TSTP Solution File: SET711+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET711+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:21:57 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 79 ( 14 unt; 0 def)
% Number of atoms : 300 ( 19 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 314 ( 93 ~; 88 |; 91 &)
% ( 18 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 230 ( 198 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f323,plain,
$false,
inference(avatar_sat_refutation,[],[f238,f244,f250,f260,f285,f322]) ).
fof(f322,plain,
( ~ spl18_2
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f318,plain,
( $false
| ~ spl18_2
| ~ spl18_4 ),
inference(unit_resulting_resolution,[],[f220,f223,f256,f218,f219,f234,f180,f286]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ one_to_one(X0,X3,X5)
| ~ apply(X0,X1,X2)
| X1 = X4
| ~ member(X2,X5)
| ~ member(X1,X3)
| ~ member(X4,X3)
| ~ apply(X0,X4,X2) ),
inference(resolution,[],[f147,f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( injective(X2,X1,X0)
| ~ one_to_one(X2,X1,X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ~ one_to_one(X2,X1,X0)
| ( injective(X2,X1,X0)
& surjective(X2,X1,X0) ) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X1,X2,X0] :
( ~ one_to_one(X0,X2,X1)
| ( injective(X0,X2,X1)
& surjective(X0,X2,X1) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( one_to_one(X0,X2,X1)
=> ( injective(X0,X2,X1)
& surjective(X0,X2,X1) ) ),
inference(unused_predicate_definition_removal,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( injective(X0,X2,X1)
& surjective(X0,X2,X1) )
<=> one_to_one(X0,X2,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X5,X1,X0] :
( ( injective(X5,X0,X1)
& surjective(X5,X0,X1) )
<=> one_to_one(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_to_one) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ injective(X1,X0,X2)
| ~ apply(X1,X4,X5)
| ~ member(X4,X0)
| ~ member(X3,X0)
| ~ member(X5,X2)
| ~ apply(X1,X3,X5)
| X3 = X4 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ member(X4,X0)
| ~ member(X3,X0)
| ~ member(X5,X2)
| X3 = X4
| ~ apply(X1,X3,X5)
| ~ apply(X1,X4,X5) )
| ~ injective(X1,X0,X2) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X1,X2,X0] :
( ! [X4,X5,X3] :
( ~ member(X5,X1)
| ~ member(X4,X1)
| ~ member(X3,X0)
| X4 = X5
| ~ apply(X2,X4,X3)
| ~ apply(X2,X5,X3) )
| ~ injective(X2,X1,X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X2,X5,X3)
| ~ apply(X2,X4,X3)
| ~ member(X3,X0)
| ~ member(X4,X1)
| ~ member(X5,X1) )
| ~ injective(X2,X1,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( injective(X2,X1,X0)
=> ! [X3,X4,X5] :
( ( member(X3,X0)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X2,X5,X3)
& apply(X2,X4,X3) )
=> X4 = X5 ) ) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( injective(X2,X1,X0)
<=> ! [X3,X4,X5] :
( ( member(X3,X0)
& member(X4,X1)
& member(X5,X1) )
=> ( ( apply(X2,X5,X3)
& apply(X2,X4,X3) )
=> X4 = X5 ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0,X5] :
( ! [X4,X12,X13] :
( ( member(X4,X1)
& member(X12,X0)
& member(X13,X0) )
=> ( ( apply(X5,X12,X4)
& apply(X5,X13,X4) )
=> X12 = X13 ) )
<=> injective(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f180,plain,
one_to_one(sK10,sK8,sK12),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( inverse_predicate(sK9,sK10,sK8,sK12)
& maps(sK10,sK8,sK12)
& inverse_predicate(sK11,sK10,sK8,sK12)
& ~ equal_maps(sK9,sK11,sK12,sK8)
& one_to_one(sK10,sK8,sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12])],[f112,f113]) ).
