TSTP Solution File: TOP035+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : TOP035+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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  : 600s
% DateTime : Thu Jul 21 21:25:31 EDT 2022

% Result   : Theorem 1.37s 94.55s
% Output   : CNFRefutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   40 (  14 unt;   0 def)
%            Number of atoms       :  269 (  20 equ)
%            Maximal formula atoms :   28 (   6 avg)
%            Number of connectives :  382 ( 153   ~; 161   |;  44   &)
%                                         (   2 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-4 aty)
%            Number of variables   :   59 (   1 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t24_tsp_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_tsp_2(X2,X1)
            & m2_tsp_1(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ! [X4] :
                  ( m1_subset_1(X4,u1_struct_0(X2))
                 => ( X3 = X4
                   => k5_pre_topc(X1,X2,k1_tsp_2(X1,X2),k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X3)) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t24_tsp_2) ).

fof(l33_tsp_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_tsp_2(X2,X1)
            & m2_tsp_1(X2,X1) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v5_pre_topc(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( v3_borsuk_1(X3,X1,X2)
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X1))
                   => ! [X5] :
                        ( m1_subset_1(X5,u1_struct_0(X2))
                       => ( X4 = X5
                         => k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X5))) = k6_pre_topc(X1,k1_struct_0(X1,X4)) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',l33_tsp_2) ).

fof(dt_k1_tsp_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1)
        & ~ v3_struct_0(X2)
        & v2_tsp_2(X2,X1)
        & m1_pre_topc(X2,X1) )
     => ( v1_funct_1(k1_tsp_2(X1,X2))
        & v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
        & v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
        & m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k1_tsp_2) ).

fof(d9_tsp_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_tsp_2(X2,X1)
            & m2_tsp_1(X2,X1) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v5_pre_topc(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( X3 = k1_tsp_2(X1,X2)
              <=> v3_borsuk_1(X3,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d9_tsp_2) ).

fof(redefinition_m2_tsp_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m2_tsp_1(X2,X1)
        <=> m1_pre_topc(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+406.ax',redefinition_m2_tsp_1) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v2_tsp_2(X2,X1)
              & m2_tsp_1(X2,X1) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X2))
                   => ( X3 = X4
                     => k5_pre_topc(X1,X2,k1_tsp_2(X1,X2),k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X3)) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t24_tsp_2]) ).

fof(c_0_6,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_pre_topc(esk1_0)
    & l1_pre_topc(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v2_tsp_2(esk2_0,esk1_0)
    & m2_tsp_1(esk2_0,esk1_0)
    & m1_subset_1(esk3_0,u1_struct_0(esk1_0))
    & m1_subset_1(esk4_0,u1_struct_0(esk2_0))
    & esk3_0 = esk4_0
    & k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,esk4_0))) != k6_pre_topc(esk1_0,k1_struct_0(esk1_0,esk3_0)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])]) ).

fof(c_0_7,plain,
    ! [X6,X7,X8,X9,X10] :
      ( v3_struct_0(X6)
      | ~ v2_pre_topc(X6)
      | ~ l1_pre_topc(X6)
      | v3_struct_0(X7)
      | ~ v2_tsp_2(X7,X6)
      | ~ m2_tsp_1(X7,X6)
      | ~ v1_funct_1(X8)
      | ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
      | ~ v5_pre_topc(X8,X6,X7)
      | ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
      | ~ v3_borsuk_1(X8,X6,X7)
      | ~ m1_subset_1(X9,u1_struct_0(X6))
      | ~ m1_subset_1(X10,u1_struct_0(X7))
      | X9 != X10
      | k5_pre_topc(X6,X7,X8,k6_pre_topc(X7,k1_struct_0(X7,X10))) = k6_pre_topc(X6,k1_struct_0(X6,X9)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[l33_tsp_2])])])])])]) ).

cnf(c_0_8,negated_conjecture,
    k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,esk4_0))) != k6_pre_topc(esk1_0,k1_struct_0(esk1_0,esk3_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    esk3_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X5))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | X5 != X4
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ m1_subset_1(X5,u1_struct_0(X1))
    | ~ v3_borsuk_1(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v5_pre_topc(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,esk3_0))) != k6_pre_topc(esk1_0,k1_struct_0(esk1_0,esk3_0)),
    inference(rw,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X4))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v3_borsuk_1(X3,X1,X2)
    | ~ v5_pre_topc(X3,X1,X2)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X2)) ),
    inference(er,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    v2_tsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,negated_conjecture,
    m2_tsp_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_18,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
    inference(rw,[status(thm)],[c_0_11,c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_22,plain,
    ! [X3,X4] :
      ( ( v1_funct_1(k1_tsp_2(X3,X4))
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3)
        | v3_struct_0(X4)
        | ~ v2_tsp_2(X4,X3)
        | ~ m1_pre_topc(X4,X3) )
      & ( v1_funct_2(k1_tsp_2(X3,X4),u1_struct_0(X3),u1_struct_0(X4))
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3)
        | v3_struct_0(X4)
        | ~ v2_tsp_2(X4,X3)
        | ~ m1_pre_topc(X4,X3) )
      & ( v5_pre_topc(k1_tsp_2(X3,X4),X3,X4)
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3)
        | v3_struct_0(X4)
        | ~ v2_tsp_2(X4,X3)
        | ~ m1_pre_topc(X4,X3) )
      & ( m2_relset_1(k1_tsp_2(X3,X4),u1_struct_0(X3),u1_struct_0(X4))
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3)
        | v3_struct_0(X4)
        | ~ v2_tsp_2(X4,X3)
        | ~ m1_pre_topc(X4,X3) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_tsp_2])])])]) ).

