TSTP Solution File: TOP024+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : TOP024+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 21:25:28 EDT 2022

% Result   : Theorem 1.97s 19.16s
% Output   : CNFRefutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  112 (  30 unt;   0 def)
%            Number of atoms       :  402 (  62 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  478 ( 188   ~; 184   |;  60   &)
%                                         (   9 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :  159 (   8 sgn  97   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t2_tsp_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
           => v1_tops_1(X2,X1) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_tsp_2) ).

fof(d5_tsp_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tsp_2(X2,X1)
          <=> ( v1_tsp_1(X2,X1)
              & k3_tex_4(X1,X2) = u1_struct_0(X1) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d5_tsp_2) ).

fof(t64_tex_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t64_tex_4) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,k1_zfmisc_1(X2))
    <=> r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).

fof(reflexivity_r1_tarski,axiom,
    ! [X1,X2] : r1_tarski(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).

fof(t36_tex_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
             => ( r1_tarski(X2,k3_tex_4(X1,X3))
               => r1_tarski(k3_tex_4(X1,X2),k3_tex_4(X1,X3)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t36_tex_4) ).

fof(t63_tex_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => k3_tex_4(X1,k6_pre_topc(X1,X2)) = k6_pre_topc(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t63_tex_4) ).

fof(dt_k6_pre_topc,axiom,
    ! [X1,X2] :
      ( ( l1_pre_topc(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_k6_pre_topc) ).

fof(t61_tex_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => r1_tarski(k3_tex_4(X1,X2),k6_pre_topc(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t61_tex_4) ).

fof(fc2_tops_1,axiom,
    ! [X1,X2] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => v4_pre_topc(k6_pre_topc(X1,X2),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc2_tops_1) ).

fof(d10_xboole_0,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( r1_tarski(X1,X2)
        & r1_tarski(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d10_xboole_0) ).

fof(t66_xboole_1,axiom,
    ! [X1] :
      ( ~ ( ~ r1_xboole_0(X1,X1)
          & X1 = k1_xboole_0 )
      & ~ ( X1 != k1_xboole_0
          & r1_xboole_0(X1,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t66_xboole_1) ).

fof(t82_xboole_1,axiom,
    ! [X1,X2] : r1_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X2,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t82_xboole_1) ).

fof(t7_tdlat_3,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( ( v3_pre_topc(X2,X1)
              & v4_pre_topc(X2,X1) )
          <=> k6_pre_topc(X1,X2) = k1_tops_1(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+354.ax',t7_tdlat_3) ).

fof(d5_subset_1,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
     => k3_subset_1(X1,X2) = k4_xboole_0(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',d5_subset_1) ).

fof(d5_xboole_0,axiom,
    ! [X1] :
      ( v1_xboole_0(X1)
    <=> X1 = k1_xboole_0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d5_xboole_0) ).

fof(rc4_tops_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & v1_xboole_0(X2)
          & v1_membered(X2)
          & v2_membered(X2)
          & v3_membered(X2)
          & v4_membered(X2)
          & v5_membered(X2)
          & v2_tops_1(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',rc4_tops_1) ).

fof(d5_tops_3,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tops_3(X2,X1)
          <=> k6_pre_topc(X1,k1_tops_1(X1,X2)) = u1_struct_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+370.ax',d5_tops_3) ).

fof(involutiveness_k3_subset_1,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
     => k3_subset_1(X1,k3_subset_1(X1,X2)) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',involutiveness_k3_subset_1) ).

fof(t33_tops_3,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tops_3(X2,X1)
           => v1_tops_1(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+370.ax',t33_tops_3) ).

fof(d4_tops_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v2_tops_1(X2,X1)
          <=> v1_tops_1(k3_subset_1(u1_struct_0(X1),X2),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',d4_tops_1) ).

fof(t4_subset_1,axiom,
    ! [X1] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t4_subset_1) ).

fof(d3_tops_1,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tops_1(X2,X1)
          <=> k6_pre_topc(X1,X2) = k2_pre_topc(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',d3_tops_1) ).

fof(d2_tops_3,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( v1_tops_1(X2,X1)
          <=> k6_pre_topc(X1,X2) = u1_struct_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+370.ax',d2_tops_3) ).

