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

View Problem - Process Solution

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

% Computer : n011.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 19:53:31 EDT 2022

% Result   : Theorem 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   79 (  15 unt;   0 def)
%            Number of atoms       :  436 (   0 equ)
%            Maximal formula atoms :   17 (   5 avg)
%            Number of connectives :  539 ( 182   ~; 228   |; 111   &)
%                                         (   5 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   70 (  52   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f941,plain,
    $false,
    inference(subsumption_resolution,[],[f940,f472]) ).

fof(f472,plain,
    ~ v3_struct_0(sK20),
    inference(cnf_transformation,[],[f295]) ).

fof(f295,plain,
    ( v2_pre_topc(sK20)
    & ~ v3_struct_0(sK20)
    & m2_tsp_1(sK21,sK20)
    & ~ r1_borsuk_1(sK20,sK21)
    & ~ v3_struct_0(sK21)
    & v2_tsp_2(sK21,sK20)
    & l1_pre_topc(sK20) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f212,f294,f293]) ).

fof(f293,plain,
    ( ? [X0] :
        ( v2_pre_topc(X0)
        & ~ v3_struct_0(X0)
        & ? [X1] :
            ( m2_tsp_1(X1,X0)
            & ~ r1_borsuk_1(X0,X1)
            & ~ v3_struct_0(X1)
            & v2_tsp_2(X1,X0) )
        & l1_pre_topc(X0) )
   => ( v2_pre_topc(sK20)
      & ~ v3_struct_0(sK20)
      & ? [X1] :
          ( m2_tsp_1(X1,sK20)
          & ~ r1_borsuk_1(sK20,X1)
          & ~ v3_struct_0(X1)
          & v2_tsp_2(X1,sK20) )
      & l1_pre_topc(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f294,plain,
    ( ? [X1] :
        ( m2_tsp_1(X1,sK20)
        & ~ r1_borsuk_1(sK20,X1)
        & ~ v3_struct_0(X1)
        & v2_tsp_2(X1,sK20) )
   => ( m2_tsp_1(sK21,sK20)
      & ~ r1_borsuk_1(sK20,sK21)
      & ~ v3_struct_0(sK21)
      & v2_tsp_2(sK21,sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f212,plain,
    ? [X0] :
      ( v2_pre_topc(X0)
      & ~ v3_struct_0(X0)
      & ? [X1] :
          ( m2_tsp_1(X1,X0)
          & ~ r1_borsuk_1(X0,X1)
          & ~ v3_struct_0(X1)
          & v2_tsp_2(X1,X0) )
      & l1_pre_topc(X0) ),
    inference(flattening,[],[f211]) ).

fof(f211,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_borsuk_1(X0,X1)
          & m2_tsp_1(X1,X0)
          & ~ v3_struct_0(X1)
          & v2_tsp_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f2]) ).

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

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

fof(f940,plain,
    v3_struct_0(sK20),
    inference(subsumption_resolution,[],[f939,f470]) ).

fof(f470,plain,
    ~ r1_borsuk_1(sK20,sK21),
    inference(cnf_transformation,[],[f295]) ).

fof(f939,plain,
    ( r1_borsuk_1(sK20,sK21)
    | v3_struct_0(sK20) ),
    inference(subsumption_resolution,[],[f938,f510]) ).

fof(f510,plain,
    m1_pre_topc(sK21,sK20),
    inference(subsumption_resolution,[],[f509,f467]) ).

fof(f467,plain,
    l1_pre_topc(sK20),
    inference(cnf_transformation,[],[f295]) ).

fof(f509,plain,
    ( m1_pre_topc(sK21,sK20)
    | ~ l1_pre_topc(sK20) ),
    inference(resolution,[],[f394,f471]) ).

fof(f471,plain,
    m2_tsp_1(sK21,sK20),
    inference(cnf_transformation,[],[f295]) ).

fof(f394,plain,
    ! [X0,X1] :
      ( ~ m2_tsp_1(X1,X0)
      | ~ l1_pre_topc(X0)
      | m1_pre_topc(X1,X0) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f272,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m1_pre_topc(X1,X0)
            | ~ m2_tsp_1(X1,X0) )
          & ( m2_tsp_1(X1,X0)
            | ~ m1_pre_topc(X1,X0) ) )
      | ~ l1_pre_topc(X0) ),
    inference(nnf_transformation,[],[f223]) ).

fof(f223,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_pre_topc(X1,X0)
        <=> m2_tsp_1(X1,X0) )
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f86]) ).

