TSTP Solution File: NUM605+3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM605+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 14:35:03 EDT 2024

% Result   : Theorem 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   46 (  24 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   42 (  17   ~;   8   |;  13   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   7   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1299,plain,
    $false,
    inference(subsumption_resolution,[],[f1297,f719]) ).

fof(f719,plain,
    sz00 != xK,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    sz00 != xK,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).

fof(f1297,plain,
    sz00 = xK,
    inference(superposition,[],[f1295,f1278]) ).

fof(f1278,plain,
    xK = sbrdtbr0(slcrc0),
    inference(forward_demodulation,[],[f830,f718]) ).

fof(f718,plain,
    slcrc0 = xQ,
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( slcrc0 = xQ
    & ! [X0] : ~ aElementOf0(X0,xQ) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ( slcrc0 = xQ
    & ~ ? [X0] : aElementOf0(X0,xQ) ),
    inference(flattening,[],[f101]) ).

fof(f101,negated_conjecture,
    ~ ~ ( slcrc0 = xQ
        & ~ ? [X0] : aElementOf0(X0,xQ) ),
    inference(negated_conjecture,[],[f100]) ).

fof(f100,conjecture,
    ~ ( slcrc0 = xQ
      & ~ ? [X0] : aElementOf0(X0,xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f830,plain,
    xK = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
    & xK = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xO)
    & ! [X0] :
        ( aElementOf0(X0,xO)
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
    & xK = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xO)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xO) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).

fof(f1295,plain,
    sz00 = sbrdtbr0(slcrc0),
    inference(subsumption_resolution,[],[f1242,f1281]) ).

fof(f1281,plain,
    aSet0(slcrc0),
    inference(forward_demodulation,[],[f827,f718]) ).

fof(f827,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f132]) ).

fof(f1242,plain,
    ( sz00 = sbrdtbr0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(equality_resolution,[],[f1073]) ).

fof(f1073,plain,
    ! [X0] :
      ( sz00 = sbrdtbr0(X0)
      | slcrc0 != X0
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f621]) ).

fof(f621,plain,
    ! [X0] :
      ( ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM605+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Apr 29 23:04:48 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (1157)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (1164)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)
% 0.14/0.37  % (1160)WARNING: value z3 for option sas not known
% 0.14/0.37  % (1158)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (1159)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (1161)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (1162)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)
% 0.14/0.37  % (1163)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)
% 0.14/0.37  % (1160)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)
% 0.14/0.38  % (1164)First to succeed.
% 0.14/0.39  % (1164)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Theorem for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (1164)------------------------------
% 0.14/0.39  % (1164)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39  % (1164)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (1164)Memory used [KB]: 1704
% 0.14/0.39  % (1164)Time elapsed: 0.022 s
% 0.14/0.39  % (1164)Instructions burned: 44 (million)
% 0.14/0.39  % (1164)------------------------------
% 0.14/0.39  % (1164)------------------------------
% 0.14/0.39  % (1157)Success in time 0.025 s
%------------------------------------------------------------------------------