TSTP Solution File: SEU214+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU214+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:27:31 EDT 2022
% Result : Theorem 1.93s 0.63s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 123 ( 11 unt; 0 def)
% Number of atoms : 565 ( 65 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 751 ( 309 ~; 308 |; 91 &)
% ( 20 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 215 ( 172 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f683,plain,
$false,
inference(avatar_sat_refutation,[],[f229,f253,f262,f370,f459,f673,f682]) ).
fof(f682,plain,
( ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| ~ spl19_5
| ~ spl19_8 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f681,plain,
( $false
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| ~ spl19_5
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f680,f676]) ).
fof(f676,plain,
( ~ in(apply(sK4,sK3),relation_dom(sK2))
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f675,f145]) ).
fof(f145,plain,
function(sK2),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( function(sK2)
& function(sK4)
& relation(sK4)
& apply(sK2,apply(sK4,sK3)) != apply(relation_composition(sK4,sK2),sK3)
& in(sK3,relation_dom(relation_composition(sK4,sK2)))
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f92,f94,f93]) ).
fof(f93,plain,
( ? [X0,X1] :
( function(X0)
& ? [X2] :
( function(X2)
& relation(X2)
& apply(X0,apply(X2,X1)) != apply(relation_composition(X2,X0),X1)
& in(X1,relation_dom(relation_composition(X2,X0))) )
& relation(X0) )
=> ( function(sK2)
& ? [X2] :
( function(X2)
& relation(X2)
& apply(relation_composition(X2,sK2),sK3) != apply(sK2,apply(X2,sK3))
& in(sK3,relation_dom(relation_composition(X2,sK2))) )
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ? [X2] :
( function(X2)
& relation(X2)
& apply(relation_composition(X2,sK2),sK3) != apply(sK2,apply(X2,sK3))
& in(sK3,relation_dom(relation_composition(X2,sK2))) )
=> ( function(sK4)
& relation(sK4)
& apply(sK2,apply(sK4,sK3)) != apply(relation_composition(sK4,sK2),sK3)
& in(sK3,relation_dom(relation_composition(sK4,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
? [X0,X1] :
( function(X0)
& ? [X2] :
( function(X2)
& relation(X2)
& apply(X0,apply(X2,X1)) != apply(relation_composition(X2,X0),X1)
& in(X1,relation_dom(relation_composition(X2,X0))) )
& relation(X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
? [X1,X0] :
( function(X1)
& ? [X2] :
( function(X2)
& relation(X2)
& apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
& in(X0,relation_dom(relation_composition(X2,X1))) )
& relation(X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X1,X0] :
( ? [X2] :
( apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
& in(X0,relation_dom(relation_composition(X2,X1)))
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f675,plain,
( ~ in(apply(sK4,sK3),relation_dom(sK2))
| ~ function(sK2)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f674,f142]) ).
fof(f142,plain,
apply(sK2,apply(sK4,sK3)) != apply(relation_composition(sK4,sK2),sK3),
inference(cnf_transformation,[],[f95]) ).
fof(f674,plain,
( apply(sK2,apply(sK4,sK3)) = apply(relation_composition(sK4,sK2),sK3)
| ~ in(apply(sK4,sK3),relation_dom(sK2))
| ~ function(sK2)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f500,f140]) ).
fof(f140,plain,
relation(sK2),
inference(cnf_transformation,[],[f95]) ).
fof(f500,plain,
( ~ relation(sK2)
| apply(sK2,apply(sK4,sK3)) = apply(relation_composition(sK4,sK2),sK3)
| ~ function(sK2)
| ~ in(apply(sK4,sK3),relation_dom(sK2))
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| ~ spl19_5 ),
inference(resolution,[],[f461,f203]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| ~ relation(X0)
| ~ function(X0)
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) = X2 ),
inference(definition_unfolding,[],[f175,f129]) ).
