TSTP Solution File: LAT363+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LAT363+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:10:58 EDT 2023

% Result   : Theorem 6.22s 1.29s
% Output   : CNFRefutation 6.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   93 (  25 unt;   0 def)
%            Number of atoms       :  465 (  20 equ)
%            Maximal formula atoms :   50 (   5 avg)
%            Number of connectives :  626 ( 254   ~; 261   |;  74   &)
%                                         (   5 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-4 aty)
%            Number of variables   :  148 (   4 sgn;  80   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d7_waybel18,axiom,
    ! [X1] :
      ( l1_struct_0(X1)
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & l1_pre_topc(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => k8_waybel18(X1,X2,X3) = X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',d7_waybel18) ).

fof(t26_waybel34,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_pre_topc(X2)
            & l1_pre_topc(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( v2_waybel34(X3,X1,X2)
              <=> v1_t_0topsp(k8_waybel18(X1,X2,X3),X1,k7_waybel18(X1,X2,X3)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',t26_waybel34) ).

fof(dt_k8_waybel18,axiom,
    ! [X1,X2,X3] :
      ( ( l1_struct_0(X1)
        & ~ v3_struct_0(X2)
        & l1_pre_topc(X2)
        & v1_funct_1(X3)
        & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
        & m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
     => ( v1_funct_1(k8_waybel18(X1,X2,X3))
        & v1_funct_2(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
        & m2_relset_1(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',dt_k8_waybel18) ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
    <=> m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',redefinition_m2_relset_1) ).

fof(dt_l1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',dt_l1_pre_topc) ).

fof(redefinition_k4_pre_topc,axiom,
    ! [X1,X2,X3,X4] :
      ( ( l1_struct_0(X1)
        & l1_struct_0(X2)
        & v1_funct_1(X3)
        & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
        & m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
     => k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',redefinition_k4_pre_topc) ).

fof(dt_k7_waybel18,axiom,
    ! [X1,X2,X3] :
      ( ( l1_struct_0(X1)
        & l1_pre_topc(X2)
        & v1_funct_1(X3)
        & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
        & m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
     => m1_pre_topc(k7_waybel18(X1,X2,X3),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',dt_k7_waybel18) ).

fof(dt_m1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( m1_pre_topc(X2,X1)
         => l1_pre_topc(X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',dt_m1_pre_topc) ).

fof(dt_k4_pre_topc,axiom,
    ! [X1,X2,X3,X4] :
      ( ( l1_struct_0(X1)
        & l1_struct_0(X2)
        & v1_funct_1(X3)
        & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
        & m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
     => m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',dt_k4_pre_topc) ).

fof(d6_waybel18,axiom,
    ! [X1] :
      ( l1_struct_0(X1)
     => ! [X2] :
          ( l1_pre_topc(X2)
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => k7_waybel18(X1,X2,X3) = k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',d6_waybel18) ).

fof(d9_waybel34,axiom,
    ! [X1] :
      ( ( v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ! [X2] :
          ( ( v2_pre_topc(X2)
            & l1_pre_topc(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( v2_waybel34(X3,X1,X2)
              <=> ! [X4] :
                    ( ( v3_pre_topc(X4,X1)
                      & m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
                   => ( v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))
                      & m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X2,k1_yellow_2(X1,X2,X3))))) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',d9_waybel34) ).

fof(d2_t_0topsp,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ! [X2] :
          ( l1_pre_topc(X2)
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & 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_t_0topsp(X3,X1,X2)
              <=> ! [X4] :
                    ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
                   => ( v3_pre_topc(X4,X1)
                     => v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p',d2_t_0topsp) ).

fof(c_0_12,plain,
    ! [X1] :
      ( l1_struct_0(X1)
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & l1_pre_topc(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => k8_waybel18(X1,X2,X3) = X3 ) ) ),
    inference(fof_simplification,[status(thm)],[d7_waybel18]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v2_pre_topc(X2)
              & l1_pre_topc(X2) )
           => ! [X3] :
                ( ( v1_funct_1(X3)
                  & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                  & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
               => ( v2_waybel34(X3,X1,X2)
                <=> v1_t_0topsp(k8_waybel18(X1,X2,X3),X1,k7_waybel18(X1,X2,X3)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t26_waybel34])]) ).

