TSTP Solution File: SWC327-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC327-1 : 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_sat --cores 0 -t %d %s

% Computer : n016.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 18:43:11 EDT 2022

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  104 (  22 unt;   0 def)
%            Number of atoms       :  341 ( 182 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  471 ( 234   ~; 237   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f335,plain,
    $false,
    inference(subsumption_resolution,[],[f334,f300]) ).

fof(f300,plain,
    nil = app(nil,sk5),
    inference(backward_demodulation,[],[f288,f297]) ).

fof(f297,plain,
    nil = sk2,
    inference(backward_demodulation,[],[f190,f294]) ).

fof(f294,plain,
    nil = sk4,
    inference(trivial_inequality_removal,[],[f286]) ).

fof(f286,plain,
    ( nil = sk4
    | nil != nil ),
    inference(backward_demodulation,[],[f240,f277]) ).

fof(f277,plain,
    nil = sk1,
    inference(subsumption_resolution,[],[f276,f244]) ).

fof(f244,plain,
    sk2 = app(sk1,sk5),
    inference(backward_demodulation,[],[f242,f243]) ).

fof(f243,plain,
    sk2 = sF0,
    inference(forward_demodulation,[],[f232,f190]) ).

fof(f232,plain,
    sk4 = sF0,
    inference(definition_folding,[],[f193,f231]) ).

fof(f231,plain,
    app(sk3,sk5) = sF0,
    introduced(function_definition,[]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f242,plain,
    sF0 = app(sk1,sk5),
    inference(forward_demodulation,[],[f231,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f276,plain,
    ( sk2 != app(sk1,sk5)
    | nil = sk1 ),
    inference(subsumption_resolution,[],[f275,f245]) ).

fof(f245,plain,
    equalelemsP(sk1),
    inference(forward_demodulation,[],[f194,f191]) ).

fof(f194,axiom,
    equalelemsP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f275,plain,
    ( ~ equalelemsP(sk1)
    | sk2 != app(sk1,sk5)
    | nil = sk1 ),
    inference(subsumption_resolution,[],[f274,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f274,plain,
    ( nil = sk1
    | ~ ssList(sk5)
    | sk2 != app(sk1,sk5)
    | ~ equalelemsP(sk1) ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f273,plain,
    ( sk2 != app(sk1,sk5)
    | ~ ssList(sk5)
    | nil = sk1
    | nil = sk1
    | ~ equalelemsP(sk1) ),
    inference(resolution,[],[f272,f201]) ).

fof(f201,axiom,
    ! [X6] :
      ( ssList(sk8(X6))
      | ~ ssList(X6)
      | nil = sk1
      | sk2 != app(sk1,X6)
      | ~ equalelemsP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f272,plain,
    ( ~ ssList(sk8(sk5))
    | nil = sk1 ),
    inference(trivial_inequality_removal,[],[f271]) ).

fof(f271,plain,
    ( nil = sk1
    | sk1 != sk1
    | ~ ssList(sk8(sk5)) ),
    inference(duplicate_literal_removal,[],[f270]) ).

fof(f270,plain,
    ( ~ ssList(sk8(sk5))
    | nil = sk1
    | sk1 != sk1
    | nil = sk1 ),
    inference(superposition,[],[f269,f254]) ).

fof(f254,plain,
    ( sk1 = app(sk8(sk5),cons(sk6(sk5),nil))
    | nil = sk1 ),
    inference(subsumption_resolution,[],[f253,f192]) ).

fof(f253,plain,
    ( ~ ssList(sk5)
    | sk1 = app(sk8(sk5),cons(sk6(sk5),nil))
    | nil = sk1 ),
    inference(trivial_inequality_removal,[],[f252]) ).

fof(f252,plain,
    ( sk2 != sk2
    | nil = sk1
    | ~ ssList(sk5)
    | sk1 = app(sk8(sk5),cons(sk6(sk5),nil)) ),
    inference(superposition,[],[f251,f244]) ).

fof(f251,plain,
    ! [X6] :
      ( sk2 != app(sk1,X6)
      | nil = sk1
      | ~ ssList(X6)
      | sk1 = app(sk8(X6),cons(sk6(X6),nil)) ),
    inference(subsumption_resolution,[],[f202,f245]) ).

fof(f202,axiom,
    ! [X6] :
      ( ~ ssList(X6)
      | nil = sk1
      | ~ equalelemsP(sk1)
      | sk2 != app(sk1,X6)
      | sk1 = app(sk8(X6),cons(sk6(X6),nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f269,plain,
    ! [X0] :
      ( sk1 != app(X0,cons(sk6(sk5),nil))
      | ~ ssList(X0)
      | nil = sk1 ),
    inference(subsumption_resolution,[],[f268,f192]) ).