fof(f113,plain,
( ? [X0,X1,X2,X3,X4] :
( inverse_predicate(X1,X2,X0,X4)
& maps(X2,X0,X4)
& inverse_predicate(X3,X2,X0,X4)
& ~ equal_maps(X1,X3,X4,X0)
& one_to_one(X2,X0,X4) )
=> ( inverse_predicate(sK9,sK10,sK8,sK12)
& maps(sK10,sK8,sK12)
& inverse_predicate(sK11,sK10,sK8,sK12)
& ~ equal_maps(sK9,sK11,sK12,sK8)
& one_to_one(sK10,sK8,sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
? [X0,X1,X2,X3,X4] :
( inverse_predicate(X1,X2,X0,X4)
& maps(X2,X0,X4)
& inverse_predicate(X3,X2,X0,X4)
& ~ equal_maps(X1,X3,X4,X0)
& one_to_one(X2,X0,X4) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
? [X4,X1,X2,X0,X3] :
( inverse_predicate(X1,X2,X4,X3)
& maps(X2,X4,X3)
& inverse_predicate(X0,X2,X4,X3)
& ~ equal_maps(X1,X0,X3,X4)
& one_to_one(X2,X4,X3) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
? [X4,X3,X0,X1,X2] :
( ~ equal_maps(X1,X0,X3,X4)
& maps(X2,X4,X3)
& inverse_predicate(X1,X2,X4,X3)
& one_to_one(X2,X4,X3)
& inverse_predicate(X0,X2,X4,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X4,X3,X0,X1,X2] :
( ( maps(X2,X4,X3)
& inverse_predicate(X1,X2,X4,X3)
& one_to_one(X2,X4,X3)
& inverse_predicate(X0,X2,X4,X3) )
=> equal_maps(X1,X0,X3,X4) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X8,X9,X5,X1,X0] :
( ( one_to_one(X5,X0,X1)
& maps(X5,X0,X1)
& inverse_predicate(X8,X5,X0,X1)
& inverse_predicate(X9,X5,X0,X1) )
=> equal_maps(X9,X8,X1,X0) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X8,X9,X5,X1,X0] :
( ( one_to_one(X5,X0,X1)
& maps(X5,X0,X1)
& inverse_predicate(X8,X5,X0,X1)
& inverse_predicate(X9,X5,X0,X1) )
=> equal_maps(X9,X8,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII03a) ).
fof(f234,plain,
( apply(sK10,sK5(sK11,sK12,sK8,sK9),sK4(sK11,sK12,sK8,sK9))
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl18_2
<=> apply(sK10,sK5(sK11,sK12,sK8,sK9),sK4(sK11,sK12,sK8,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f219,plain,
member(sK4(sK11,sK12,sK8,sK9),sK12),
inference(resolution,[],[f170,f181]) ).
fof(f181,plain,
~ equal_maps(sK9,sK11,sK12,sK8),
inference(cnf_transformation,[],[f114]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( equal_maps(X3,X0,X1,X2)
| member(sK4(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( member(sK6(X0,X1,X2,X3),X2)
& member(sK4(X0,X1,X2,X3),X1)
& sK6(X0,X1,X2,X3) != sK5(X0,X1,X2,X3)
& apply(X0,sK4(X0,X1,X2,X3),sK5(X0,X1,X2,X3))
& member(sK5(X0,X1,X2,X3),X2)
& apply(X3,sK4(X0,X1,X2,X3),sK6(X0,X1,X2,X3)) )
| equal_maps(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f103,f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( member(X6,X2)
& member(X4,X1)
& X5 != X6
& apply(X0,X4,X5)
& member(X5,X2)
& apply(X3,X4,X6) )
=> ( member(sK6(X0,X1,X2,X3),X2)
& member(sK4(X0,X1,X2,X3),X1)
& sK6(X0,X1,X2,X3) != sK5(X0,X1,X2,X3)
& apply(X0,sK4(X0,X1,X2,X3),sK5(X0,X1,X2,X3))
& member(sK5(X0,X1,X2,X3),X2)
& apply(X3,sK4(X0,X1,X2,X3),sK6(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( member(X6,X2)
& member(X4,X1)
& X5 != X6
& apply(X0,X4,X5)
& member(X5,X2)
& apply(X3,X4,X6) )
| equal_maps(X3,X0,X1,X2) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X2,X1,X3,X0] :
( ? [X6,X5,X4] :
( member(X4,X3)
& member(X6,X1)
& X4 != X5
& apply(X2,X6,X5)
& member(X5,X3)
& apply(X0,X6,X4) )
| equal_maps(X0,X2,X1,X3) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X1,X2,X0,X3] :
( equal_maps(X0,X2,X1,X3)
| ? [X4,X6,X5] :
( X4 != X5
& apply(X0,X6,X4)
& apply(X2,X6,X5)
& member(X4,X3)
& member(X6,X1)
& member(X5,X3) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X2,X0,X3] :
( ! [X4,X6,X5] :
( ( member(X4,X3)
& member(X6,X1)
& member(X5,X3) )
=> ( ( apply(X0,X6,X4)
& apply(X2,X6,X5) )
=> X4 = X5 ) )
=> equal_maps(X0,X2,X1,X3) ),
inference(unused_predicate_definition_removal,[],[f46]) ).
