%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC007-1 : 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 : n026.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 18:38:10 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   46 (  21 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   57 (  33   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f270,plain,
    $false,
    inference(subsumption_resolution,[],[f269,f189]) ).

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

fof(f269,plain,
    ~ ssList(sk4),
    inference(trivial_inequality_removal,[],[f268]) ).

fof(f268,plain,
    ( sk4 != sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f252,f210]) ).

fof(f210,plain,
    sk4 = app(sk4,sk3),
    inference(resolution,[],[f195,f189]) ).

fof(f195,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,sk3) = X0 ),
    inference(definition_unfolding,[],[f73,f190]) ).

fof(f190,axiom,
    nil = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f252,plain,
    ! [X4] :
      ( sk4 != app(X4,sk3)
      | ~ ssList(X4) ),
    inference(forward_subsumption_demodulation,[],[f251,f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(sk3,X0) = X0 ),
    inference(definition_unfolding,[],[f74,f190]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f251,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | sk4 != app(app(sk3,X4),sk3) ),
    inference(subsumption_resolution,[],[f247,f200]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f192]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f247,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | ~ ssList(sk3)
      | sk4 != app(app(sk3,X4),sk3) ),
    inference(trivial_inequality_removal,[],[f246]) ).

fof(f246,plain,
    ! [X4] :
      ( sk3 != sk3
      | sk4 != app(app(sk3,X4),sk3)
      | ~ ssList(sk3)
      | ~ ssList(X4) ),
    inference(duplicate_literal_removal,[],[f242]) ).

fof(f242,plain,
    ! [X4] :
      ( ~ ssList(sk3)
      | ~ ssList(sk3)
      | ~ ssList(X4)
      | sk4 != app(app(sk3,X4),sk3)
      | sk3 != sk3 ),
    inference(superposition,[],[f199,f208]) ).

fof(f208,plain,
    sk3 = app(sk3,sk3),
    inference(resolution,[],[f194,f200]) ).

fof(f199,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(X6,X8)
      | sk4 != app(app(X6,X7),X8)
      | ~ ssList(X6)
      | ~ ssList(X8)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f193,f191,f192]) ).

fof(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( ~ ssList(X6)
      | sk2 != app(app(X6,X7),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk1 != app(X6,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC007-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.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 18:08:06 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (15476)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.50  % (15500)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.50  % (15502)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)
% 0.20/0.51  % (15485)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (15491)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (15497)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51  % (15483)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (15475)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (15483)Instruction limit reached!
% 0.20/0.51  % (15483)------------------------------
% 0.20/0.51  % (15483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (15483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (15483)Termination reason: Unknown
% 0.20/0.51  % (15483)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (15483)Memory used [KB]: 1535
% 0.20/0.51  % (15483)Time elapsed: 0.005 s
% 0.20/0.51  % (15483)Instructions burned: 4 (million)
% 0.20/0.51  % (15483)------------------------------
% 0.20/0.51  % (15483)------------------------------
% 0.20/0.51  % (15491)Instruction limit reached!
% 0.20/0.51  % (15491)------------------------------
% 0.20/0.51  % (15491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (15491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (15491)Termination reason: Unknown
% 0.20/0.51  % (15491)Termination phase: Function definition elimination
% 0.20/0.51  
% 0.20/0.51  % (15491)Memory used [KB]: 1407
% 0.20/0.51  % (15491)Time elapsed: 0.003 s
% 0.20/0.51  % (15491)Instructions burned: 2 (million)
% 0.20/0.51  % (15491)------------------------------
% 0.20/0.51  % (15491)------------------------------
% 0.20/0.52  % (15490)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)
% 0.20/0.52  % (15502)First to succeed.
% 0.20/0.52  % (15489)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)
% 0.20/0.52  % (15502)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (15502)------------------------------
% 0.20/0.52  % (15502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (15502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (15502)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (15502)Memory used [KB]: 6012
% 0.20/0.52  % (15502)Time elapsed: 0.124 s
% 0.20/0.52  % (15502)Instructions burned: 6 (million)
% 0.20/0.52  % (15502)------------------------------
% 0.20/0.52  % (15502)------------------------------
% 0.20/0.52  % (15474)Success in time 0.174 s
%------------------------------------------------------------------------------