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

fof(f938,plain,
    ( ~ m1_pre_topc(sK21,sK20)
    | v3_struct_0(sK20)
    | r1_borsuk_1(sK20,sK21) ),
    inference(subsumption_resolution,[],[f937,f467]) ).

fof(f937,plain,
    ( ~ l1_pre_topc(sK20)
    | r1_borsuk_1(sK20,sK21)
    | v3_struct_0(sK20)
    | ~ m1_pre_topc(sK21,sK20) ),
    inference(subsumption_resolution,[],[f936,f897]) ).

fof(f897,plain,
    v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)),
    inference(subsumption_resolution,[],[f896,f473]) ).

fof(f473,plain,
    v2_pre_topc(sK20),
    inference(cnf_transformation,[],[f295]) ).

fof(f896,plain,
    ( ~ v2_pre_topc(sK20)
    | v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)) ),
    inference(subsumption_resolution,[],[f895,f469]) ).

fof(f469,plain,
    ~ v3_struct_0(sK21),
    inference(cnf_transformation,[],[f295]) ).

fof(f895,plain,
    ( v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | v3_struct_0(sK21)
    | ~ v2_pre_topc(sK20) ),
    inference(subsumption_resolution,[],[f894,f471]) ).

fof(f894,plain,
    ( ~ m2_tsp_1(sK21,sK20)
    | ~ v2_pre_topc(sK20)
    | v3_struct_0(sK21)
    | v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)) ),
    inference(subsumption_resolution,[],[f893,f467]) ).

fof(f893,plain,
    ( ~ l1_pre_topc(sK20)
    | ~ m2_tsp_1(sK21,sK20)
    | ~ v2_pre_topc(sK20)
    | v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | v3_struct_0(sK21) ),
    inference(subsumption_resolution,[],[f892,f472]) ).

fof(f892,plain,
    ( v3_struct_0(sK20)
    | ~ v2_pre_topc(sK20)
    | ~ l1_pre_topc(sK20)
    | v3_struct_0(sK21)
    | v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | ~ m2_tsp_1(sK21,sK20) ),
    inference(resolution,[],[f401,f468]) ).

fof(f468,plain,
    v2_tsp_2(sK21,sK20),
    inference(cnf_transformation,[],[f295]) ).

fof(f401,plain,
    ! [X0,X1] :
      ( ~ v2_tsp_2(X1,X0)
      | ~ m2_tsp_1(X1,X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X1)
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0)
      | v1_funct_2(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
    inference(cnf_transformation,[],[f275]) ).

fof(f275,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | ! [X1] :
          ( ~ v2_tsp_2(X1,X0)
          | ( v3_borsuk_1(sK14(X0,X1),X0,X1)
            & m2_relset_1(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
            & v1_funct_2(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
            & v5_pre_topc(sK14(X0,X1),X0,X1)
            & v1_funct_1(sK14(X0,X1)) )
          | v3_struct_0(X1)
          | ~ m2_tsp_1(X1,X0) )
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f169,f274]) ).

