TSTP Solution File: SWC032-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC032-1 : 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 : n012.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 18:38:19 EDT 2022

% Result   : Unsatisfiable 1.32s 0.52s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :   64 (  23 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   60 (  27   ~;  29   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f271,plain,
    $false,
    inference(avatar_sat_refutation,[],[f218,f219,f220,f245,f268,f270]) ).

fof(f270,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f269]) ).

fof(f269,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f238,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f238,plain,
    ( ~ ssList(sk5)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl0_4
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f268,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f267,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f234,f203]) ).

fof(f203,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

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

fof(f234,plain,
    ( ~ ssList(sk3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl0_3
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f245,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f244,f211,f215,f236,f232]) ).

fof(f215,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

fof(f244,plain,
    ( nil = sk3
    | ~ ssList(sk5)
    | ~ ssList(sk3)
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f243]) ).

fof(f243,plain,
    ( ~ ssList(sk3)
    | nil != nil
    | ~ ssList(sk5)
    | nil = sk3
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f223,f212]) ).

fof(f212,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f223,plain,
    ( nil != sk4
    | ~ ssList(sk5)
    | ~ ssList(sk3)
    | nil = sk3 ),
    inference(superposition,[],[f118,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f220,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f196,f211,f215]) ).

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

fof(f219,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f205,f215,f211]) ).

fof(f205,plain,
    ( nil = sk3
    | nil = sk4 ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

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

fof(f197,axiom,
    ( nil = sk2
    | nil = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f218,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f202,f215,f211]) ).

fof(f202,plain,
    ( nil != sk3
    | nil != sk4 ),
    inference(definition_unfolding,[],[f200,f191,f190]) ).

fof(f200,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SWC032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13  % 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 : n012.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 17:58:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (6183)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  % (6199)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  % (6183)Instruction limit reached!
% 0.19/0.51  % (6183)------------------------------
% 0.19/0.51  % (6183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (6183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (6183)Termination reason: Unknown
% 0.19/0.51  % (6183)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (6183)Memory used [KB]: 1407
% 0.19/0.51  % (6183)Time elapsed: 0.005 s
% 0.19/0.51  % (6183)Instructions burned: 3 (million)
% 0.19/0.51  % (6183)------------------------------
% 0.19/0.51  % (6183)------------------------------
% 0.19/0.51  % (6181)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52  % (6191)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)
% 1.32/0.52  % (6191)First to succeed.
% 1.32/0.52  % (6191)Refutation found. Thanks to Tanya!
% 1.32/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.32/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.52  % (6191)------------------------------
% 1.32/0.52  % (6191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (6191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (6191)Termination reason: Refutation
% 1.32/0.52  
% 1.32/0.52  % (6191)Memory used [KB]: 6012
% 1.32/0.52  % (6191)Time elapsed: 0.108 s
% 1.32/0.52  % (6191)Instructions burned: 3 (million)
% 1.32/0.52  % (6191)------------------------------
% 1.32/0.52  % (6191)------------------------------
% 1.32/0.52  % (6169)Success in time 0.171 s
%------------------------------------------------------------------------------