TSTP Solution File: SET686+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET686+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 : n009.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 1.61s 0.56s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 24
% Syntax : Number of formulae : 124 ( 8 unt; 0 def)
% Number of atoms : 669 ( 7 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 875 ( 330 ~; 295 |; 188 &)
% ( 17 <=>; 43 =>; 0 <=; 2 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-4 aty)
% Number of variables : 287 ( 211 !; 76 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f449,plain,
$false,
inference(avatar_sat_refutation,[],[f188,f193,f239,f356,f396,f412,f448]) ).
fof(f448,plain,
( ~ spl17_1
| spl17_2
| ~ spl17_3 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl17_1
| spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f445,f413]) ).
fof(f413,plain,
( ~ member(sK15,inverse2(sK14,sK12))
| spl17_2 ),
inference(forward_demodulation,[],[f186,f324]) ).
fof(f324,plain,
! [X3] : inverse4(sK11,sK13,sK14,X3) = inverse2(sK14,X3),
inference(subsumption_resolution,[],[f323,f135]) ).
fof(f135,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f323,plain,
! [X3] :
( ~ ilf_type(X3,set_type)
| inverse4(sK11,sK13,sK14,X3) = inverse2(sK14,X3) ),
inference(subsumption_resolution,[],[f322,f135]) ).
fof(f322,plain,
! [X3] :
( ~ ilf_type(sK11,set_type)
| ~ ilf_type(X3,set_type)
| inverse4(sK11,sK13,sK14,X3) = inverse2(sK14,X3) ),
inference(subsumption_resolution,[],[f320,f168]) ).
fof(f168,plain,
ilf_type(sK13,set_type),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ilf_type(sK11,set_type)
& ~ empty(sK11)
& ~ empty(sK12)
& ~ empty(sK13)
& ilf_type(sK13,set_type)
& ilf_type(sK14,relation_type(sK11,sK13))
& ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(sK15,X5),sK14)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(sK15,inverse4(sK11,sK13,sK14,sK12)) )
& ( ( member(sK16,sK12)
& member(ordered_pair(sK15,sK16),sK14)
& ilf_type(sK16,member_type(sK13)) )
| member(sK15,inverse4(sK11,sK13,sK14,sK12)) )
& ilf_type(sK15,member_type(sK11))
& ilf_type(sK12,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16])],[f101,f107,f106,f105,f104,f103,f102]) ).
fof(f102,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ~ empty(X2)
& ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,inverse4(X0,X2,X3,X1)) )
& ( ? [X6] :
( member(X6,X1)
& member(ordered_pair(X4,X6),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,inverse4(X0,X2,X3,X1)) )
& ilf_type(X4,member_type(X0)) ) ) )
& ilf_type(X1,set_type) ) )
=> ( ilf_type(sK11,set_type)
& ~ empty(sK11)
& ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ~ empty(X2)
& ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(sK11,X2))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,inverse4(sK11,X2,X3,X1)) )
& ( ? [X6] :
( member(X6,X1)
& member(ordered_pair(X4,X6),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,inverse4(sK11,X2,X3,X1)) )
& ilf_type(X4,member_type(sK11)) ) ) )
& ilf_type(X1,set_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ~ empty(X2)
& ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(sK11,X2))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,inverse4(sK11,X2,X3,X1)) )
& ( ? [X6] :
( member(X6,X1)
& member(ordered_pair(X4,X6),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,inverse4(sK11,X2,X3,X1)) )
& ilf_type(X4,member_type(sK11)) ) ) )
& ilf_type(X1,set_type) )
=> ( ~ empty(sK12)
& ? [X2] :
( ~ empty(X2)
& ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(sK11,X2))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,inverse4(sK11,X2,X3,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X4,X6),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,inverse4(sK11,X2,X3,sK12)) )
& ilf_type(X4,member_type(sK11)) ) ) )
& ilf_type(sK12,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ? [X2] :
( ~ empty(X2)
& ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(sK11,X2))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,inverse4(sK11,X2,X3,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X4,X6),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,inverse4(sK11,X2,X3,sK12)) )
