%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC096-1 : 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 : n010.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 0.20s 0.60s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   43 (  18 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   47 (  26   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f257,plain,
    $false,
    inference(subsumption_resolution,[],[f256,f249]) ).

fof(f249,plain,
    sk4 = app(sk6,sk3),
    inference(forward_demodulation,[],[f248,f247]) ).

fof(f247,plain,
    sk3 = cons(sk5,nil),
    inference(subsumption_resolution,[],[f202,f240]) ).

fof(f240,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f209,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(f202,axiom,
    ( sk3 = cons(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

fof(f248,plain,
    sk4 = app(sk6,cons(sk5,nil)),
    inference(subsumption_resolution,[],[f203,f240]) ).

fof(f203,axiom,
    ( sk4 = app(sk6,cons(sk5,nil))
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

fof(f256,plain,
    sk4 != app(sk6,sk3),
    inference(resolution,[],[f253,f246]) ).

fof(f246,plain,
    ssList(sk6),
    inference(subsumption_resolution,[],[f201,f240]) ).

fof(f201,axiom,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f253,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | sk4 != app(X0,sk3) ),
    inference(forward_demodulation,[],[f252,f247]) ).

fof(f252,plain,
    ! [X0] :
      ( sk4 != app(X0,cons(sk5,nil))
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f251,f247]) ).

fof(f251,plain,
    ! [X0] :
      ( sk4 != app(X0,cons(sk5,nil))
      | ~ ssList(X0)
      | sk3 != cons(sk5,nil) ),
    inference(resolution,[],[f250,f245]) ).

fof(f245,plain,
    ssItem(sk5),
    inference(subsumption_resolution,[],[f200,f240]) ).

fof(f200,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f250,plain,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | ~ ssList(X7)
      | sk4 != app(X7,cons(X6,nil))
      | sk3 != cons(X6,nil) ),
    inference(subsumption_resolution,[],[f207,f240]) ).

fof(f207,plain,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | sk4 != app(X7,cons(X6,nil))
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | sk3 != cons(X6,nil) ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

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

fof(f199,axiom,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | sk1 != cons(X6,nil)
      | ~ ssItem(X6)
      | ~ ssList(X7)
      | sk2 != app(X7,cons(X6,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SWC096-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13  % 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 : n010.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 18:06:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.57  % (7052)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57  % (7059)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)
% 0.20/0.57  % (7068)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.58  % (7051)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)
% 0.20/0.58  % (7060)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)
% 0.20/0.58  % (7067)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)
% 0.20/0.59  % (7070)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.59  % (7046)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)
% 0.20/0.59  % (7069)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.59  % (7063)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.59  % (7067)First to succeed.
% 0.20/0.59  % (7066)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.60  % (7065)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)
% 0.20/0.60  % (7067)Refutation found. Thanks to Tanya!
% 0.20/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60  % (7067)------------------------------
% 0.20/0.60  % (7067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (7067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (7067)Termination reason: Refutation
% 0.20/0.60  
% 0.20/0.60  % (7067)Memory used [KB]: 1151
% 0.20/0.60  % (7067)Time elapsed: 0.157 s
% 0.20/0.60  % (7067)Instructions burned: 6 (million)
% 0.20/0.60  % (7067)------------------------------
% 0.20/0.60  % (7067)------------------------------
% 0.20/0.60  % (7044)Success in time 0.242 s
%------------------------------------------------------------------------------