TSTP Solution File: SEU197+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU197+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 : n027.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 18:27:19 EDT 2022
% Result : Theorem 1.72s 0.60s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 85 ( 4 unt; 0 def)
% Number of atoms : 388 ( 30 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 512 ( 209 ~; 219 |; 59 &)
% ( 13 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 221 ( 185 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f297,plain,
$false,
inference(avatar_sat_refutation,[],[f165,f166,f167,f211,f263,f295]) ).
fof(f295,plain,
( ~ spl14_1
| spl14_2
| ~ spl14_3 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl14_1
| spl14_2
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f293,f155]) ).
fof(f155,plain,
( in(sK1,sK0)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl14_1
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f293,plain,
( ~ in(sK1,sK0)
| spl14_2
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f292,f87]) ).
fof(f87,plain,
relation(sK2),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( ~ in(sK1,relation_rng(sK2))
| ~ in(sK1,sK0)
| ~ in(sK1,relation_rng(relation_rng_restriction(sK0,sK2))) )
& ( ( in(sK1,relation_rng(sK2))
& in(sK1,sK0) )
| in(sK1,relation_rng(relation_rng_restriction(sK0,sK2))) )
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f56,f57]) ).
fof(f57,plain,
( ? [X0,X1,X2] :
( ( ~ in(X1,relation_rng(X2))
| ~ in(X1,X0)
| ~ in(X1,relation_rng(relation_rng_restriction(X0,X2))) )
& ( ( in(X1,relation_rng(X2))
& in(X1,X0) )
| in(X1,relation_rng(relation_rng_restriction(X0,X2))) )
& relation(X2) )
=> ( ( ~ in(sK1,relation_rng(sK2))
| ~ in(sK1,sK0)
| ~ in(sK1,relation_rng(relation_rng_restriction(sK0,sK2))) )
& ( ( in(sK1,relation_rng(sK2))
& in(sK1,sK0) )
| in(sK1,relation_rng(relation_rng_restriction(sK0,sK2))) )
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_rng(X2))
| ~ in(X1,X0)
| ~ in(X1,relation_rng(relation_rng_restriction(X0,X2))) )
& ( ( in(X1,relation_rng(X2))
& in(X1,X0) )
| in(X1,relation_rng(relation_rng_restriction(X0,X2))) )
& relation(X2) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
? [X1,X0,X2] :
( ( ~ in(X0,relation_rng(X2))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& relation(X2) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X1,X0,X2] :
( ( ~ in(X0,relation_rng(X2))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& relation(X2) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
? [X1,X0,X2] :
( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<~> ( in(X0,relation_rng(X2))
& in(X0,X1) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X2,X1,X0] :
( relation(X2)
=> ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
<=> in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X2,X1,X0] :
( relation(X2)
=> ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
<=> in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f292,plain,
( ~ relation(sK2)
| ~ in(sK1,sK0)
| spl14_2
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f289,f163]) ).
fof(f163,plain,
( in(sK1,relation_rng(sK2))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl14_3
<=> in(sK1,relation_rng(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f289,plain,
( ~ in(sK1,relation_rng(sK2))
| ~ relation(sK2)
| ~ in(sK1,sK0)
| spl14_2 ),
inference(resolution,[],[f226,f160]) ).
fof(f160,plain,
( ~ in(sK1,relation_rng(relation_rng_restriction(sK0,sK2)))
| spl14_2 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl14_2
<=> in(sK1,relation_rng(relation_rng_restriction(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f226,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(relation_rng_restriction(X2,X0)))
| ~ in(X1,X2)
| ~ in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f224,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(relation_rng_restriction(X2,X0)))
| ~ relation(X0)
| ~ in(X1,relation_rng(X0))
| ~ relation(X0)
| ~ in(X1,X2) ),
inference(resolution,[],[f200,f141]) ).
