TSTP Solution File: SEU248+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU248+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 : n012.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 18:27:56 EDT 2022
% Result : Theorem 1.59s 0.55s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 69 ( 9 unt; 0 def)
% Number of atoms : 282 ( 27 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 349 ( 136 ~; 134 |; 50 &)
% ( 14 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 167 ( 137 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f292,plain,
$false,
inference(avatar_sat_refutation,[],[f241,f246,f267,f290]) ).
fof(f290,plain,
~ spl15_10,
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f289,plain,
( $false
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f284,f121]) ).
fof(f121,plain,
~ subset(relation_dom(relation_rng_restriction(sK6,sK7)),relation_dom(sK7)),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK6,sK7)),relation_dom(sK7))
& relation(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f84,f85]) ).
fof(f85,plain,
( ? [X0,X1] :
( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& relation(X1) )
=> ( ~ subset(relation_dom(relation_rng_restriction(sK6,sK7)),relation_dom(sK7))
& relation(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0,X1] :
( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& relation(X1) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
? [X1,X0] :
( ~ subset(relation_dom(relation_rng_restriction(X1,X0)),relation_dom(X0))
& relation(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ! [X1,X0] :
( relation(X0)
=> subset(relation_dom(relation_rng_restriction(X1,X0)),relation_dom(X0)) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X1,X0] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l29_wellord1) ).
fof(f284,plain,
( subset(relation_dom(relation_rng_restriction(sK6,sK7)),relation_dom(sK7))
| ~ spl15_10 ),
inference(resolution,[],[f274,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ in(sK8(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( in(sK8(X0,X1),X1)
& ~ in(sK8(X0,X1),X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) )
=> ( in(sK8(X0,X1),X1)
& ~ in(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f274,plain,
( in(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),relation_dom(sK7))
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f270,f120]) ).
fof(f120,plain,
relation(sK7),
inference(cnf_transformation,[],[f86]) ).
fof(f270,plain,
( ~ relation(sK7)
| in(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),relation_dom(sK7))
| ~ spl15_10 ),
inference(resolution,[],[f266,f161]) ).
fof(f161,plain,
! [X2,X3,X0] :
( ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| in(X2,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f150]) ).
fof(f150,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,[],[f108,f144]) ).
fof(f144,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(ordered_pair(X2,X3),X0)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,sK0(X0,X2)),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ! [X6] : ~ in(ordered_pair(sK1(X0,X1),X6),X0)
| ~ in(sK1(X0,X1),X1) )
& ( in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| in(sK1(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f70,f73,f72,f71]) ).
fof(f71,plain,
! [X0,X2] :
( ? [X4] : in(ordered_pair(X2,X4),X0)
=> in(ordered_pair(X2,sK0(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f72,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(sK1(X0,X1),X6),X0)
| ~ in(sK1(X0,X1),X1) )
& ( ? [X7] : in(ordered_pair(sK1(X0,X1),X7),X0)
| in(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK1(X0,X1),X7),X0)
=> in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f70,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,[],[f69]) ).
fof(f69,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,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,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(f266,plain,
( in(unordered_pair(unordered_pair(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),sK0(relation_rng_restriction(sK6,sK7),sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),singleton(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),sK7)
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl15_10
<=> in(unordered_pair(unordered_pair(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),sK0(relation_rng_restriction(sK6,sK7),sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),singleton(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f267,plain,
( spl15_10
| ~ spl15_6
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f263,f239,f236,f265]) ).
fof(f236,plain,
( spl15_6
<=> relation(relation_rng_restriction(sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f239,plain,
( spl15_7
<=> in(unordered_pair(unordered_pair(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),sK0(relation_rng_restriction(sK6,sK7),sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),singleton(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),relation_rng_restriction(sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f263,plain,
( ~ relation(relation_rng_restriction(sK6,sK7))
| in(unordered_pair(unordered_pair(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),sK0(relation_rng_restriction(sK6,sK7),sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),singleton(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),sK7)
| ~ spl15_7 ),
inference(subsumption_resolution,[],[f247,f120]) ).
fof(f247,plain,
( ~ relation(relation_rng_restriction(sK6,sK7))
| in(unordered_pair(unordered_pair(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),sK0(relation_rng_restriction(sK6,sK7),sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),singleton(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),sK7)
| ~ relation(sK7)
| ~ spl15_7 ),
inference(resolution,[],[f240,f163]) ).
