TSTP Solution File: SET684+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET684+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n005.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 18:21:53 EDT 2022
% Result : Theorem 1.95s 0.62s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 24
% Syntax : Number of formulae : 129 ( 12 unt; 0 def)
% Number of atoms : 793 ( 8 equ)
% Maximal formula atoms : 36 ( 6 avg)
% Number of connectives : 1062 ( 398 ~; 357 |; 239 &)
% ( 15 <=>; 51 =>; 0 <=; 2 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-5 aty)
% Number of variables : 321 ( 207 !; 114 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f841,plain,
$false,
inference(avatar_sat_refutation,[],[f209,f215,f229,f490,f840]) ).
fof(f840,plain,
( ~ spl19_4
| ~ spl19_8 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f839,plain,
( $false
| ~ spl19_4
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f838,f600]) ).
fof(f600,plain,
( ~ member(sK0(sK8,sK9,sK6,sK7),sK4)
| ~ spl19_4
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f599,f156]) ).
fof(f156,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).
fof(f599,plain,
( ~ member(sK0(sK8,sK9,sK6,sK7),sK4)
| ~ ilf_type(sK0(sK8,sK9,sK6,sK7),set_type)
| ~ spl19_4
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f598,f139]) ).
fof(f139,plain,
ilf_type(sK4,set_type),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ilf_type(sK3,set_type)
& ilf_type(sK6,relation_type(sK3,sK4))
& ilf_type(sK8,member_type(sK3))
& ( ~ member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7))
| ! [X7] :
( ~ member(ordered_pair(X7,sK9),sK7)
| ~ member(ordered_pair(sK8,X7),sK6)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7))
| ( member(ordered_pair(sK10,sK9),sK7)
& member(ordered_pair(sK8,sK10),sK6)
& ilf_type(sK10,member_type(sK4)) ) )
& ilf_type(sK9,member_type(sK5))
& ilf_type(sK7,relation_type(sK4,sK5))
& ilf_type(sK5,set_type)
& ~ empty(sK5)
& ~ empty(sK4)
& ilf_type(sK4,set_type)
& ~ empty(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f84,f92,f91,f90,f89,f88,f87,f86,f85]) ).
fof(f85,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(X0,X1))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(X0))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(X1)) ) )
& ( member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),X3)
& ilf_type(X8,member_type(X1)) ) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(X1,X2)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0) )
=> ( ilf_type(sK3,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(sK3,X1))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,X1,X2,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(X1)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,X1,X2,X3,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),X3)
& ilf_type(X8,member_type(X1)) ) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(X1,X2)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(sK3,X1))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,X1,X2,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(X1)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,X1,X2,X3,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),X3)
& ilf_type(X8,member_type(X1)) ) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(X1,X2)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(sK3,sK4))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,sK4,X2,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,sK4,X2,X3,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),X3)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(sK4,X2)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ~ empty(sK4)
& ilf_type(sK4,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(sK3,sK4))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,sK4,X2,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,sK4,X2,X3,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),X3)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(sK4,X2)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
=> ( ? [X3] :
( ilf_type(X3,relation_type(sK3,sK4))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,X3,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),X3)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(sK5)) ) )
& ilf_type(X4,relation_type(sK4,sK5)) ) )
& ilf_type(sK5,set_type)
& ~ empty(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ? [X3] :
( ilf_type(X3,relation_type(sK3,sK4))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,X3,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),X3)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(sK5)) ) )
& ilf_type(X4,relation_type(sK4,sK5)) ) )
=> ( ilf_type(sK6,relation_type(sK3,sK4))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,sK6,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),sK6)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,sK6,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),sK6)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(sK5)) ) )
& ilf_type(X4,relation_type(sK4,sK5)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,sK6,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),sK6)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,sK6,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),sK6)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(sK5)) ) )
& ilf_type(X4,relation_type(sK4,sK5)) )
=> ( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,sK6,sK7))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),sK7)
| ~ member(ordered_pair(X5,X7),sK6)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,sK6,sK7))
| ? [X8] :
( member(ordered_pair(X8,X6),sK7)
& member(ordered_pair(X5,X8),sK6)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(sK5)) ) )
& ilf_type(sK7,relation_type(sK4,sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X5] :
( ilf_type(X5,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,sK6,sK7))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),sK7)
| ~ member(ordered_pair(X5,X7),sK6)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(X5,X6),compose5(sK3,sK4,sK5,sK6,sK7))
