TSTP Solution File: SEU185+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU185+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 : n016.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 18:27:12 EDT 2022
% Result : Theorem 2.23s 0.66s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 20
% Syntax : Number of formulae : 111 ( 13 unt; 0 def)
% Number of atoms : 479 ( 52 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 590 ( 222 ~; 251 |; 75 &)
% ( 16 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 2 con; 0-4 aty)
% Number of variables : 278 ( 225 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f382,plain,
$false,
inference(subsumption_resolution,[],[f381,f202]) ).
fof(f202,plain,
~ sQ19_eqProxy(relation_rng(sK8),relation_rng(relation_composition(sK9,sK8))),
inference(equality_proxy_replacement,[],[f137,f195]) ).
fof(f195,plain,
! [X0,X1] :
( sQ19_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ19_eqProxy])]) ).
fof(f137,plain,
relation_rng(sK8) != relation_rng(relation_composition(sK9,sK8)),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( relation(sK8)
& relation_rng(sK8) != relation_rng(relation_composition(sK9,sK8))
& relation(sK9)
& subset(relation_dom(sK8),relation_rng(sK9)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f58,f87,f86]) ).
fof(f86,plain,
( ? [X0] :
( relation(X0)
& ? [X1] :
( relation_rng(X0) != relation_rng(relation_composition(X1,X0))
& relation(X1)
& subset(relation_dom(X0),relation_rng(X1)) ) )
=> ( relation(sK8)
& ? [X1] :
( relation_rng(relation_composition(X1,sK8)) != relation_rng(sK8)
& relation(X1)
& subset(relation_dom(sK8),relation_rng(X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X1] :
( relation_rng(relation_composition(X1,sK8)) != relation_rng(sK8)
& relation(X1)
& subset(relation_dom(sK8),relation_rng(X1)) )
=> ( relation_rng(sK8) != relation_rng(relation_composition(sK9,sK8))
& relation(sK9)
& subset(relation_dom(sK8),relation_rng(sK9)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation_rng(X0) != relation_rng(relation_composition(X1,X0))
& relation(X1)
& subset(relation_dom(X0),relation_rng(X1)) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X0] :
( ? [X1] :
( relation_rng(X0) != relation_rng(relation_composition(X1,X0))
& subset(relation_dom(X0),relation_rng(X1))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(X0) = relation_rng(relation_composition(X1,X0)) ) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(X0) = relation_rng(relation_composition(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_relat_1) ).
fof(f381,plain,
sQ19_eqProxy(relation_rng(sK8),relation_rng(relation_composition(sK9,sK8))),
inference(subsumption_resolution,[],[f380,f138]) ).
fof(f138,plain,
relation(sK8),
inference(cnf_transformation,[],[f88]) ).
fof(f380,plain,
( ~ relation(sK8)
| sQ19_eqProxy(relation_rng(sK8),relation_rng(relation_composition(sK9,sK8))) ),
inference(subsumption_resolution,[],[f371,f302]) ).
fof(f302,plain,
in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))),
inference(subsumption_resolution,[],[f301,f136]) ).
fof(f136,plain,
relation(sK9),
inference(cnf_transformation,[],[f88]) ).
fof(f301,plain,
( ~ relation(sK9)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(subsumption_resolution,[],[f300,f138]) ).
fof(f300,plain,
( in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8)))
| ~ relation(sK8)
| ~ relation(sK9) ),
inference(resolution,[],[f286,f121]) ).
fof(f121,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f286,plain,
( ~ relation(relation_composition(sK9,sK8))
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(subsumption_resolution,[],[f285,f191]) ).
fof(f191,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| ~ relation(X0)
| in(X5,relation_rng(X0)) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f142,f152]) ).
fof(f152,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
inference(rectify,[],[f7]) ).