fof(f129,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_dom(X0))
| apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1,X2] :
( ( in(X1,relation_dom(X0))
| ( ( empty_set = X2
| apply(X0,X1) != X2 )
& ( apply(X0,X1) = X2
| empty_set != X2 ) ) )
& ( ~ in(X1,relation_dom(X0))
| ( ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 )
& ( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1,X2] :
( ( in(X1,relation_dom(X0))
| ( empty_set = X2
<=> apply(X0,X1) = X2 ) )
& ( ~ in(X1,relation_dom(X0))
| ( in(ordered_pair(X1,X2),X0)
<=> apply(X0,X1) = X2 ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1,X2] :
( ( in(X1,relation_dom(X0))
| ( empty_set = X2
<=> apply(X0,X1) = X2 ) )
& ( ~ in(X1,relation_dom(X0))
| ( in(ordered_pair(X1,X2),X0)
<=> apply(X0,X1) = X2 ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
=> ( in(ordered_pair(X1,X2),X0)
<=> apply(X0,X1) = X2 ) )
& ( ~ in(X1,relation_dom(X0))
=> ( empty_set = X2
<=> apply(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f461,plain,
( in(unordered_pair(unordered_pair(apply(sK4,sK3),apply(relation_composition(sK4,sK2),sK3)),singleton(apply(sK4,sK3))),sK2)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| ~ spl19_5 ),
inference(backward_demodulation,[],[f294,f365]) ).
fof(f365,plain,
( apply(sK4,sK3) = sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3))
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f363,plain,
( spl19_5
<=> apply(sK4,sK3) = sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
fof(f294,plain,
( in(unordered_pair(unordered_pair(sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)),apply(relation_composition(sK4,sK2),sK3)),singleton(sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)))),sK2)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4 ),
inference(forward_demodulation,[],[f293,f280]) ).
fof(f280,plain,
( sK15(relation_composition(sK4,sK2),sK3) = apply(relation_composition(sK4,sK2),sK3)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f279,f236]) ).
fof(f236,plain,
( function(relation_composition(sK4,sK2))
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl19_4
<=> function(relation_composition(sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f279,plain,
( sK15(relation_composition(sK4,sK2),sK3) = apply(relation_composition(sK4,sK2),sK3)
| ~ function(relation_composition(sK4,sK2))
| ~ spl19_1
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f278,f141]) ).
fof(f141,plain,
in(sK3,relation_dom(relation_composition(sK4,sK2))),
inference(cnf_transformation,[],[f95]) ).
fof(f278,plain,
( ~ in(sK3,relation_dom(relation_composition(sK4,sK2)))
| sK15(relation_composition(sK4,sK2),sK3) = apply(relation_composition(sK4,sK2),sK3)
| ~ function(relation_composition(sK4,sK2))
| ~ spl19_1
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f273,f223]) ).
fof(f223,plain,
( relation(relation_composition(sK4,sK2))
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl19_1
<=> relation(relation_composition(sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f273,plain,
( ~ relation(relation_composition(sK4,sK2))
| sK15(relation_composition(sK4,sK2),sK3) = apply(relation_composition(sK4,sK2),sK3)
| ~ function(relation_composition(sK4,sK2))
| ~ in(sK3,relation_dom(relation_composition(sK4,sK2)))
| ~ spl19_2 ),
inference(resolution,[],[f228,f203]) ).
fof(f228,plain,
( in(unordered_pair(unordered_pair(sK3,sK15(relation_composition(sK4,sK2),sK3)),singleton(sK3)),relation_composition(sK4,sK2))
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl19_2
<=> in(unordered_pair(unordered_pair(sK3,sK15(relation_composition(sK4,sK2),sK3)),singleton(sK3)),relation_composition(sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
fof(f293,plain,
( in(unordered_pair(unordered_pair(sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3)),sK15(relation_composition(sK4,sK2),sK3)),singleton(sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3)))),sK2)
| ~ spl19_1
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f292,f223]) ).
fof(f292,plain,
( ~ relation(relation_composition(sK4,sK2))
| in(unordered_pair(unordered_pair(sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3)),sK15(relation_composition(sK4,sK2),sK3)),singleton(sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3)))),sK2)
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f291,f143]) ).