fof(fc8_tops_1,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ( v3_pre_topc(k2_pre_topc(X1),X1)
        & v4_pre_topc(k2_pre_topc(X1),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc8_tops_1) ).

fof(c_0_25,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
           => ( v1_tsp_2(X2,X1)
             => v1_tops_1(X2,X1) ) ) ),
    inference(assume_negation,[status(cth)],[t2_tsp_2]) ).

fof(c_0_26,plain,
    ! [X3,X4] :
      ( ( v1_tsp_1(X4,X3)
        | ~ v1_tsp_2(X4,X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3) )
      & ( k3_tex_4(X3,X4) = u1_struct_0(X3)
        | ~ v1_tsp_2(X4,X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | v3_struct_0(X3)
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3) )
      & ( ~ v1_tsp_1(X4,X3)
        | k3_tex_4(X3,X4) != u1_struct_0(X3)
        | v1_tsp_2(X4,X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | v3_struct_0(X3)
        | ~ v2_pre_topc(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)],[inference(fof_simplification,[status(thm)],[d5_tsp_2])])])])])])]) ).

fof(c_0_27,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_pre_topc(esk1_0)
    & l1_pre_topc(esk1_0)
    & m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & v1_tsp_2(esk2_0,esk1_0)
    & ~ v1_tops_1(esk2_0,esk1_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_25])])])])])]) ).

fof(c_0_28,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v2_pre_topc(X3)
      | ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | k6_pre_topc(X3,k3_tex_4(X3,X4)) = k6_pre_topc(X3,X4) ),
    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)],[t64_tex_4])])])])])]) ).

cnf(c_0_29,plain,
    ( v3_struct_0(X1)
    | k3_tex_4(X1,X2) = u1_struct_0(X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tsp_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    v1_tsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_32,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_35,plain,
    ! [X3,X4,X3,X4] :
      ( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
        | r1_tarski(X3,X4) )
      & ( ~ r1_tarski(X3,X4)
        | m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).

fof(c_0_36,plain,
    ! [X3] : r1_tarski(X3,X3),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).

fof(c_0_37,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ l1_pre_topc(X4)
      | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
      | ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
      | ~ r1_tarski(X5,k3_tex_4(X4,X6))
      | r1_tarski(k3_tex_4(X4,X5),k3_tex_4(X4,X6)) ),
    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)],[t36_tex_4])])])])])]) ).

fof(c_0_38,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v2_pre_topc(X3)
      | ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | k3_tex_4(X3,k6_pre_topc(X3,X4)) = k6_pre_topc(X3,X4) ),
    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)],[t63_tex_4])])])])])]) ).

cnf(c_0_39,plain,
    ( k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_40,negated_conjecture,
    k3_tex_4(esk1_0,esk2_0) = u1_struct_0(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[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_32]),c_0_33])]),c_0_34]) ).

cnf(c_0_41,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_42,plain,
    r1_tarski(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_43,plain,
    ! [X3,X4] :
      ( ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | m1_subset_1(k6_pre_topc(X3,X4),k1_zfmisc_1(u1_struct_0(X3))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).

cnf(c_0_44,plain,
    ( r1_tarski(k3_tex_4(X1,X2),k3_tex_4(X1,X3))
    | v3_struct_0(X1)
    | ~ r1_tarski(X2,k3_tex_4(X1,X3))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_46,plain,
    ( k3_tex_4(X1,k6_pre_topc(X1,X2)) = k6_pre_topc(X1,X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_47,negated_conjecture,
    k6_pre_topc(esk1_0,u1_struct_0(esk1_0)) = k6_pre_topc(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_31]),c_0_32]),c_0_33])]),c_0_34]) ).

cnf(c_0_48,plain,
    m1_subset_1(X1,k1_zfmisc_1(X1)),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_49,plain,
    ( m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_50,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v2_pre_topc(X3)
      | ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | r1_tarski(k3_tex_4(X3,X4),k6_pre_topc(X3,X4)) ),
    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)],[t61_tex_4])])])])])]) ).

fof(c_0_51,plain,
    ! [X3,X4] :
      ( ~ v2_pre_topc(X3)
      | ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | v4_pre_topc(k6_pre_topc(X3,X4),X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])]) ).