fof(f274,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( v3_borsuk_1(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))
          & v5_pre_topc(X2,X0,X1)
          & v1_funct_1(X2) )
     => ( v3_borsuk_1(sK14(X0,X1),X0,X1)
        & m2_relset_1(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_2(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v5_pre_topc(sK14(X0,X1),X0,X1)
        & v1_funct_1(sK14(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | ! [X1] :
          ( ~ v2_tsp_2(X1,X0)
          | ? [X2] :
              ( v3_borsuk_1(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))
              & v5_pre_topc(X2,X0,X1)
              & v1_funct_1(X2) )
          | v3_struct_0(X1)
          | ~ m2_tsp_1(X1,X0) )
      | v3_struct_0(X0) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( v3_borsuk_1(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))
              & v5_pre_topc(X2,X0,X1)
              & v1_funct_1(X2) )
          | ~ m2_tsp_1(X1,X0)
          | v3_struct_0(X1)
          | ~ v2_tsp_2(X1,X0) )
      | ~ 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)
            & ~ v3_struct_0(X1)
            & v2_tsp_2(X1,X0) )
         => ? [X2] :
              ( v3_borsuk_1(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))
              & v5_pre_topc(X2,X0,X1)
              & v1_funct_1(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).

fof(f936,plain,
    ( ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | r1_borsuk_1(sK20,sK21)
    | ~ m1_pre_topc(sK21,sK20)
    | ~ l1_pre_topc(sK20)
    | v3_struct_0(sK20) ),
    inference(subsumption_resolution,[],[f935,f469]) ).

fof(f935,plain,
    ( v3_struct_0(sK21)
    | ~ m1_pre_topc(sK21,sK20)
    | r1_borsuk_1(sK20,sK21)
    | ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | ~ l1_pre_topc(sK20)
    | v3_struct_0(sK20) ),
    inference(subsumption_resolution,[],[f934,f891]) ).

fof(f891,plain,
    v3_borsuk_1(sK14(sK20,sK21),sK20,sK21),
    inference(subsumption_resolution,[],[f890,f469]) ).

fof(f890,plain,
    ( v3_struct_0(sK21)
    | v3_borsuk_1(sK14(sK20,sK21),sK20,sK21) ),
    inference(subsumption_resolution,[],[f889,f473]) ).

fof(f889,plain,
    ( ~ v2_pre_topc(sK20)
    | v3_struct_0(sK21)
    | v3_borsuk_1(sK14(sK20,sK21),sK20,sK21) ),
    inference(subsumption_resolution,[],[f888,f468]) ).

fof(f888,plain,
    ( ~ v2_tsp_2(sK21,sK20)
    | ~ v2_pre_topc(sK20)
    | v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
    | v3_struct_0(sK21) ),
    inference(subsumption_resolution,[],[f887,f472]) ).

fof(f887,plain,
    ( v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
    | v3_struct_0(sK20)
    | ~ v2_pre_topc(sK20)
    | ~ v2_tsp_2(sK21,sK20)
    | v3_struct_0(sK21) ),
    inference(subsumption_resolution,[],[f880,f467]) ).

fof(f880,plain,
    ( ~ l1_pre_topc(sK20)
    | v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
    | v3_struct_0(sK21)
    | ~ v2_tsp_2(sK21,sK20)
    | ~ v2_pre_topc(sK20)
    | v3_struct_0(sK20) ),
    inference(resolution,[],[f403,f471]) ).

fof(f403,plain,
    ! [X0,X1] :
      ( ~ m2_tsp_1(X1,X0)
      | v3_struct_0(X0)
      | v3_borsuk_1(sK14(X0,X1),X0,X1)
      | ~ v2_tsp_2(X1,X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f275]) ).

fof(f934,plain,
    ( ~ v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
    | ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | ~ l1_pre_topc(sK20)
    | v3_struct_0(sK21)
    | ~ m1_pre_topc(sK21,sK20)
    | v3_struct_0(sK20)
    | r1_borsuk_1(sK20,sK21) ),
    inference(subsumption_resolution,[],[f933,f868]) ).

fof(f868,plain,
    v5_pre_topc(sK14(sK20,sK21),sK20,sK21),
    inference(subsumption_resolution,[],[f867,f469]) ).

fof(f867,plain,
    ( v3_struct_0(sK21)
    | v5_pre_topc(sK14(sK20,sK21),sK20,sK21) ),
    inference(subsumption_resolution,[],[f866,f472]) ).

fof(f866,plain,
    ( v3_struct_0(sK20)
    | v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
    | v3_struct_0(sK21) ),
    inference(subsumption_resolution,[],[f865,f467]) ).

