TSTP Solution File: SWC364-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC364-1 : 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 : n015.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 18:40:43 EDT 2022

% Result   : Unsatisfiable 0.17s 0.51s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   46 (   9 unt;   0 def)
%            Number of atoms       :  114 (   7 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  129 (  61   ~;  62   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f382,plain,
    $false,
    inference(avatar_sat_refutation,[],[f231,f232,f233,f239,f286,f312,f379]) ).

fof(f379,plain,
    ( spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f378]) ).

fof(f378,plain,
    ( $false
    | spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f377,f8]) ).

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

fof(f377,plain,
    ( ~ ssList(nil)
    | spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f376,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f376,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f375,f230]) ).

fof(f230,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl0_3
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f375,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f372]) ).

fof(f372,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | segmentP(sk4,sk3)
    | ~ spl0_10 ),
    inference(superposition,[],[f285,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f285,plain,
    ( ! [X7] :
        ( segmentP(app(sk4,X7),sk3)
        | ~ ssList(X7)
        | ~ ssList(app(sk4,X7)) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl0_10
  <=> ! [X7] :
        ( ~ ssList(app(sk4,X7))
        | ~ ssList(X7)
        | segmentP(app(sk4,X7),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f312,plain,
    ( ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f311]) ).

fof(f311,plain,
    ( $false
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f310,f225]) ).

fof(f225,plain,
    ( ssItem(sk5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_2
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f310,plain,
    ( ~ ssItem(sk5)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f309,f8]) ).

fof(f309,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_6 ),
    inference(resolution,[],[f266,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f266,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl0_6
  <=> ssList(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f286,plain,
    ( ~ spl0_6
    | spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f282,f236,f284,f264]) ).

fof(f236,plain,
    ( spl0_4
  <=> sk4 = app(cons(sk5,nil),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f282,plain,
    ( ! [X7] :
        ( ~ ssList(app(sk4,X7))
        | segmentP(app(sk4,X7),sk3)
        | ~ ssList(X7)
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f254,f201]) ).

fof(f201,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f254,plain,
    ( ! [X7] :
        ( ~ ssList(sk3)
        | ~ ssList(cons(sk5,nil))
        | segmentP(app(sk4,X7),sk3)
        | ~ ssList(X7)
        | ~ ssList(app(sk4,X7)) )
    | ~ spl0_4 ),
    inference(superposition,[],[f212,f238]) ).

fof(f238,plain,
    ( sk4 = app(cons(sk5,nil),sk3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f212,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X2)
      | segmentP(X3,X1)
      | app(app(X0,X1),X2) != X3
      | ~ ssList(X3)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f239,plain,
    ( spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f219,f236]) ).

fof(f219,plain,
    ( spl0_1
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f198,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(cons(sk5,nil),sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f233,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f217,f219]) ).

fof(f217,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f200,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(f232,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f223,f219]) ).

fof(f197,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f231,plain,
    ( ~ spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f206,f219,f228]) ).

fof(f206,plain,
    ( ~ neq(sk4,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

fof(f199,axiom,
    ( ~ neq(sk4,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC364-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 19:03:06 EDT 2022
% 0.11/0.34  % CPUTime    : 
% 0.17/0.49  % (30868)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49  % (30867)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)
% 0.17/0.49  % (30875)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.17/0.49  % (30871)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.49  % (30876)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)
% 0.17/0.50  % (30876)Instruction limit reached!
% 0.17/0.50  % (30876)------------------------------
% 0.17/0.50  % (30876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (30879)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.17/0.51  % (30883)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)
% 0.17/0.51  % (30871)Instruction limit reached!
% 0.17/0.51  % (30871)------------------------------
% 0.17/0.51  % (30871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (30871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (30871)Termination reason: Unknown
% 0.17/0.51  % (30871)Termination phase: Property scanning
% 0.17/0.51  
% 0.17/0.51  % (30871)Memory used [KB]: 1535
% 0.17/0.51  % (30871)Time elapsed: 0.006 s
% 0.17/0.51  % (30871)Instructions burned: 7 (million)
% 0.17/0.51  % (30871)------------------------------
% 0.17/0.51  % (30871)------------------------------
% 0.17/0.51  % (30887)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)
% 0.17/0.51  % (30868)First to succeed.
% 0.17/0.51  % (30876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (30868)Refutation found. Thanks to Tanya!
% 0.17/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51  % (30868)------------------------------
% 0.17/0.51  % (30868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (30868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (30868)Termination reason: Refutation
% 0.17/0.51  
% 0.17/0.51  % (30868)Memory used [KB]: 6140
% 0.17/0.51  % (30868)Time elapsed: 0.113 s
% 0.17/0.51  % (30868)Instructions burned: 7 (million)
% 0.17/0.51  % (30868)------------------------------
% 0.17/0.51  % (30868)------------------------------
% 0.17/0.51  % (30860)Success in time 0.171 s
%------------------------------------------------------------------------------