TSTP Solution File: SWC413+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC413+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 : n024.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 18:41:03 EDT 2022
% Result : Theorem 1.48s 0.72s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 29
% Syntax : Number of formulae : 142 ( 3 unt; 0 def)
% Number of atoms : 848 ( 223 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 1049 ( 343 ~; 357 |; 282 &)
% ( 15 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 328 ( 156 !; 172 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f394,plain,
$false,
inference(avatar_sat_refutation,[],[f259,f289,f294,f299,f300,f306,f315,f316,f323,f324,f325,f326,f328,f330,f331,f332,f333,f334,f335,f338,f340,f341,f342,f346,f349,f350,f351,f360,f385,f389,f393]) ).
fof(f393,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_8
| ~ spl17_12 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f392,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_8
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f391,f247]) ).
fof(f247,plain,
( ssList(sK8)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl17_1
<=> ssList(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f391,plain,
( ~ ssList(sK8)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_8
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f390,f276]) ).
fof(f276,plain,
( ssItem(sK7)
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl17_8
<=> ssItem(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f390,plain,
( ~ ssItem(sK7)
| ~ ssList(sK8)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f379,f263]) ).
fof(f263,plain,
( ssItem(sK6)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl17_5
<=> ssItem(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f379,plain,
( ~ ssItem(sK6)
| ~ ssItem(sK7)
| ~ ssList(sK8)
| ~ spl17_4
| ~ spl17_12 ),
inference(trivial_inequality_removal,[],[f378]) ).
fof(f378,plain,
( sK5 != sK5
| ~ ssList(sK8)
| ~ ssItem(sK6)
| ~ ssItem(sK7)
| ~ spl17_4
| ~ spl17_12 ),
inference(superposition,[],[f258,f298]) ).
fof(f298,plain,
( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK5
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl17_12
<=> app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f258,plain,
( ! [X8,X9,X7] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssItem(X7) )
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl17_4
<=> ! [X9,X7,X8] :
( ~ ssItem(X7)
| ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5
| ~ ssItem(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f389,plain,
( ~ spl17_4
| ~ spl17_6
| ~ spl17_9
| ~ spl17_14
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl17_4
| ~ spl17_6
| ~ spl17_9
| ~ spl17_14
| ~ spl17_15 ),
inference(subsumption_resolution,[],[f387,f311]) ).
fof(f311,plain,
( ssItem(sK10)
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl17_14
<=> ssItem(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f387,plain,
( ~ ssItem(sK10)
| ~ spl17_4
| ~ spl17_6
| ~ spl17_9
| ~ spl17_15 ),
inference(subsumption_resolution,[],[f386,f267]) ).
fof(f267,plain,
( ssItem(sK9)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl17_6
<=> ssItem(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f386,plain,
( ~ ssItem(sK9)
| ~ ssItem(sK10)
| ~ spl17_4
| ~ spl17_9
| ~ spl17_15 ),
inference(subsumption_resolution,[],[f380,f281]) ).
fof(f281,plain,
( ssList(sK11)
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl17_9
<=> ssList(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f380,plain,
( ~ ssList(sK11)
| ~ ssItem(sK9)
| ~ ssItem(sK10)
| ~ spl17_4
| ~ spl17_15 ),
inference(trivial_inequality_removal,[],[f377]) ).
fof(f377,plain,
( ~ ssItem(sK10)
| ~ ssItem(sK9)
| ~ ssList(sK11)
| sK5 != sK5
| ~ spl17_4
| ~ spl17_15 ),
inference(superposition,[],[f258,f322]) ).
fof(f322,plain,
( app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK5
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl17_15
<=> app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f385,plain,
( ~ spl17_3
| ~ spl17_4
| ~ spl17_10
| ~ spl17_11
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| ~ spl17_3
| ~ spl17_4
| ~ spl17_10
| ~ spl17_11
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f383,f293]) ).