& ilf_type(X4,member_type(sK11)) ) ) )
=> ( ~ empty(sK13)
& ilf_type(sK13,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(sK11,sK13))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(X4,inverse4(sK11,sK13,X3,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X4,X6),X3)
& ilf_type(X6,member_type(sK13)) )
| member(X4,inverse4(sK11,sK13,X3,sK12)) )
& ilf_type(X4,member_type(sK11)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X3] :
( ilf_type(X3,relation_type(sK11,sK13))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(X4,inverse4(sK11,sK13,X3,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X4,X6),X3)
& ilf_type(X6,member_type(sK13)) )
| member(X4,inverse4(sK11,sK13,X3,sK12)) )
& ilf_type(X4,member_type(sK11)) ) )
=> ( ilf_type(sK14,relation_type(sK11,sK13))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X4,X5),sK14)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(X4,inverse4(sK11,sK13,sK14,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X4,X6),sK14)
& ilf_type(X6,member_type(sK13)) )
| member(X4,inverse4(sK11,sK13,sK14,sK12)) )
& ilf_type(X4,member_type(sK11)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X4,X5),sK14)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(X4,inverse4(sK11,sK13,sK14,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X4,X6),sK14)
& ilf_type(X6,member_type(sK13)) )
| member(X4,inverse4(sK11,sK13,sK14,sK12)) )
& ilf_type(X4,member_type(sK11)) )
=> ( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(sK15,X5),sK14)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(sK15,inverse4(sK11,sK13,sK14,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(sK15,X6),sK14)
& ilf_type(X6,member_type(sK13)) )
| member(sK15,inverse4(sK11,sK13,sK14,sK12)) )
& ilf_type(sK15,member_type(sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(sK15,X6),sK14)
& ilf_type(X6,member_type(sK13)) )
=> ( member(sK16,sK12)
& member(ordered_pair(sK15,sK16),sK14)
& ilf_type(sK16,member_type(sK13)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ~ empty(X2)
& ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,inverse4(X0,X2,X3,X1)) )
& ( ? [X6] :
( member(X6,X1)
& member(ordered_pair(X4,X6),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,inverse4(X0,X2,X3,X1)) )
& ilf_type(X4,member_type(X0)) ) ) )
& ilf_type(X1,set_type) ) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ~ empty(X2)
& ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,inverse4(X0,X2,X3,X1)) )
& ( ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) )
| member(X4,inverse4(X0,X2,X3,X1)) )
& ilf_type(X4,member_type(X0)) ) ) )
& ilf_type(X1,set_type) ) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ~ empty(X2)
& ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X4,X5),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,inverse4(X0,X2,X3,X1)) )
& ( ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) )
| member(X4,inverse4(X0,X2,X3,X1)) )
& ilf_type(X4,member_type(X0)) ) ) )
& ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ empty(X0)
& ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ~ empty(X2)
& ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ( member(X4,inverse4(X0,X2,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) )
& ilf_type(X4,member_type(X0)) ) ) )
& ilf_type(X1,set_type) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ilf_type(X3,relation_type(X0,X2))
& ? [X4] :
( ( member(X4,inverse4(X0,X2,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) )
& ilf_type(X4,member_type(X0)) ) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,inverse4(X0,X2,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,inverse4(X0,X2,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_53) ).
fof(f320,plain,
! [X3] :
( ~ ilf_type(sK13,set_type)
| ~ ilf_type(sK11,set_type)
| inverse4(sK11,sK13,sK14,X3) = inverse2(sK14,X3)
| ~ ilf_type(X3,set_type) ),
inference(resolution,[],[f127,f167]) ).