fof(c_0_52,plain,
    ! [X3,X4,X3,X4] :
      ( ( r1_tarski(X3,X4)
        | X3 != X4 )
      & ( r1_tarski(X4,X3)
        | X3 != X4 )
      & ( ~ r1_tarski(X3,X4)
        | ~ r1_tarski(X4,X3)
        | X3 = X4 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])])]) ).

cnf(c_0_53,negated_conjecture,
    ( r1_tarski(k3_tex_4(esk1_0,X1),u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_40]),c_0_32]),c_0_33])]),c_0_34]),c_0_45]) ).

cnf(c_0_54,negated_conjecture,
    k3_tex_4(esk1_0,k6_pre_topc(esk1_0,esk2_0)) = k6_pre_topc(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_31]),c_0_32]),c_0_48])]),c_0_34]) ).

cnf(c_0_55,negated_conjecture,
    m1_subset_1(k6_pre_topc(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_32]),c_0_48])]) ).

cnf(c_0_56,plain,
    ( r1_tarski(k3_tex_4(X1,X2),k6_pre_topc(X1,X2))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_57,plain,
    ( v4_pre_topc(k6_pre_topc(X1,X2),X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_58,plain,
    ( X1 = X2
    | ~ r1_tarski(X2,X1)
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_59,negated_conjecture,
    r1_tarski(k6_pre_topc(esk1_0,esk2_0),u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_60,negated_conjecture,
    r1_tarski(u1_struct_0(esk1_0),k6_pre_topc(esk1_0,esk2_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_40]),c_0_31]),c_0_32]),c_0_33])]),c_0_34]) ).

fof(c_0_61,plain,
    ! [X2,X2] :
      ( ( r1_xboole_0(X2,X2)
        | X2 != k1_xboole_0 )
      & ( X2 = k1_xboole_0
        | ~ r1_xboole_0(X2,X2) ) ),
    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)],[t66_xboole_1])])])])]) ).

fof(c_0_62,plain,
    ! [X3,X4] : r1_xboole_0(k4_xboole_0(X3,X4),k4_xboole_0(X4,X3)),
    inference(variable_rename,[status(thm)],[t82_xboole_1]) ).

fof(c_0_63,plain,
    ! [X3,X4] :
      ( ( ~ v3_pre_topc(X4,X3)
        | ~ v4_pre_topc(X4,X3)
        | k6_pre_topc(X3,X4) = k1_tops_1(X3,X4)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3) )
      & ( v3_pre_topc(X4,X3)
        | k6_pre_topc(X3,X4) != k1_tops_1(X3,X4)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | ~ v2_pre_topc(X3)
        | ~ l1_pre_topc(X3) )
      & ( v4_pre_topc(X4,X3)
        | k6_pre_topc(X3,X4) != k1_tops_1(X3,X4)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | ~ v2_pre_topc(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)],[t7_tdlat_3])])])])])]) ).

cnf(c_0_64,negated_conjecture,
    v4_pre_topc(k6_pre_topc(esk1_0,esk2_0),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_31]),c_0_32]),c_0_48])]) ).

cnf(c_0_65,negated_conjecture,
    k6_pre_topc(esk1_0,esk2_0) = u1_struct_0(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).

fof(c_0_66,plain,
    ! [X3,X4] :
      ( ~ m1_subset_1(X4,k1_zfmisc_1(X3))
      | k3_subset_1(X3,X4) = k4_xboole_0(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_subset_1])]) ).

cnf(c_0_67,plain,
    ( X1 = k1_xboole_0
    | ~ r1_xboole_0(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_68,plain,
    r1_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

fof(c_0_69,plain,
    ! [X2,X2] :
      ( ( ~ v1_xboole_0(X2)
        | X2 = k1_xboole_0 )
      & ( X2 != k1_xboole_0
        | v1_xboole_0(X2) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_xboole_0])])])]) ).