fof(f865,plain,
    ( ~ l1_pre_topc(sK20)
    | v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
    | v3_struct_0(sK21)
    | v3_struct_0(sK20) ),
    inference(subsumption_resolution,[],[f864,f473]) ).

fof(f864,plain,
    ( ~ v2_pre_topc(sK20)
    | v3_struct_0(sK21)
    | v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
    | ~ l1_pre_topc(sK20)
    | v3_struct_0(sK20) ),
    inference(subsumption_resolution,[],[f863,f471]) ).

fof(f863,plain,
    ( ~ m2_tsp_1(sK21,sK20)
    | v3_struct_0(sK21)
    | v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
    | ~ l1_pre_topc(sK20)
    | ~ v2_pre_topc(sK20)
    | v3_struct_0(sK20) ),
    inference(resolution,[],[f400,f468]) ).

fof(f400,plain,
    ! [X0,X1] :
      ( ~ v2_tsp_2(X1,X0)
      | v3_struct_0(X0)
      | v5_pre_topc(sK14(X0,X1),X0,X1)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X1)
      | ~ m2_tsp_1(X1,X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f275]) ).

fof(f933,plain,
    ( ~ v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
    | ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | ~ v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
    | r1_borsuk_1(sK20,sK21)
    | ~ m1_pre_topc(sK21,sK20)
    | v3_struct_0(sK21)
    | v3_struct_0(sK20)
    | ~ l1_pre_topc(sK20) ),
    inference(subsumption_resolution,[],[f932,f473]) ).

fof(f932,plain,
    ( ~ v2_pre_topc(sK20)
    | ~ m1_pre_topc(sK21,sK20)
    | v3_struct_0(sK20)
    | ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | r1_borsuk_1(sK20,sK21)
    | v3_struct_0(sK21)
    | ~ v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
    | ~ l1_pre_topc(sK20)
    | ~ v5_pre_topc(sK14(sK20,sK21),sK20,sK21) ),
    inference(subsumption_resolution,[],[f931,f832]) ).

fof(f832,plain,
    v1_funct_1(sK14(sK20,sK21)),
    inference(subsumption_resolution,[],[f831,f472]) ).

fof(f831,plain,
    ( v3_struct_0(sK20)
    | v1_funct_1(sK14(sK20,sK21)) ),
    inference(subsumption_resolution,[],[f830,f473]) ).

fof(f830,plain,
    ( ~ v2_pre_topc(sK20)
    | v1_funct_1(sK14(sK20,sK21))
    | v3_struct_0(sK20) ),
    inference(subsumption_resolution,[],[f829,f469]) ).

fof(f829,plain,
    ( v3_struct_0(sK21)
    | v3_struct_0(sK20)
    | ~ v2_pre_topc(sK20)
    | v1_funct_1(sK14(sK20,sK21)) ),
    inference(subsumption_resolution,[],[f828,f467]) ).

fof(f828,plain,
    ( ~ l1_pre_topc(sK20)
    | v3_struct_0(sK20)
    | ~ v2_pre_topc(sK20)
    | v3_struct_0(sK21)
    | v1_funct_1(sK14(sK20,sK21)) ),
    inference(subsumption_resolution,[],[f827,f471]) ).

fof(f827,plain,
    ( ~ m2_tsp_1(sK21,sK20)
    | v3_struct_0(sK20)
    | ~ v2_pre_topc(sK20)
    | ~ l1_pre_topc(sK20)
    | v3_struct_0(sK21)
    | v1_funct_1(sK14(sK20,sK21)) ),
    inference(resolution,[],[f399,f468]) ).

fof(f399,plain,
    ! [X0,X1] :
      ( ~ v2_tsp_2(X1,X0)
      | ~ l1_pre_topc(X0)
      | v1_funct_1(sK14(X0,X1))
      | ~ v2_pre_topc(X0)
      | ~ m2_tsp_1(X1,X0)
      | v3_struct_0(X0)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f275]) ).

