TSTP Solution File: SWC049-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC049-1 : 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 18:38:25 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   42 (   8 unt;   0 def)
%            Number of atoms       :   93 (  15 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   98 (  47   ~;  45   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f351,plain,
    $false,
    inference(avatar_sat_refutation,[],[f213,f231,f232,f237,f238,f328,f350]) ).

fof(f350,plain,
    ( ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f349]) ).

fof(f349,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f348,f188]) ).

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

fof(f348,plain,
    ( ~ ssList(sk3)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f347,f236]) ).

fof(f236,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_7
  <=> rearsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f347,plain,
    ( ~ rearsegP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f346,f242]) ).

fof(f242,plain,
    rearsegP(sk3,sk3),
    inference(resolution,[],[f59,f188]) ).

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

fof(f346,plain,
    ( ~ rearsegP(sk3,sk3)
    | ~ rearsegP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ spl0_6 ),
    inference(resolution,[],[f230,f197]) ).

fof(f197,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ rearsegP(sk4,X6)
      | ~ rearsegP(sk3,X6) ),
    inference(definition_unfolding,[],[f192,f191,f190]) ).

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

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

fof(f192,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ rearsegP(sk1,X6)
      | ~ rearsegP(sk2,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f230,plain,
    ( neq(sk3,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl0_6
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f328,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f327]) ).

fof(f327,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | spl0_5 ),
    inference(subsumption_resolution,[],[f326,f212]) ).

fof(f212,plain,
    ( nil != sk4
    | spl0_2 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f326,plain,
    ( nil = sk4
    | ~ spl0_3
    | spl0_5 ),
    inference(subsumption_resolution,[],[f320,f226]) ).

fof(f226,plain,
    ( ~ neq(sk4,nil)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_5
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f320,plain,
    ( neq(sk4,nil)
    | nil = sk4
    | ~ spl0_3 ),
    inference(resolution,[],[f247,f216]) ).

fof(f216,plain,
    ( ssList(nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_3
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f247,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | neq(sk4,X1)
      | sk4 = X1 ),
    inference(resolution,[],[f100,f189]) ).

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

fof(f100,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | neq(X1,X0)
      | X0 = X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f238,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f199,f210,f206]) ).

fof(f206,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f199,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f194,f191,f190]) ).

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

fof(f237,plain,
    ( spl0_7
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f196,f224,f234]) ).

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

fof(f232,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f8,f215]) ).

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

fof(f231,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f195,f228,f224]) ).

fof(f195,axiom,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f213,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f193,f210,f206]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC049-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 18:02:48 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.52  % (4171)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  % (4170)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)
% 0.20/0.52  % (4184)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52  % (4182)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  % (4169)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  % (4186)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)
% 0.20/0.53  % (4176)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (4170)First to succeed.
% 0.20/0.53  % (4170)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  % (4170)------------------------------
% 0.20/0.53  % (4170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (4170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (4170)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (4170)Memory used [KB]: 6012
% 0.20/0.53  % (4170)Time elapsed: 0.113 s
% 0.20/0.53  % (4170)Instructions burned: 4 (million)
% 0.20/0.53  % (4170)------------------------------
% 0.20/0.53  % (4170)------------------------------
% 0.20/0.53  % (4166)Success in time 0.174 s
%------------------------------------------------------------------------------