fof(f293,plain,
( ssList(sK14)
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl17_11
<=> ssList(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f383,plain,
( ~ ssList(sK14)
| ~ spl17_3
| ~ spl17_4
| ~ spl17_10
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f382,f288]) ).
fof(f288,plain,
( ssItem(sK13)
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl17_10
<=> ssItem(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f382,plain,
( ~ ssItem(sK13)
| ~ ssList(sK14)
| ~ spl17_3
| ~ spl17_4
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f381,f305]) ).
fof(f305,plain,
( ssItem(sK12)
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f303,plain,
( spl17_13
<=> ssItem(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f381,plain,
( ~ ssItem(sK12)
| ~ ssItem(sK13)
| ~ ssList(sK14)
| ~ spl17_3
| ~ spl17_4 ),
inference(trivial_inequality_removal,[],[f376]) ).
fof(f376,plain,
( ~ ssList(sK14)
| ~ ssItem(sK12)
| ~ ssItem(sK13)
| sK5 != sK5
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f258,f255]) ).
fof(f255,plain,
( sK5 = app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl17_3
<=> sK5 = app(app(cons(sK12,nil),cons(sK13,nil)),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f360,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_7
| ~ spl17_10
| ~ spl17_11
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f359,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_7
| ~ spl17_10
| ~ spl17_11
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f358,f255]) ).
fof(f358,plain,
( sK5 != app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
| ~ spl17_2
| ~ spl17_7
| ~ spl17_10
| ~ spl17_11
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f357,f293]) ).
fof(f357,plain,
( ~ ssList(sK14)
| sK5 != app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
| ~ spl17_2
| ~ spl17_7
| ~ spl17_10
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f356,f288]) ).
fof(f356,plain,
( ~ ssItem(sK13)
| ~ ssList(sK14)
| sK5 != app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
| ~ spl17_2
| ~ spl17_7
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f355,f305]) ).
fof(f355,plain,
( ~ ssItem(sK12)
| ~ ssList(sK14)
| sK5 != app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
| ~ ssItem(sK13)
| ~ spl17_2
| ~ spl17_7 ),
inference(trivial_inequality_removal,[],[f353]) ).
fof(f353,plain,
( ~ ssItem(sK13)
| ~ ssList(sK14)
| sK4 != sK4
| ~ ssItem(sK12)
| sK5 != app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
| ~ spl17_2
| ~ spl17_7 ),
inference(superposition,[],[f250,f272]) ).
fof(f272,plain,
( sK4 = app(app(cons(sK13,nil),cons(sK12,nil)),sK14)
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl17_7
<=> sK4 = app(app(cons(sK13,nil),cons(sK12,nil)),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f250,plain,
( ! [X10,X11,X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK4
| app(app(cons(X10,nil),cons(X11,nil)),X12) != sK5
| ~ ssItem(X11)
| ~ ssList(X12)
| ~ ssItem(X10) )
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl17_2
<=> ! [X11,X12,X10] :
( app(app(cons(X10,nil),cons(X11,nil)),X12) != sK5
| app(app(cons(X11,nil),cons(X10,nil)),X12) != sK4
| ~ ssList(X12)
| ~ ssItem(X11)
| ~ ssItem(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f351,plain,
( spl17_10
| spl17_4 ),
inference(avatar_split_clause,[],[f158,f257,f286]) ).
fof(f158,plain,
! [X8,X9,X7] :
( ~ ssList(X9)
| ssItem(sK13)
| ~ ssItem(X8)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5
| ~ ssItem(X7) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ssList(sK2)
& sK3 = sK5
& sK2 = sK4
& ssList(sK5)
& ( ( ssItem(sK7)
& app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK3
& ssList(sK8)
& ssItem(sK6)
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != sK3
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ssItem(sK9)
& ssItem(sK10)
& ssList(sK11)
& app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK3
& ssItem(sK12)
& sK5 = app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
& sK4 = app(app(cons(sK13,nil),cons(sK12,nil)),sK14)
& ssList(sK14)
& ssItem(sK13) ) )
& ssList(sK4)
& ssList(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f124,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125]) ).