fof(f268,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(sk5)
      | sk1 != app(X0,cons(sk6(sk5),nil))
      | nil = sk1 ),
    inference(subsumption_resolution,[],[f267,f245]) ).

fof(f267,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ equalelemsP(sk1)
      | nil = sk1
      | ~ ssList(sk5)
      | sk1 != app(X0,cons(sk6(sk5),nil)) ),
    inference(subsumption_resolution,[],[f266,f244]) ).

fof(f266,plain,
    ! [X0] :
      ( nil = sk1
      | ~ ssList(X0)
      | sk1 != app(X0,cons(sk6(sk5),nil))
      | sk2 != app(sk1,sk5)
      | ~ ssList(sk5)
      | ~ equalelemsP(sk1) ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f265,plain,
    ! [X0] :
      ( nil = sk1
      | sk1 != app(X0,cons(sk6(sk5),nil))
      | ~ ssList(X0)
      | nil = sk1
      | ~ equalelemsP(sk1)
      | ~ ssList(sk5)
      | sk2 != app(sk1,sk5) ),
    inference(resolution,[],[f264,f199]) ).

fof(f199,axiom,
    ! [X6] :
      ( ssList(sk7(X6))
      | ~ ssList(X6)
      | ~ equalelemsP(sk1)
      | sk2 != app(sk1,X6)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f264,plain,
    ! [X0] :
      ( ~ ssList(sk7(sk5))
      | sk1 != app(X0,cons(sk6(sk5),nil))
      | ~ ssList(X0)
      | nil = sk1 ),
    inference(subsumption_resolution,[],[f263,f192]) ).

fof(f263,plain,
    ! [X0] :
      ( ~ ssList(sk5)
      | nil = sk1
      | ~ ssList(sk7(sk5))
      | ~ ssList(X0)
      | sk1 != app(X0,cons(sk6(sk5),nil)) ),
    inference(subsumption_resolution,[],[f262,f244]) ).

fof(f262,plain,
    ! [X0] :
      ( sk2 != app(sk1,sk5)
      | ~ ssList(sk5)
      | ~ ssList(sk7(sk5))
      | ~ ssList(X0)
      | nil = sk1
      | sk1 != app(X0,cons(sk6(sk5),nil)) ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f261,plain,
    ! [X0] :
      ( ~ ssList(sk7(sk5))
      | nil = sk1
      | sk2 != app(sk1,sk5)
      | nil = sk1
      | ~ ssList(X0)
      | sk1 != app(X0,cons(sk6(sk5),nil))
      | ~ ssList(sk5) ),
    inference(resolution,[],[f260,f246]) ).

fof(f246,plain,
    ! [X6] :
      ( ssItem(sk6(X6))
      | sk2 != app(sk1,X6)
      | nil = sk1
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f197,f245]) ).

fof(f197,axiom,
    ! [X6] :
      ( ssItem(sk6(X6))
      | ~ equalelemsP(sk1)
      | sk2 != app(sk1,X6)
      | ~ ssList(X6)
      | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f260,plain,
    ! [X0] :
      ( ~ ssItem(sk6(sk5))
      | ~ ssList(sk7(sk5))
      | sk1 != app(X0,cons(sk6(sk5),nil))
      | nil = sk1
      | ~ ssList(X0) ),
    inference(trivial_inequality_removal,[],[f259]) ).

fof(f259,plain,
    ! [X0] :
      ( nil = sk1
      | ~ ssList(X0)
      | ~ ssList(sk7(sk5))
      | sk1 != app(X0,cons(sk6(sk5),nil))
      | sk5 != sk5
      | ~ ssItem(sk6(sk5)) ),
    inference(superposition,[],[f241,f258]) ).

fof(f258,plain,
    ( sk5 = app(cons(sk6(sk5),nil),sk7(sk5))
    | nil = sk1 ),
    inference(subsumption_resolution,[],[f257,f192]) ).

fof(f257,plain,
    ( nil = sk1
    | ~ ssList(sk5)
    | sk5 = app(cons(sk6(sk5),nil),sk7(sk5)) ),
    inference(trivial_inequality_removal,[],[f256]) ).

fof(f256,plain,
    ( sk2 != sk2
    | nil = sk1
    | ~ ssList(sk5)
    | sk5 = app(cons(sk6(sk5),nil),sk7(sk5)) ),
    inference(superposition,[],[f255,f244]) ).