fof(f46,plain,
! [X1,X2,X0,X3] :
( equal_maps(X0,X2,X1,X3)
<=> ! [X4,X6,X5] :
( ( member(X4,X3)
& member(X6,X1)
& member(X5,X3) )
=> ( ( apply(X0,X6,X4)
& apply(X2,X6,X5) )
=> X4 = X5 ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X5,X0,X9,X1] :
( ! [X6,X7,X2] :
( ( member(X7,X1)
& member(X6,X1)
& member(X2,X0) )
=> ( ( apply(X5,X2,X6)
& apply(X9,X2,X7) )
=> X6 = X7 ) )
<=> equal_maps(X5,X9,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_maps) ).
fof(f218,plain,
member(sK5(sK11,sK12,sK8,sK9),sK8),
inference(resolution,[],[f167,f181]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( equal_maps(X3,X0,X1,X2)
| member(sK5(X0,X1,X2,X3),X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f256,plain,
( apply(sK10,sK6(sK11,sK12,sK8,sK9),sK4(sK11,sK12,sK8,sK9))
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl18_4
<=> apply(sK10,sK6(sK11,sK12,sK8,sK9),sK4(sK11,sK12,sK8,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).
fof(f223,plain,
sK5(sK11,sK12,sK8,sK9) != sK6(sK11,sK12,sK8,sK9),
inference(resolution,[],[f169,f181]) ).
fof(f169,plain,
! [X2,X3,X0,X1] :
( equal_maps(X3,X0,X1,X2)
| sK6(X0,X1,X2,X3) != sK5(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f105]) ).
fof(f220,plain,
member(sK6(sK11,sK12,sK8,sK9),sK8),
inference(resolution,[],[f171,f181]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( equal_maps(X3,X0,X1,X2)
| member(sK6(X0,X1,X2,X3),X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f285,plain,
spl18_5,
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| spl18_5 ),
inference(unit_resulting_resolution,[],[f181,f259,f171]) ).
fof(f259,plain,
( ~ member(sK6(sK11,sK12,sK8,sK9),sK8)
| spl18_5 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl18_5
<=> member(sK6(sK11,sK12,sK8,sK9),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).
fof(f260,plain,
( ~ spl18_3
| spl18_4
| ~ spl18_5 ),
inference(avatar_split_clause,[],[f253,f258,f255,f236]) ).
fof(f236,plain,
( spl18_3
<=> member(sK4(sK11,sK12,sK8,sK9),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
fof(f253,plain,
( ~ member(sK6(sK11,sK12,sK8,sK9),sK8)
| apply(sK10,sK6(sK11,sK12,sK8,sK9),sK4(sK11,sK12,sK8,sK9))
| ~ member(sK4(sK11,sK12,sK8,sK9),sK12) ),
inference(resolution,[],[f227,f224]) ).
fof(f224,plain,
apply(sK9,sK4(sK11,sK12,sK8,sK9),sK6(sK11,sK12,sK8,sK9)),
inference(resolution,[],[f166,f181]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( equal_maps(X3,X0,X1,X2)
| apply(X3,sK4(X0,X1,X2,X3),sK6(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f227,plain,
! [X2,X3] :
( ~ apply(sK9,X3,X2)
| apply(sK10,X2,X3)
| ~ member(X2,sK8)
| ~ member(X3,sK12) ),
inference(resolution,[],[f152,f184]) ).
fof(f184,plain,
inverse_predicate(sK9,sK10,sK8,sK12),
inference(cnf_transformation,[],[f114]) ).