fof(f167,plain,
ilf_type(sK14,relation_type(sK11,sK13)),
inference(cnf_transformation,[],[f108]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ! [X3] :
( inverse4(X0,X1,X2,X3) = inverse2(X2,X3)
| ~ ilf_type(X3,set_type) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
fof(f186,plain,
( ~ member(sK15,inverse4(sK11,sK13,sK14,sK12))
| spl17_2 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl17_2
<=> member(sK15,inverse4(sK11,sK13,sK14,sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f445,plain,
( member(sK15,inverse2(sK14,sK12))
| ~ spl17_1
| ~ spl17_3 ),
inference(resolution,[],[f430,f192]) ).
fof(f192,plain,
( member(sK16,sK12)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl17_3
<=> member(sK16,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f430,plain,
( ! [X2] :
( ~ member(sK16,X2)
| member(sK15,inverse2(sK14,X2)) )
| ~ spl17_1 ),
inference(subsumption_resolution,[],[f417,f286]) ).
fof(f286,plain,
ilf_type(sK14,binary_relation_type),
inference(resolution,[],[f281,f203]) ).
fof(f203,plain,
! [X0] :
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(subsumption_resolution,[],[f178,f135]) ).
fof(f178,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f281,plain,
relation_like(sK14),
inference(resolution,[],[f279,f167]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,relation_type(X0,X2))
| relation_like(X1) ),
inference(subsumption_resolution,[],[f278,f135]) ).
fof(f278,plain,
! [X2,X0,X1] :
( relation_like(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,relation_type(X0,X2)) ),
inference(subsumption_resolution,[],[f277,f135]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| relation_like(X1)
| ~ ilf_type(X1,relation_type(X0,X2))
| ~ ilf_type(X2,set_type) ),
inference(resolution,[],[f141,f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f204,f135]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f152,f135]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,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',p24) ).
fof(f141,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) )
| ~ ilf_type(X0,set_type) ),
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(f417,plain,
( ! [X2] :
( ~ member(sK16,X2)
| member(sK15,inverse2(sK14,X2))
| ~ ilf_type(sK14,binary_relation_type) )
| ~ spl17_1 ),
inference(resolution,[],[f183,f223]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X1,X3),X2)
| member(X1,inverse2(X2,X0))
| ~ member(X3,X0)
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f222,f135]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X3),X2)
| member(X1,inverse2(X2,X0))
| ~ member(X3,X0) ),
inference(subsumption_resolution,[],[f221,f135]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X3,X0)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X3),X2)
| member(X1,inverse2(X2,X0)) ),
inference(subsumption_resolution,[],[f114,f135]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(X3,X0)
| member(X1,inverse2(X2,X0))
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X3),X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( member(X1,inverse2(X2,X0))
| ! [X3] :
( ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) ) )
& ( ( member(ordered_pair(X1,sK0(X0,X1,X2)),X2)
& ilf_type(sK0(X0,X1,X2),set_type)
& member(sK0(X0,X1,X2),X0) )
| ~ member(X1,inverse2(X2,X0)) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f64,f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ? [X4] :
( member(ordered_pair(X1,X4),X2)
& ilf_type(X4,set_type)
& member(X4,X0) )
=> ( member(ordered_pair(X1,sK0(X0,X1,X2)),X2)
& ilf_type(sK0(X0,X1,X2),set_type)
& member(sK0(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( member(X1,inverse2(X2,X0))
| ! [X3] :
( ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) ) )
& ( ? [X4] :
( member(ordered_pair(X1,X4),X2)
& ilf_type(X4,set_type)
& member(X4,X0) )
| ~ member(X1,inverse2(X2,X0)) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( member(X1,inverse2(X2,X0))
| ! [X3] :
( ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) ) )
& ( ? [X3] :
( member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type)
& member(X3,X0) )
| ~ member(X1,inverse2(X2,X0)) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( member(X1,inverse2(X2,X0))
<=> ? [X3] :
( member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type)
& member(X3,X0) ) ) )
| ~ ilf_type(X1,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)
=> ( member(X1,inverse2(X2,X0))
<=> ? [X3] :
( member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type)
& member(X3,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f183,plain,
( member(ordered_pair(sK15,sK16),sK14)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl17_1
<=> member(ordered_pair(sK15,sK16),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f412,plain,
( ~ spl17_2
| spl17_11 ),
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl17_2
| spl17_11 ),
inference(subsumption_resolution,[],[f410,f286]) ).