| ? [X8] :
( member(ordered_pair(X8,X6),sK7)
& member(ordered_pair(X5,X8),sK6)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(sK5)) ) )
=> ( ilf_type(sK8,member_type(sK3))
& ? [X6] :
( ( ~ member(ordered_pair(sK8,X6),compose5(sK3,sK4,sK5,sK6,sK7))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),sK7)
| ~ member(ordered_pair(sK8,X7),sK6)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(sK8,X6),compose5(sK3,sK4,sK5,sK6,sK7))
| ? [X8] :
( member(ordered_pair(X8,X6),sK7)
& member(ordered_pair(sK8,X8),sK6)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(sK5)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X6] :
( ( ~ member(ordered_pair(sK8,X6),compose5(sK3,sK4,sK5,sK6,sK7))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),sK7)
| ~ member(ordered_pair(sK8,X7),sK6)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(sK8,X6),compose5(sK3,sK4,sK5,sK6,sK7))
| ? [X8] :
( member(ordered_pair(X8,X6),sK7)
& member(ordered_pair(sK8,X8),sK6)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(X6,member_type(sK5)) )
=> ( ( ~ member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7))
| ! [X7] :
( ~ member(ordered_pair(X7,sK9),sK7)
| ~ member(ordered_pair(sK8,X7),sK6)
| ~ ilf_type(X7,member_type(sK4)) ) )
& ( member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7))
| ? [X8] :
( member(ordered_pair(X8,sK9),sK7)
& member(ordered_pair(sK8,X8),sK6)
& ilf_type(X8,member_type(sK4)) ) )
& ilf_type(sK9,member_type(sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ? [X8] :
( member(ordered_pair(X8,sK9),sK7)
& member(ordered_pair(sK8,X8),sK6)
& ilf_type(X8,member_type(sK4)) )
=> ( member(ordered_pair(sK10,sK9),sK7)
& member(ordered_pair(sK8,sK10),sK6)
& ilf_type(sK10,member_type(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(X0,X1))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(X0))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(X1)) ) )
& ( member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
| ? [X8] :
( member(ordered_pair(X8,X6),X4)
& member(ordered_pair(X5,X8),X3)
& ilf_type(X8,member_type(X1)) ) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(X1,X2)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(X0,X1))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(X0))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(X1)) ) )
& ( member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
| ? [X7] :
( member(ordered_pair(X7,X6),X4)
& member(ordered_pair(X5,X7),X3)
& ilf_type(X7,member_type(X1)) ) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(X1,X2)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(X0,X1))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(X0))
& ? [X6] :
( ( ~ member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
| ! [X7] :
( ~ member(ordered_pair(X7,X6),X4)
| ~ member(ordered_pair(X5,X7),X3)
| ~ ilf_type(X7,member_type(X1)) ) )
& ( member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4))
| ? [X7] :
( member(ordered_pair(X7,X6),X4)
& member(ordered_pair(X5,X7),X3)
& ilf_type(X7,member_type(X1)) ) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(X1,X2)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(X0,X1))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(X0))
& ? [X6] :
( ( ? [X7] :
( member(ordered_pair(X7,X6),X4)
& member(ordered_pair(X5,X7),X3)
& ilf_type(X7,member_type(X1)) )
<~> member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4)) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(X1,X2)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(X0,X1))
& ? [X4] :
( ? [X5] :
( ilf_type(X5,member_type(X0))
& ? [X6] :
( ( ? [X7] :
( member(ordered_pair(X7,X6),X4)
& member(ordered_pair(X5,X7),X3)
& ilf_type(X7,member_type(X1)) )
<~> member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4)) )
& ilf_type(X6,member_type(X2)) ) )
& ilf_type(X4,relation_type(X1,X2)) ) )
& ~ empty(X2)
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ! [X5] :
( ilf_type(X5,member_type(X0))
=> ! [X6] :
( ilf_type(X6,member_type(X2))
=> ( ? [X7] :
( member(ordered_pair(X7,X6),X4)
& member(ordered_pair(X5,X7),X3)
& ilf_type(X7,member_type(X1)) )
<=> member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4)) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ! [X5] :
( ilf_type(X5,member_type(X0))
=> ! [X6] :
( ilf_type(X6,member_type(X2))
=> ( ? [X7] :
( member(ordered_pair(X7,X6),X4)
& member(ordered_pair(X5,X7),X3)
& ilf_type(X7,member_type(X1)) )
<=> member(ordered_pair(X5,X6),compose5(X0,X1,X2,X3,X4)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_51) ).
fof(f598,plain,
( ~ member(sK0(sK8,sK9,sK6,sK7),sK4)
| ~ ilf_type(sK4,set_type)
| ~ ilf_type(sK0(sK8,sK9,sK6,sK7),set_type)
| ~ spl19_4
| ~ spl19_8 ),
inference(resolution,[],[f553,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f165,f162]) ).
fof(f162,plain,
! [X2,X0] :
( ~ empty(X0)
| ~ ilf_type(X0,set_type)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ( member(sK13(X0),X0)
& ilf_type(sK13(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f102,f103]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK13(X0),X0)
& ilf_type(sK13(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) ) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f165,plain,
! [X0,X1] :
( empty(X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| ( ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) )
& ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f553,plain,
( ~ ilf_type(sK0(sK8,sK9,sK6,sK7),member_type(sK4))
| ~ spl19_4
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f541,f508]) ).
fof(f508,plain,
( member(ordered_pair(sK0(sK8,sK9,sK6,sK7),sK9),sK7)
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f507,f156]) ).
fof(f507,plain,
( member(ordered_pair(sK0(sK8,sK9,sK6,sK7),sK9),sK7)
| ~ ilf_type(sK9,set_type)
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f506,f156]) ).
fof(f506,plain,
( member(ordered_pair(sK0(sK8,sK9,sK6,sK7),sK9),sK7)
| ~ ilf_type(sK8,set_type)
| ~ ilf_type(sK9,set_type)
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f505,f346]) ).
