TSTP Solution File: SEU184+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU184+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 18:27:11 EDT 2022
% Result : Theorem 2.29s 0.68s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 20
% Syntax : Number of formulae : 114 ( 13 unt; 0 def)
% Number of atoms : 493 ( 53 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 605 ( 226 ~; 254 |; 77 &)
% ( 18 <=>; 30 =>; 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 : 286 ( 232 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f407,plain,
$false,
inference(subsumption_resolution,[],[f406,f344]) ).
fof(f344,plain,
in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))),
inference(subsumption_resolution,[],[f343,f162]) ).
fof(f162,plain,
relation(sK15),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( relation(sK14)
& subset(relation_rng(sK14),relation_dom(sK15))
& relation(sK15)
& relation_dom(sK14) != relation_dom(relation_composition(sK14,sK15)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f59,f110,f109]) ).
fof(f109,plain,
( ? [X0] :
( relation(X0)
& ? [X1] :
( subset(relation_rng(X0),relation_dom(X1))
& relation(X1)
& relation_dom(X0) != relation_dom(relation_composition(X0,X1)) ) )
=> ( relation(sK14)
& ? [X1] :
( subset(relation_rng(sK14),relation_dom(X1))
& relation(X1)
& relation_dom(sK14) != relation_dom(relation_composition(sK14,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X1] :
( subset(relation_rng(sK14),relation_dom(X1))
& relation(X1)
& relation_dom(sK14) != relation_dom(relation_composition(sK14,X1)) )
=> ( subset(relation_rng(sK14),relation_dom(sK15))
& relation(sK15)
& relation_dom(sK14) != relation_dom(relation_composition(sK14,sK15)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( subset(relation_rng(X0),relation_dom(X1))
& relation(X1)
& relation_dom(X0) != relation_dom(relation_composition(X0,X1)) ) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
? [X0] :
( ? [X1] :
( relation_dom(X0) != relation_dom(relation_composition(X0,X1))
& subset(relation_rng(X0),relation_dom(X1))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(X0) = relation_dom(relation_composition(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(X0) = relation_dom(relation_composition(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_relat_1) ).
fof(f343,plain,
( in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| ~ relation(sK15) ),
inference(subsumption_resolution,[],[f342,f164]) ).
fof(f164,plain,
relation(sK14),
inference(cnf_transformation,[],[f111]) ).
fof(f342,plain,
( ~ relation(sK14)
| ~ relation(sK15)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))) ),
inference(resolution,[],[f341,f121]) ).
fof(f121,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_composition(X1,X0))
| ~ relation(X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X1,X0)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f341,plain,
( ~ relation(relation_composition(sK14,sK15))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))) ),
inference(subsumption_resolution,[],[f340,f190]) ).
fof(f190,plain,
! [X2,X0,X4] :
( ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X0)
| in(X2,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f176]) ).
fof(f176,plain,
! [X2,X0,X1,X4] :
( in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f140,f170]) ).
fof(f170,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
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(f140,plain,
! [X2,X0,X1,X4] :
( in(X2,X1)
| ~ in(ordered_pair(X2,X4),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(ordered_pair(X2,sK4(X0,X2)),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X2,X4),X0) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ~ in(sK5(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(sK5(X0,X1),X6),X0) )
& ( in(sK5(X0,X1),X1)
| in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f86,f89,f88,f87]) ).
fof(f87,plain,
! [X0,X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
=> in(ordered_pair(X2,sK4(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) ) )
=> ( ( ~ in(sK5(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(sK5(X0,X1),X6),X0) )
& ( in(sK5(X0,X1),X1)
| ? [X7] : in(ordered_pair(sK5(X0,X1),X7),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK5(X0,X1),X7),X0)
=> in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X2,X4),X0) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
<=> in(X2,X1) )
<=> relation_dom(X0) = X1 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
<=> in(X2,X1) )
<=> relation_dom(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f340,plain,
( ~ relation(relation_composition(sK14,sK15))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(sK15,sK6(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),relation_composition(sK14,sK15)) ),
inference(subsumption_resolution,[],[f337,f164]) ).