fof(f7,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(f142,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK10(X0,X1)),X0)
| ~ in(sK10(X0,X1),X1) )
& ( in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0)
| in(sK10(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK12(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f91,f94,f93,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK10(X0,X1)),X0)
| ~ in(sK10(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK10(X0,X1)),X0)
| in(sK10(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK10(X0,X1)),X0)
=> in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK12(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [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) ) ) )
& ( ! [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(X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f285,plain,
( in(unordered_pair(unordered_pair(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))))),relation_composition(sK9,sK8))
| ~ relation(relation_composition(sK9,sK8))
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(subsumption_resolution,[],[f282,f136]) ).
fof(f282,plain,
( ~ relation(sK9)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8)))
| ~ relation(relation_composition(sK9,sK8))
| in(unordered_pair(unordered_pair(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))))),relation_composition(sK9,sK8)) ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f275,plain,
( ~ relation(sK9)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8)))
| in(unordered_pair(unordered_pair(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))))),relation_composition(sK9,sK8))
| ~ relation(relation_composition(sK9,sK8))
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(resolution,[],[f243,f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(X1)),X0)
| ~ relation(X0)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8)))
| in(unordered_pair(unordered_pair(X1,sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(X1)),relation_composition(X0,sK8))
| ~ relation(relation_composition(X0,sK8)) ),
inference(subsumption_resolution,[],[f221,f138]) ).
fof(f221,plain,
! [X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X1,sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(X1)),relation_composition(X0,sK8))
| ~ relation(relation_composition(X0,sK8))
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8)))
| ~ in(unordered_pair(unordered_pair(X1,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(X1)),X0)
| ~ relation(sK8) ),
inference(resolution,[],[f214,f190]) ).
fof(f190,plain,
! [X3,X0,X1,X6,X4] :
( ~ in(unordered_pair(unordered_pair(X6,X3),singleton(X6)),X1)
| ~ relation(X1)
| ~ relation(relation_composition(X0,X1))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X4,X6),singleton(X4)),X0) ),
inference(equality_resolution,[],[f177]) ).
fof(f177,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ relation(X1)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X2)
| ~ in(unordered_pair(unordered_pair(X6,X3),singleton(X6)),X1)
| ~ in(unordered_pair(unordered_pair(X4,X6),singleton(X4)),X0)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f132,f152,f152,f152]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ relation(X1)
| in(ordered_pair(X4,X3),X2)
| ~ in(ordered_pair(X6,X3),X1)
| ~ in(ordered_pair(X4,X6),X0)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( ( in(ordered_pair(sK4(X0,X1,X3,X4),X3),X1)
& in(ordered_pair(X4,sK4(X0,X1,X3,X4)),X0) )
| ~ in(ordered_pair(X4,X3),X2) )
& ( in(ordered_pair(X4,X3),X2)
| ! [X6] :
( ~ in(ordered_pair(X6,X3),X1)
| ~ in(ordered_pair(X4,X6),X0) ) ) )
| relation_composition(X0,X1) != X2 )
& ( relation_composition(X0,X1) = X2
| ( ( ~ in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,sK5(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK6(X0,X1,X2),X9),X0) ) )
& ( in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X2)
| ( in(ordered_pair(sK7(X0,X1,X2),sK5(X0,X1,X2)),X1)
& in(ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2)),X0) ) ) ) ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f81,f84,f83,f82]) ).
