TSTP Solution File: SWV078+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV078+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 May 21 06:09:09 EDT 2024

% Result   : Theorem 0.15s 0.33s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   41 (  10 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   47 (  18   ~;   9   |;  14   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f406,plain,
    $false,
    inference(global_subsumption,[],[f250,f249,f248,f246,f245,f251]) ).

fof(f251,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

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

fof(f245,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ( ( ( ~ true
        & n0 = pv70 )
      | ( ( ~ leq(pv31,minus(n5,n1))
          | ~ leq(n0,pv31) )
        & n0 != pv70 ) )
    & leq(pv31,minus(n5,n1))
    & leq(n0,pv31) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ( ( ( ~ true
        & n0 = pv70 )
      | ( ( ~ leq(pv31,minus(n5,n1))
          | ~ leq(n0,pv31) )
        & n0 != pv70 ) )
    & leq(pv31,minus(n5,n1))
    & leq(n0,pv31) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv31,minus(n5,n1))
        & leq(n0,pv31) )
     => ( ( n0 = pv70
         => true )
        & ( n0 != pv70
         => ( leq(pv31,minus(n5,n1))
            & leq(n0,pv31) ) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv31,minus(n5,n1))
      & leq(n0,pv31) )
   => ( ( n0 = pv70
       => true )
      & ( n0 != pv70
       => ( leq(pv31,minus(n5,n1))
          & leq(n0,pv31) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0019) ).

fof(f246,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f108]) ).

fof(f248,plain,
    ( n0 = pv70
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv31) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f249,plain,
    ( ~ true
    | n0 != pv70 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f250,plain,
    ( ~ true
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv31) ),
    inference(cnf_transformation,[],[f108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWV078+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.00/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n020.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sun May 19 09:28:52 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.31  % (12247)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (12250)WARNING: value z3 for option sas not known
% 0.15/0.32  % (12254)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)
% 0.15/0.32  % (12253)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)
% 0.15/0.32  % (12252)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)
% 0.15/0.32  % (12248)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33  % (12249)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33  % (12250)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)
% 0.15/0.33  % (12251)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33  % (12250)First to succeed.
% 0.15/0.33  % (12250)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12247"
% 0.15/0.33  % (12252)Also succeeded, but the first one will report.
% 0.15/0.33  % (12250)Refutation found. Thanks to Tanya!
% 0.15/0.33  % SZS status Theorem for theBenchmark
% 0.15/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33  % (12250)------------------------------
% 0.15/0.33  % (12250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.33  % (12250)Termination reason: Refutation
% 0.15/0.33  
% 0.15/0.33  % (12250)Memory used [KB]: 1040
% 0.15/0.33  % (12250)Time elapsed: 0.007 s
% 0.15/0.33  % (12250)Instructions burned: 10 (million)
% 0.15/0.33  % (12247)Success in time 0.009 s
%------------------------------------------------------------------------------