TSTP Solution File: SWC246+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC246+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 : n007.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 18:39:51 EDT 2022
% Result : Theorem 1.66s 0.57s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 86 ( 9 unt; 0 def)
% Number of atoms : 745 ( 220 equ)
% Maximal formula atoms : 64 ( 8 avg)
% Number of connectives : 1061 ( 402 ~; 380 |; 247 &)
% ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 288 ( 199 !; 89 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f462,plain,
$false,
inference(avatar_sat_refutation,[],[f282,f283,f448,f454,f461]) ).
fof(f461,plain,
( ~ spl17_2
| spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| ~ spl17_2
| spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f459,f443]) ).
fof(f443,plain,
( ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl17_7
<=> ssItem(sK6(sK10(sK2),nil,sK9(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f459,plain,
( ~ ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
| ~ spl17_2
| spl17_3
| ~ spl17_8 ),
inference(resolution,[],[f458,f203]) ).
fof(f203,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,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(f458,plain,
( memberP(nil,sK6(sK10(sK2),nil,sK9(sK2)))
| ~ spl17_2
| spl17_3
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f457,f446]) ).
fof(f446,plain,
( ssList(cons(sK10(sK2),nil))
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl17_8
<=> ssList(cons(sK10(sK2),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f457,plain,
( memberP(nil,sK6(sK10(sK2),nil,sK9(sK2)))
| ~ ssList(cons(sK10(sK2),nil))
| ~ spl17_2
| spl17_3 ),
inference(subsumption_resolution,[],[f456,f276]) ).
fof(f276,plain,
( nil != sK2
| spl17_3 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl17_3
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f456,plain,
( nil = sK2
| ~ ssList(cons(sK10(sK2),nil))
| memberP(nil,sK6(sK10(sK2),nil,sK9(sK2)))
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f455,f192]) ).
fof(f192,plain,
ssList(sK2),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ssList(sK1)
& ssList(sK2)
& nil != sK0
& ssList(sK3)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != sK5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(sK4,sK2),sK5) = sK3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != sK2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != sK4 )
| ~ ssItem(X9) )
& ssList(sK5)
& equalelemsP(sK2)
& ssList(sK4)
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ( memberP(X14,sK6(X12,X13,X14))
& ~ leq(X12,sK6(X12,X13,X14))
& memberP(X13,sK6(X12,X13,X14))
& ssItem(sK6(X12,X13,X14))
& lt(X12,sK6(X12,X13,X14)) )
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14) ) )
| ~ ssItem(X12) )
& ( nil = sK3
| nil != sK2 )
& sK1 = sK3
& sK0 = sK2
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f126,f146,f145,f144,f143,f142,f141,f140]) ).
fof(f140,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != X0
& ssList(X3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(X2) )
& ssList(X4) )
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
| ~ ssList(X14)
| app(app(X13,cons(X12,nil)),X14) != X0 ) )
| ~ ssItem(X12) )
& ( nil = X3
| nil != X2 )
& X1 = X3
& X0 = X2 ) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != sK0
& ssList(X3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(X2) )
& ssList(X4) )
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14) ) )
| ~ ssItem(X12) )
& ( nil = X3
| nil != X2 )
& X1 = X3
& sK0 = X2 ) ) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != sK0
& ssList(X3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(X2) )
& ssList(X4) )
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14) ) )
| ~ ssItem(X12) )
& ( nil = X3
| nil != X2 )
& X1 = X3
& sK0 = X2 ) ) )
=> ( ssList(sK1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != sK0
& ssList(X3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(X2) )
& ssList(X4) )
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14) ) )
| ~ ssItem(X12) )
& ( nil = X3
| nil != X2 )
& sK1 = X3
& sK0 = X2 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != sK0
& ssList(X3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(X2) )
& ssList(X4) )
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14) ) )
| ~ ssItem(X12) )
& ( nil = X3
| nil != X2 )
& sK1 = X3
& sK0 = X2 ) )
=> ( ssList(sK2)
& ? [X3] :
( nil != sK0
& ssList(X3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(X4,sK2),X5) = X3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != sK2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(sK2) )
& ssList(X4) )
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14) ) )
| ~ ssItem(X12) )