fof(f125,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ssList(X3)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != X0
| app(app(cons(X10,nil),cons(X11,nil)),X12) != X1
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = X1 ) ) )
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& app(app(cons(X17,nil),cons(X16,nil)),X18) = X2
& ssList(X18) )
& ssItem(X17) ) ) ) ) )
& ssList(X2) )
& ssList(X1) ) )
=> ( ssList(sK2)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& sK2 = X2
& ssList(X3)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != X1
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = X1 ) ) )
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& app(app(cons(X17,nil),cons(X16,nil)),X18) = X2
& ssList(X18) )
& ssItem(X17) ) ) ) ) )
& ssList(X2) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& sK2 = X2
& ssList(X3)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != X1
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = X1 ) ) )
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& app(app(cons(X17,nil),cons(X16,nil)),X18) = X2
& ssList(X18) )
& ssItem(X17) ) ) ) ) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( sK3 = X3
& sK2 = X2
& ssList(X3)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK3
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != sK3
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = sK3 ) ) )
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& app(app(cons(X17,nil),cons(X16,nil)),X18) = X2
& ssList(X18) )
& ssItem(X17) ) ) ) ) )
& ssList(X2) )
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X2] :
( ? [X3] :
( sK3 = X3
& sK2 = X2
& ssList(X3)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK3
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != sK3
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = sK3 ) ) )
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& app(app(cons(X17,nil),cons(X16,nil)),X18) = X2
& ssList(X18) )
& ssItem(X17) ) ) ) ) )
& ssList(X2) )
=> ( ? [X3] :
( sK3 = X3
& sK2 = sK4
& ssList(X3)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK3
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != sK3
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = sK3 ) ) )
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& sK4 = app(app(cons(X17,nil),cons(X16,nil)),X18)
& ssList(X18) )
& ssItem(X17) ) ) ) ) )
& ssList(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X3] :
( sK3 = X3
& sK2 = sK4
& ssList(X3)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK3
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != sK3
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = sK3 ) ) )
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& sK4 = app(app(cons(X17,nil),cons(X16,nil)),X18)
& ssList(X18) )
& ssItem(X17) ) ) ) ) )
=> ( sK3 = sK5
& sK2 = sK4
& ssList(sK5)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK3
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != sK3
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = sK3 ) ) )
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = sK5
& sK4 = app(app(cons(X17,nil),cons(X16,nil)),X18)
& ssList(X18) )
& ssItem(X17) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK3
& ssList(X6) ) )
& ssItem(X4) )
=> ( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(sK6,nil),cons(X5,nil)),X6) = sK3
& ssList(X6) ) )
& ssItem(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(sK6,nil),cons(X5,nil)),X6) = sK3
& ssList(X6) ) )
=> ( ssItem(sK7)
& ? [X6] :
( sK3 = app(app(cons(sK6,nil),cons(sK7,nil)),X6)
& ssList(X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X6] :
( sK3 = app(app(cons(sK6,nil),cons(sK7,nil)),X6)
& ssList(X6) )
=> ( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK3
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = sK3 ) ) )
=> ( ssItem(sK9)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(sK9,nil),cons(X14,nil)),X15) = sK3 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(sK9,nil),cons(X14,nil)),X15) = sK3 ) )
=> ( ssItem(sK10)
& ? [X15] :
( ssList(X15)
& sK3 = app(app(cons(sK9,nil),cons(sK10,nil)),X15) ) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X15] :
( ssList(X15)
& sK3 = app(app(cons(sK9,nil),cons(sK10,nil)),X15) )
=> ( ssList(sK11)
& app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = sK5
& sK4 = app(app(cons(X17,nil),cons(X16,nil)),X18)
& ssList(X18) )
& ssItem(X17) ) )
=> ( ssItem(sK12)
& ? [X17] :
( ? [X18] :
( sK5 = app(app(cons(sK12,nil),cons(X17,nil)),X18)
