%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC386-1 : 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 : n006.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 18:43:31 EDT 2022

% Result   : Unsatisfiable 1.36s 0.54s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (   9 unt;   0 def)
%            Number of atoms       :   59 (  28 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   58 (  28   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f259,plain,
    $false,
    inference(subsumption_resolution,[],[f258,f245]) ).

fof(f245,plain,
    ssList(nil),
    inference(backward_demodulation,[],[f189,f244]) ).

fof(f244,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f243,f194]) ).

fof(f194,axiom,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f243,plain,
    ( sk3 != cons(sk5,nil)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f240,f192]) ).

fof(f192,axiom,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f240,plain,
    ( nil = sk4
    | ~ ssItem(sk5)
    | sk3 != cons(sk5,nil) ),
    inference(duplicate_literal_removal,[],[f239]) ).

fof(f239,plain,
    ( ~ ssItem(sk5)
    | sk3 != cons(sk5,nil)
    | nil = sk4
    | nil = sk4 ),
    inference(resolution,[],[f202,f195]) ).

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

fof(f202,plain,
    ! [X6] :
      ( ~ memberP(sk4,X6)
      | nil = sk4
      | sk3 != cons(X6,nil)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f199,f190,f191,f190]) ).

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

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

fof(f199,axiom,
    ! [X6] :
      ( nil = sk2
      | ~ ssItem(X6)
      | sk1 != cons(X6,nil)
      | ~ memberP(sk2,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

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

fof(f258,plain,
    ~ ssList(nil),
    inference(resolution,[],[f235,f256]) ).

fof(f256,plain,
    neq(nil,nil),
    inference(trivial_inequality_removal,[],[f253]) ).

fof(f253,plain,
    ( neq(nil,nil)
    | nil != nil ),
    inference(backward_demodulation,[],[f247,f251]) ).

fof(f251,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f250,f193]) ).

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

fof(f250,plain,
    ( ~ ssItem(sk5)
    | nil = sk3 ),
    inference(resolution,[],[f71,f246]) ).

fof(f246,plain,
    ( memberP(nil,sk5)
    | nil = sk3 ),
    inference(backward_demodulation,[],[f197,f244]) ).

fof(f197,axiom,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f247,plain,
    ( neq(nil,nil)
    | nil != sk3 ),
    inference(backward_demodulation,[],[f206,f244]) ).

fof(f206,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f190,f191]) ).

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

fof(f235,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f217]) ).

fof(f217,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | ~ ssList(X0)
      | X0 != X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC386-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % 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 : n006.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 18:51:40 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.51  % (16314)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)
% 0.21/0.51  % (16322)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)
% 0.21/0.52  % (16306)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)
% 0.21/0.53  TRYING [1]
% 1.36/0.53  % (16302)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)
% 1.36/0.53  % (16304)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.53  % (16305)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)
% 1.36/0.53  % (16301)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.53  % (16322)First to succeed.
% 1.36/0.54  % (16322)Refutation found. Thanks to Tanya!
% 1.36/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.36/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.54  % (16322)------------------------------
% 1.36/0.54  % (16322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54  % (16322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54  % (16322)Termination reason: Refutation
% 1.36/0.54  
% 1.36/0.54  % (16322)Memory used [KB]: 1151
% 1.36/0.54  % (16322)Time elapsed: 0.134 s
% 1.36/0.54  % (16322)Instructions burned: 8 (million)
% 1.36/0.54  % (16322)------------------------------
% 1.36/0.54  % (16322)------------------------------
% 1.36/0.54  % (16299)Success in time 0.186 s
%------------------------------------------------------------------------------