%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM840+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 : 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 18:02:32 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   36 (  10 unt;   0 def)
%            Number of atoms       :   65 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   60 (  31   ~;  25   |;   0   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f222,plain,
    $false,
    inference(avatar_sat_refutation,[],[f134,f213,f220]) ).

fof(f220,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f219]) ).

fof(f219,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f214,f123]) ).

fof(f123,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | X0 != X1 ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X7,X8] :
      ( X7 != X8
      | ~ less(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).

fof(f214,plain,
    ( less(vplus(vd328,vd330),vplus(vd328,vd330))
    | ~ spl4_1 ),
    inference(backward_demodulation,[],[f89,f129]) ).

fof(f129,plain,
    ( vd328 = vd329
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl4_1
  <=> vd328 = vd329 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f89,plain,
    less(vplus(vd328,vd330),vplus(vd329,vd330)),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    less(vplus(vd328,vd330),vplus(vd329,vd330)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).

fof(f213,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f202]) ).

fof(f202,plain,
    ( $false
    | ~ spl4_2 ),
    inference(resolution,[],[f147,f89]) ).

fof(f147,plain,
    ( ! [X2] : ~ less(vplus(vd328,X2),vplus(vd329,X2))
    | ~ spl4_2 ),
    inference(resolution,[],[f135,f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | ~ less(X1,X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X8,X7] :
      ( ~ greater(X7,X8)
      | ~ less(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

fof(f135,plain,
    ( ! [X0] : greater(vplus(vd328,X0),vplus(vd329,X0))
    | ~ spl4_2 ),
    inference(resolution,[],[f133,f111]) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X2,X0)
      | greater(vplus(X2,X1),vplus(X0,X1)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( greater(vplus(X2,X1),vplus(X0,X1))
      | ~ greater(X2,X0) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X0,X2,X1] :
      ( greater(vplus(X1,X2),vplus(X0,X2))
      | ~ greater(X1,X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( greater(X1,X0)
     => greater(vplus(X1,X2),vplus(X0,X2)) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0,X2] :
      ( greater(X0,X1)
     => greater(vplus(X0,X2),vplus(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).

fof(f133,plain,
    ( greater(vd328,vd329)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl4_2
  <=> greater(vd328,vd329) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f134,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f125,f131,f127]) ).

fof(f125,plain,
    ( greater(vd328,vd329)
    | vd328 = vd329 ),
    inference(resolution,[],[f94,f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | X0 = X1
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( X0 = X1
      | less(X1,X0)
      | greater(X1,X0) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X8,X7] :
      ( greater(X7,X8)
      | less(X7,X8)
      | X7 = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof(f94,plain,
    ~ less(vd328,vd329),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ~ less(vd328,vd329),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ less(vd328,vd329),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    less(vd328,vd329),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM840+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 08:25:35 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (31758)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (31750)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (31757)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52  % (31757)Refutation not found, incomplete strategy% (31757)------------------------------
% 0.20/0.52  % (31757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (31757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (31757)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (31757)Memory used [KB]: 1535
% 0.20/0.52  % (31757)Time elapsed: 0.130 s
% 0.20/0.52  % (31757)Instructions burned: 2 (million)
% 0.20/0.52  % (31757)------------------------------
% 0.20/0.52  % (31757)------------------------------
% 0.20/0.53  % (31750)First to succeed.
% 0.20/0.53  % (31749)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (31742)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54  % (31741)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)
% 0.20/0.55  % (31742)Also succeeded, but the first one will report.
% 0.20/0.55  % (31750)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Theorem for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (31750)------------------------------
% 0.20/0.55  % (31750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (31750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (31750)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (31750)Memory used [KB]: 6140
% 0.20/0.55  % (31750)Time elapsed: 0.131 s
% 0.20/0.55  % (31750)Instructions burned: 6 (million)
% 0.20/0.55  % (31750)------------------------------
% 0.20/0.55  % (31750)------------------------------
% 0.20/0.55  % (31733)Success in time 0.188 s
%------------------------------------------------------------------------------