fof(f82,plain,
! [X0,X1,X3,X4] :
( ? [X5] :
( in(ordered_pair(X5,X3),X1)
& in(ordered_pair(X4,X5),X0) )
=> ( in(ordered_pair(sK4(X0,X1,X3,X4),X3),X1)
& in(ordered_pair(X4,sK4(X0,X1,X3,X4)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ? [X7,X8] :
( ( ~ in(ordered_pair(X8,X7),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X7),X1)
| ~ in(ordered_pair(X8,X9),X0) ) )
& ( in(ordered_pair(X8,X7),X2)
| ? [X10] :
( in(ordered_pair(X10,X7),X1)
& in(ordered_pair(X8,X10),X0) ) ) )
=> ( ( ~ in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,sK5(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK6(X0,X1,X2),X9),X0) ) )
& ( in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X2)
| ? [X10] :
( in(ordered_pair(X10,sK5(X0,X1,X2)),X1)
& in(ordered_pair(sK6(X0,X1,X2),X10),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ? [X10] :
( in(ordered_pair(X10,sK5(X0,X1,X2)),X1)
& in(ordered_pair(sK6(X0,X1,X2),X10),X0) )
=> ( in(ordered_pair(sK7(X0,X1,X2),sK5(X0,X1,X2)),X1)
& in(ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( ? [X5] :
( in(ordered_pair(X5,X3),X1)
& in(ordered_pair(X4,X5),X0) )
| ~ in(ordered_pair(X4,X3),X2) )
& ( in(ordered_pair(X4,X3),X2)
| ! [X6] :
( ~ in(ordered_pair(X6,X3),X1)
| ~ in(ordered_pair(X4,X6),X0) ) ) )
| relation_composition(X0,X1) != X2 )
& ( relation_composition(X0,X1) = X2
| ? [X7,X8] :
( ( ~ in(ordered_pair(X8,X7),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X7),X1)
| ~ in(ordered_pair(X8,X9),X0) ) )
& ( in(ordered_pair(X8,X7),X2)
| ? [X10] :
( in(ordered_pair(X10,X7),X1)
& in(ordered_pair(X8,X10),X0) ) ) ) ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X4,X3] :
( ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) ) )
| relation_composition(X0,X1) != X2 )
& ( relation_composition(X0,X1) = X2
| ? [X4,X3] :
( ( ~ in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) )
& ( in(ordered_pair(X3,X4),X2)
| ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) ) ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ! [X4,X3] :
( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_composition(X0,X1) = X2 )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X4,X3] :
( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_composition(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f214,plain,
( in(unordered_pair(unordered_pair(sK11(sK8,relation_rng(relation_composition(sK9,sK8))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK11(sK8,relation_rng(relation_composition(sK9,sK8))))),sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(subsumption_resolution,[],[f212,f138]) ).
fof(f212,plain,
( in(unordered_pair(unordered_pair(sK11(sK8,relation_rng(relation_composition(sK9,sK8))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK11(sK8,relation_rng(relation_composition(sK9,sK8))))),sK8)
| ~ relation(sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(resolution,[],[f202,f204]) ).
fof(f204,plain,
! [X0,X1] :
( sQ19_eqProxy(relation_rng(X0),X1)
| ~ relation(X0)
| in(sK10(X0,X1),X1)
| in(unordered_pair(unordered_pair(sK11(X0,X1),sK10(X0,X1)),singleton(sK11(X0,X1))),X0) ),
inference(equality_proxy_replacement,[],[f182,f195]) ).
fof(f182,plain,
! [X0,X1] :
( relation_rng(X0) = X1
| in(unordered_pair(unordered_pair(sK11(X0,X1),sK10(X0,X1)),singleton(sK11(X0,X1))),X0)
| in(sK10(X0,X1),X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f143,f152]) ).
fof(f143,plain,
! [X0,X1] :
( relation_rng(X0) = X1
| in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0)
| in(sK10(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f243,plain,
( in(unordered_pair(unordered_pair(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))),sK11(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))))),sK9)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(subsumption_resolution,[],[f239,f136]) ).
fof(f239,plain,
( ~ relation(sK9)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8)))
| in(unordered_pair(unordered_pair(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))),sK11(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(sK9,sK11(sK8,relation_rng(relation_composition(sK9,sK8)))))),sK9) ),
inference(resolution,[],[f228,f192]) ).
fof(f192,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| in(unordered_pair(unordered_pair(sK12(X0,X5),X5),singleton(sK12(X0,X5))),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK12(X0,X5),X5),singleton(sK12(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f141,f152]) ).
fof(f141,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK12(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f228,plain,
( in(sK11(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK9))
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(resolution,[],[f226,f211]) ).
fof(f211,plain,
! [X0] :
( ~ in(X0,relation_dom(sK8))
| in(X0,relation_rng(sK9)) ),
inference(resolution,[],[f135,f118]) ).