fof(f143,plain,
relation(sK4),
inference(cnf_transformation,[],[f95]) ).
fof(f291,plain,
( ~ relation(sK4)
| in(unordered_pair(unordered_pair(sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3)),sK15(relation_composition(sK4,sK2),sK3)),singleton(sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3)))),sK2)
| ~ relation(relation_composition(sK4,sK2))
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f270,f140]) ).
fof(f270,plain,
( ~ relation(sK2)
| in(unordered_pair(unordered_pair(sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3)),sK15(relation_composition(sK4,sK2),sK3)),singleton(sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3)))),sK2)
| ~ relation(relation_composition(sK4,sK2))
| ~ relation(sK4)
| ~ spl19_2 ),
inference(resolution,[],[f228,f210]) ).
fof(f210,plain,
! [X0,X1,X8,X7] :
( ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(sK11(X0,X1,X7,X8),X8),singleton(sK11(X0,X1,X7,X8))),X1) ),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X1)
| in(unordered_pair(unordered_pair(sK11(X0,X1,X7,X8),X8),singleton(sK11(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f166,f129,f129]) ).
fof(f166,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X1)
| in(ordered_pair(sK11(X0,X1,X7,X8),X8),X1)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK9(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK8(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK8(X0,X1,X2),sK9(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X1)
& in(ordered_pair(sK8(X0,X1,X2),sK10(X0,X1,X2)),X0) )
| in(ordered_pair(sK8(X0,X1,X2),sK9(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ( in(ordered_pair(sK11(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK11(X0,X1,X7,X8)),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f107,f110,f109,f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) )
=> ( ( ! [X5] :
( ~ in(ordered_pair(X5,sK9(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK8(X0,X1,X2),X5),X0) )
| ~ in(ordered_pair(sK8(X0,X1,X2),sK9(X0,X1,X2)),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,sK9(X0,X1,X2)),X1)
& in(ordered_pair(sK8(X0,X1,X2),X6),X0) )
| in(ordered_pair(sK8(X0,X1,X2),sK9(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ? [X6] :
( in(ordered_pair(X6,sK9(X0,X1,X2)),X1)
& in(ordered_pair(sK8(X0,X1,X2),X6),X0) )
=> ( in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X1)
& in(ordered_pair(sK8(X0,X1,X2),sK10(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1,X7,X8] :
( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
=> ( in(ordered_pair(sK11(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK11(X0,X1,X7,X8)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) ) )
& ( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( relation_composition(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( relation_composition(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f680,plain,
( in(apply(sK4,sK3),relation_dom(sK2))
| ~ spl19_5
| ~ spl19_8 ),
inference(forward_demodulation,[],[f390,f365]) ).
fof(f390,plain,
( in(sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)),relation_dom(sK2))
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f389,plain,
( spl19_8
<=> in(sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)),relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
fof(f673,plain,
( ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| ~ spl19_5
| spl19_8 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f666,plain,
( $false
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| ~ spl19_5
| spl19_8 ),
inference(resolution,[],[f470,f461]) ).
fof(f470,plain,
( ! [X0] : ~ in(unordered_pair(unordered_pair(apply(sK4,sK3),X0),singleton(apply(sK4,sK3))),sK2)
| ~ spl19_5
| spl19_8 ),
inference(backward_demodulation,[],[f425,f365]) ).
fof(f425,plain,
( ! [X0] : ~ in(unordered_pair(unordered_pair(sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)),X0),singleton(sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)))),sK2)
| spl19_8 ),
inference(subsumption_resolution,[],[f422,f140]) ).
fof(f422,plain,
( ! [X0] :
( ~ in(unordered_pair(unordered_pair(sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)),X0),singleton(sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)))),sK2)
| ~ relation(sK2) )
| spl19_8 ),
inference(resolution,[],[f391,f215]) ).
fof(f215,plain,
! [X2,X3,X0] :
( in(X2,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f190,f129]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(ordered_pair(X2,X3),X0)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,sK15(X0,X2)),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ! [X6] : ~ in(ordered_pair(sK16(X0,X1),X6),X0)
| ~ in(sK16(X0,X1),X1) )
& ( in(ordered_pair(sK16(X0,X1),sK17(X0,X1)),X0)
| in(sK16(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f122,f125,f124,f123]) ).