& sK4 = app(app(cons(X17,nil),cons(sK12,nil)),X18)
& ssList(X18) )
& ssItem(X17) ) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X17] :
( ? [X18] :
( sK5 = app(app(cons(sK12,nil),cons(X17,nil)),X18)
& sK4 = app(app(cons(X17,nil),cons(sK12,nil)),X18)
& ssList(X18) )
& ssItem(X17) )
=> ( ? [X18] :
( app(app(cons(sK12,nil),cons(sK13,nil)),X18) = sK5
& sK4 = app(app(cons(sK13,nil),cons(sK12,nil)),X18)
& ssList(X18) )
& ssItem(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X18] :
( app(app(cons(sK12,nil),cons(sK13,nil)),X18) = sK5
& sK4 = app(app(cons(sK13,nil),cons(sK12,nil)),X18)
& ssList(X18) )
=> ( sK5 = app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
& sK4 = app(app(cons(sK13,nil),cons(sK12,nil)),sK14)
& ssList(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ssList(X3)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) )
| ( ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ! [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != X0
| app(app(cons(X10,nil),cons(X11,nil)),X12) != X1
| ~ ssList(X12) )
| ~ ssItem(X11) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = X1 ) ) )
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& app(app(cons(X17,nil),cons(X16,nil)),X18) = X2
& ssList(X18) )
& ssItem(X17) ) ) ) ) )
& ssList(X2) )
& ssList(X1) ) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ssList(X3)
& ( ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) )
| ( ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( ! [X18] :
( app(app(cons(X17,nil),cons(X16,nil)),X18) != X0
| app(app(cons(X16,nil),cons(X17,nil)),X18) != X1
| ~ ssList(X18) )
| ~ ssItem(X17) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = X1 ) ) )
& ? [X10] :
( ssItem(X10)
& ? [X11] :
( ? [X12] :
( app(app(cons(X10,nil),cons(X11,nil)),X12) = X3
& app(app(cons(X11,nil),cons(X10,nil)),X12) = X2
& ssList(X12) )
& ssItem(X11) ) ) ) ) )
& ssList(X2) )
& ssList(X1) ) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) = X2
& app(app(cons(X10,nil),cons(X11,nil)),X12) = X3
& ssList(X12) )
& ssItem(X11) )
& ssItem(X10) )
& ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( ! [X18] :
( app(app(cons(X17,nil),cons(X16,nil)),X18) != X0
| app(app(cons(X16,nil),cons(X17,nil)),X18) != X1
| ~ ssList(X18) )
| ~ ssItem(X17) ) )
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = X1 ) ) ) )
| ( ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) ) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != X3 ) )
| ~ ssItem(X7) ) ) )
& X0 = X2
& X1 = X3
& 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)
=> ( ( ( ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssList(X12)
=> ( app(app(cons(X11,nil),cons(X10,nil)),X12) != X2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != X3 ) ) ) )
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ssItem(X17)
& ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X1
& app(app(cons(X17,nil),cons(X16,nil)),X18) = X0
& ssList(X18) ) ) )
| ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssList(X15)
=> app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) ) )
& ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> app(app(cons(X4,nil),cons(X5,nil)),X6) != X1 ) ) )
| ? [X7] :
( ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(app(cons(X7,nil),cons(X8,nil)),X9) = X3 ) )
& ssItem(X7) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X13] :
( ? [X14] :
( ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = X3 )
& ssItem(X14) )
& ssItem(X13) ) )
& ( ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssList(X12)
=> ( app(app(cons(X11,nil),cons(X10,nil)),X12) != X2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != X3 ) ) ) )
| ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6)
& app(app(cons(X5,nil),cons(X4,nil)),X6) = X0 )
& ssItem(X5) )
& ssItem(X4) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X13] :
( ? [X14] :
( ? [X15] :
( ssList(X15)
& app(app(cons(X13,nil),cons(X14,nil)),X15) = X3 )
& ssItem(X14) )
& ssItem(X13) ) )
& ( ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssList(X12)
=> ( app(app(cons(X11,nil),cons(X10,nil)),X12) != X2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != X3 ) ) ) )
| ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6)
& app(app(cons(X5,nil),cons(X4,nil)),X6) = X0 )
& ssItem(X5) )
& ssItem(X4) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f350,plain,
( spl17_7
| spl17_4 ),
inference(avatar_split_clause,[],[f160,f257,f270]) ).