fof(c_0_14,plain,
    ! [X22,X23,X24] :
      ( ~ l1_struct_0(X22)
      | v3_struct_0(X23)
      | ~ l1_pre_topc(X23)
      | ~ v1_funct_1(X24)
      | ~ v1_funct_2(X24,u1_struct_0(X22),u1_struct_0(X23))
      | ~ m2_relset_1(X24,u1_struct_0(X22),u1_struct_0(X23))
      | k8_waybel18(X22,X23,X24) = X24 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

fof(c_0_15,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_pre_topc(esk1_0)
    & l1_pre_topc(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v2_pre_topc(esk2_0)
    & l1_pre_topc(esk2_0)
    & v1_funct_1(esk3_0)
    & v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    & m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    & ( ~ v2_waybel34(esk3_0,esk1_0,esk2_0)
      | ~ v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) )
    & ( v2_waybel34(esk3_0,esk1_0,esk2_0)
      | v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_16,plain,
    ! [X1,X2,X3] :
      ( ( l1_struct_0(X1)
        & ~ v3_struct_0(X2)
        & l1_pre_topc(X2)
        & v1_funct_1(X3)
        & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
        & m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
     => ( v1_funct_1(k8_waybel18(X1,X2,X3))
        & v1_funct_2(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
        & m2_relset_1(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3))) ) ),
    inference(fof_simplification,[status(thm)],[dt_k8_waybel18]) ).

fof(c_0_17,plain,
    ! [X33,X34,X35] :
      ( ( ~ m2_relset_1(X35,X33,X34)
        | m1_relset_1(X35,X33,X34) )
      & ( ~ m1_relset_1(X35,X33,X34)
        | m2_relset_1(X35,X33,X34) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).

cnf(c_0_18,plain,
    ( v3_struct_0(X2)
    | k8_waybel18(X1,X2,X3) = X3
    | ~ l1_struct_0(X1)
    | ~ l1_pre_topc(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    v1_funct_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    l1_pre_topc(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_24,plain,
    ! [X70] :
      ( ~ l1_pre_topc(X70)
      | l1_struct_0(X70) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).

fof(c_0_25,plain,
    ! [X19,X20,X21] :
      ( ( v1_funct_1(k8_waybel18(X19,X20,X21))
        | ~ l1_struct_0(X19)
        | v3_struct_0(X20)
        | ~ l1_pre_topc(X20)
        | ~ v1_funct_1(X21)
        | ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
        | ~ m1_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20)) )
      & ( v1_funct_2(k8_waybel18(X19,X20,X21),u1_struct_0(X19),u1_struct_0(k7_waybel18(X19,X20,X21)))
        | ~ l1_struct_0(X19)
        | v3_struct_0(X20)
        | ~ l1_pre_topc(X20)
        | ~ v1_funct_1(X21)
        | ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
        | ~ m1_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20)) )
      & ( m2_relset_1(k8_waybel18(X19,X20,X21),u1_struct_0(X19),u1_struct_0(k7_waybel18(X19,X20,X21)))
        | ~ l1_struct_0(X19)
        | v3_struct_0(X20)
        | ~ l1_pre_topc(X20)
        | ~ v1_funct_1(X21)
        | ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
        | ~ m1_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

cnf(c_0_26,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    ( k8_waybel18(esk1_0,esk2_0,esk3_0) = esk3_0
    | ~ l1_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_18,c_0_19]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_28,plain,
    ( l1_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_30,plain,
    ! [X55,X56,X57,X58] :
      ( ~ l1_struct_0(X55)
      | ~ l1_struct_0(X56)
      | ~ v1_funct_1(X57)
      | ~ v1_funct_2(X57,u1_struct_0(X55),u1_struct_0(X56))
      | ~ m1_relset_1(X57,u1_struct_0(X55),u1_struct_0(X56))
      | k4_pre_topc(X55,X56,X57,X58) = k9_relat_1(X57,X58) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])]) ).

cnf(c_0_31,plain,
    ( m2_relset_1(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
    | v3_struct_0(X2)
    | ~ l1_struct_0(X1)
    | ~ l1_pre_topc(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_26,c_0_19]) ).