fof(f123,plain,
! [X0,X2] :
( ? [X4] : in(ordered_pair(X2,X4),X0)
=> in(ordered_pair(X2,sK15(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) )
=> ( ( ! [X6] : ~ in(ordered_pair(sK16(X0,X1),X6),X0)
| ~ in(sK16(X0,X1),X1) )
& ( ? [X7] : in(ordered_pair(sK16(X0,X1),X7),X0)
| in(sK16(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK16(X0,X1),X7),X0)
=> in(ordered_pair(sK16(X0,X1),sK17(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) ) ) ) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f391,plain,
( ~ in(sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3)),relation_dom(sK2))
| spl19_8 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f459,plain,
( ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| spl19_6 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f454,plain,
( $false
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4
| spl19_6 ),
inference(resolution,[],[f405,f289]) ).
fof(f289,plain,
( in(unordered_pair(unordered_pair(sK3,sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3))),singleton(sK3)),sK4)
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4 ),
inference(forward_demodulation,[],[f288,f280]) ).
fof(f288,plain,
( in(unordered_pair(unordered_pair(sK3,sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3))),singleton(sK3)),sK4)
| ~ spl19_1
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f287,f223]) ).
fof(f287,plain,
( in(unordered_pair(unordered_pair(sK3,sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3))),singleton(sK3)),sK4)
| ~ relation(relation_composition(sK4,sK2))
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f286,f140]) ).
fof(f286,plain,
( ~ relation(sK2)
| in(unordered_pair(unordered_pair(sK3,sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3))),singleton(sK3)),sK4)
| ~ relation(relation_composition(sK4,sK2))
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f271,f143]) ).
fof(f271,plain,
( ~ relation(sK4)
| in(unordered_pair(unordered_pair(sK3,sK11(sK4,sK2,sK3,sK15(relation_composition(sK4,sK2),sK3))),singleton(sK3)),sK4)
| ~ relation(relation_composition(sK4,sK2))
| ~ relation(sK2)
| ~ spl19_2 ),
inference(resolution,[],[f228,f211]) ).
fof(f211,plain,
! [X0,X1,X8,X7] :
( ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X7,sK11(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ relation(X1) ),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X1)
| in(unordered_pair(unordered_pair(X7,sK11(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f165,f129,f129]) ).
fof(f165,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X1)
| in(ordered_pair(X7,sK11(X0,X1,X7,X8)),X0)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f405,plain,
( ! [X0] : ~ in(unordered_pair(unordered_pair(sK3,X0),singleton(sK3)),sK4)
| spl19_6 ),
inference(subsumption_resolution,[],[f404,f143]) ).
fof(f404,plain,
( ! [X0] :
( ~ in(unordered_pair(unordered_pair(sK3,X0),singleton(sK3)),sK4)
| ~ relation(sK4) )
| spl19_6 ),
inference(resolution,[],[f369,f215]) ).
fof(f369,plain,
( ~ in(sK3,relation_dom(sK4))
| spl19_6 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl19_6
<=> in(sK3,relation_dom(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
fof(f370,plain,
( spl19_5
| ~ spl19_6
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4 ),
inference(avatar_split_clause,[],[f361,f235,f226,f222,f367,f363]) ).
fof(f361,plain,
( ~ in(sK3,relation_dom(sK4))
| apply(sK4,sK3) = sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3))
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f360,f143]) ).
fof(f360,plain,
( ~ relation(sK4)
| ~ in(sK3,relation_dom(sK4))
| apply(sK4,sK3) = sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3))
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4 ),
inference(subsumption_resolution,[],[f352,f144]) ).
fof(f144,plain,
function(sK4),
inference(cnf_transformation,[],[f95]) ).
