TSTP Solution File: SWV076+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV076+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_uns --cores 0 -t %d %s

% Computer : n012.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 18:44:04 EDT 2022

% Result   : Theorem 1.30s 0.51s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   33 (   1 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   28 (  11   ~;   5   |;   8   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f430,plain,
    $false,
    inference(avatar_sat_refutation,[],[f427,f428,f429]) ).

fof(f429,plain,
    spl32_1,
    inference(avatar_split_clause,[],[f417,f420]) ).

fof(f420,plain,
    ( spl32_1
  <=> leq(pv31,sF31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).

fof(f417,plain,
    leq(pv31,sF31),
    inference(definition_folding,[],[f353,f416]) ).

fof(f416,plain,
    minus(n5,n1) = sF31,
    introduced(function_definition,[]) ).

fof(f353,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f150]) ).

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

fof(f149,plain,
    ( ( ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1)) )
    & 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(n0,pv31)
        & leq(pv31,minus(n5,n1)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv31,minus(n5,n1))
      & leq(n0,pv31) )
   => ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0017) ).

fof(f428,plain,
    spl32_2,
    inference(avatar_split_clause,[],[f352,f424]) ).

fof(f424,plain,
    ( spl32_2
  <=> leq(n0,pv31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).

fof(f352,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f150]) ).

fof(f427,plain,
    ( ~ spl32_1
    | ~ spl32_2 ),
    inference(avatar_split_clause,[],[f418,f424,f420]) ).

fof(f418,plain,
    ( ~ leq(n0,pv31)
    | ~ leq(pv31,sF31) ),
    inference(definition_folding,[],[f351,f416]) ).

fof(f351,plain,
    ( ~ leq(n0,pv31)
    | ~ leq(pv31,minus(n5,n1)) ),
    inference(cnf_transformation,[],[f150]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV076+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % 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 : n012.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 18:58:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (4534)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49  % (4541)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)
% 0.19/0.50  % (4534)First to succeed.
% 0.19/0.50  % (4539)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51  % (4538)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (4544)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51  % (4543)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51  % (4542)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)
% 0.19/0.51  % (4545)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.51  % (4557)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)
% 1.30/0.51  % (4545)Also succeeded, but the first one will report.
% 1.30/0.51  % (4541)Also succeeded, but the first one will report.
% 1.30/0.51  % (4534)Refutation found. Thanks to Tanya!
% 1.30/0.51  % SZS status Theorem for theBenchmark
% 1.30/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.51  % (4534)------------------------------
% 1.30/0.51  % (4534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51  % (4534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51  % (4534)Termination reason: Refutation
% 1.30/0.51  
% 1.30/0.51  % (4534)Memory used [KB]: 6140
% 1.30/0.51  % (4534)Time elapsed: 0.100 s
% 1.30/0.51  % (4534)Instructions burned: 9 (million)
% 1.30/0.51  % (4534)------------------------------
% 1.30/0.51  % (4534)------------------------------
% 1.30/0.51  % (4533)Success in time 0.171 s
%------------------------------------------------------------------------------