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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n021.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 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   59 (   8 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   69 (  27   ~;  16   |;  18   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f208,plain,
    $false,
    inference(avatar_sat_refutation,[],[f202,f203,f205]) ).

fof(f205,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f204,f198,f190]) ).

fof(f190,plain,
    ( spl0_1
  <=> leq(n0,pv31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f198,plain,
    ( spl0_3
  <=> leq(pv31,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f204,plain,
    ( ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv31) ),
    inference(subsumption_resolution,[],[f187,f151]) ).

fof(f151,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

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

fof(f187,plain,
    ( ~ true
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv31) ),
    inference(duplicate_literal_removal,[],[f127]) ).

fof(f127,plain,
    ( ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv31)
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv31)
    | ~ true ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( leq(pv31,minus(n5,n1))
    & leq(n0,pv31)
    & ( ( n0 = pv40
        & ~ true )
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv31)
      | ( n0 != pv40
        & ( ~ leq(pv31,minus(n5,n1))
          | ~ leq(n0,pv31) ) ) ) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ( ( ( n0 = pv40
        & ~ true )
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv31)
      | ( n0 != pv40
        & ( ~ leq(pv31,minus(n5,n1))
          | ~ leq(n0,pv31) ) ) )
    & 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))
        & ( n0 = pv40
         => true )
        & leq(n0,pv31)
        & ( 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))
      & ( n0 = pv40
       => true )
      & leq(n0,pv31)
      & ( n0 != pv40
       => ( leq(n0,pv31)
          & leq(pv31,minus(n5,n1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0018) ).

fof(f203,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f132,f198]) ).

fof(f132,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f101]) ).

fof(f202,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f131,f190]) ).

fof(f131,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f101]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:55:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (614)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)
% 0.19/0.52  % (612)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (632)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)
% 0.19/0.53  % (633)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)
% 0.19/0.53  % (621)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)
% 0.19/0.53  % (613)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)
% 0.19/0.53  % (622)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)
% 0.19/0.53  % (631)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.54  % (621)Instruction limit reached!
% 0.19/0.54  % (621)------------------------------
% 0.19/0.54  % (621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (613)First to succeed.
% 0.19/0.54  % (614)Also succeeded, but the first one will report.
% 0.19/0.54  % (609)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (613)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Theorem for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (613)------------------------------
% 0.19/0.54  % (613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (613)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (613)Memory used [KB]: 6012
% 0.19/0.54  % (613)Time elapsed: 0.007 s
% 0.19/0.54  % (613)Instructions burned: 4 (million)
% 0.19/0.54  % (613)------------------------------
% 0.19/0.54  % (613)------------------------------
% 0.19/0.54  % (605)Success in time 0.193 s
%------------------------------------------------------------------------------