fof(c_0_70,plain,
    ! [X3] :
      ( ( m1_subset_1(esk111_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
        | ~ l1_pre_topc(X3) )
      & ( v1_xboole_0(esk111_1(X3))
        | ~ l1_pre_topc(X3) )
      & ( v1_membered(esk111_1(X3))
        | ~ l1_pre_topc(X3) )
      & ( v2_membered(esk111_1(X3))
        | ~ l1_pre_topc(X3) )
      & ( v3_membered(esk111_1(X3))
        | ~ l1_pre_topc(X3) )
      & ( v4_membered(esk111_1(X3))
        | ~ l1_pre_topc(X3) )
      & ( v5_membered(esk111_1(X3))
        | ~ l1_pre_topc(X3) )
      & ( v2_tops_1(esk111_1(X3),X3)
        | ~ l1_pre_topc(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc4_tops_1])])])])])]) ).

fof(c_0_71,plain,
    ! [X3,X4] :
      ( ( ~ v1_tops_3(X4,X3)
        | k6_pre_topc(X3,k1_tops_1(X3,X4)) = u1_struct_0(X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | ~ l1_pre_topc(X3) )
      & ( k6_pre_topc(X3,k1_tops_1(X3,X4)) != u1_struct_0(X3)
        | v1_tops_3(X4,X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(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)],[d5_tops_3])])])])])]) ).

cnf(c_0_72,plain,
    ( k6_pre_topc(X1,X2) = k1_tops_1(X1,X2)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v4_pre_topc(X2,X1)
    | ~ v3_pre_topc(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_73,negated_conjecture,
    v4_pre_topc(u1_struct_0(esk1_0),esk1_0),
    inference(rw,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_74,plain,
    ! [X3,X4] :
      ( ~ m1_subset_1(X4,k1_zfmisc_1(X3))
      | k3_subset_1(X3,k3_subset_1(X3,X4)) = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).

cnf(c_0_75,plain,
    ( k3_subset_1(X1,X2) = k4_xboole_0(X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_76,plain,
    k4_xboole_0(X1,X1) = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_77,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_78,plain,
    ( v1_xboole_0(esk111_1(X1))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

fof(c_0_79,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v2_pre_topc(X3)
      | ~ l1_pre_topc(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | ~ v1_tops_3(X4,X3)
      | v1_tops_1(X4,X3) ),
    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)],[t33_tops_3])])])])])]) ).

cnf(c_0_80,plain,
    ( v1_tops_3(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | k6_pre_topc(X1,k1_tops_1(X1,X2)) != u1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_81,negated_conjecture,
    ( k1_tops_1(esk1_0,u1_struct_0(esk1_0)) = u1_struct_0(esk1_0)
    | ~ v3_pre_topc(u1_struct_0(esk1_0),esk1_0) ),
    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(spm,[status(thm)],[c_0_72,c_0_73]),c_0_47]),c_0_65]),c_0_31]),c_0_32]),c_0_48])]) ).

fof(c_0_82,plain,
    ! [X3,X4] :
      ( ( ~ v2_tops_1(X4,X3)
        | v1_tops_1(k3_subset_1(u1_struct_0(X3),X4),X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | ~ l1_pre_topc(X3) )
      & ( ~ v1_tops_1(k3_subset_1(u1_struct_0(X3),X4),X3)
        | v2_tops_1(X4,X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(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)],[d4_tops_1])])])])])]) ).

cnf(c_0_83,plain,
    ( k3_subset_1(X1,k3_subset_1(X1,X2)) = X2
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_84,plain,
    k3_subset_1(X1,X1) = k1_xboole_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_48])]) ).

fof(c_0_85,plain,
    ! [X2] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X2)),
    inference(variable_rename,[status(thm)],[t4_subset_1]) ).

cnf(c_0_86,plain,
    ( v2_tops_1(esk111_1(X1),X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_87,plain,
    ( esk111_1(X1) = k1_xboole_0
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

fof(c_0_88,plain,
    ! [X3,X4] :
      ( ( ~ v1_tops_1(X4,X3)
        | k6_pre_topc(X3,X4) = k2_pre_topc(X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | ~ l1_pre_topc(X3) )
      & ( k6_pre_topc(X3,X4) != k2_pre_topc(X3)
        | v1_tops_1(X4,X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(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)],[d3_tops_1])])])])])]) ).

