TSTP Solution File: SET659+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET659+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 : n019.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 18:21:47 EDT 2022
% Result : Theorem 2.65s 0.76s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 36
% Syntax : Number of formulae : 186 ( 16 unt; 0 def)
% Number of atoms : 791 ( 59 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 988 ( 383 ~; 378 |; 140 &)
% ( 28 <=>; 57 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-3 aty)
% Number of variables : 350 ( 291 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1811,plain,
$false,
inference(avatar_sat_refutation,[],[f238,f254,f262,f867,f1310,f1525,f1787,f1790,f1804,f1805,f1808]) ).
fof(f1808,plain,
( spl22_67
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f1807,f260,f1504]) ).
fof(f1504,plain,
( spl22_67
<=> ! [X10] : ~ member(sF19(X10),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_67])]) ).
fof(f260,plain,
( spl22_8
<=> ! [X4] :
( ~ member(sF19(X4),sK12)
| ~ ilf_type(X4,set_type) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f1807,plain,
( ! [X4] : ~ member(sF19(X4),sK12)
| ~ spl22_8 ),
inference(subsumption_resolution,[],[f261,f144]) ).
fof(f144,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f261,plain,
( ! [X4] :
( ~ member(sF19(X4),sK12)
| ~ ilf_type(X4,set_type) )
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f1805,plain,
( ~ spl22_2
| ~ spl22_1
| spl22_68 ),
inference(avatar_split_clause,[],[f1797,f1507,f231,f235]) ).
fof(f235,plain,
( spl22_2
<=> member(sK13,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f231,plain,
( spl22_1
<=> sF18 = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f1507,plain,
( spl22_68
<=> member(sK13,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_68])]) ).
fof(f1797,plain,
( ~ member(sK13,sK11)
| ~ spl22_1
| spl22_68 ),
inference(backward_demodulation,[],[f1508,f232]) ).
fof(f232,plain,
( sF18 = sK11
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f1508,plain,
( ~ member(sK13,sF18)
| spl22_68 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1804,plain,
( spl22_51
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f1793,f231,f1303]) ).
fof(f1303,plain,
( spl22_51
<=> domain_of(sK12) = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_51])]) ).
fof(f1793,plain,
( domain_of(sK12) = sK11
| ~ spl22_1 ),
inference(backward_demodulation,[],[f1460,f232]) ).
fof(f1460,plain,
sF18 = domain_of(sK12),
inference(subsumption_resolution,[],[f1459,f224]) ).
fof(f224,plain,
ilf_type(sK12,sF21),
inference(definition_folding,[],[f190,f223]) ).
fof(f223,plain,
sF21 = relation_type(sK11,sK10),
introduced(function_definition,[]) ).
fof(f190,plain,
ilf_type(sK12,relation_type(sK11,sK10)),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( ( ilf_type(sK13,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(sK13,X4),sK12) )
& member(sK13,sK11) )
| sK11 != domain(sK11,sK10,sK12) )
& ( ! [X5] :
( ~ ilf_type(X5,set_type)
| ( ilf_type(sK14(X5),set_type)
& member(ordered_pair(X5,sK14(X5)),sK12) )
| ~ member(X5,sK11) )
| sK11 = domain(sK11,sK10,sK12) )
& ilf_type(sK12,relation_type(sK11,sK10))
& ilf_type(sK11,set_type)
& ilf_type(sK10,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f121,f126,f125,f124,f123,f122]) ).