cnf(c_0_33,negated_conjecture,
    k8_waybel18(esk1_0,esk2_0,esk3_0) = esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_34,plain,
    ( k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ l1_struct_0(X1)
    | ~ l1_struct_0(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    ( m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
    | ~ l1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_36,plain,
    ( v1_funct_2(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
    | v3_struct_0(X2)
    | ~ l1_struct_0(X1)
    | ~ l1_pre_topc(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_37,negated_conjecture,
    ( k9_relat_1(esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1)
    | ~ l1_struct_0(esk2_0)
    | ~ l1_struct_0(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_20]),c_0_21])]) ).

fof(c_0_38,plain,
    ! [X16,X17,X18] :
      ( ~ l1_struct_0(X16)
      | ~ l1_pre_topc(X17)
      | ~ v1_funct_1(X18)
      | ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
      | ~ m1_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
      | m1_pre_topc(k7_waybel18(X16,X17,X18),X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_waybel18])]) ).

cnf(c_0_39,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_28]),c_0_29])]) ).

cnf(c_0_40,negated_conjecture,
    ( v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
    | ~ l1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_33]),c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).

cnf(c_0_41,negated_conjecture,
    ( k9_relat_1(esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1)
    | ~ l1_struct_0(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_28]),c_0_22])]) ).

cnf(c_0_42,plain,
    ( m1_pre_topc(k7_waybel18(X1,X2,X3),X2)
    | ~ l1_struct_0(X1)
    | ~ l1_pre_topc(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))),
    inference(spm,[status(thm)],[c_0_26,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_28]),c_0_29])]) ).

cnf(c_0_45,negated_conjecture,
    k9_relat_1(esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_28]),c_0_29])]) ).

fof(c_0_46,plain,
    ! [X74,X75] :
      ( ~ l1_pre_topc(X74)
      | ~ m1_pre_topc(X75,X74)
      | l1_pre_topc(X75) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pre_topc])])]) ).

cnf(c_0_47,negated_conjecture,
    ( m1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0),esk2_0)
    | ~ l1_struct_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_42,c_0_32]),c_0_20]),c_0_21]),c_0_22])]) ).

cnf(c_0_48,negated_conjecture,
    ( k4_pre_topc(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1)
    | ~ l1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))
    | ~ l1_struct_0(esk1_0) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_43]),c_0_44]),c_0_21])]),c_0_45]) ).

cnf(c_0_49,plain,
    ( l1_pre_topc(X2)
    | ~ l1_pre_topc(X1)
    | ~ m1_pre_topc(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    m1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0),esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_28]),c_0_29])]) ).

fof(c_0_51,plain,
    ! [X51,X52,X53,X54] :
      ( ~ l1_struct_0(X51)
      | ~ l1_struct_0(X52)
      | ~ v1_funct_1(X53)
      | ~ v1_funct_2(X53,u1_struct_0(X51),u1_struct_0(X52))
      | ~ m1_relset_1(X53,u1_struct_0(X51),u1_struct_0(X52))
      | m1_subset_1(k4_pre_topc(X51,X52,X53,X54),k1_zfmisc_1(u1_struct_0(X52))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])]) ).

cnf(c_0_52,negated_conjecture,
    ( k4_pre_topc(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1)
    | ~ l1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_28]),c_0_29])]) ).

cnf(c_0_53,negated_conjecture,
    l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_22])]) ).

fof(c_0_54,plain,
    ! [X13,X14,X15] :
      ( ~ l1_struct_0(X13)
      | ~ l1_pre_topc(X14)
      | ~ v1_funct_1(X15)
      | ~ v1_funct_2(X15,u1_struct_0(X13),u1_struct_0(X14))
      | ~ m2_relset_1(X15,u1_struct_0(X13),u1_struct_0(X14))
      | k7_waybel18(X13,X14,X15) = k3_pre_topc(X14,k1_yellow_2(X13,X14,X15)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_waybel18])])]) ).

cnf(c_0_55,plain,
    ( m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_struct_0(X1)
    | ~ l1_struct_0(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    k4_pre_topc(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0,X1) = k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_28]),c_0_53])]) ).

