TSTP Solution File: SEU435+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n005.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 : Wed Aug 31 18:30:28 EDT 2022

% Result   : Theorem 0.15s 0.50s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   25 (   9   ~;   6   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-6 aty)
%            Number of variables   :   48 (  42   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f232,plain,
    $false,
    inference(unit_resulting_resolution,[],[f116,f118,f117,f129]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( m1_subset_1(a_6_0_relset_2(X5,X3,X0,X1,X2,X4),k1_zfmisc_1(k1_zfmisc_1(X2)))
      | ~ m1_subset_1(X4,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X5,X3)))) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X3,X2,X1,X5,X0,X4] :
      ( ~ m1_subset_1(X4,k1_zfmisc_1(X1))
      | m1_subset_1(a_6_0_relset_2(X5,X3,X0,X1,X2,X4),k1_zfmisc_1(k1_zfmisc_1(X2)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X5,X3)))) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ! [X3,X2,X5,X0,X1,X4] :
      ( m1_subset_1(a_6_0_relset_2(X5,X3,X0,X1,X2,X4),k1_zfmisc_1(k1_zfmisc_1(X2)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X5,X3))))
      | ~ m1_subset_1(X4,k1_zfmisc_1(X1)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X3,X2,X5,X0,X1,X4] :
      ( ( m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X5,X3))))
        & m1_subset_1(X4,k1_zfmisc_1(X1)) )
     => m1_subset_1(a_6_0_relset_2(X5,X3,X0,X1,X2,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X2,X3,X4,X1,X5,X0] :
      ( ( m1_subset_1(X5,k1_zfmisc_1(X3))
        & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
     => m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_46__relset_2) ).

fof(f117,plain,
    ~ m1_subset_1(a_6_0_relset_2(sK1,sK3,sK2,sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5))),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ? [X0,X2,X1] :
      ( ? [X3,X4,X5] :
          ( ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
          & m1_subset_1(X5,k1_zfmisc_1(X3)) )
      & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X1,X2,X0] :
        ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
       => ! [X5,X3,X4] :
            ( m1_subset_1(X5,k1_zfmisc_1(X3))
           => m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X1,X2,X0] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
     => ! [X5,X3,X4] :
          ( m1_subset_1(X5,k1_zfmisc_1(X3))
         => m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_relset_2) ).

fof(f118,plain,
    m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK3)))),
    inference(cnf_transformation,[],[f87]) ).

fof(f116,plain,
    m1_subset_1(sK6,k1_zfmisc_1(sK4)),
    inference(cnf_transformation,[],[f87]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32  % Computer : n005.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 15:36:03 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.15/0.47  % (17642)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.48  % (17652)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.48  % (17660)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.48  % (17644)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.48  % (17658)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.48  % (17650)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.49  % (17650)Instruction limit reached!
% 0.15/0.49  % (17650)------------------------------
% 0.15/0.49  % (17650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (17644)First to succeed.
% 0.15/0.50  % (17650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (17650)Termination reason: Unknown
% 0.15/0.50  % (17650)Termination phase: Saturation
% 0.15/0.50  
% 0.15/0.50  % (17650)Memory used [KB]: 6012
% 0.15/0.50  % (17650)Time elapsed: 0.005 s
% 0.15/0.50  % (17650)Instructions burned: 4 (million)
% 0.15/0.50  % (17650)------------------------------
% 0.15/0.50  % (17650)------------------------------
% 0.15/0.50  % (17652)Also succeeded, but the first one will report.
% 0.15/0.50  % (17644)Refutation found. Thanks to Tanya!
% 0.15/0.50  % SZS status Theorem for theBenchmark
% 0.15/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50  % (17644)------------------------------
% 0.15/0.50  % (17644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (17644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (17644)Termination reason: Refutation
% 0.15/0.50  
% 0.15/0.50  % (17644)Memory used [KB]: 6140
% 0.15/0.50  % (17644)Time elapsed: 0.112 s
% 0.15/0.50  % (17644)Instructions burned: 7 (million)
% 0.15/0.50  % (17644)------------------------------
% 0.15/0.50  % (17644)------------------------------
% 0.15/0.50  % (17635)Success in time 0.174 s
%------------------------------------------------------------------------------