fof(f255,plain,
    ! [X0] :
      ( sk2 != app(sk1,X0)
      | nil = sk1
      | ~ ssList(X0)
      | app(cons(sk6(X0),nil),sk7(X0)) = X0 ),
    inference(resolution,[],[f200,f245]) ).

fof(f200,axiom,
    ! [X6] :
      ( ~ equalelemsP(sk1)
      | app(cons(sk6(X6),nil),sk7(X6)) = X6
      | nil = sk1
      | ~ ssList(X6)
      | sk2 != app(sk1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f241,plain,
    ! [X8,X6,X7] :
      ( sk5 != app(cons(X6,nil),X7)
      | ~ ssList(X7)
      | ~ ssList(X8)
      | ~ ssItem(X6)
      | sk1 != app(X8,cons(X6,nil)) ),
    inference(backward_demodulation,[],[f195,f191]) ).

fof(f195,axiom,
    ! [X8,X6,X7] :
      ( ~ ssItem(X6)
      | sk5 != app(cons(X6,nil),X7)
      | sk3 != app(X8,cons(X6,nil))
      | ~ ssList(X8)
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f240,plain,
    ( nil != sk1
    | nil = sk4 ),
    inference(backward_demodulation,[],[f196,f191]) ).

fof(f196,axiom,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f288,plain,
    sk2 = app(nil,sk5),
    inference(backward_demodulation,[],[f244,f277]) ).

fof(f334,plain,
    nil != app(nil,sk5),
    inference(subsumption_resolution,[],[f333,f192]) ).

fof(f333,plain,
    ( ~ ssList(sk5)
    | nil != app(nil,sk5) ),
    inference(resolution,[],[f332,f310]) ).

fof(f310,plain,
    ! [X6] :
      ( ssList(sk8(X6))
      | nil != app(nil,X6)
      | ~ ssList(X6) ),
    inference(forward_demodulation,[],[f309,f297]) ).

fof(f309,plain,
    ! [X6] :
      ( ssList(sk8(X6))
      | sk2 != app(nil,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f308,f1]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f308,plain,
    ! [X6] :
      ( ~ equalelemsP(nil)
      | ~ ssList(X6)
      | ssList(sk8(X6))
      | sk2 != app(nil,X6) ),
    inference(forward_demodulation,[],[f307,f277]) ).

fof(f307,plain,
    ! [X6] :
      ( ssList(sk8(X6))
      | ~ equalelemsP(sk1)
      | sk2 != app(nil,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f285,f297]) ).

fof(f285,plain,
    ! [X6] :
      ( ~ equalelemsP(sk1)
      | sk2 != app(nil,X6)
      | ~ ssList(X6)
      | ssList(sk8(X6))
      | nil != sk2 ),
    inference(backward_demodulation,[],[f205,f277]) ).

fof(f205,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ ssList(X6)
      | ~ equalelemsP(sk1)
      | ssList(sk8(X6))
      | sk2 != app(sk1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).

fof(f332,plain,
    ~ ssList(sk8(sk5)),
    inference(trivial_inequality_removal,[],[f331]) ).

fof(f331,plain,
    ( ~ ssList(sk8(sk5))
    | nil != nil ),
    inference(superposition,[],[f330,f319]) ).

fof(f319,plain,
    nil = app(sk8(sk5),cons(sk6(sk5),nil)),
    inference(subsumption_resolution,[],[f318,f192]) ).

fof(f318,plain,
    ( ~ ssList(sk5)
    | nil = app(sk8(sk5),cons(sk6(sk5),nil)) ),
    inference(trivial_inequality_removal,[],[f317]) ).

fof(f317,plain,
    ( ~ ssList(sk5)
    | nil = app(sk8(sk5),cons(sk6(sk5),nil))
    | nil != nil ),
    inference(superposition,[],[f306,f300]) ).

fof(f306,plain,
    ! [X6] :
      ( nil != app(nil,X6)
      | ~ ssList(X6)
      | nil = app(sk8(X6),cons(sk6(X6),nil)) ),
    inference(forward_demodulation,[],[f305,f277]) ).

fof(f305,plain,
    ! [X6] :
      ( sk1 = app(sk8(X6),cons(sk6(X6),nil))
      | nil != app(nil,X6)
      | ~ ssList(X6) ),
    inference(forward_demodulation,[],[f304,f297]) ).

fof(f304,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | sk2 != app(nil,X6)
      | sk1 = app(sk8(X6),cons(sk6(X6),nil)) ),
    inference(subsumption_resolution,[],[f292,f297]) ).

