TSTP Solution File: SWC409+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC409+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n020.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 18:41:01 EDT 2022
% Result : Theorem 1.50s 0.62s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 134 ( 14 unt; 0 def)
% Number of atoms : 716 ( 164 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 941 ( 359 ~; 387 |; 146 &)
% ( 12 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 194 ( 138 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f884,plain,
$false,
inference(avatar_sat_refutation,[],[f220,f307,f308,f321,f330,f352,f366,f533,f883]) ).
fof(f883,plain,
( spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f882,plain,
( $false
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f881,f161]) ).
fof(f161,plain,
ssItem(sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ssList(sK5)
& ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK7
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = sK6 )
| ~ ssItem(X4) )
& sK5 = sK7
& sK4 = sK6
& ssList(sK7)
& ( nil != sK7
| nil = sK6 )
& ssItem(sK8)
& memberP(sK5,sK8)
& ~ memberP(sK4,sK8)
& ssList(sK6)
& ssList(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f131,f136,f135,f134,f133,f132]) ).
fof(f132,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2 )
| ~ ssItem(X4) )
& X1 = X3
& X0 = X2
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ssItem(X6)
& memberP(X1,X6)
& ~ memberP(X0,X6) ) )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2 )
| ~ ssItem(X4) )
& X1 = X3
& sK4 = X2
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ssItem(X6)
& memberP(X1,X6)
& ~ memberP(sK4,X6) ) )
& ssList(X2) ) )
& ssList(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2 )
| ~ ssItem(X4) )
& X1 = X3
& sK4 = X2
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ssItem(X6)
& memberP(X1,X6)
& ~ memberP(sK4,X6) ) )
& ssList(X2) ) )
=> ( ssList(sK5)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2 )
| ~ ssItem(X4) )
& sK5 = X3
& sK4 = X2
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ssItem(X6)
& memberP(sK5,X6)
& ~ memberP(sK4,X6) ) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2 )
| ~ ssItem(X4) )
& sK5 = X3
& sK4 = X2
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ssItem(X6)
& memberP(sK5,X6)
& ~ memberP(sK4,X6) ) )
& ssList(X2) )
=> ( ? [X3] :
( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = sK6 )
| ~ ssItem(X4) )
& sK5 = X3
& sK4 = sK6
& ssList(X3)
& ( nil != X3
| nil = sK6 )
& ? [X6] :
( ssItem(X6)
& memberP(sK5,X6)
& ~ memberP(sK4,X6) ) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X3] :
( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = sK6 )
| ~ ssItem(X4) )
& sK5 = X3
& sK4 = sK6
& ssList(X3)
& ( nil != X3
| nil = sK6 )
& ? [X6] :
( ssItem(X6)
& memberP(sK5,X6)
& ~ memberP(sK4,X6) ) )
=> ( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != sK7
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = sK6 )
| ~ ssItem(X4) )
& sK5 = sK7
& sK4 = sK6
& ssList(sK7)
& ( nil != sK7
| nil = sK6 )
& ? [X6] :
( ssItem(X6)
& memberP(sK5,X6)
& ~ memberP(sK4,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X6] :
( ssItem(X6)
& memberP(sK5,X6)
& ~ memberP(sK4,X6) )
=> ( ssItem(sK8)
& memberP(sK5,sK8)
& ~ memberP(sK4,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( app(cons(X4,nil),X5) != X3
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2 )
| ~ ssItem(X4) )
& X1 = X3
& X0 = X2
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ssItem(X6)
& memberP(X1,X6)
& ~ memberP(X0,X6) ) )
& ssList(X2) ) )
& ssList(X0) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X3
| ~ ssList(X6)
| app(X6,cons(X5,nil)) = X2 )
| ~ ssItem(X5) )
& X1 = X3
& X0 = X2
& ssList(X3)
& ( nil != X3
| nil = X2 )
& ? [X4] :
( ssItem(X4)
& memberP(X1,X4)
& ~ memberP(X0,X4) ) )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ( nil != X3
| nil = X2 )
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X3
| ~ ssList(X6)
| app(X6,cons(X5,nil)) = X2 )
| ~ ssItem(X5) )
& X1 = X3
& ? [X4] :
( memberP(X1,X4)
& ~ memberP(X0,X4)
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( nil != X2
& nil = X3 )
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(X6,cons(X5,nil)) != X2
& app(cons(X5,nil),X6) = X3 ) )
| X1 != X3
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X1,X4)
| memberP(X0,X4) ) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil != X2
& nil = X3 )
| X0 != X2
| ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X1,X6)
| memberP(X0,X6) ) )
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) != X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) ) )
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil != X2
& nil = X3 )
| X0 != X2
| ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X1,X6)
| memberP(X0,X6) ) )
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( app(X5,cons(X4,nil)) != X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) ) )
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f881,plain,
( ~ ssItem(sK8)
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f879,f194]) ).
