49 % (2163)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.49 % (2140)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.50 % (2140)Refutation not found, incomplete strategy% (2140)------------------------------
% 0.17/0.50 % (2140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (2160)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.50 % (2154)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.50 % (2156)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.50 % (2146)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50 % (2150)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.50 % (2164)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.51 % (2169)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.51 % (2165)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.51 % (2140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (2144)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.51 % (2140)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51
% 0.17/0.51 % (2140)Memory used [KB]: 5628
% 0.17/0.51 % (2140)Time elapsed: 0.119 s
% 0.17/0.51 % (2140)Instructions burned: 7 (million)
% 0.17/0.51 % (2140)------------------------------
% 0.17/0.51 % (2140)------------------------------
% 0.17/0.51 % (2153)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.51 % (2151)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.51 % (2149)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.52 TRYING [1]
% 0.17/0.52 TRYING [2]
% 0.17/0.52 % (2145)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.52 TRYING [3]
% 0.17/0.52 TRYING [1]
% 0.17/0.52 % (2166)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.52 TRYING [2]
% 0.17/0.52 % (2159)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.52 % (2167)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.53 % (2157)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.53 % (2162)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.53 % (2158)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.53 % (2168)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.53 % (2146)Instruction limit reached!
% 0.17/0.53 % (2146)------------------------------
% 0.17/0.53 % (2146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (2146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (2146)Termination reason: Unknown
% 0.17/0.53 % (2146)Termination phase: Saturation
% 0.17/0.53
% 0.17/0.53 % (2146)Memory used [KB]: 5500
% 0.17/0.53 % (2146)Time elapsed: 0.099 s
% 0.17/0.53 % (2146)Instructions burned: 7 (million)
% 0.17/0.53 % (2146)------------------------------
% 0.17/0.53 % (2146)------------------------------
% 0.17/0.53 % (2169)First to succeed.
% 0.17/0.53 % (2169)Refutation found. Thanks to Tanya!
% 0.17/0.53 % SZS status Theorem for theBenchmark
% 0.17/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.54 % (2169)------------------------------
% 0.17/0.54 % (2169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (2169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (2169)Termination reason: Refutation
% 0.17/0.54
% 0.17/0.54 % (2169)Memory used [KB]: 5756
% 0.17/0.54 % (2169)Time elapsed: 0.136 s
% 0.17/0.54 % (2169)Instructions burned: 11 (million)
% 0.17/0.54 % (2169)------------------------------
% 0.17/0.54 % (2169)------------------------------
% 0.17/0.54 % (2135)Success in time 0.199 s
%------------------------------------------------------------------------------