TSTP Solution File: SWV062+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV062+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 : n008.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 : Sun May  5 10:42:41 EDT 2024

% Result   : Theorem 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :   68 (  19   ~;  15   |;  32   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f421,plain,
    $false,
    inference(global_subsumption,[],[f259,f258,f257,f256,f255,f254,f253]) ).

fof(f253,plain,
    leq(n0,pv10),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( ( ~ leq(pv43,minus(n5,n1))
      | ~ leq(pv41,minus(n5,n1))
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv43)
      | ~ leq(n0,pv41)
      | ~ leq(n0,pv10) )
    & leq(pv43,minus(n5,n1))
    & leq(pv41,minus(n5,n1))
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv43)
    & leq(n0,pv41)
    & leq(n0,pv10) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ( ( ~ leq(pv43,minus(n5,n1))
      | ~ leq(pv41,minus(n5,n1))
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv43)
      | ~ leq(n0,pv41)
      | ~ leq(n0,pv10) )
    & leq(pv43,minus(n5,n1))
    & leq(pv41,minus(n5,n1))
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv43)
    & leq(n0,pv41)
    & leq(n0,pv10) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv43,minus(n5,n1))
        & leq(pv41,minus(n5,n1))
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv43)
        & leq(n0,pv41)
        & leq(n0,pv10) )
     => ( leq(pv43,minus(n5,n1))
        & leq(pv41,minus(n5,n1))
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv43)
        & leq(n0,pv41)
        & leq(n0,pv10) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv43,minus(n5,n1))
      & leq(pv41,minus(n5,n1))
      & leq(pv10,minus(n135300,n1))
      & leq(n0,pv43)
      & leq(n0,pv41)
      & leq(n0,pv10) )
   => ( leq(pv43,minus(n5,n1))
      & leq(pv41,minus(n5,n1))
      & leq(pv10,minus(n135300,n1))
      & leq(n0,pv43)
      & leq(n0,pv41)
      & leq(n0,pv10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0003) ).

fof(f254,plain,
    leq(n0,pv41),
    inference(cnf_transformation,[],[f116]) ).

fof(f255,plain,
    leq(n0,pv43),
    inference(cnf_transformation,[],[f116]) ).

fof(f256,plain,
    leq(pv10,minus(n135300,n1)),
    inference(cnf_transformation,[],[f116]) ).

fof(f257,plain,
    leq(pv41,minus(n5,n1)),
    inference(cnf_transformation,[],[f116]) ).

fof(f258,plain,
    leq(pv43,minus(n5,n1)),
    inference(cnf_transformation,[],[f116]) ).

fof(f259,plain,
    ( ~ leq(pv43,minus(n5,n1))
    | ~ leq(pv41,minus(n5,n1))
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv43)
    | ~ leq(n0,pv41)
    | ~ leq(n0,pv10) ),
    inference(cnf_transformation,[],[f116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV062+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 21:05:38 EDT 2024
% 0.21/0.37  % CPUTime    : 
% 0.21/0.37  % (21746)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (21749)WARNING: value z3 for option sas not known
% 0.21/0.39  % (21748)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39  % (21751)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)
% 0.21/0.39  % (21750)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39  % (21749)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)
% 0.21/0.39  % (21752)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)
% 0.21/0.39  % (21747)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39  % (21753)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)
% 0.21/0.39  % (21749)First to succeed.
% 0.21/0.39  % (21749)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21746"
% 0.21/0.40  % (21749)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Theorem for theBenchmark
% 0.21/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40  % (21749)------------------------------
% 0.21/0.40  % (21749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40  % (21749)Termination reason: Refutation
% 0.21/0.40  
% 0.21/0.40  % (21749)Memory used [KB]: 1047
% 0.21/0.40  % (21749)Time elapsed: 0.007 s
% 0.21/0.40  % (21749)Instructions burned: 10 (million)
% 0.21/0.40  % (21746)Success in time 0.026 s
%------------------------------------------------------------------------------