%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC042-1 : 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 : n019.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 18:41:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (  14 unt;   0 def)
%            Number of atoms       :   35 (  21 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f329,plain,
    $false,
    inference(subsumption_resolution,[],[f327,f202]) ).

fof(f202,plain,
    sk3 != sk4,
    inference(definition_unfolding,[],[f193,f199,f192]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

fof(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

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

fof(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f327,plain,
    sk3 = sk4,
    inference(backward_demodulation,[],[f290,f325]) ).

fof(f325,plain,
    sk4 = app(sk3,sk4),
    inference(backward_demodulation,[],[f195,f322]) ).

fof(f322,plain,
    sk4 = sk5,
    inference(subsumption_resolution,[],[f321,f188]) ).

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

fof(f321,plain,
    ( sk4 = sk5
    | ~ ssList(sk3) ),
    inference(subsumption_resolution,[],[f320,f194]) ).

fof(f194,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f320,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk3)
    | sk4 = sk5 ),
    inference(trivial_inequality_removal,[],[f314]) ).

fof(f314,plain,
    ( sk4 = sk5
    | sk4 != sk4
    | ~ ssList(sk3)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f225,f195]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( app(X0,X1) != sk4
      | sk4 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f119,f199,f199]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | nil = X1
      | nil != app(X0,X1)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f195,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f290,plain,
    sk3 = app(sk3,sk4),
    inference(resolution,[],[f249,f188]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,sk4) = X0 ),
    inference(definition_unfolding,[],[f73,f199]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC042-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:16:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (26103)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.50  % (26095)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (26087)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (26103)First to succeed.
% 0.20/0.52  % (26103)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  % (26103)------------------------------
% 0.20/0.52  % (26103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26103)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (26103)Memory used [KB]: 1279
% 0.20/0.52  % (26103)Time elapsed: 0.068 s
% 0.20/0.52  % (26103)Instructions burned: 9 (million)
% 0.20/0.52  % (26103)------------------------------
% 0.20/0.52  % (26103)------------------------------
% 0.20/0.52  % (26080)Success in time 0.165 s
%------------------------------------------------------------------------------