fof(f346,plain,
ilf_type(sK6,binary_relation_type),
inference(subsumption_resolution,[],[f345,f156]) ).
fof(f345,plain,
( ~ ilf_type(sK6,set_type)
| ilf_type(sK6,binary_relation_type) ),
inference(resolution,[],[f336,f193]) ).
fof(f193,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) )
& ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) )
& ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( ( relation_like(X0)
& ilf_type(X0,set_type) )
<=> ilf_type(X0,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ( relation_like(X0)
& ilf_type(X0,set_type) )
<=> ilf_type(X0,binary_relation_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f336,plain,
relation_like(sK6),
inference(resolution,[],[f335,f150]) ).
fof(f150,plain,
ilf_type(sK6,relation_type(sK3,sK4)),
inference(cnf_transformation,[],[f93]) ).
fof(f335,plain,
! [X3,X4,X5] :
( ~ ilf_type(X3,relation_type(X4,X5))
| relation_like(X3) ),
inference(subsumption_resolution,[],[f334,f156]) ).
fof(f334,plain,
! [X3,X4,X5] :
( relation_like(X3)
| ~ ilf_type(X3,relation_type(X4,X5))
| ~ ilf_type(X4,set_type) ),
inference(subsumption_resolution,[],[f333,f156]) ).
fof(f333,plain,
! [X3,X4,X5] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type)
| relation_like(X3)
| ~ ilf_type(X3,relation_type(X4,X5)) ),
inference(duplicate_literal_removal,[],[f331]) ).
fof(f331,plain,
! [X3,X4,X5] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X3,relation_type(X4,X5))
| relation_like(X3) ),
inference(resolution,[],[f155,f172]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type)
| relation_like(X2)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(f155,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f505,plain,
( ~ ilf_type(sK6,binary_relation_type)
| member(ordered_pair(sK0(sK8,sK9,sK6,sK7),sK9),sK7)
| ~ ilf_type(sK8,set_type)
| ~ ilf_type(sK9,set_type)
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f492,f351]) ).
fof(f351,plain,
ilf_type(sK7,binary_relation_type),
inference(subsumption_resolution,[],[f350,f156]) ).
fof(f350,plain,
( ilf_type(sK7,binary_relation_type)
| ~ ilf_type(sK7,set_type) ),
inference(resolution,[],[f337,f193]) ).
fof(f337,plain,
relation_like(sK7),
inference(resolution,[],[f335,f143]) ).
fof(f143,plain,
ilf_type(sK7,relation_type(sK4,sK5)),
inference(cnf_transformation,[],[f93]) ).
fof(f492,plain,
( ~ ilf_type(sK7,binary_relation_type)
| member(ordered_pair(sK0(sK8,sK9,sK6,sK7),sK9),sK7)
| ~ ilf_type(sK9,set_type)
| ~ ilf_type(sK8,set_type)
| ~ ilf_type(sK6,binary_relation_type)
| ~ spl19_4 ),
inference(resolution,[],[f491,f120]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),compose(X2,X3))
| ~ ilf_type(X1,set_type)
| member(ordered_pair(sK0(X0,X1,X2,X3),X1),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ! [X3] :
( ~ ilf_type(X3,binary_relation_type)
| ( ( member(ordered_pair(X0,X1),compose(X2,X3))
| ! [X4] :
( ~ member(ordered_pair(X4,X1),X3)
| ~ member(ordered_pair(X0,X4),X2)
| ~ ilf_type(X4,set_type) ) )
& ( ( member(ordered_pair(sK0(X0,X1,X2,X3),X1),X3)
& member(ordered_pair(X0,sK0(X0,X1,X2,X3)),X2)
& ilf_type(sK0(X0,X1,X2,X3),set_type) )
| ~ member(ordered_pair(X0,X1),compose(X2,X3)) ) ) )
| ~ ilf_type(X2,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f69,f70]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ? [X5] :
( member(ordered_pair(X5,X1),X3)
& member(ordered_pair(X0,X5),X2)
& ilf_type(X5,set_type) )
=> ( member(ordered_pair(sK0(X0,X1,X2,X3),X1),X3)
& member(ordered_pair(X0,sK0(X0,X1,X2,X3)),X2)
& ilf_type(sK0(X0,X1,X2,X3),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ! [X3] :
( ~ ilf_type(X3,binary_relation_type)
| ( ( member(ordered_pair(X0,X1),compose(X2,X3))
| ! [X4] :
( ~ member(ordered_pair(X4,X1),X3)
| ~ member(ordered_pair(X0,X4),X2)
| ~ ilf_type(X4,set_type) ) )
& ( ? [X5] :
( member(ordered_pair(X5,X1),X3)
& member(ordered_pair(X0,X5),X2)
& ilf_type(X5,set_type) )
| ~ member(ordered_pair(X0,X1),compose(X2,X3)) ) ) )
| ~ ilf_type(X2,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ! [X3] :
( ~ ilf_type(X3,binary_relation_type)
| ( ( member(ordered_pair(X0,X1),compose(X2,X3))
| ! [X4] :
( ~ member(ordered_pair(X4,X1),X3)
| ~ member(ordered_pair(X0,X4),X2)
| ~ ilf_type(X4,set_type) ) )
& ( ? [X4] :
( member(ordered_pair(X4,X1),X3)
& member(ordered_pair(X0,X4),X2)
& ilf_type(X4,set_type) )
| ~ member(ordered_pair(X0,X1),compose(X2,X3)) ) ) )
| ~ ilf_type(X2,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ! [X3] :
( ~ ilf_type(X3,binary_relation_type)
| ( member(ordered_pair(X0,X1),compose(X2,X3))
<=> ? [X4] :
( member(ordered_pair(X4,X1),X3)
& member(ordered_pair(X0,X4),X2)
& ilf_type(X4,set_type) ) ) )
| ~ ilf_type(X2,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ! [X3] :
( ilf_type(X3,binary_relation_type)
=> ( member(ordered_pair(X0,X1),compose(X2,X3))
<=> ? [X4] :
( member(ordered_pair(X4,X1),X3)
& member(ordered_pair(X0,X4),X2)
& ilf_type(X4,set_type) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f491,plain,
( member(ordered_pair(sK8,sK9),compose(sK6,sK7))
| ~ spl19_4 ),
inference(forward_demodulation,[],[f208,f476]) ).