fof(f194,plain,
~ memberP(sK6,sK8),
inference(definition_unfolding,[],[f159,f164]) ).
fof(f164,plain,
sK4 = sK6,
inference(cnf_transformation,[],[f137]) ).
fof(f159,plain,
~ memberP(sK4,sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f879,plain,
( memberP(sK6,sK8)
| ~ ssItem(sK8)
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(resolution,[],[f876,f193]) ).
fof(f193,plain,
memberP(sK7,sK8),
inference(definition_unfolding,[],[f160,f165]) ).
fof(f165,plain,
sK5 = sK7,
inference(cnf_transformation,[],[f137]) ).
fof(f160,plain,
memberP(sK5,sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f876,plain,
( ! [X6] :
( ~ memberP(sK7,X6)
| memberP(sK6,X6)
| ~ ssItem(X6) )
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(duplicate_literal_removal,[],[f859]) ).
fof(f859,plain,
( ! [X6] :
( ~ memberP(sK7,X6)
| memberP(sK6,X6)
| ~ ssItem(X6)
| memberP(sK6,X6) )
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f351,f852]) ).
fof(f852,plain,
( ! [X0] :
( sK1(sK7) = X0
| ~ memberP(sK7,X0)
| memberP(sK6,X0)
| ~ ssItem(X0) )
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f851,f346]) ).
fof(f346,plain,
( ssItem(sK1(sK7))
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl11_11
<=> ssItem(sK1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f851,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK6,X0)
| ~ memberP(sK7,X0)
| sK1(sK7) = X0
| ~ ssItem(sK1(sK7)) )
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f850,f158]) ).
fof(f158,plain,
ssList(sK6),
inference(cnf_transformation,[],[f137]) ).
fof(f850,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssList(sK6)
| ~ memberP(sK7,X0)
| ~ ssItem(sK1(sK7))
| memberP(sK6,X0)
| sK1(sK7) = X0 )
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(duplicate_literal_removal,[],[f849]) ).
fof(f849,plain,
( ! [X0] :
( sK1(sK7) = X0
| memberP(sK6,X0)
| ~ ssItem(sK1(sK7))
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssItem(X0) )
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(resolution,[],[f786,f179]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 = X1
| memberP(X2,X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ( ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) )
& ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) ) )
| ~ ssList(X2) ) )
| ~ ssItem(X0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ( ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) )
& ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) ) )
| ~ ssList(X2) ) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ( ( memberP(X2,X0)
| X0 = X1 )
<=> memberP(cons(X1,X2),X0) )
| ~ ssList(X2) ) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( memberP(X2,X0)
| X0 = X1 )
<=> memberP(cons(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f786,plain,
( ! [X7] :
( memberP(cons(sK1(sK7),sK6),X7)
| ~ ssItem(X7)
| ~ memberP(sK7,X7) )
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f785,f163]) ).
fof(f163,plain,
ssList(sK7),
inference(cnf_transformation,[],[f137]) ).
fof(f785,plain,
( ! [X7] :
( ~ ssItem(X7)
| ~ ssList(sK7)
| ~ memberP(sK7,X7)
| memberP(cons(sK1(sK7),sK6),X7) )
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f782,f265]) ).
fof(f265,plain,
( ssList(cons(sK1(sK7),nil))
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl11_5
<=> ssList(cons(sK1(sK7),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f782,plain,
( ! [X7] :
( ~ ssItem(X7)
| ~ ssList(cons(sK1(sK7),nil))
| ~ memberP(sK7,X7)
| memberP(cons(sK1(sK7),sK6),X7)
| ~ ssList(sK7) )
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(superposition,[],[f191,f693]) ).