cnf(c_0_89,plain,
    ( v1_tops_1(X1,X2)
    | v3_struct_0(X2)
    | ~ v1_tops_3(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    ( v1_tops_3(u1_struct_0(esk1_0),esk1_0)
    | ~ v3_pre_topc(u1_struct_0(esk1_0),esk1_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_80,c_0_81]),c_0_47]),c_0_65]),c_0_32]),c_0_48])]) ).

fof(c_0_91,plain,
    ! [X3,X4] :
      ( ( ~ v1_tops_1(X4,X3)
        | k6_pre_topc(X3,X4) = u1_struct_0(X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
        | ~ l1_pre_topc(X3) )
      & ( k6_pre_topc(X3,X4) != u1_struct_0(X3)
        | v1_tops_1(X4,X3)
        | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(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)],[d2_tops_3])])])])])]) ).

cnf(c_0_92,plain,
    ( v1_tops_1(k3_subset_1(u1_struct_0(X1),X2),X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v2_tops_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_93,plain,
    k3_subset_1(X1,k1_xboole_0) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_48])]) ).

cnf(c_0_94,plain,
    m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_95,plain,
    ( v2_tops_1(k1_xboole_0,X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_96,plain,
    ( k6_pre_topc(X1,X2) = k2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tops_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_97,negated_conjecture,
    ( v1_tops_1(u1_struct_0(esk1_0),esk1_0)
    | ~ v3_pre_topc(u1_struct_0(esk1_0),esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_31]),c_0_32]),c_0_48])]),c_0_34]) ).

cnf(c_0_98,plain,
    ( k6_pre_topc(X1,X2) = u1_struct_0(X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_tops_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_99,plain,
    ( v1_tops_1(u1_struct_0(X1),X1)
    | ~ l1_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]),c_0_95]) ).

cnf(c_0_100,plain,
    ( v1_tops_1(X2,X1)
    | ~ l1_pre_topc(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | k6_pre_topc(X1,X2) != k2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_101,negated_conjecture,
    ( k2_pre_topc(esk1_0) = u1_struct_0(esk1_0)
    | ~ v3_pre_topc(u1_struct_0(esk1_0),esk1_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_96,c_0_97]),c_0_47]),c_0_65]),c_0_32]),c_0_48])]) ).

fof(c_0_102,plain,
    ! [X2] :
      ( ( v3_pre_topc(k2_pre_topc(X2),X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) )
      & ( v4_pre_topc(k2_pre_topc(X2),X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_tops_1])])]) ).

cnf(c_0_103,plain,
    ( k6_pre_topc(X1,u1_struct_0(X1)) = u1_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_48])]) ).

cnf(c_0_104,plain,
    ( k6_pre_topc(X1,u1_struct_0(X1)) = k2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_99]),c_0_48])]) ).

cnf(c_0_105,negated_conjecture,
    ~ v1_tops_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_106,negated_conjecture,
    ( v1_tops_1(X1,esk1_0)
    | k6_pre_topc(esk1_0,X1) != u1_struct_0(esk1_0)
    | ~ v3_pre_topc(u1_struct_0(esk1_0),esk1_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_32])]) ).

cnf(c_0_107,plain,
    ( v3_pre_topc(k2_pre_topc(X1),X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_108,plain,
    ( k2_pre_topc(X1) = u1_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_109,negated_conjecture,
    ~ v3_pre_topc(u1_struct_0(esk1_0),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_65]),c_0_33])]) ).

