%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC380-1 : 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_uns --cores 0 -t %d %s

% Computer : n017.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 18:40:49 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   63 (  17 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   66 (  35   ~;  31   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f434,plain,
    $false,
    inference(subsumption_resolution,[],[f433,f299]) ).

fof(f299,plain,
    ~ memberP(sk4,sk5),
    inference(subsumption_resolution,[],[f298,f225]) ).

fof(f225,plain,
    ssItem(sk5),
    inference(subsumption_resolution,[],[f200,f224]) ).

fof(f224,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/sandbox/benchmark/theBenchmark.p',co1_5) ).

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

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

fof(f298,plain,
    ( ~ memberP(sk4,sk5)
    | ~ ssItem(sk5) ),
    inference(trivial_inequality_removal,[],[f297]) ).

fof(f297,plain,
    ( sk3 != sk3
    | ~ memberP(sk4,sk5)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f229,f227]) ).

fof(f227,plain,
    sk3 = cons(sk5,nil),
    inference(subsumption_resolution,[],[f202,f224]) ).

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

fof(f229,plain,
    ! [X6] :
      ( sk3 != cons(X6,nil)
      | ~ ssItem(X6)
      | ~ memberP(sk4,X6) ),
    inference(subsumption_resolution,[],[f205,f224]) ).

fof(f205,plain,
    ! [X6] :
      ( ~ memberP(sk4,X6)
      | ~ neq(sk4,nil)
      | sk3 != cons(X6,nil)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

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

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

fof(f433,plain,
    memberP(sk4,sk5),
    inference(backward_demodulation,[],[f346,f432]) ).

fof(f432,plain,
    sk4 = cons(sk5,sk6),
    inference(forward_demodulation,[],[f417,f228]) ).

fof(f228,plain,
    sk4 = app(sk3,sk6),
    inference(backward_demodulation,[],[f226,f227]) ).

fof(f226,plain,
    sk4 = app(cons(sk5,nil),sk6),
    inference(subsumption_resolution,[],[f203,f224]) ).

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

fof(f417,plain,
    cons(sk5,sk6) = app(sk3,sk6),
    inference(resolution,[],[f243,f244]) ).

fof(f244,plain,
    ssList(sk6),
    inference(resolution,[],[f201,f224]) ).

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

fof(f243,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | cons(sk5,X4) = app(sk3,X4) ),
    inference(forward_demodulation,[],[f241,f227]) ).

fof(f241,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | cons(sk5,X4) = app(cons(sk5,nil),X4) ),
    inference(resolution,[],[f225,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f346,plain,
    memberP(cons(sk5,sk6),sk5),
    inference(resolution,[],[f242,f244]) ).

fof(f242,plain,
    ! [X5] :
      ( ~ ssList(X5)
      | memberP(cons(sk5,X5),sk5) ),
    inference(resolution,[],[f225,f221]) ).

fof(f221,plain,
    ! [X2,X1] :
      ( ~ ssItem(X1)
      | memberP(cons(X1,X2),X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f219]) ).

fof(f219,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | X0 != X1
      | memberP(cons(X1,X2),X0)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC380-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n017.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 18:15:50 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.51  % (19150)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.52  % (19134)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.52  % (19137)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.52  % (19126)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.53  % (19123)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53  % (19129)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.53  % (19128)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53  % (19141)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.53  % (19149)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.53  % (19127)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.54  % (19146)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54  % (19138)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54  % (19143)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54  % (19125)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.54  % (19150)First to succeed.
% 0.21/0.54  % (19150)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (19150)------------------------------
% 0.21/0.54  % (19150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (19150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (19150)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (19150)Memory used [KB]: 1663
% 0.21/0.54  % (19150)Time elapsed: 0.123 s
% 0.21/0.54  % (19150)Instructions burned: 10 (million)
% 0.21/0.54  % (19150)------------------------------
% 0.21/0.54  % (19150)------------------------------
% 0.21/0.54  % (19122)Success in time 0.193 s
%------------------------------------------------------------------------------