fof(f152,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ inverse_predicate(X1,X3,X2,X0)
| ~ member(X4,X2)
| apply(X3,X4,X5)
| ~ apply(X1,X5,X4)
| ~ member(X5,X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( ~ member(X5,X0)
| ( ( apply(X1,X5,X4)
| ~ apply(X3,X4,X5) )
& ( apply(X3,X4,X5)
| ~ apply(X1,X5,X4) ) )
| ~ member(X4,X2) )
| ~ inverse_predicate(X1,X3,X2,X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X3,X2] :
( ! [X4,X5] :
( ~ member(X5,X0)
| ( ( apply(X1,X5,X4)
| ~ apply(X2,X4,X5) )
& ( apply(X2,X4,X5)
| ~ apply(X1,X5,X4) ) )
| ~ member(X4,X3) )
| ~ inverse_predicate(X1,X2,X3,X0) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X3,X2] :
( ! [X4,X5] :
( ~ member(X5,X0)
| ( apply(X1,X5,X4)
<=> apply(X2,X4,X5) )
| ~ member(X4,X3) )
| ~ inverse_predicate(X1,X2,X3,X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X3,X2,X0,X1] :
( ! [X5,X4] :
( ( apply(X1,X5,X4)
<=> apply(X2,X4,X5) )
| ~ member(X5,X0)
| ~ member(X4,X3) )
| ~ inverse_predicate(X1,X2,X3,X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X3,X2,X0,X1] :
( inverse_predicate(X1,X2,X3,X0)
=> ! [X5,X4] :
( ( member(X5,X0)
& member(X4,X3) )
=> ( apply(X1,X5,X4)
<=> apply(X2,X4,X5) ) ) ),
inference(unused_predicate_definition_removal,[],[f52]) ).
fof(f52,plain,
! [X3,X2,X0,X1] :
( ! [X5,X4] :
( ( member(X5,X0)
& member(X4,X3) )
=> ( apply(X1,X5,X4)
<=> apply(X2,X4,X5) ) )
<=> inverse_predicate(X1,X2,X3,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X1,X9,X5,X0] :
( inverse_predicate(X9,X5,X0,X1)
<=> ! [X2,X4] :
( ( member(X4,X1)
& member(X2,X0) )
=> ( apply(X5,X2,X4)
<=> apply(X9,X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_predicate) ).
fof(f250,plain,
spl18_3,
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| spl18_3 ),
inference(resolution,[],[f237,f219]) ).
fof(f237,plain,
( ~ member(sK4(sK11,sK12,sK8,sK9),sK12)
| spl18_3 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f244,plain,
spl18_1,
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| spl18_1 ),
inference(unit_resulting_resolution,[],[f218,f231]) ).
fof(f231,plain,
( ~ member(sK5(sK11,sK12,sK8,sK9),sK8)
| spl18_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl18_1
<=> member(sK5(sK11,sK12,sK8,sK9),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f238,plain,
( ~ spl18_1
| spl18_2
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f228,f236,f233,f230]) ).
fof(f228,plain,
( ~ member(sK4(sK11,sK12,sK8,sK9),sK12)
| apply(sK10,sK5(sK11,sK12,sK8,sK9),sK4(sK11,sK12,sK8,sK9))
| ~ member(sK5(sK11,sK12,sK8,sK9),sK8) ),
inference(resolution,[],[f226,f225]) ).
fof(f225,plain,
apply(sK11,sK4(sK11,sK12,sK8,sK9),sK5(sK11,sK12,sK8,sK9)),
inference(resolution,[],[f168,f181]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( equal_maps(X3,X0,X1,X2)
| apply(X0,sK4(X0,X1,X2,X3),sK5(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f226,plain,
! [X0,X1] :
( ~ apply(sK11,X1,X0)
| ~ member(X0,sK8)
| ~ member(X1,sK12)
| apply(sK10,X0,X1) ),
inference(resolution,[],[f152,f182]) ).
fof(f182,plain,
inverse_predicate(sK11,sK10,sK8,sK12),
inference(cnf_transformation,[],[f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET711+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:12:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.48 % (2925)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.48 % (2933)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.50 % (2908)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (2925)Refutation not found, incomplete strategy% (2925)------------------------------
% 0.20/0.50 % (2925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (2925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (2925)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (2925)Memory used [KB]: 6140
% 0.20/0.50 % (2925)Time elapsed: 0.091 s
% 0.20/0.50 % (2925)Instructions burned: 12 (million)
% 0.20/0.50 % (2925)------------------------------
% 0.20/0.50 % (2925)------------------------------
% 0.20/0.50 % (2926)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51 % (2933)Instruction limit reached!