fof(f122,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,X1) )
| domain(X1,X0,X2) != X1 )
& ( ! [X5] :
( ~ ilf_type(X5,set_type)
| ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X5,X6),X2) )
| ~ member(X5,X1) )
| domain(X1,X0,X2) = X1 )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,X1) )
| domain(X1,sK10,X2) != X1 )
& ( ! [X5] :
( ~ ilf_type(X5,set_type)
| ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X5,X6),X2) )
| ~ member(X5,X1) )
| domain(X1,sK10,X2) = X1 )
& ilf_type(X2,relation_type(X1,sK10)) )
& ilf_type(X1,set_type) )
& ilf_type(sK10,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ? [X1] :
( ? [X2] :
( ( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,X1) )
| domain(X1,sK10,X2) != X1 )
& ( ! [X5] :
( ~ ilf_type(X5,set_type)
| ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X5,X6),X2) )
| ~ member(X5,X1) )
| domain(X1,sK10,X2) = X1 )
& ilf_type(X2,relation_type(X1,sK10)) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,sK11) )
| sK11 != domain(sK11,sK10,X2) )
& ( ! [X5] :
( ~ ilf_type(X5,set_type)
| ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X5,X6),X2) )
| ~ member(X5,sK11) )
| sK11 = domain(sK11,sK10,X2) )
& ilf_type(X2,relation_type(sK11,sK10)) )
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X2] :
( ( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,sK11) )
| sK11 != domain(sK11,sK10,X2) )
& ( ! [X5] :
( ~ ilf_type(X5,set_type)
| ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X5,X6),X2) )
| ~ member(X5,sK11) )
| sK11 = domain(sK11,sK10,X2) )
& ilf_type(X2,relation_type(sK11,sK10)) )
=> ( ( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),sK12) )
& member(X3,sK11) )
| sK11 != domain(sK11,sK10,sK12) )
& ( ! [X5] :
( ~ ilf_type(X5,set_type)
| ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X5,X6),sK12) )
| ~ member(X5,sK11) )
| sK11 = domain(sK11,sK10,sK12) )
& ilf_type(sK12,relation_type(sK11,sK10)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),sK12) )
& member(X3,sK11) )
=> ( ilf_type(sK13,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(sK13,X4),sK12) )
& member(sK13,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X5] :
( ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X5,X6),sK12) )
=> ( ilf_type(sK14(X5),set_type)
& member(ordered_pair(X5,sK14(X5)),sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,X1) )
| domain(X1,X0,X2) != X1 )
& ( ! [X5] :
( ~ ilf_type(X5,set_type)
| ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X5,X6),X2) )
| ~ member(X5,X1) )
| domain(X1,X0,X2) = X1 )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,X1) )
| domain(X1,X0,X2) != X1 )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) )
| ~ member(X3,X1) )
| domain(X1,X0,X2) = X1 )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ? [X3] :
( ilf_type(X3,set_type)
& ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,X1) )
| domain(X1,X0,X2) != X1 )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) )
| ~ member(X3,X1) )
| domain(X1,X0,X2) = X1 )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( domain(X1,X0,X2) = X1
<~> ! [X3] :
( ~ ilf_type(X3,set_type)
| ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) )
| ~ member(X3,X1) ) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ! [X3] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
<~> domain(X1,X0,X2) = X1 )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ( ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) ) ) )
<=> domain(X1,X0,X2) = X1 ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ( ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) ) ) )
<=> domain(X1,X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_22) ).
fof(f1459,plain,
( sF18 = domain_of(sK12)
| ~ ilf_type(sK12,sF21) ),
inference(forward_demodulation,[],[f1458,f223]) ).
fof(f1458,plain,
( sF18 = domain_of(sK12)
| ~ ilf_type(sK12,relation_type(sK11,sK10)) ),
inference(superposition,[],[f215,f1456]) ).
fof(f1456,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f1455,f144]) ).
fof(f1455,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f199,f144]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| domain_of(X2) = domain(X0,X1,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain_of(X2) = domain(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30) ).
fof(f215,plain,
sF18 = domain(sK11,sK10,sK12),
introduced(function_definition,[]) ).
fof(f1790,plain,
( spl22_1
| ~ spl22_51 ),
inference(avatar_contradiction_clause,[],[f1789]) ).
fof(f1789,plain,
( $false
| spl22_1
| ~ spl22_51 ),
inference(subsumption_resolution,[],[f1788,f233]) ).
fof(f233,plain,
( sF18 != sK11
| spl22_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f1788,plain,
( sF18 = sK11
| ~ spl22_51 ),
inference(forward_demodulation,[],[f1305,f1460]) ).
fof(f1305,plain,
( domain_of(sK12) = sK11
| ~ spl22_51 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1787,plain,
spl22_52,
inference(avatar_contradiction_clause,[],[f1786]) ).
fof(f1786,plain,
( $false
| spl22_52 ),
inference(subsumption_resolution,[],[f1785,f1468]) ).
fof(f1468,plain,
( ~ subset(sF18,sK11)
| spl22_52 ),
inference(backward_demodulation,[],[f1309,f1460]) ).
fof(f1309,plain,
( ~ subset(domain_of(sK12),sK11)
| spl22_52 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1307,plain,
( spl22_52
<=> subset(domain_of(sK12),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_52])]) ).
fof(f1785,plain,
subset(sF18,sK11),
inference(duplicate_literal_removal,[],[f1784]) ).
fof(f1784,plain,
( subset(sF18,sK11)
| subset(sF18,sK11) ),
inference(resolution,[],[f1689,f321]) ).
fof(f321,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f320,f144]) ).
fof(f320,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| subset(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f173,f144]) ).
fof(f173,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| subset(X0,X1)
| ~ ilf_type(X0,set_type)
| member(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,X1)
| ( ~ member(sK6(X0,X1),X1)
& ilf_type(sK6(X0,X1),set_type)
& member(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f105,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& ilf_type(X2,set_type)
& member(X2,X0) )
=> ( ~ member(sK6(X0,X1),X1)
& ilf_type(sK6(X0,X1),set_type)
& member(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& ilf_type(X2,set_type)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ) ) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& ilf_type(X2,set_type)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ) ) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f1689,plain,
! [X5] :
( ~ member(sK6(X5,sK11),sF18)
| subset(X5,sK11) ),
inference(resolution,[],[f1680,f324]) ).