fof(c_0_23,plain,
    ! [X4,X5,X6] :
      ( ( X6 != k1_tsp_2(X4,X5)
        | v3_borsuk_1(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ v5_pre_topc(X6,X4,X5)
        | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v2_tsp_2(X5,X4)
        | ~ m2_tsp_1(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) )
      & ( ~ v3_borsuk_1(X6,X4,X5)
        | X6 = k1_tsp_2(X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ v5_pre_topc(X6,X4,X5)
        | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v2_tsp_2(X5,X4)
        | ~ m2_tsp_1(X5,X4)
        | v3_struct_0(X4)
        | ~ v2_pre_topc(X4)
        | ~ l1_pre_topc(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d9_tsp_2])])])])])])]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ v3_borsuk_1(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ v5_pre_topc(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ v1_funct_2(k1_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ m2_relset_1(k1_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_1(k1_tsp_2(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19])]),c_0_20]),c_0_21]) ).

cnf(c_0_25,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(k1_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_26,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v3_borsuk_1(X3,X1,X2)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v5_pre_topc(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | X3 != k1_tsp_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ v3_borsuk_1(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ v5_pre_topc(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ v1_funct_2(k1_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_1(k1_tsp_2(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_24,c_0_25]),c_0_14]),c_0_16]),c_0_17])]),c_0_21]),c_0_20]) ).

cnf(c_0_28,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(k1_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    ( v3_borsuk_1(k1_tsp_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
    | ~ m1_pre_topc(X2,X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(k1_tsp_2(X1,X2)) ),
    inference(pm,[status(thm)],[c_0_26,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ v3_borsuk_1(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ v5_pre_topc(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ v1_funct_1(k1_tsp_2(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_27,c_0_28]),c_0_14]),c_0_16]),c_0_17])]),c_0_21]),c_0_20]) ).

cnf(c_0_31,plain,
    ( v3_borsuk_1(k1_tsp_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
    | ~ m1_pre_topc(X2,X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ v1_funct_1(k1_tsp_2(X1,X2)) ),
    inference(pm,[status(thm)],[c_0_29,c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ v5_pre_topc(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
    | ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ v1_funct_1(k1_tsp_2(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_31]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),c_0_20]),c_0_21]) ).

cnf(c_0_33,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_pre_topc(k1_tsp_2(X2,X1),X2,X1)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ m1_pre_topc(esk2_0,esk1_0)
    | ~ v1_funct_1(k1_tsp_2(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_32,c_0_33]),c_0_14]),c_0_16]),c_0_17])]),c_0_21]),c_0_20]) ).

cnf(c_0_35,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(k1_tsp_2(X2,X1))
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_36,plain,
    ! [X3,X4,X4] :
      ( ( ~ m2_tsp_1(X4,X3)
        | m1_pre_topc(X4,X3)
        | ~ l1_pre_topc(X3) )
      & ( ~ m1_pre_topc(X4,X3)
        | m2_tsp_1(X4,X3)
        | ~ l1_pre_topc(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])])])]) ).

cnf(c_0_37,negated_conjecture,
    ~ m1_pre_topc(esk2_0,esk1_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_35]),c_0_14]),c_0_16]),c_0_17])]),c_0_21]),c_0_20]) ).