fof(c_0_57,plain,
    ! [X25,X26,X27,X28] :
      ( ( v3_pre_topc(k4_pre_topc(X25,X26,X27,X28),k3_pre_topc(X26,k1_yellow_2(X25,X26,X27)))
        | ~ v3_pre_topc(X28,X25)
        | ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(X25)))
        | ~ v2_waybel34(X27,X25,X26)
        | ~ v1_funct_1(X27)
        | ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ v2_pre_topc(X26)
        | ~ l1_pre_topc(X26)
        | ~ v2_pre_topc(X25)
        | ~ l1_pre_topc(X25) )
      & ( m1_subset_1(k4_pre_topc(X25,X26,X27,X28),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X26,k1_yellow_2(X25,X26,X27)))))
        | ~ v3_pre_topc(X28,X25)
        | ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(X25)))
        | ~ v2_waybel34(X27,X25,X26)
        | ~ v1_funct_1(X27)
        | ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ v2_pre_topc(X26)
        | ~ l1_pre_topc(X26)
        | ~ v2_pre_topc(X25)
        | ~ l1_pre_topc(X25) )
      & ( v3_pre_topc(esk5_3(X25,X26,X27),X25)
        | v2_waybel34(X27,X25,X26)
        | ~ v1_funct_1(X27)
        | ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ v2_pre_topc(X26)
        | ~ l1_pre_topc(X26)
        | ~ v2_pre_topc(X25)
        | ~ l1_pre_topc(X25) )
      & ( m1_subset_1(esk5_3(X25,X26,X27),k1_zfmisc_1(u1_struct_0(X25)))
        | v2_waybel34(X27,X25,X26)
        | ~ v1_funct_1(X27)
        | ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ v2_pre_topc(X26)
        | ~ l1_pre_topc(X26)
        | ~ v2_pre_topc(X25)
        | ~ l1_pre_topc(X25) )
      & ( ~ v3_pre_topc(k4_pre_topc(X25,X26,X27,esk5_3(X25,X26,X27)),k3_pre_topc(X26,k1_yellow_2(X25,X26,X27)))
        | ~ m1_subset_1(k4_pre_topc(X25,X26,X27,esk5_3(X25,X26,X27)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X26,k1_yellow_2(X25,X26,X27)))))
        | v2_waybel34(X27,X25,X26)
        | ~ v1_funct_1(X27)
        | ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
        | ~ v2_pre_topc(X26)
        | ~ l1_pre_topc(X26)
        | ~ v2_pre_topc(X25)
        | ~ l1_pre_topc(X25) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_waybel34])])])])]) ).

cnf(c_0_58,plain,
    ( k7_waybel18(X1,X2,X3) = k3_pre_topc(X2,k1_yellow_2(X1,X2,X3))
    | ~ l1_struct_0(X1)
    | ~ l1_pre_topc(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    ( m1_subset_1(k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),k1_zfmisc_1(u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))))
    | ~ l1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))
    | ~ l1_struct_0(esk1_0) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_43]),c_0_44]),c_0_21])]),c_0_56]) ).

fof(c_0_60,plain,
    ! [X8,X9,X10,X11] :
      ( ( ~ v1_t_0topsp(X10,X8,X9)
        | ~ m1_subset_1(X11,k1_zfmisc_1(u1_struct_0(X8)))
        | ~ v3_pre_topc(X11,X8)
        | v3_pre_topc(k4_pre_topc(X8,X9,X10,X11),X9)
        | ~ v1_funct_1(X10)
        | ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
        | ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
        | ~ l1_pre_topc(X9)
        | ~ l1_pre_topc(X8) )
      & ( m1_subset_1(esk4_3(X8,X9,X10),k1_zfmisc_1(u1_struct_0(X8)))
        | v1_t_0topsp(X10,X8,X9)
        | ~ v1_funct_1(X10)
        | ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
        | ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
        | ~ l1_pre_topc(X9)
        | ~ l1_pre_topc(X8) )
      & ( v3_pre_topc(esk4_3(X8,X9,X10),X8)
        | v1_t_0topsp(X10,X8,X9)
        | ~ v1_funct_1(X10)
        | ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
        | ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
        | ~ l1_pre_topc(X9)
        | ~ l1_pre_topc(X8) )
      & ( ~ v3_pre_topc(k4_pre_topc(X8,X9,X10,esk4_3(X8,X9,X10)),X9)
        | v1_t_0topsp(X10,X8,X9)
        | ~ v1_funct_1(X10)
        | ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
        | ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
        | ~ l1_pre_topc(X9)
        | ~ l1_pre_topc(X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_t_0topsp])])])])]) ).

