TSTP Solution File: TOP047+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : TOP047+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 21:25:35 EDT 2022

% Result   : Theorem 0.25s 6.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   74 (  21 unt;   0 def)
%            Number of atoms       :  348 (  62 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  437 ( 163   ~; 171   |;  76   &)
%                                         (   3 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :  100 (  11 sgn  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).

fof(dt_u1_orders_2,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u1_orders_2) ).

fof(free_g1_orders_2,axiom,
    ! [X1,X2] :
      ( m1_relset_1(X2,X1,X1)
     => ! [X3,X4] :
          ( g1_orders_2(X1,X2) = g1_orders_2(X3,X4)
         => ( X1 = X3
            & X2 = X4 ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',free_g1_orders_2) ).

fof(t8_waybel33,conjecture,
    ! [X1] :
      ( ( v2_orders_2(X1)
        & v3_orders_2(X1)
        & v4_orders_2(X1)
        & v24_waybel_0(X1)
        & v25_waybel_0(X1)
        & v2_lattice3(X1)
        & l1_orders_2(X1) )
     => ! [X2] :
          ( ( v2_orders_2(X2)
            & v3_orders_2(X2)
            & v4_orders_2(X2)
            & v24_waybel_0(X2)
            & v25_waybel_0(X2)
            & v2_lattice3(X2)
            & l1_orders_2(X2) )
         => ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
           => k14_yellow_6(X1,k3_waybel28(X1)) = k14_yellow_6(X2,k3_waybel28(X2)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_waybel33) ).

fof(d27_yellow_6,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ! [X2] :
          ( m4_yellow_6(X2,X1)
         => ! [X3] :
              ( ( v1_pre_topc(X3)
                & l1_pre_topc(X3) )
             => ( X3 = k14_yellow_6(X1,X2)
              <=> ( u1_struct_0(X3) = u1_struct_0(X1)
                  & u1_pre_topc(X3) = a_2_1_yellow_6(X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d27_yellow_6) ).

fof(dt_k14_yellow_6,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1)
        & m4_yellow_6(X2,X1) )
     => ( v1_pre_topc(k14_yellow_6(X1,X2))
        & l1_pre_topc(k14_yellow_6(X1,X2)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k14_yellow_6) ).

fof(d10_xboole_0,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( r1_tarski(X1,X2)
        & r1_tarski(X2,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_xboole_0) ).

fof(l12_waybel33,axiom,
    ! [X1] :
      ( ( v2_orders_2(X1)
        & v3_orders_2(X1)
        & v4_orders_2(X1)
        & v24_waybel_0(X1)
        & v25_waybel_0(X1)
        & v2_lattice3(X1)
        & l1_orders_2(X1) )
     => ! [X2] :
          ( ( v2_orders_2(X2)
            & v3_orders_2(X2)
            & v4_orders_2(X2)
            & v24_waybel_0(X2)
            & v25_waybel_0(X2)
            & v2_lattice3(X2)
            & l1_orders_2(X2) )
         => ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
           => r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2)))) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l12_waybel33) ).

fof(abstractness_v1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => ( v1_pre_topc(X1)
       => X1 = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',abstractness_v1_pre_topc) ).

fof(cc13_waybel_0,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => ( ( ~ v3_struct_0(X1)
          & v2_orders_2(X1)
          & v4_orders_2(X1)
          & v25_waybel_0(X1) )
       => ( ~ v3_struct_0(X1)
          & v2_orders_2(X1)
          & v4_orders_2(X1)
          & v2_lattice3(X1) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc13_waybel_0) ).

fof(dt_l1_orders_2,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_orders_2) ).

fof(dt_k3_waybel28,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_orders_2(X1) )
     => m4_yellow_6(k3_waybel28(X1),X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_waybel28) ).

fof(cc2_lattice3,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => ( v2_lattice3(X1)
       => ~ v3_struct_0(X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc2_lattice3) ).

fof(c_0_13,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( ~ m2_relset_1(X6,X4,X5)
        | m1_relset_1(X6,X4,X5) )
      & ( ~ m1_relset_1(X6,X4,X5)
        | m2_relset_1(X6,X4,X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).

