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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:53:50 PM UTC 2026

% Result   : Theorem 0.56s 0.61s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   47 (  15 unt;   0 def)
%            Number of atoms       :  209 (  42 equ)
%            Maximal formula atoms :   31 (   4 avg)
%            Number of connectives :  273 ( 111   ~; 117   |;  22   &)
%                                         (   1 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   77 (   3 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t1_tsp_2,conjecture,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( l1_pre_topc(X2)
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => ( ( v1_tsp_2(X3,X1)
                      & X3 = X4
                      & g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) )
                   => v1_tsp_2(X4,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsp_2) ).

fof(free_g1_pre_topc,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
     => ! [X3,X4] :
          ( g1_pre_topc(X1,X2) = g1_pre_topc(X3,X4)
         => ( X2 = X4
            & X1 = X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_pre_topc) ).

fof(dt_u1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => m1_subset_1(u1_pre_topc(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_pre_topc) ).

fof(t5_tsp_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( l1_pre_topc(X2)
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => ( ( v1_tsp_1(X3,X1)
                      & X3 = X4
                      & g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) )
                   => v1_tsp_1(X4,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_1) ).

fof(d4_tsp_2,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
          <=> ( ! [X3] :
                  ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
                 => ( ( r1_tarski(X2,X3)
                      & v1_tsp_1(X3,X1) )
                   => X2 = X3 ) )
              & v1_tsp_1(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1] :
        ( l1_pre_topc(X1)
       => ! [X2] :
            ( l1_pre_topc(X2)
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
               => ! [X4] :
                    ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                   => ( ( v1_tsp_2(X3,X1)
                        & X3 = X4
                        & g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) )
                     => v1_tsp_2(X4,X2) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t1_tsp_2]) ).

fof(c_0_6,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ m1_subset_1(X14,k1_zfmisc_1(k1_zfmisc_1(X13)))
        | g1_pre_topc(X13,X14) != g1_pre_topc(X15,X16)
        | X14 = X16 )
      & ( ~ m1_subset_1(X14,k1_zfmisc_1(k1_zfmisc_1(X13)))
        | g1_pre_topc(X13,X14) != g1_pre_topc(X15,X16)
        | X13 = X15 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_pre_topc])])])])]) ).

fof(c_0_7,negated_conjecture,
    ( ~ v1_tsp_2(esk4_0,esk2_0)
    & v1_tsp_2(esk3_0,esk1_0)
    & esk3_0 = esk4_0
    & g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk2_0))
    & m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
    & m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & l1_pre_topc(esk2_0)
    & l1_pre_topc(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

cnf(c_0_8,plain,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X3)))
    | g1_pre_topc(X3,X1) != g1_pre_topc(X4,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | g1_pre_topc(X2,X1) != g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))
    | X1 = u1_pre_topc(esk2_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

fof(c_0_11,plain,
    ! [X18] :
      ( m1_subset_1(u1_pre_topc(X18),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X18))))
      | ~ l1_pre_topc(X18) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_pre_topc])])]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ m1_subset_1(u1_pre_topc(esk1_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
    | u1_pre_topc(esk2_0) = u1_pre_topc(esk1_0) ),
    inference(er,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    ( ~ l1_pre_topc(X1)
    | m1_subset_1(u1_pre_topc(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_15,plain,
    ! [X30,X31,X32,X33] :
      ( v1_tsp_1(X33,X31)
      | ~ v1_tsp_1(X32,X30)
      | X32 != X33
      | g1_pre_topc(u1_struct_0(X30),u1_pre_topc(X30)) != g1_pre_topc(u1_struct_0(X31),u1_pre_topc(X31))
      | ~ m1_subset_1(X33,k1_zfmisc_1(u1_struct_0(X31)))
      | ~ m1_subset_1(X32,k1_zfmisc_1(u1_struct_0(X30)))
      | ~ l1_pre_topc(X31)
      | ~ l1_pre_topc(X30) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tsp_1])])])]) ).

