TSTP Solution File: TOP034+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : TOP034+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 : n023.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 19:52:47 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   33 (  14 unt;   0 def)
%            Number of atoms       :  163 (   0 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  193 (  63   ~;  65   |;  51   &)
%                                         (   5 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   45 (  35   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(unit_resulting_resolution,[],[f159,f157,f161,f160,f172,f156,f166,f170,f169,f167,f168,f149]) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v5_pre_topc(X2,X0,X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v3_borsuk_1(X2,X0,X1)
      | r1_borsuk_1(X0,X1)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | ~ m1_pre_topc(X1,X0)
      | v3_struct_0(X1)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ m1_pre_topc(X1,X0)
          | ( ? [X2] :
                ( v3_borsuk_1(X2,X0,X1)
                & v1_funct_1(X2)
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(X2,X0,X1) )
          <=> r1_borsuk_1(X0,X1) )
          | v3_struct_0(X1) ) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ? [X2] :
                ( v3_borsuk_1(X2,X0,X1)
                & v1_funct_1(X2)
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(X2,X0,X1) )
          <=> r1_borsuk_1(X0,X1) )
          | v3_struct_0(X1)
          | ~ m1_pre_topc(X1,X0) )
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( ( v2_pre_topc(X0)
        & l1_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & m1_pre_topc(X1,X0) )
         => ( ? [X2] :
                ( v3_borsuk_1(X2,X0,X1)
                & v1_funct_1(X2)
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(X2,X0,X1) )
          <=> r1_borsuk_1(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_borsuk_1) ).

fof(f168,plain,
    m2_relset_1(sK0(sK9,sK10),u1_struct_0(sK9),u1_struct_0(sK10)),
    inference(unit_resulting_resolution,[],[f157,f161,f159,f160,f155,f158,f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( m2_relset_1(sK0(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ v2_tsp_2(X1,X0)
      | ~ m2_tsp_1(X1,X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( v3_borsuk_1(X2,X0,X1)
              & v5_pre_topc(X2,X0,X1)
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_1(X2) )
          | ~ m2_tsp_1(X1,X0)
          | ~ v2_tsp_2(X1,X0)
          | v3_struct_0(X1) )
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( v3_borsuk_1(X2,X0,X1)
              & v5_pre_topc(X2,X0,X1)
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_1(X2) )
          | ~ m2_tsp_1(X1,X0)
          | ~ v2_tsp_2(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & v2_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m2_tsp_1(X1,X0)
            & v2_tsp_2(X1,X0)
            & ~ v3_struct_0(X1) )
         => ? [X2] :
              ( v3_borsuk_1(X2,X0,X1)
              & v5_pre_topc(X2,X0,X1)
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_1(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_tsp_2) ).

fof(f158,plain,
    m2_tsp_1(sK10,sK9),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ? [X0] :
      ( ? [X1] :
          ( m2_tsp_1(X1,X0)
          & ~ v3_struct_0(X1)
          & ~ r1_borsuk_1(X0,X1)
          & v2_tsp_2(X1,X0) )
      & l1_pre_topc(X0)
      & v2_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_borsuk_1(X0,X1)
          & v2_tsp_2(X1,X0)
          & ~ v3_struct_0(X1)
          & m2_tsp_1(X1,X0) )
      & v2_pre_topc(X0)
      & l1_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( v2_pre_topc(X0)
          & l1_pre_topc(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( ( v2_tsp_2(X1,X0)
              & ~ v3_struct_0(X1)
              & m2_tsp_1(X1,X0) )
           => r1_borsuk_1(X0,X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( v2_pre_topc(X0)
        & l1_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( v2_tsp_2(X1,X0)
            & ~ v3_struct_0(X1)
            & m2_tsp_1(X1,X0) )
         => r1_borsuk_1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_tsp_2) ).

fof(f155,plain,
    v2_tsp_2(sK10,sK9),
    inference(cnf_transformation,[],[f111]) ).

fof(f167,plain,
    v1_funct_2(sK0(sK9,sK10),u1_struct_0(sK9),u1_struct_0(sK10)),
    inference(unit_resulting_resolution,[],[f160,f161,f157,f159,f155,f158,f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( v1_funct_2(sK0(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
      | ~ m2_tsp_1(X1,X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | v3_struct_0(X1)
      | ~ v2_tsp_2(X1,X0)
      | ~ v2_pre_topc(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f169,plain,
    v5_pre_topc(sK0(sK9,sK10),sK9,sK10),
    inference(unit_resulting_resolution,[],[f160,f157,f161,f159,f155,f158,f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( v5_pre_topc(sK0(X0,X1),X0,X1)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ v2_tsp_2(X1,X0)
      | ~ m2_tsp_1(X1,X0)
      | v3_struct_0(X1)
      | ~ v2_pre_topc(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f170,plain,
    v3_borsuk_1(sK0(sK9,sK10),sK9,sK10),
    inference(unit_resulting_resolution,[],[f157,f161,f159,f160,f155,f158,f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( v3_borsuk_1(sK0(X0,X1),X0,X1)
      | ~ l1_pre_topc(X0)
      | ~ m2_tsp_1(X1,X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ v2_tsp_2(X1,X0)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f166,plain,
    v1_funct_1(sK0(sK9,sK10)),
    inference(unit_resulting_resolution,[],[f157,f160,f161,f159,f155,f158,f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ m2_tsp_1(X1,X0)
      | ~ v2_tsp_2(X1,X0)
      | v3_struct_0(X0)
      | v1_funct_1(sK0(X0,X1))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f156,plain,
    ~ r1_borsuk_1(sK9,sK10),
    inference(cnf_transformation,[],[f111]) ).

fof(f172,plain,
    m1_pre_topc(sK10,sK9),
    inference(unit_resulting_resolution,[],[f161,f158,f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ m2_tsp_1(X1,X0)
      | m1_pre_topc(X1,X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( m2_tsp_1(X1,X0)
        <=> m1_pre_topc(X1,X0) )
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( l1_pre_topc(X0)
     => ! [X1] :
          ( m2_tsp_1(X1,X0)
        <=> m1_pre_topc(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).

fof(f160,plain,
    v2_pre_topc(sK9),
    inference(cnf_transformation,[],[f111]) ).

fof(f161,plain,
    l1_pre_topc(sK9),
    inference(cnf_transformation,[],[f111]) ).

fof(f157,plain,
    ~ v3_struct_0(sK10),
    inference(cnf_transformation,[],[f111]) ).

fof(f159,plain,
    ~ v3_struct_0(sK9),
    inference(cnf_transformation,[],[f111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 14:58:50 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.45  % (25305)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.46  % (25292)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)
% 0.19/0.47  % (25292)First to succeed.
% 0.19/0.48  % (25292)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (25292)------------------------------
% 0.19/0.48  % (25292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (25292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (25292)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (25292)Memory used [KB]: 6140
% 0.19/0.48  % (25292)Time elapsed: 0.015 s
% 0.19/0.48  % (25292)Instructions burned: 8 (million)
% 0.19/0.48  % (25292)------------------------------
% 0.19/0.48  % (25292)------------------------------
% 0.19/0.48  % (25283)Success in time 0.134 s
%------------------------------------------------------------------------------