TSTP Solution File: SWV071+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV071+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 18:55:24 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   55 (  17   ~;  12   |;  20   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f517,plain,
    $false,
    inference(avatar_sat_refutation,[],[f512,f513,f514,f515,f516]) ).

fof(f516,plain,
    spl61_4,
    inference(avatar_split_clause,[],[f325,f509]) ).

fof(f509,plain,
    ( spl61_4
  <=> leq(n0,pv21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_4])]) ).

fof(f325,plain,
    leq(n0,pv21),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( leq(n0,pv23)
    & leq(n0,pv21)
    & leq(pv21,minus(n5,n1))
    & leq(pv23,minus(n135300,n1))
    & ( ~ leq(n0,pv21)
      | ~ leq(pv21,minus(n5,n1))
      | ~ leq(n0,pv23)
      | ~ leq(pv23,minus(n135300,n1)) ) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ( ( ~ leq(n0,pv21)
      | ~ leq(pv21,minus(n5,n1))
      | ~ leq(n0,pv23)
      | ~ leq(pv23,minus(n135300,n1)) )
    & leq(n0,pv21)
    & leq(pv23,minus(n135300,n1))
    & leq(n0,pv23)
    & leq(pv21,minus(n5,n1)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv21)
        & leq(pv23,minus(n135300,n1))
        & leq(n0,pv23)
        & leq(pv21,minus(n5,n1)) )
     => ( leq(pv21,minus(n5,n1))
        & leq(pv23,minus(n135300,n1))
        & leq(n0,pv23)
        & leq(n0,pv21) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(n0,pv21)
      & leq(pv23,minus(n135300,n1))
      & leq(n0,pv23)
      & leq(pv21,minus(n5,n1)) )
   => ( leq(pv21,minus(n5,n1))
      & leq(pv23,minus(n135300,n1))
      & leq(n0,pv23)
      & leq(n0,pv21) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0012) ).

fof(f515,plain,
    spl61_1,
    inference(avatar_split_clause,[],[f324,f497]) ).

fof(f497,plain,
    ( spl61_1
  <=> leq(pv21,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_1])]) ).

fof(f324,plain,
    leq(pv21,minus(n5,n1)),
    inference(cnf_transformation,[],[f149]) ).

fof(f514,plain,
    spl61_2,
    inference(avatar_split_clause,[],[f323,f501]) ).

fof(f501,plain,
    ( spl61_2
  <=> leq(pv23,minus(n135300,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_2])]) ).

fof(f323,plain,
    leq(pv23,minus(n135300,n1)),
    inference(cnf_transformation,[],[f149]) ).

fof(f513,plain,
    spl61_3,
    inference(avatar_split_clause,[],[f326,f505]) ).

fof(f505,plain,
    ( spl61_3
  <=> leq(n0,pv23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_3])]) ).

fof(f326,plain,
    leq(n0,pv23),
    inference(cnf_transformation,[],[f149]) ).

fof(f512,plain,
    ( ~ spl61_1
    | ~ spl61_2
    | ~ spl61_3
    | ~ spl61_4 ),
    inference(avatar_split_clause,[],[f322,f509,f505,f501,f497]) ).

fof(f322,plain,
    ( ~ leq(n0,pv21)
    | ~ leq(n0,pv23)
    | ~ leq(pv23,minus(n135300,n1))
    | ~ leq(pv21,minus(n5,n1)) ),
    inference(cnf_transformation,[],[f149]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV071+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:51:44 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (10847)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (10845)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (10860)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)
% 0.19/0.51  % (10852)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)
% 0.19/0.51  % (10846)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (10848)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (10850)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (10858)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)
% 0.19/0.51  % (10863)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (10856)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (10840)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (10843)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52  % (10844)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)
% 0.19/0.52  % (10865)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52  % (10838)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  % (10842)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (10841)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (10843)First to succeed.
% 0.19/0.52  % (10839)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)
% 0.19/0.52  % (10860)Also succeeded, but the first one will report.
% 0.19/0.53  % (10867)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53  % (10843)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (10843)------------------------------
% 0.19/0.53  % (10843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (10843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (10843)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (10843)Memory used [KB]: 5756
% 0.19/0.53  % (10843)Time elapsed: 0.138 s
% 0.19/0.53  % (10843)Instructions burned: 14 (million)
% 0.19/0.53  % (10843)------------------------------
% 0.19/0.53  % (10843)------------------------------
% 0.19/0.53  % (10837)Success in time 0.183 s
%------------------------------------------------------------------------------