fof(f163,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X0,X1))
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f154]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2) ),
inference(definition_unfolding,[],[f138,f144,f144]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) ) )
| relation_rng_restriction(X0,X1) != X2 )
& ( relation_rng_restriction(X0,X1) = X2
| ( ( ~ in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2)
| ~ in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X1)
| ~ in(sK11(X0,X1,X2),X0) )
& ( in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2)
| ( in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X1)
& in(sK11(X0,X1,X2),X0) ) ) ) ) )
| ~ relation(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f96,f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ? [X5,X6] :
( ( ~ in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0) )
& ( in(ordered_pair(X5,X6),X2)
| ( in(ordered_pair(X5,X6),X1)
& in(X6,X0) ) ) )
=> ( ( ~ in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2)
| ~ in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X1)
| ~ in(sK11(X0,X1,X2),X0) )
& ( in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2)
| ( in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X1)
& in(sK11(X0,X1,X2),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) ) )
| relation_rng_restriction(X0,X1) != X2 )
& ( relation_rng_restriction(X0,X1) = X2
| ? [X5,X6] :
( ( ~ in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0) )
& ( in(ordered_pair(X5,X6),X2)
| ( in(ordered_pair(X5,X6),X1)
& in(X6,X0) ) ) ) ) )
| ~ relation(X2) ) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) ) )
| relation_rng_restriction(X0,X1) != X2 )
& ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) )
& ( in(ordered_pair(X3,X4),X2)
| ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) ) ) )
| ~ relation(X2) ) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) ) )
| relation_rng_restriction(X0,X1) != X2 )
& ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) )
& ( in(ordered_pair(X3,X4),X2)
| ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) ) ) )
| ~ relation(X2) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_rng_restriction(X0,X1) = X2 )
| ~ relation(X2) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_rng_restriction(X0,X1) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f240,plain,
( in(unordered_pair(unordered_pair(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),sK0(relation_rng_restriction(sK6,sK7),sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),singleton(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),relation_rng_restriction(sK6,sK7))
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f246,plain,
spl15_6,
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| spl15_6 ),
inference(subsumption_resolution,[],[f243,f120]) ).
fof(f243,plain,
( ~ relation(sK7)
| spl15_6 ),
inference(resolution,[],[f237,f111]) ).
fof(f111,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f237,plain,
( ~ relation(relation_rng_restriction(sK6,sK7))
| spl15_6 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f241,plain,
( ~ spl15_6
| spl15_7 ),
inference(avatar_split_clause,[],[f186,f239,f236]) ).
fof(f186,plain,
( in(unordered_pair(unordered_pair(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),sK0(relation_rng_restriction(sK6,sK7),sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),singleton(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))))),relation_rng_restriction(sK6,sK7))
| ~ relation(relation_rng_restriction(sK6,sK7)) ),
inference(resolution,[],[f184,f162]) ).
fof(f162,plain,
! [X2,X0] :
( ~ in(X2,relation_dom(X0))
| in(unordered_pair(unordered_pair(X2,sK0(X0,X2)),singleton(X2)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,sK0(X0,X2)),singleton(X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f107,f144]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(X2,sK0(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f184,plain,
in(sK8(relation_dom(sK7),relation_dom(relation_rng_restriction(sK6,sK7))),relation_dom(relation_rng_restriction(sK6,sK7))),
inference(resolution,[],[f121,f131]) ).
fof(f131,plain,
! [X0,X1] :
( subset(X1,X0)
| in(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.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 14:56:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (18873)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)
% 0.19/0.46 % (18890)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)
% 0.19/0.48 % (18882)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)
% 0.19/0.49 % (18873)Instruction limit reached!
% 0.19/0.49 % (18873)------------------------------
% 0.19/0.49 % (18873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (18873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (18873)Termination reason: Unknown
% 0.19/0.49 % (18873)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (18873)Memory used [KB]: 6140
% 0.19/0.49 % (18873)Time elapsed: 0.086 s
% 0.19/0.49 % (18873)Instructions burned: 14 (million)
% 0.19/0.49 % (18873)------------------------------
% 0.19/0.49 % (18873)------------------------------
% 0.19/0.50 % (18879)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)
% 0.19/0.50 % (18887)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (18871)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)
% 0.19/0.51 % (18874)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (18871)Instruction limit reached!
% 0.19/0.51 % (18871)------------------------------
% 0.19/0.51 % (18871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (18871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (18871)Termination reason: Unknown
% 0.19/0.51 % (18871)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (18871)Memory used [KB]: 6012
% 0.19/0.51 % (18871)Time elapsed: 0.109 s
% 0.19/0.51 % (18871)Instructions burned: 4 (million)
% 0.19/0.51 % (18871)------------------------------
% 0.19/0.51 % (18871)------------------------------
% 0.19/0.51 % (18898)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 % (18879)Instruction limit reached!
