TSTP Solution File: SET709+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET709+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 18:21:57 EDT 2022
% Result : Theorem 1.62s 0.61s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 108 ( 7 unt; 0 def)
% Number of atoms : 452 ( 28 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 554 ( 210 ~; 213 |; 102 &)
% ( 13 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-5 aty)
% Number of variables : 307 ( 258 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f580,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f106,f497,f579]) ).
fof(f579,plain,
( ~ spl12_2
| ~ spl12_3 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f578,plain,
( $false
| ~ spl12_2
| ~ spl12_3 ),
inference(subsumption_resolution,[],[f571,f526]) ).
fof(f526,plain,
( apply(sK1,sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2)),sK10(sK1,sK5,sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2))))
| ~ spl12_3 ),
inference(unit_resulting_resolution,[],[f507,f81]) ).
fof(f81,plain,
! [X1] :
( apply(sK1,X1,sK10(sK1,sK5,X1))
| ~ member(X1,sK4) ),
inference(resolution,[],[f59,f69]) ).
fof(f69,plain,
! [X2,X0,X1,X5] :
( ~ member(X5,X2)
| ~ maps(X0,X2,X1)
| apply(X0,X5,sK10(X0,X1,X5)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( maps(X0,X2,X1)
| ~ sP0(X1,X0,X2)
| ( member(sK9(X0,X1,X2),X2)
& ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,sK9(X0,X1,X2),X4) ) ) )
& ( ( sP0(X1,X0,X2)
& ! [X5] :
( ~ member(X5,X2)
| ( member(sK10(X0,X1,X5),X1)
& apply(X0,X5,sK10(X0,X1,X5)) ) ) )
| ~ maps(X0,X2,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f51,f53,f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ? [X3] :
( member(X3,X2)
& ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X3,X4) ) )
=> ( member(sK9(X0,X1,X2),X2)
& ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,sK9(X0,X1,X2),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1,X5] :
( ? [X6] :
( member(X6,X1)
& apply(X0,X5,X6) )
=> ( member(sK10(X0,X1,X5),X1)
& apply(X0,X5,sK10(X0,X1,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( maps(X0,X2,X1)
| ~ sP0(X1,X0,X2)
| ? [X3] :
( member(X3,X2)
& ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X3,X4) ) ) )
& ( ( sP0(X1,X0,X2)
& ! [X5] :
( ~ member(X5,X2)
| ? [X6] :
( member(X6,X1)
& apply(X0,X5,X6) ) ) )
| ~ maps(X0,X2,X1) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X0,X2,X1] :
( ( maps(X0,X1,X2)
| ~ sP0(X2,X0,X1)
| ? [X6] :
( member(X6,X1)
& ! [X7] :
( ~ member(X7,X2)
| ~ apply(X0,X6,X7) ) ) )
& ( ( sP0(X2,X0,X1)
& ! [X6] :
( ~ member(X6,X1)
| ? [X7] :
( member(X7,X2)
& apply(X0,X6,X7) ) ) )
| ~ maps(X0,X1,X2) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X2,X1] :
( ( maps(X0,X1,X2)
| ~ sP0(X2,X0,X1)
| ? [X6] :
( member(X6,X1)
& ! [X7] :
( ~ member(X7,X2)
| ~ apply(X0,X6,X7) ) ) )
& ( ( sP0(X2,X0,X1)
& ! [X6] :
( ~ member(X6,X1)
| ? [X7] :
( member(X7,X2)
& apply(X0,X6,X7) ) ) )
| ~ maps(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X1] :
( maps(X0,X1,X2)
<=> ( sP0(X2,X0,X1)
& ! [X6] :
( ~ member(X6,X1)
| ? [X7] :
( member(X7,X2)
& apply(X0,X6,X7) ) ) ) ),
inference(definition_folding,[],[f39,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ! [X5,X4,X3] :
( ~ member(X4,X2)
| ~ apply(X0,X3,X5)
| ~ member(X3,X1)
| ~ member(X5,X2)
| ~ apply(X0,X3,X4)
| X4 = X5 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f39,plain,
! [X0,X2,X1] :
( maps(X0,X1,X2)
<=> ( ! [X5,X4,X3] :
( ~ member(X4,X2)
| ~ apply(X0,X3,X5)
| ~ member(X3,X1)
| ~ member(X5,X2)
| ~ apply(X0,X3,X4)
| X4 = X5 )
& ! [X6] :
( ~ member(X6,X1)
| ? [X7] :
( member(X7,X2)
& apply(X0,X6,X7) ) ) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X0,X2] :
( ( ! [X3,X5,X4] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ member(X5,X2) )
& ! [X6] :
( ~ member(X6,X1)
| ? [X7] :
( member(X7,X2)
& apply(X0,X6,X7) ) ) )
<=> maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1,X0,X2] :
( ( ! [X3,X5,X4] :
( ( member(X4,X2)
& member(X3,X1)
& member(X5,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X4) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( member(X7,X2)
& apply(X0,X6,X7) ) ) )