fof(f476,plain,
compose(sK6,sK7) = compose5(sK3,sK4,sK5,sK6,sK7),
inference(resolution,[],[f405,f143]) ).
fof(f405,plain,
! [X8,X7] :
( ~ ilf_type(X7,relation_type(sK4,X8))
| compose(sK6,X7) = compose5(sK3,sK4,X8,sK6,X7) ),
inference(subsumption_resolution,[],[f404,f156]) ).
fof(f404,plain,
! [X8,X7] :
( ~ ilf_type(X7,relation_type(sK4,X8))
| compose(sK6,X7) = compose5(sK3,sK4,X8,sK6,X7)
| ~ ilf_type(X8,set_type) ),
inference(subsumption_resolution,[],[f403,f139]) ).
fof(f403,plain,
! [X8,X7] :
( ~ ilf_type(X7,relation_type(sK4,X8))
| compose(sK6,X7) = compose5(sK3,sK4,X8,sK6,X7)
| ~ ilf_type(sK4,set_type)
| ~ ilf_type(X8,set_type) ),
inference(subsumption_resolution,[],[f395,f151]) ).
fof(f151,plain,
ilf_type(sK3,set_type),
inference(cnf_transformation,[],[f93]) ).
fof(f395,plain,
! [X8,X7] :
( compose(sK6,X7) = compose5(sK3,sK4,X8,sK6,X7)
| ~ ilf_type(sK3,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X7,relation_type(sK4,X8))
| ~ ilf_type(sK4,set_type) ),
inference(resolution,[],[f180,f150]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X4] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X4,relation_type(X1,X2))
| compose5(X0,X1,X2,X3,X4) = compose(X3,X4)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ! [X4] :
( compose5(X0,X1,X2,X3,X4) = compose(X3,X4)
| ~ ilf_type(X4,relation_type(X1,X2)) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> compose5(X0,X1,X2,X3,X4) = compose(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f208,plain,
( member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7))
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl19_4
<=> member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f541,plain,
( ~ member(ordered_pair(sK0(sK8,sK9,sK6,sK7),sK9),sK7)
| ~ ilf_type(sK0(sK8,sK9,sK6,sK7),member_type(sK4))
| ~ spl19_4
| ~ spl19_8 ),
inference(resolution,[],[f504,f228]) ).
fof(f228,plain,
( ! [X7] :
( ~ member(ordered_pair(sK8,X7),sK6)
| ~ ilf_type(X7,member_type(sK4))
| ~ member(ordered_pair(X7,sK9),sK7) )
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl19_8
<=> ! [X7] :
( ~ ilf_type(X7,member_type(sK4))
| ~ member(ordered_pair(sK8,X7),sK6)
| ~ member(ordered_pair(X7,sK9),sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
fof(f504,plain,
( member(ordered_pair(sK8,sK0(sK8,sK9,sK6,sK7)),sK6)
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f503,f156]) ).
fof(f503,plain,
( member(ordered_pair(sK8,sK0(sK8,sK9,sK6,sK7)),sK6)
| ~ ilf_type(sK8,set_type)
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f502,f156]) ).
fof(f502,plain,
( ~ ilf_type(sK9,set_type)
| ~ ilf_type(sK8,set_type)
| member(ordered_pair(sK8,sK0(sK8,sK9,sK6,sK7)),sK6)
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f501,f346]) ).
fof(f501,plain,
( ~ ilf_type(sK6,binary_relation_type)
| ~ ilf_type(sK9,set_type)
| ~ ilf_type(sK8,set_type)
| member(ordered_pair(sK8,sK0(sK8,sK9,sK6,sK7)),sK6)
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f493,f351]) ).
fof(f493,plain,
( ~ ilf_type(sK7,binary_relation_type)
| ~ ilf_type(sK9,set_type)
| member(ordered_pair(sK8,sK0(sK8,sK9,sK6,sK7)),sK6)
| ~ ilf_type(sK8,set_type)
| ~ ilf_type(sK6,binary_relation_type)
| ~ spl19_4 ),
inference(resolution,[],[f491,f119]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),compose(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X0,sK0(X0,X1,X2,X3)),X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,binary_relation_type) ),
inference(cnf_transformation,[],[f71]) ).