cnf(c_0_16,negated_conjecture,
    u1_pre_topc(esk2_0) = u1_pre_topc(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_17,negated_conjecture,
    l1_pre_topc(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_18,plain,
    ( ~ v1_tsp_1(X3,X1)
    | X3 != X4
    | g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X2)
    | ~ l1_pre_topc(X1)
    | v1_tsp_1(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,plain,
    ! [X9,X10,X11] :
      ( ( ~ l1_pre_topc(X9)
        | ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X9)))
        | v1_tsp_2(X10,X9)
        | ~ v1_tsp_1(X10,X9)
        | X10 != esk5_2(X9,X10) )
      & ( ~ l1_pre_topc(X9)
        | ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X9)))
        | v1_tsp_2(X10,X9)
        | ~ v1_tsp_1(X10,X9)
        | r1_tarski(X10,esk5_2(X9,X10)) )
      & ( ~ l1_pre_topc(X9)
        | ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X9)))
        | v1_tsp_2(X10,X9)
        | ~ v1_tsp_1(X10,X9)
        | v1_tsp_1(esk5_2(X9,X10),X9) )
      & ( ~ l1_pre_topc(X9)
        | ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X9)))
        | v1_tsp_2(X10,X9)
        | ~ v1_tsp_1(X10,X9)
        | m1_subset_1(esk5_2(X9,X10),k1_zfmisc_1(u1_struct_0(X9))) )
      & ( ~ l1_pre_topc(X9)
        | ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X9)))
        | ~ v1_tsp_2(X10,X9)
        | X10 = X11
        | ~ r1_tarski(X10,X11)
        | ~ v1_tsp_1(X11,X9)
        | ~ m1_subset_1(X11,k1_zfmisc_1(u1_struct_0(X9))) )
      & ( ~ l1_pre_topc(X9)
        | ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X9)))
        | ~ v1_tsp_2(X10,X9)
        | v1_tsp_1(X10,X9) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_tsp_2])])])])])]) ).

cnf(c_0_20,plain,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | g1_pre_topc(X1,X3) != g1_pre_topc(X2,X4)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,negated_conjecture,
    g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)),
    inference(rw,[status(thm)],[c_0_9,c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    m1_subset_1(u1_pre_topc(esk1_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk2_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_16]),c_0_17])]) ).

cnf(c_0_23,plain,
    ( ~ l1_pre_topc(X3)
    | ~ l1_pre_topc(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_tsp_1(X1,X3)
    | g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
    | v1_tsp_1(X1,X2) ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_24,plain,
    ( ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_1(X2,X1)
    | v1_tsp_2(X2,X1)
    | v1_tsp_1(esk5_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    ( ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_1(X2,X1)
    | v1_tsp_2(X2,X1)
    | m1_subset_1(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    ( g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) != g1_pre_topc(X1,X2)
    | u1_struct_0(esk2_0) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_27,plain,
    ( ~ l1_pre_topc(X1)
    | ~ l1_pre_topc(X3)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ v1_tsp_1(X2,X1)
    | g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3))
    | v1_tsp_2(X2,X1)
    | v1_tsp_1(esk5_2(X1,X2),X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
    inference(er,[status(thm)],[c_0_26]) ).

cnf(c_0_29,plain,
    ( ~ l1_pre_topc(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_tsp_2(X1,X2)
    | v1_tsp_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30,negated_conjecture,
    v1_tsp_2(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_31,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_32,plain,
    ( ~ l1_pre_topc(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_tsp_2(X3,X2)
    | ~ r1_tarski(X3,X1)
    | ~ v1_tsp_1(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | X3 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_33,plain,
    ( ~ l1_pre_topc(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_tsp_1(X1,X2)
    | v1_tsp_2(X1,X2)
    | r1_tarski(X1,esk5_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_34,plain,
    ( ~ l1_pre_topc(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_tsp_1(X1,X2)
    | X1 != esk5_2(X2,X1)
    | v1_tsp_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ l1_pre_topc(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(esk5_2(esk2_0,X1),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_tsp_1(X1,esk2_0)
    | g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
    | v1_tsp_2(X1,esk2_0)
    | v1_tsp_1(esk5_2(esk2_0,X1),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_16]),c_0_28]),c_0_28]),c_0_17])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ v1_tsp_1(X1,esk2_0)
    | m1_subset_1(esk5_2(esk2_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | v1_tsp_2(X1,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_28]),c_0_17])]) ).