fof(f118,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| in(X3,X1)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f71,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) )
& ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f135,plain,
subset(relation_dom(sK8),relation_rng(sK9)),
inference(cnf_transformation,[],[f88]) ).
fof(f226,plain,
( in(sK11(sK8,relation_rng(relation_composition(sK9,sK8))),relation_dom(sK8))
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(subsumption_resolution,[],[f219,f138]) ).
fof(f219,plain,
( in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8)))
| in(sK11(sK8,relation_rng(relation_composition(sK9,sK8))),relation_dom(sK8))
| ~ relation(sK8) ),
inference(resolution,[],[f214,f186]) ).
fof(f186,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f125,f152]) ).
fof(f125,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK1(X0,X1),X3),X0)
| ~ in(sK1(X0,X1),X1) )
& ( in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f75,f78,f77,f76]) ).
fof(f76,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(sK1(X0,X1),X3),X0)
| ~ in(sK1(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK1(X0,X1),X4),X0)
| in(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK1(X0,X1),X4),X0)
=> in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK3(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f75,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,[],[f74]) ).
fof(f74,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,[],[f64]) ).
fof(f64,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(f371,plain,
( ~ in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8)))
| ~ relation(sK8)
| sQ19_eqProxy(relation_rng(sK8),relation_rng(relation_composition(sK9,sK8))) ),
inference(resolution,[],[f369,f203]) ).
fof(f203,plain,
! [X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X3,sK10(X0,X1)),singleton(X3)),X0)
| ~ relation(X0)
| sQ19_eqProxy(relation_rng(X0),X1)
| ~ in(sK10(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f181,f195]) ).
fof(f181,plain,
! [X3,X0,X1] :
( relation_rng(X0) = X1
| ~ in(unordered_pair(unordered_pair(X3,sK10(X0,X1)),singleton(X3)),X0)
| ~ in(sK10(X0,X1),X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f144,f152]) ).
fof(f144,plain,
! [X3,X0,X1] :
( relation_rng(X0) = X1
| ~ in(ordered_pair(X3,sK10(X0,X1)),X0)
| ~ in(sK10(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f369,plain,
in(unordered_pair(unordered_pair(sK12(sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8)))))),sK8),
inference(subsumption_resolution,[],[f365,f138]) ).
fof(f365,plain,
( in(unordered_pair(unordered_pair(sK12(sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8)))))),sK8)
| ~ relation(sK8) ),
inference(resolution,[],[f364,f192]) ).
fof(f364,plain,
in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8)),
inference(subsumption_resolution,[],[f363,f138]) ).
fof(f363,plain,
( ~ relation(sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8)) ),
inference(duplicate_literal_removal,[],[f358]) ).
fof(f358,plain,
( in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8))
| ~ relation(sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8)) ),
inference(resolution,[],[f346,f191]) ).
fof(f346,plain,
( in(unordered_pair(unordered_pair(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))))),sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8)) ),
inference(subsumption_resolution,[],[f345,f136]) ).
fof(f345,plain,
( ~ relation(sK9)
| in(unordered_pair(unordered_pair(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))))),sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8)) ),
inference(subsumption_resolution,[],[f344,f138]) ).
fof(f344,plain,
( in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8))
| in(unordered_pair(unordered_pair(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))))),sK8)
| ~ relation(sK8)
| ~ relation(sK9) ),
inference(resolution,[],[f297,f121]) ).
fof(f297,plain,
( ~ relation(relation_composition(sK9,sK8))
| in(unordered_pair(unordered_pair(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))))),sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8)) ),
inference(subsumption_resolution,[],[f296,f136]) ).
fof(f296,plain,
( ~ relation(sK9)
| ~ relation(relation_composition(sK9,sK8))
| in(unordered_pair(unordered_pair(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))))),sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8)) ),
inference(subsumption_resolution,[],[f287,f138]) ).
fof(f287,plain,
( ~ relation(sK8)
| ~ relation(sK9)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8))
| in(unordered_pair(unordered_pair(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK4(sK9,sK8,sK10(sK8,relation_rng(relation_composition(sK9,sK8))),sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8))))))),sK8)
| ~ relation(relation_composition(sK9,sK8)) ),
inference(resolution,[],[f265,f188]) ).