fof(f324,plain,
! [X0,X1] :
( ~ member(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f323,f144]) ).
fof(f323,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ member(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(subsumption_resolution,[],[f175,f144]) ).
fof(f175,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ member(sK6(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f107]) ).
fof(f1680,plain,
! [X45] :
( member(X45,sK11)
| ~ member(X45,sF18) ),
inference(resolution,[],[f1611,f1579]) ).
fof(f1579,plain,
ilf_type(sF18,subset_type(sK11)),
inference(subsumption_resolution,[],[f1578,f224]) ).
fof(f1578,plain,
( ilf_type(sF18,subset_type(sK11))
| ~ ilf_type(sK12,sF21) ),
inference(forward_demodulation,[],[f1575,f223]) ).
fof(f1575,plain,
( ilf_type(sF18,subset_type(sK11))
| ~ ilf_type(sK12,relation_type(sK11,sK10)) ),
inference(superposition,[],[f1566,f215]) ).
fof(f1566,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f1565,f144]) ).
fof(f1565,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f200,f144]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(domain(X0,X1,X2),subset_type(X0)) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).
fof(f1611,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,subset_type(X2))
| ~ member(X0,X1)
| member(X0,X2) ),
inference(resolution,[],[f1604,f412]) ).
fof(f412,plain,
! [X2,X3] :
( member(X2,power_set(X3))
| ~ ilf_type(X2,subset_type(X3)) ),
inference(subsumption_resolution,[],[f411,f275]) ).
fof(f275,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f148,f144]) ).
fof(f148,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
fof(f411,plain,
! [X2,X3] :
( empty(power_set(X3))
| ~ ilf_type(X2,subset_type(X3))
| member(X2,power_set(X3)) ),
inference(resolution,[],[f409,f369]) ).
fof(f369,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| empty(X1)
| member(X0,X1) ),
inference(subsumption_resolution,[],[f368,f144]) ).
fof(f368,plain,
! [X0,X1] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(X1)) ),
inference(subsumption_resolution,[],[f146,f144]) ).
fof(f146,plain,
! [X0,X1] :
( member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,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,[],[f71]) ).
fof(f71,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,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f409,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f408,f144]) ).
fof(f408,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f164,f144]) ).
fof(f164,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) )
& ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) ) ) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X1,member_type(power_set(X0)))
<=> ilf_type(X1,subset_type(X0)) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,member_type(power_set(X0)))
<=> ilf_type(X1,subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
fof(f1604,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(subsumption_resolution,[],[f1603,f144]) ).
fof(f1603,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(subsumption_resolution,[],[f1602,f144]) ).
fof(f1602,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f152,f144]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X0,power_set(X1))
| member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ( ilf_type(sK3(X0,X1),set_type)
& ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X3] :
( ilf_type(X3,set_type)
& ~ member(X3,X1)
& member(X3,X0) )
=> ( ilf_type(sK3(X0,X1),set_type)
& ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X3] :
( ilf_type(X3,set_type)
& ~ member(X3,X1)
& member(X3,X0) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) ) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
<=> member(X0,power_set(X1)) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> member(X0,power_set(X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) )
<=> member(X0,power_set(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f1525,plain,
( ~ spl22_68
| ~ spl22_18
| ~ spl22_67 ),
inference(avatar_split_clause,[],[f1524,f1504,f809,f1507]) ).
fof(f809,plain,
( spl22_18
<=> ilf_type(sK12,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
fof(f1524,plain,
( ~ member(sK13,sF18)
| ~ spl22_18
| ~ spl22_67 ),
inference(forward_demodulation,[],[f1523,f1460]) ).
fof(f1523,plain,
( ~ member(sK13,domain_of(sK12))
| ~ spl22_18
| ~ spl22_67 ),
inference(subsumption_resolution,[],[f1521,f810]) ).
fof(f810,plain,
( ilf_type(sK12,binary_relation_type)
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f1521,plain,
( ~ member(sK13,domain_of(sK12))
| ~ ilf_type(sK12,binary_relation_type)
| ~ spl22_67 ),
inference(resolution,[],[f1505,f670]) ).
fof(f670,plain,
! [X0] :
( member(sF19(sK5(X0,sK13)),X0)
| ~ member(sK13,domain_of(X0))
| ~ ilf_type(X0,binary_relation_type) ),
inference(superposition,[],[f665,f217]) ).
fof(f217,plain,
! [X4] : sF19(X4) = ordered_pair(sK13,X4),
introduced(function_definition,[]) ).
fof(f665,plain,
! [X0,X1] :
( member(ordered_pair(X1,sK5(X0,X1)),X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,domain_of(X0)) ),
inference(subsumption_resolution,[],[f169,f144]) ).