fof(f838,plain,
( member(sK0(sK8,sK9,sK6,sK7),sK4)
| ~ spl19_4 ),
inference(resolution,[],[f552,f150]) ).
fof(f552,plain,
( ! [X2,X3] :
( ~ ilf_type(sK6,relation_type(X2,X3))
| member(sK0(sK8,sK9,sK6,sK7),X3) )
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f551,f156]) ).
fof(f551,plain,
( ! [X2,X3] :
( member(sK0(sK8,sK9,sK6,sK7),X3)
| ~ ilf_type(sK6,relation_type(X2,X3))
| ~ ilf_type(sK8,set_type) )
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f550,f156]) ).
fof(f550,plain,
( ! [X2,X3] :
( ~ ilf_type(sK6,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(sK8,set_type)
| member(sK0(sK8,sK9,sK6,sK7),X3) )
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f549,f156]) ).
fof(f549,plain,
( ! [X2,X3] :
( ~ ilf_type(sK0(sK8,sK9,sK6,sK7),set_type)
| ~ ilf_type(X3,set_type)
| member(sK0(sK8,sK9,sK6,sK7),X3)
| ~ ilf_type(sK6,relation_type(X2,X3))
| ~ ilf_type(sK8,set_type) )
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f543,f156]) ).
fof(f543,plain,
( ! [X2,X3] :
( ~ ilf_type(X2,set_type)
| ~ ilf_type(sK8,set_type)
| ~ ilf_type(sK6,relation_type(X2,X3))
| member(sK0(sK8,sK9,sK6,sK7),X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(sK0(sK8,sK9,sK6,sK7),set_type) )
| ~ spl19_4 ),
inference(resolution,[],[f504,f129]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f490,plain,
( ~ spl19_3
| spl19_4
| ~ spl19_5 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f489,plain,
( $false
| ~ spl19_3
| spl19_4
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f488,f351]) ).
fof(f488,plain,
( ~ ilf_type(sK7,binary_relation_type)
| ~ spl19_3
| spl19_4
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f487,f479]) ).
fof(f479,plain,
( ~ member(ordered_pair(sK8,sK9),compose(sK6,sK7))
| spl19_4 ),
inference(backward_demodulation,[],[f207,f476]) ).
fof(f207,plain,
( ~ member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7))
| spl19_4 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f487,plain,
( ~ ilf_type(sK7,binary_relation_type)
| member(ordered_pair(sK8,sK9),compose(sK6,sK7))
| ~ spl19_3
| ~ spl19_5 ),
inference(resolution,[],[f434,f204]) ).
fof(f204,plain,
( member(ordered_pair(sK10,sK9),sK7)
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl19_3
<=> member(ordered_pair(sK10,sK9),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f434,plain,
( ! [X2,X3] :
( ~ member(ordered_pair(sK10,X2),X3)
| member(ordered_pair(sK8,X2),compose(sK6,X3))
| ~ ilf_type(X3,binary_relation_type) )
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f433,f346]) ).
fof(f433,plain,
( ! [X2,X3] :
( ~ ilf_type(sK6,binary_relation_type)
| ~ member(ordered_pair(sK10,X2),X3)
| member(ordered_pair(sK8,X2),compose(sK6,X3))
| ~ ilf_type(X3,binary_relation_type) )
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f432,f156]) ).
fof(f432,plain,
( ! [X2,X3] :
( member(ordered_pair(sK8,X2),compose(sK6,X3))
| ~ ilf_type(X3,binary_relation_type)
| ~ member(ordered_pair(sK10,X2),X3)
| ~ ilf_type(sK10,set_type)
| ~ ilf_type(sK6,binary_relation_type) )
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f431,f156]) ).
fof(f431,plain,
( ! [X2,X3] :
( member(ordered_pair(sK8,X2),compose(sK6,X3))
| ~ member(ordered_pair(sK10,X2),X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(sK6,binary_relation_type)
| ~ ilf_type(sK10,set_type)
| ~ ilf_type(X3,binary_relation_type) )
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f430,f156]) ).
fof(f430,plain,
( ! [X2,X3] :
( member(ordered_pair(sK8,X2),compose(sK6,X3))
| ~ member(ordered_pair(sK10,X2),X3)
| ~ ilf_type(sK8,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(sK10,set_type)
| ~ ilf_type(sK6,binary_relation_type) )
| ~ spl19_5 ),
inference(resolution,[],[f121,f214]) ).
fof(f214,plain,
( member(ordered_pair(sK8,sK10),sK6)
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl19_5
<=> member(ordered_pair(sK8,sK10),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X0,X4),X2)
| ~ ilf_type(X0,set_type)
| member(ordered_pair(X0,X1),compose(X2,X3))
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,X1),X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type) ),
inference(cnf_transformation,[],[f71]) ).
fof(f229,plain,
( spl19_8
| ~ spl19_4 ),
inference(avatar_split_clause,[],[f148,f206,f227]) ).