fof(f337,plain,
( ~ relation(relation_composition(sK14,sK15))
| ~ relation(sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(sK15,sK6(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),relation_composition(sK14,sK15)) ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f335,plain,
( ~ relation(sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(sK15,sK6(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),relation_composition(sK14,sK15))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| ~ relation(relation_composition(sK14,sK15)) ),
inference(resolution,[],[f284,f217]) ).
fof(f217,plain,
( in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK6(sK14,relation_dom(relation_composition(sK14,sK15)))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))) ),
inference(subsumption_resolution,[],[f215,f164]) ).
fof(f215,plain,
( in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK6(sK14,relation_dom(relation_composition(sK14,sK15)))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14)
| ~ relation(sK14) ),
inference(resolution,[],[f210,f201]) ).
fof(f201,plain,
! [X0,X1] :
( sQ19_eqProxy(relation_dom(X0),X1)
| in(unordered_pair(unordered_pair(sK5(X0,X1),sK6(X0,X1)),singleton(sK5(X0,X1))),X0)
| ~ relation(X0)
| in(sK5(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f178,f198]) ).
fof(f198,plain,
! [X0,X1] :
( sQ19_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ19_eqProxy])]) ).
fof(f178,plain,
! [X0,X1] :
( relation_dom(X0) = X1
| in(sK5(X0,X1),X1)
| in(unordered_pair(unordered_pair(sK5(X0,X1),sK6(X0,X1)),singleton(sK5(X0,X1))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f138,f170]) ).
fof(f138,plain,
! [X0,X1] :
( relation_dom(X0) = X1
| in(sK5(X0,X1),X1)
| in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f210,plain,
~ sQ19_eqProxy(relation_dom(sK14),relation_dom(relation_composition(sK14,sK15))),
inference(equality_proxy_replacement,[],[f161,f198]) ).
fof(f161,plain,
relation_dom(sK14) != relation_dom(relation_composition(sK14,sK15)),
inference(cnf_transformation,[],[f111]) ).
fof(f284,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,sK6(sK14,relation_dom(relation_composition(sK14,sK15)))),singleton(X1)),X0)
| ~ relation(X0)
| ~ relation(relation_composition(X0,sK15))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| in(unordered_pair(unordered_pair(X1,sK4(sK15,sK6(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(X1)),relation_composition(X0,sK15)) ),
inference(subsumption_resolution,[],[f279,f162]) ).
fof(f279,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X1,sK4(sK15,sK6(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(X1)),relation_composition(X0,sK15))
| ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X1,sK6(sK14,relation_dom(relation_composition(sK14,sK15)))),singleton(X1)),X0)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| ~ relation(sK15)
| ~ relation(relation_composition(X0,sK15)) ),
inference(resolution,[],[f246,f191]) ).
fof(f191,plain,
! [X0,X1,X8,X9,X7] :
( ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X0,X1,X8,X9,X7] :
( ~ relation(X1)
| in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f145,f170,f170,f170]) ).
fof(f145,plain,
! [X2,X0,X1,X8,X9,X7] :
( ~ relation(X1)
| in(ordered_pair(X7,X8),X2)
| ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK8(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK7(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X1)
& in(ordered_pair(sK7(X0,X1,X2),sK9(X0,X1,X2)),X0) )
| in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ( in(ordered_pair(sK10(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK10(X0,X1,X7,X8)),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f92,f95,f94,f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) )
=> ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK8(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK7(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,sK8(X0,X1,X2)),X1)
& in(ordered_pair(sK7(X0,X1,X2),X6),X0) )
| in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ? [X6] :
( in(ordered_pair(X6,sK8(X0,X1,X2)),X1)
& in(ordered_pair(sK7(X0,X1,X2),X6),X0) )
=> ( in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X1)
& in(ordered_pair(sK7(X0,X1,X2),sK9(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X1,X7,X8] :
( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
=> ( in(ordered_pair(sK10(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK10(X0,X1,X7,X8)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X4,X3] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X3),X1)
| ~ in(ordered_pair(X4,X5),X0) )
| ~ in(ordered_pair(X4,X3),X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X3),X1)
& in(ordered_pair(X4,X5),X0) )
| in(ordered_pair(X4,X3),X2) ) ) )
& ( ! [X4,X3] :
( ( in(ordered_pair(X4,X3),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X3),X1)
| ~ in(ordered_pair(X4,X5),X0) ) )
& ( ? [X5] :
( in(ordered_pair(X5,X3),X1)
& in(ordered_pair(X4,X5),X0) )
| ~ in(ordered_pair(X4,X3),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( relation_composition(X0,X1) = X2
<=> ! [X4,X3] :
( in(ordered_pair(X4,X3),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X3),X1)
& in(ordered_pair(X4,X5),X0) ) ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( relation_composition(X0,X1) = X2
<=> ! [X4,X3] :
( in(ordered_pair(X4,X3),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X3),X1)
& in(ordered_pair(X4,X5),X0) ) ) ) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(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) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f246,plain,
( in(unordered_pair(unordered_pair(sK6(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(sK15,sK6(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK6(sK14,relation_dom(relation_composition(sK14,sK15))))),sK15)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))) ),
inference(subsumption_resolution,[],[f242,f162]) ).