fof(f169,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,domain_of(X0))
| member(ordered_pair(X1,sK5(X0,X1)),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(X1,sK5(X0,X1)),X0)
& ilf_type(sK5(X0,X1),set_type) )
| ~ member(X1,domain_of(X0)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f101,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X1,X3),X0)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(X1,sK5(X0,X1)),X0)
& ilf_type(sK5(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X1,X3),X0)
& ilf_type(X3,set_type) )
| ~ member(X1,domain_of(X0)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X1,X2),X0)
& ilf_type(X2,set_type) )
| ~ member(X1,domain_of(X0)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ( member(X1,domain_of(X0))
<=> ? [X2] :
( member(ordered_pair(X1,X2),X0)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,domain_of(X0))
<=> ? [X2] :
( member(ordered_pair(X1,X2),X0)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f1505,plain,
( ! [X10] : ~ member(sF19(X10),sK12)
| ~ spl22_67 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1310,plain,
( spl22_51
| ~ spl22_52
| ~ spl22_6
| ~ spl22_18 ),
inference(avatar_split_clause,[],[f1299,f809,f252,f1307,f1303]) ).
fof(f252,plain,
( spl22_6
<=> ! [X5] :
( ~ ilf_type(X5,set_type)
| ~ member(X5,sK11)
| member(sF20(X5),sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f1299,plain,
( ~ subset(domain_of(sK12),sK11)
| domain_of(sK12) = sK11
| ~ spl22_6
| ~ spl22_18 ),
inference(resolution,[],[f1295,f386]) ).
fof(f386,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(subsumption_resolution,[],[f385,f144]) ).
fof(f385,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| X0 = X1
| ~ subset(X1,X0) ),
inference(subsumption_resolution,[],[f160,f144]) ).
fof(f160,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ subset(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X1,X0)
& subset(X0,X1) )
<=> X0 = X1 ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ( subset(X1,X0)
& subset(X0,X1) )
<=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f1295,plain,
( subset(sK11,domain_of(sK12))
| ~ spl22_6
| ~ spl22_18 ),
inference(duplicate_literal_removal,[],[f1292]) ).
fof(f1292,plain,
( subset(sK11,domain_of(sK12))
| subset(sK11,domain_of(sK12))
| ~ spl22_6
| ~ spl22_18 ),
inference(resolution,[],[f1291,f321]) ).
fof(f1291,plain,
( ! [X14] :
( ~ member(sK6(X14,domain_of(sK12)),sK11)
| subset(X14,domain_of(sK12)) )
| ~ spl22_6
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f1286,f810]) ).
fof(f1286,plain,
( ! [X14] :
( ~ member(sK6(X14,domain_of(sK12)),sK11)
| ~ ilf_type(sK12,binary_relation_type)
| subset(X14,domain_of(sK12)) )
| ~ spl22_6 ),
inference(resolution,[],[f838,f287]) ).
fof(f287,plain,
( ! [X5] :
( member(sF20(X5),sK12)
| ~ member(X5,sK11) )
| ~ spl22_6 ),
inference(subsumption_resolution,[],[f253,f144]) ).
fof(f253,plain,
( ! [X5] :
( ~ ilf_type(X5,set_type)
| member(sF20(X5),sK12)
| ~ member(X5,sK11) )
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f838,plain,
! [X12,X13] :
( ~ member(sF20(sK6(X13,domain_of(X12))),X12)
| ~ ilf_type(X12,binary_relation_type)
| subset(X13,domain_of(X12)) ),
inference(resolution,[],[f824,f324]) ).
fof(f824,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(sF20(X0),X1) ),
inference(superposition,[],[f783,f221]) ).
fof(f221,plain,
! [X5] : sF20(X5) = ordered_pair(X5,sK14(X5)),
introduced(function_definition,[]) ).
fof(f783,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(X0,domain_of(X2)) ),
inference(subsumption_resolution,[],[f782,f144]) ).
fof(f782,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(subsumption_resolution,[],[f159,f144]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(X0,domain_of(X2)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ member(ordered_pair(X0,X1),X2)
| ( member(X0,domain_of(X2))
& member(X1,range_of(X2)) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X0,domain_of(X2))
& member(X1,range_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),X2)
=> ( member(X0,domain_of(X2))
& member(X1,range_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f867,plain,
spl22_18,
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f866,plain,
( $false
| spl22_18 ),
inference(subsumption_resolution,[],[f865,f511]) ).
fof(f511,plain,
relation_like(sK12),
inference(resolution,[],[f510,f224]) ).
fof(f510,plain,
! [X0] :
( ~ ilf_type(X0,sF21)
| relation_like(X0) ),
inference(superposition,[],[f506,f223]) ).
fof(f506,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f505,f318]) ).
fof(f318,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f317,f144]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| relation_like(X2) ),
inference(subsumption_resolution,[],[f165,f144]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,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,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f505,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f504,f144]) ).
fof(f504,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f136,f144]) ).
fof(f136,plain,
! [X3,X0,X1] :
( ~ ilf_type(X1,set_type)
| ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,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,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) ) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,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',p7) ).