fof(f188,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_composition(X0,X1))
| in(unordered_pair(unordered_pair(sK4(X0,X1,X3,X4),X3),singleton(sK4(X0,X1,X3,X4))),X1)
| ~ relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| in(unordered_pair(unordered_pair(sK4(X0,X1,X3,X4),X3),singleton(sK4(X0,X1,X3,X4))),X1)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f134,f152,f152]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| in(ordered_pair(sK4(X0,X1,X3,X4),X3),X1)
| ~ in(ordered_pair(X4,X3),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f265,plain,
( in(unordered_pair(unordered_pair(sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))))),relation_composition(sK9,sK8))
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8)) ),
inference(subsumption_resolution,[],[f264,f138]) ).
fof(f264,plain,
( in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8))
| ~ relation(sK8)
| in(unordered_pair(unordered_pair(sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))))),relation_composition(sK9,sK8)) ),
inference(subsumption_resolution,[],[f263,f136]) ).
fof(f263,plain,
( ~ relation(sK9)
| ~ relation(sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8))
| in(unordered_pair(unordered_pair(sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))))),relation_composition(sK9,sK8)) ),
inference(resolution,[],[f234,f121]) ).
fof(f234,plain,
( ~ relation(relation_composition(sK9,sK8))
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8))
| in(unordered_pair(unordered_pair(sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))),singleton(sK12(relation_composition(sK9,sK8),sK10(sK8,relation_rng(relation_composition(sK9,sK8)))))),relation_composition(sK9,sK8)) ),
inference(resolution,[],[f227,f192]) ).
fof(f227,plain,
( in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8)))
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8)) ),
inference(subsumption_resolution,[],[f220,f138]) ).
fof(f220,plain,
( in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(sK8))
| ~ relation(sK8)
| in(sK10(sK8,relation_rng(relation_composition(sK9,sK8))),relation_rng(relation_composition(sK9,sK8))) ),
inference(resolution,[],[f214,f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU185+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.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 15:10:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.54 % (29807)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)
% 0.19/0.56 % (29799)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)
% 1.48/0.56 % (29807)Instruction limit reached!
% 1.48/0.56 % (29807)------------------------------
% 1.48/0.56 % (29807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.56 % (29807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.56 % (29807)Termination reason: Unknown
% 1.48/0.56 % (29807)Termination phase: Function definition elimination
% 1.48/0.56
% 1.48/0.56 % (29807)Memory used [KB]: 1535
% 1.48/0.56 % (29807)Time elapsed: 0.005 s
% 1.48/0.56 % (29807)Instructions burned: 3 (million)
% 1.48/0.56 % (29807)------------------------------
% 1.48/0.56 % (29807)------------------------------
% 1.77/0.58 % (29815)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)
% 1.77/0.59 % (29818)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)
% 1.77/0.59 % (29796)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)
% 1.77/0.59 % (29797)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)
% 1.77/0.60 % (29810)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.77/0.61 % (29802)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)
% 1.77/0.61 % (29798)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)
% 1.77/0.61 % (29810)Instruction limit reached!
% 1.77/0.61 % (29810)------------------------------
% 1.77/0.61 % (29810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (29810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61 % (29810)Termination reason: Unknown
% 1.77/0.61 % (29810)Termination phase: Property scanning
% 1.77/0.61
% 1.77/0.61 % (29810)Memory used [KB]: 1535
% 1.77/0.61 % (29810)Time elapsed: 0.004 s
% 1.77/0.61 % (29810)Instructions burned: 3 (million)
% 1.77/0.61 % (29810)------------------------------
% 1.77/0.61 % (29810)------------------------------
% 1.77/0.61 % (29795)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)
% 1.77/0.61 % (29795)Instruction limit reached!