fof(f148,plain,
! [X7] :
( ~ member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7))
| ~ ilf_type(X7,member_type(sK4))
| ~ member(ordered_pair(X7,sK9),sK7)
| ~ member(ordered_pair(sK8,X7),sK6) ),
inference(cnf_transformation,[],[f93]) ).
fof(f215,plain,
( spl19_5
| spl19_4 ),
inference(avatar_split_clause,[],[f146,f206,f212]) ).
fof(f146,plain,
( member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7))
| member(ordered_pair(sK8,sK10),sK6) ),
inference(cnf_transformation,[],[f93]) ).
fof(f209,plain,
( spl19_3
| spl19_4 ),
inference(avatar_split_clause,[],[f147,f206,f202]) ).
fof(f147,plain,
( member(ordered_pair(sK8,sK9),compose5(sK3,sK4,sK5,sK6,sK7))
| member(ordered_pair(sK10,sK9),sK7) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET684+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 14:13:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (9162)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)
% 0.20/0.50 % (9154)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (9153)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)
% 0.20/0.51 % (9161)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)
% 0.20/0.51 % (9152)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (9163)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (9162)Instruction limit reached!
% 0.20/0.51 % (9162)------------------------------
% 0.20/0.51 % (9162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9152)Instruction limit reached!
% 0.20/0.52 % (9152)------------------------------
% 0.20/0.52 % (9152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9152)Termination reason: Unknown
% 0.20/0.52 % (9152)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (9152)Memory used [KB]: 1535
% 0.20/0.52 % (9152)Time elapsed: 0.005 s
% 0.20/0.52 % (9152)Instructions burned: 3 (million)
% 0.20/0.52 % (9152)------------------------------
% 0.20/0.52 % (9152)------------------------------
% 0.20/0.52 % (9168)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (9161)Instruction limit reached!
% 0.20/0.52 % (9161)------------------------------
% 0.20/0.52 % (9161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9161)Termination reason: Unknown
% 0.20/0.52 % (9161)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (9161)Memory used [KB]: 6140
% 0.20/0.52 % (9161)Time elapsed: 0.006 s
% 0.20/0.52 % (9161)Instructions burned: 7 (million)
% 0.20/0.52 % (9161)------------------------------
% 0.20/0.52 % (9161)------------------------------
% 0.20/0.52 % (9174)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)
% 0.20/0.52 % (9150)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (9172)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (9153)Refutation not found, incomplete strategy% (9153)------------------------------
% 0.20/0.52 % (9153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9153)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (9153)Memory used [KB]: 6140
% 0.20/0.52 % (9153)Time elapsed: 0.121 s
% 0.20/0.52 % (9153)Instructions burned: 10 (million)
% 0.20/0.52 % (9153)------------------------------
% 0.20/0.52 % (9153)------------------------------
% 0.20/0.53 % (9168)Instruction limit reached!
% 0.20/0.53 % (9168)------------------------------
% 0.20/0.53 % (9168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9168)Termination reason: Unknown
% 0.20/0.53 % (9168)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (9168)Memory used [KB]: 1535
% 0.20/0.53 % (9168)Time elapsed: 0.003 s
% 0.20/0.53 % (9168)Instructions burned: 4 (million)
% 0.20/0.53 % (9168)------------------------------
% 0.20/0.53 % (9168)------------------------------
% 0.20/0.53 % (9176)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)
% 0.20/0.53 % (9171)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)
% 0.20/0.53 % (9155)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (9162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9162)Termination reason: Unknown
% 0.20/0.53 % (9162)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (9162)Memory used [KB]: 1791
% 0.20/0.53 % (9162)Time elapsed: 0.103 s
% 0.20/0.53 % (9162)Instructions burned: 18 (million)
% 0.20/0.53 % (9162)------------------------------
% 0.20/0.53 % (9162)------------------------------
% 0.20/0.53 % (9151)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)
% 0.20/0.53 % (9154)Instruction limit reached!
% 0.20/0.53 % (9154)------------------------------
% 0.20/0.53 % (9154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9154)Termination reason: Unknown
% 0.20/0.53 % (9154)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (9154)Memory used [KB]: 6268
% 0.20/0.53 % (9154)Time elapsed: 0.116 s
% 0.20/0.53 % (9154)Instructions burned: 14 (million)
% 0.20/0.53 % (9154)------------------------------
% 0.20/0.53 % (9154)------------------------------
% 0.20/0.54 % (9156)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (9170)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)
% 0.20/0.54 % (9157)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (9160)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54 % (9158)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (9180)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.55 % (9169)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (9164)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)
% 0.20/0.55 % (9177)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)
% 0.20/0.55 % (9178)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)
% 0.20/0.55 % (9173)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)
% 0.20/0.55 % (9167)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)
% 0.20/0.55 % (9170)Instruction limit reached!
% 0.20/0.55 % (9170)------------------------------
% 0.20/0.55 % (9170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9159)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)
% 0.20/0.55 % (9177)Refutation not found, incomplete strategy% (9177)------------------------------
% 0.20/0.55 % (9177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9151)Instruction limit reached!
% 0.20/0.55 % (9151)------------------------------
% 0.20/0.55 % (9151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9169)Instruction limit reached!