% 0.20/0.51 % (2933)------------------------------
% 0.20/0.51 % (2933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2933)Termination reason: Unknown
% 0.20/0.51 % (2933)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (2933)Memory used [KB]: 6268
% 0.20/0.51 % (2933)Time elapsed: 0.087 s
% 0.20/0.51 % (2933)Instructions burned: 24 (million)
% 0.20/0.51 % (2933)------------------------------
% 0.20/0.51 % (2933)------------------------------
% 0.20/0.51 % (2910)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (2923)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52 % (2904)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (2907)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (2927)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (2918)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (2928)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (2908)Instruction limit reached!
% 0.20/0.52 % (2908)------------------------------
% 0.20/0.52 % (2908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2908)Termination reason: Unknown
% 0.20/0.52 % (2908)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (2908)Memory used [KB]: 6268
% 0.20/0.52 % (2908)Time elapsed: 0.115 s
% 0.20/0.52 % (2908)Instructions burned: 13 (million)
% 0.20/0.52 % (2908)------------------------------
% 0.20/0.52 % (2908)------------------------------
% 0.20/0.52 % (2918)Instruction limit reached!
% 0.20/0.52 % (2918)------------------------------
% 0.20/0.52 % (2918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2918)Termination reason: Unknown
% 0.20/0.52 % (2918)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (2918)Memory used [KB]: 1535
% 0.20/0.52 % (2918)Time elapsed: 0.003 s
% 0.20/0.52 % (2918)Instructions burned: 4 (million)
% 0.20/0.52 % (2918)------------------------------
% 0.20/0.52 % (2918)------------------------------
% 0.20/0.52 % (2907)Refutation not found, incomplete strategy% (2907)------------------------------
% 0.20/0.52 % (2907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2907)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (2907)Memory used [KB]: 6012
% 0.20/0.52 % (2907)Time elapsed: 0.127 s
% 0.20/0.52 % (2907)Instructions burned: 6 (million)
% 0.20/0.52 % (2907)------------------------------
% 0.20/0.52 % (2907)------------------------------
% 0.20/0.52 % (2932)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52 % (2905)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (2906)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (2931)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (2906)Instruction limit reached!
% 0.20/0.52 % (2906)------------------------------
% 0.20/0.52 % (2906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2906)Termination reason: Unknown
% 0.20/0.52 % (2906)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (2906)Memory used [KB]: 1535
% 0.20/0.52 % (2906)Time elapsed: 0.004 s
% 0.20/0.52 % (2906)Instructions burned: 5 (million)
% 0.20/0.52 % (2906)------------------------------
% 0.20/0.52 % (2906)------------------------------
% 0.20/0.52 % (2909)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (2930)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (2912)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (2929)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.53 % (2909)Refutation not found, incomplete strategy% (2909)------------------------------
% 0.20/0.53 % (2909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2909)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2909)Memory used [KB]: 1535
% 0.20/0.53 % (2909)Time elapsed: 0.135 s
% 0.20/0.53 % (2909)Instructions burned: 4 (million)
% 0.20/0.53 % (2909)------------------------------
% 0.20/0.53 % (2909)------------------------------
% 0.20/0.53 % (2920)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (2905)Refutation not found, incomplete strategy% (2905)------------------------------
% 0.20/0.53 % (2905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2905)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2905)Memory used [KB]: 6268
% 0.20/0.53 % (2905)Time elapsed: 0.141 s
% 0.20/0.53 % (2905)Instructions burned: 10 (million)
% 0.20/0.53 % (2905)------------------------------
% 0.20/0.53 % (2905)------------------------------
% 0.20/0.53 % (2916)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53 % (2924)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.53 % (2922)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (2919)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (2922)Instruction limit reached!
% 0.20/0.53 % (2922)------------------------------
% 0.20/0.53 % (2922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2922)Termination reason: Unknown
% 0.20/0.53 % (2922)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (2922)Memory used [KB]: 6012
% 0.20/0.53 % (2922)Time elapsed: 0.149 s
% 0.20/0.53 % (2922)Instructions burned: 3 (million)
% 0.20/0.53 % (2922)------------------------------
% 0.20/0.53 % (2922)------------------------------
% 0.20/0.53 % (2914)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53 % (2921)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (2921)Instruction limit reached!
