TSTP Solution File: TOP034+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : TOP034+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 : Fri May  3 03:40:58 EDT 2024

% Result   : Theorem 1.33s 1.17s
% Output   : CNFRefutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   66 (  16 unt;   0 def)
%            Number of atoms       :  429 (  15 equ)
%            Maximal formula atoms :   17 (   6 avg)
%            Number of connectives :  567 ( 204   ~; 234   |; 111   &)
%                                         (   5 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  100 (   0 sgn  52   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [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) )
         => r1_borsuk_1(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

fof(f2,negated_conjecture,
    ~ ! [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) )
           => r1_borsuk_1(X0,X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

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

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

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)
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v5_pre_topc(X2,X0,X1)
              & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v1_funct_1(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).

fof(f127,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_borsuk_1(X0,X1)
          & 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,[],[f2]) ).

fof(f128,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_borsuk_1(X0,X1)
          & 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(flattening,[],[f127]) ).

fof(f190,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r1_borsuk_1(X0,X1)
          <=> ? [X2] :
                ( v3_borsuk_1(X2,X0,X1)
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(X2,X0,X1)
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f191,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r1_borsuk_1(X0,X1)
          <=> ? [X2] :
                ( v3_borsuk_1(X2,X0,X1)
                & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(X2,X0,X1)
                & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(X2) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f190]) ).

fof(f218,plain,
    ! [X0] :
      ( ! [X1] :
          ( m2_tsp_1(X1,X0)
        <=> m1_pre_topc(X1,X0) )
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f220,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( v3_borsuk_1(X2,X0,X1)
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v5_pre_topc(X2,X0,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(f221,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( v3_borsuk_1(X2,X0,X1)
              & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
              & v5_pre_topc(X2,X0,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(flattening,[],[f220]) ).

fof(f235,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ r1_borsuk_1(X0,X1)
            & 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) )
   => ( ? [X1] :
          ( ~ r1_borsuk_1(sK2,X1)
          & m2_tsp_1(X1,sK2)
          & v2_tsp_2(X1,sK2)
          & ~ v3_struct_0(X1) )
      & l1_pre_topc(sK2)
      & v2_pre_topc(sK2)
      & ~ v3_struct_0(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f236,plain,
    ( ? [X1] :
        ( ~ r1_borsuk_1(sK2,X1)
        & m2_tsp_1(X1,sK2)
        & v2_tsp_2(X1,sK2)
        & ~ v3_struct_0(X1) )
   => ( ~ r1_borsuk_1(sK2,sK3)
      & m2_tsp_1(sK3,sK2)
      & v2_tsp_2(sK3,sK2)
      & ~ v3_struct_0(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f237,plain,
    ( ~ r1_borsuk_1(sK2,sK3)
    & m2_tsp_1(sK3,sK2)
    & v2_tsp_2(sK3,sK2)
    & ~ v3_struct_0(sK3)
    & l1_pre_topc(sK2)
    & v2_pre_topc(sK2)
    & ~ v3_struct_0(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f128,f236,f235]) ).

fof(f239,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r1_borsuk_1(X0,X1)
              | ! [X2] :
                  ( ~ v3_borsuk_1(X2,X0,X1)
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v5_pre_topc(X2,X0,X1)
                  | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X2) ) )
            & ( ? [X2] :
                  ( v3_borsuk_1(X2,X0,X1)
                  & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  & v5_pre_topc(X2,X0,X1)
                  & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  & v1_funct_1(X2) )
              | ~ r1_borsuk_1(X0,X1) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f191]) ).