% 0.20/0.55 % (9169)------------------------------
% 0.20/0.55 % (9169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (9169)Termination reason: Unknown
% 0.20/0.55 % (9169)Termination phase: Preprocessing 3
% 0.20/0.55
% 0.20/0.55 % (9169)Memory used [KB]: 1407
% 0.20/0.55 % (9169)Time elapsed: 0.004 s
% 0.20/0.55 % (9169)Instructions burned: 2 (million)
% 0.20/0.55 % (9169)------------------------------
% 0.20/0.55 % (9169)------------------------------
% 0.20/0.55 % (9175)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)
% 0.20/0.56 % (9155)Instruction limit reached!
% 0.20/0.56 % (9155)------------------------------
% 0.20/0.56 % (9155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (9167)Refutation not found, incomplete strategy% (9167)------------------------------
% 0.20/0.56 % (9167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (9160)Instruction limit reached!
% 0.20/0.56 % (9160)------------------------------
% 0.20/0.56 % (9160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (9179)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)
% 0.20/0.56 % (9164)Instruction limit reached!
% 0.20/0.56 % (9164)------------------------------
% 0.20/0.56 % (9164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (9179)Instruction limit reached!
% 0.20/0.56 % (9179)------------------------------
% 0.20/0.56 % (9179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (9179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (9179)Termination reason: Unknown
% 0.20/0.56 % (9179)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (9179)Memory used [KB]: 6140
% 0.20/0.56 % (9155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (9179)Time elapsed: 0.154 s
% 0.20/0.56 % (9179)Instructions burned: 9 (million)
% 0.20/0.56 % (9179)------------------------------
% 0.20/0.56 % (9179)------------------------------
% 0.20/0.56 % (9155)Termination reason: Unknown
% 0.20/0.56 % (9155)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (9155)Memory used [KB]: 1663
% 0.20/0.56 % (9155)Time elapsed: 0.159 s
% 0.20/0.56 % (9155)Instructions burned: 15 (million)
% 0.20/0.56 % (9155)------------------------------
% 0.20/0.56 % (9155)------------------------------
% 0.20/0.57 % (9151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (9151)Termination reason: Unknown
% 0.20/0.57 % (9151)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (9151)Memory used [KB]: 6268
% 0.20/0.57 % (9151)Time elapsed: 0.139 s
% 0.20/0.57 % (9151)Instructions burned: 14 (million)
% 0.20/0.57 % (9151)------------------------------
% 0.20/0.57 % (9151)------------------------------
% 0.20/0.57 % (9166)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57 % (9164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (9164)Termination reason: Unknown
% 0.20/0.57 % (9164)Termination phase: Property scanning
% 0.20/0.57
% 0.20/0.57 % (9164)Memory used [KB]: 1535
% 0.20/0.57 % (9164)Time elapsed: 0.004 s
% 0.20/0.57 % (9164)Instructions burned: 4 (million)
% 0.20/0.57 % (9164)------------------------------
% 0.20/0.57 % (9164)------------------------------
% 0.20/0.57 % (9177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (9160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (9177)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (9160)Termination reason: Unknown
% 0.20/0.57 % (9177)Memory used [KB]: 6268
% 0.20/0.57 % (9177)Time elapsed: 0.155 s
% 0.20/0.57 % (9160)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (9177)Instructions burned: 12 (million)
% 0.20/0.57 % (9177)------------------------------
% 0.20/0.57 % (9177)------------------------------
% 0.20/0.57 % (9160)Memory used [KB]: 6140
% 0.20/0.57 % (9160)Time elapsed: 0.156 s
% 0.20/0.57 % (9160)Instructions burned: 12 (million)
% 0.20/0.57 % (9160)------------------------------
% 0.20/0.57 % (9160)------------------------------
% 0.20/0.57 % (9167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (9167)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (9167)Memory used [KB]: 6140
% 0.20/0.57 % (9167)Time elapsed: 0.157 s
% 0.20/0.57 % (9167)Instructions burned: 7 (million)
% 0.20/0.57 % (9167)------------------------------
% 0.20/0.57 % (9167)------------------------------
% 0.20/0.57 % (9166)Instruction limit reached!
% 0.20/0.57 % (9166)------------------------------
% 0.20/0.57 % (9166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (9170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (9170)Termination reason: Unknown
% 0.20/0.57 % (9170)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (9170)Memory used [KB]: 6268
% 0.20/0.57 % (9170)Time elapsed: 0.148 s
% 0.20/0.57 % (9170)Instructions burned: 11 (million)
% 0.20/0.57 % (9170)------------------------------
% 0.20/0.57 % (9170)------------------------------
% 0.20/0.58 % (9166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (9166)Termination reason: Unknown
% 0.20/0.58 % (9166)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (9166)Memory used [KB]: 6140
% 0.20/0.58 % (9166)Time elapsed: 0.160 s
% 0.20/0.58 % (9166)Instructions burned: 8 (million)
% 0.20/0.58 % (9166)------------------------------
% 0.20/0.58 % (9166)------------------------------
% 0.20/0.58 % (9171)Instruction limit reached!