fof(f242,plain,
( in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| ~ relation(sK15)
| in(unordered_pair(unordered_pair(sK6(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(sK15,sK6(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK6(sK14,relation_dom(relation_composition(sK14,sK15))))),sK15) ),
inference(resolution,[],[f231,f189]) ).
fof(f189,plain,
! [X2,X0] :
( ~ in(X2,relation_dom(X0))
| in(unordered_pair(unordered_pair(X2,sK4(X0,X2)),singleton(X2)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X2,sK4(X0,X2)),singleton(X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f141,f170]) ).
fof(f141,plain,
! [X2,X0,X1] :
( in(ordered_pair(X2,sK4(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f231,plain,
( in(sK6(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK15))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))) ),
inference(resolution,[],[f227,f213]) ).
fof(f213,plain,
! [X0] :
( ~ in(X0,relation_rng(sK14))
| in(X0,relation_dom(sK15)) ),
inference(resolution,[],[f163,f134]) ).
fof(f134,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( in(sK3(X0,X1),X0)
& ~ in(sK3(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f82,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK3(X0,X1),X0)
& ~ in(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( 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(f163,plain,
subset(relation_rng(sK14),relation_dom(sK15)),
inference(cnf_transformation,[],[f111]) ).
fof(f227,plain,
( in(sK6(sK14,relation_dom(relation_composition(sK14,sK15))),relation_rng(sK14))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))) ),
inference(subsumption_resolution,[],[f222,f164]) ).
fof(f222,plain,
( in(sK6(sK14,relation_dom(relation_composition(sK14,sK15))),relation_rng(sK14))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| ~ relation(sK14) ),
inference(resolution,[],[f217,f194]) ).
fof(f194,plain,
! [X2,X3,X0] :
( ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
| in(X2,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,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,[],[f154,f170]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(ordered_pair(X3,X2),X0)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( in(ordered_pair(sK11(X0,X2),X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ! [X6] : ~ in(ordered_pair(X6,sK12(X0,X1)),X0)
| ~ in(sK12(X0,X1),X1) )
& ( in(ordered_pair(sK13(X0,X1),sK12(X0,X1)),X0)
| in(sK12(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f99,f102,f101,f100]) ).
fof(f100,plain,
! [X0,X2] :
( ? [X4] : in(ordered_pair(X4,X2),X0)
=> in(ordered_pair(sK11(X0,X2),X2),X0) ),
introduced(choice_axiom,[]) ).
fof(f101,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,sK12(X0,X1)),X0)
| ~ in(sK12(X0,X1),X1) )
& ( ? [X7] : in(ordered_pair(X7,sK12(X0,X1)),X0)
| in(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(X7,sK12(X0,X1)),X0)
=> in(ordered_pair(sK13(X0,X1),sK12(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f99,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,[],[f98]) ).
fof(f98,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,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) )
<=> relation_rng(X0) = X1 ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f406,plain,
~ in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))),
inference(subsumption_resolution,[],[f405,f164]) ).
fof(f405,plain,
( ~ relation(sK14)
| ~ in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))) ),
inference(subsumption_resolution,[],[f396,f210]) ).
fof(f396,plain,
( sQ19_eqProxy(relation_dom(sK14),relation_dom(relation_composition(sK14,sK15)))
| ~ relation(sK14)
| ~ in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15))) ),
inference(resolution,[],[f394,f200]) ).
