TSTP Solution File: SEU203+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --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 18:27:21 EDT 2022
% Result : Theorem 1.34s 0.54s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 69 ( 2 unt; 0 def)
% Number of atoms : 340 ( 21 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 439 ( 168 ~; 165 |; 74 &)
% ( 17 <=>; 14 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 183 ( 131 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,plain,
$false,
inference(avatar_sat_refutation,[],[f117,f127,f132,f249,f310]) ).
fof(f310,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl14_1
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f308,f112]) ).
fof(f112,plain,
( in(sK10,relation_image(sK11,sK9))
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl14_1
<=> in(sK10,relation_image(sK11,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f308,plain,
( ~ in(sK10,relation_image(sK11,sK9))
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f307,f97]) ).
fof(f97,plain,
relation(sK11),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( ! [X3] :
( ~ in(ordered_pair(X3,sK10),sK11)
| ~ in(X3,relation_dom(sK11))
| ~ in(X3,sK9) )
| ~ in(sK10,relation_image(sK11,sK9)) )
& ( ( in(ordered_pair(sK12,sK10),sK11)
& in(sK12,relation_dom(sK11))
& in(sK12,sK9) )
| in(sK10,relation_image(sK11,sK9)) )
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f69,f71,f70]) ).
fof(f70,plain,
( ? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(ordered_pair(X3,X1),X2)
| ~ in(X3,relation_dom(X2))
| ~ in(X3,X0) )
| ~ in(X1,relation_image(X2,X0)) )
& ( ? [X4] :
( in(ordered_pair(X4,X1),X2)
& in(X4,relation_dom(X2))
& in(X4,X0) )
| in(X1,relation_image(X2,X0)) )
& relation(X2) )
=> ( ( ! [X3] :
( ~ in(ordered_pair(X3,sK10),sK11)
| ~ in(X3,relation_dom(sK11))
| ~ in(X3,sK9) )
| ~ in(sK10,relation_image(sK11,sK9)) )
& ( ? [X4] :
( in(ordered_pair(X4,sK10),sK11)
& in(X4,relation_dom(sK11))
& in(X4,sK9) )
| in(sK10,relation_image(sK11,sK9)) )
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X4] :
( in(ordered_pair(X4,sK10),sK11)
& in(X4,relation_dom(sK11))
& in(X4,sK9) )
=> ( in(ordered_pair(sK12,sK10),sK11)
& in(sK12,relation_dom(sK11))
& in(sK12,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(ordered_pair(X3,X1),X2)
| ~ in(X3,relation_dom(X2))
| ~ in(X3,X0) )
| ~ in(X1,relation_image(X2,X0)) )
& ( ? [X4] :
( in(ordered_pair(X4,X1),X2)
& in(X4,relation_dom(X2))
& in(X4,X0) )
| in(X1,relation_image(X2,X0)) )
& relation(X2) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
? [X2,X0,X1] :
( ( ! [X3] :
( ~ in(ordered_pair(X3,X0),X1)
| ~ in(X3,relation_dom(X1))
| ~ in(X3,X2) )
| ~ in(X0,relation_image(X1,X2)) )
& ( ? [X3] :
( in(ordered_pair(X3,X0),X1)
& in(X3,relation_dom(X1))
& in(X3,X2) )
| in(X0,relation_image(X1,X2)) )
& relation(X1) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X2,X0,X1] :
( ( ! [X3] :
( ~ in(ordered_pair(X3,X0),X1)
| ~ in(X3,relation_dom(X1))
| ~ in(X3,X2) )
| ~ in(X0,relation_image(X1,X2)) )
& ( ? [X3] :
( in(ordered_pair(X3,X0),X1)
& in(X3,relation_dom(X1))
& in(X3,X2) )
| in(X0,relation_image(X1,X2)) )
& relation(X1) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X2,X0,X1] :
( ( in(X0,relation_image(X1,X2))
<~> ? [X3] :
( in(ordered_pair(X3,X0),X1)
& in(X3,relation_dom(X1))
& in(X3,X2) ) )
& relation(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
~ ! [X0,X1,X2] :
( relation(X1)
=> ( in(X0,relation_image(X1,X2))
<=> ? [X3] :
( in(ordered_pair(X3,X0),X1)
& in(X3,relation_dom(X1))
& in(X3,X2) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X0,X2,X1] :
( relation(X2)
=> ( ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) )
<=> in(X0,relation_image(X2,X1)) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X0,X2,X1] :
( relation(X2)
=> ( ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) )
<=> in(X0,relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f307,plain,
( ~ relation(sK11)
| ~ in(sK10,relation_image(sK11,sK9))
| ~ spl14_2 ),
inference(duplicate_literal_removal,[],[f306]) ).