fof(f693,plain,
( cons(sK1(sK7),sK6) = app(sK7,cons(sK1(sK7),nil))
| spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f692,f205]) ).
fof(f205,plain,
( nil != sK7
| spl11_1 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl11_1
<=> nil = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f692,plain,
( cons(sK1(sK7),sK6) = app(sK7,cons(sK1(sK7),nil))
| nil = sK7
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f691,f163]) ).
fof(f691,plain,
( cons(sK1(sK7),sK6) = app(sK7,cons(sK1(sK7),nil))
| ~ ssList(sK7)
| nil = sK7
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f665,f346]) ).
fof(f665,plain,
( ~ ssItem(sK1(sK7))
| nil = sK7
| cons(sK1(sK7),sK6) = app(sK7,cons(sK1(sK7),nil))
| ~ ssList(sK7)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(superposition,[],[f657,f148]) ).
fof(f148,plain,
! [X0] :
( cons(sK1(X0),sK0(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ( ssList(sK0(X0))
& cons(sK1(X0),sK0(X0)) = X0
& ssItem(sK1(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f118,f124,f123]) ).
fof(f123,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
=> ( ssList(sK0(X0))
& ? [X2] :
( cons(X2,sK0(X0)) = X0
& ssItem(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK0(X0)) = X0
& ssItem(X2) )
=> ( cons(sK1(X0),sK0(X0)) = X0
& ssItem(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) ) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f657,plain,
( ! [X8] :
( app(cons(X8,sK0(sK7)),cons(sK1(sK7),nil)) = cons(X8,sK6)
| ~ ssItem(X8) )
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f656,f273]) ).
fof(f273,plain,
( ssList(sK0(sK7))
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl11_7
<=> ssList(sK0(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f656,plain,
( ! [X8] :
( ~ ssList(sK0(sK7))
| ~ ssItem(X8)
| app(cons(X8,sK0(sK7)),cons(sK1(sK7),nil)) = cons(X8,sK6) )
| ~ spl11_5
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f636,f265]) ).
fof(f636,plain,
( ! [X8] :
( app(cons(X8,sK0(sK7)),cons(sK1(sK7),nil)) = cons(X8,sK6)
| ~ ssItem(X8)
| ~ ssList(cons(sK1(sK7),nil))
| ~ ssList(sK0(sK7)) )
| ~ spl11_10 ),
inference(superposition,[],[f182,f306]) ).
fof(f306,plain,
( sK6 = app(sK0(sK7),cons(sK1(sK7),nil))
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl11_10
<=> sK6 = app(sK0(sK7),cons(sK1(sK7),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f182,plain,
! [X2,X0,X1] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f191,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f351,plain,
( memberP(sK6,sK1(sK7))
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl11_12
<=> memberP(sK6,sK1(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f533,plain,
( spl11_9
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f532,f304,f272,f264,f294]) ).
fof(f294,plain,
( spl11_9
<=> ! [X8] :
( ~ ssItem(X8)
| memberP(sK6,X8)
| ~ memberP(cons(sK1(sK7),nil),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f532,plain,
( ! [X2] :
( memberP(sK6,X2)
| ~ memberP(cons(sK1(sK7),nil),X2)
| ~ ssItem(X2) )
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f531,f265]) ).
fof(f531,plain,
( ! [X2] :
( ~ memberP(cons(sK1(sK7),nil),X2)
| memberP(sK6,X2)
| ~ ssItem(X2)
| ~ ssList(cons(sK1(sK7),nil)) )
| ~ spl11_7
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f529,f273]) ).
fof(f529,plain,
( ! [X2] :
( ~ ssList(sK0(sK7))
| ~ ssList(cons(sK1(sK7),nil))
| ~ memberP(cons(sK1(sK7),nil),X2)
| ~ ssItem(X2)
| memberP(sK6,X2) )
| ~ spl11_10 ),
inference(superposition,[],[f190,f306]) ).
fof(f190,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f366,plain,
( spl11_1
| spl11_11 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| spl11_1
| spl11_11 ),
inference(subsumption_resolution,[],[f364,f163]) ).
fof(f364,plain,
( ~ ssList(sK7)
| spl11_1
| spl11_11 ),
inference(subsumption_resolution,[],[f363,f205]) ).