fof(f160,plain,
! [X8,X9,X7] :
( ~ ssList(X9)
| ~ ssItem(X8)
| sK4 = app(app(cons(sK13,nil),cons(sK12,nil)),sK14)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5
| ~ ssItem(X7) ),
inference(cnf_transformation,[],[f138]) ).
fof(f349,plain,
( spl17_12
| spl17_10 ),
inference(avatar_split_clause,[],[f233,f286,f296]) ).
fof(f233,plain,
( ssItem(sK13)
| app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK5 ),
inference(definition_unfolding,[],[f188,f210]) ).
fof(f210,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f138]) ).
fof(f188,plain,
( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK3
| ssItem(sK13) ),
inference(cnf_transformation,[],[f138]) ).
fof(f346,plain,
( spl17_15
| spl17_8 ),
inference(avatar_split_clause,[],[f223,f274,f320]) ).
fof(f223,plain,
( ssItem(sK7)
| app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK5 ),
inference(definition_unfolding,[],[f203,f210]) ).
fof(f203,plain,
( ssItem(sK7)
| app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK3 ),
inference(cnf_transformation,[],[f138]) ).
fof(f342,plain,
( spl17_4
| spl17_2 ),
inference(avatar_split_clause,[],[f238,f249,f257]) ).
fof(f238,plain,
! [X10,X11,X8,X9,X7,X12] :
( app(app(cons(X11,nil),cons(X10,nil)),X12) != sK4
| ~ ssItem(X11)
| ~ ssList(X12)
| ~ ssList(X9)
| ~ ssItem(X8)
| app(app(cons(X10,nil),cons(X11,nil)),X12) != sK5
| ~ ssItem(X7)
| ~ ssItem(X10)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5 ),
inference(definition_unfolding,[],[f167,f209,f210]) ).
fof(f209,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f138]) ).
fof(f167,plain,
! [X10,X11,X8,X9,X7,X12] :
( ~ ssItem(X8)
| ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5
| ~ ssItem(X7)
| ~ ssItem(X10)
| app(app(cons(X11,nil),cons(X10,nil)),X12) != sK2
| app(app(cons(X10,nil),cons(X11,nil)),X12) != sK3
| ~ ssList(X12)
| ~ ssItem(X11) ),
inference(cnf_transformation,[],[f138]) ).
fof(f341,plain,
( spl17_1
| spl17_10 ),
inference(avatar_split_clause,[],[f178,f286,f245]) ).
fof(f178,plain,
( ssItem(sK13)
| ssList(sK8) ),
inference(cnf_transformation,[],[f138]) ).
fof(f340,plain,
( spl17_5
| spl17_15 ),
inference(avatar_split_clause,[],[f237,f320,f261]) ).
fof(f237,plain,
( app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK5
| ssItem(sK6) ),
inference(definition_unfolding,[],[f173,f210]) ).
fof(f173,plain,
( ssItem(sK6)
| app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK3 ),
inference(cnf_transformation,[],[f138]) ).
fof(f338,plain,
( spl17_1
| spl17_3 ),
inference(avatar_split_clause,[],[f181,f253,f245]) ).
fof(f181,plain,
( sK5 = app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
| ssList(sK8) ),
inference(cnf_transformation,[],[f138]) ).