fof(f865,plain,
( ~ relation_like(sK12)
| spl22_18 ),
inference(resolution,[],[f811,f283]) ).
fof(f283,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f226,f144]) ).
fof(f226,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( ( 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) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( ( 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) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
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(f811,plain,
( ~ ilf_type(sK12,binary_relation_type)
| spl22_18 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f262,plain,
( ~ spl22_1
| spl22_8 ),
inference(avatar_split_clause,[],[f218,f260,f231]) ).
fof(f218,plain,
! [X4] :
( ~ member(sF19(X4),sK12)
| ~ ilf_type(X4,set_type)
| sF18 != sK11 ),
inference(definition_folding,[],[f194,f215,f217]) ).
fof(f194,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(sK13,X4),sK12)
| sK11 != domain(sK11,sK10,sK12) ),
inference(cnf_transformation,[],[f127]) ).
fof(f254,plain,
( spl22_1
| spl22_6 ),
inference(avatar_split_clause,[],[f222,f252,f231]) ).
fof(f222,plain,
! [X5] :
( ~ ilf_type(X5,set_type)
| member(sF20(X5),sK12)
| sF18 = sK11
| ~ member(X5,sK11) ),
inference(definition_folding,[],[f191,f215,f221]) ).
fof(f191,plain,
! [X5] :
( ~ ilf_type(X5,set_type)
| member(ordered_pair(X5,sK14(X5)),sK12)
| ~ member(X5,sK11)
| sK11 = domain(sK11,sK10,sK12) ),
inference(cnf_transformation,[],[f127]) ).
fof(f238,plain,
( ~ spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f219,f235,f231]) ).
fof(f219,plain,
( member(sK13,sK11)
| sF18 != sK11 ),
inference(definition_folding,[],[f193,f215]) ).
fof(f193,plain,
( member(sK13,sK11)
| sK11 != domain(sK11,sK10,sK12) ),
inference(cnf_transformation,[],[f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET659+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Tue Aug 30 14:13:50 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.20/0.55 % (14423)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.54/0.56 % (14439)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.54/0.56 % (14423)Refutation not found, incomplete strategy% (14423)------------------------------
% 1.54/0.56 % (14423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (14417)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.54/0.57 % (14431)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.57 % (14423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (14423)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.57
% 1.54/0.57 % (14423)Memory used [KB]: 6012
% 1.54/0.57 % (14423)Time elapsed: 0.131 s
% 1.54/0.57 % (14423)Instructions burned: 5 (million)
% 1.54/0.57 % (14423)------------------------------
% 1.54/0.57 % (14423)------------------------------
% 1.54/0.57 % (14431)Instruction limit reached!
% 1.54/0.57 % (14431)------------------------------
% 1.54/0.57 % (14431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (14431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (14431)Termination reason: Unknown
% 1.54/0.57 % (14431)Termination phase: Preprocessing 3
% 1.54/0.57
% 1.54/0.57 % (14431)Memory used [KB]: 1535
% 1.54/0.57 % (14431)Time elapsed: 0.005 s
% 1.54/0.57 % (14431)Instructions burned: 3 (million)
% 1.54/0.57 % (14431)------------------------------
% 1.54/0.57 % (14431)------------------------------
% 1.54/0.57 % (14432)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)
% 1.73/0.58 % (14433)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)
% 1.73/0.58 % (14424)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)
% 1.73/0.59 % (14440)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.73/0.59 % (14441)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.59 % (14425)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)
% 1.73/0.60 % (14432)Instruction limit reached!
% 1.73/0.60 % (14432)------------------------------
% 1.73/0.60 % (14432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (14432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (14432)Termination reason: Unknown
% 1.73/0.60 % (14432)Termination phase: Saturation
% 1.73/0.60
% 1.73/0.60 % (14432)Memory used [KB]: 6012
% 1.73/0.60 % (14432)Time elapsed: 0.007 s
% 1.73/0.60 % (14432)Instructions burned: 7 (million)
% 1.73/0.60 % (14432)------------------------------
% 1.73/0.60 % (14432)------------------------------
% 1.73/0.60 % (14419)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.73/0.60 % (14419)Instruction limit reached!