<=> maps(X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X0,X1] :
( maps(X5,X0,X1)
<=> ( ! [X2,X6,X7] :
( ( member(X7,X1)
& member(X2,X0)
& member(X6,X1) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) )
& ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f59,plain,
maps(sK1,sK4,sK5),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( maps(sK3,sK2,sK4)
& ~ maps(compose_function(sK1,sK3,sK2,sK4,sK5),sK2,sK5)
& maps(sK1,sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f42,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2,X3,X4] :
( maps(X2,X1,X3)
& ~ maps(compose_function(X0,X2,X1,X3,X4),X1,X4)
& maps(X0,X3,X4) )
=> ( maps(sK3,sK2,sK4)
& ~ maps(compose_function(sK1,sK3,sK2,sK4,sK5),sK2,sK5)
& maps(sK1,sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2,X3,X4] :
( maps(X2,X1,X3)
& ~ maps(compose_function(X0,X2,X1,X3,X4),X1,X4)
& maps(X0,X3,X4) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
? [X1,X3,X0,X4,X2] :
( maps(X0,X3,X4)
& ~ maps(compose_function(X1,X0,X3,X4,X2),X3,X2)
& maps(X1,X4,X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X3,X2,X1,X0,X4] :
( ~ maps(compose_function(X1,X0,X3,X4,X2),X3,X2)
& maps(X0,X3,X4)
& maps(X1,X4,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X3,X2,X1,X0,X4] :
( ( maps(X0,X3,X4)
& maps(X1,X4,X2) )
=> maps(compose_function(X1,X0,X3,X4,X2),X3,X2) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X10,X0,X1] :
( ( maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> maps(compose_function(X9,X5,X0,X1,X10),X0,X10) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X9,X10,X0,X1] :
( ( maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> maps(compose_function(X9,X5,X0,X1,X10),X0,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII01) ).
fof(f507,plain,
( member(sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2)),sK4)
| ~ spl12_3 ),
inference(unit_resulting_resolution,[],[f105,f84]) ).
fof(f84,plain,
! [X0] :
( member(sK10(sK3,sK4,X0),sK4)
| ~ member(X0,sK2) ),
inference(resolution,[],[f61,f70]) ).
fof(f70,plain,
! [X2,X0,X1,X5] :
( ~ member(X5,X2)
| ~ maps(X0,X2,X1)
| member(sK10(X0,X1,X5),X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f61,plain,
maps(sK3,sK2,sK4),
inference(cnf_transformation,[],[f44]) ).
fof(f105,plain,
( member(sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),sK2)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl12_3
<=> member(sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f571,plain,
( ~ apply(sK1,sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2)),sK10(sK1,sK5,sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2))))
| ~ spl12_2
| ~ spl12_3 ),
inference(unit_resulting_resolution,[],[f525,f570]) ).
fof(f570,plain,
( ! [X0] :
( ~ apply(sK1,sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2)),X0)
| ~ member(X0,sK5) )
| ~ spl12_2
| ~ spl12_3 ),
inference(subsumption_resolution,[],[f569,f507]) ).
fof(f569,plain,
( ! [X0] :
( ~ member(X0,sK5)
| ~ member(sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2)),sK4)
| ~ apply(sK1,sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2)),X0) )
| ~ spl12_2
| ~ spl12_3 ),
inference(subsumption_resolution,[],[f566,f105]) ).
fof(f566,plain,
( ! [X0] :
( ~ apply(sK1,sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2)),X0)
| ~ member(sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),sK2)
| ~ member(sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2)),sK4)
| ~ member(X0,sK5) )
| ~ spl12_2
| ~ spl12_3 ),
inference(resolution,[],[f548,f85]) ).
fof(f85,plain,
! [X1] :
( apply(sK3,X1,sK10(sK3,sK4,X1))
| ~ member(X1,sK2) ),
inference(resolution,[],[f61,f69]) ).
fof(f548,plain,
( ! [X0,X1] :
( ~ apply(sK3,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),X1)
| ~ member(X0,sK5)
| ~ apply(sK1,X1,X0)
| ~ member(X1,sK4) )
| ~ spl12_2
| ~ spl12_3 ),
inference(subsumption_resolution,[],[f547,f105]) ).
fof(f547,plain,
( ! [X0,X1] :
( ~ apply(sK1,X1,X0)
| ~ member(X1,sK4)
| ~ apply(sK3,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),X1)
| ~ member(sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),sK2)
| ~ member(X0,sK5) )
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f544]) ).
