%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC054-1 : 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 : n028.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 18:41:25 EDT 2022

% Result   : Unsatisfiable 0.16s 0.49s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   47 (  11 unt;   0 def)
%            Number of atoms       :  104 (  29 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  117 (  60   ~;  57   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f276,plain,
    $false,
    inference(subsumption_resolution,[],[f275,f268]) ).

fof(f268,plain,
    neq(nil,nil),
    inference(trivial_inequality_removal,[],[f265]) ).

fof(f265,plain,
    ( neq(nil,nil)
    | nil != nil ),
    inference(backward_demodulation,[],[f254,f262]) ).

fof(f262,plain,
    nil = sk1,
    inference(trivial_inequality_removal,[],[f261]) ).

fof(f261,plain,
    ( nil = sk1
    | nil != nil ),
    inference(superposition,[],[f232,f253]) ).

fof(f253,plain,
    nil = sk4,
    inference(backward_demodulation,[],[f190,f251]) ).

fof(f251,plain,
    nil = sk2,
    inference(subsumption_resolution,[],[f250,f197]) ).

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

fof(f250,plain,
    ( ~ neq(sk2,nil)
    | nil = sk2 ),
    inference(resolution,[],[f249,f237]) ).

fof(f237,plain,
    ( neq(sk5,nil)
    | ~ neq(sk2,nil) ),
    inference(backward_demodulation,[],[f194,f190]) ).

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

fof(f249,plain,
    ( ~ neq(sk5,nil)
    | nil = sk2 ),
    inference(subsumption_resolution,[],[f248,f244]) ).

fof(f244,plain,
    ( segmentP(sk1,sk5)
    | nil = sk2 ),
    inference(resolution,[],[f239,f197]) ).

fof(f239,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk1,sk5) ),
    inference(backward_demodulation,[],[f231,f190]) ).

fof(f231,plain,
    ( ~ neq(sk4,nil)
    | segmentP(sk1,sk5) ),
    inference(forward_demodulation,[],[f196,f191]) ).

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

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk3,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f248,plain,
    ( nil = sk2
    | ~ neq(sk5,nil)
    | ~ segmentP(sk1,sk5) ),
    inference(subsumption_resolution,[],[f247,f242]) ).

fof(f242,plain,
    ( ssList(sk5)
    | nil = sk2 ),
    inference(resolution,[],[f197,f236]) ).

fof(f236,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk5) ),
    inference(backward_demodulation,[],[f193,f190]) ).

fof(f193,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f247,plain,
    ( ~ neq(sk5,nil)
    | nil = sk2
    | ~ ssList(sk5)
    | ~ segmentP(sk1,sk5) ),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f246,plain,
    ( ~ segmentP(sk1,sk5)
    | nil = sk2
    | ~ neq(sk5,nil)
    | nil = sk2
    | ~ ssList(sk5) ),
    inference(resolution,[],[f198,f245]) ).

fof(f245,plain,
    ( segmentP(sk2,sk5)
    | nil = sk2 ),
    inference(resolution,[],[f240,f197]) ).

fof(f240,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk2,sk5) ),
    inference(forward_demodulation,[],[f238,f190]) ).

fof(f238,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk4,sk5) ),
    inference(backward_demodulation,[],[f195,f190]) ).

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

fof(f198,axiom,
    ! [X6] :
      ( ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ segmentP(sk1,X6)
      | ~ ssList(X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

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

fof(f232,plain,
    ( nil != sk4
    | nil = sk1 ),
    inference(forward_demodulation,[],[f192,f191]) ).

fof(f192,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f254,plain,
    ( neq(nil,nil)
    | nil != sk1 ),
    inference(backward_demodulation,[],[f199,f251]) ).

fof(f199,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f275,plain,
    ~ neq(nil,nil),
    inference(resolution,[],[f274,f257]) ).

fof(f257,plain,
    ( neq(sk5,nil)
    | ~ neq(nil,nil) ),
    inference(backward_demodulation,[],[f237,f251]) ).

fof(f274,plain,
    ~ neq(sk5,nil),
    inference(subsumption_resolution,[],[f273,f271]) ).

fof(f271,plain,
    ssList(sk5),
    inference(resolution,[],[f256,f268]) ).

fof(f256,plain,
    ( ~ neq(nil,nil)
    | ssList(sk5) ),
    inference(backward_demodulation,[],[f236,f251]) ).

fof(f273,plain,
    ( ~ ssList(sk5)
    | ~ neq(sk5,nil) ),
    inference(resolution,[],[f270,f272]) ).

fof(f272,plain,
    segmentP(nil,sk5),
    inference(resolution,[],[f260,f268]) ).

fof(f260,plain,
    ( ~ neq(nil,nil)
    | segmentP(nil,sk5) ),
    inference(forward_demodulation,[],[f259,f251]) ).

fof(f259,plain,
    ( segmentP(nil,sk5)
    | ~ neq(sk2,nil) ),
    inference(backward_demodulation,[],[f240,f251]) ).

fof(f270,plain,
    ! [X6] :
      ( ~ segmentP(nil,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f269,f262]) ).

fof(f269,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | nil != sk1
      | ~ neq(X6,nil)
      | ~ segmentP(nil,X6) ),
    inference(duplicate_literal_removal,[],[f266]) ).

fof(f266,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | nil != sk1
      | ~ segmentP(nil,X6)
      | ~ segmentP(nil,X6)
      | ~ neq(X6,nil) ),
    inference(backward_demodulation,[],[f255,f262]) ).

fof(f255,plain,
    ! [X6] :
      ( nil != sk1
      | ~ segmentP(nil,X6)
      | ~ ssList(X6)
      | ~ neq(X6,nil)
      | ~ segmentP(sk1,X6) ),
    inference(backward_demodulation,[],[f200,f251]) ).

fof(f200,axiom,
    ! [X6] :
      ( nil != sk1
      | ~ ssList(X6)
      | ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWC054-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 18:12:18 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.46  % (11962)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)
% 0.16/0.47  % (11963)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.48  % (11963)First to succeed.
% 0.16/0.49  % (11955)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49  % (11970)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)
% 0.16/0.49  % (11954)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)
% 0.16/0.49  % (11955)Instruction limit reached!
% 0.16/0.49  % (11955)------------------------------
% 0.16/0.49  % (11955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (11963)Refutation found. Thanks to Tanya!
% 0.16/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (11963)------------------------------
% 0.16/0.50  % (11963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (11963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (11963)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (11963)Memory used [KB]: 1279
% 0.16/0.50  % (11963)Time elapsed: 0.104 s
% 0.16/0.50  % (11963)Instructions burned: 11 (million)
% 0.16/0.50  % (11963)------------------------------
% 0.16/0.50  % (11963)------------------------------
% 0.16/0.50  % (11947)Success in time 0.176 s
%------------------------------------------------------------------------------