cnf(c_0_37,negated_conjecture,
    v1_tsp_1(esk3_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_14])]) ).

cnf(c_0_38,negated_conjecture,
    ~ v1_tsp_2(esk4_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_39,negated_conjecture,
    esk3_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_40,plain,
    ( ~ l1_pre_topc(X2)
    | ~ l1_pre_topc(X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(esk5_2(X2,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ v1_tsp_2(X1,X3)
    | ~ v1_tsp_1(X1,X2)
    | ~ v1_tsp_1(esk5_2(X2,X1),X3)
    | v1_tsp_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ v1_tsp_1(X1,esk2_0)
    | v1_tsp_2(X1,esk2_0)
    | v1_tsp_1(esk5_2(esk2_0,X1),esk1_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_35]),c_0_14])]),c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ l1_pre_topc(X1)
    | ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(X1)))
    | g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
    | v1_tsp_1(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_37]),c_0_31]),c_0_14])]) ).

cnf(c_0_43,negated_conjecture,
    ~ v1_tsp_2(esk3_0,esk2_0),
    inference(rw,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ v1_tsp_2(X1,esk1_0)
    | ~ v1_tsp_1(X1,esk2_0)
    | v1_tsp_2(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_28]),c_0_14]),c_0_17])]),c_0_36]) ).