fof(f200,plain,
! [X0,X1,X6] :
( ~ in(unordered_pair(unordered_pair(sK5(X0,X1),X6),singleton(sK5(X0,X1))),X0)
| sQ19_eqProxy(relation_dom(X0),X1)
| ~ in(sK5(X0,X1),X1)
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f177,f198]) ).
fof(f177,plain,
! [X0,X1,X6] :
( relation_dom(X0) = X1
| ~ in(sK5(X0,X1),X1)
| ~ in(unordered_pair(unordered_pair(sK5(X0,X1),X6),singleton(sK5(X0,X1))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f139,f170]) ).
fof(f139,plain,
! [X0,X1,X6] :
( relation_dom(X0) = X1
| ~ in(sK5(X0,X1),X1)
| ~ in(ordered_pair(sK5(X0,X1),X6),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f394,plain,
in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(sK14,sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14),
inference(subsumption_resolution,[],[f390,f164]) ).
fof(f390,plain,
( ~ relation(sK14)
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(sK14,sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14) ),
inference(resolution,[],[f389,f189]) ).
fof(f389,plain,
in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14)),
inference(subsumption_resolution,[],[f388,f164]) ).
fof(f388,plain,
( in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| ~ relation(sK14) ),
inference(subsumption_resolution,[],[f387,f210]) ).
fof(f387,plain,
( sQ19_eqProxy(relation_dom(sK14),relation_dom(relation_composition(sK14,sK15)))
| ~ relation(sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14)) ),
inference(subsumption_resolution,[],[f379,f344]) ).
fof(f379,plain,
( ~ in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| ~ relation(sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| sQ19_eqProxy(relation_dom(sK14),relation_dom(relation_composition(sK14,sK15))) ),
inference(resolution,[],[f351,f200]) ).
fof(f351,plain,
( in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK10(sK14,sK15,sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15)))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14)) ),
inference(subsumption_resolution,[],[f350,f162]) ).
fof(f350,plain,
( in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| ~ relation(sK15)
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK10(sK14,sK15,sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15)))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14) ),
inference(subsumption_resolution,[],[f349,f164]) ).
fof(f349,plain,
( in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK10(sK14,sK15,sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15)))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14)
| ~ relation(sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| ~ relation(sK15) ),
inference(resolution,[],[f302,f121]) ).
fof(f302,plain,
( ~ relation(relation_composition(sK14,sK15))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK10(sK14,sK15,sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15)))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14) ),
inference(subsumption_resolution,[],[f301,f162]) ).
fof(f301,plain,
( ~ relation(sK15)
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK10(sK14,sK15,sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15)))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| ~ relation(relation_composition(sK14,sK15)) ),
inference(subsumption_resolution,[],[f293,f164]) ).
fof(f293,plain,
( ~ relation(sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| ~ relation(sK15)
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK10(sK14,sK15,sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15)))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),sK14)
| ~ relation(relation_composition(sK14,sK15)) ),
inference(resolution,[],[f268,f193]) ).
fof(f193,plain,
! [X0,X1,X8,X7] :
( ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1)
| in(unordered_pair(unordered_pair(X7,sK10(X0,X1,X7,X8)),singleton(X7)),X0) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X1)
| in(unordered_pair(unordered_pair(X7,sK10(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f143,f170,f170]) ).
fof(f143,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X1)
| in(ordered_pair(X7,sK10(X0,X1,X7,X8)),X0)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f268,plain,
( in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),relation_composition(sK14,sK15))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14)) ),
inference(subsumption_resolution,[],[f267,f164]) ).
fof(f267,plain,
( in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),relation_composition(sK14,sK15))
| ~ relation(sK14) ),
inference(subsumption_resolution,[],[f266,f162]) ).
fof(f266,plain,
( in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),relation_composition(sK14,sK15))
| ~ relation(sK15)
| ~ relation(sK14) ),
inference(resolution,[],[f237,f121]) ).
fof(f237,plain,
( ~ relation(relation_composition(sK14,sK15))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14))
| in(unordered_pair(unordered_pair(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),sK4(relation_composition(sK14,sK15),sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),singleton(sK5(sK14,relation_dom(relation_composition(sK14,sK15))))),relation_composition(sK14,sK15)) ),
inference(resolution,[],[f229,f189]) ).