cnf(c_0_110,plain,
    ( v3_pre_topc(u1_struct_0(X1),X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_111,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_31]),c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : TOP024+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n020.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 04:44:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.97/19.16  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.97/19.16  # Preprocessing time       : 8.682 s
% 1.97/19.16  
% 1.97/19.16  # Failure: Out of unprocessed clauses!
% 1.97/19.16  # OLD status GaveUp
% 1.97/19.16  # Parsed axioms                        : 34382
% 1.97/19.16  # Removed by relevancy pruning/SinE    : 0
% 1.97/19.16  # Initial clauses                      : 103142
% 1.97/19.16  # Removed in clause preprocessing      : 9071
% 1.97/19.16  # Initial clauses in saturation        : 94071
% 1.97/19.16  # Processed clauses                    : 16
% 1.97/19.16  # ...of these trivial                  : 0
% 1.97/19.16  # ...subsumed                          : 2
% 1.97/19.16  # ...remaining for further processing  : 14
% 1.97/19.16  # Other redundant clauses eliminated   : 0
% 1.97/19.16  # Clauses deleted for lack of memory   : 94055
% 1.97/19.16  # Backward-subsumed                    : 0
% 1.97/19.16  # Backward-rewritten                   : 0
% 1.97/19.16  # Generated clauses                    : 0
% 1.97/19.16  # ...of the previous two non-trivial   : 0
% 1.97/19.16  # Contextual simplify-reflections      : 0
% 1.97/19.16  # Paramodulations                      : 0
% 1.97/19.16  # Factorizations                       : 0
% 1.97/19.16  # Equation resolutions                 : 0
% 1.97/19.16  # Current number of processed clauses  : 14
% 1.97/19.16  #    Positive orientable unit clauses  : 5
% 1.97/19.16  #    Positive unorientable unit clauses: 0
% 1.97/19.16  #    Negative unit clauses             : 9
% 1.97/19.16  #    Non-unit-clauses                  : 0
% 1.97/19.16  # Current number of unprocessed clauses: 0
% 1.97/19.16  # ...number of literals in the above   : 0
% 1.97/19.16  # Current number of archived formulas  : 0
% 1.97/19.16  # Current number of archived clauses   : 0
% 1.97/19.16  # Clause-clause subsumption calls (NU) : 0
% 1.97/19.16  # Rec. Clause-clause subsumption calls : 0
% 1.97/19.16  # Non-unit clause-clause subsumptions  : 0
% 1.97/19.16  # Unit Clause-clause subsumption calls : 4
% 1.97/19.16  # Rewrite failures with RHS unbound    : 0
% 1.97/19.16  # BW rewrite match attempts            : 0
% 1.97/19.16  # BW rewrite match successes           : 0
% 1.97/19.16  # Condensation attempts                : 0
% 1.97/19.16  # Condensation successes               : 0
% 1.97/19.16  # Termbank termtop insertions          : 10322463
% 1.97/19.16  
% 1.97/19.16  # -------------------------------------------------
% 1.97/19.16  # User time                : 13.402 s
% 1.97/19.16  # System time              : 0.281 s
% 1.97/19.16  # Total time               : 13.683 s
% 1.97/19.16  # Maximum resident set size: 413240 pages
% 1.97/19.16  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.97/19.16  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.97/19.16  # Preprocessing time       : 1.303 s
% 1.97/19.16  
% 1.97/19.16  # Proof found!
% 1.97/19.16  # SZS status Theorem
% 1.97/19.16  # SZS output start CNFRefutation
% See solution above
% 1.97/19.16  # Proof object total steps             : 112
% 1.97/19.16  # Proof object clause steps            : 61
% 1.97/19.16  # Proof object formula steps           : 51
% 1.97/19.16  # Proof object conjectures             : 26
% 1.97/19.16  # Proof object clause conjectures      : 23
% 1.97/19.16  # Proof object formula conjectures     : 3
% 1.97/19.16  # Proof object initial clauses used    : 33
% 1.97/19.16  # Proof object initial formulas used   : 25
% 1.97/19.16  # Proof object generating inferences   : 27
% 1.97/19.16  # Proof object simplifying inferences  : 77
% 1.97/19.16  # Training examples: 0 positive, 0 negative
% 1.97/19.16  # Parsed axioms                        : 34382
% 1.97/19.16  # Removed by relevancy pruning/SinE    : 33639
% 1.97/19.16  # Initial clauses                      : 1863
% 1.97/19.16  # Removed in clause preprocessing      : 65
% 1.97/19.16  # Initial clauses in saturation        : 1798
% 1.97/19.16  # Processed clauses                    : 7084
% 1.97/19.16  # ...of these trivial                  : 81
% 1.97/19.16  # ...subsumed                          : 3502
% 1.97/19.16  # ...remaining for further processing  : 3501
% 1.97/19.16  # Other redundant clauses eliminated   : 52
% 1.97/19.16  # Clauses deleted for lack of memory   : 0
% 1.97/19.16  # Backward-subsumed                    : 129
% 1.97/19.16  # Backward-rewritten                   : 147
% 1.97/19.16  # Generated clauses                    : 57996
% 1.97/19.16  # ...of the previous two non-trivial   : 53801
% 1.97/19.16  # Contextual simplify-reflections      : 1080
% 1.97/19.16  # Paramodulations                      : 57912