% 1.77/0.61 % (29795)------------------------------
% 1.77/0.61 % (29795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61 % (29795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61 % (29795)Termination reason: Unknown
% 1.77/0.61 % (29795)Termination phase: Property scanning
% 1.77/0.61
% 1.77/0.61 % (29795)Memory used [KB]: 1535
% 1.77/0.61 % (29795)Time elapsed: 0.005 s
% 1.77/0.61 % (29795)Instructions burned: 3 (million)
% 1.77/0.61 % (29795)------------------------------
% 1.77/0.61 % (29795)------------------------------
% 1.77/0.61 % (29813)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)
% 1.77/0.61 % (29794)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)
% 1.77/0.61 % (29793)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.77/0.62 % (29816)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)
% 1.77/0.62 % (29805)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)
% 1.77/0.62 % (29819)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)
% 1.77/0.62 % (29814)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)
% 1.77/0.62 % (29811)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)
% 1.77/0.62 % (29809)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)
% 1.77/0.62 % (29811)Instruction limit reached!
% 1.77/0.62 % (29811)------------------------------
% 1.77/0.62 % (29811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62 % (29811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62 % (29811)Termination reason: Unknown
% 1.77/0.62 % (29811)Termination phase: Clausification
% 1.77/0.62
% 1.77/0.62 % (29811)Memory used [KB]: 1535
% 1.77/0.62 % (29811)Time elapsed: 0.003 s
% 1.77/0.62 % (29811)Instructions burned: 3 (million)
% 1.77/0.62 % (29811)------------------------------
% 1.77/0.62 % (29811)------------------------------
% 1.77/0.62 % (29804)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)
% 1.77/0.62 % (29822)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)
% 1.77/0.63 % (29821)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)
% 1.77/0.63 % (29820)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)
% 1.77/0.63 % (29800)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)
% 1.77/0.63 % (29808)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)
% 1.77/0.63 % (29803)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)
% 1.77/0.63 % (29797)Instruction limit reached!
% 1.77/0.63 % (29797)------------------------------
% 1.77/0.63 % (29797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.63 % (29797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.63 % (29797)Termination reason: Unknown
% 1.77/0.63 % (29797)Termination phase: Saturation
% 1.77/0.63
% 1.77/0.63 % (29797)Memory used [KB]: 6140
% 1.77/0.63 % (29797)Time elapsed: 0.209 s
% 1.77/0.63 % (29797)Instructions burned: 13 (million)
% 1.77/0.63 % (29797)------------------------------
% 1.77/0.63 % (29797)------------------------------
% 1.77/0.63 % (29801)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)
% 1.77/0.63 % (29806)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)
% 1.77/0.63 % (29808)Instruction limit reached!
% 1.77/0.63 % (29808)------------------------------
% 1.77/0.63 % (29808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.63 % (29808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.63 % (29808)Termination reason: Unknown
% 1.77/0.63 % (29808)Termination phase: Saturation
% 1.77/0.63
% 1.77/0.63 % (29808)Memory used [KB]: 6140
% 1.77/0.63 % (29808)Time elapsed: 0.007 s
% 1.77/0.63 % (29808)Instructions burned: 7 (million)
% 1.77/0.63 % (29808)------------------------------
% 1.77/0.63 % (29808)------------------------------
% 1.77/0.63 % (29817)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)
% 1.77/0.64 % (29794)Refutation not found, incomplete strategy% (29794)------------------------------
% 1.77/0.64 % (29794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.64 % (29794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.64 % (29794)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.64
% 1.77/0.64 % (29794)Memory used [KB]: 6140
% 1.77/0.64 % (29794)Time elapsed: 0.181 s
% 1.77/0.64 % (29794)Instructions burned: 6 (million)
% 1.77/0.64 % (29794)------------------------------
% 1.77/0.64 % (29794)------------------------------
% 1.77/0.64 % (29798)Instruction limit reached!
% 1.77/0.64 % (29798)------------------------------
% 1.77/0.64 % (29798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.64 % (29798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.64 % (29798)Termination reason: Unknown
% 1.77/0.64 % (29798)Termination phase: Saturation
% 1.77/0.64
% 1.77/0.64 % (29798)Memory used [KB]: 1791
% 1.77/0.64 % (29798)Time elapsed: 0.217 s
% 1.77/0.64 % (29798)Instructions burned: 15 (million)
% 1.77/0.64 % (29798)------------------------------
% 1.77/0.64 % (29798)------------------------------
% 1.77/0.64 % (29799)Instruction limit reached!