fof(f229,plain,
( in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14)) ),
inference(subsumption_resolution,[],[f221,f164]) ).
fof(f221,plain,
( ~ relation(sK14)
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(relation_composition(sK14,sK15)))
| in(sK5(sK14,relation_dom(relation_composition(sK14,sK15))),relation_dom(sK14)) ),
inference(resolution,[],[f217,f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU184+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % 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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 15:02:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.53 % (6757)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)
% 1.32/0.55 % (6754)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.60/0.56 % (6774)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)
% 1.60/0.56 % (6764)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)
% 1.60/0.58 % (6776)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)
% 1.60/0.58 % (6759)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)
% 1.60/0.58 % (6768)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)
% 1.60/0.58 % (6768)Instruction limit reached!
% 1.60/0.58 % (6768)------------------------------
% 1.60/0.58 % (6768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59 % (6768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (6768)Termination reason: Unknown
% 1.60/0.59 % (6768)Termination phase: Property scanning
% 1.60/0.59
% 1.60/0.59 % (6755)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)
% 1.60/0.59 % (6768)Memory used [KB]: 1535
% 1.60/0.59 % (6768)Time elapsed: 0.004 s
% 1.60/0.59 % (6768)Instructions burned: 3 (million)
% 1.60/0.59 % (6768)------------------------------
% 1.60/0.59 % (6768)------------------------------
% 1.60/0.59 % (6779)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)
% 1.60/0.59 % (6756)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)
% 1.60/0.59 % (6764)Instruction limit reached!
% 1.60/0.59 % (6764)------------------------------
% 1.60/0.59 % (6764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59 % (6764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (6764)Termination reason: Unknown
% 1.60/0.59 % (6764)Termination phase: Saturation
% 1.60/0.59
% 1.60/0.59 % (6764)Memory used [KB]: 6268
% 1.60/0.59 % (6764)Time elapsed: 0.156 s
% 1.60/0.59 % (6764)Instructions burned: 13 (million)
% 1.60/0.59 % (6764)------------------------------
% 1.60/0.59 % (6764)------------------------------
% 1.60/0.59 % (6769)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)
% 1.60/0.59 % (6756)Instruction limit reached!
% 1.60/0.59 % (6756)------------------------------
% 1.60/0.59 % (6756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59 % (6756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (6756)Termination reason: Unknown
% 1.60/0.59 % (6756)Termination phase: Saturation
% 1.60/0.59
% 1.60/0.59 % (6756)Memory used [KB]: 1535
% 1.60/0.59 % (6756)Time elapsed: 0.004 s
% 1.60/0.59 % (6756)Instructions burned: 4 (million)
% 1.60/0.59 % (6756)------------------------------
% 1.60/0.59 % (6756)------------------------------
% 1.60/0.59 % (6758)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)
% 1.60/0.59 % (6760)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)
% 1.60/0.59 % (6780)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)
% 1.60/0.59 % (6767)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)
% 1.60/0.60 % (6773)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)
% 1.60/0.60 % (6777)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)
% 1.60/0.61 % (6781)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)
% 1.60/0.61 % (6771)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.60/0.61 % (6782)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)
% 1.60/0.61 % (6755)Refutation not found, incomplete strategy% (6755)------------------------------
% 1.60/0.61 % (6755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.61 % (6755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.61 % (6755)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.61
% 1.60/0.61 % (6755)Memory used [KB]: 6140
% 1.60/0.61 % (6755)Time elapsed: 0.169 s
% 1.60/0.61 % (6755)Instructions burned: 7 (million)
% 1.60/0.61 % (6755)------------------------------
% 1.60/0.61 % (6755)------------------------------
% 1.60/0.61 % (6759)Instruction limit reached!
% 1.60/0.61 % (6759)------------------------------
% 1.60/0.61 % (6759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.61 % (6759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.61 % (6759)Termination reason: Unknown
% 1.60/0.61 % (6759)Termination phase: Saturation
% 1.60/0.61
% 1.60/0.61 % (6759)Memory used [KB]: 1791
% 1.60/0.61 % (6759)Time elapsed: 0.175 s
% 1.60/0.61 % (6759)Instructions burned: 15 (million)
% 1.60/0.61 % (6759)------------------------------
% 1.60/0.61 % (6759)------------------------------
% 1.60/0.61 % (6761)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)
% 1.60/0.61 % (6778)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)
% 1.60/0.62 % (6769)Instruction limit reached!