fof(f544,plain,
( ! [X0,X1] :
( ~ apply(sK1,X1,X0)
| ~ apply(sK3,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),X1)
| ~ member(X0,sK5)
| ~ member(sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),sK2)
| ~ member(X1,sK4)
| ~ member(X0,sK5) )
| ~ spl12_2 ),
inference(resolution,[],[f100,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( ~ member(X5,X4)
| ~ member(X2,X0)
| ~ apply(X3,X2,X8)
| apply(compose_function(X6,X3,X0,X1,X4),X2,X5)
| ~ apply(X6,X8,X5)
| ~ member(X8,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X2,X0)
| ~ member(X5,X4)
| ( ( ( member(sK11(X1,X2,X3,X5,X6),X1)
& apply(X3,X2,sK11(X1,X2,X3,X5,X6))
& apply(X6,sK11(X1,X2,X3,X5,X6),X5) )
| ~ apply(compose_function(X6,X3,X0,X1,X4),X2,X5) )
& ( apply(compose_function(X6,X3,X0,X1,X4),X2,X5)
| ! [X8] :
( ~ member(X8,X1)
| ~ apply(X3,X2,X8)
| ~ apply(X6,X8,X5) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f56,f57]) ).
fof(f57,plain,
! [X1,X2,X3,X5,X6] :
( ? [X7] :
( member(X7,X1)
& apply(X3,X2,X7)
& apply(X6,X7,X5) )
=> ( member(sK11(X1,X2,X3,X5,X6),X1)
& apply(X3,X2,sK11(X1,X2,X3,X5,X6))
& apply(X6,sK11(X1,X2,X3,X5,X6),X5) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X2,X0)
| ~ member(X5,X4)
| ( ( ? [X7] :
( member(X7,X1)
& apply(X3,X2,X7)
& apply(X6,X7,X5) )
| ~ apply(compose_function(X6,X3,X0,X1,X4),X2,X5) )
& ( apply(compose_function(X6,X3,X0,X1,X4),X2,X5)
| ! [X8] :
( ~ member(X8,X1)
| ~ apply(X3,X2,X8)
| ~ apply(X6,X8,X5) ) ) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X6,X0,X2,X5,X3,X4,X1] :
( ~ member(X2,X6)
| ~ member(X4,X3)
| ( ( ? [X7] :
( member(X7,X0)
& apply(X5,X2,X7)
& apply(X1,X7,X4) )
| ~ apply(compose_function(X1,X5,X6,X0,X3),X2,X4) )
& ( apply(compose_function(X1,X5,X6,X0,X3),X2,X4)
| ! [X7] :
( ~ member(X7,X0)
| ~ apply(X5,X2,X7)
| ~ apply(X1,X7,X4) ) ) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X6,X0,X2,X5,X3,X4,X1] :
( ~ member(X2,X6)
| ~ member(X4,X3)
| ( ? [X7] :
( member(X7,X0)
& apply(X5,X2,X7)
& apply(X1,X7,X4) )
<=> apply(compose_function(X1,X5,X6,X0,X3),X2,X4) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X4,X5,X3,X0,X6,X2,X1] :
( ( ? [X7] :
( member(X7,X0)
& apply(X5,X2,X7)
& apply(X1,X7,X4) )
<=> apply(compose_function(X1,X5,X6,X0,X3),X2,X4) )
| ~ member(X4,X3)
| ~ member(X2,X6) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X4,X5,X3,X0,X6,X2,X1] :
( ( member(X4,X3)
& member(X2,X6) )
=> ( ? [X7] :
( member(X7,X0)
& apply(X5,X2,X7)
& apply(X1,X7,X4) )
<=> apply(compose_function(X1,X5,X6,X0,X3),X2,X4) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X9,X2,X10,X11,X5,X0] :
( ( member(X2,X0)
& member(X11,X10) )
=> ( ? [X4] :
( apply(X9,X4,X11)
& member(X4,X1)
& apply(X5,X2,X4) )
<=> apply(compose_function(X9,X5,X0,X1,X10),X2,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f100,plain,
( ! [X0] :
( ~ apply(compose_function(sK1,sK3,sK2,sK4,sK5),sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),X0)
| ~ member(X0,sK5) )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl12_2
<=> ! [X0] :
( ~ member(X0,sK5)
| ~ apply(compose_function(sK1,sK3,sK2,sK4,sK5),sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f525,plain,
( member(sK10(sK1,sK5,sK10(sK3,sK4,sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2))),sK5)
| ~ spl12_3 ),
inference(unit_resulting_resolution,[],[f507,f80]) ).
fof(f80,plain,
! [X0] :
( member(sK10(sK1,sK5,X0),sK5)
| ~ member(X0,sK4) ),
inference(resolution,[],[f59,f70]) ).
fof(f497,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f496,plain,
( $false
| spl12_1 ),
inference(subsumption_resolution,[],[f495,f137]) ).