fof(f410,plain,
( ~ ilf_type(sK14,binary_relation_type)
| ~ spl17_2
| spl17_11 ),
inference(subsumption_resolution,[],[f409,f326]) ).
fof(f326,plain,
( member(sK15,inverse2(sK14,sK12))
| ~ spl17_2 ),
inference(backward_demodulation,[],[f187,f324]) ).
fof(f187,plain,
( member(sK15,inverse4(sK11,sK13,sK14,sK12))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f409,plain,
( ~ member(sK15,inverse2(sK14,sK12))
| ~ ilf_type(sK14,binary_relation_type)
| spl17_11 ),
inference(resolution,[],[f355,f244]) ).
fof(f244,plain,
! [X2,X0,X1] :
( member(sK0(X0,X1,X2),X0)
| ~ member(X1,inverse2(X2,X0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f243,f135]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type)
| member(sK0(X0,X1,X2),X0)
| ~ member(X1,inverse2(X2,X0)) ),
inference(subsumption_resolution,[],[f111,f135]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,inverse2(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type)
| member(sK0(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f355,plain,
( ~ member(sK0(sK12,sK15,sK14),sK12)
| spl17_11 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f353,plain,
( spl17_11
<=> member(sK0(sK12,sK15,sK14),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f396,plain,
( ~ spl17_2
| spl17_10 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl17_2
| spl17_10 ),
inference(subsumption_resolution,[],[f394,f366]) ).
fof(f366,plain,
( ~ member(sK0(sK12,sK15,sK14),sK13)
| spl17_10 ),
inference(subsumption_resolution,[],[f365,f168]) ).
fof(f365,plain,
( ~ member(sK0(sK12,sK15,sK14),sK13)
| ~ ilf_type(sK13,set_type)
| spl17_10 ),
inference(subsumption_resolution,[],[f364,f135]) ).
fof(f364,plain,
( ~ ilf_type(sK0(sK12,sK15,sK14),set_type)
| ~ member(sK0(sK12,sK15,sK14),sK13)
| ~ ilf_type(sK13,set_type)
| spl17_10 ),
inference(resolution,[],[f351,f194]) ).
fof(f194,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f122,f149]) ).
fof(f149,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) )
& ( empty(X0)
| ( member(sK8(X0),X0)
& ilf_type(sK8(X0),set_type) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f90,f91]) ).
fof(f91,plain,
! [X0] :
( ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type) )
=> ( member(sK8(X0),X0)
& ilf_type(sK8(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ( ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) )
& ( empty(X0)
| ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) )
& ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
<=> empty(X0) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) )
<=> empty(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f122,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) )
& ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ) )
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f58]) ).
fof(f58,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(f351,plain,
( ~ ilf_type(sK0(sK12,sK15,sK14),member_type(sK13))
| spl17_10 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl17_10
<=> ilf_type(sK0(sK12,sK15,sK14),member_type(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f394,plain,
( member(sK0(sK12,sK15,sK14),sK13)
| ~ spl17_2 ),
inference(resolution,[],[f338,f167]) ).
fof(f338,plain,
( ! [X3,X4] :
( ~ ilf_type(sK14,relation_type(X4,X3))
| member(sK0(sK12,sK15,sK14),X3) )
| ~ spl17_2 ),
inference(resolution,[],[f334,f214]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| member(X3,X1)
| ~ ilf_type(X4,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f213,f135]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4] :
( ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| member(X3,X1)
| ~ member(ordered_pair(X2,X3),X4) ),
inference(subsumption_resolution,[],[f212,f135]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4] :
( ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| member(X3,X1)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f211,f135]) ).
fof(f211,plain,
! [X2,X3,X0,X1,X4] :
( ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X2,X3),X4)
| member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f155,f135]) ).