% 0.20/0.58 % (9171)------------------------------
% 0.20/0.58 % (9171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (9171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (9171)Termination reason: Unknown
% 0.20/0.58 % (9171)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (9171)Memory used [KB]: 6268
% 0.20/0.58 % (9171)Time elapsed: 0.172 s
% 0.20/0.58 % (9171)Instructions burned: 30 (million)
% 0.20/0.58 % (9171)------------------------------
% 0.20/0.58 % (9171)------------------------------
% 0.20/0.58 % (9180)Instruction limit reached!
% 0.20/0.58 % (9180)------------------------------
% 0.20/0.58 % (9180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (9180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (9180)Termination reason: Unknown
% 0.20/0.58 % (9180)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (9180)Memory used [KB]: 6396
% 0.20/0.58 % (9180)Time elapsed: 0.168 s
% 0.20/0.58 % (9180)Instructions burned: 25 (million)
% 0.20/0.58 % (9180)------------------------------
% 0.20/0.58 % (9180)------------------------------
% 0.20/0.58 % (9156)Instruction limit reached!
% 0.20/0.58 % (9156)------------------------------
% 0.20/0.58 % (9156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (9156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (9156)Termination reason: Unknown
% 0.20/0.58 % (9156)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (9156)Memory used [KB]: 6268
% 0.20/0.58 % (9156)Time elapsed: 0.175 s
% 0.20/0.58 % (9156)Instructions burned: 41 (million)
% 0.20/0.58 % (9156)------------------------------
% 0.20/0.58 % (9156)------------------------------
% 0.20/0.59 % (9174)Instruction limit reached!
% 0.20/0.59 % (9174)------------------------------
% 0.20/0.59 % (9174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (9174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (9174)Termination reason: Unknown
% 0.20/0.59 % (9174)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (9174)Memory used [KB]: 2046
% 0.20/0.59 % (9174)Time elapsed: 0.145 s
% 0.20/0.59 % (9174)Instructions burned: 45 (million)
% 0.20/0.59 % (9174)------------------------------
% 0.20/0.59 % (9174)------------------------------
% 0.20/0.60 % (9157)Instruction limit reached!
% 0.20/0.60 % (9157)------------------------------
% 0.20/0.60 % (9157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (9157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (9157)Termination reason: Unknown
% 0.20/0.60 % (9157)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (9157)Memory used [KB]: 6524
% 0.20/0.60 % (9157)Time elapsed: 0.144 s
% 0.20/0.60 % (9157)Instructions burned: 40 (million)
% 0.20/0.60 % (9157)------------------------------
% 0.20/0.60 % (9157)------------------------------
% 1.95/0.61 % (9178)Instruction limit reached!
% 1.95/0.61 % (9178)------------------------------
% 1.95/0.61 % (9178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61 % (9163)Instruction limit reached!
% 1.95/0.61 % (9163)------------------------------
% 1.95/0.61 % (9163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61 % (9163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61 % (9163)Termination reason: Unknown
% 1.95/0.61 % (9163)Termination phase: Saturation
% 1.95/0.61
% 1.95/0.61 % (9163)Memory used [KB]: 6908
% 1.95/0.61 % (9163)Time elapsed: 0.199 s
% 1.95/0.61 % (9163)Instructions burned: 51 (million)
% 1.95/0.61 % (9163)------------------------------
% 1.95/0.61 % (9163)------------------------------
% 1.95/0.61 % (9178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61 % (9178)Termination reason: Unknown
% 1.95/0.61 % (9178)Termination phase: Saturation
% 1.95/0.61
% 1.95/0.61 % (9178)Memory used [KB]: 6524
% 1.95/0.61 % (9178)Time elapsed: 0.210 s
% 1.95/0.61 % (9178)Instructions burned: 26 (million)
% 1.95/0.61 % (9178)------------------------------
% 1.95/0.61 % (9178)------------------------------
% 1.95/0.62 % (9159)Instruction limit reached!
% 1.95/0.62 % (9159)------------------------------
% 1.95/0.62 % (9159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62 % (9176)First to succeed.
% 1.95/0.62 % (9159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62 % (9159)Termination reason: Unknown
% 1.95/0.62 % (9159)Termination phase: Saturation
% 1.95/0.62
% 1.95/0.62 % (9159)Memory used [KB]: 6652
% 1.95/0.62 % (9159)Time elapsed: 0.210 s
% 1.95/0.62 % (9159)Instructions burned: 34 (million)
% 1.95/0.62 % (9159)------------------------------
% 1.95/0.62 % (9159)------------------------------
% 1.95/0.62 % (9176)Refutation found. Thanks to Tanya!
% 1.95/0.62 % SZS status Theorem for theBenchmark
% 1.95/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.62 % (9176)------------------------------
% 1.95/0.62 % (9176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.62 % (9176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.62 % (9176)Termination reason: Refutation
% 1.95/0.62
% 1.95/0.62 % (9176)Memory used [KB]: 6780
% 1.95/0.62 % (9176)Time elapsed: 0.202 s
% 1.95/0.62 % (9176)Instructions burned: 40 (million)
% 1.95/0.62 % (9176)------------------------------
% 1.95/0.62 % (9176)------------------------------
% 1.95/0.62 % (9147)Success in time 0.271 s
%------------------------------------------------------------------------------