fof(f137,plain,
( sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2) != sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)
| spl12_1 ),
inference(unit_resulting_resolution,[],[f97,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK7(X0,X1,X2) != sK6(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( member(sK7(X0,X1,X2),X0)
& apply(X1,sK8(X0,X1,X2),sK6(X0,X1,X2))
& member(sK8(X0,X1,X2),X2)
& member(sK6(X0,X1,X2),X0)
& apply(X1,sK8(X0,X1,X2),sK7(X0,X1,X2))
& sK7(X0,X1,X2) != sK6(X0,X1,X2) ) )
& ( ! [X6,X7,X8] :
( ~ member(X7,X0)
| ~ apply(X1,X8,X6)
| ~ member(X8,X2)
| ~ member(X6,X0)
| ~ apply(X1,X8,X7)
| X6 = X7 )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f46,f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( member(X4,X0)
& apply(X1,X5,X3)
& member(X5,X2)
& member(X3,X0)
& apply(X1,X5,X4)
& X3 != X4 )
=> ( member(sK7(X0,X1,X2),X0)
& apply(X1,sK8(X0,X1,X2),sK6(X0,X1,X2))
& member(sK8(X0,X1,X2),X2)
& member(sK6(X0,X1,X2),X0)
& apply(X1,sK8(X0,X1,X2),sK7(X0,X1,X2))
& sK7(X0,X1,X2) != sK6(X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3,X4,X5] :
( member(X4,X0)
& apply(X1,X5,X3)
& member(X5,X2)
& member(X3,X0)
& apply(X1,X5,X4)
& X3 != X4 ) )
& ( ! [X6,X7,X8] :
( ~ member(X7,X0)
| ~ apply(X1,X8,X6)
| ~ member(X8,X2)
| ~ member(X6,X0)
| ~ apply(X1,X8,X7)
| X6 = X7 )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X5,X4,X3] :
( member(X4,X2)
& apply(X0,X3,X5)
& member(X3,X1)
& member(X5,X2)
& apply(X0,X3,X4)
& X4 != X5 ) )
& ( ! [X5,X4,X3] :
( ~ member(X4,X2)
| ~ apply(X0,X3,X5)
| ~ member(X3,X1)
| ~ member(X5,X2)
| ~ apply(X0,X3,X4)
| X4 = X5 )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f97,plain,
( ~ sP0(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)
| spl12_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl12_1
<=> sP0(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f495,plain,
( sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2) = sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)
| spl12_1 ),
inference(backward_demodulation,[],[f427,f487]) ).
fof(f487,plain,
( sK10(sK1,sK5,sK10(sK3,sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2))) = sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)
| spl12_1 ),
inference(backward_demodulation,[],[f450,f477]) ).
fof(f477,plain,
( sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1) = sK10(sK3,sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2))
| spl12_1 ),
inference(unit_resulting_resolution,[],[f83,f147,f192,f193,f262,f264,f62]) ).
fof(f62,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ member(X8,X2)
| ~ apply(X1,X8,X6)
| ~ sP0(X0,X1,X2)
| ~ member(X6,X0)
| ~ apply(X1,X8,X7)
| X6 = X7
| ~ member(X7,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f264,plain,
( apply(sK3,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1))
| spl12_1 ),
inference(unit_resulting_resolution,[],[f147,f146,f148,f76]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ member(X5,X4)
| ~ apply(compose_function(X6,X3,X0,X1,X4),X2,X5)
| apply(X3,X2,sK11(X1,X2,X3,X5,X6))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f148,plain,
( apply(compose_function(sK1,sK3,sK2,sK4,sK5),sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2))
| spl12_1 ),
inference(resolution,[],[f97,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| apply(X1,sK8(X0,X1,X2),sK6(X0,X1,X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f146,plain,
( member(sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK5)
| spl12_1 ),
inference(resolution,[],[f97,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| member(sK6(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f262,plain,
( member(sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1),sK4)
| spl12_1 ),
inference(unit_resulting_resolution,[],[f147,f146,f148,f77]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ member(X5,X4)
| ~ apply(compose_function(X6,X3,X0,X1,X4),X2,X5)
| member(sK11(X1,X2,X3,X5,X6),X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f193,plain,
( apply(sK3,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK10(sK3,sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)))
| spl12_1 ),
inference(unit_resulting_resolution,[],[f61,f147,f69]) ).
fof(f192,plain,
( member(sK10(sK3,sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)),sK4)
| spl12_1 ),
inference(unit_resulting_resolution,[],[f147,f84]) ).