fof(f155,plain,
! [X2,X3,X0,X1,X4] :
( ~ ilf_type(X4,relation_type(X0,X1))
| member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X2,X3),X4) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ member(ordered_pair(X2,X3),X4) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f54]) ).
fof(f54,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(f334,plain,
( member(ordered_pair(sK15,sK0(sK12,sK15,sK14)),sK14)
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f332,f286]) ).
fof(f332,plain,
( member(ordered_pair(sK15,sK0(sK12,sK15,sK14)),sK14)
| ~ ilf_type(sK14,binary_relation_type)
| ~ spl17_2 ),
inference(resolution,[],[f326,f218]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ member(X1,inverse2(X2,X0))
| member(ordered_pair(X1,sK0(X0,X1,X2)),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(subsumption_resolution,[],[f217,f135]) ).
fof(f217,plain,
! [X2,X0,X1] :
( member(ordered_pair(X1,sK0(X0,X1,X2)),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X1,inverse2(X2,X0)) ),
inference(subsumption_resolution,[],[f113,f135]) ).
fof(f113,plain,
! [X2,X0,X1] :
( member(ordered_pair(X1,sK0(X0,X1,X2)),X2)
| ~ ilf_type(X1,set_type)
| ~ member(X1,inverse2(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f66]) ).
fof(f356,plain,
( ~ spl17_10
| ~ spl17_11
| ~ spl17_2
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f335,f237,f185,f353,f349]) ).
fof(f237,plain,
( spl17_7
<=> ! [X5] :
( ~ member(ordered_pair(sK15,X5),sK14)
| ~ ilf_type(X5,member_type(sK13))
| ~ member(X5,sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f335,plain,
( ~ member(sK0(sK12,sK15,sK14),sK12)
| ~ ilf_type(sK0(sK12,sK15,sK14),member_type(sK13))
| ~ spl17_2
| ~ spl17_7 ),
inference(resolution,[],[f334,f238]) ).
fof(f238,plain,
( ! [X5] :
( ~ member(ordered_pair(sK15,X5),sK14)
| ~ member(X5,sK12)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( ~ spl17_2
| spl17_7 ),
inference(avatar_split_clause,[],[f166,f237,f185]) ).
fof(f166,plain,
! [X5] :
( ~ member(ordered_pair(sK15,X5),sK14)
| ~ member(X5,sK12)
| ~ member(sK15,inverse4(sK11,sK13,sK14,sK12))
| ~ ilf_type(X5,member_type(sK13)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f193,plain,
( spl17_3
| spl17_2 ),
inference(avatar_split_clause,[],[f165,f185,f190]) ).
fof(f165,plain,
( member(sK15,inverse4(sK11,sK13,sK14,sK12))
| member(sK16,sK12) ),
inference(cnf_transformation,[],[f108]) ).
fof(f188,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f164,f185,f181]) ).
fof(f164,plain,
( member(sK15,inverse4(sK11,sK13,sK14,sK12))
| member(ordered_pair(sK15,sK16),sK14) ),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET686+3 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 30 14:11:20 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.49 % (32430)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)
% 0.20/0.49 % (32422)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)
% 0.20/0.49 % (32412)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)
% 0.20/0.50 % (32422)Instruction limit reached!
% 0.20/0.50 % (32422)------------------------------
% 0.20/0.50 % (32422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (32422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (32422)Termination reason: Unknown
% 0.20/0.50 % (32422)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (32422)Memory used [KB]: 1535
% 0.20/0.50 % (32422)Time elapsed: 0.005 s
% 0.20/0.50 % (32422)Instructions burned: 3 (million)
% 0.20/0.50 % (32422)------------------------------
% 0.20/0.50 % (32422)------------------------------
% 0.20/0.50 % (32414)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)
% 0.20/0.50 % (32411)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)
% 0.20/0.50 % (32410)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 % (32418)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)
% 0.20/0.52 % (32418)Instruction limit reached!
% 0.20/0.52 % (32418)------------------------------
% 0.20/0.52 % (32418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32431)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 % (32433)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)
% 0.20/0.52 % (32435)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)
% 0.20/0.52 % (32432)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)
% 0.20/0.52 % (32412)Instruction limit reached!
