%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC012-1 : 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 : n027.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 18:41:11 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (  13 unt;   0 def)
%            Number of atoms       :   69 (  17 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   91 (  50   ~;  41   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f309,plain,
    $false,
    inference(resolution,[],[f308,f8]) ).

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

fof(f308,plain,
    ~ ssList(nil),
    inference(resolution,[],[f307,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(f307,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil) ),
    inference(resolution,[],[f306,f238]) ).

fof(f238,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(f306,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(nil)
    | ~ ssList(sk3) ),
    inference(resolution,[],[f305,f198]) ).

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

fof(f305,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk3)
    | ~ ssList(nil) ),
    inference(resolution,[],[f304,f238]) ).

fof(f304,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(trivial_inequality_removal,[],[f303]) ).

fof(f303,plain,
    ( ~ ssList(sk3)
    | ~ ssItem(sk5)
    | ~ neq(sk4,nil)
    | ~ ssList(nil)
    | sk3 != sk3 ),
    inference(forward_demodulation,[],[f302,f268]) ).

fof(f268,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f201]) ).

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

fof(f302,plain,
    ( sk3 != app(sk3,nil)
    | ~ neq(sk4,nil)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(trivial_inequality_removal,[],[f301]) ).

fof(f301,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(sk3)
    | ~ ssItem(sk5)
    | ~ ssList(nil)
    | sk4 != sk4
    | sk3 != app(sk3,nil) ),
    inference(superposition,[],[f300,f269]) ).

fof(f269,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f204]) ).

fof(f204,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f300,plain,
    ! [X0] :
      ( sk4 != app(sk4,X0)
      | sk3 != app(sk3,X0)
      | ~ neq(sk4,nil)
      | ~ ssList(X0)
      | ~ ssList(sk3)
      | ~ ssItem(sk5) ),
    inference(superposition,[],[f205,f239]) ).

fof(f239,plain,
    sk4 = app(sk3,cons(sk5,nil)),
    inference(resolution,[],[f199,f238]) ).

fof(f199,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(sk3,cons(sk5,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f205,plain,
    ! [X8,X6,X7] :
      ( sk4 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ neq(sk4,nil)
      | sk3 != app(X7,X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f197,f191,f190]) ).

fof(f197,axiom,
    ! [X8,X6,X7] :
      ( sk1 != app(X7,X8)
      | ~ ssItem(X6)
      | ~ ssList(X7)
      | sk2 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC012-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.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 18:11:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (26438)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (26447)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  % (26455)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (26434)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)
% 0.19/0.52  % (26438)First to succeed.
% 0.19/0.52  % (26431)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)
% 0.19/0.53  % (26438)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (26438)------------------------------
% 0.19/0.53  % (26438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26438)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (26438)Memory used [KB]: 1279
% 0.19/0.53  % (26438)Time elapsed: 0.112 s
% 0.19/0.53  % (26438)Instructions burned: 13 (million)
% 0.19/0.53  % (26438)------------------------------
% 0.19/0.53  % (26438)------------------------------
% 0.19/0.53  % (26425)Success in time 0.173 s
%------------------------------------------------------------------------------