TSTP Solution File: SWC017-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC017-1 : 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 : n014.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 18:38:14 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   59 (  10 unt;   0 def)
%            Number of atoms       :  154 (  17 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  184 (  89   ~;  87   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f277,plain,
    $false,
    inference(avatar_sat_refutation,[],[f217,f222,f232,f237,f239,f240,f254,f262,f263,f270,f276]) ).

fof(f276,plain,
    ( ~ spl0_1
    | spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | ~ spl0_1
    | spl0_4
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f274,f188]) ).

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

fof(f274,plain,
    ( ~ ssList(sk3)
    | ~ spl0_1
    | spl0_4
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f273,f225]) ).

fof(f225,plain,
    ( nil != sk3
    | spl0_4 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f273,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f84,f266]) ).

fof(f266,plain,
    ( frontsegP(nil,sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f236,f213]) ).

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

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

fof(f236,plain,
    ( frontsegP(sk4,sk3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_6
  <=> frontsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f270,plain,
    ( ~ spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f269]) ).

fof(f269,plain,
    ( $false
    | ~ spl0_1
    | spl0_7 ),
    inference(subsumption_resolution,[],[f265,f255]) ).

fof(f255,plain,
    frontsegP(sk3,nil),
    inference(resolution,[],[f60,f188]) ).

fof(f60,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f265,plain,
    ( ~ frontsegP(sk3,nil)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f249,f213]) ).

fof(f249,plain,
    ( ~ frontsegP(sk3,sk4)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_7
  <=> frontsegP(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f263,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f259,f251]) ).

fof(f251,plain,
    ( spl0_8
  <=> frontsegP(sk4,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f259,plain,
    frontsegP(sk4,sk4),
    inference(resolution,[],[f61,f201]) ).

fof(f201,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f61,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f262,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f261]) ).

fof(f261,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f258,f244]) ).

fof(f244,plain,
    ( ~ frontsegP(sk3,sk3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f243,f236]) ).

fof(f243,plain,
    ( ~ frontsegP(sk4,sk3)
    | ~ frontsegP(sk3,sk3)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f241,f188]) ).

fof(f241,plain,
    ( ~ ssList(sk3)
    | ~ frontsegP(sk4,sk3)
    | ~ frontsegP(sk3,sk3)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f216,f221]) ).

fof(f221,plain,
    ( neq(sk3,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f216,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ frontsegP(sk3,X6)
        | ~ frontsegP(sk4,X6)
        | ~ ssList(X6) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_2
  <=> ! [X6] :
        ( ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ frontsegP(sk3,X6)
        | ~ frontsegP(sk4,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f258,plain,
    frontsegP(sk3,sk3),
    inference(resolution,[],[f61,f188]) ).

fof(f254,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f245,f229,f215,f251,f247]) ).

fof(f229,plain,
    ( spl0_5
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f245,plain,
    ( ~ frontsegP(sk4,sk4)
    | ~ frontsegP(sk3,sk4)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f242,f201]) ).

fof(f242,plain,
    ( ~ ssList(sk4)
    | ~ frontsegP(sk3,sk4)
    | ~ frontsegP(sk4,sk4)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f216,f231]) ).

fof(f231,plain,
    ( neq(sk4,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f240,plain,
    ( spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f199,f224,f234]) ).

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

fof(f239,plain,
    ( ~ spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f205,f215,f224]) ).

fof(f205,plain,
    ! [X6] :
      ( ~ frontsegP(sk4,X6)
      | nil != sk3
      | ~ ssList(X6)
      | ~ frontsegP(sk3,X6)
      | ~ neq(X6,nil) ),
    inference(definition_unfolding,[],[f195,f191,f190,f191]) ).

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

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

fof(f237,plain,
    ( spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f197,f211,f234]) ).

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

fof(f232,plain,
    ( spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f204,f224,f229]) ).

fof(f204,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f194,f190,f191]) ).

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

fof(f222,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f196,f219,f211]) ).

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

fof(f217,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f215,f211]) ).

fof(f202,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | ~ frontsegP(sk4,X6)
      | nil = sk4
      | ~ frontsegP(sk3,X6)
      | ~ neq(X6,nil) ),
    inference(definition_unfolding,[],[f193,f190,f191,f190]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC017-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 17:56:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (16898)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.48  % (16909)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.48  % (16898)Instruction limit reached!
% 0.20/0.48  % (16898)------------------------------
% 0.20/0.48  % (16898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (16898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (16898)Termination reason: Unknown
% 0.20/0.48  % (16898)Termination phase: Property scanning
% 0.20/0.48  
% 0.20/0.48  % (16898)Memory used [KB]: 1535
% 0.20/0.48  % (16898)Time elapsed: 0.005 s
% 0.20/0.48  % (16898)Instructions burned: 4 (million)
% 0.20/0.48  % (16898)------------------------------
% 0.20/0.48  % (16898)------------------------------
% 0.20/0.49  % (16909)Instruction limit reached!
% 0.20/0.49  % (16909)------------------------------
% 0.20/0.49  % (16909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (16909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (16909)Termination reason: Unknown
% 0.20/0.49  % (16909)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (16909)Memory used [KB]: 1535
% 0.20/0.49  % (16909)Time elapsed: 0.007 s
% 0.20/0.49  % (16909)Instructions burned: 7 (million)
% 0.20/0.49  % (16909)------------------------------
% 0.20/0.49  % (16909)------------------------------
% 0.20/0.50  % (16893)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)
% 0.20/0.51  % (16890)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (16895)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (16916)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.52  % (16894)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52  % (16912)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52  % (16917)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)
% 0.20/0.53  % (16905)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)
% 0.20/0.53  % (16892)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53  % (16892)Instruction limit reached!
% 0.20/0.53  % (16892)------------------------------
% 0.20/0.53  % (16892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (16892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (16892)Termination reason: Unknown
% 0.20/0.53  % (16893)First to succeed.
% 0.20/0.53  % (16892)Termination phase: Equality proxy
% 0.20/0.53  
% 0.20/0.53  % (16892)Memory used [KB]: 1535
% 0.20/0.53  % (16892)Time elapsed: 0.004 s
% 0.20/0.53  % (16892)Instructions burned: 4 (million)
% 0.20/0.53  % (16892)------------------------------
% 0.20/0.53  % (16892)------------------------------
% 0.20/0.53  % (16915)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.53  % (16905)Instruction limit reached!
% 0.20/0.53  % (16905)------------------------------
% 0.20/0.53  % (16905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (16893)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (16893)------------------------------
% 0.20/0.53  % (16893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (16893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (16893)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (16893)Memory used [KB]: 6012
% 0.20/0.53  % (16893)Time elapsed: 0.124 s
% 0.20/0.53  % (16893)Instructions burned: 3 (million)
% 0.20/0.53  % (16893)------------------------------
% 0.20/0.53  % (16893)------------------------------
% 0.20/0.53  % (16889)Success in time 0.18 s
%------------------------------------------------------------------------------