%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC097-1 : 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 : n007.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 18:41:43 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   45 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  21   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f361,plain,
    $false,
    inference(subsumption_resolution,[],[f360,f352]) ).

fof(f352,plain,
    ~ ssItem(sk5),
    inference(subsumption_resolution,[],[f321,f249]) ).

fof(f249,plain,
    ( ~ neq(sk4,nil)
    | ~ ssItem(sk5) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

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

fof(f321,plain,
    ( ~ ssItem(sk5)
    | neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f205]) ).

fof(f205,plain,
    ( neq(sk4,nil)
    | ssItem(sk5) ),
    inference(definition_unfolding,[],[f195,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f195,axiom,
    ( ssItem(sk5)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f360,plain,
    ssItem(sk5),
    inference(trivial_inequality_removal,[],[f359]) ).

fof(f359,plain,
    ( ssItem(sk5)
    | sk4 != sk4 ),
    inference(superposition,[],[f356,f357]) ).

fof(f357,plain,
    sk4 = app(sk3,cons(sk5,nil)),
    inference(subsumption_resolution,[],[f199,f346]) ).

fof(f346,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f201,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

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

fof(f356,plain,
    ! [X6] :
      ( sk4 != app(sk3,cons(X6,nil))
      | ssItem(X6) ),
    inference(subsumption_resolution,[],[f252,f338]) ).

fof(f338,plain,
    ! [X6] :
      ( ssItem(X6)
      | sk4 != app(sk3,cons(X6,nil))
      | ~ neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f200,plain,
    ! [X6] :
      ( ~ neq(sk4,nil)
      | ~ ssItem(X6)
      | sk4 != app(sk3,cons(X6,nil)) ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

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

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

fof(f252,plain,
    ! [X6] :
      ( sk4 != app(sk3,cons(X6,nil))
      | neq(sk4,nil)
      | ssItem(X6) ),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f206,plain,
    ! [X6] :
      ( sk4 != app(sk3,cons(X6,nil))
      | neq(sk4,nil)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f194,f190,f191,f190]) ).

fof(f194,axiom,
    ! [X6] :
      ( sk2 != app(sk1,cons(X6,nil))
      | ~ ssItem(X6)
      | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC097-1 : 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
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 17:59:16 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (22872)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.49  % (22864)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.49  % (22856)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50  % (22864)First to succeed.
% 0.21/0.51  % (22871)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  % (22865)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.51  % (22855)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51  % (22849)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (22864)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (22864)------------------------------
% 0.21/0.51  % (22864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (22864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (22864)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (22864)Memory used [KB]: 1279
% 0.21/0.51  % (22864)Time elapsed: 0.113 s
% 0.21/0.51  % (22864)Instructions burned: 9 (million)
% 0.21/0.51  % (22864)------------------------------
% 0.21/0.51  % (22864)------------------------------
% 0.21/0.51  % (22844)Success in time 0.157 s
%------------------------------------------------------------------------------