TSTP Solution File: SWC189-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC189-1 : 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_sat --cores 0 -t %d %s

% Computer : n008.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 18:42:17 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   36 (  13 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   41 (  21   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f240,plain,
    $false,
    inference(subsumption_resolution,[],[f239,f198]) ).

fof(f198,axiom,
    sk5 != sk6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f239,plain,
    sk5 = sk6,
    inference(subsumption_resolution,[],[f238,f196]) ).

fof(f196,axiom,
    ssList(sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f238,plain,
    ( ~ ssList(sk8)
    | sk5 = sk6 ),
    inference(subsumption_resolution,[],[f237,f193]) ).

fof(f193,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f237,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk8)
    | sk5 = sk6 ),
    inference(subsumption_resolution,[],[f236,f195]) ).

fof(f195,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f236,plain,
    ( ~ ssList(sk7)
    | ~ ssItem(sk5)
    | ~ ssList(sk8)
    | sk5 = sk6 ),
    inference(subsumption_resolution,[],[f235,f194]) ).

fof(f194,axiom,
    ssItem(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f235,plain,
    ( ~ ssItem(sk6)
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssItem(sk5)
    | sk5 = sk6 ),
    inference(trivial_inequality_removal,[],[f234]) ).

fof(f234,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk8)
    | sk5 = sk6
    | sk3 != sk3
    | ~ ssItem(sk6)
    | ~ ssList(sk7) ),
    inference(superposition,[],[f192,f200]) ).

fof(f200,plain,
    sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    inference(definition_unfolding,[],[f197,f191]) ).

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

fof(f197,axiom,
    sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f192,axiom,
    ! [X8,X6,X9,X7] :
      ( sk3 != app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9)
      | X6 = X7
      | ~ ssList(X9)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ ssList(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC189-1 : 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_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 18:36:10 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (10019)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (10026)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50  % (10011)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (10011)First to succeed.
% 0.20/0.51  % (10034)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51  % (10014)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52  % (10011)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (10011)------------------------------
% 0.20/0.52  % (10011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (10011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (10011)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (10011)Memory used [KB]: 1151
% 0.20/0.52  % (10011)Time elapsed: 0.119 s
% 0.20/0.52  % (10011)Instructions burned: 10 (million)
% 0.20/0.52  % (10011)------------------------------
% 0.20/0.52  % (10011)------------------------------
% 0.20/0.52  % (10003)Success in time 0.175 s
%------------------------------------------------------------------------------