fof(f147,plain,
( member(sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK2)
| spl12_1 ),
inference(resolution,[],[f97,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( member(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f83,plain,
sP0(sK4,sK3,sK2),
inference(resolution,[],[f61,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| ~ maps(X0,X2,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f450,plain,
( sK10(sK1,sK5,sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1)) = sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)
| spl12_1 ),
inference(unit_resulting_resolution,[],[f146,f262,f263,f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ apply(sK1,X0,X1)
| sK10(sK1,sK5,X0) = X1
| ~ member(X1,sK5)
| ~ member(X0,sK4) ),
inference(subsumption_resolution,[],[f235,f80]) ).
fof(f235,plain,
! [X0,X1] :
( sK10(sK1,sK5,X0) = X1
| ~ apply(sK1,X0,X1)
| ~ member(sK10(sK1,sK5,X0),sK5)
| ~ member(X1,sK5)
| ~ member(X0,sK4) ),
inference(duplicate_literal_removal,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ member(sK10(sK1,sK5,X0),sK5)
| ~ member(X1,sK5)
| ~ member(X0,sK4)
| sK10(sK1,sK5,X0) = X1
| ~ member(X0,sK4)
| ~ apply(sK1,X0,X1) ),
inference(resolution,[],[f88,f81]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ apply(sK1,X0,X2)
| ~ apply(sK1,X0,X1)
| ~ member(X1,sK5)
| X1 = X2
| ~ member(X2,sK5)
| ~ member(X0,sK4) ),
inference(resolution,[],[f78,f62]) ).
fof(f78,plain,
sP0(sK5,sK1,sK4),
inference(unit_resulting_resolution,[],[f59,f71]) ).
fof(f263,plain,
( apply(sK1,sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1),sK6(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2))
| spl12_1 ),
inference(unit_resulting_resolution,[],[f147,f146,f148,f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(X6,sK11(X1,X2,X3,X5,X6),X5)
| ~ apply(compose_function(X6,X3,X0,X1,X4),X2,X5)
| ~ member(X5,X4)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f427,plain,
( sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2) = sK10(sK1,sK5,sK10(sK3,sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)))
| spl12_1 ),
inference(backward_demodulation,[],[f360,f407]) ).
fof(f407,plain,
( sK10(sK3,sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)) = sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1)
| spl12_1 ),
inference(unit_resulting_resolution,[],[f147,f192,f193,f252,f254,f91]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ apply(sK3,X0,X2)
| ~ member(X0,sK2)
| X1 = X2
| ~ member(X2,sK4)
| ~ apply(sK3,X0,X1)
| ~ member(X1,sK4) ),
inference(resolution,[],[f83,f62]) ).
fof(f254,plain,
( apply(sK3,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1))
| spl12_1 ),
inference(unit_resulting_resolution,[],[f147,f142,f138,f76]) ).
fof(f138,plain,
( apply(compose_function(sK1,sK3,sK2,sK4,sK5),sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2))
| spl12_1 ),
inference(unit_resulting_resolution,[],[f97,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( apply(X1,sK8(X0,X1,X2),sK7(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f142,plain,
( member(sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK5)
| spl12_1 ),
inference(unit_resulting_resolution,[],[f97,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| member(sK7(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f252,plain,
( member(sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1),sK4)
| spl12_1 ),
inference(unit_resulting_resolution,[],[f147,f142,f138,f77]) ).
fof(f360,plain,
( sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2) = sK10(sK1,sK5,sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1))
| spl12_1 ),
inference(unit_resulting_resolution,[],[f142,f252,f253,f236]) ).
fof(f253,plain,
( apply(sK1,sK11(sK4,sK8(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK3,sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2),sK1),sK7(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2))
| spl12_1 ),
inference(unit_resulting_resolution,[],[f147,f142,f138,f75]) ).
fof(f106,plain,
( ~ spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f93,f103,f95]) ).
fof(f93,plain,
( member(sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),sK2)
| ~ sP0(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2) ),
inference(resolution,[],[f60,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( member(sK9(X0,X1,X2),X2)
| maps(X0,X2,X1)
| ~ sP0(X1,X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f60,plain,
~ maps(compose_function(sK1,sK3,sK2,sK4,sK5),sK2,sK5),
inference(cnf_transformation,[],[f44]) ).
fof(f101,plain,
( ~ spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f92,f99,f95]) ).
fof(f92,plain,
! [X0] :
( ~ member(X0,sK5)
| ~ sP0(sK5,compose_function(sK1,sK3,sK2,sK4,sK5),sK2)
| ~ apply(compose_function(sK1,sK3,sK2,sK4,sK5),sK9(compose_function(sK1,sK3,sK2,sK4,sK5),sK5,sK2),X0) ),
inference(resolution,[],[f60,f72]) ).
fof(f72,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X1,X0,X2)
| maps(X0,X2,X1)
| ~ member(X4,X1)
| ~ apply(X0,sK9(X0,X1,X2),X4) ),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET709+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.13 % 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 : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:29:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (11778)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)
% 0.19/0.51 % (11770)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)
% 0.19/0.51 % (11781)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)
% 0.19/0.52 % (11768)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (11781)Instruction limit reached!