cnf(c_0_61,plain,
    ( m1_subset_1(esk5_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
    | v2_waybel34(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    v2_pre_topc(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_63,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_64,plain,
    ( v3_pre_topc(esk5_3(X1,X2,X3),X1)
    | v2_waybel34(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_65,negated_conjecture,
    ( k3_pre_topc(esk2_0,k1_yellow_2(esk1_0,esk2_0,esk3_0)) = k7_waybel18(esk1_0,esk2_0,esk3_0)
    | ~ l1_struct_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_58,c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).

cnf(c_0_66,negated_conjecture,
    ( m1_subset_1(k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),k1_zfmisc_1(u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))))
    | ~ l1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_28]),c_0_29])]) ).

cnf(c_0_67,plain,
    ( v3_pre_topc(k4_pre_topc(X2,X3,X1,X4),X3)
    | ~ v1_t_0topsp(X1,X2,X3)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_pre_topc(X4,X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ l1_pre_topc(X3)
    | ~ l1_pre_topc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    ( m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | v2_waybel34(esk3_0,esk1_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_29]),c_0_62]),c_0_63])]) ).

cnf(c_0_69,negated_conjecture,
    ( v3_pre_topc(esk5_3(esk1_0,esk2_0,esk3_0),esk1_0)
    | v2_waybel34(esk3_0,esk1_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_29]),c_0_62]),c_0_63])]) ).

cnf(c_0_70,negated_conjecture,
    ( v2_waybel34(esk3_0,esk1_0,esk2_0)
    | v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_71,plain,
    ( v2_waybel34(X3,X1,X2)
    | ~ v3_pre_topc(k4_pre_topc(X1,X2,X3,esk5_3(X1,X2,X3)),k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))
    | ~ m1_subset_1(k4_pre_topc(X1,X2,X3,esk5_3(X1,X2,X3)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))))
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_72,negated_conjecture,
    k3_pre_topc(esk2_0,k1_yellow_2(esk1_0,esk2_0,esk3_0)) = k7_waybel18(esk1_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_28]),c_0_29])]) ).

cnf(c_0_73,negated_conjecture,
    m1_subset_1(k4_pre_topc(esk1_0,esk2_0,esk3_0,X1),k1_zfmisc_1(u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_28]),c_0_53])]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ v2_waybel34(esk3_0,esk1_0,esk2_0)
    | ~ v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_75,negated_conjecture,
    ( v3_pre_topc(k4_pre_topc(esk1_0,X1,X2,esk5_3(esk1_0,esk2_0,esk3_0)),X1)
    | v2_waybel34(esk3_0,esk1_0,esk2_0)
    | ~ v1_t_0topsp(X2,esk1_0,X1)
    | ~ m2_relset_1(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
    | ~ v1_funct_2(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
    | ~ v1_funct_1(X2)
    | ~ l1_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_29])]),c_0_69]) ).

cnf(c_0_76,negated_conjecture,
    ( v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
    | v2_waybel34(esk3_0,esk1_0,esk2_0) ),
    inference(rw,[status(thm)],[c_0_70,c_0_33]) ).

cnf(c_0_77,negated_conjecture,
    ( v2_waybel34(esk3_0,esk1_0,esk2_0)
    | ~ v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,esk3_0,esk5_3(esk1_0,esk2_0,esk3_0)),k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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(spm,[status(thm)],[c_0_71,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_29]),c_0_62]),c_0_63])]),c_0_72]),c_0_72]),c_0_73])]) ).

cnf(c_0_78,plain,
    ( m1_subset_1(esk4_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
    | v1_t_0topsp(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_pre_topc(X2)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
    | ~ v2_waybel34(esk3_0,esk1_0,esk2_0) ),
    inference(rw,[status(thm)],[c_0_74,c_0_33]) ).