fof(f306,plain,
( ~ relation(sK11)
| ~ in(sK10,relation_image(sK11,sK9))
| ~ in(sK10,relation_image(sK11,sK9))
| ~ spl14_2 ),
inference(resolution,[],[f286,f105]) ).
fof(f105,plain,
! [X2,X0,X6] :
( in(sK2(X0,X2,X6),X2)
| ~ relation(X0)
| ~ in(X6,relation_image(X0,X2)) ),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X2,X0,X1,X6] :
( ~ relation(X0)
| in(sK2(X0,X2,X6),X2)
| ~ in(X6,X1)
| relation_image(X0,X2) != X1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X2) = X1
| ( ( ~ in(sK0(X0,X1,X2),X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0) ) )
& ( in(sK0(X0,X1,X2),X1)
| ( in(sK1(X0,X1,X2),X2)
& in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0) ) ) ) )
& ( ! [X6] :
( ( ( in(sK2(X0,X2,X6),X2)
& in(ordered_pair(sK2(X0,X2,X6),X6),X0) )
| ~ in(X6,X1) )
& ( in(X6,X1)
| ! [X8] :
( ~ in(X8,X2)
| ~ in(ordered_pair(X8,X6),X0) ) ) )
| relation_image(X0,X2) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f48,f51,f50,f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( in(X3,X1)
| ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,X3),X0) ) ) )
=> ( ( ~ in(sK0(X0,X1,X2),X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0) ) )
& ( in(sK0(X0,X1,X2),X1)
| ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,sK0(X0,X1,X2)),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,sK0(X0,X1,X2)),X0) )
=> ( in(sK1(X0,X1,X2),X2)
& in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X2,X6] :
( ? [X7] :
( in(X7,X2)
& in(ordered_pair(X7,X6),X0) )
=> ( in(sK2(X0,X2,X6),X2)
& in(ordered_pair(sK2(X0,X2,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( in(X3,X1)
| ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,X3),X0) ) ) ) )
& ( ! [X6] :
( ( ? [X7] :
( in(X7,X2)
& in(ordered_pair(X7,X6),X0) )
| ~ in(X6,X1) )
& ( in(X6,X1)
| ! [X8] :
( ~ in(X8,X2)
| ~ in(ordered_pair(X8,X6),X0) ) ) )
| relation_image(X0,X2) != X1 ) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( in(X3,X1)
| ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) ) ) ) )
& ( ! [X3] :
( ( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) ) ) )
| relation_image(X0,X2) != X1 ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( relation_image(X0,X2) = X1
<=> ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
<=> in(X3,X1) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_image(X0,X2) = X1
<=> ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
<=> in(X3,X1) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
<=> in(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f286,plain,
( ! [X0] :
( ~ in(sK2(sK11,X0,sK10),sK9)
| ~ in(sK10,relation_image(sK11,X0)) )
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f285,f97]) ).
fof(f285,plain,
( ! [X0] :
( ~ relation(sK11)
| ~ in(sK2(sK11,X0,sK10),sK9)
| ~ in(sK10,relation_image(sK11,X0)) )
| ~ spl14_2 ),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f282,plain,
( ! [X0] :
( ~ in(sK2(sK11,X0,sK10),sK9)
| ~ in(sK10,relation_image(sK11,X0))
| ~ in(sK10,relation_image(sK11,X0))
| ~ relation(sK11) )
| ~ spl14_2 ),
inference(resolution,[],[f257,f184]) ).
fof(f184,plain,
! [X2,X0,X1] :
( in(sK2(X1,X2,X0),relation_dom(X1))
| ~ in(X0,relation_image(X1,X2))
| ~ relation(X1) ),
inference(duplicate_literal_removal,[],[f172]) ).