fof(f141,plain,
! [X2,X0] :
( in(unordered_pair(unordered_pair(sK10(X0,X2),X2),singleton(sK10(X0,X2))),X0)
| ~ relation(X0)
| ~ in(X2,relation_rng(X0)) ),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK10(X0,X2),X2),singleton(sK10(X0,X2))),X0)
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(definition_unfolding,[],[f124,f107]) ).
fof(f107,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(sK10(X0,X2),X2),X0)
| ~ in(X2,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( in(ordered_pair(sK10(X0,X2),X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ! [X6] : ~ in(ordered_pair(X6,sK11(X0,X1)),X0)
| ~ in(sK11(X0,X1),X1) )
& ( in(ordered_pair(sK12(X0,X1),sK11(X0,X1)),X0)
| in(sK11(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f81,f84,f83,f82]) ).
fof(f82,plain,
! [X0,X2] :
( ? [X4] : in(ordered_pair(X4,X2),X0)
=> in(ordered_pair(sK10(X0,X2),X2),X0) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| in(X5,X1) ) )
=> ( ( ! [X6] : ~ in(ordered_pair(X6,sK11(X0,X1)),X0)
| ~ in(sK11(X0,X1),X1) )
& ( ? [X7] : in(ordered_pair(X7,sK11(X0,X1)),X0)
| in(sK11(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(X7,sK11(X0,X1)),X0)
=> in(ordered_pair(sK12(X0,X1),sK11(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| in(X5,X1) ) ) ) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) )
<=> relation_rng(X0) = X1 ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f200,plain,
! [X10,X11,X8,X9] :
( ~ in(unordered_pair(unordered_pair(X8,X9),singleton(X8)),X10)
| ~ relation(X10)
| ~ in(X9,X11)
| in(X9,relation_rng(relation_rng_restriction(X11,X10))) ),
inference(subsumption_resolution,[],[f195,f103]) ).
fof(f103,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f195,plain,
! [X10,X11,X8,X9] :
( ~ relation(relation_rng_restriction(X11,X10))
| in(X9,relation_rng(relation_rng_restriction(X11,X10)))
| ~ in(unordered_pair(unordered_pair(X8,X9),singleton(X8)),X10)
| ~ in(X9,X11)
| ~ relation(X10) ),
inference(resolution,[],[f192,f140]) ).
fof(f140,plain,
! [X2,X3,X0] :
( ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
| in(X2,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
| relation_rng(X0) != X1 ),
inference(definition_unfolding,[],[f125,f107]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(ordered_pair(X3,X2),X0)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f192,plain,
! [X3,X0,X1,X4] :
( in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_rng_restriction(X1,X0))
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
| ~ relation(X0)
| ~ in(X3,X1) ),
inference(subsumption_resolution,[],[f139,f103]) ).
fof(f139,plain,
! [X3,X0,X1,X4] :
( ~ in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_rng_restriction(X1,X0)) ),
inference(equality_resolution,[],[f129]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X2)
| ~ in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
| relation_rng_restriction(X1,X0) != X2
| ~ relation(X2) ),
inference(definition_unfolding,[],[f119,f107,f107]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| in(ordered_pair(X4,X3),X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X4,X3),X0)
| relation_rng_restriction(X1,X0) != X2
| ~ relation(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( ( in(X3,X1)
& in(ordered_pair(X4,X3),X0) )
| ~ in(ordered_pair(X4,X3),X2) )
& ( in(ordered_pair(X4,X3),X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X4,X3),X0) ) )
| relation_rng_restriction(X1,X0) != X2 )
& ( relation_rng_restriction(X1,X0) = X2
| ( ( ~ in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X2)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X0) )
& ( in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X2)
| ( in(sK8(X0,X1,X2),X1)
& in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X0) ) ) ) ) )
| ~ relation(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f77,f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ? [X5,X6] :
( ( ~ in(ordered_pair(X6,X5),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(X6,X5),X2)
| ( in(X5,X1)
& in(ordered_pair(X6,X5),X0) ) ) )
=> ( ( ~ in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X2)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X0) )