fof(f335,plain,
( spl17_5
| spl17_11 ),
inference(avatar_split_clause,[],[f169,f291,f261]) ).
fof(f169,plain,
( ssList(sK14)
| ssItem(sK6) ),
inference(cnf_transformation,[],[f138]) ).
fof(f334,plain,
( spl17_5
| spl17_3 ),
inference(avatar_split_clause,[],[f171,f253,f261]) ).
fof(f171,plain,
( sK5 = app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
| ssItem(sK6) ),
inference(cnf_transformation,[],[f138]) ).
fof(f333,plain,
( spl17_5
| spl17_10 ),
inference(avatar_split_clause,[],[f168,f286,f261]) ).
fof(f168,plain,
( ssItem(sK13)
| ssItem(sK6) ),
inference(cnf_transformation,[],[f138]) ).
fof(f332,plain,
( spl17_6
| spl17_8 ),
inference(avatar_split_clause,[],[f206,f274,f265]) ).
fof(f206,plain,
( ssItem(sK7)
| ssItem(sK9) ),
inference(cnf_transformation,[],[f138]) ).
fof(f331,plain,
( spl17_1
| spl17_11 ),
inference(avatar_split_clause,[],[f179,f291,f245]) ).
fof(f179,plain,
( ssList(sK14)
| ssList(sK8) ),
inference(cnf_transformation,[],[f138]) ).
fof(f330,plain,
( spl17_13
| spl17_4 ),
inference(avatar_split_clause,[],[f162,f257,f303]) ).
fof(f162,plain,
! [X8,X9,X7] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5
| ~ ssItem(X8)
| ~ ssItem(X7)
| ssItem(sK12)
| ~ ssList(X9) ),
inference(cnf_transformation,[],[f138]) ).
fof(f328,plain,
( spl17_15
| spl17_12 ),
inference(avatar_split_clause,[],[f228,f296,f320]) ).
fof(f228,plain,
( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK5
| app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK5 ),
inference(definition_unfolding,[],[f193,f210,f210]) ).
fof(f193,plain,
( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK3
| app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK3 ),
inference(cnf_transformation,[],[f138]) ).
fof(f326,plain,
( spl17_15
| spl17_4 ),
inference(avatar_split_clause,[],[f239,f257,f320]) ).
fof(f239,plain,
! [X8,X9,X7] :
( ~ ssItem(X7)
| ~ ssList(X9)
| app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK5
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5
| ~ ssItem(X8) ),
inference(definition_unfolding,[],[f163,f210]) ).
fof(f163,plain,
! [X8,X9,X7] :
( ~ ssItem(X8)
| ~ ssList(X9)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5
| ~ ssItem(X7)
| app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK3 ),
inference(cnf_transformation,[],[f138]) ).
fof(f325,plain,
( spl17_12
| spl17_13 ),
inference(avatar_split_clause,[],[f229,f303,f296]) ).
fof(f229,plain,
( ssItem(sK12)
| app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK5 ),
inference(definition_unfolding,[],[f192,f210]) ).
fof(f192,plain,
( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK3
| ssItem(sK12) ),
inference(cnf_transformation,[],[f138]) ).
fof(f324,plain,
( spl17_8
| spl17_9 ),
inference(avatar_split_clause,[],[f204,f279,f274]) ).
fof(f204,plain,
( ssList(sK11)
| ssItem(sK7) ),
inference(cnf_transformation,[],[f138]) ).
fof(f323,plain,
( spl17_1
| spl17_15 ),
inference(avatar_split_clause,[],[f235,f320,f245]) ).
fof(f235,plain,
( app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK5
| ssList(sK8) ),
inference(definition_unfolding,[],[f183,f210]) ).
fof(f183,plain,
( ssList(sK8)
| app(app(cons(sK9,nil),cons(sK10,nil)),sK11) = sK3 ),
inference(cnf_transformation,[],[f138]) ).