cnf(c_0_80,negated_conjecture,
    v2_waybel34(esk3_0,esk1_0,esk2_0),
    inference(csr,[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(spm,[status(thm)],[c_0_75,c_0_76]),c_0_56]),c_0_39]),c_0_44]),c_0_21]),c_0_53])]),c_0_77]) ).

cnf(c_0_81,plain,
    ( v3_pre_topc(esk4_3(X1,X2,X3),X1)
    | v1_t_0topsp(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_pre_topc(X2)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_82,negated_conjecture,
    ( m1_subset_1(esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_39]),c_0_44]),c_0_21]),c_0_29])]),c_0_53])]) ).

cnf(c_0_83,negated_conjecture,
    ~ v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).

cnf(c_0_84,negated_conjecture,
    ( v3_pre_topc(esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0),esk1_0)
    | v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_39]),c_0_44]),c_0_21]),c_0_29])]),c_0_53])]) ).

cnf(c_0_85,plain,
    ( v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))
    | ~ v3_pre_topc(X4,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v2_waybel34(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_86,negated_conjecture,
    m1_subset_1(esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(sr,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_87,negated_conjecture,
    v3_pre_topc(esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0),esk1_0),
    inference(sr,[status(thm)],[c_0_84,c_0_83]) ).

cnf(c_0_88,plain,
    ( v1_t_0topsp(X3,X1,X2)
    | ~ v3_pre_topc(k4_pre_topc(X1,X2,X3,esk4_3(X1,X2,X3)),X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_pre_topc(X2)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_89,negated_conjecture,
    ( v3_pre_topc(k4_pre_topc(esk1_0,X1,X2,esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0)),k3_pre_topc(X1,k1_yellow_2(esk1_0,X1,X2)))
    | ~ v2_waybel34(X2,esk1_0,X1)
    | ~ m2_relset_1(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
    | ~ v1_funct_2(X2,u1_struct_0(esk1_0),u1_struct_0(X1))
    | ~ v1_funct_1(X2)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_29]),c_0_63])]) ).

cnf(c_0_90,negated_conjecture,
    ( v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
    | ~ v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,esk3_0,esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0)),k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_39]),c_0_44]),c_0_21]),c_0_29])]),c_0_56]),c_0_53])]) ).

cnf(c_0_91,negated_conjecture,
    v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,esk3_0,esk4_3(esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0),esk3_0)),k7_waybel18(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_80]),c_0_72]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_62])]) ).