& ( nil = X3
| nil != sK2 )
& sK1 = X3
& sK0 = sK2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ? [X3] :
( nil != sK0
& ssList(X3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(X4,sK2),X5) = X3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != sK2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(sK2) )
& ssList(X4) )
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14) ) )
| ~ ssItem(X12) )
& ( nil = X3
| nil != sK2 )
& sK1 = X3
& sK0 = sK2 )
=> ( nil != sK0
& ssList(sK3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& sK3 = app(app(X4,sK2),X5)
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != sK2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(sK2) )
& ssList(X4) )
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14) ) )
| ~ ssItem(X12) )
& ( nil = sK3
| nil != sK2 )
& sK1 = sK3
& sK0 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& sK3 = app(app(X4,sK2),X5)
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != sK2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(sK2) )
& ssList(X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(sK4,sK2),X5) = sK3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != sK2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != sK4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(sK2) )
& ssList(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(sK4,sK2),X5) = sK3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != sK2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != sK4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(sK2) )
=> ( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != sK5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != sK2 ) ) )
& app(app(sK4,sK2),sK5) = sK3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != sK2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != sK4 )
| ~ ssItem(X9) )
& ssList(sK5)
& equalelemsP(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X12,X13,X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
=> ( memberP(X14,sK6(X12,X13,X14))
& ~ leq(X12,sK6(X12,X13,X14))
& memberP(X13,sK6(X12,X13,X14))
& ssItem(sK6(X12,X13,X14))
& lt(X12,sK6(X12,X13,X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( nil != X0
& ssList(X3)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(cons(X9,nil),X11) != X2 )
| ~ ssList(X10)
| app(X10,cons(X9,nil)) != X4 )
| ~ ssItem(X9) )
& ssList(X5)
& equalelemsP(X2) )
& ssList(X4) )
& ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ! [X14] :
( ? [X15] :
( memberP(X14,X15)
& ~ leq(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& lt(X12,X15) )
| ~ ssList(X14)
| app(app(X13,cons(X12,nil)),X14) != X0 ) )
| ~ ssItem(X12) )
& ( nil = X3
| nil != X2 )
& X1 = X3
& X0 = X2 ) ) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( nil = X0
| ~ ssList(X3)
| X1 != X3
| ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& ? [X14] :
( ssList(X14)
& app(app(X13,cons(X12,nil)),X14) = X0
& ! [X15] :
( ~ lt(X12,X15)
| ~ memberP(X13,X15)
| ~ ssItem(X15)
| ~ memberP(X14,X15)
| leq(X12,X15) ) ) ) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ? [X6] :
( ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssList(X8)
& app(X8,cons(X6,nil)) = X2 ) )
& ssItem(X6) )
| ? [X9] :
( ? [X10] :
( ssList(X10)
& app(X10,cons(X9,nil)) = X4
& ? [X11] :
( ssList(X11)
& app(cons(X9,nil),X11) = X2 ) )
& ssItem(X9) )
| ~ ssList(X5)
| app(app(X4,X2),X5) != X3
| ~ equalelemsP(X2) ) )
| ( nil = X2
& nil != X3 )
| X0 != X2 ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| X1 != X3
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(cons(X13,nil),X14) = X9
& ? [X15] :
( ssList(X15)
& app(X15,cons(X13,nil)) = X2 ) ) )
| ? [X10] :
( ? [X11] :
( app(X11,cons(X10,nil)) = X8
& ssList(X11)
& ? [X12] :
( app(cons(X10,nil),X12) = X2
& ssList(X12) ) )
& ssItem(X10) )
| app(app(X8,X2),X9) != X3
| ~ ssList(X9)
| ~ equalelemsP(X2) ) )
| ~ ssList(X3)
| X0 != X2
| nil = X0
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| ~ ssItem(X7)
| ~ lt(X4,X7) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| X1 != X3
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(cons(X13,nil),X14) = X9
& ? [X15] :
( ssList(X15)
& app(X15,cons(X13,nil)) = X2 ) ) )
| ? [X10] :
( ? [X11] :
( app(X11,cons(X10,nil)) = X8
& ssList(X11)
& ? [X12] :
( app(cons(X10,nil),X12) = X2
& ssList(X12) ) )
& ssItem(X10) )
| app(app(X8,X2),X9) != X3
| ~ ssList(X9)
| ~ equalelemsP(X2) ) )
| ~ ssList(X3)
| X0 != X2
| nil = X0
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| ~ ssItem(X7)
| ~ lt(X4,X7) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f455,plain,
( memberP(nil,sK6(sK10(sK2),nil,sK9(sK2)))
| ~ ssList(sK2)
| ~ ssList(cons(sK10(sK2),nil))
| nil = sK2
| ~ spl17_2 ),
inference(equality_resolution,[],[f430]) ).