fof(f363,plain,
( nil = sK7
| ~ ssList(sK7)
| spl11_11 ),
inference(resolution,[],[f347,f147]) ).
fof(f147,plain,
! [X0] :
( ssItem(sK1(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f347,plain,
( ~ ssItem(sK1(sK7))
| spl11_11 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f352,plain,
( ~ spl11_11
| spl11_12
| ~ spl11_4
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f343,f294,f216,f349,f345]) ).
fof(f216,plain,
( spl11_4
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f343,plain,
( memberP(sK6,sK1(sK7))
| ~ ssItem(sK1(sK7))
| ~ spl11_4
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f341,f217]) ).
fof(f217,plain,
( ssList(nil)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f341,plain,
( ~ ssList(nil)
| memberP(sK6,sK1(sK7))
| ~ ssItem(sK1(sK7))
| ~ spl11_9 ),
inference(duplicate_literal_removal,[],[f338]) ).
fof(f338,plain,
( memberP(sK6,sK1(sK7))
| ~ ssItem(sK1(sK7))
| ~ ssList(nil)
| ~ ssItem(sK1(sK7))
| ~ spl11_9 ),
inference(resolution,[],[f295,f200]) ).
fof(f200,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f199]) ).
fof(f199,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f177]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f295,plain,
( ! [X8] :
( ~ memberP(cons(sK1(sK7),nil),X8)
| memberP(sK6,X8)
| ~ ssItem(X8) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f330,plain,
( spl11_1
| spl11_7 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| spl11_1
| spl11_7 ),
inference(subsumption_resolution,[],[f328,f163]) ).
fof(f328,plain,
( ~ ssList(sK7)
| spl11_1
| spl11_7 ),
inference(subsumption_resolution,[],[f327,f205]) ).
fof(f327,plain,
( nil = sK7
| ~ ssList(sK7)
| spl11_7 ),
inference(resolution,[],[f274,f149]) ).
fof(f149,plain,
! [X0] :
( ssList(sK0(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f274,plain,
( ~ ssList(sK0(sK7))
| spl11_7 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f321,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| ~ spl11_1 ),
inference(subsumption_resolution,[],[f319,f161]) ).
fof(f319,plain,
( ~ ssItem(sK8)
| ~ spl11_1 ),
inference(resolution,[],[f311,f181]) ).
fof(f181,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f311,plain,
( memberP(nil,sK8)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f193,f204]) ).
fof(f204,plain,
( nil = sK7
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f308,plain,
( spl11_1
| ~ spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f300,f264,f216,f203]) ).
fof(f300,plain,
( nil = sK7
| ~ spl11_4
| spl11_5 ),
inference(subsumption_resolution,[],[f299,f163]) ).
fof(f299,plain,
( ~ ssList(sK7)
| nil = sK7
| ~ spl11_4
| spl11_5 ),
inference(resolution,[],[f298,f147]) ).
fof(f298,plain,
( ~ ssItem(sK1(sK7))
| ~ spl11_4
| spl11_5 ),
inference(subsumption_resolution,[],[f297,f217]) ).
fof(f297,plain,
( ~ ssList(nil)
| ~ ssItem(sK1(sK7))
| spl11_5 ),
inference(resolution,[],[f266,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f266,plain,
( ~ ssList(cons(sK1(sK7),nil))
| spl11_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f307,plain,
( spl11_10
| spl11_1 ),
inference(avatar_split_clause,[],[f258,f203,f304]) ).
fof(f258,plain,
( nil = sK7
| sK6 = app(sK0(sK7),cons(sK1(sK7),nil)) ),
inference(subsumption_resolution,[],[f257,f163]) ).
fof(f257,plain,
( ~ ssList(sK7)
| sK6 = app(sK0(sK7),cons(sK1(sK7),nil))
| nil = sK7 ),
inference(equality_resolution,[],[f256]) ).
fof(f256,plain,
! [X0] :
( sK7 != X0
| sK6 = app(sK0(X0),cons(sK1(X0),nil))
| ~ ssList(X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f255,f149]) ).
fof(f255,plain,
! [X0] :
( nil = X0
| ~ ssList(sK0(X0))
| sK6 = app(sK0(X0),cons(sK1(X0),nil))
| ~ ssList(X0)
| sK7 != X0 ),
inference(subsumption_resolution,[],[f254,f147]) ).