% 1.73/0.60 % (14419)------------------------------
% 1.73/0.60 % (14419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (14419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (14419)Termination reason: Unknown
% 1.73/0.60 % (14419)Termination phase: Property scanning
% 1.73/0.60
% 1.73/0.60 % (14419)Memory used [KB]: 1535
% 1.73/0.60 % (14419)Time elapsed: 0.004 s
% 1.73/0.60 % (14419)Instructions burned: 3 (million)
% 1.73/0.60 % (14419)------------------------------
% 1.73/0.60 % (14419)------------------------------
% 1.73/0.60 % (14433)Refutation not found, incomplete strategy% (14433)------------------------------
% 1.73/0.60 % (14433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (14433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (14433)Termination reason: Refutation not found, incomplete strategy
% 1.73/0.60
% 1.73/0.60 % (14433)Memory used [KB]: 6140
% 1.73/0.60 % (14433)Time elapsed: 0.171 s
% 1.73/0.60 % (14433)Instructions burned: 7 (million)
% 1.73/0.60 % (14433)------------------------------
% 1.73/0.60 % (14433)------------------------------
% 1.73/0.62 % (14420)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.62 % (14418)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.73/0.62 % (14421)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.73/0.62 % (14422)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)
% 1.73/0.62 % (14421)Refutation not found, incomplete strategy% (14421)------------------------------
% 1.73/0.62 % (14421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.62 % (14421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62 % (14421)Termination reason: Refutation not found, incomplete strategy
% 1.73/0.62
% 1.73/0.62 % (14421)Memory used [KB]: 6012
% 1.73/0.62 % (14421)Time elapsed: 0.176 s
% 1.73/0.62 % (14421)Instructions burned: 4 (million)
% 1.73/0.62 % (14421)------------------------------
% 1.73/0.62 % (14421)------------------------------
% 1.73/0.62 % (14420)Refutation not found, incomplete strategy% (14420)------------------------------
% 1.73/0.62 % (14420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.62 % (14420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62 % (14420)Termination reason: Refutation not found, incomplete strategy
% 1.73/0.62
% 1.73/0.62 % (14420)Memory used [KB]: 6140
% 1.73/0.62 % (14420)Time elapsed: 0.187 s
% 1.73/0.62 % (14420)Instructions burned: 6 (million)
% 1.73/0.62 % (14420)------------------------------
% 1.73/0.62 % (14420)------------------------------
% 1.73/0.63 % (14443)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)
% 2.09/0.63 % (14424)Refutation not found, incomplete strategy% (14424)------------------------------
% 2.09/0.63 % (14424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (14424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (14424)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.63
% 2.09/0.63 % (14424)Memory used [KB]: 6268
% 2.09/0.63 % (14424)Time elapsed: 0.112 s
% 2.09/0.63 % (14424)Instructions burned: 11 (million)
% 2.09/0.63 % (14424)------------------------------
% 2.09/0.63 % (14424)------------------------------
% 2.09/0.63 % (14444)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)
% 2.09/0.63 % (14445)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)
% 2.09/0.63 % (14442)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)
% 2.09/0.63 % (14438)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)
% 2.09/0.63 % (14435)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)
% 2.09/0.63 % (14436)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)
% 2.09/0.63 % (14435)Instruction limit reached!
% 2.09/0.63 % (14435)------------------------------
% 2.09/0.63 % (14435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (14435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (14435)Termination reason: Unknown
% 2.09/0.63 % (14435)Termination phase: Property scanning
% 2.09/0.63
% 2.09/0.63 % (14435)Memory used [KB]: 1407
% 2.09/0.63 % (14435)Time elapsed: 0.003 s
% 2.09/0.63 % (14435)Instructions burned: 2 (million)
% 2.09/0.63 % (14435)------------------------------
% 2.09/0.63 % (14435)------------------------------
% 2.09/0.64 % (14434)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.09/0.64 % (14446)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)
% 2.09/0.64 % (14437)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)
% 2.09/0.64 % (14427)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)
% 2.09/0.64 % (14428)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)
% 2.09/0.64 % (14426)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)
% 2.09/0.64 % (14430)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)
% 2.09/0.64 % (14429)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)
% 2.09/0.64 % (14418)Refutation not found, incomplete strategy% (14418)------------------------------
% 2.09/0.64 % (14418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (14418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (14418)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.64
% 2.09/0.64 % (14418)Memory used [KB]: 6140
% 2.09/0.64 % (14418)Time elapsed: 0.188 s
% 2.09/0.64 % (14418)Instructions burned: 7 (million)
% 2.09/0.64 % (14418)------------------------------
% 2.09/0.64 % (14418)------------------------------
% 2.21/0.65 % (14443)Refutation not found, incomplete strategy% (14443)------------------------------
% 2.21/0.65 % (14443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (14443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (14443)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.65
% 2.21/0.65 % (14443)Memory used [KB]: 6140
% 2.21/0.65 % (14443)Time elapsed: 0.212 s
% 2.21/0.65 % (14443)Instructions burned: 7 (million)
% 2.21/0.65 % (14443)------------------------------
% 2.21/0.65 % (14443)------------------------------
% 2.21/0.65 % (14445)Refutation not found, incomplete strategy% (14445)------------------------------
% 2.21/0.65 % (14445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (14445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (14445)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.65
% 2.21/0.65 % (14445)Memory used [KB]: 6140
% 2.21/0.65 % (14445)Time elapsed: 0.209 s
% 2.21/0.65 % (14445)Instructions burned: 6 (million)
% 2.21/0.65 % (14445)------------------------------
% 2.21/0.65 % (14445)------------------------------
% 2.21/0.65 % (14434)Instruction limit reached!