fof(f430,plain,
( ! [X0] :
( sK2 != X0
| ~ ssList(X0)
| nil = X0
| ~ ssList(cons(sK10(X0),nil))
| memberP(nil,sK6(sK10(X0),nil,sK9(X0))) )
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f429,f227]) ).
fof(f227,plain,
! [X0] :
( ssItem(sK10(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( ssItem(sK10(X0))
& cons(sK10(X0),sK9(X0)) = X0
& ssList(sK9(X0)) )
| ~ ssList(X0)
| nil = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f136,f158,f157]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) )
=> ( ? [X2] :
( ssItem(X2)
& cons(X2,sK9(X0)) = X0 )
& ssList(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,sK9(X0)) = X0 )
=> ( ssItem(sK10(X0))
& cons(sK10(X0),sK9(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) )
| ~ ssList(X0)
| nil = X0 ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f429,plain,
( ! [X0] :
( ~ ssList(cons(sK10(X0),nil))
| nil = X0
| memberP(nil,sK6(sK10(X0),nil,sK9(X0)))
| sK2 != X0
| ~ ssItem(sK10(X0))
| ~ ssList(X0) )
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f428,f225]) ).
fof(f225,plain,
! [X0] :
( ssList(sK9(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f428,plain,
( ! [X0] :
( ~ ssList(sK9(X0))
| memberP(nil,sK6(sK10(X0),nil,sK9(X0)))
| nil = X0
| ~ ssList(X0)
| sK2 != X0
| ~ ssItem(sK10(X0))
| ~ ssList(cons(sK10(X0),nil)) )
| ~ spl17_2 ),
inference(superposition,[],[f405,f226]) ).
fof(f226,plain,
! [X0] :
( cons(sK10(X0),sK9(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f405,plain,
( ! [X8,X9] :
( cons(X8,X9) != sK2
| ~ ssList(cons(X8,nil))
| ~ ssItem(X8)
| ~ ssList(X9)
| memberP(nil,sK6(X8,nil,X9)) )
| ~ spl17_2 ),
inference(duplicate_literal_removal,[],[f380]) ).
fof(f380,plain,
( ! [X8,X9] :
( ~ ssItem(X8)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(cons(X8,nil))
| ~ ssList(X9)
| cons(X8,X9) != sK2
| memberP(nil,sK6(X8,nil,X9)) )
| ~ spl17_2 ),
inference(superposition,[],[f290,f218]) ).
fof(f218,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
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(f290,plain,
( ! [X2,X3] :
( sK2 != app(cons(X2,nil),X3)
| ~ ssList(cons(X2,nil))
| ~ ssItem(X2)
| memberP(nil,sK6(X2,nil,X3))
| ~ ssList(X3) )
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f285,f270]) ).
fof(f270,plain,
( ssList(nil)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl17_2
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f285,plain,
! [X2,X3] :
( memberP(nil,sK6(X2,nil,X3))
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(nil)
| sK2 != app(cons(X2,nil),X3)
| ~ ssList(cons(X2,nil)) ),
inference(superposition,[],[f251,f194]) ).