fof(f292,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | sk1 = app(sk8(X6),cons(sk6(X6),nil))
      | sk2 != app(nil,X6)
      | nil != sk2 ),
    inference(backward_demodulation,[],[f250,f277]) ).

fof(f250,plain,
    ! [X6] :
      ( nil != sk2
      | ~ ssList(X6)
      | sk2 != app(sk1,X6)
      | sk1 = app(sk8(X6),cons(sk6(X6),nil)) ),
    inference(subsumption_resolution,[],[f206,f245]) ).

fof(f206,axiom,
    ! [X6] :
      ( nil != sk2
      | sk1 = app(sk8(X6),cons(sk6(X6),nil))
      | ~ equalelemsP(sk1)
      | ~ ssList(X6)
      | sk2 != app(sk1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).

fof(f330,plain,
    ! [X0] :
      ( nil != app(X0,cons(sk6(sk5),nil))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f329,f300]) ).

fof(f329,plain,
    ! [X0] :
      ( nil != app(nil,sk5)
      | ~ ssList(X0)
      | nil != app(X0,cons(sk6(sk5),nil)) ),
    inference(subsumption_resolution,[],[f328,f192]) ).

fof(f328,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(sk5)
      | nil != app(nil,sk5)
      | nil != app(X0,cons(sk6(sk5),nil)) ),
    inference(resolution,[],[f327,f303]) ).

fof(f303,plain,
    ! [X6] :
      ( ssList(sk7(X6))
      | nil != app(nil,X6)
      | ~ ssList(X6) ),
    inference(forward_demodulation,[],[f302,f297]) ).

fof(f302,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | ssList(sk7(X6))
      | sk2 != app(nil,X6) ),
    inference(trivial_inequality_removal,[],[f301]) ).

fof(f301,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | sk2 != app(nil,X6)
      | ssList(sk7(X6))
      | nil != nil ),
    inference(backward_demodulation,[],[f296,f297]) ).

fof(f296,plain,
    ! [X6] :
      ( sk2 != app(nil,X6)
      | ~ ssList(X6)
      | ssList(sk7(X6))
      | nil != sk2 ),
    inference(subsumption_resolution,[],[f295,f1]) ).

fof(f295,plain,
    ! [X6] :
      ( nil != sk2
      | sk2 != app(nil,X6)
      | ssList(sk7(X6))
      | ~ equalelemsP(nil)
      | ~ ssList(X6) ),
    inference(forward_demodulation,[],[f284,f277]) ).

fof(f284,plain,
    ! [X6] :
      ( nil != sk2
      | ssList(sk7(X6))
      | ~ equalelemsP(sk1)
      | sk2 != app(nil,X6)
      | ~ ssList(X6) ),
    inference(backward_demodulation,[],[f203,f277]) ).

fof(f203,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ equalelemsP(sk1)
      | ssList(sk7(X6))
      | ~ ssList(X6)
      | sk2 != app(sk1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f327,plain,
    ! [X0] :
      ( ~ ssList(sk7(sk5))
      | nil != app(X0,cons(sk6(sk5),nil))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f326,f192]) ).

fof(f326,plain,
    ! [X0] :
      ( nil != app(X0,cons(sk6(sk5),nil))
      | ~ ssList(X0)
      | ~ ssList(sk5)
      | ~ ssList(sk7(sk5)) ),
    inference(subsumption_resolution,[],[f325,f300]) ).

fof(f325,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != app(nil,sk5)
      | ~ ssList(sk5)
      | nil != app(X0,cons(sk6(sk5),nil))
      | ~ ssList(sk7(sk5)) ),
    inference(resolution,[],[f324,f316]) ).

fof(f316,plain,
    ! [X6] :
      ( ssItem(sk6(X6))
      | ~ ssList(X6)
      | nil != app(nil,X6) ),
    inference(forward_demodulation,[],[f315,f297]) ).

fof(f315,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | sk2 != app(nil,X6)
      | ssItem(sk6(X6)) ),
    inference(subsumption_resolution,[],[f314,f1]) ).

fof(f314,plain,
    ! [X6] :
      ( ssItem(sk6(X6))
      | sk2 != app(nil,X6)
      | ~ ssList(X6)
      | ~ equalelemsP(nil) ),
    inference(forward_demodulation,[],[f313,f277]) ).

fof(f313,plain,
    ! [X6] :
      ( ssItem(sk6(X6))
      | ~ equalelemsP(sk1)
      | sk2 != app(nil,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f280,f297]) ).