% 1.97/19.16  # Factorizations                       : 2
% 1.97/19.16  # Equation resolutions                 : 82
% 1.97/19.16  # Current number of processed clauses  : 3183
% 1.97/19.16  #    Positive orientable unit clauses  : 220
% 1.97/19.16  #    Positive unorientable unit clauses: 0
% 1.97/19.16  #    Negative unit clauses             : 79
% 1.97/19.16  #    Non-unit-clauses                  : 2884
% 1.97/19.16  # Current number of unprocessed clauses: 45415
% 1.97/19.16  # ...number of literals in the above   : 323489
% 1.97/19.16  # Current number of archived formulas  : 0
% 1.97/19.16  # Current number of archived clauses   : 276
% 1.97/19.16  # Clause-clause subsumption calls (NU) : 2859173
% 1.97/19.16  # Rec. Clause-clause subsumption calls : 908238
% 1.97/19.16  # Non-unit clause-clause subsumptions  : 3322
% 1.97/19.16  # Unit Clause-clause subsumption calls : 102988
% 1.97/19.16  # Rewrite failures with RHS unbound    : 0
% 1.97/19.16  # BW rewrite match attempts            : 235
% 1.97/19.16  # BW rewrite match successes           : 25
% 1.97/19.16  # Condensation attempts                : 0
% 1.97/19.16  # Condensation successes               : 0
% 1.97/19.16  # Termbank termtop insertions          : 2423352
% 1.97/19.16  
% 1.97/19.16  # -------------------------------------------------
% 1.97/19.16  # User time                : 3.067 s
% 1.97/19.16  # System time              : 0.099 s
% 1.97/19.16  # Total time               : 3.166 s
% 1.97/19.16  # Maximum resident set size: 140620 pages
% 1.97/25.03  eprover: CPU time limit exceeded, terminating
% 1.97/25.03  eprover: CPU time limit exceeded, terminating
% 1.97/25.05  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.05  eprover: No such file or directory
% 1.97/25.05  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.05  eprover: No such file or directory
% 1.97/25.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.06  eprover: No such file or directory
% 1.97/25.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.06  eprover: No such file or directory
% 1.97/25.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.06  eprover: No such file or directory
% 1.97/25.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.07  eprover: No such file or directory
% 1.97/25.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.07  eprover: No such file or directory
% 1.97/25.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.07  eprover: No such file or directory
% 1.97/25.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.07  eprover: No such file or directory
% 1.97/25.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.07  eprover: No such file or directory
% 1.97/25.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.08  eprover: No such file or directory
% 1.97/25.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.08  eprover: No such file or directory
% 1.97/25.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.08  eprover: No such file or directory
% 1.97/25.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.08  eprover: No such file or directory
% 1.97/25.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.09  eprover: No such file or directory
% 1.97/25.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.09  eprover: No such file or directory
% 1.97/25.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.09  eprover: No such file or directory
% 1.97/25.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.97/25.09  eprover: No such file or directory
% 1.97/25.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.09  eprover: No such file or directory
% 1.97/25.10  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.10  eprover: No such file or directory
% 1.97/25.11  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.11  eprover: No such file or directory
% 1.97/25.11  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/25.11  eprover: No such file or directory
% 1.97/38.43  eprover: CPU time limit exceeded, terminating
% 1.97/38.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.45  eprover: No such file or directory
% 1.97/38.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.46  eprover: No such file or directory
% 1.97/38.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.47  eprover: No such file or directory
% 1.97/38.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.47  eprover: No such file or directory
% 1.97/38.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.48  eprover: No such file or directory
% 1.97/38.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.48  eprover: No such file or directory
% 1.97/38.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.49  eprover: No such file or directory
% 1.97/38.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.49  eprover: No such file or directory
% 1.97/38.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.50  eprover: No such file or directory
% 1.97/38.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.97/38.51  eprover: No such file or directory
%------------------------------------------------------------------------------