fof(f194,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f251,plain,
! [X14,X12,X13] :
( app(app(X13,cons(X12,nil)),X14) != sK2
| ~ ssList(X14)
| ~ ssList(X13)
| memberP(X13,sK6(X12,X13,X14))
| ~ ssItem(X12) ),
inference(definition_unfolding,[],[f181,f176]) ).
fof(f176,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f147]) ).
fof(f181,plain,
! [X14,X12,X13] :
( ~ ssList(X13)
| memberP(X13,sK6(X12,X13,X14))
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14)
| ~ ssItem(X12) ),
inference(cnf_transformation,[],[f147]) ).
fof(f454,plain,
( ~ spl17_2
| spl17_3
| spl17_8 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl17_2
| spl17_3
| spl17_8 ),
inference(subsumption_resolution,[],[f452,f276]) ).
fof(f452,plain,
( nil = sK2
| ~ spl17_2
| spl17_8 ),
inference(subsumption_resolution,[],[f451,f192]) ).
fof(f451,plain,
( ~ ssList(sK2)
| nil = sK2
| ~ spl17_2
| spl17_8 ),
inference(resolution,[],[f450,f227]) ).
fof(f450,plain,
( ~ ssItem(sK10(sK2))
| ~ spl17_2
| spl17_8 ),
inference(subsumption_resolution,[],[f449,f270]) ).
fof(f449,plain,
( ~ ssList(nil)
| ~ ssItem(sK10(sK2))
| spl17_8 ),
inference(resolution,[],[f447,f198]) ).
fof(f198,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,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(f447,plain,
( ~ ssList(cons(sK10(sK2),nil))
| spl17_8 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f448,plain,
( spl17_7
| ~ spl17_8
| ~ spl17_2
| spl17_3 ),
inference(avatar_split_clause,[],[f439,f274,f269,f445,f441]) ).
fof(f439,plain,
( ~ ssList(cons(sK10(sK2),nil))
| ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
| ~ spl17_2
| spl17_3 ),
inference(subsumption_resolution,[],[f438,f276]) ).
fof(f438,plain,
( nil = sK2
| ~ ssList(cons(sK10(sK2),nil))
| ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f437,f192]) ).
fof(f437,plain,
( ~ ssList(cons(sK10(sK2),nil))
| ~ ssList(sK2)
| ssItem(sK6(sK10(sK2),nil,sK9(sK2)))
| nil = sK2
| ~ spl17_2 ),
inference(equality_resolution,[],[f424]) ).
fof(f424,plain,
( ! [X0] :
( sK2 != X0
| ~ ssList(cons(sK10(X0),nil))
| nil = X0
| ~ ssList(X0)
| ssItem(sK6(sK10(X0),nil,sK9(X0))) )
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f423,f227]) ).
fof(f423,plain,
( ! [X0] :
( sK2 != X0
| nil = X0
| ~ ssList(cons(sK10(X0),nil))
| ~ ssList(X0)
| ~ ssItem(sK10(X0))
| ssItem(sK6(sK10(X0),nil,sK9(X0))) )
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f422,f225]) ).
fof(f422,plain,
( ! [X0] :
( ~ ssList(sK9(X0))
| sK2 != X0
| ~ ssItem(sK10(X0))
| ssItem(sK6(sK10(X0),nil,sK9(X0)))
| ~ ssList(X0)
| ~ ssList(cons(sK10(X0),nil))
| nil = X0 )
| ~ spl17_2 ),
inference(superposition,[],[f409,f226]) ).
fof(f409,plain,
( ! [X14,X15] :
( cons(X14,X15) != sK2
| ~ ssList(X15)
| ~ ssItem(X14)
| ssItem(sK6(X14,nil,X15))
| ~ ssList(cons(X14,nil)) )
| ~ spl17_2 ),
inference(duplicate_literal_removal,[],[f383]) ).