% 2.21/0.65 % (14434)------------------------------
% 2.21/0.65 % (14434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (14434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (14434)Termination reason: Unknown
% 2.21/0.65 % (14434)Termination phase: Preprocessing 3
% 2.21/0.65
% 2.21/0.65 % (14434)Memory used [KB]: 1535
% 2.21/0.65 % (14434)Time elapsed: 0.003 s
% 2.21/0.65 % (14434)Instructions burned: 3 (million)
% 2.21/0.65 % (14434)------------------------------
% 2.21/0.65 % (14434)------------------------------
% 2.21/0.65 % (14426)Refutation not found, incomplete strategy% (14426)------------------------------
% 2.21/0.65 % (14426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (14426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (14426)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.65
% 2.21/0.65 % (14426)Memory used [KB]: 6140
% 2.21/0.65 % (14426)Time elapsed: 0.222 s
% 2.21/0.65 % (14426)Instructions burned: 6 (million)
% 2.21/0.65 % (14426)------------------------------
% 2.21/0.65 % (14426)------------------------------
% 2.21/0.65 % (14436)Instruction limit reached!
% 2.21/0.65 % (14436)------------------------------
% 2.21/0.65 % (14436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (14436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (14436)Termination reason: Unknown
% 2.21/0.65 % (14436)Termination phase: Saturation
% 2.21/0.65
% 2.21/0.65 % (14436)Memory used [KB]: 6268
% 2.21/0.65 % (14436)Time elapsed: 0.207 s
% 2.21/0.65 % (14436)Instructions burned: 12 (million)
% 2.21/0.65 % (14436)------------------------------
% 2.21/0.65 % (14436)------------------------------
% 2.21/0.66 % (14428)Instruction limit reached!
% 2.21/0.66 % (14428)------------------------------
% 2.21/0.66 % (14428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (14428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (14428)Termination reason: Unknown
% 2.21/0.66 % (14428)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (14428)Memory used [KB]: 6012
% 2.21/0.66 % (14428)Time elapsed: 0.007 s
% 2.21/0.66 % (14428)Instructions burned: 7 (million)
% 2.21/0.66 % (14428)------------------------------
% 2.21/0.66 % (14428)------------------------------
% 2.21/0.66 % (14427)Instruction limit reached!
% 2.21/0.66 % (14427)------------------------------
% 2.21/0.66 % (14427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (14427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (14427)Termination reason: Unknown
% 2.21/0.66 % (14427)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (14427)Memory used [KB]: 6140
% 2.21/0.66 % (14427)Time elapsed: 0.208 s
% 2.21/0.66 % (14427)Instructions burned: 13 (million)
% 2.21/0.66 % (14427)------------------------------
% 2.21/0.66 % (14427)------------------------------
% 2.21/0.66 % (14429)Instruction limit reached!
% 2.21/0.66 % (14429)------------------------------
% 2.21/0.66 % (14429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (14429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (14429)Termination reason: Unknown
% 2.21/0.66 % (14429)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (14429)Memory used [KB]: 1791
% 2.21/0.66 % (14429)Time elapsed: 0.218 s
% 2.21/0.66 % (14429)Instructions burned: 16 (million)
% 2.21/0.66 % (14429)------------------------------
% 2.21/0.66 % (14429)------------------------------
% 2.21/0.67 % (14422)Instruction limit reached!
% 2.21/0.67 % (14422)------------------------------
% 2.21/0.67 % (14422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.67 % (14422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.67 % (14422)Termination reason: Unknown
% 2.21/0.67 % (14422)Termination phase: Saturation
% 2.21/0.67
% 2.21/0.67 % (14422)Memory used [KB]: 1663
% 2.21/0.67 % (14422)Time elapsed: 0.211 s
% 2.21/0.67 % (14422)Instructions burned: 16 (million)
% 2.21/0.67 % (14422)------------------------------
% 2.21/0.67 % (14422)------------------------------
% 2.21/0.67 % (14441)Instruction limit reached!
% 2.21/0.67 % (14441)------------------------------
% 2.21/0.67 % (14441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.67 % (14441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.67 % (14441)Termination reason: Unknown
% 2.21/0.67 % (14441)Termination phase: Saturation
% 2.21/0.67
% 2.21/0.67 % (14441)Memory used [KB]: 6396
% 2.21/0.67 % (14441)Time elapsed: 0.259 s
% 2.21/0.67 % (14441)Instructions burned: 50 (million)
% 2.21/0.67 % (14441)------------------------------
% 2.21/0.67 % (14441)------------------------------
% 2.21/0.68 % (14439)Instruction limit reached!