fof(f254,plain,
! [X0] :
( ~ ssItem(sK1(X0))
| sK7 != X0
| nil = X0
| ~ ssList(X0)
| sK6 = app(sK0(X0),cons(sK1(X0),nil))
| ~ ssList(sK0(X0)) ),
inference(superposition,[],[f252,f148]) ).
fof(f252,plain,
! [X0,X1] :
( cons(X0,X1) != sK7
| ~ ssItem(X0)
| ~ ssList(X1)
| app(X1,cons(X0,nil)) = sK6 ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| app(X1,cons(X0,nil)) = sK6
| cons(X0,X1) != sK7
| ~ ssList(X1) ),
inference(superposition,[],[f166,f176]) ).
fof(f176,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f166,plain,
! [X4,X5] :
( app(cons(X4,nil),X5) != sK7
| ~ ssItem(X4)
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = sK6 ),
inference(cnf_transformation,[],[f137]) ).
fof(f220,plain,
spl11_4,
inference(avatar_split_clause,[],[f156,f216]) ).
fof(f156,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC409+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 18:56:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (32274)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)
% 0.20/0.50 % (32282)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)
% 0.20/0.51 % (32282)Refutation not found, incomplete strategy% (32282)------------------------------
% 0.20/0.51 % (32282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (32290)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)
% 0.20/0.51 % (32282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (32282)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (32282)Memory used [KB]: 6140
% 0.20/0.51 % (32282)Time elapsed: 0.103 s
% 0.20/0.51 % (32282)Instructions burned: 4 (million)
% 0.20/0.51 % (32282)------------------------------
% 0.20/0.51 % (32282)------------------------------
% 0.20/0.52 % (32274)Instruction limit reached!
% 0.20/0.52 % (32274)------------------------------
% 0.20/0.52 % (32274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32274)Termination reason: Unknown
% 0.20/0.52 % (32274)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (32274)Memory used [KB]: 6140
% 0.20/0.52 % (32274)Time elapsed: 0.114 s
% 0.20/0.52 % (32274)Instructions burned: 8 (million)
% 0.20/0.52 % (32274)------------------------------
% 0.20/0.52 % (32274)------------------------------
% 1.34/0.54 % (32267)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.34/0.54 % (32263)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.34/0.54 % (32270)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.34/0.54 % (32268)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.34/0.54 % (32271)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.34/0.54 % (32269)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.34/0.54 % (32284)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)
% 1.34/0.55 % (32285)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.50/0.55 % (32272)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)
% 1.50/0.55 % (32276)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)
% 1.50/0.55 % (32265)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.50/0.55 % (32265)Instruction limit reached!
% 1.50/0.55 % (32265)------------------------------
% 1.50/0.55 % (32265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (32265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (32265)Termination reason: Unknown
% 1.50/0.55 % (32265)Termination phase: Preprocessing 2
% 1.50/0.55
% 1.50/0.55 % (32265)Memory used [KB]: 1535
% 1.50/0.55 % (32265)Time elapsed: 0.003 s
% 1.50/0.55 % (32265)Instructions burned: 3 (million)
% 1.50/0.55 % (32265)------------------------------
% 1.50/0.55 % (32265)------------------------------
% 1.50/0.55 % (32279)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)
% 1.50/0.55 % (32266)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.55 % (32277)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.50/0.55 % (32292)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)
% 1.50/0.56 % (32288)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)
% 1.50/0.56 % (32278)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.56 % (32291)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.50/0.56 % (32267)Instruction limit reached!
% 1.50/0.56 % (32267)------------------------------
% 1.50/0.56 % (32267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (32267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (32267)Termination reason: Unknown
% 1.50/0.56 % (32267)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (32267)Memory used [KB]: 6268
% 1.50/0.56 % (32267)Time elapsed: 0.136 s
% 1.50/0.56 % (32267)Instructions burned: 13 (million)
% 1.50/0.56 % (32267)------------------------------
% 1.50/0.56 % (32267)------------------------------
% 1.50/0.56 % (32280)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.50/0.56 % (32264)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)
% 1.50/0.56 % (32289)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)
% 1.50/0.56 % (32280)Instruction limit reached!
% 1.50/0.56 % (32280)------------------------------
% 1.50/0.56 % (32280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (32290)Instruction limit reached!