fof(f383,plain,
( ! [X14,X15] :
( ~ ssList(X15)
| ~ ssItem(X14)
| ~ ssItem(X14)
| cons(X14,X15) != sK2
| ~ ssList(cons(X14,nil))
| ~ ssList(X15)
| ssItem(sK6(X14,nil,X15)) )
| ~ spl17_2 ),
inference(superposition,[],[f293,f218]) ).
fof(f293,plain,
( ! [X8,X9] :
( app(cons(X8,nil),X9) != sK2
| ~ ssList(cons(X8,nil))
| ~ ssList(X9)
| ~ ssItem(X8)
| ssItem(sK6(X8,nil,X9)) )
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f288,f270]) ).
fof(f288,plain,
! [X8,X9] :
( ssItem(sK6(X8,nil,X9))
| ~ ssList(nil)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(cons(X8,nil))
| app(cons(X8,nil),X9) != sK2 ),
inference(superposition,[],[f252,f194]) ).
fof(f252,plain,
! [X14,X12,X13] :
( app(app(X13,cons(X12,nil)),X14) != sK2
| ~ ssItem(X12)
| ~ ssList(X13)
| ~ ssList(X14)
| ssItem(sK6(X12,X13,X14)) ),
inference(definition_unfolding,[],[f180,f176]) ).
fof(f180,plain,
! [X14,X12,X13] :
( ~ ssList(X13)
| ssItem(sK6(X12,X13,X14))
| ~ ssList(X14)
| sK0 != app(app(X13,cons(X12,nil)),X14)
| ~ ssItem(X12) ),
inference(cnf_transformation,[],[f147]) ).
fof(f283,plain,
spl17_2,
inference(avatar_split_clause,[],[f217,f269]) ).
fof(f217,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f282,plain,
~ spl17_3,
inference(avatar_split_clause,[],[f248,f274]) ).
fof(f248,plain,
nil != sK2,
inference(definition_unfolding,[],[f191,f176]) ).
fof(f191,plain,
nil != sK0,
inference(cnf_transformation,[],[f147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC246+1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:23:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (454)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)
% 0.19/0.48 % (447)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)
% 0.19/0.49 % (447)Instruction limit reached!
% 0.19/0.49 % (447)------------------------------
% 0.19/0.49 % (447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (472)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)
% 0.19/0.49 % (454)Instruction limit reached!
% 0.19/0.49 % (454)------------------------------
% 0.19/0.49 % (454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (454)Termination reason: Unknown
% 0.19/0.50 % (454)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (454)Memory used [KB]: 6140
% 0.19/0.50 % (454)Time elapsed: 0.006 s
% 0.19/0.50 % (454)Instructions burned: 7 (million)
% 0.19/0.50 % (454)------------------------------
% 0.19/0.50 % (454)------------------------------
% 0.19/0.50 % (447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (447)Termination reason: Unknown
% 0.19/0.50 % (447)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (447)Memory used [KB]: 6268
% 0.19/0.50 % (447)Time elapsed: 0.096 s
% 0.19/0.50 % (447)Instructions burned: 13 (million)
% 0.19/0.50 % (447)------------------------------
% 0.19/0.50 % (447)------------------------------
% 0.19/0.51 % (463)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)
% 0.19/0.51 % (445)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)
% 0.19/0.51 % (457)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)
% 0.19/0.51 % (456)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)
% 0.19/0.51 % (445)Instruction limit reached!
% 0.19/0.51 % (445)------------------------------
% 0.19/0.51 % (445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (445)Termination reason: Unknown
% 0.19/0.51 % (445)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (445)Memory used [KB]: 1663
% 0.19/0.51 % (445)Time elapsed: 0.003 s
% 0.19/0.51 % (445)Instructions burned: 4 (million)
% 0.19/0.51 % (445)------------------------------
% 0.19/0.51 % (445)------------------------------
% 0.19/0.51 % (457)Instruction limit reached!