fof(f240,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r1_borsuk_1(X0,X1)
              | ! [X2] :
                  ( ~ v3_borsuk_1(X2,X0,X1)
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v5_pre_topc(X2,X0,X1)
                  | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X2) ) )
            & ( ? [X3] :
                  ( v3_borsuk_1(X3,X0,X1)
                  & m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
                  & v5_pre_topc(X3,X0,X1)
                  & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
                  & v1_funct_1(X3) )
              | ~ r1_borsuk_1(X0,X1) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(rectify,[],[f239]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( v3_borsuk_1(X3,X0,X1)
          & m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
          & v5_pre_topc(X3,X0,X1)
          & v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
          & v1_funct_1(X3) )
     => ( v3_borsuk_1(sK4(X0,X1),X0,X1)
        & m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v5_pre_topc(sK4(X0,X1),X0,X1)
        & v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(sK4(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f242,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( r1_borsuk_1(X0,X1)
              | ! [X2] :
                  ( ~ v3_borsuk_1(X2,X0,X1)
                  | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v5_pre_topc(X2,X0,X1)
                  | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
                  | ~ v1_funct_1(X2) ) )
            & ( ( v3_borsuk_1(sK4(X0,X1),X0,X1)
                & m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
                & v5_pre_topc(sK4(X0,X1),X0,X1)
                & v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
                & v1_funct_1(sK4(X0,X1)) )
              | ~ r1_borsuk_1(X0,X1) ) )
          | ~ m1_pre_topc(X1,X0)
          | v3_struct_0(X1) )
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f240,f241]) ).

fof(f283,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_tsp_1(X1,X0)
            | ~ m1_pre_topc(X1,X0) )
          & ( m1_pre_topc(X1,X0)
            | ~ m2_tsp_1(X1,X0) ) )
      | ~ l1_pre_topc(X0) ),
    inference(nnf_transformation,[],[f218]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( v3_borsuk_1(X2,X0,X1)
          & m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
          & v5_pre_topc(X2,X0,X1)
          & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
          & v1_funct_1(X2) )
     => ( v3_borsuk_1(sK24(X0,X1),X0,X1)
        & m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v5_pre_topc(sK24(X0,X1),X0,X1)
        & v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
        & v1_funct_1(sK24(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f285,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( v3_borsuk_1(sK24(X0,X1),X0,X1)
            & m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
            & v5_pre_topc(sK24(X0,X1),X0,X1)
            & v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
            & v1_funct_1(sK24(X0,X1)) )
          | ~ 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(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f221,f284]) ).

fof(f286,plain,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f237]) ).

fof(f287,plain,
    v2_pre_topc(sK2),
    inference(cnf_transformation,[],[f237]) ).

fof(f288,plain,
    l1_pre_topc(sK2),
    inference(cnf_transformation,[],[f237]) ).

fof(f289,plain,
    ~ v3_struct_0(sK3),
    inference(cnf_transformation,[],[f237]) ).

fof(f290,plain,
    v2_tsp_2(sK3,sK2),
    inference(cnf_transformation,[],[f237]) ).

fof(f291,plain,
    m2_tsp_1(sK3,sK2),
    inference(cnf_transformation,[],[f237]) ).

fof(f292,plain,
    ~ r1_borsuk_1(sK2,sK3),
    inference(cnf_transformation,[],[f237]) ).

fof(f398,plain,
    ! [X2,X0,X1] :
      ( r1_borsuk_1(X0,X1)
      | ~ v3_borsuk_1(X2,X0,X1)
      | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v5_pre_topc(X2,X0,X1)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ v1_funct_1(X2)
      | ~ m1_pre_topc(X1,X0)
      | v3_struct_0(X1)
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f469,plain,
    ! [X0,X1] :
      ( m1_pre_topc(X1,X0)
      | ~ m2_tsp_1(X1,X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f283]) ).

fof(f473,plain,
    ! [X0,X1] :
      ( v1_funct_1(sK24(X0,X1))
      | ~ 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(cnf_transformation,[],[f285]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
      | ~ 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(cnf_transformation,[],[f285]) ).

fof(f475,plain,
    ! [X0,X1] :
      ( v5_pre_topc(sK24(X0,X1),X0,X1)
      | ~ 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(cnf_transformation,[],[f285]) ).

fof(f476,plain,
    ! [X0,X1] :
      ( m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
      | ~ 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(cnf_transformation,[],[f285]) ).

fof(f477,plain,
    ! [X0,X1] :
      ( v3_borsuk_1(sK24(X0,X1),X0,X1)
      | ~ 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(cnf_transformation,[],[f285]) ).