fof(f352,plain,
( apply(sK4,sK3) = sK11(sK4,sK2,sK3,apply(relation_composition(sK4,sK2),sK3))
| ~ function(sK4)
| ~ relation(sK4)
| ~ in(sK3,relation_dom(sK4))
| ~ spl19_1
| ~ spl19_2
| ~ spl19_4 ),
inference(resolution,[],[f289,f203]) ).
fof(f262,plain,
spl19_4,
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| spl19_4 ),
inference(subsumption_resolution,[],[f260,f143]) ).
fof(f260,plain,
( ~ relation(sK4)
| spl19_4 ),
inference(subsumption_resolution,[],[f259,f145]) ).
fof(f259,plain,
( ~ function(sK2)
| ~ relation(sK4)
| spl19_4 ),
inference(subsumption_resolution,[],[f258,f144]) ).
fof(f258,plain,
( ~ function(sK4)
| ~ relation(sK4)
| ~ function(sK2)
| spl19_4 ),
inference(subsumption_resolution,[],[f256,f140]) ).
fof(f256,plain,
( ~ relation(sK2)
| ~ function(sK2)
| ~ function(sK4)
| ~ relation(sK4)
| spl19_4 ),
inference(resolution,[],[f237,f133]) ).
fof(f133,plain,
! [X0,X1] :
( function(relation_composition(X1,X0))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ function(X1)
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X1)
| ( relation(relation_composition(X1,X0))
& function(relation_composition(X1,X0)) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ~ function(X0)
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ function(X0)
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( function(X0)
& relation(X0)
& relation(X1)
& function(X1) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f237,plain,
( ~ function(relation_composition(sK4,sK2))
| spl19_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f253,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| spl19_1 ),
inference(subsumption_resolution,[],[f251,f143]) ).
fof(f251,plain,
( ~ relation(sK4)
| spl19_1 ),
inference(subsumption_resolution,[],[f241,f140]) ).
fof(f241,plain,
( ~ relation(sK2)
| ~ relation(sK4)
| spl19_1 ),
inference(resolution,[],[f224,f158]) ).
fof(f158,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X1,X0)) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X0,X1)) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f224,plain,
( ~ relation(relation_composition(sK4,sK2))
| spl19_1 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f229,plain,
( ~ spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f217,f226,f222]) ).
fof(f217,plain,
( in(unordered_pair(unordered_pair(sK3,sK15(relation_composition(sK4,sK2),sK3)),singleton(sK3)),relation_composition(sK4,sK2))
| ~ relation(relation_composition(sK4,sK2)) ),
inference(resolution,[],[f141,f216]) ).
fof(f216,plain,
! [X2,X0] :
( ~ in(X2,relation_dom(X0))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,sK15(X0,X2)),singleton(X2)),X0) ),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,sK15(X0,X2)),singleton(X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f189,f129]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(X2,sK15(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU214+3 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.33 % Computer : n017.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Aug 30 14:13:50 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.16/0.48 % (15869)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)
% 0.16/0.48 % (15870)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48 % (15870)Instruction limit reached!
% 0.16/0.48 % (15870)------------------------------
% 0.16/0.48 % (15870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (15861)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)
% 0.16/0.49 % (15877)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)
% 0.16/0.49 % (15878)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)
% 0.16/0.49 % (15869)Instruction limit reached!
% 0.16/0.49 % (15869)------------------------------
% 0.16/0.49 % (15869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (15869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (15869)Termination reason: Unknown
% 0.16/0.49 % (15869)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (15869)Memory used [KB]: 1535
% 0.16/0.49 % (15869)Time elapsed: 0.005 s
% 0.16/0.49 % (15869)Instructions burned: 4 (million)
% 0.16/0.49 % (15869)------------------------------
% 0.16/0.49 % (15869)------------------------------
% 0.16/0.49 % (15870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (15870)Termination reason: Unknown
% 0.16/0.49 % (15870)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (15870)Memory used [KB]: 6140
% 0.16/0.49 % (15870)Time elapsed: 0.097 s
% 0.16/0.49 % (15870)Instructions burned: 7 (million)
% 0.16/0.49 % (15870)------------------------------
% 0.16/0.49 % (15870)------------------------------
% 0.16/0.49 % (15862)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.52 % (15867)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.52 % (15855)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.16/0.52 % (15857)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)
% 0.16/0.52 % (15860)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.16/0.52 % (15873)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.53 % (15871)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.53 % (15868)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53 % (15858)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)
% 0.16/0.53 % (15857)Instruction limit reached!
