TSTP Solution File: SWC048-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC048-1 : 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 : n025.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 18:38:25 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   56 (   7 unt;   0 def)
%            Number of atoms       :  141 (  17 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  163 (  78   ~;  76   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f359,plain,
    $false,
    inference(avatar_sat_refutation,[],[f223,f228,f237,f238,f239,f240,f265,f282,f295,f301,f339,f358]) ).

fof(f358,plain,
    ( ~ spl0_7
    | spl0_14 ),
    inference(avatar_split_clause,[],[f357,f279,f244]) ).

fof(f244,plain,
    ( spl0_7
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f279,plain,
    ( spl0_14
  <=> rearsegP(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f357,plain,
    ( ~ ssList(sk3)
    | spl0_14 ),
    inference(resolution,[],[f281,f59]) ).

fof(f59,axiom,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f281,plain,
    ( ~ rearsegP(sk3,sk3)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f339,plain,
    ( ~ spl0_12
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f337,f215,f211,f271]) ).

fof(f271,plain,
    ( spl0_12
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f211,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f215,plain,
    ( spl0_2
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f337,plain,
    ( ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f292,f209]) ).

fof(f209,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f292,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f217,f213]) ).

fof(f213,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f217,plain,
    ( neq(sk4,nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f301,plain,
    ( ~ spl0_7
    | spl0_3
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f298,f225,f211,f220,f244]) ).

fof(f220,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f225,plain,
    ( spl0_4
  <=> rearsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f298,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f296,f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f296,plain,
    ( rearsegP(nil,sk3)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f227,f213]) ).

fof(f227,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f295,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f294]) ).

fof(f294,plain,
    ( $false
    | spl0_12 ),
    inference(resolution,[],[f273,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f273,plain,
    ( ~ ssList(nil)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f282,plain,
    ( ~ spl0_7
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f268,f235,f230,f279,f225,f244]) ).

fof(f230,plain,
    ( spl0_5
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f235,plain,
    ( spl0_6
  <=> ! [X6] :
        ( ~ rearsegP(sk4,X6)
        | ~ neq(X6,nil)
        | ~ rearsegP(sk3,X6)
        | ~ ssList(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f268,plain,
    ( ~ rearsegP(sk3,sk3)
    | ~ rearsegP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f236,f232]) ).

fof(f232,plain,
    ( neq(sk3,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f236,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ rearsegP(sk4,X6)
        | ~ rearsegP(sk3,X6)
        | ~ ssList(X6) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f265,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f264]) ).

fof(f264,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f246,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f246,plain,
    ( ~ ssList(sk3)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f240,plain,
    ( spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f197,f211,f225]) ).

fof(f197,axiom,
    ( nil = sk4
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f239,plain,
    ( ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f201,f235,f220]) ).

fof(f201,plain,
    ! [X6] :
      ( ~ rearsegP(sk3,X6)
      | nil != sk3
      | ~ ssList(X6)
      | ~ neq(X6,nil)
      | ~ rearsegP(sk4,X6) ),
    inference(definition_unfolding,[],[f195,f190,f191,f191]) ).

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

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

fof(f195,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ rearsegP(sk2,X6)
      | nil != sk1
      | ~ rearsegP(sk1,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f238,plain,
    ( spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f196,f211,f230]) ).

fof(f196,axiom,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f237,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f203,f235,f211]) ).

fof(f203,plain,
    ! [X6] :
      ( ~ rearsegP(sk4,X6)
      | ~ ssList(X6)
      | ~ rearsegP(sk3,X6)
      | nil = sk4
      | ~ neq(X6,nil) ),
    inference(definition_unfolding,[],[f193,f191,f190,f190]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ rearsegP(sk1,X6)
      | nil = sk2
      | ~ neq(X6,nil)
      | ~ rearsegP(sk2,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f228,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f199,f225,f220]) ).

fof(f199,axiom,
    ( rearsegP(sk4,sk3)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f223,plain,
    ( ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f200,f215,f220]) ).

fof(f200,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f194,f191,f190]) ).

fof(f194,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC048-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % 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 : n025.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 18:09:45 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (14837)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (14853)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (14845)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.51  % (14824)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (14847)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (14845)First to succeed.
% 0.19/0.51  % (14837)Instruction limit reached!
% 0.19/0.51  % (14837)------------------------------
% 0.19/0.51  % (14837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (14837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (14837)Termination reason: Unknown
% 0.19/0.51  % (14837)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (14837)Memory used [KB]: 1407
% 0.19/0.51  % (14837)Time elapsed: 0.005 s
% 0.19/0.51  % (14837)Instructions burned: 3 (million)
% 0.19/0.51  % (14837)------------------------------
% 0.19/0.51  % (14837)------------------------------
% 0.19/0.52  % (14845)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (14845)------------------------------
% 0.19/0.52  % (14845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (14845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (14845)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (14845)Memory used [KB]: 6012
% 0.19/0.52  % (14845)Time elapsed: 0.111 s
% 0.19/0.52  % (14845)Instructions burned: 5 (million)
% 0.19/0.52  % (14845)------------------------------
% 0.19/0.52  % (14845)------------------------------
% 0.19/0.52  % (14823)Success in time 0.173 s
%------------------------------------------------------------------------------