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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n021.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 18:33:56 EDT 2022

% Result   : Theorem 0.14s 0.48s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   51 (  20   ~;   9   |;  14   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   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   :   72 (  48   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f229,plain,
    $false,
    inference(subsumption_resolution,[],[f228,f193]) ).

fof(f193,plain,
    m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK6,sK4)))),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK6,sK4))))
    & m1_subset_1(sK7,k1_zfmisc_1(sK9))
    & ~ m1_subset_1(a_6_0_relset_2(sK6,sK4,sK5,sK9,sK8,sK7),k1_zfmisc_1(k1_zfmisc_1(sK8))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f134,f136,f135]) ).

fof(f135,plain,
    ( ? [X0,X1,X2] :
        ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X0))))
        & ? [X3,X4,X5] :
            ( m1_subset_1(X3,k1_zfmisc_1(X5))
            & ~ m1_subset_1(a_6_0_relset_2(X2,X0,X1,X5,X4,X3),k1_zfmisc_1(k1_zfmisc_1(X4))) ) )
   => ( m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK6,sK4))))
      & ? [X5,X4,X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(X5))
          & ~ m1_subset_1(a_6_0_relset_2(sK6,sK4,sK5,X5,X4,X3),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ( ? [X5,X4,X3] :
        ( m1_subset_1(X3,k1_zfmisc_1(X5))
        & ~ m1_subset_1(a_6_0_relset_2(sK6,sK4,sK5,X5,X4,X3),k1_zfmisc_1(k1_zfmisc_1(X4))) )
   => ( m1_subset_1(sK7,k1_zfmisc_1(sK9))
      & ~ m1_subset_1(a_6_0_relset_2(sK6,sK4,sK5,sK9,sK8,sK7),k1_zfmisc_1(k1_zfmisc_1(sK8))) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ? [X0,X1,X2] :
      ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X0))))
      & ? [X3,X4,X5] :
          ( m1_subset_1(X3,k1_zfmisc_1(X5))
          & ~ m1_subset_1(a_6_0_relset_2(X2,X0,X1,X5,X4,X3),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
    inference(rectify,[],[f105]) ).

fof(f105,plain,
    ? [X1,X2,X0] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
      & ? [X5,X4,X3] :
          ( 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(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))))
       => ! [X3,X4,X5] :
            ( 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))))
     => ! [X3,X4,X5] :
          ( 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/sandbox/benchmark/theBenchmark.p',t36_relset_2) ).

fof(f228,plain,
    ~ m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK6,sK4)))),
    inference(subsumption_resolution,[],[f227,f192]) ).

fof(f192,plain,
    m1_subset_1(sK7,k1_zfmisc_1(sK9)),
    inference(cnf_transformation,[],[f137]) ).

fof(f227,plain,
    ( ~ m1_subset_1(sK7,k1_zfmisc_1(sK9))
    | ~ m1_subset_1(sK5,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK6,sK4)))) ),
    inference(resolution,[],[f208,f191]) ).

fof(f191,plain,
    ~ m1_subset_1(a_6_0_relset_2(sK6,sK4,sK5,sK9,sK8,sK7),k1_zfmisc_1(k1_zfmisc_1(sK8))),
    inference(cnf_transformation,[],[f137]) ).

fof(f208,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( m1_subset_1(a_6_0_relset_2(X4,X2,X3,X1,X0,X5),k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X2))))
      | ~ m1_subset_1(X5,k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( m1_subset_1(a_6_0_relset_2(X4,X2,X3,X1,X0,X5),k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X2))))
      | ~ m1_subset_1(X5,k1_zfmisc_1(X1)) ),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ! [X0,X3,X5,X2,X4,X1] :
      ( m1_subset_1(a_6_0_relset_2(X4,X5,X2,X3,X0,X1),k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ! [X0,X2,X3,X4,X5,X1] :
      ( m1_subset_1(a_6_0_relset_2(X4,X5,X2,X3,X0,X1),k1_zfmisc_1(k1_zfmisc_1(X0)))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X3))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5)))) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X2,X3,X4,X5,X1] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(X3))
        & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5)))) )
     => m1_subset_1(a_6_0_relset_2(X4,X5,X2,X3,X0,X1),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X4,X5,X2,X3,X0,X1] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
        & 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/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_46__relset_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29  % Computer : n021.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 30 15:32:41 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.44  % (9088)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.45  % (9098)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.45  % (9090)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.45  % (9087)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.45  % (9104)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.46  % (9096)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.46  % (9088)Instruction limit reached!
% 0.14/0.46  % (9088)------------------------------
% 0.14/0.46  % (9088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (9088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46  % (9088)Termination reason: Unknown
% 0.14/0.46  % (9088)Termination phase: Preprocessing 3
% 0.14/0.46  
% 0.14/0.46  % (9088)Memory used [KB]: 895
% 0.14/0.46  % (9088)Time elapsed: 0.003 s
% 0.14/0.46  % (9088)Instructions burned: 2 (million)
% 0.14/0.46  % (9088)------------------------------
% 0.14/0.46  % (9088)------------------------------
% 0.14/0.46  % (9087)Instruction limit reached!
% 0.14/0.46  % (9087)------------------------------
% 0.14/0.46  % (9087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (9103)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.46  % (9087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46  % (9087)Termination reason: Unknown
% 0.14/0.46  % (9087)Termination phase: Saturation
% 0.14/0.46  
% 0.14/0.46  % (9087)Memory used [KB]: 5628
% 0.14/0.46  % (9087)Time elapsed: 0.115 s
% 0.14/0.46  % (9087)Instructions burned: 7 (million)
% 0.14/0.46  % (9087)------------------------------
% 0.14/0.46  % (9087)------------------------------
% 0.14/0.47  % (9095)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.47  % (9103)First to succeed.
% 0.14/0.47  % (9106)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.48  % (9103)Refutation found. Thanks to Tanya!
% 0.14/0.48  % SZS status Theorem for theBenchmark
% 0.14/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48  % (9103)------------------------------
% 0.14/0.48  % (9103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (9103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (9103)Termination reason: Refutation
% 0.14/0.48  
% 0.14/0.48  % (9103)Memory used [KB]: 5500
% 0.14/0.48  % (9103)Time elapsed: 0.123 s
% 0.14/0.48  % (9103)Instructions burned: 5 (million)
% 0.14/0.48  % (9103)------------------------------
% 0.14/0.48  % (9103)------------------------------
% 0.14/0.48  % (9079)Success in time 0.173 s
%------------------------------------------------------------------------------