% 0.20/0.52 % (32412)------------------------------
% 0.20/0.52 % (32412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32412)Termination reason: Unknown
% 0.20/0.52 % (32412)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (32412)Memory used [KB]: 6268
% 0.20/0.52 % (32412)Time elapsed: 0.131 s
% 0.20/0.52 % (32412)Instructions burned: 14 (million)
% 0.20/0.52 % (32412)------------------------------
% 0.20/0.52 % (32412)------------------------------
% 0.20/0.52 % (32408)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 % (32409)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)
% 0.20/0.52 % (32410)Instruction limit reached!
% 0.20/0.52 % (32410)------------------------------
% 0.20/0.52 % (32410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32410)Termination reason: Unknown
% 0.20/0.52 % (32410)Termination phase: Clausification
% 0.20/0.52
% 0.20/0.52 % (32410)Memory used [KB]: 1535
% 0.20/0.52 % (32410)Time elapsed: 0.003 s
% 0.20/0.52 % (32410)Instructions burned: 3 (million)
% 0.20/0.52 % (32410)------------------------------
% 0.20/0.52 % (32410)------------------------------
% 0.20/0.52 % (32428)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)
% 0.20/0.52 % (32434)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)
% 1.43/0.53 % (32427)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)
% 1.43/0.53 % (32425)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.43/0.53 % (32423)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)
% 1.43/0.53 % (32409)Refutation not found, incomplete strategy% (32409)------------------------------
% 1.43/0.53 % (32409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (32409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (32409)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.53
% 1.43/0.53 % (32409)Memory used [KB]: 6140
% 1.43/0.53 % (32409)Time elapsed: 0.136 s
% 1.43/0.53 % (32409)Instructions burned: 7 (million)
% 1.43/0.53 % (32409)------------------------------
% 1.43/0.53 % (32409)------------------------------
% 1.43/0.53 % (32425)Instruction limit reached!
% 1.43/0.53 % (32425)------------------------------
% 1.43/0.53 % (32425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (32425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (32425)Termination reason: Unknown
% 1.43/0.53 % (32425)Termination phase: Finite model building preprocessing
% 1.43/0.53
% 1.43/0.53 % (32425)Memory used [KB]: 1535
% 1.43/0.53 % (32425)Time elapsed: 0.003 s
% 1.43/0.53 % (32425)Instructions burned: 5 (million)
% 1.43/0.53 % (32425)------------------------------
% 1.43/0.53 % (32425)------------------------------
% 1.43/0.53 % (32426)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)
% 1.43/0.53 % (32426)Instruction limit reached!
% 1.43/0.53 % (32426)------------------------------
% 1.43/0.53 % (32426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (32426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (32426)Termination reason: Unknown
% 1.43/0.53 % (32426)Termination phase: Preprocessing 1
% 1.43/0.53
% 1.43/0.53 % (32426)Memory used [KB]: 1407
% 1.43/0.53 % (32421)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)
% 1.43/0.53 % (32426)Time elapsed: 0.003 s
% 1.43/0.53 % (32426)Instructions burned: 2 (million)
% 1.43/0.53 % (32426)------------------------------
% 1.43/0.53 % (32426)------------------------------
% 1.43/0.53 % (32417)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)
% 1.43/0.53 % (32418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (32418)Termination reason: Unknown
% 1.43/0.53 % (32418)Termination phase: Saturation
% 1.43/0.53
% 1.43/0.53 % (32418)Memory used [KB]: 6140
% 1.43/0.53 % (32418)Time elapsed: 0.108 s
% 1.43/0.53 % (32418)Instructions burned: 12 (million)
% 1.43/0.53 % (32418)------------------------------
% 1.43/0.53 % (32418)------------------------------
% 1.43/0.53 % (32436)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)
% 1.43/0.53 % (32423)Instruction limit reached!