% 2.21/0.68 % (14439)------------------------------
% 2.21/0.68 % (14439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.68 % (14439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.68 % (14439)Termination reason: Unknown
% 2.21/0.68 % (14439)Termination phase: Saturation
% 2.21/0.68
% 2.21/0.68 % (14439)Memory used [KB]: 7547
% 2.21/0.68 % (14439)Time elapsed: 0.242 s
% 2.21/0.68 % (14439)Instructions burned: 82 (million)
% 2.21/0.68 % (14439)------------------------------
% 2.21/0.68 % (14439)------------------------------
% 2.21/0.69 % (14440)Instruction limit reached!
% 2.21/0.69 % (14440)------------------------------
% 2.21/0.69 % (14440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.69 % (14440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.69 % (14440)Termination reason: Unknown
% 2.21/0.69 % (14440)Termination phase: Saturation
% 2.21/0.69
% 2.21/0.69 % (14440)Memory used [KB]: 1918
% 2.21/0.69 % (14440)Time elapsed: 0.187 s
% 2.21/0.69 % (14440)Instructions burned: 46 (million)
% 2.21/0.69 % (14440)------------------------------
% 2.21/0.69 % (14440)------------------------------
% 2.21/0.69 % (14444)Instruction limit reached!
% 2.21/0.69 % (14444)------------------------------
% 2.21/0.69 % (14444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.69 % (14444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.69 % (14444)Termination reason: Unknown
% 2.21/0.69 % (14444)Termination phase: Saturation
% 2.21/0.69
% 2.21/0.69 % (14444)Memory used [KB]: 6396
% 2.21/0.69 % (14444)Time elapsed: 0.263 s
% 2.21/0.69 % (14444)Instructions burned: 25 (million)
% 2.21/0.69 % (14444)------------------------------
% 2.21/0.69 % (14444)------------------------------
% 2.21/0.70 % (14425)Instruction limit reached!
% 2.21/0.70 % (14425)------------------------------
% 2.21/0.70 % (14425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.70 % (14425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.70 % (14425)Termination reason: Unknown
% 2.21/0.70 % (14425)Termination phase: Saturation
% 2.21/0.70
% 2.21/0.70 % (14425)Memory used [KB]: 6652
% 2.21/0.70 % (14425)Time elapsed: 0.278 s
% 2.21/0.70 % (14425)Instructions burned: 50 (million)
% 2.21/0.70 % (14425)------------------------------
% 2.21/0.70 % (14425)------------------------------
% 2.21/0.70 % (14451)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.21/0.70 % (14437)Instruction limit reached!
% 2.21/0.70 % (14437)------------------------------
% 2.21/0.70 % (14437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.70 % (14437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.70 % (14437)Termination reason: Unknown
% 2.21/0.70 % (14437)Termination phase: Saturation
% 2.21/0.70
% 2.21/0.70 % (14437)Memory used [KB]: 6396
% 2.21/0.70 % (14437)Time elapsed: 0.273 s
% 2.21/0.70 % (14437)Instructions burned: 31 (million)
% 2.21/0.70 % (14437)------------------------------
% 2.21/0.70 % (14437)------------------------------
% 2.21/0.71 % (14446)Instruction limit reached!
% 2.21/0.71 % (14446)------------------------------
% 2.21/0.71 % (14446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.71 % (14446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.71 % (14446)Termination reason: Unknown
% 2.21/0.71 % (14446)Termination phase: Saturation
% 2.21/0.71
% 2.21/0.71 % (14446)Memory used [KB]: 6396
% 2.21/0.71 % (14446)Time elapsed: 0.271 s
% 2.21/0.71 % (14446)Instructions burned: 25 (million)
% 2.21/0.71 % (14446)------------------------------
% 2.21/0.71 % (14446)------------------------------
% 2.21/0.71 % (14451)Refutation not found, incomplete strategy% (14451)------------------------------
% 2.21/0.71 % (14451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.71 % (14451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.71 % (14451)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.71
% 2.21/0.71 % (14451)Memory used [KB]: 10490
% 2.21/0.71 % (14451)Time elapsed: 0.036 s
% 2.21/0.71 % (14451)Instructions burned: 5 (million)
% 2.21/0.71 % (14451)------------------------------
% 2.21/0.71 % (14451)------------------------------
% 2.65/0.74 % (14417)First to succeed.
% 2.65/0.76 % (14417)Refutation found. Thanks to Tanya!
% 2.65/0.76 % SZS status Theorem for theBenchmark
% 2.65/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/0.76 % (14417)------------------------------
% 2.65/0.76 % (14417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.76 % (14417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.76 % (14417)Termination reason: Refutation
% 2.65/0.76
% 2.65/0.76 % (14417)Memory used [KB]: 7164
% 2.65/0.76 % (14417)Time elapsed: 0.302 s
% 2.65/0.76 % (14417)Instructions burned: 74 (million)
% 2.65/0.76 % (14417)------------------------------
% 2.65/0.76 % (14417)------------------------------
% 2.65/0.76 % (14416)Success in time 0.39 s
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