% 1.60/0.62 % (6769)------------------------------
% 1.60/0.62 % (6769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.62 % (6769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.62 % (6769)Termination reason: Unknown
% 1.60/0.62 % (6769)Termination phase: Saturation
% 1.60/0.62
% 1.60/0.62 % (6769)Memory used [KB]: 6140
% 1.60/0.62 % (6769)Time elapsed: 0.145 s
% 1.60/0.62 % (6769)Instructions burned: 8 (million)
% 1.60/0.62 % (6769)------------------------------
% 1.60/0.62 % (6769)------------------------------
% 1.60/0.62 % (6772)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)
% 1.60/0.62 % (6774)Instruction limit reached!
% 1.60/0.62 % (6774)------------------------------
% 1.60/0.62 % (6774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.62 % (6770)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)
% 1.60/0.62 % (6774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.62 % (6774)Termination reason: Unknown
% 1.60/0.62 % (6774)Termination phase: Saturation
% 1.60/0.62
% 1.60/0.62 % (6774)Memory used [KB]: 6396
% 1.60/0.62 % (6774)Time elapsed: 0.188 s
% 1.60/0.62 % (6772)Instruction limit reached!
% 1.60/0.62 % (6772)------------------------------
% 1.60/0.62 % (6772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.62 % (6774)Instructions burned: 30 (million)
% 1.60/0.62 % (6772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.62 % (6772)Termination reason: Unknown
% 1.60/0.62 % (6772)Termination phase: Naming
% 1.60/0.62
% 1.60/0.62 % (6772)Memory used [KB]: 1407
% 1.60/0.62 % (6772)Time elapsed: 0.004 s
% 1.60/0.62 % (6772)Instructions burned: 2 (million)
% 1.60/0.62 % (6772)------------------------------
% 1.60/0.62 % (6772)------------------------------
% 1.60/0.62 % (6774)------------------------------
% 1.60/0.62 % (6774)------------------------------
% 1.60/0.62 % (6758)Instruction limit reached!
% 1.60/0.62 % (6758)------------------------------
% 1.60/0.62 % (6758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.62 % (6758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.62 % (6758)Termination reason: Unknown
% 1.60/0.62 % (6758)Termination phase: Saturation
% 1.60/0.62
% 1.60/0.62 % (6758)Memory used [KB]: 6140
% 1.60/0.62 % (6758)Time elapsed: 0.184 s
% 1.60/0.62 % (6758)Instructions burned: 13 (million)
% 1.60/0.62 % (6758)------------------------------
% 1.60/0.62 % (6758)------------------------------
% 1.60/0.62 % (6766)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)
% 1.60/0.62 % (6765)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)
% 1.60/0.63 % (6773)Instruction limit reached!
% 1.60/0.63 % (6773)------------------------------
% 1.60/0.63 % (6773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.63 % (6783)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)
% 1.60/0.63 % (6762)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)
% 1.60/0.63 % (6763)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)
% 1.60/0.63 % (6757)Instruction limit reached!
% 1.60/0.63 % (6757)------------------------------
% 1.60/0.63 % (6757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.63 % (6757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.63 % (6757)Termination reason: Unknown
% 1.60/0.63 % (6757)Termination phase: Saturation
% 1.60/0.63
% 1.60/0.63 % (6757)Memory used [KB]: 7419
% 1.60/0.63 % (6757)Time elapsed: 0.213 s
% 1.60/0.63 % (6757)Instructions burned: 51 (million)
% 1.60/0.63 % (6757)------------------------------
% 1.60/0.63 % (6757)------------------------------
% 1.60/0.63 % (6771)Instruction limit reached!