% 1.77/0.64 % (29799)------------------------------
% 1.77/0.64 % (29799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.64 % (29799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.64 % (29799)Termination reason: Unknown
% 1.77/0.64 % (29799)Termination phase: Saturation
% 1.77/0.64
% 1.77/0.64 % (29799)Memory used [KB]: 6396
% 1.77/0.64 % (29799)Time elapsed: 0.215 s
% 1.77/0.64 % (29799)Instructions burned: 39 (million)
% 1.77/0.64 % (29799)------------------------------
% 1.77/0.64 % (29799)------------------------------
% 1.77/0.64 % (29812)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)
% 1.77/0.64 % (29821)Instruction limit reached!
% 1.77/0.64 % (29821)------------------------------
% 1.77/0.64 % (29821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.64 % (29821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.64 % (29821)Termination reason: Unknown
% 1.77/0.64 % (29821)Termination phase: Saturation
% 1.77/0.64
% 1.77/0.64 % (29821)Memory used [KB]: 6140
% 1.77/0.64 % (29821)Time elapsed: 0.209 s
% 1.77/0.64 % (29821)Instructions burned: 8 (million)
% 1.77/0.64 % (29821)------------------------------
% 1.77/0.64 % (29821)------------------------------
% 1.77/0.64 % (29805)First to succeed.
% 2.23/0.65 % (29812)Instruction limit reached!
% 2.23/0.65 % (29812)------------------------------
% 2.23/0.65 % (29812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (29812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (29812)Termination reason: Unknown
% 2.23/0.65 % (29812)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (29812)Memory used [KB]: 6140
% 2.23/0.65 % (29812)Time elapsed: 0.217 s
% 2.23/0.65 % (29812)Instructions burned: 12 (million)
% 2.23/0.65 % (29812)------------------------------
% 2.23/0.65 % (29812)------------------------------
% 2.23/0.65 % (29804)Instruction limit reached!
% 2.23/0.65 % (29804)------------------------------
% 2.23/0.65 % (29804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (29804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (29804)Termination reason: Unknown
% 2.23/0.65 % (29804)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (29804)Memory used [KB]: 6140
% 2.23/0.65 % (29804)Time elapsed: 0.008 s
% 2.23/0.65 % (29804)Instructions burned: 7 (million)
% 2.23/0.65 % (29804)------------------------------
% 2.23/0.65 % (29804)------------------------------
% 2.23/0.65 % (29802)Instruction limit reached!
% 2.23/0.65 % (29802)------------------------------
% 2.23/0.65 % (29802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (29802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (29802)Termination reason: Unknown
% 2.23/0.65 % (29802)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (29802)Memory used [KB]: 7036
% 2.23/0.65 % (29802)Time elapsed: 0.214 s
% 2.23/0.65 % (29802)Instructions burned: 34 (million)
% 2.23/0.65 % (29802)------------------------------
% 2.23/0.65 % (29802)------------------------------
% 2.23/0.66 % (29817)Also succeeded, but the first one will report.
% 2.23/0.66 % (29805)Refutation found. Thanks to Tanya!
% 2.23/0.66 % SZS status Theorem for theBenchmark
% 2.23/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.66 % (29805)------------------------------
% 2.23/0.66 % (29805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66 % (29805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66 % (29805)Termination reason: Refutation
% 2.23/0.66
% 2.23/0.66 % (29805)Memory used [KB]: 1663
% 2.23/0.66 % (29805)Time elapsed: 0.201 s
% 2.23/0.66 % (29805)Instructions burned: 10 (million)
% 2.23/0.66 % (29805)------------------------------
% 2.23/0.66 % (29805)------------------------------
% 2.23/0.66 % (29792)Success in time 0.303 s
%------------------------------------------------------------------------------