TSTP Solution File: SWC317-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC317-1 : 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 : n013.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 18:40:22 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   32 (   5 unt;   0 def)
%            Number of atoms       :   88 (  20 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  113 (  57   ~;  50   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f354,plain,
    $false,
    inference(avatar_sat_refutation,[],[f271,f276,f289,f301,f303,f309,f349]) ).

fof(f349,plain,
    ( ~ spl0_6
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f348,f293,f286,f273,f255,f268]) ).

fof(f268,plain,
    ( spl0_6
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f255,plain,
    ( spl0_3
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f273,plain,
    ( spl0_7
  <=> sk3 = app(cons(sk5,nil),sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f286,plain,
    ( spl0_10
  <=> sk4 = app(sk6,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f293,plain,
    ( spl0_11
  <=> ! [X6,X7] :
        ( ~ ssList(X7)
        | sk3 != app(cons(X6,nil),X7)
        | ~ ssItem(X6)
        | sk4 != app(X7,cons(X6,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f348,plain,
    ( ~ ssList(sk6)
    | ~ ssItem(sk5)
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f347]) ).

fof(f347,plain,
    ( sk3 != sk3
    | ~ ssList(sk6)
    | ~ ssItem(sk5)
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f346,f275]) ).

fof(f275,plain,
    ( sk3 = app(cons(sk5,nil),sk6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f346,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk6)
    | sk3 != app(cons(sk5,nil),sk6)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f345]) ).

fof(f345,plain,
    ( ~ ssList(sk6)
    | ~ ssItem(sk5)
    | sk3 != app(cons(sk5,nil),sk6)
    | sk4 != sk4
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f294,f288]) ).

fof(f288,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f294,plain,
    ( ! [X6,X7] :
        ( sk4 != app(X7,cons(X6,nil))
        | sk3 != app(cons(X6,nil),X7)
        | ~ ssList(X7)
        | ~ ssItem(X6) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f309,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f238,f259]) ).

fof(f259,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f238,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f303,plain,
    ( ~ spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f209,f293,f259]) ).

fof(f209,plain,
    ! [X6,X7] :
      ( sk3 != app(cons(X6,nil),X7)
      | ~ ssItem(X6)
      | ~ ssList(X7)
      | sk4 != app(X7,cons(X6,nil))
      | ~ neq(sk4,nil) ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f199,axiom,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | ~ neq(sk4,nil)
      | ~ ssList(X7)
      | sk2 != app(X7,cons(X6,nil))
      | sk1 != app(cons(X6,nil),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f301,plain,
    ( ~ spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f201,f255,f259]) ).

fof(f201,axiom,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f289,plain,
    ( ~ spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f203,f286,f259]) ).

fof(f203,axiom,
    ( sk4 = app(sk6,cons(sk5,nil))
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

fof(f276,plain,
    ( spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f202,f259,f273]) ).

fof(f202,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

fof(f271,plain,
    ( ~ spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f200,f268,f259]) ).

fof(f200,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWC317-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 30 18:42:17 EDT 2022
% 0.15/0.37  % CPUTime    : 
% 0.21/0.52  % (369)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.53  % (385)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.53  % (377)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54  % (369)Instruction limit reached!
% 0.21/0.54  % (369)------------------------------
% 0.21/0.54  % (369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (362)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54  % (360)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.54  % (369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (369)Termination reason: Unknown
% 0.21/0.54  % (369)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (369)Memory used [KB]: 6012
% 0.21/0.54  % (369)Time elapsed: 0.007 s
% 0.21/0.54  % (369)Instructions burned: 6 (million)
% 0.21/0.54  % (369)------------------------------
% 0.21/0.54  % (369)------------------------------
% 0.21/0.55  % (362)First to succeed.
% 0.21/0.55  % (384)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.55  % (372)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55  % (377)Instruction limit reached!
% 0.21/0.55  % (377)------------------------------
% 0.21/0.55  % (377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (377)Termination reason: Unknown
% 0.21/0.55  % (377)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (377)Memory used [KB]: 1535
% 0.21/0.55  % (377)Time elapsed: 0.007 s
% 0.21/0.55  % (377)Instructions burned: 7 (million)
% 0.21/0.55  % (377)------------------------------
% 0.21/0.55  % (377)------------------------------
% 0.21/0.55  % (363)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.55  % (362)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (362)------------------------------
% 0.21/0.55  % (362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (362)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (362)Memory used [KB]: 6140
% 0.21/0.55  % (362)Time elapsed: 0.118 s
% 0.21/0.55  % (362)Instructions burned: 8 (million)
% 0.21/0.55  % (362)------------------------------
% 0.21/0.55  % (362)------------------------------
% 0.21/0.55  % (356)Success in time 0.177 s
%------------------------------------------------------------------------------