fof(f316,plain,
( spl17_1
| spl17_13 ),
inference(avatar_split_clause,[],[f182,f303,f245]) ).
fof(f182,plain,
( ssItem(sK12)
| ssList(sK8) ),
inference(cnf_transformation,[],[f138]) ).
fof(f315,plain,
( spl17_14
| spl17_8 ),
inference(avatar_split_clause,[],[f205,f274,f309]) ).
fof(f205,plain,
( ssItem(sK7)
| ssItem(sK10) ),
inference(cnf_transformation,[],[f138]) ).
fof(f306,plain,
( spl17_5
| spl17_13 ),
inference(avatar_split_clause,[],[f172,f303,f261]) ).
fof(f172,plain,
( ssItem(sK12)
| ssItem(sK6) ),
inference(cnf_transformation,[],[f138]) ).
fof(f300,plain,
( spl17_11
| spl17_12 ),
inference(avatar_split_clause,[],[f232,f296,f291]) ).
fof(f232,plain,
( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK5
| ssList(sK14) ),
inference(definition_unfolding,[],[f189,f210]) ).
fof(f189,plain,
( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK3
| ssList(sK14) ),
inference(cnf_transformation,[],[f138]) ).
fof(f299,plain,
( spl17_3
| spl17_12 ),
inference(avatar_split_clause,[],[f230,f296,f253]) ).
fof(f230,plain,
( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK5
| sK5 = app(app(cons(sK12,nil),cons(sK13,nil)),sK14) ),
inference(definition_unfolding,[],[f191,f210]) ).
fof(f191,plain,
( app(app(cons(sK6,nil),cons(sK7,nil)),sK8) = sK3
| sK5 = app(app(cons(sK12,nil),cons(sK13,nil)),sK14) ),
inference(cnf_transformation,[],[f138]) ).
fof(f294,plain,
( spl17_11
| spl17_4 ),
inference(avatar_split_clause,[],[f159,f257,f291]) ).
fof(f159,plain,
! [X8,X9,X7] :
( ~ ssItem(X8)
| ssList(sK14)
| ~ ssList(X9)
| ~ ssItem(X7)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5 ),
inference(cnf_transformation,[],[f138]) ).
fof(f289,plain,
( spl17_10
| spl17_8 ),
inference(avatar_split_clause,[],[f198,f274,f286]) ).
fof(f198,plain,
( ssItem(sK7)
| ssItem(sK13) ),
inference(cnf_transformation,[],[f138]) ).
fof(f259,plain,
( spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f161,f257,f253]) ).
fof(f161,plain,
! [X8,X9,X7] :
( ~ ssItem(X7)
| ~ ssItem(X8)
| sK5 = app(app(cons(sK12,nil),cons(sK13,nil)),sK14)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK5
| ~ ssList(X9) ),
inference(cnf_transformation,[],[f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.25 % Problem : SWC413+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.26 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.47 % Computer : n024.cluster.edu
% 0.10/0.47 % Model : x86_64 x86_64
% 0.10/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.47 % Memory : 8042.1875MB
% 0.10/0.47 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.47 % CPULimit : 300
% 0.10/0.47 % WCLimit : 300
% 0.10/0.47 % DateTime : Tue Aug 30 18:56:49 EDT 2022
% 0.10/0.48 % CPUTime :
% 1.03/0.68 % (7536)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)
% 1.03/0.68 % (7542)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)
% 1.03/0.68 % (7550)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)
% 1.03/0.68 % (7550)Instruction limit reached!