% 0.16/0.53 % (15857)------------------------------
% 0.16/0.53 % (15857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (15857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (15857)Termination reason: Unknown
% 0.16/0.53 % (15857)Termination phase: Property scanning
% 0.16/0.53
% 0.16/0.53 % (15857)Memory used [KB]: 1535
% 0.16/0.53 % (15857)Time elapsed: 0.003 s
% 0.16/0.53 % (15857)Instructions burned: 3 (million)
% 0.16/0.53 % (15857)------------------------------
% 0.16/0.53 % (15857)------------------------------
% 0.16/0.53 % (15873)Instruction limit reached!
% 0.16/0.53 % (15873)------------------------------
% 0.16/0.53 % (15873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (15873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (15873)Termination reason: Unknown
% 0.16/0.53 % (15873)Termination phase: Preprocessing 3
% 0.16/0.53
% 0.16/0.53 % (15873)Memory used [KB]: 1407
% 0.16/0.53 % (15873)Time elapsed: 0.004 s
% 0.16/0.53 % (15873)Instructions burned: 2 (million)
% 0.16/0.53 % (15873)------------------------------
% 0.16/0.53 % (15873)------------------------------
% 0.16/0.54 % (15859)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)
% 0.16/0.54 % (15865)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)
% 0.16/0.54 % (15863)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.54 % (15861)Instruction limit reached!
% 0.16/0.54 % (15861)------------------------------
% 0.16/0.54 % (15861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (15861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (15861)Termination reason: Unknown
% 0.16/0.54 % (15861)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (15861)Memory used [KB]: 6524
% 0.16/0.54 % (15861)Time elapsed: 0.147 s
% 0.16/0.54 % (15861)Instructions burned: 39 (million)
% 0.16/0.54 % (15861)------------------------------
% 0.16/0.54 % (15861)------------------------------
% 0.16/0.55 % (15865)Instruction limit reached!
% 0.16/0.55 % (15865)------------------------------
% 0.16/0.55 % (15865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (15865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (15865)Termination reason: Unknown
% 0.16/0.55 % (15865)Termination phase: Saturation
% 0.16/0.55
% 0.16/0.55 % (15865)Memory used [KB]: 6268
% 0.16/0.55 % (15865)Time elapsed: 0.155 s
% 0.16/0.55 % (15865)Instructions burned: 13 (million)
% 0.16/0.55 % (15865)------------------------------
% 0.16/0.55 % (15865)------------------------------
% 0.16/0.55 % (15876)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.55 % (15874)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.16/0.55 % (15881)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.55 % (15883)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.16/0.56 % (15866)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.56 % (15875)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)
% 0.16/0.56 % (15880)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)
% 0.16/0.56 % (15882)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)
% 0.16/0.56 % (15884)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.71/0.56 % (15859)Instruction limit reached!
% 1.71/0.56 % (15859)------------------------------
% 1.71/0.56 % (15859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.56 % (15859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.56 % (15859)Termination reason: Unknown
% 1.71/0.56 % (15859)Termination phase: Saturation
% 1.71/0.56
% 1.71/0.56 % (15859)Memory used [KB]: 6140
% 1.71/0.56 % (15859)Time elapsed: 0.156 s
% 1.71/0.56 % (15859)Instructions burned: 14 (million)
% 1.71/0.56 % (15859)------------------------------
% 1.71/0.56 % (15859)------------------------------
% 1.71/0.57 % (15864)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)
% 1.71/0.57 % (15867)Instruction limit reached!