fof(f172,plain,
! [X2,X0,X1] :
( in(sK2(X1,X2,X0),relation_dom(X1))
| ~ in(X0,relation_image(X1,X2))
| ~ relation(X1)
| ~ relation(X1) ),
inference(resolution,[],[f106,f108]) ).
fof(f108,plain,
! [X2,X3,X0] :
( ~ in(ordered_pair(X2,X3),X0)
| ~ relation(X0)
| in(X2,relation_dom(X0)) ),
inference(equality_resolution,[],[f91]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(ordered_pair(X2,X3),X0)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,sK5(X0,X2)),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ! [X6] : ~ in(ordered_pair(sK6(X0,X1),X6),X0)
| ~ in(sK6(X0,X1),X1) )
& ( in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f58,f61,f60,f59]) ).
fof(f59,plain,
! [X0,X2] :
( ? [X4] : in(ordered_pair(X2,X4),X0)
=> in(ordered_pair(X2,sK5(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f60,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(sK6(X0,X1),X6),X0)
| ~ in(sK6(X0,X1),X1) )
& ( ? [X7] : in(ordered_pair(sK6(X0,X1),X7),X0)
| in(sK6(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK6(X0,X1),X7),X0)
=> in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f58,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,[],[f57]) ).
fof(f57,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,[],[f46]) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f106,plain,
! [X2,X0,X6] :
( in(ordered_pair(sK2(X0,X2,X6),X6),X0)
| ~ in(X6,relation_image(X0,X2))
| ~ relation(X0) ),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X2,X0,X1,X6] :
( ~ relation(X0)
| in(ordered_pair(sK2(X0,X2,X6),X6),X0)
| ~ in(X6,X1)
| relation_image(X0,X2) != X1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f257,plain,
( ! [X0] :
( ~ in(sK2(sK11,X0,sK10),relation_dom(sK11))
| ~ in(sK10,relation_image(sK11,X0))
| ~ in(sK2(sK11,X0,sK10),sK9) )
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f256,f97]) ).
fof(f256,plain,
( ! [X0] :
( ~ in(sK2(sK11,X0,sK10),sK9)
| ~ in(sK10,relation_image(sK11,X0))
| ~ in(sK2(sK11,X0,sK10),relation_dom(sK11))
| ~ relation(sK11) )
| ~ spl14_2 ),
inference(resolution,[],[f116,f106]) ).
fof(f116,plain,
( ! [X3] :
( ~ in(ordered_pair(X3,sK10),sK11)
| ~ in(X3,sK9)
| ~ in(X3,relation_dom(sK11)) )
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl14_2
<=> ! [X3] :
( ~ in(X3,sK9)
| ~ in(X3,relation_dom(sK11))
| ~ in(ordered_pair(X3,sK10),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f249,plain,
( spl14_1
| ~ spl14_4
| ~ spl14_5 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| spl14_1
| ~ spl14_4
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f235,f131]) ).
fof(f131,plain,
( in(sK12,sK9)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl14_5
<=> in(sK12,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f235,plain,
( ~ in(sK12,sK9)
| spl14_1
| ~ spl14_4 ),
inference(resolution,[],[f234,f113]) ).
fof(f113,plain,
( ~ in(sK10,relation_image(sK11,sK9))
| spl14_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f234,plain,
( ! [X0] :
( in(sK10,relation_image(sK11,X0))
| ~ in(sK12,X0) )
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f229,f97]) ).
fof(f229,plain,
( ! [X0] :
( in(sK10,relation_image(sK11,X0))
| ~ in(sK12,X0)
| ~ relation(sK11) )
| ~ spl14_4 ),
inference(resolution,[],[f107,f126]) ).
fof(f126,plain,
( in(ordered_pair(sK12,sK10),sK11)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl14_4
<=> in(ordered_pair(sK12,sK10),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f107,plain,
! [X2,X0,X8,X6] :
( ~ in(ordered_pair(X8,X6),X0)
| ~ relation(X0)
| ~ in(X8,X2)
| in(X6,relation_image(X0,X2)) ),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
! [X2,X0,X1,X8,X6] :
( ~ relation(X0)
| in(X6,X1)
| ~ in(X8,X2)
| ~ in(ordered_pair(X8,X6),X0)
| relation_image(X0,X2) != X1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f132,plain,
( spl14_5
| spl14_1 ),
inference(avatar_split_clause,[],[f98,f111,f129]) ).