% 0.19/0.52 % (11781)------------------------------
% 0.19/0.52 % (11781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11781)Termination reason: Unknown
% 0.19/0.52 % (11781)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (11781)Memory used [KB]: 1535
% 0.19/0.52 % (11781)Time elapsed: 0.008 s
% 0.19/0.52 % (11781)Instructions burned: 4 (million)
% 0.19/0.52 % (11781)------------------------------
% 0.19/0.52 % (11781)------------------------------
% 0.19/0.52 % (11773)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)
% 0.19/0.53 % (11789)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)
% 0.19/0.53 % (11778)Refutation not found, incomplete strategy% (11778)------------------------------
% 0.19/0.53 % (11778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11778)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (11778)Memory used [KB]: 6012
% 0.19/0.53 % (11778)Time elapsed: 0.127 s
% 0.19/0.53 % (11778)Instructions burned: 2 (million)
% 0.19/0.53 % (11778)------------------------------
% 0.19/0.53 % (11778)------------------------------
% 0.19/0.53 % (11771)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)
% 0.19/0.53 % (11769)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)
% 0.19/0.53 % (11770)Refutation not found, incomplete strategy% (11770)------------------------------
% 0.19/0.53 % (11770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11770)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (11770)Memory used [KB]: 6012
% 0.19/0.53 % (11770)Time elapsed: 0.124 s
% 0.19/0.53 % (11770)Instructions burned: 3 (million)
% 0.19/0.53 % (11770)------------------------------
% 0.19/0.53 % (11770)------------------------------
% 0.19/0.53 % (11790)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)
% 0.19/0.53 % (11769)Instruction limit reached!
% 0.19/0.53 % (11769)------------------------------
% 0.19/0.53 % (11769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11769)Termination reason: Unknown
% 0.19/0.53 % (11769)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (11769)Memory used [KB]: 1535
% 0.19/0.53 % (11769)Time elapsed: 0.002 s
% 0.19/0.53 % (11769)Instructions burned: 3 (million)
% 0.19/0.53 % (11769)------------------------------
% 0.19/0.53 % (11769)------------------------------
% 0.19/0.53 % (11779)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)
% 0.19/0.53 % (11795)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)
% 0.19/0.54 % (11774)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)
% 0.19/0.54 % (11772)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)
% 0.19/0.54 % (11786)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)
% 0.19/0.54 % (11786)Refutation not found, incomplete strategy% (11786)------------------------------
% 0.19/0.54 % (11786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11786)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (11786)Memory used [KB]: 6012
% 0.19/0.54 % (11786)Time elapsed: 0.137 s
% 0.19/0.54 % (11786)Instructions burned: 3 (million)
% 0.19/0.54 % (11786)------------------------------
% 0.19/0.54 % (11786)------------------------------
% 0.19/0.54 % (11792)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)
% 0.19/0.54 % (11795)Instruction limit reached!
% 0.19/0.54 % (11795)------------------------------
% 0.19/0.54 % (11795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11795)Termination reason: Unknown
% 0.19/0.54 % (11795)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (11795)Memory used [KB]: 6140
% 0.19/0.54 % (11795)Time elapsed: 0.142 s
% 0.19/0.54 % (11795)Instructions burned: 8 (million)
% 0.19/0.54 % (11795)------------------------------
% 0.19/0.54 % (11795)------------------------------
% 0.19/0.54 % (11775)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)
% 0.19/0.54 % (11787)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)
% 0.19/0.54 % (11782)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)
% 0.19/0.54 % (11776)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.54 % (11768)Refutation not found, incomplete strategy% (11768)------------------------------
% 0.19/0.54 % (11768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11768)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (11768)Memory used [KB]: 6012
% 0.19/0.54 % (11768)Time elapsed: 0.146 s
% 0.19/0.54 % (11768)Instructions burned: 4 (million)
% 0.19/0.54 % (11768)------------------------------
% 0.19/0.54 % (11768)------------------------------
% 1.42/0.54 % (11777)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.42/0.54 % (11767)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.42/0.54 % (11776)Refutation not found, incomplete strategy% (11776)------------------------------
% 1.42/0.54 % (11776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (11776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (11776)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.54
% 1.42/0.54 % (11776)Memory used [KB]: 6012
% 1.42/0.54 % (11776)Time elapsed: 0.148 s
% 1.42/0.54 % (11776)Instructions burned: 2 (million)
% 1.42/0.54 % (11776)------------------------------
% 1.42/0.54 % (11776)------------------------------
% 1.42/0.54 % (11794)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.42/0.54 % (11780)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.55 % (11782)Instruction limit reached!