% 1.71/0.57 % (15867)------------------------------
% 1.71/0.57 % (15867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57 % (15867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57 % (15867)Termination reason: Unknown
% 1.71/0.57 % (15867)Termination phase: Saturation
% 1.71/0.57
% 1.71/0.57 % (15867)Memory used [KB]: 1791
% 1.71/0.57 % (15867)Time elapsed: 0.183 s
% 1.71/0.57 % (15867)Instructions burned: 17 (million)
% 1.71/0.57 % (15867)------------------------------
% 1.71/0.57 % (15867)------------------------------
% 1.71/0.57 % (15872)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.71/0.57 % (15872)Instruction limit reached!
% 1.71/0.57 % (15872)------------------------------
% 1.71/0.57 % (15872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57 % (15872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57 % (15872)Termination reason: Unknown
% 1.71/0.57 % (15872)Termination phase: Finite model building preprocessing
% 1.71/0.57
% 1.71/0.57 % (15872)Memory used [KB]: 1535
% 1.71/0.57 % (15872)Time elapsed: 0.005 s
% 1.71/0.57 % (15872)Instructions burned: 4 (million)
% 1.71/0.57 % (15872)------------------------------
% 1.71/0.57 % (15872)------------------------------
% 1.71/0.57 % (15883)Instruction limit reached!
% 1.71/0.57 % (15883)------------------------------
% 1.71/0.57 % (15883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57 % (15883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57 % (15883)Termination reason: Unknown
% 1.71/0.57 % (15883)Termination phase: Saturation
% 1.71/0.57
% 1.71/0.57 % (15883)Memory used [KB]: 6140
% 1.71/0.57 % (15883)Time elapsed: 0.183 s
% 1.71/0.57 % (15883)Instructions burned: 9 (million)
% 1.71/0.57 % (15883)------------------------------
% 1.71/0.57 % (15883)------------------------------
% 1.71/0.57 % (15862)Instruction limit reached!
% 1.71/0.57 % (15862)------------------------------
% 1.71/0.57 % (15862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57 % (15862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57 % (15862)Termination reason: Unknown
% 1.71/0.57 % (15862)Termination phase: Saturation
% 1.71/0.57
% 1.71/0.57 % (15862)Memory used [KB]: 7164
% 1.71/0.57 % (15862)Time elapsed: 0.188 s
% 1.71/0.57 % (15862)Instructions burned: 40 (million)
% 1.71/0.57 % (15862)------------------------------
% 1.71/0.57 % (15862)------------------------------
% 1.71/0.57 % (15879)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)
% 1.71/0.58 % (15874)Instruction limit reached!
% 1.71/0.58 % (15874)------------------------------
% 1.71/0.58 % (15874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (15874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (15874)Termination reason: Unknown
% 1.71/0.58 % (15874)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (15874)Memory used [KB]: 6268
% 1.71/0.58 % (15874)Time elapsed: 0.192 s
% 1.71/0.58 % (15874)Instructions burned: 11 (million)
% 1.71/0.58 % (15874)------------------------------
% 1.71/0.58 % (15874)------------------------------
% 1.71/0.58 % (15860)Instruction limit reached!
% 1.71/0.58 % (15860)------------------------------
% 1.71/0.58 % (15860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (15860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (15860)Termination reason: Unknown
% 1.71/0.58 % (15860)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (15860)Memory used [KB]: 1791
% 1.71/0.58 % (15860)Time elapsed: 0.191 s
% 1.71/0.58 % (15860)Instructions burned: 15 (million)
% 1.71/0.58 % (15860)------------------------------
% 1.71/0.58 % (15860)------------------------------
% 1.71/0.58 % (15866)Instruction limit reached!
% 1.71/0.58 % (15866)------------------------------
% 1.71/0.58 % (15866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (15866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (15866)Termination reason: Unknown
% 1.71/0.58 % (15866)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (15866)Memory used [KB]: 6012
% 1.71/0.58 % (15866)Time elapsed: 0.006 s
% 1.71/0.58 % (15866)Instructions burned: 7 (million)
% 1.71/0.58 % (15866)------------------------------
% 1.71/0.58 % (15866)------------------------------
% 1.93/0.59 % (15856)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)
% 1.93/0.59 % (15856)Refutation not found, incomplete strategy% (15856)------------------------------
% 1.93/0.59 % (15856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.59 % (15856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.59 % (15856)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.59
% 1.93/0.59 % (15856)Memory used [KB]: 6012
% 1.93/0.59 % (15856)Time elapsed: 0.167 s
% 1.93/0.59 % (15856)Instructions burned: 5 (million)
% 1.93/0.59 % (15856)------------------------------
% 1.93/0.59 % (15856)------------------------------
% 1.93/0.59 % (15877)Instruction limit reached!