fof(f931,plain,
    ( ~ v1_funct_1(sK14(sK20,sK21))
    | ~ v1_funct_2(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | v3_struct_0(sK20)
    | ~ v3_borsuk_1(sK14(sK20,sK21),sK20,sK21)
    | v3_struct_0(sK21)
    | r1_borsuk_1(sK20,sK21)
    | ~ v5_pre_topc(sK14(sK20,sK21),sK20,sK21)
    | ~ l1_pre_topc(sK20)
    | ~ m1_pre_topc(sK21,sK20)
    | ~ v2_pre_topc(sK20) ),
    inference(resolution,[],[f909,f416]) ).

fof(f416,plain,
    ! [X2,X0,X1] :
      ( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v3_borsuk_1(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v5_pre_topc(X2,X0,X1)
      | r1_borsuk_1(X0,X1)
      | ~ m1_pre_topc(X1,X0)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f280,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( v3_struct_0(X1)
          | ~ m1_pre_topc(X1,X0)
          | ( ( r1_borsuk_1(X0,X1)
              | ! [X2] :
                  ( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X2)
                  | ~ v5_pre_topc(X2,X0,X1)
                  | ~ v3_borsuk_1(X2,X0,X1) ) )
            & ( ( v1_funct_2(sK15(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
                & m2_relset_1(sK15(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(sK15(X0,X1))
                & v5_pre_topc(sK15(X0,X1),X0,X1)
                & v3_borsuk_1(sK15(X0,X1),X0,X1) )
              | ~ r1_borsuk_1(X0,X1) ) ) )
      | ~ v2_pre_topc(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f278,f279]) ).

fof(f279,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
          & m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
          & v1_funct_1(X3)
          & v5_pre_topc(X3,X0,X1)
          & v3_borsuk_1(X3,X0,X1) )
     => ( v1_funct_2(sK15(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & m2_relset_1(sK15(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(sK15(X0,X1))
        & v5_pre_topc(sK15(X0,X1),X0,X1)
        & v3_borsuk_1(sK15(X0,X1),X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f278,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( v3_struct_0(X1)
          | ~ m1_pre_topc(X1,X0)
          | ( ( r1_borsuk_1(X0,X1)
              | ! [X2] :
                  ( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X2)
                  | ~ v5_pre_topc(X2,X0,X1)
                  | ~ v3_borsuk_1(X2,X0,X1) ) )
            & ( ? [X3] :
                  ( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                  & m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
                  & v1_funct_1(X3)
                  & v5_pre_topc(X3,X0,X1)
                  & v3_borsuk_1(X3,X0,X1) )
              | ~ r1_borsuk_1(X0,X1) ) ) )
      | ~ v2_pre_topc(X0) ),
    inference(rectify,[],[f277]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( v3_struct_0(X1)
          | ~ m1_pre_topc(X1,X0)
          | ( ( r1_borsuk_1(X0,X1)
              | ! [X2] :
                  ( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X2)
                  | ~ v5_pre_topc(X2,X0,X1)
                  | ~ v3_borsuk_1(X2,X0,X1) ) )
            & ( ? [X2] :
                  ( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  & v1_funct_1(X2)
                  & v5_pre_topc(X2,X0,X1)
                  & v3_borsuk_1(X2,X0,X1) )
              | ~ r1_borsuk_1(X0,X1) ) ) )
      | ~ v2_pre_topc(X0) ),
    inference(nnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( v3_struct_0(X1)
          | ~ m1_pre_topc(X1,X0)
          | ( r1_borsuk_1(X0,X1)
          <=> ? [X2] :
                ( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2)
                & v5_pre_topc(X2,X0,X1)
                & v3_borsuk_1(X2,X0,X1) ) ) )
      | ~ v2_pre_topc(X0) ),
    inference(flattening,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r1_borsuk_1(X0,X1)
          <=> ? [X2] :
                ( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2)
                & v5_pre_topc(X2,X0,X1)
                & v3_borsuk_1(X2,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) )
         => ( r1_borsuk_1(X0,X1)
          <=> ? [X2] :
                ( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2)
                & v5_pre_topc(X2,X0,X1)
                & v3_borsuk_1(X2,X0,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).