cnf(c_0_38,plain,
    ( m1_pre_topc(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_37,c_0_38]),c_0_15]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : TOP035+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n018.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  : 600
% 0.13/0.34  % DateTime : Sun May 29 04:54:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.98/24.04  eprover: CPU time limit exceeded, terminating
% 0.98/24.05  eprover: CPU time limit exceeded, terminating
% 0.98/24.05  eprover: CPU time limit exceeded, terminating
% 0.98/24.06  eprover: CPU time limit exceeded, terminating
% 1.12/47.06  eprover: CPU time limit exceeded, terminating
% 1.12/47.07  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.12/47.07  
% 1.12/47.08  eprover: CPU time limit exceeded, terminating
% 1.24/70.08  eprover: CPU time limit exceeded, terminating
% 1.24/70.08  eprover: CPU time limit exceeded, terminating
% 1.24/70.09  eprover: CPU time limit exceeded, terminating
% 1.24/70.10  eprover: CPU time limit exceeded, terminating
% 1.37/93.11  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.37/93.11  
% 1.37/93.11  eprover: CPU time limit exceeded, terminating
% 1.37/93.12  eprover: CPU time limit exceeded, terminating
% 1.37/94.55  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.37/94.55  
% 1.37/94.55  # Failure: Resource limit exceeded (time)
% 1.37/94.55  # OLD status Res
% 1.37/94.55  # Preprocessing time       : 2.395 s
% 1.37/94.55  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.37/94.55  
% 1.37/94.55  # Failure: Resource limit exceeded (time)
% 1.37/94.55  # OLD status Res
% 1.37/94.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.37/94.55  # Preprocessing time       : 0.553 s
% 1.37/94.55  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.37/94.55  
% 1.37/94.55  # Failure: Resource limit exceeded (time)
% 1.37/94.55  # OLD status Res
% 1.37/94.55  # Preprocessing time       : 2.258 s
% 1.37/94.55  # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.37/94.55  
% 1.37/94.55  # Failure: Resource limit exceeded (time)
% 1.37/94.55  # OLD status Res
% 1.37/94.55  # Preprocessing time       : 2.170 s
% 1.37/94.55  # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.37/94.55  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.37/94.55  # Preprocessing time       : 0.467 s
% 1.37/94.55  
% 1.37/94.55  # Proof found!
% 1.37/94.55  # SZS status Theorem
% 1.37/94.55  # SZS output start CNFRefutation
% See solution above
% 1.37/94.55  # Proof object total steps             : 40
% 1.37/94.55  # Proof object clause steps            : 29
% 1.37/94.55  # Proof object formula steps           : 11
% 1.37/94.55  # Proof object conjectures             : 22
% 1.37/94.55  # Proof object clause conjectures      : 19
% 1.37/94.55  # Proof object formula conjectures     : 3
% 1.37/94.55  # Proof object initial clauses used    : 17
% 1.37/94.55  # Proof object initial formulas used   : 5
% 1.37/94.55  # Proof object generating inferences   : 9
% 1.37/94.55  # Proof object simplifying inferences  : 46
% 1.37/94.55  # Training examples: 0 positive, 0 negative
% 1.37/94.55  # Parsed axioms                        : 13520
% 1.37/94.55  # Removed by relevancy pruning/SinE    : 13439
% 1.37/94.55  # Initial clauses                      : 240
% 1.37/94.55  # Removed in clause preprocessing      : 4
% 1.37/94.55  # Initial clauses in saturation        : 236
% 1.37/94.55  # Processed clauses                    : 850
% 1.37/94.55  # ...of these trivial                  : 21
% 1.37/94.55  # ...subsumed                          : 156
% 1.37/94.55  # ...remaining for further processing  : 673
% 1.37/94.55  # Other redundant clauses eliminated   : 14
% 1.37/94.55  # Clauses deleted for lack of memory   : 0
% 1.37/94.55  # Backward-subsumed                    : 24
% 1.37/94.55  # Backward-rewritten                   : 2
% 1.37/94.55  # Generated clauses                    : 10030
% 1.37/94.55  # ...of the previous two non-trivial   : 9699
% 1.37/94.55  # Contextual simplify-reflections      : 0
% 1.37/94.55  # Paramodulations                      : 9999
% 1.37/94.55  # Factorizations                       : 0
% 1.37/94.55  # Equation resolutions                 : 28
% 1.37/94.55  # Current number of processed clauses  : 634
% 1.37/94.55  #    Positive orientable unit clauses  : 15
% 1.37/94.55  #    Positive unorientable unit clauses: 0
% 1.37/94.55  #    Negative unit clauses             : 5
% 1.37/94.55  #    Non-unit-clauses                  : 614
% 1.37/94.55  # Current number of unprocessed clauses: 9013
% 1.37/94.55  # ...number of literals in the above   : 98608
% 1.37/94.55  # Current number of archived formulas  : 0
% 1.37/94.55  # Current number of archived clauses   : 26
% 1.37/94.55  # Clause-clause subsumption calls (NU) : 18502
% 1.37/94.55  # Rec. Clause-clause subsumption calls : 924
% 1.37/94.55  # Non-unit clause-clause subsumptions  : 180
% 1.37/94.55  # Unit Clause-clause subsumption calls : 891
% 1.37/94.55  # Rewrite failures with RHS unbound    : 0
% 1.37/94.55  # BW rewrite match attempts            : 1
% 1.37/94.55  # BW rewrite match successes           : 1
% 1.37/94.55  # Condensation attempts                : 0
% 1.37/94.55  # Condensation successes               : 0
% 1.37/94.55  # Termbank termtop insertions          : 729571
% 1.37/94.55  
% 1.37/94.55  # -------------------------------------------------
% 1.37/94.55  # User time                : 0.679 s
% 1.37/94.55  # System time              : 0.035 s
% 1.37/94.55  # Total time               : 0.714 s
% 1.37/94.55  # Maximum resident set size: 42684 pages
%------------------------------------------------------------------------------