& ( in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X2)
| ( in(sK8(X0,X1,X2),X1)
& in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( ( in(X3,X1)
& in(ordered_pair(X4,X3),X0) )
| ~ in(ordered_pair(X4,X3),X2) )
& ( in(ordered_pair(X4,X3),X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X4,X3),X0) ) )
| relation_rng_restriction(X1,X0) != X2 )
& ( relation_rng_restriction(X1,X0) = X2
| ? [X5,X6] :
( ( ~ in(ordered_pair(X6,X5),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(X6,X5),X2)
| ( in(X5,X1)
& in(ordered_pair(X6,X5),X0) ) ) ) ) )
| ~ relation(X2) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X4,X3] :
( ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) ) )
| relation_rng_restriction(X0,X1) != X2 )
& ( relation_rng_restriction(X0,X1) = X2
| ? [X4,X3] :
( ( ~ in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( in(ordered_pair(X3,X4),X2)
| ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) ) ) )
| ~ relation(X2) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X4,X3] :
( ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) ) )
| relation_rng_restriction(X0,X1) != X2 )
& ( relation_rng_restriction(X0,X1) = X2
| ? [X4,X3] :
( ( ~ in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( in(ordered_pair(X3,X4),X2)
| ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) ) ) )
| ~ relation(X2) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ~ relation(X1)
| ! [X2] :
( ( ! [X4,X3] :
( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_rng_restriction(X0,X1) = X2 )
| ~ relation(X2) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X4,X3] :
( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_rng_restriction(X0,X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f263,plain,
( ~ spl14_2
| spl14_3 ),
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f262,plain,
( $false
| ~ spl14_2
| spl14_3 ),
inference(subsumption_resolution,[],[f261,f164]) ).
fof(f164,plain,
( ~ in(sK1,relation_rng(sK2))
| spl14_3 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f261,plain,
( in(sK1,relation_rng(sK2))
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f257,f87]) ).
fof(f257,plain,
( ~ relation(sK2)
| in(sK1,relation_rng(sK2))
| ~ spl14_2 ),
inference(resolution,[],[f243,f159]) ).
fof(f159,plain,
( in(sK1,relation_rng(relation_rng_restriction(sK0,sK2)))
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f243,plain,
! [X10,X8,X9] :
( ~ in(X9,relation_rng(relation_rng_restriction(X10,X8)))
| ~ relation(X8)
| in(X9,relation_rng(X8)) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f234,plain,
! [X10,X8,X9] :
( ~ relation(X8)
| ~ relation(X8)
| in(X9,relation_rng(X8))
| ~ in(X9,relation_rng(relation_rng_restriction(X10,X8))) ),
inference(resolution,[],[f189,f140]) ).
fof(f189,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(sK10(relation_rng_restriction(X0,X1),X2),X2),singleton(sK10(relation_rng_restriction(X0,X1),X2))),X1)
| ~ relation(X1)
| ~ in(X2,relation_rng(relation_rng_restriction(X0,X1))) ),
inference(subsumption_resolution,[],[f188,f103]) ).
fof(f188,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(sK10(relation_rng_restriction(X0,X1),X2),X2),singleton(sK10(relation_rng_restriction(X0,X1),X2))),X1)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ in(X2,relation_rng(relation_rng_restriction(X0,X1)))
| ~ relation(X1) ),
inference(resolution,[],[f183,f141]) ).
fof(f183,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_rng_restriction(X1,X0))
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f138,f103]) ).
fof(f138,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0) ),
inference(equality_resolution,[],[f128]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X2)
| relation_rng_restriction(X1,X0) != X2
| ~ relation(X2) ),
inference(definition_unfolding,[],[f120,f107,f107]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| in(ordered_pair(X4,X3),X0)
| ~ in(ordered_pair(X4,X3),X2)
| relation_rng_restriction(X1,X0) != X2
| ~ relation(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f211,plain,
( spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f210,f158,f154]) ).