% 1.50/0.56 % (32290)------------------------------
% 1.50/0.56 % (32290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (32290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (32290)Termination reason: Unknown
% 1.50/0.56 % (32290)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (32290)Memory used [KB]: 6652
% 1.50/0.56 % (32290)Time elapsed: 0.143 s
% 1.50/0.56 % (32290)Instructions burned: 25 (million)
% 1.50/0.56 % (32291)Instruction limit reached!
% 1.50/0.56 % (32291)------------------------------
% 1.50/0.56 % (32291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (32291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (32291)Termination reason: Unknown
% 1.50/0.56 % (32291)Termination phase: Property scanning
% 1.50/0.56
% 1.50/0.56 % (32291)Memory used [KB]: 1791
% 1.50/0.56 % (32291)Time elapsed: 0.004 s
% 1.50/0.56 % (32291)Instructions burned: 8 (million)
% 1.50/0.56 % (32291)------------------------------
% 1.50/0.56 % (32291)------------------------------
% 1.50/0.56 % (32290)------------------------------
% 1.50/0.56 % (32290)------------------------------
% 1.50/0.56 % (32287)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)
% 1.50/0.56 % (32277)Instruction limit reached!
% 1.50/0.56 % (32277)------------------------------
% 1.50/0.56 % (32277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (32277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (32277)Termination reason: Unknown
% 1.50/0.56 % (32277)Termination phase: Preprocessing 3
% 1.50/0.56
% 1.50/0.56 % (32277)Memory used [KB]: 1535
% 1.50/0.56 % (32277)Time elapsed: 0.004 s
% 1.50/0.56 % (32277)Instructions burned: 3 (million)
% 1.50/0.56 % (32277)------------------------------
% 1.50/0.56 % (32277)------------------------------
% 1.50/0.57 % (32268)Instruction limit reached!
% 1.50/0.57 % (32268)------------------------------
% 1.50/0.57 % (32268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (32268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (32268)Termination reason: Unknown
% 1.50/0.57 % (32268)Termination phase: Saturation
% 1.50/0.57
% 1.50/0.57 % (32268)Memory used [KB]: 1663
% 1.50/0.57 % (32268)Time elapsed: 0.154 s
% 1.50/0.57 % (32268)Instructions burned: 15 (million)
% 1.50/0.57 % (32268)------------------------------
% 1.50/0.57 % (32268)------------------------------
% 1.50/0.57 % (32283)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)
% 1.50/0.57 % (32281)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)
% 1.50/0.57 % (32281)Instruction limit reached!
% 1.50/0.57 % (32281)------------------------------
% 1.50/0.57 % (32281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (32281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (32281)Termination reason: Unknown
% 1.50/0.57 % (32281)Termination phase: Property scanning
% 1.50/0.57
% 1.50/0.57 % (32281)Memory used [KB]: 1535
% 1.50/0.57 % (32281)Time elapsed: 0.003 s
% 1.50/0.57 % (32281)Instructions burned: 3 (million)
% 1.50/0.57 % (32281)------------------------------
% 1.50/0.57 % (32281)------------------------------
% 1.50/0.57 % (32264)Instruction limit reached!
% 1.50/0.57 % (32264)------------------------------
% 1.50/0.57 % (32264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (32264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (32264)Termination reason: Unknown
% 1.50/0.57 % (32264)Termination phase: Saturation
% 1.50/0.57
% 1.50/0.57 % (32264)Memory used [KB]: 6396
% 1.50/0.57 % (32264)Time elapsed: 0.158 s
% 1.50/0.57 % (32264)Instructions burned: 13 (million)
% 1.50/0.57 % (32264)------------------------------
% 1.50/0.57 % (32264)------------------------------
% 1.50/0.57 % (32286)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.50/0.57 % (32273)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)
% 1.50/0.57 % (32280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (32280)Termination reason: Unknown
% 1.50/0.57 % (32280)Termination phase: Naming
% 1.50/0.57
% 1.50/0.57 % (32280)Memory used [KB]: 1535
% 1.50/0.57 % (32280)Time elapsed: 0.005 s
% 1.50/0.57 % (32280)Instructions burned: 3 (million)
% 1.50/0.57 % (32280)------------------------------
% 1.50/0.57 % (32280)------------------------------
% 1.50/0.57 % (32275)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.50/0.58 % (32273)Refutation not found, incomplete strategy% (32273)------------------------------
% 1.50/0.58 % (32273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (32273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (32273)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.58
% 1.50/0.58 % (32273)Memory used [KB]: 6140
% 1.50/0.58 % (32273)Time elapsed: 0.160 s
% 1.50/0.58 % (32273)Instructions burned: 6 (million)
% 1.50/0.58 % (32273)------------------------------
% 1.50/0.58 % (32273)------------------------------
% 1.50/0.58 % (32278)Instruction limit reached!
