TSTP Solution File: SYN362+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN362+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n003.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 : Sat Sep  2 14:25:37 EDT 2023

% Result   : Theorem 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   49 (  23   ~;   7   |;  11   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   41 (;  24   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,plain,
    $false,
    inference(resolution,[],[f13,f12]) ).

fof(f12,plain,
    ! [X0] : big_p(X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ! [X0] : big_p(X0)
    & ! [X2] :
        ( ~ big_r(sK0,X2)
        | ~ big_p(X2) )
    & ! [X3] : big_r(X3,sK1(X3)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).

fof(f7,plain,
    ( ? [X1] :
      ! [X2] :
        ( ~ big_r(X1,X2)
        | ~ big_p(X2) )
   => ! [X2] :
        ( ~ big_r(sK0,X2)
        | ~ big_p(X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ! [X3] :
      ( ? [X4] : big_r(X3,X4)
     => big_r(X3,sK1(X3)) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ! [X0] : big_p(X0)
    & ? [X1] :
      ! [X2] :
        ( ~ big_r(X1,X2)
        | ~ big_p(X2) )
    & ! [X3] :
      ? [X4] : big_r(X3,X4) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ( ! [X4] : big_p(X4)
    & ? [X0] :
      ! [X1] :
        ( ~ big_r(X0,X1)
        | ~ big_p(X1) )
    & ! [X2] :
      ? [X3] : big_r(X2,X3) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ! [X4] : big_p(X4)
    & ? [X0] :
      ! [X1] :
        ( ~ big_r(X0,X1)
        | ~ big_p(X1) )
    & ! [X2] :
      ? [X3] : big_r(X2,X3) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ? [X0] :
          ! [X1] :
            ( big_p(X1)
           => ~ big_r(X0,X1) )
        & ! [X2] :
          ? [X3] : big_r(X2,X3) )
     => ? [X4] : ~ big_p(X4) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ? [X2] :
          ! [X3] :
            ( big_p(X3)
           => ~ big_r(X2,X3) )
        & ! [X0] :
          ? [X1] : big_r(X0,X1) )
     => ? [X3] : ~ big_p(X3) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ? [X2] :
        ! [X3] :
          ( big_p(X3)
         => ~ big_r(X2,X3) )
      & ! [X0] :
        ? [X1] : big_r(X0,X1) )
   => ? [X3] : ~ big_p(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.XYMKWBEcB9/Vampire---4.8_7443',x2113) ).

fof(f13,plain,
    ~ big_p(sK1(sK0)),
    inference(resolution,[],[f11,f10]) ).

fof(f10,plain,
    ! [X3] : big_r(X3,sK1(X3)),
    inference(cnf_transformation,[],[f9]) ).

fof(f11,plain,
    ! [X2] :
      ( ~ big_r(sK0,X2)
      | ~ big_p(X2) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN362+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n003.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 30 15:59:26 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.42  % (7718)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (7723)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42  % (7724)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.42  % (7725)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.42  % (7726)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42  % (7727)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.42  % (7728)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.42  % (7729)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42  TRYING [1]
% 0.22/0.42  TRYING [1,1]
% 0.22/0.42  TRYING [1,1]
% 0.22/0.42  TRYING [2,2]
% 0.22/0.42  TRYING [2]
% 0.22/0.42  TRYING [2,2]
% 0.22/0.42  % (7725)First to succeed.
% 0.22/0.42  Cannot enumerate next child to try in an incomplete setup
% 0.22/0.42  Cannot enumerate next child to try in an incomplete setup
% 0.22/0.42  % (7726)Refutation not found, incomplete strategy% (7726)------------------------------
% 0.22/0.42  % (7726)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42  % (7724)Refutation not found, incomplete strategy% (7724)------------------------------
% 0.22/0.42  % (7724)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42  % (7726)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42  % (7726)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42  
% 0.22/0.42  % (7724)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42  % (7726)Memory used [KB]: 5245
% 0.22/0.42  % (7724)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42  
% 0.22/0.42  % (7726)Time elapsed: 0.003 s
% 0.22/0.42  % (7726)------------------------------
% 0.22/0.42  % (7726)------------------------------
% 0.22/0.42  % (7724)Memory used [KB]: 5245
% 0.22/0.42  % (7724)Time elapsed: 0.003 s
% 0.22/0.42  % (7724)------------------------------
% 0.22/0.42  % (7724)------------------------------
% 0.22/0.42  TRYING [1]
% 0.22/0.42  TRYING [2]
% 0.22/0.42  % (7723)Also succeeded, but the first one will report.
% 0.22/0.43  % (7727)Also succeeded, but the first one will report.
% 0.22/0.43  % (7725)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Theorem for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43  % (7725)------------------------------
% 0.22/0.43  % (7725)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (7725)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (7725)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (7725)Memory used [KB]: 5245
% 0.22/0.43  % (7725)Time elapsed: 0.003 s
% 0.22/0.43  % (7725)------------------------------
% 0.22/0.43  % (7725)------------------------------
% 0.22/0.43  % (7718)Success in time 0.061 s
% 0.22/0.43  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.22/0.43  7718 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.XYMKWBEcB9/Vampire---4.8_7443
% 0.22/0.43  % (7718)------------------------------
% 0.22/0.43  % (7718)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (7718)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (7718)Termination reason: Unknown
% 0.22/0.43  % (7718)Termination phase: Unknown
% 0.22/0.43  
% 0.22/0.43  % (7718)Memory used [KB]: 511
% 0.22/0.43  % (7718)Time elapsed: 0.061 s
% 0.22/0.43  % (7718)------------------------------
% 0.22/0.43  % (7718)------------------------------
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------