% 1.42/0.55 % (11782)------------------------------
% 1.42/0.55 % (11782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (11782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (11782)Termination reason: Unknown
% 1.42/0.55 % (11782)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (11782)Memory used [KB]: 6140
% 1.42/0.55 % (11782)Time elapsed: 0.148 s
% 1.42/0.55 % (11782)Instructions burned: 8 (million)
% 1.42/0.55 % (11782)------------------------------
% 1.42/0.55 % (11782)------------------------------
% 1.42/0.55 % (11771)Instruction limit reached!
% 1.42/0.55 % (11771)------------------------------
% 1.42/0.55 % (11771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (11771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (11771)Termination reason: Unknown
% 1.42/0.55 % (11771)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (11771)Memory used [KB]: 6140
% 1.42/0.55 % (11771)Time elapsed: 0.134 s
% 1.42/0.55 % (11771)Instructions burned: 13 (million)
% 1.42/0.55 % (11771)------------------------------
% 1.42/0.55 % (11771)------------------------------
% 1.42/0.55 % (11783)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)
% 1.42/0.55 % (11780)Refutation not found, incomplete strategy% (11780)------------------------------
% 1.42/0.55 % (11780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (11780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (11780)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55
% 1.42/0.55 % (11780)Memory used [KB]: 6012
% 1.42/0.55 % (11780)Time elapsed: 0.134 s
% 1.42/0.55 % (11780)Instructions burned: 3 (million)
% 1.42/0.55 % (11780)------------------------------
% 1.42/0.55 % (11780)------------------------------
% 1.42/0.55 % (11788)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55 % (11784)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.42/0.55 % (11783)Refutation not found, incomplete strategy% (11783)------------------------------
% 1.42/0.55 % (11783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (11783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (11783)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55
% 1.42/0.55 % (11783)Memory used [KB]: 6140
% 1.42/0.55 % (11783)Time elapsed: 0.147 s
% 1.42/0.55 % (11783)Instructions burned: 5 (million)
% 1.42/0.55 % (11783)------------------------------
% 1.42/0.55 % (11783)------------------------------
% 1.42/0.55 % (11785)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.55 % (11785)Instruction limit reached!
% 1.42/0.55 % (11785)------------------------------
% 1.42/0.55 % (11785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (11785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (11785)Termination reason: Unknown
% 1.42/0.55 % (11785)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (11785)Memory used [KB]: 1407
% 1.42/0.55 % (11785)Time elapsed: 0.002 s
% 1.42/0.55 % (11785)Instructions burned: 2 (million)
% 1.42/0.55 % (11785)------------------------------
% 1.42/0.55 % (11785)------------------------------
% 1.42/0.55 % (11791)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)
% 1.42/0.55 % (11784)Instruction limit reached!
% 1.42/0.55 % (11784)------------------------------
% 1.42/0.55 % (11784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (11784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (11784)Termination reason: Unknown
% 1.42/0.55 % (11784)Termination phase: Property scanning
% 1.42/0.55
% 1.42/0.55 % (11784)Memory used [KB]: 1535
% 1.42/0.55 % (11784)Time elapsed: 0.004 s
% 1.42/0.55 % (11784)Instructions burned: 4 (million)
% 1.42/0.55 % (11784)------------------------------
% 1.42/0.55 % (11784)------------------------------
% 1.42/0.55 % (11796)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)
% 1.62/0.56 % (11793)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.62/0.56 % (11793)Refutation not found, incomplete strategy% (11793)------------------------------
% 1.62/0.56 % (11793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56 % (11793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56 % (11793)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.56
% 1.62/0.56 % (11793)Memory used [KB]: 6140
% 1.62/0.56 % (11793)Time elapsed: 0.155 s
% 1.62/0.56 % (11793)Instructions burned: 6 (million)
% 1.62/0.56 % (11793)------------------------------
% 1.62/0.56 % (11793)------------------------------
% 1.62/0.56 % (11777)Instruction limit reached!
% 1.62/0.56 % (11777)------------------------------
% 1.62/0.56 % (11777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56 % (11777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56 % (11777)Termination reason: Unknown
% 1.62/0.56 % (11777)Termination phase: Saturation
% 1.62/0.56
% 1.62/0.56 % (11777)Memory used [KB]: 6140
% 1.62/0.56 % (11777)Time elapsed: 0.153 s
% 1.62/0.56 % (11777)Instructions burned: 12 (million)
% 1.62/0.56 % (11777)------------------------------
% 1.62/0.56 % (11777)------------------------------
% 1.62/0.56 % (11779)Instruction limit reached!