fof(f210,plain,
( in(sK1,sK0)
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f208,f87]) ).
fof(f208,plain,
( in(sK1,sK0)
| ~ relation(sK2)
| ~ spl14_2 ),
inference(resolution,[],[f182,f159]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ relation(X2)
| in(X0,X1) ),
inference(subsumption_resolution,[],[f181,f103]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| in(X0,X1)
| ~ relation(relation_rng_restriction(X1,X2)) ),
inference(resolution,[],[f180,f141]) ).
fof(f180,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_rng_restriction(X1,X0))
| in(X3,X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f137,f103]) ).
fof(f137,plain,
! [X3,X0,X1,X4] :
( ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_rng_restriction(X1,X0))
| in(X3,X1) ),
inference(equality_resolution,[],[f127]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X2)
| relation_rng_restriction(X1,X0) != X2
| ~ relation(X2) ),
inference(definition_unfolding,[],[f121,f107]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| in(X3,X1)
| ~ in(ordered_pair(X4,X3),X2)
| relation_rng_restriction(X1,X0) != X2
| ~ relation(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f167,plain,
( spl14_2
| spl14_3 ),
inference(avatar_split_clause,[],[f89,f162,f158]) ).
fof(f89,plain,
( in(sK1,relation_rng(sK2))
| in(sK1,relation_rng(relation_rng_restriction(sK0,sK2))) ),
inference(cnf_transformation,[],[f58]) ).
fof(f166,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f88,f158,f154]) ).
fof(f88,plain,
( in(sK1,relation_rng(relation_rng_restriction(sK0,sK2)))
| in(sK1,sK0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f165,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f90,f162,f158,f154]) ).
fof(f90,plain,
( ~ in(sK1,relation_rng(sK2))
| ~ in(sK1,relation_rng(relation_rng_restriction(sK0,sK2)))
| ~ in(sK1,sK0) ),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU197+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:04:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (11877)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)
% 0.19/0.55 % (11878)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)
% 0.19/0.55 % (11885)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)
% 0.19/0.55 % (11886)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)
% 1.43/0.56 % (11893)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)
% 1.43/0.56 % (11894)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.43/0.56 % (11891)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.43/0.57 % (11899)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)
% 1.43/0.57 % (11879)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)
% 1.72/0.57 % (11894)First to succeed.
% 1.72/0.58 % (11885)Instruction limit reached!
% 1.72/0.58 % (11885)------------------------------
% 1.72/0.58 % (11885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59 % (11885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59 % (11885)Termination reason: Unknown
% 1.72/0.59 % (11885)Termination phase: Saturation
% 1.72/0.59
% 1.72/0.59 % (11885)Memory used [KB]: 6012
% 1.72/0.59 % (11885)Time elapsed: 0.166 s
% 1.72/0.59 % (11885)Instructions burned: 8 (million)
% 1.72/0.59 % (11885)------------------------------
% 1.72/0.59 % (11885)------------------------------
% 1.72/0.59 % (11881)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)
% 1.72/0.60 % (11894)Refutation found. Thanks to Tanya!
% 1.72/0.60 % SZS status Theorem for theBenchmark
% 1.72/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.60 % (11894)------------------------------
% 1.72/0.60 % (11894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.60 % (11894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.60 % (11894)Termination reason: Refutation
% 1.72/0.60
% 1.72/0.60 % (11894)Memory used [KB]: 6140
% 1.72/0.60 % (11894)Time elapsed: 0.164 s
% 1.72/0.60 % (11894)Instructions burned: 10 (million)
% 1.72/0.60 % (11894)------------------------------
% 1.72/0.60 % (11894)------------------------------
% 1.72/0.60 % (11869)Success in time 0.236 s
%------------------------------------------------------------------------------