% 1.43/0.53 % (32423)------------------------------
% 1.43/0.53 % (32423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (32423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (32423)Termination reason: Unknown
% 1.43/0.53 % (32423)Termination phase: Saturation
% 1.43/0.53
% 1.43/0.53 % (32423)Memory used [KB]: 6140
% 1.43/0.53 % (32423)Time elapsed: 0.139 s
% 1.43/0.53 % (32423)Instructions burned: 8 (million)
% 1.43/0.53 % (32423)------------------------------
% 1.43/0.53 % (32423)------------------------------
% 1.43/0.53 % (32424)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.43/0.53 % (32415)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)
% 1.43/0.53 % (32436)Instruction limit reached!
% 1.43/0.53 % (32436)------------------------------
% 1.43/0.53 % (32436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (32436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (32436)Termination reason: Unknown
% 1.43/0.53 % (32436)Termination phase: Saturation
% 1.43/0.53
% 1.43/0.53 % (32436)Memory used [KB]: 6140
% 1.43/0.53 % (32436)Time elapsed: 0.140 s
% 1.43/0.53 % (32436)Instructions burned: 8 (million)
% 1.43/0.53 % (32436)------------------------------
% 1.43/0.53 % (32436)------------------------------
% 1.43/0.53 % (32420)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)
% 1.43/0.53 % (32411)Refutation not found, incomplete strategy% (32411)------------------------------
% 1.43/0.53 % (32411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53 % (32411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53 % (32411)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.53
% 1.43/0.53 % (32411)Memory used [KB]: 6140
% 1.43/0.53 % (32411)Time elapsed: 0.137 s
% 1.43/0.53 % (32411)Instructions burned: 9 (million)
% 1.43/0.53 % (32411)------------------------------
% 1.43/0.53 % (32411)------------------------------
% 1.43/0.53 % (32413)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)
% 1.43/0.54 % (32416)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)
% 1.43/0.54 % (32419)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)
% 1.43/0.54 % (32419)Instruction limit reached!
% 1.43/0.54 % (32419)------------------------------
% 1.43/0.54 % (32419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (32419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (32419)Termination reason: Unknown
% 1.43/0.54 % (32419)Termination phase: Saturation
% 1.43/0.54
% 1.43/0.54 % (32419)Memory used [KB]: 6140
% 1.43/0.54 % (32419)Time elapsed: 0.152 s
% 1.43/0.54 % (32419)Instructions burned: 7 (million)
% 1.43/0.54 % (32419)------------------------------
% 1.43/0.54 % (32419)------------------------------
% 1.61/0.54 % (32429)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)
% 1.61/0.55 % (32427)Instruction limit reached!
% 1.61/0.55 % (32427)------------------------------
% 1.61/0.55 % (32427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.55 % (32427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.55 % (32427)Termination reason: Unknown
% 1.61/0.55 % (32427)Termination phase: Saturation
% 1.61/0.55
% 1.61/0.55 % (32427)Memory used [KB]: 6140
% 1.61/0.55 % (32427)Time elapsed: 0.142 s
% 1.61/0.55 % (32427)Instructions burned: 12 (million)
% 1.61/0.55 % (32427)------------------------------
% 1.61/0.55 % (32427)------------------------------
% 1.61/0.55 % (32433)First to succeed.
% 1.61/0.56 % (32433)Refutation found. Thanks to Tanya!
% 1.61/0.56 % SZS status Theorem for theBenchmark
% 1.61/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.56 % (32433)------------------------------
% 1.61/0.56 % (32433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.56 % (32433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56 % (32433)Termination reason: Refutation
% 1.61/0.56
% 1.61/0.56 % (32433)Memory used [KB]: 6268
% 1.61/0.56 % (32433)Time elapsed: 0.162 s
% 1.61/0.56 % (32433)Instructions burned: 14 (million)
% 1.61/0.56 % (32433)------------------------------
% 1.61/0.56 % (32433)------------------------------
% 1.61/0.56 % (32407)Success in time 0.207 s
%------------------------------------------------------------------------------