% 1.62/0.56 % (11779)------------------------------
% 1.62/0.56 % (11779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56 % (11779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56 % (11779)Termination reason: Unknown
% 1.62/0.56 % (11779)Termination phase: Saturation
% 1.62/0.56
% 1.62/0.56 % (11779)Memory used [KB]: 1918
% 1.62/0.56 % (11779)Time elapsed: 0.166 s
% 1.62/0.56 % (11779)Instructions burned: 17 (million)
% 1.62/0.56 % (11779)------------------------------
% 1.62/0.56 % (11779)------------------------------
% 1.62/0.57 % (11788)Refutation not found, incomplete strategy% (11788)------------------------------
% 1.62/0.57 % (11788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (11788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (11788)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.57
% 1.62/0.57 % (11788)Memory used [KB]: 6012
% 1.62/0.57 % (11788)Time elapsed: 0.148 s
% 1.62/0.57 % (11788)Instructions burned: 4 (million)
% 1.62/0.57 % (11788)------------------------------
% 1.62/0.57 % (11788)------------------------------
% 1.62/0.57 % (11794)Instruction limit reached!
% 1.62/0.57 % (11794)------------------------------
% 1.62/0.57 % (11794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (11794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (11794)Termination reason: Unknown
% 1.62/0.57 % (11794)Termination phase: Saturation
% 1.62/0.57
% 1.62/0.57 % (11794)Memory used [KB]: 6396
% 1.62/0.57 % (11794)Time elapsed: 0.159 s
% 1.62/0.57 % (11794)Instructions burned: 26 (million)
% 1.62/0.57 % (11794)------------------------------
% 1.62/0.57 % (11794)------------------------------
% 1.62/0.58 % (11772)Instruction limit reached!
% 1.62/0.58 % (11772)------------------------------
% 1.62/0.58 % (11772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (11772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (11772)Termination reason: Unknown
% 1.62/0.58 % (11772)Termination phase: Saturation
% 1.62/0.58
% 1.62/0.58 % (11772)Memory used [KB]: 1663
% 1.62/0.58 % (11772)Time elapsed: 0.167 s
% 1.62/0.58 % (11772)Instructions burned: 15 (million)
% 1.62/0.58 % (11772)------------------------------
% 1.62/0.58 % (11772)------------------------------
% 1.62/0.59 % (11773)Instruction limit reached!
% 1.62/0.59 % (11773)------------------------------
% 1.62/0.59 % (11773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (11773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (11773)Termination reason: Unknown
% 1.62/0.59 % (11773)Termination phase: Saturation
% 1.62/0.59
% 1.62/0.59 % (11773)Memory used [KB]: 6524
% 1.62/0.59 % (11773)Time elapsed: 0.105 s
% 1.62/0.59 % (11773)Instructions burned: 41 (million)
% 1.62/0.59 % (11773)------------------------------
% 1.62/0.59 % (11773)------------------------------
% 1.62/0.59 % (11787)Instruction limit reached!
% 1.62/0.59 % (11787)------------------------------
% 1.62/0.59 % (11787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (11787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (11787)Termination reason: Unknown
% 1.62/0.59 % (11787)Termination phase: Saturation
% 1.62/0.59
% 1.62/0.59 % (11787)Memory used [KB]: 6396
% 1.62/0.59 % (11787)Time elapsed: 0.192 s
% 1.62/0.59 % (11787)Instructions burned: 31 (million)
% 1.62/0.59 % (11787)------------------------------
% 1.62/0.59 % (11787)------------------------------
% 1.62/0.59 % (11774)First to succeed.
% 1.62/0.60 % (11796)Instruction limit reached!
% 1.62/0.60 % (11796)------------------------------
% 1.62/0.60 % (11796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.60 % (11796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.60 % (11796)Termination reason: Unknown
% 1.62/0.60 % (11796)Termination phase: Saturation
% 1.62/0.60
% 1.62/0.60 % (11796)Memory used [KB]: 6268
% 1.62/0.60 % (11796)Time elapsed: 0.168 s
% 1.62/0.60 % (11796)Instructions burned: 26 (million)
% 1.62/0.60 % (11796)------------------------------
% 1.62/0.60 % (11796)------------------------------
% 1.62/0.61 % (11774)Refutation found. Thanks to Tanya!
% 1.62/0.61 % SZS status Theorem for theBenchmark
% 1.62/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.61 % (11774)------------------------------
% 1.62/0.61 % (11774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.61 % (11774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.61 % (11774)Termination reason: Refutation
% 1.62/0.61
% 1.62/0.61 % (11774)Memory used [KB]: 6268
% 1.62/0.61 % (11774)Time elapsed: 0.181 s
% 1.62/0.61 % (11774)Instructions burned: 23 (million)
% 1.62/0.61 % (11774)------------------------------
% 1.62/0.61 % (11774)------------------------------
% 1.62/0.61 % (11766)Success in time 0.262 s
%------------------------------------------------------------------------------