fof(f98,plain,
( in(sK10,relation_image(sK11,sK9))
| in(sK12,sK9) ),
inference(cnf_transformation,[],[f72]) ).
fof(f127,plain,
( spl14_1
| spl14_4 ),
inference(avatar_split_clause,[],[f100,f124,f111]) ).
fof(f100,plain,
( in(ordered_pair(sK12,sK10),sK11)
| in(sK10,relation_image(sK11,sK9)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f117,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f101,f115,f111]) ).
fof(f101,plain,
! [X3] :
( ~ in(X3,sK9)
| ~ in(ordered_pair(X3,sK10),sK11)
| ~ in(sK10,relation_image(sK11,sK9))
| ~ in(X3,relation_dom(sK11)) ),
inference(cnf_transformation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.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 14:43:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (3309)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)
% 0.19/0.51 % (3318)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)
% 0.19/0.51 % (3310)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)
% 0.19/0.52 % (3309)First to succeed.
% 0.19/0.52 % (3317)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)
% 0.19/0.52 % (3318)Instruction limit reached!
% 0.19/0.52 % (3318)------------------------------
% 0.19/0.52 % (3318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (3318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (3318)Termination reason: Unknown
% 0.19/0.52 % (3318)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (3318)Memory used [KB]: 6012
% 0.19/0.52 % (3318)Time elapsed: 0.071 s
% 0.19/0.52 % (3318)Instructions burned: 7 (million)
% 0.19/0.52 % (3318)------------------------------
% 0.19/0.52 % (3318)------------------------------
% 0.19/0.52 % (3317)Instruction limit reached!
% 0.19/0.52 % (3317)------------------------------
% 0.19/0.52 % (3317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (3317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (3317)Termination reason: Unknown
% 0.19/0.52 % (3317)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (3317)Memory used [KB]: 1407
% 0.19/0.52 % (3317)Time elapsed: 0.002 s
% 0.19/0.52 % (3317)Instructions burned: 3 (million)
% 0.19/0.52 % (3317)------------------------------
% 0.19/0.52 % (3317)------------------------------
% 0.19/0.52 % (3332)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.34/0.53 % (3305)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.53 % (3326)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)
% 1.34/0.53 % (3312)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.34/0.53 % (3308)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.34/0.53 % (3333)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.34/0.53 % (3302)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.34/0.53 % (3304)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.34/0.53 % (3314)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.34/0.53 % (3327)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.34/0.53 % (3306)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)
% 1.34/0.53 % (3313)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.34/0.54 % (3314)Instruction limit reached!
% 1.34/0.54 % (3314)------------------------------
% 1.34/0.54 % (3314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (3314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (3314)Termination reason: Unknown
% 1.34/0.54 % (3314)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (3314)Memory used [KB]: 6140
% 1.34/0.54 % (3314)Time elapsed: 0.137 s
% 1.34/0.54 % (3314)Instructions burned: 7 (million)
% 1.34/0.54 % (3314)------------------------------
% 1.34/0.54 % (3314)------------------------------
% 1.34/0.54 % (3310)Also succeeded, but the first one will report.
% 1.34/0.54 % (3315)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)
% 1.34/0.54 % (3303)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.34/0.54 % (3309)Refutation found. Thanks to Tanya!
% 1.34/0.54 % SZS status Theorem for theBenchmark
% 1.34/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.54 % (3309)------------------------------
% 1.34/0.54 % (3309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (3309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (3309)Termination reason: Refutation
% 1.34/0.54
% 1.34/0.54 % (3309)Memory used [KB]: 6140
% 1.34/0.54 % (3309)Time elapsed: 0.109 s
% 1.34/0.54 % (3309)Instructions burned: 12 (million)
% 1.34/0.54 % (3309)------------------------------
% 1.34/0.54 % (3309)------------------------------
% 1.34/0.54 % (3299)Success in time 0.185 s
%------------------------------------------------------------------------------