cnf(c_49,negated_conjecture,
    ~ r1_borsuk_1(sK2,sK3),
    inference(cnf_transformation,[],[f292]) ).

cnf(c_50,negated_conjecture,
    m2_tsp_1(sK3,sK2),
    inference(cnf_transformation,[],[f291]) ).

cnf(c_51,negated_conjecture,
    v2_tsp_2(sK3,sK2),
    inference(cnf_transformation,[],[f290]) ).

cnf(c_52,negated_conjecture,
    ~ v3_struct_0(sK3),
    inference(cnf_transformation,[],[f289]) ).

cnf(c_53,negated_conjecture,
    l1_pre_topc(sK2),
    inference(cnf_transformation,[],[f288]) ).

cnf(c_54,negated_conjecture,
    v2_pre_topc(sK2),
    inference(cnf_transformation,[],[f287]) ).

cnf(c_55,negated_conjecture,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f286]) ).

cnf(c_124,plain,
    ( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v3_borsuk_1(X0,X1,X2)
    | ~ v5_pre_topc(X0,X1,X2)
    | ~ m1_pre_topc(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ v1_funct_1(X0)
    | r1_borsuk_1(X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2) ),
    inference(cnf_transformation,[],[f398]) ).

cnf(c_201,plain,
    ( ~ m2_tsp_1(X0,X1)
    | ~ l1_pre_topc(X1)
    | m1_pre_topc(X0,X1) ),
    inference(cnf_transformation,[],[f469]) ).

cnf(c_204,plain,
    ( ~ m2_tsp_1(X0,X1)
    | ~ v2_tsp_2(X0,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | v3_borsuk_1(sK24(X1,X0),X1,X0)
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_205,plain,
    ( ~ m2_tsp_1(X0,X1)
    | ~ v2_tsp_2(X0,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | m2_relset_1(sK24(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_206,plain,
    ( ~ m2_tsp_1(X0,X1)
    | ~ v2_tsp_2(X0,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | v5_pre_topc(sK24(X1,X0),X1,X0)
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_207,plain,
    ( ~ m2_tsp_1(X0,X1)
    | ~ v2_tsp_2(X0,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | v1_funct_2(sK24(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_208,plain,
    ( ~ m2_tsp_1(X0,X1)
    | ~ v2_tsp_2(X0,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | v1_funct_1(sK24(X1,X0))
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_2698,plain,
    ( X0 != sK2
    | X1 != sK3
    | ~ m2_tsp_1(X1,X0)
    | ~ l1_pre_topc(X0)
    | ~ v2_pre_topc(X0)
    | v1_funct_1(sK24(X0,X1))
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_208]) ).

cnf(c_2699,plain,
    ( ~ m2_tsp_1(sK3,sK2)
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | v1_funct_1(sK24(sK2,sK3))
    | v3_struct_0(sK2)
    | v3_struct_0(sK3) ),
    inference(unflattening,[status(thm)],[c_2698]) ).

cnf(c_2705,plain,
    ( X0 != sK2
    | X1 != sK3
    | ~ m2_tsp_1(X1,X0)
    | ~ l1_pre_topc(X0)
    | ~ v2_pre_topc(X0)
    | v1_funct_2(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_207]) ).

cnf(c_2706,plain,
    ( ~ m2_tsp_1(sK3,sK2)
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | v1_funct_2(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
    | v3_struct_0(sK2)
    | v3_struct_0(sK3) ),
    inference(unflattening,[status(thm)],[c_2705]) ).

cnf(c_2712,plain,
    ( X0 != sK2
    | X1 != sK3
    | ~ m2_tsp_1(X1,X0)
    | ~ l1_pre_topc(X0)
    | ~ v2_pre_topc(X0)
    | v5_pre_topc(sK24(X0,X1),X0,X1)
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_206]) ).