% 0.19/0.51 % (457)------------------------------
% 0.19/0.51 % (457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (457)Termination reason: Unknown
% 0.19/0.51 % (457)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (457)Memory used [KB]: 1663
% 0.19/0.51 % (457)Time elapsed: 0.003 s
% 0.19/0.51 % (457)Instructions burned: 4 (million)
% 0.19/0.51 % (457)------------------------------
% 0.19/0.51 % (457)------------------------------
% 0.19/0.51 % (472)Instruction limit reached!
% 0.19/0.51 % (472)------------------------------
% 0.19/0.51 % (472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (443)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (472)Termination reason: Unknown
% 0.19/0.51 % (472)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (472)Memory used [KB]: 6524
% 0.19/0.51 % (472)Time elapsed: 0.126 s
% 0.19/0.51 % (472)Instructions burned: 24 (million)
% 0.19/0.51 % (472)------------------------------
% 0.19/0.51 % (472)------------------------------
% 0.19/0.51 % (449)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)
% 0.19/0.52 % (465)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)
% 0.19/0.52 % (471)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)
% 0.19/0.52 % (444)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 % (446)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)
% 0.19/0.52 % (448)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)
% 0.19/0.52 % (455)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 % (471)Instruction limit reached!
% 0.19/0.53 % (471)------------------------------
% 0.19/0.53 % (471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (467)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)
% 0.19/0.53 % (460)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (460)Instruction limit reached!
% 0.19/0.53 % (460)------------------------------
% 0.19/0.53 % (460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (460)Termination reason: Unknown
% 0.19/0.53 % (460)Termination phase: Naming
% 0.19/0.53
% 0.19/0.53 % (460)Memory used [KB]: 1663
% 0.19/0.53 % (460)Time elapsed: 0.003 s
% 0.19/0.53 % (460)Instructions burned: 3 (million)
% 0.19/0.53 % (460)------------------------------
% 0.19/0.53 % (460)------------------------------
% 0.19/0.53 % (471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (471)Termination reason: Unknown
% 0.19/0.53 % (471)Termination phase: Function definition elimination
% 0.19/0.53
% 0.19/0.53 % (471)Memory used [KB]: 1791
% 0.19/0.53 % (471)Time elapsed: 0.009 s
% 0.19/0.53 % (471)Instructions burned: 9 (million)
% 0.19/0.53 % (471)------------------------------
% 0.19/0.53 % (471)------------------------------
% 0.19/0.53 % (464)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)
% 0.19/0.53 % (461)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)
% 0.19/0.53 % (470)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)
% 0.19/0.53 % (461)Instruction limit reached!
% 0.19/0.53 % (461)------------------------------
% 0.19/0.53 % (461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (461)Termination reason: Unknown
% 0.19/0.53 % (461)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (461)Memory used [KB]: 1535
% 0.19/0.53 % (461)Time elapsed: 0.003 s
% 0.19/0.53 % (461)Instructions burned: 3 (million)
% 0.19/0.53 % (461)------------------------------
% 0.19/0.53 % (461)------------------------------
% 0.19/0.53 % (452)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)
% 0.19/0.53 % (451)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)
% 0.19/0.53 % (469)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)
% 0.19/0.53 % (468)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 % (459)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)
% 1.37/0.54 % (453)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)
% 1.37/0.54 % (455)Instruction limit reached!
% 1.37/0.54 % (455)------------------------------
% 1.37/0.54 % (455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (455)Termination reason: Unknown
% 1.37/0.54 % (455)Termination phase: Saturation
% 1.37/0.54
% 1.37/0.54 % (455)Memory used [KB]: 2046
% 1.37/0.54 % (455)Time elapsed: 0.154 s
% 1.37/0.54 % (455)Instructions burned: 17 (million)
% 1.37/0.54 % (455)------------------------------
% 1.37/0.54 % (455)------------------------------
% 1.37/0.54 % (466)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)
% 1.37/0.54 % (462)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)
% 1.37/0.54 % (449)First to succeed.
% 1.37/0.55 % (444)Instruction limit reached!