cnf(c_0_45,negated_conjecture,
    v1_tsp_1(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_16]),c_0_28]),c_0_28]),c_0_31]),c_0_17])]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_30]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43  % Computer : n014.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Mon Sep 21 12:39:49 UTC 2026
% 0.17/0.44  % CPUTime  : 
% 0.17/0.44  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.51  Running first-order theorem proving
% 0.25/0.51  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.61  % Version: 3.5.1
% 0.56/0.61  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.56/0.61  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.56/0.61  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.56/0.61  % Starting new_bool_3 with 300s (1) cores
% 0.56/0.61  % Starting new_bool_1 with 300s (1) cores
% 0.56/0.61  % Starting sh5l with 300s (1) cores
% 0.56/0.61  % new_bool_3 with pid 4069877 completed with status 0
% 0.56/0.61  % Result found by new_bool_3
% 0.56/0.61  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.56/0.61  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.56/0.61  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.56/0.61  % Starting new_bool_3 with 300s (1) cores
% 0.56/0.61  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.56/0.61  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.56/0.61  % Search class: FGUSM-FFMM21-MFFFFFNN
% 0.56/0.61  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.56/0.61  % Starting SubtermCWHack with 31s (1) cores
% 0.56/0.61  % SubtermCWHack with pid 4069881 completed with status 0
% 0.56/0.61  % Result found by SubtermCWHack
% 0.56/0.61  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.56/0.61  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.56/0.61  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.56/0.61  % Starting new_bool_3 with 300s (1) cores
% 0.56/0.61  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.56/0.61  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.56/0.61  % Search class: FGUSM-FFMM21-MFFFFFNN
% 0.56/0.61  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.56/0.61  % Starting SubtermCWHack with 31s (1) cores
% 0.56/0.61  % Preprocessing time       : 0.002 s
% 0.56/0.61  
% 0.56/0.61  % Proof found!
% 0.56/0.61  % SZS status Theorem
% 0.56/0.61  % SZS output start CNFRefutation
% See solution above
% 0.56/0.61  % Parsed axioms                        : 49
% 0.56/0.61  % Removed by relevancy pruning/SinE    : 33
% 0.56/0.61  % Initial clauses                      : 34
% 0.56/0.61  % Removed in clause preprocessing      : 0
% 0.56/0.61  % Initial clauses in saturation        : 34
% 0.56/0.61  % Processed clauses                    : 380
% 0.56/0.61  % ...of these trivial                  : 15
% 0.56/0.61  % ...subsumed                          : 216
% 0.56/0.61  % ...remaining for further processing  : 149
% 0.56/0.61  % Other redundant clauses eliminated   : 43
% 0.56/0.61  % Clauses deleted for lack of memory   : 0
% 0.56/0.61  % Backward-subsumed                    : 14
% 0.56/0.61  % Backward-rewritten                   : 10
% 0.56/0.61  % Generated clauses                    : 684
% 0.56/0.61  % ...of the previous two non-redundant : 519
% 0.56/0.61  % ...aggressively subsumed             : 0
% 0.56/0.61  % Contextual simplify-reflections      : 34
% 0.56/0.61  % Paramodulations                      : 622
% 0.56/0.61  % Factorizations                       : 0
% 0.56/0.61  % NegExts                              : 0
% 0.56/0.61  % Equation resolutions                 : 62
% 0.56/0.61  % Disequality decompositions           : 0
% 0.56/0.61  % Total rewrite steps                  : 610
% 0.56/0.61  % ...of those cached                   : 587
% 0.56/0.61  % Propositional unsat checks           : 0
% 0.56/0.61  %    Propositional check models        : 0
% 0.56/0.61  %    Propositional check unsatisfiable : 0
% 0.56/0.61  %    Propositional clauses             : 0
% 0.56/0.61  %    Propositional clauses after purity: 0
% 0.56/0.61  %    Propositional unsat core size     : 0
% 0.56/0.61  %    Propositional preprocessing time  : 0.000
% 0.56/0.61  %    Propositional encoding time       : 0.000
% 0.56/0.61  %    Propositional solver time         : 0.000
% 0.56/0.61  %    Success case prop preproc time    : 0.000
% 0.56/0.61  %    Success case prop encoding time   : 0.000
% 0.56/0.61  %    Success case prop solver time     : 0.000
% 0.56/0.61  % Current number of processed clauses  : 124
% 0.56/0.61  %    Positive orientable unit clauses  : 26
% 0.56/0.61  %    Positive unorientable unit clauses: 1
% 0.56/0.61  %    Negative unit clauses             : 2
% 0.56/0.61  %    Non-unit-clauses                  : 95
% 0.56/0.61  % Current number of unprocessed clauses: 131
% 0.56/0.61  % ...number of literals in the above   : 1028
% 0.56/0.61  % Current number of archived formulas  : 0
% 0.56/0.61  % Current number of archived clauses   : 24
% 0.56/0.61  % Clause-clause subsumption calls (NU) : 5466
% 0.56/0.61  % Rec. Clause-clause subsumption calls : 1213
% 0.56/0.61  % Non-unit clause-clause subsumptions  : 259
% 0.56/0.61  % Unit Clause-clause subsumption calls : 25
% 0.56/0.61  % Rewrite failures with RHS unbound    : 20
% 0.56/0.61  % BW rewrite match attempts            : 18
% 0.56/0.61  % BW rewrite match successes           : 9
% 0.56/0.61  % Condensation attempts                : 0
% 0.56/0.61  % Condensation successes               : 0
% 0.56/0.61  % Termbank termtop insertions          : 20134
% 0.56/0.61  % Search garbage collected termcells   : 684
% 0.56/0.61  
% 0.56/0.61  % -------------------------------------------------
% 0.56/0.61  % User time                : 0.050 s
% 0.56/0.61  % System time              : 0.009 s
% 0.56/0.61  % Total time               : 0.058 s
% 0.56/0.61  % Maximum resident set size: 3684 pages
% 0.56/0.61  
% 0.56/0.61  % -------------------------------------------------
% 0.56/0.61  % User time                : 0.055 s
% 0.56/0.61  % System time              : 0.014 s
% 0.56/0.61  % Total time               : 0.069 s
% 0.56/0.61  % Maximum resident set size: 4864 pages
% 0.56/0.61  % E exiting
%------------------------------------------------------------------------------