% 1.50/0.58 % (32278)------------------------------
% 1.50/0.58 % (32278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (32278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (32278)Termination reason: Unknown
% 1.50/0.58 % (32278)Termination phase: Property scanning
% 1.50/0.58
% 1.50/0.58 % (32278)Memory used [KB]: 1791
% 1.50/0.58 % (32278)Time elapsed: 0.005 s
% 1.50/0.58 % (32278)Instructions burned: 7 (million)
% 1.50/0.58 % (32278)------------------------------
% 1.50/0.58 % (32278)------------------------------
% 1.50/0.58 % (32292)Instruction limit reached!
% 1.50/0.58 % (32292)------------------------------
% 1.50/0.58 % (32292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (32292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (32292)Termination reason: Unknown
% 1.50/0.58 % (32292)Termination phase: Saturation
% 1.50/0.58
% 1.50/0.58 % (32292)Memory used [KB]: 6524
% 1.50/0.58 % (32292)Time elapsed: 0.164 s
% 1.50/0.58 % (32292)Instructions burned: 25 (million)
% 1.50/0.58 % (32292)------------------------------
% 1.50/0.58 % (32292)------------------------------
% 1.50/0.59 % (32275)Instruction limit reached!
% 1.50/0.59 % (32275)------------------------------
% 1.50/0.59 % (32275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (32275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (32275)Termination reason: Unknown
% 1.50/0.59 % (32275)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (32275)Memory used [KB]: 2046
% 1.50/0.59 % (32275)Time elapsed: 0.173 s
% 1.50/0.59 % (32275)Instructions burned: 17 (million)
% 1.50/0.59 % (32275)------------------------------
% 1.50/0.59 % (32275)------------------------------
% 1.50/0.59 % (32269)First to succeed.
% 1.50/0.60 % (32283)Instruction limit reached!
% 1.50/0.60 % (32283)------------------------------
% 1.50/0.60 % (32283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.60 % (32283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.60 % (32283)Termination reason: Unknown
% 1.50/0.60 % (32283)Termination phase: Saturation
% 1.50/0.60
% 1.50/0.60 % (32283)Memory used [KB]: 6524
% 1.50/0.60 % (32283)Time elapsed: 0.173 s
% 1.50/0.60 % (32283)Instructions burned: 30 (million)
% 1.50/0.60 % (32283)------------------------------
% 1.50/0.60 % (32283)------------------------------
% 1.50/0.61 % (32270)Instruction limit reached!
% 1.50/0.61 % (32270)------------------------------
% 1.50/0.61 % (32270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61 % (32270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (32270)Termination reason: Unknown
% 1.50/0.61 % (32270)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (32270)Memory used [KB]: 6652
% 1.50/0.61 % (32270)Time elapsed: 0.191 s
% 1.50/0.61 % (32270)Instructions burned: 41 (million)
% 1.50/0.61 % (32270)------------------------------
% 1.50/0.61 % (32270)------------------------------
% 1.50/0.62 % (32269)Refutation found. Thanks to Tanya!
% 1.50/0.62 % SZS status Theorem for theBenchmark
% 1.50/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.62 % (32269)------------------------------
% 1.50/0.62 % (32269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.62 % (32269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.62 % (32269)Termination reason: Refutation
% 1.50/0.62
% 1.50/0.62 % (32269)Memory used [KB]: 6396
% 1.50/0.62 % (32269)Time elapsed: 0.137 s
% 1.50/0.62 % (32269)Instructions burned: 28 (million)
% 1.50/0.62 % (32269)------------------------------
% 1.50/0.62 % (32269)------------------------------
% 1.50/0.62 % (32262)Success in time 0.256 s
%------------------------------------------------------------------------------