cnf(c_2713,plain,
    ( ~ m2_tsp_1(sK3,sK2)
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | v5_pre_topc(sK24(sK2,sK3),sK2,sK3)
    | v3_struct_0(sK2)
    | v3_struct_0(sK3) ),
    inference(unflattening,[status(thm)],[c_2712]) ).

cnf(c_2719,plain,
    ( X0 != sK2
    | X1 != sK3
    | ~ m2_tsp_1(X1,X0)
    | ~ l1_pre_topc(X0)
    | ~ v2_pre_topc(X0)
    | m2_relset_1(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_205]) ).

cnf(c_2720,plain,
    ( ~ m2_tsp_1(sK3,sK2)
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | m2_relset_1(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
    | v3_struct_0(sK2)
    | v3_struct_0(sK3) ),
    inference(unflattening,[status(thm)],[c_2719]) ).

cnf(c_2726,plain,
    ( X0 != sK2
    | X1 != sK3
    | ~ m2_tsp_1(X1,X0)
    | ~ l1_pre_topc(X0)
    | ~ v2_pre_topc(X0)
    | v3_borsuk_1(sK24(X0,X1),X0,X1)
    | v3_struct_0(X0)
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_204]) ).

cnf(c_2727,plain,
    ( ~ m2_tsp_1(sK3,sK2)
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | v3_borsuk_1(sK24(sK2,sK3),sK2,sK3)
    | v3_struct_0(sK2)
    | v3_struct_0(sK3) ),
    inference(unflattening,[status(thm)],[c_2726]) ).

cnf(c_2728,plain,
    v3_borsuk_1(sK24(sK2,sK3),sK2,sK3),
    inference(global_subsumption_just,[status(thm)],[c_2727,c_54,c_53,c_55,c_52,c_50,c_2727]) ).

cnf(c_2742,plain,
    ( X0 != sK2
    | X1 != sK3
    | ~ l1_pre_topc(X0)
    | m1_pre_topc(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_201]) ).

cnf(c_2743,plain,
    ( ~ l1_pre_topc(sK2)
    | m1_pre_topc(sK3,sK2) ),
    inference(unflattening,[status(thm)],[c_2742]) ).

cnf(c_2782,plain,
    ( sK24(sK2,sK3) != X0
    | X1 != sK2
    | X2 != sK3
    | ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v5_pre_topc(X0,X1,X2)
    | ~ m1_pre_topc(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ v1_funct_1(X0)
    | r1_borsuk_1(X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2) ),
    inference(resolution_lifted,[status(thm)],[c_124,c_2728]) ).

cnf(c_2783,plain,
    ( ~ m2_relset_1(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
    | ~ v1_funct_2(sK24(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
    | ~ v5_pre_topc(sK24(sK2,sK3),sK2,sK3)
    | ~ v1_funct_1(sK24(sK2,sK3))
    | ~ m1_pre_topc(sK3,sK2)
    | ~ l1_pre_topc(sK2)
    | ~ v2_pre_topc(sK2)
    | r1_borsuk_1(sK2,sK3)
    | v3_struct_0(sK2)
    | v3_struct_0(sK3) ),
    inference(unflattening,[status(thm)],[c_2782]) ).

cnf(c_2784,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2783,c_2743,c_2720,c_2713,c_2706,c_2699,c_49,c_50,c_52,c_55,c_53,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : TOP034+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 21:02:25 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.33/1.17  % SZS status Started for theBenchmark.p
% 1.33/1.17  % SZS status Theorem for theBenchmark.p
% 1.33/1.17  
% 1.33/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.33/1.17  
% 1.33/1.17  ------  iProver source info
% 1.33/1.17  
% 1.33/1.17  git: date: 2024-05-02 19:28:25 +0000
% 1.33/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.33/1.17  git: non_committed_changes: false
% 1.33/1.17  
% 1.33/1.17  ------ Parsing...
% 1.33/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.33/1.17  
% 1.33/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 66 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s
% 1.33/1.17  
% 1.33/1.17  % SZS status Theorem for theBenchmark.p
% 1.33/1.17  
% 1.33/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.33/1.18  
% 1.33/1.18  
%------------------------------------------------------------------------------