% 0.19/0.52 % (18879)------------------------------
% 0.19/0.52 % (18879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18879)Termination reason: Unknown
% 0.19/0.52 % (18879)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (18879)Memory used [KB]: 6268
% 0.19/0.52 % (18879)Time elapsed: 0.102 s
% 0.19/0.52 % (18879)Instructions burned: 12 (million)
% 0.19/0.52 % (18879)------------------------------
% 0.19/0.52 % (18879)------------------------------
% 1.42/0.52 % (18884)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)
% 1.42/0.52 % (18869)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.42/0.52 % (18887)Instruction limit reached!
% 1.42/0.52 % (18887)------------------------------
% 1.42/0.52 % (18887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.52 % (18887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.52 % (18887)Termination reason: Unknown
% 1.42/0.52 % (18887)Termination phase: Property scanning
% 1.42/0.52
% 1.42/0.52 % (18887)Memory used [KB]: 1407
% 1.42/0.52 % (18887)Time elapsed: 0.002 s
% 1.42/0.52 % (18887)Instructions burned: 2 (million)
% 1.42/0.52 % (18887)------------------------------
% 1.42/0.52 % (18887)------------------------------
% 1.42/0.52 % (18888)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)
% 1.42/0.52 % (18875)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)
% 1.42/0.53 % (18897)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)
% 1.42/0.53 % (18884)Instruction limit reached!
% 1.42/0.53 % (18884)------------------------------
% 1.42/0.53 % (18884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (18884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (18884)Termination reason: Unknown
% 1.42/0.53 % (18884)Termination phase: Saturation
% 1.42/0.53
% 1.42/0.53 % (18884)Memory used [KB]: 6012
% 1.42/0.53 % (18884)Time elapsed: 0.095 s
% 1.42/0.53 % (18884)Instructions burned: 7 (million)
% 1.42/0.53 % (18884)------------------------------
% 1.42/0.53 % (18884)------------------------------
% 1.42/0.53 % (18897)First to succeed.
% 1.42/0.53 % (18896)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)
% 1.42/0.53 % (18880)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)
% 1.42/0.53 % (18892)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)
% 1.42/0.53 % (18893)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)
% 1.42/0.53 % (18880)Instruction limit reached!
% 1.42/0.53 % (18880)------------------------------
% 1.42/0.53 % (18880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (18880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (18880)Termination reason: Unknown
% 1.42/0.53 % (18880)Termination phase: Saturation
% 1.42/0.53
% 1.42/0.53 % (18880)Memory used [KB]: 6140
% 1.42/0.53 % (18880)Time elapsed: 0.132 s
% 1.42/0.53 % (18880)Instructions burned: 8 (million)
% 1.42/0.53 % (18880)------------------------------
% 1.42/0.53 % (18880)------------------------------
% 1.42/0.53 % (18877)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)
% 1.42/0.54 % (18878)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)
% 1.42/0.54 % (18876)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)
% 1.42/0.54 % (18888)Refutation not found, incomplete strategy% (18888)------------------------------
% 1.42/0.54 % (18888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (18889)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)
% 1.42/0.54 % (18886)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.42/0.54 % (18874)Instruction limit reached!
% 1.42/0.54 % (18874)------------------------------
% 1.42/0.54 % (18874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (18888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (18888)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54
% 1.42/0.54 % (18888)Memory used [KB]: 6012
% 1.42/0.54 % (18888)Time elapsed: 0.146 s
% 1.42/0.54 % (18888)Instructions burned: 3 (million)
% 1.42/0.54 % (18888)------------------------------
% 1.42/0.54 % (18888)------------------------------
% 1.42/0.54 % (18872)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)
% 1.42/0.54 % (18874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (18874)Termination reason: Unknown
% 1.42/0.54 % (18874)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (18874)Memory used [KB]: 1663
% 1.42/0.54 % (18874)Time elapsed: 0.137 s
% 1.42/0.54 % (18874)Instructions burned: 15 (million)
% 1.42/0.54 % (18874)------------------------------
% 1.42/0.54 % (18874)------------------------------
% 1.42/0.54 % (18878)Also succeeded, but the first one will report.
% 1.59/0.54 % (18894)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)
% 1.59/0.55 % (18883)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)
% 1.59/0.55 % (18895)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)
% 1.59/0.55 % (18897)Refutation found. Thanks to Tanya!
% 1.59/0.55 % SZS status Theorem for theBenchmark
% 1.59/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.55 % (18897)------------------------------
% 1.59/0.55 % (18897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55 % (18897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55 % (18897)Termination reason: Refutation
% 1.59/0.55
% 1.59/0.55 % (18897)Memory used [KB]: 6140
% 1.59/0.55 % (18897)Time elapsed: 0.144 s
% 1.59/0.55 % (18897)Instructions burned: 7 (million)
% 1.59/0.55 % (18897)------------------------------
% 1.59/0.55 % (18897)------------------------------
% 1.59/0.55 % (18867)Success in time 0.202 s
%------------------------------------------------------------------------------