% 0.20/0.53 % (2921)------------------------------
% 0.20/0.53 % (2921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2919)Instruction limit reached!
% 0.20/0.53 % (2919)------------------------------
% 0.20/0.53 % (2919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2919)Termination reason: Unknown
% 0.20/0.53 % (2921)Termination reason: Unknown
% 0.20/0.53 % (2919)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (2921)Termination phase: Finite model building preprocessing
% 0.20/0.53
% 0.20/0.53 % (2919)Memory used [KB]: 6140
% 0.20/0.53 % (2921)Memory used [KB]: 1535
% 0.20/0.53 % (2919)Time elapsed: 0.148 s
% 0.20/0.53 % (2921)Time elapsed: 0.003 s
% 0.20/0.53 % (2919)Instructions burned: 7 (million)
% 0.20/0.53 % (2921)Instructions burned: 4 (million)
% 0.20/0.53 % (2919)------------------------------
% 0.20/0.53 % (2919)------------------------------
% 0.20/0.53 % (2921)------------------------------
% 0.20/0.53 % (2921)------------------------------
% 0.20/0.53 % (2915)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (2914)Refutation not found, incomplete strategy% (2914)------------------------------
% 0.20/0.53 % (2914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2914)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2914)Memory used [KB]: 6012
% 0.20/0.53 % (2914)Time elapsed: 0.150 s
% 0.20/0.53 % (2914)Instructions burned: 4 (million)
% 0.20/0.53 % (2914)------------------------------
% 0.20/0.53 % (2914)------------------------------
% 0.20/0.53 % (2923)Refutation not found, incomplete strategy% (2923)------------------------------
% 0.20/0.53 % (2923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2923)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2923)Memory used [KB]: 6012
% 0.20/0.53 % (2923)Time elapsed: 0.150 s
% 0.20/0.53 % (2923)Instructions burned: 2 (million)
% 0.20/0.53 % (2923)------------------------------
% 0.20/0.53 % (2923)------------------------------
% 0.20/0.53 % (2917)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (2911)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (2913)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54 % (2915)Refutation not found, incomplete strategy% (2915)------------------------------
% 0.20/0.54 % (2915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2915)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (2915)Memory used [KB]: 6140
% 0.20/0.54 % (2915)Time elapsed: 0.151 s
% 0.20/0.54 % (2915)Instructions burned: 6 (million)
% 0.20/0.54 % (2915)------------------------------
% 0.20/0.54 % (2915)------------------------------
% 0.20/0.54 % (2931)First to succeed.
% 0.20/0.54 % (2932)Instruction limit reached!
% 0.20/0.54 % (2932)------------------------------
% 0.20/0.54 % (2932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2932)Termination reason: Unknown
% 0.20/0.54 % (2932)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (2932)Memory used [KB]: 6140
% 0.20/0.54 % (2932)Time elapsed: 0.139 s
% 0.20/0.54 % (2932)Instructions burned: 9 (million)
% 0.20/0.54 % (2932)------------------------------
% 0.20/0.54 % (2932)------------------------------
% 0.20/0.54 % (2916)Instruction limit reached!
% 0.20/0.54 % (2916)------------------------------
% 0.20/0.54 % (2916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2916)Termination reason: Unknown
% 0.20/0.54 % (2916)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (2916)Memory used [KB]: 1918
% 0.20/0.54 % (2916)Time elapsed: 0.150 s
% 0.20/0.54 % (2916)Instructions burned: 17 (million)
% 0.20/0.54 % (2916)------------------------------
% 0.20/0.54 % (2916)------------------------------
% 0.20/0.55 % (2917)Also succeeded, but the first one will report.
% 0.20/0.55 % (2931)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (2931)------------------------------
% 0.20/0.55 % (2931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (2931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (2931)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (2931)Memory used [KB]: 6140
% 0.20/0.55 % (2931)Time elapsed: 0.144 s
% 0.20/0.55 % (2931)Instructions burned: 8 (million)
% 0.20/0.55 % (2931)------------------------------
% 0.20/0.55 % (2931)------------------------------
% 0.20/0.55 % (2903)Success in time 0.203 s
%------------------------------------------------------------------------------