% 1.03/0.68 % (7550)------------------------------
% 1.03/0.68 % (7550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.03/0.68 % (7550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.03/0.68 % (7550)Termination reason: Unknown
% 1.03/0.68 % (7550)Termination phase: Preprocessing 1
% 1.03/0.68
% 1.03/0.68 % (7550)Memory used [KB]: 1407
% 1.03/0.68 % (7550)Time elapsed: 0.004 s
% 1.03/0.68 % (7550)Instructions burned: 2 (million)
% 1.03/0.68 % (7550)------------------------------
% 1.03/0.68 % (7550)------------------------------
% 1.03/0.69 % (7544)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)
% 1.03/0.69 % (7534)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)
% 1.03/0.69 % (7538)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)
% 1.03/0.69 % (7547)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)
% 1.03/0.69 % (7539)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)
% 1.03/0.70 % (7548)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)
% 1.03/0.70 % (7533)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)
% 1.03/0.70 % (7542)Refutation not found, incomplete strategy% (7542)------------------------------
% 1.03/0.70 % (7542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.03/0.70 % (7542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.03/0.70 % (7542)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.70
% 1.03/0.70 % (7542)Memory used [KB]: 6140
% 1.03/0.70 % (7542)Time elapsed: 0.148 s
% 1.03/0.70 % (7542)Instructions burned: 7 (million)
% 1.03/0.70 % (7542)------------------------------
% 1.03/0.70 % (7542)------------------------------
% 1.03/0.70 % (7536)First to succeed.
% 1.03/0.70 % (7555)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)
% 1.03/0.70 % (7558)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)
% 1.03/0.70 % (7541)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)
% 1.03/0.70 % (7534)Instruction limit reached!
% 1.03/0.70 % (7534)------------------------------
% 1.03/0.70 % (7534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.03/0.70 % (7534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.03/0.70 % (7534)Termination reason: Unknown
% 1.03/0.70 % (7534)Termination phase: Preprocessing 3
% 1.03/0.70
% 1.03/0.70 % (7534)Memory used [KB]: 1663
% 1.03/0.70 % (7534)Time elapsed: 0.005 s
% 1.03/0.70 % (7534)Instructions burned: 3 (million)
% 1.03/0.70 % (7534)------------------------------
% 1.03/0.70 % (7534)------------------------------
% 1.03/0.70 % (7552)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)
% 1.03/0.70 % (7549)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.03/0.70 % (7549)Instruction limit reached!
% 1.03/0.70 % (7549)------------------------------
% 1.03/0.70 % (7549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.03/0.70 % (7540)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)
% 1.03/0.70 % (7556)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)
% 1.03/0.70 % (7554)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)
% 1.03/0.71 % (7549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.03/0.71 % (7549)Termination reason: Unknown
% 1.03/0.71 % (7549)Termination phase: Naming
% 1.03/0.71
% 1.03/0.71 % (7549)Memory used [KB]: 1663
% 1.03/0.71 % (7549)Time elapsed: 0.004 s
% 1.03/0.71 % (7549)Instructions burned: 3 (million)
% 1.03/0.71 % (7549)------------------------------
% 1.03/0.71 % (7549)------------------------------
% 1.03/0.71 % (7560)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)
% 1.48/0.71 % (7547)Instruction limit reached!
% 1.48/0.71 % (7547)------------------------------
% 1.48/0.71 % (7547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.72 % (7557)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)
% 1.48/0.72 % (7537)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)
% 1.48/0.72 % (7533)Instruction limit reached!
% 1.48/0.72 % (7533)------------------------------
% 1.48/0.72 % (7533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.72 % (7536)Refutation found. Thanks to Tanya!
% 1.48/0.72 % SZS status Theorem for theBenchmark
% 1.48/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.72 % (7536)------------------------------
% 1.48/0.72 % (7536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.72 % (7536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.72 % (7536)Termination reason: Refutation
% 1.48/0.72
% 1.48/0.72 % (7536)Memory used [KB]: 6268
% 1.48/0.72 % (7536)Time elapsed: 0.153 s
% 1.48/0.72 % (7536)Instructions burned: 9 (million)
% 1.48/0.72 % (7536)------------------------------
% 1.48/0.72 % (7536)------------------------------
% 1.48/0.72 % (7531)Success in time 0.234 s
%------------------------------------------------------------------------------