fof(f909,plain,
    m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)),
    inference(subsumption_resolution,[],[f908,f467]) ).

fof(f908,plain,
    ( m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | ~ l1_pre_topc(sK20) ),
    inference(subsumption_resolution,[],[f907,f472]) ).

fof(f907,plain,
    ( m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | v3_struct_0(sK20)
    | ~ l1_pre_topc(sK20) ),
    inference(subsumption_resolution,[],[f906,f471]) ).

fof(f906,plain,
    ( ~ m2_tsp_1(sK21,sK20)
    | ~ l1_pre_topc(sK20)
    | v3_struct_0(sK20)
    | m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21)) ),
    inference(subsumption_resolution,[],[f905,f469]) ).

fof(f905,plain,
    ( v3_struct_0(sK21)
    | ~ m2_tsp_1(sK21,sK20)
    | ~ l1_pre_topc(sK20)
    | m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | v3_struct_0(sK20) ),
    inference(subsumption_resolution,[],[f904,f473]) ).

fof(f904,plain,
    ( m2_relset_1(sK14(sK20,sK21),u1_struct_0(sK20),u1_struct_0(sK21))
    | ~ v2_pre_topc(sK20)
    | ~ l1_pre_topc(sK20)
    | v3_struct_0(sK21)
    | v3_struct_0(sK20)
    | ~ m2_tsp_1(sK21,sK20) ),
    inference(resolution,[],[f402,f468]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( ~ v2_tsp_2(X1,X0)
      | ~ v2_pre_topc(X0)
      | ~ m2_tsp_1(X1,X0)
      | v3_struct_0(X1)
      | ~ l1_pre_topc(X0)
      | m2_relset_1(sK14(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f275]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 14:34:54 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (4010)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49  % (4012)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (4015)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (4023)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)
% 0.20/0.50  % (4010)Refutation not found, incomplete strategy% (4010)------------------------------
% 0.20/0.50  % (4010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (4026)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51  % (4036)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.51  % (4018)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (4031)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (4028)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [1]
% 0.20/0.52  % (4020)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (4013)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (4010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (4010)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (4010)Memory used [KB]: 5756
% 0.20/0.52  % (4010)Time elapsed: 0.104 s
% 0.20/0.52  % (4010)Instructions burned: 13 (million)
% 0.20/0.52  % (4010)------------------------------
% 0.20/0.52  % (4010)------------------------------
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (4009)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52  % (4032)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)
% 0.20/0.52  TRYING [3]
% 0.20/0.53  % (4014)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (4035)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)
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (4011)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (4022)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (4037)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (4034)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (4033)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (4025)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)
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (4029)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54  % (4024)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)
% 0.20/0.54  % (4027)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (4038)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (4017)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (4017)Instruction limit reached!
% 0.20/0.54  % (4017)------------------------------
% 0.20/0.54  % (4017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (4017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (4017)Termination reason: Unknown
% 0.20/0.54  % (4017)Termination phase: Preprocessing 2
% 0.20/0.54  
% 0.20/0.54  % (4017)Memory used [KB]: 1023
% 0.20/0.54  % (4017)Time elapsed: 0.002 s
% 0.20/0.54  % (4017)Instructions burned: 2 (million)
% 0.20/0.54  % (4017)------------------------------
% 0.20/0.54  % (4017)------------------------------
% 0.20/0.54  % (4021)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (4019)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (4016)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (4030)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  TRYING [4]
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (4013)First to succeed.
% 0.20/0.55  TRYING [3]
% 0.20/0.56  % (4013)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Theorem for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (4013)------------------------------
% 0.20/0.56  % (4013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (4013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (4013)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (4013)Memory used [KB]: 6012
% 0.20/0.56  % (4013)Time elapsed: 0.141 s
% 0.20/0.56  % (4013)Instructions burned: 16 (million)
% 0.20/0.56  % (4013)------------------------------
% 0.20/0.56  % (4013)------------------------------
% 0.20/0.56  % (4008)Success in time 0.204 s
%------------------------------------------------------------------------------