TSTP Solution File: SWV107+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV107+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 16:39:35 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   43 (   5   ~;   0   |;  22   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f510,plain,
    $false,
    inference(avatar_sat_refutation,[],[f503,f508,f509]) ).

fof(f509,plain,
    spl40_1,
    inference(avatar_split_clause,[],[f276,f500]) ).

fof(f500,plain,
    ( spl40_1
  <=> true ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).

fof(f276,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

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

fof(f508,plain,
    spl40_2,
    inference(avatar_split_clause,[],[f268,f505]) ).

fof(f505,plain,
    ( spl40_2
  <=> geq(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).

fof(f268,plain,
    geq(n2,n0),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ~ true
    & geq(minus(n999,n1),n0)
    & geq(minus(n3,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n999,n1),n0)
    & geq(n2,n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n3,n1),n0) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ( ~ true
    & geq(minus(n999,n1),n0)
    & geq(minus(n3,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n999,n1),n0)
    & geq(n2,n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n3,n1),n0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( geq(minus(n3,n1),n0)
     => ( geq(minus(n6,n1),n0)
       => ( ( geq(minus(n999,n1),n0)
            & geq(n2,n0) )
         => ( geq(minus(n6,n1),n0)
           => ( geq(minus(n6,n1),n0)
             => ( geq(minus(n6,n1),n0)
               => ( ( geq(minus(n999,n1),n0)
                    & geq(minus(n3,n1),n0) )
                 => true ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( geq(minus(n3,n1),n0)
   => ( geq(minus(n6,n1),n0)
     => ( ( geq(minus(n999,n1),n0)
          & geq(n2,n0) )
       => ( geq(minus(n6,n1),n0)
         => ( geq(minus(n6,n1),n0)
           => ( geq(minus(n6,n1),n0)
             => ( ( geq(minus(n999,n1),n0)
                  & geq(minus(n3,n1),n0) )
               => true ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0019) ).

fof(f503,plain,
    ~ spl40_1,
    inference(avatar_split_clause,[],[f275,f500]) ).

fof(f275,plain,
    ~ true,
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV107+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n017.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 Apr 30 04:13:33 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (6881)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (6886)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (6882)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (6883)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (6885)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (6887)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (6888)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37  % (6884)WARNING: value z3 for option sas not known
% 0.13/0.37  % (6886)First to succeed.
% 0.13/0.37  % (6884)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (6886)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (6886)------------------------------
% 0.13/0.37  % (6886)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37  % (6886)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (6886)Memory used [KB]: 1134
% 0.13/0.37  % (6886)Time elapsed: 0.007 s
% 0.13/0.37  % (6886)Instructions burned: 15 (million)
% 0.13/0.37  % (6886)------------------------------
% 0.13/0.37  % (6886)------------------------------
% 0.13/0.37  % (6881)Success in time 0.022 s
%------------------------------------------------------------------------------