TSTP Solution File: SWV077+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV077+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 : 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 18:55:25 EDT 2022

% Result   : Theorem 0.14s 0.45s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   75 (  14 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   84 (  33   ~;  23   |;  18   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f433,plain,
    $false,
    inference(avatar_sat_refutation,[],[f416,f417,f425,f429,f432]) ).

fof(f432,plain,
    spl31_1,
    inference(avatar_split_clause,[],[f397,f402]) ).

fof(f402,plain,
    ( spl31_1
  <=> leq(pv31,sF30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).

fof(f397,plain,
    leq(pv31,sF30),
    inference(definition_folding,[],[f184,f396]) ).

fof(f396,plain,
    minus(n5,n1) = sF30,
    introduced(function_definition,[]) ).

fof(f184,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( leq(pv31,minus(n5,n1))
    & leq(n0,pv31)
    & ( ~ leq(pv31,minus(n5,n1))
      | ( ~ true
        & n0 = pv40 )
      | ~ leq(n0,pv31)
      | ( ( ~ leq(pv31,minus(n5,n1))
          | ~ leq(n0,pv31) )
        & n0 != pv40 ) ) ),
    inference(flattening,[],[f149]) ).

fof(f149,plain,
    ( ( ~ leq(pv31,minus(n5,n1))
      | ( ~ true
        & n0 = pv40 )
      | ~ leq(n0,pv31)
      | ( ( ~ leq(pv31,minus(n5,n1))
          | ~ leq(n0,pv31) )
        & n0 != pv40 ) )
    & leq(pv31,minus(n5,n1))
    & leq(n0,pv31) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv31,minus(n5,n1))
        & leq(n0,pv31) )
     => ( leq(pv31,minus(n5,n1))
        & leq(n0,pv31)
        & ( n0 = pv40
         => true )
        & ( n0 != pv40
         => ( leq(n0,pv31)
            & leq(pv31,minus(n5,n1)) ) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv31,minus(n5,n1))
      & leq(n0,pv31) )
   => ( leq(pv31,minus(n5,n1))
      & leq(n0,pv31)
      & ( n0 = pv40
       => true )
      & ( n0 != pv40
       => ( leq(n0,pv31)
          & leq(pv31,minus(n5,n1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0018) ).

fof(f429,plain,
    ( ~ spl31_1
    | ~ spl31_2
    | spl31_4 ),
    inference(avatar_split_clause,[],[f399,f422,f406,f402]) ).

fof(f406,plain,
    ( spl31_2
  <=> leq(n0,pv31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).

fof(f422,plain,
    ( spl31_4
  <=> n0 = pv40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).

fof(f399,plain,
    ( n0 = pv40
    | ~ leq(n0,pv31)
    | ~ leq(pv31,sF30) ),
    inference(definition_folding,[],[f181,f396]) ).

fof(f181,plain,
    ( ~ leq(n0,pv31)
    | n0 = pv40
    | ~ leq(pv31,minus(n5,n1)) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f425,plain,
    ( ~ spl31_2
    | ~ spl31_1
    | ~ spl31_4
    | ~ spl31_3 ),
    inference(avatar_split_clause,[],[f398,f410,f422,f402,f406]) ).

fof(f410,plain,
    ( spl31_3
  <=> true ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).

fof(f398,plain,
    ( ~ true
    | n0 != pv40
    | ~ leq(pv31,sF30)
    | ~ leq(n0,pv31) ),
    inference(definition_folding,[],[f182,f396]) ).

fof(f182,plain,
    ( n0 != pv40
    | ~ leq(n0,pv31)
    | ~ true
    | ~ leq(pv31,minus(n5,n1)) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f417,plain,
    spl31_2,
    inference(avatar_split_clause,[],[f183,f406]) ).

fof(f183,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f150]) ).

fof(f416,plain,
    spl31_3,
    inference(avatar_split_clause,[],[f207,f410]) ).

fof(f207,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.28  % Computer : n026.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Tue Aug 30 19:13:51 EDT 2022
% 0.09/0.29  % CPUTime    : 
% 0.14/0.41  % (30694)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.14/0.41  % (30672)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)
% 0.14/0.42  % (30671)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)
% 0.14/0.42  % (30670)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)
% 0.14/0.43  % (30675)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)
% 0.14/0.43  % (30688)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.43  % (30672)First to succeed.
% 0.14/0.43  % (30698)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)
% 0.14/0.43  % (30677)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.43  % (30677)Instruction limit reached!
% 0.14/0.43  % (30677)------------------------------
% 0.14/0.43  % (30677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.43  % (30677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.43  % (30677)Termination reason: Unknown
% 0.14/0.43  % (30677)Termination phase: Preprocessing 1
% 0.14/0.43  
% 0.14/0.43  % (30677)Memory used [KB]: 895
% 0.14/0.43  % (30677)Time elapsed: 0.002 s
% 0.14/0.43  % (30677)Instructions burned: 2 (million)
% 0.14/0.43  % (30677)------------------------------
% 0.14/0.43  % (30677)------------------------------
% 0.14/0.44  % (30696)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)
% 0.14/0.44  % (30682)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.44  % (30685)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.44  % (30686)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.44  % (30687)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.45  % (30672)Refutation found. Thanks to Tanya!
% 0.14/0.45  % SZS status Theorem for theBenchmark
% 0.14/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.45  % (30672)------------------------------
% 0.14/0.45  % (30672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.45  % (30672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.45  % (30672)Termination reason: Refutation
% 0.14/0.45  
% 0.14/0.45  % (30672)Memory used [KB]: 5756
% 0.14/0.45  % (30672)Time elapsed: 0.010 s
% 0.14/0.45  % (30672)Instructions burned: 19 (million)
% 0.14/0.45  % (30672)------------------------------
% 0.14/0.45  % (30672)------------------------------
% 0.14/0.45  % (30668)Success in time 0.154 s
%------------------------------------------------------------------------------