% 1.60/0.63 % (6771)------------------------------
% 1.60/0.63 % (6771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.63 % (6771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.63 % (6771)Termination reason: Unknown
% 1.60/0.63 % (6771)Termination phase: Function definition elimination
% 1.60/0.63
% 1.60/0.63 % (6771)Memory used [KB]: 1535
% 1.60/0.63 % (6771)Time elapsed: 0.004 s
% 1.60/0.63 % (6771)Instructions burned: 3 (million)
% 1.60/0.63 % (6771)------------------------------
% 1.60/0.63 % (6771)------------------------------
% 1.60/0.63 % (6782)Instruction limit reached!
% 1.60/0.63 % (6782)------------------------------
% 1.60/0.63 % (6782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.63 % (6782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.63 % (6782)Termination reason: Unknown
% 1.60/0.63 % (6782)Termination phase: Saturation
% 1.60/0.63
% 1.60/0.63 % (6782)Memory used [KB]: 6140
% 1.60/0.63 % (6782)Time elapsed: 0.177 s
% 1.60/0.63 % (6782)Instructions burned: 8 (million)
% 1.60/0.63 % (6782)------------------------------
% 1.60/0.63 % (6782)------------------------------
% 1.60/0.63 % (6775)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)
% 1.60/0.65 % (6773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.65 % (6773)Termination reason: Unknown
% 1.60/0.65 % (6773)Termination phase: Saturation
% 1.60/0.65
% 1.60/0.65 % (6773)Memory used [KB]: 6140
% 1.60/0.65 % (6773)Time elapsed: 0.214 s
% 1.60/0.65 % (6773)Instructions burned: 11 (million)
% 1.60/0.65 % (6773)------------------------------
% 1.60/0.65 % (6773)------------------------------
% 2.29/0.65 % (6765)Instruction limit reached!
% 2.29/0.65 % (6765)------------------------------
% 2.29/0.65 % (6765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.65 % (6765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.65 % (6765)Termination reason: Unknown
% 2.29/0.65 % (6765)Termination phase: Saturation
% 2.29/0.65
% 2.29/0.65 % (6765)Memory used [KB]: 6140
% 2.29/0.65 % (6765)Time elapsed: 0.208 s
% 2.29/0.65 % (6765)Instructions burned: 8 (million)
% 2.29/0.65 % (6765)------------------------------
% 2.29/0.65 % (6765)------------------------------
% 2.29/0.65 % (6766)First to succeed.
% 2.29/0.66 % (6781)Instruction limit reached!
% 2.29/0.66 % (6781)------------------------------
% 2.29/0.66 % (6781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.66 % (6781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.66 % (6781)Termination reason: Unknown
% 2.29/0.66 % (6781)Termination phase: Saturation
% 2.29/0.66
% 2.29/0.66 % (6781)Memory used [KB]: 6396
% 2.29/0.66 % (6781)Time elapsed: 0.238 s
% 2.29/0.66 % (6781)Instructions burned: 25 (million)
% 2.29/0.66 % (6781)------------------------------
% 2.29/0.66 % (6781)------------------------------
% 2.29/0.68 % (6763)Instruction limit reached!
% 2.29/0.68 % (6763)------------------------------
% 2.29/0.68 % (6763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.68 % (6763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.68 % (6763)Termination reason: Unknown
% 2.29/0.68 % (6763)Termination phase: Saturation
% 2.29/0.68
% 2.29/0.68 % (6763)Memory used [KB]: 6908
% 2.29/0.68 % (6763)Time elapsed: 0.244 s
% 2.29/0.68 % (6763)Instructions burned: 33 (million)
% 2.29/0.68 % (6763)------------------------------
% 2.29/0.68 % (6763)------------------------------
% 2.29/0.68 % (6766)Refutation found. Thanks to Tanya!
% 2.29/0.68 % SZS status Theorem for theBenchmark
% 2.29/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.68 % (6766)------------------------------
% 2.29/0.68 % (6766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.68 % (6766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.68 % (6766)Termination reason: Refutation
% 2.29/0.68
% 2.29/0.68 % (6766)Memory used [KB]: 1791
% 2.29/0.68 % (6766)Time elapsed: 0.243 s
% 2.29/0.68 % (6766)Instructions burned: 13 (million)
% 2.29/0.68 % (6766)------------------------------
% 2.29/0.68 % (6766)------------------------------
% 2.29/0.68 % (6753)Success in time 0.317 s
%------------------------------------------------------------------------------