%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM853+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : n029.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 18:02:36 EDT 2022

% Result   : Theorem 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   37 (  10 unt;   0 def)
%            Number of atoms       :   68 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   62 (  31   ~;  27   |;   0   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f252,plain,
    $false,
    inference(avatar_sat_refutation,[],[f186,f239,f251]) ).

fof(f251,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f250,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f246,f167]) ).

fof(f167,plain,
    ! [X1] : ~ greater(X1,X1),
    inference(equality_resolution,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ greater(X0,X1) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X1,X0] :
      ( X0 != X1
      | ~ greater(X1,X0) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X34,X33] :
      ( ~ greater(X33,X34)
      | X33 != X34 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).

fof(f246,plain,
    ( greater(vmul(vd486,vd487),vmul(vd486,vd487))
    | ~ spl4_1 ),
    inference(backward_demodulation,[],[f138,f181]) ).

fof(f181,plain,
    ( vd486 = vd488
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl4_1
  <=> vd486 = vd488 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f138,plain,
    greater(vmul(vd486,vd487),vmul(vd488,vd487)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    greater(vmul(vd486,vd487),vmul(vd488,vd487)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(307), 489, 0)') ).

fof(f239,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f225]) ).

fof(f225,plain,
    ( $false
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f138,f191,f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ less(X1,X0) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X1,X0] :
      ( ~ greater(X0,X1)
      | ~ less(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X33,X34] :
      ( ~ greater(X33,X34)
      | ~ less(X33,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

fof(f191,plain,
    ( ! [X0] : less(vmul(vd486,X0),vmul(vd488,X0))
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f185,f142]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( less(vmul(X0,X1),vmul(X2,X1))
      | ~ less(X0,X2) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( ~ less(X0,X2)
      | less(vmul(X0,X1),vmul(X2,X1)) ),
    inference(rectify,[],[f88]) ).

fof(f88,plain,
    ! [X0,X2,X1] :
      ( ~ less(X0,X1)
      | less(vmul(X0,X2),vmul(X1,X2)) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( less(X0,X1)
     => less(vmul(X0,X2),vmul(X1,X2)) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X2,X0] :
      ( less(X1,X2)
     => less(vmul(X1,X0),vmul(X2,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 0)') ).

fof(f185,plain,
    ( less(vd486,vd488)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl4_2
  <=> less(vd486,vd488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f186,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f176,f183,f179]) ).

fof(f176,plain,
    ( less(vd486,vd488)
    | vd486 = vd488 ),
    inference(resolution,[],[f156,f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | X0 = X1
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | X0 = X1
      | greater(X1,X0) ),
    inference(rectify,[],[f64]) ).

fof(f64,plain,
    ! [X1,X0] :
      ( less(X0,X1)
      | X0 = X1
      | greater(X0,X1) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X33,X34] :
      ( X33 = X34
      | less(X33,X34)
      | greater(X33,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof(f156,plain,
    ~ greater(vd486,vd488),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ~ greater(vd486,vd488),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vd486,vd488),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vd486,vd488),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(307), 490, 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM853+2 : TPTP v8.1.0. Released v4.1.0.
% 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
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 09:14:27 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.45  % (20668)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.46  % (20668)First to succeed.
% 0.19/0.46  % (20682)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.46  % (20668)Refutation found. Thanks to Tanya!
% 0.19/0.46  % SZS status Theorem for theBenchmark
% 0.19/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46  % (20668)------------------------------
% 0.19/0.46  % (20668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (20668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (20668)Termination reason: Refutation
% 0.19/0.46  
% 0.19/0.46  % (20668)Memory used [KB]: 6140
% 0.19/0.46  % (20668)Time elapsed: 0.053 s
% 0.19/0.46  % (20668)Instructions burned: 5 (million)
% 0.19/0.46  % (20668)------------------------------
% 0.19/0.46  % (20668)------------------------------
% 0.19/0.46  % (20660)Success in time 0.12 s
%------------------------------------------------------------------------------