% 1.37/0.55 % (444)------------------------------
% 1.37/0.55 % (444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (444)Termination reason: Unknown
% 1.37/0.55 % (444)Termination phase: Saturation
% 1.37/0.55
% 1.37/0.55 % (444)Memory used [KB]: 1918
% 1.37/0.55 % (444)Time elapsed: 0.008 s
% 1.37/0.55 % (444)Instructions burned: 13 (million)
% 1.37/0.55 % (444)------------------------------
% 1.37/0.55 % (444)------------------------------
% 1.37/0.55 % (448)Instruction limit reached!
% 1.37/0.55 % (448)------------------------------
% 1.37/0.55 % (448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (448)Termination reason: Unknown
% 1.37/0.55 % (448)Termination phase: Saturation
% 1.37/0.55
% 1.37/0.55 % (448)Memory used [KB]: 1791
% 1.37/0.55 % (448)Time elapsed: 0.148 s
% 1.37/0.55 % (448)Instructions burned: 15 (million)
% 1.37/0.55 % (448)------------------------------
% 1.37/0.55 % (448)------------------------------
% 1.37/0.55 % (450)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)
% 1.37/0.55 % (462)Instruction limit reached!
% 1.37/0.55 % (462)------------------------------
% 1.37/0.55 % (462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (462)Termination reason: Unknown
% 1.37/0.55 % (462)Termination phase: Saturation
% 1.37/0.55
% 1.37/0.55 % (462)Memory used [KB]: 6268
% 1.37/0.55 % (462)Time elapsed: 0.170 s
% 1.37/0.55 % (462)Instructions burned: 11 (million)
% 1.37/0.55 % (462)------------------------------
% 1.37/0.55 % (462)------------------------------
% 1.37/0.55 % (458)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)
% 1.37/0.56 % (458)Instruction limit reached!
% 1.37/0.56 % (458)------------------------------
% 1.37/0.56 % (458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.56 % (470)Instruction limit reached!
% 1.66/0.56 % (470)------------------------------
% 1.66/0.56 % (470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.56 % (470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.56 % (470)Termination reason: Unknown
% 1.66/0.56 % (470)Termination phase: Saturation
% 1.66/0.56
% 1.66/0.56 % (470)Memory used [KB]: 6652
% 1.66/0.56 % (470)Time elapsed: 0.176 s
% 1.66/0.56 % (470)Instructions burned: 25 (million)
% 1.66/0.56 % (470)------------------------------
% 1.66/0.56 % (470)------------------------------
% 1.66/0.56 % (458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.56 % (458)Termination reason: Unknown
% 1.66/0.56 % (458)Termination phase: Property scanning
% 1.66/0.56
% 1.66/0.56 % (458)Memory used [KB]: 1791
% 1.66/0.56 % (458)Time elapsed: 0.007 s
% 1.66/0.56 % (458)Instructions burned: 7 (million)
% 1.66/0.56 % (458)------------------------------
% 1.66/0.56 % (458)------------------------------
% 1.66/0.57 % (453)Refutation not found, incomplete strategy% (453)------------------------------
% 1.66/0.57 % (453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57 % (453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57 % (453)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.57
% 1.66/0.57 % (453)Memory used [KB]: 6268
% 1.66/0.57 % (453)Time elapsed: 0.160 s
% 1.66/0.57 % (453)Instructions burned: 11 (million)
% 1.66/0.57 % (453)------------------------------
% 1.66/0.57 % (453)------------------------------
% 1.66/0.57 % (449)Refutation found. Thanks to Tanya!
% 1.66/0.57 % SZS status Theorem for theBenchmark
% 1.66/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.57 % (449)------------------------------
% 1.66/0.57 % (449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57 % (449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57 % (449)Termination reason: Refutation
% 1.66/0.57
% 1.66/0.57 % (449)Memory used [KB]: 6268
% 1.66/0.57 % (449)Time elapsed: 0.124 s
% 1.66/0.57 % (449)Instructions burned: 16 (million)
% 1.66/0.57 % (449)------------------------------
% 1.66/0.57 % (449)------------------------------
% 1.66/0.57 % (442)Success in time 0.22 s
%------------------------------------------------------------------------------