% 1.93/0.59 % (15877)------------------------------
% 1.93/0.59 % (15877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.59 % (15877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.59 % (15877)Termination reason: Unknown
% 1.93/0.59 % (15877)Termination phase: Saturation
% 1.93/0.59
% 1.93/0.59 % (15877)Memory used [KB]: 7291
% 1.93/0.59 % (15877)Time elapsed: 0.208 s
% 1.93/0.59 % (15877)Instructions burned: 82 (million)
% 1.93/0.59 % (15877)------------------------------
% 1.93/0.59 % (15877)------------------------------
% 1.93/0.60 % (15881)First to succeed.
% 1.93/0.60 % (15878)Instruction limit reached!
% 1.93/0.60 % (15878)------------------------------
% 1.93/0.60 % (15878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60 % (15878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60 % (15878)Termination reason: Unknown
% 1.93/0.60 % (15878)Termination phase: Saturation
% 1.93/0.60
% 1.93/0.60 % (15878)Memory used [KB]: 2174
% 1.93/0.60 % (15878)Time elapsed: 0.218 s
% 1.93/0.60 % (15878)Instructions burned: 45 (million)
% 1.93/0.60 % (15878)------------------------------
% 1.93/0.60 % (15878)------------------------------
% 1.93/0.61 % (15875)Instruction limit reached!
% 1.93/0.61 % (15875)------------------------------
% 1.93/0.61 % (15875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (15875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (15875)Termination reason: Unknown
% 1.93/0.61 % (15875)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (15875)Memory used [KB]: 6396
% 1.93/0.61 % (15875)Time elapsed: 0.218 s
% 1.93/0.61 % (15875)Instructions burned: 30 (million)
% 1.93/0.61 % (15875)------------------------------
% 1.93/0.61 % (15875)------------------------------
% 1.93/0.61 % (15882)Instruction limit reached!
% 1.93/0.61 % (15882)------------------------------
% 1.93/0.61 % (15882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (15882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (15882)Termination reason: Unknown
% 1.93/0.61 % (15882)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (15882)Memory used [KB]: 6524
% 1.93/0.61 % (15882)Time elapsed: 0.224 s
% 1.93/0.61 % (15882)Instructions burned: 25 (million)
% 1.93/0.61 % (15882)------------------------------
% 1.93/0.61 % (15882)------------------------------
% 1.93/0.62 % (15884)Instruction limit reached!
% 1.93/0.62 % (15884)------------------------------
% 1.93/0.62 % (15884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62 % (15884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (15884)Termination reason: Unknown
% 1.93/0.62 % (15884)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (15884)Memory used [KB]: 6396
% 1.93/0.62 % (15884)Time elapsed: 0.223 s
% 1.93/0.62 % (15884)Instructions burned: 25 (million)
% 1.93/0.62 % (15884)------------------------------
% 1.93/0.62 % (15884)------------------------------
% 1.93/0.63 % (15881)Refutation found. Thanks to Tanya!
% 1.93/0.63 % SZS status Theorem for theBenchmark
% 1.93/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.63 % (15881)------------------------------
% 1.93/0.63 % (15881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63 % (15881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63 % (15881)Termination reason: Refutation
% 1.93/0.63
% 1.93/0.63 % (15881)Memory used [KB]: 6780
% 1.93/0.63 % (15881)Time elapsed: 0.207 s
% 1.93/0.63 % (15881)Instructions burned: 24 (million)
% 1.93/0.63 % (15881)------------------------------
% 1.93/0.63 % (15881)------------------------------
% 1.93/0.63 % (15854)Success in time 0.28 s
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