cnf(c_0_92,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]),c_0_83]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : LAT363+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 10:14:05 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.xnck0EUTAY/E---3.1_13404.p
% 6.22/1.29  # Version: 3.1pre001
% 6.22/1.29  # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.22/1.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.22/1.29  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.22/1.29  # Starting new_bool_3 with 300s (1) cores
% 6.22/1.29  # Starting new_bool_1 with 300s (1) cores
% 6.22/1.29  # Starting sh5l with 300s (1) cores
% 6.22/1.29  # new_bool_3 with pid 13482 completed with status 0
% 6.22/1.29  # Result found by new_bool_3
% 6.22/1.29  # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.22/1.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.22/1.29  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.22/1.29  # Starting new_bool_3 with 300s (1) cores
% 6.22/1.29  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.22/1.29  # Search class: FGHSS-FFMM31-MFFFFFNN
% 6.22/1.29  # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 6.22/1.29  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 6.22/1.29  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 6.22/1.29  # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 13485 completed with status 0
% 6.22/1.29  # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 6.22/1.29  # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.22/1.29  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.22/1.29  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.22/1.29  # Starting new_bool_3 with 300s (1) cores
% 6.22/1.29  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.22/1.29  # Search class: FGHSS-FFMM31-MFFFFFNN
% 6.22/1.29  # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 6.22/1.29  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 6.22/1.29  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 6.22/1.29  # Preprocessing time       : 0.003 s
% 6.22/1.29  # Presaturation interreduction done
% 6.22/1.29  
% 6.22/1.29  # Proof found!
% 6.22/1.29  # SZS status Theorem
% 6.22/1.29  # SZS output start CNFRefutation
% See solution above
% 6.22/1.29  # Parsed axioms                        : 102
% 6.22/1.29  # Removed by relevancy pruning/SinE    : 61
% 6.22/1.29  # Initial clauses                      : 85
% 6.22/1.29  # Removed in clause preprocessing      : 0
% 6.22/1.29  # Initial clauses in saturation        : 85
% 6.22/1.29  # Processed clauses                    : 6499
% 6.22/1.29  # ...of these trivial                  : 1
% 6.22/1.29  # ...subsumed                          : 4438
% 6.22/1.29  # ...remaining for further processing  : 2060
% 6.22/1.29  # Other redundant clauses eliminated   : 0
% 6.22/1.29  # Clauses deleted for lack of memory   : 0
% 6.22/1.29  # Backward-subsumed                    : 87
% 6.22/1.29  # Backward-rewritten                   : 56
% 6.22/1.29  # Generated clauses                    : 8019
% 6.22/1.29  # ...of the previous two non-redundant : 7917
% 6.22/1.29  # ...aggressively subsumed             : 0
% 6.22/1.29  # Contextual simplify-reflections      : 177
% 6.22/1.29  # Paramodulations                      : 8013
% 6.22/1.29  # Factorizations                       : 0
% 6.22/1.29  # NegExts                              : 0
% 6.22/1.29  # Equation resolutions                 : 0
% 6.22/1.29  # Total rewrite steps                  : 1373
% 6.22/1.29  # Propositional unsat checks           : 0
% 6.22/1.29  #    Propositional check models        : 0
% 6.22/1.29  #    Propositional check unsatisfiable : 0
% 6.22/1.29  #    Propositional clauses             : 0
% 6.22/1.29  #    Propositional clauses after purity: 0
% 6.22/1.29  #    Propositional unsat core size     : 0
% 6.22/1.29  #    Propositional preprocessing time  : 0.000
% 6.22/1.29  #    Propositional encoding time       : 0.000
% 6.22/1.29  #    Propositional solver time         : 0.000
% 6.22/1.29  #    Success case prop preproc time    : 0.000
% 6.22/1.29  #    Success case prop encoding time   : 0.000
% 6.22/1.29  #    Success case prop solver time     : 0.000
% 6.22/1.29  # Current number of processed clauses  : 1828
% 6.22/1.29  #    Positive orientable unit clauses  : 60
% 6.22/1.29  #    Positive unorientable unit clauses: 0
% 6.22/1.29  #    Negative unit clauses             : 5
% 6.22/1.29  #    Non-unit-clauses                  : 1763
% 6.22/1.29  # Current number of unprocessed clauses: 1514
% 6.22/1.29  # ...number of literals in the above   : 11842
% 6.22/1.29  # Current number of archived formulas  : 0
% 6.22/1.29  # Current number of archived clauses   : 232
% 6.22/1.29  # Clause-clause subsumption calls (NU) : 981427
% 6.22/1.29  # Rec. Clause-clause subsumption calls : 78084
% 6.22/1.29  # Non-unit clause-clause subsumptions  : 4698
% 6.22/1.29  # Unit Clause-clause subsumption calls : 914
% 6.22/1.29  # Rewrite failures with RHS unbound    : 0
% 6.22/1.29  # BW rewrite match attempts            : 60
% 6.22/1.29  # BW rewrite match successes           : 18
% 6.22/1.29  # Condensation attempts                : 0
% 6.22/1.29  # Condensation successes               : 0
% 6.22/1.29  # Termbank termtop insertions          : 271213
% 6.22/1.29  
% 6.22/1.29  # -------------------------------------------------
% 6.22/1.29  # User time                : 0.833 s
% 6.22/1.29  # System time              : 0.005 s
% 6.22/1.29  # Total time               : 0.838 s
% 6.22/1.29  # Maximum resident set size: 2196 pages
% 6.22/1.29  
% 6.22/1.29  # -------------------------------------------------
% 6.22/1.29  # User time                : 0.836 s
% 6.22/1.29  # System time              : 0.006 s
% 6.22/1.29  # Total time               : 0.843 s
% 6.22/1.29  # Maximum resident set size: 1788 pages
% 6.22/1.29  % E---3.1 exiting
%------------------------------------------------------------------------------