fof(f280,plain,
    ! [X6] :
      ( nil != sk2
      | ssItem(sk6(X6))
      | ~ equalelemsP(sk1)
      | sk2 != app(nil,X6)
      | ~ ssList(X6) ),
    inference(backward_demodulation,[],[f198,f277]) ).

fof(f198,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ equalelemsP(sk1)
      | sk2 != app(sk1,X6)
      | ~ ssList(X6)
      | ssItem(sk6(X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f324,plain,
    ! [X0] :
      ( ~ ssItem(sk6(sk5))
      | ~ ssList(sk7(sk5))
      | ~ ssList(X0)
      | nil != app(X0,cons(sk6(sk5),nil)) ),
    inference(trivial_inequality_removal,[],[f323]) ).

fof(f323,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != app(X0,cons(sk6(sk5),nil))
      | ~ ssList(sk7(sk5))
      | sk5 != sk5
      | ~ ssItem(sk6(sk5)) ),
    inference(superposition,[],[f287,f322]) ).

fof(f322,plain,
    sk5 = app(cons(sk6(sk5),nil),sk7(sk5)),
    inference(subsumption_resolution,[],[f321,f192]) ).

fof(f321,plain,
    ( ~ ssList(sk5)
    | sk5 = app(cons(sk6(sk5),nil),sk7(sk5)) ),
    inference(trivial_inequality_removal,[],[f320]) ).

fof(f320,plain,
    ( sk5 = app(cons(sk6(sk5),nil),sk7(sk5))
    | nil != nil
    | ~ ssList(sk5) ),
    inference(superposition,[],[f312,f300]) ).

fof(f312,plain,
    ! [X6] :
      ( nil != app(nil,X6)
      | ~ ssList(X6)
      | app(cons(sk6(X6),nil),sk7(X6)) = X6 ),
    inference(forward_demodulation,[],[f311,f297]) ).

fof(f311,plain,
    ! [X6] :
      ( app(cons(sk6(X6),nil),sk7(X6)) = X6
      | ~ ssList(X6)
      | sk2 != app(nil,X6) ),
    inference(subsumption_resolution,[],[f291,f297]) ).

fof(f291,plain,
    ! [X6] :
      ( app(cons(sk6(X6),nil),sk7(X6)) = X6
      | nil != sk2
      | ~ ssList(X6)
      | sk2 != app(nil,X6) ),
    inference(backward_demodulation,[],[f249,f277]) ).

fof(f249,plain,
    ! [X6] :
      ( nil != sk2
      | app(cons(sk6(X6),nil),sk7(X6)) = X6
      | ~ ssList(X6)
      | sk2 != app(sk1,X6) ),
    inference(subsumption_resolution,[],[f204,f245]) ).

fof(f204,axiom,
    ! [X6] :
      ( ~ ssList(X6)
      | ~ equalelemsP(sk1)
      | nil != sk2
      | sk2 != app(sk1,X6)
      | app(cons(sk6(X6),nil),sk7(X6)) = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

fof(f287,plain,
    ! [X8,X6,X7] :
      ( sk5 != app(cons(X6,nil),X7)
      | ~ ssItem(X6)
      | nil != app(X8,cons(X6,nil))
      | ~ ssList(X7)
      | ~ ssList(X8) ),
    inference(backward_demodulation,[],[f241,f277]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC327-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n016.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 19:09:46 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.46  % (11520)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.47  % (11512)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.48  % (11528)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.48  % (11512)Instruction limit reached!
% 0.21/0.48  % (11512)------------------------------
% 0.21/0.48  % (11512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48  % (11512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48  % (11512)Termination reason: Unknown
% 0.21/0.48  % (11512)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (11512)Memory used [KB]: 5628
% 0.21/0.48  % (11512)Time elapsed: 0.069 s
% 0.21/0.48  % (11512)Instructions burned: 8 (million)
% 0.21/0.48  % (11512)------------------------------
% 0.21/0.48  % (11512)------------------------------
% 0.21/0.48  % (11520)First to succeed.
% 0.21/0.49  % (11535)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.49  % (11520)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (11520)------------------------------
% 0.21/0.49  % (11520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (11520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (11520)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (11520)Memory used [KB]: 1279
% 0.21/0.49  % (11520)Time elapsed: 0.075 s
% 0.21/0.49  % (11520)Instructions burned: 15 (million)
% 0.21/0.49  % (11520)------------------------------
% 0.21/0.49  % (11520)------------------------------
% 0.21/0.49  % (11501)Success in time 0.136 s
%------------------------------------------------------------------------------