TSTP Solution File: NUM458+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n006.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 : Thu Aug 31 12:09:01 EDT 2023

% Result   : Theorem 0.23s 0.44s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   30 (  10 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   29 (  14   ~;   9   |;   5   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (;   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f100,plain,
    $false,
    inference(subsumption_resolution,[],[f99,f62]) ).

fof(f62,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox2/tmp/tmp.CCEpQROpOn/Vampire---4.8_15987',m__718) ).

fof(f99,plain,
    ~ aNaturalNumber0(xm),
    inference(subsumption_resolution,[],[f98,f63]) ).

fof(f63,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/tmp/tmp.CCEpQROpOn/Vampire---4.8_15987',mSortsC) ).

fof(f98,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm) ),
    inference(trivial_inequality_removal,[],[f97]) ).

fof(f97,plain,
    ( xm != xm
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm) ),
    inference(superposition,[],[f60,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.CCEpQROpOn/Vampire---4.8_15987',m_AddZero) ).

fof(f60,plain,
    ! [X0] :
      ( xm != sdtpldt0(xm,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( ~ sdtlseqdt0(xm,xm)
    & ! [X0] :
        ( xm != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ( sdtlseqdt0(xm,xm)
      | ? [X0] :
          ( xm = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) ) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ( sdtlseqdt0(xm,xm)
    | ? [X0] :
        ( xm = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.CCEpQROpOn/Vampire---4.8_15987',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM458+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n006.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri Aug 25 09:14:53 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.CCEpQROpOn/Vampire---4.8_15987
% 0.16/0.38  % (16223)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.42  % (16227)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.23/0.44  % (16230)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.23/0.44  % (16233)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.23/0.44  % (16228)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.23/0.44  % (16232)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.23/0.44  % (16231)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.23/0.44  % (16226)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.23/0.44  % (16232)First to succeed.
% 0.23/0.44  % (16231)Also succeeded, but the first one will report.
% 0.23/0.44  % (16232)Refutation found. Thanks to Tanya!
% 0.23/0.44  % SZS status Theorem for Vampire---4
% 0.23/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44  % (16232)------------------------------
% 0.23/0.44  % (16232)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44  % (16232)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44  % (16232)Termination reason: Refutation
% 0.23/0.44  
% 0.23/0.44  % (16232)Memory used [KB]: 5373
% 0.23/0.44  % (16232)Time elapsed: 0.004 s
% 0.23/0.44  % (16232)------------------------------
% 0.23/0.44  % (16232)------------------------------
% 0.23/0.44  % (16223)Success in time 0.063 s
% 0.23/0.44  16227 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.CCEpQROpOn/Vampire---4.8_15987
% 0.23/0.44  % (16227)------------------------------
% 0.23/0.44  % (16227)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44  % (16227)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44  % (16227)Termination reason: Unknown
% 0.23/0.44  % (16227)Termination phase: Saturation
% 0.23/0.44  
% 0.23/0.44  % (16227)Memory used [KB]: 895
% 0.23/0.44  % (16227)Time elapsed: 0.021 s
% 0.23/0.44  % (16227)------------------------------
% 0.23/0.44  % (16227)------------------------------
% 0.23/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------