fof(c_0_14,plain,
    ! [X2] :
      ( ~ l1_orders_2(X2)
      | m2_relset_1(u1_orders_2(X2),u1_struct_0(X2),u1_struct_0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).

fof(c_0_15,plain,
    ! [X5,X6,X7,X8] :
      ( ( X5 = X7
        | g1_orders_2(X5,X6) != g1_orders_2(X7,X8)
        | ~ m1_relset_1(X6,X5,X5) )
      & ( X6 = X8
        | g1_orders_2(X5,X6) != g1_orders_2(X7,X8)
        | ~ m1_relset_1(X6,X5,X5) ) ),
    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)],[free_g1_orders_2])])])])])]) ).

cnf(c_0_16,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,negated_conjecture,
    ~ ! [X1] :
        ( ( v2_orders_2(X1)
          & v3_orders_2(X1)
          & v4_orders_2(X1)
          & v24_waybel_0(X1)
          & v25_waybel_0(X1)
          & v2_lattice3(X1)
          & l1_orders_2(X1) )
       => ! [X2] :
            ( ( v2_orders_2(X2)
              & v3_orders_2(X2)
              & v4_orders_2(X2)
              & v24_waybel_0(X2)
              & v25_waybel_0(X2)
              & v2_lattice3(X2)
              & l1_orders_2(X2) )
           => ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
             => k14_yellow_6(X1,k3_waybel28(X1)) = k14_yellow_6(X2,k3_waybel28(X2)) ) ) ),
    inference(assume_negation,[status(cth)],[t8_waybel33]) ).

cnf(c_0_19,plain,
    ( X2 = X3
    | ~ m1_relset_1(X1,X2,X2)
    | g1_orders_2(X2,X1) != g1_orders_2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_21,negated_conjecture,
    ( v2_orders_2(esk1_0)
    & v3_orders_2(esk1_0)
    & v4_orders_2(esk1_0)
    & v24_waybel_0(esk1_0)
    & v25_waybel_0(esk1_0)
    & v2_lattice3(esk1_0)
    & l1_orders_2(esk1_0)
    & v2_orders_2(esk2_0)
    & v3_orders_2(esk2_0)
    & v4_orders_2(esk2_0)
    & v24_waybel_0(esk2_0)
    & v25_waybel_0(esk2_0)
    & v2_lattice3(esk2_0)
    & l1_orders_2(esk2_0)
    & g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
    & k14_yellow_6(esk1_0,k3_waybel28(esk1_0)) != k14_yellow_6(esk2_0,k3_waybel28(esk2_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)],[c_0_18])])])])]) ).

cnf(c_0_22,plain,
    ( u1_struct_0(X1) = X2
    | g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(X2,X3)
    | ~ l1_orders_2(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    l1_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( u1_struct_0(esk1_0) = X1
    | g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_26,plain,
    ( X1 = X4
    | ~ m1_relset_1(X1,X2,X2)
    | g1_orders_2(X2,X1) != g1_orders_2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_27,negated_conjecture,
    u1_struct_0(esk1_0) = u1_struct_0(esk2_0),
    inference(er,[status(thm)],[c_0_25]) ).

fof(c_0_28,plain,
    ! [X4,X5,X6] :
      ( ( u1_struct_0(X6) = u1_struct_0(X4)
        | X6 != k14_yellow_6(X4,X5)
        | ~ v1_pre_topc(X6)
        | ~ l1_pre_topc(X6)
        | ~ m4_yellow_6(X5,X4)
        | v3_struct_0(X4)
        | ~ l1_struct_0(X4) )
      & ( u1_pre_topc(X6) = a_2_1_yellow_6(X4,X5)
        | X6 != k14_yellow_6(X4,X5)
        | ~ v1_pre_topc(X6)
        | ~ l1_pre_topc(X6)
        | ~ m4_yellow_6(X5,X4)
        | v3_struct_0(X4)
        | ~ l1_struct_0(X4) )
      & ( u1_struct_0(X6) != u1_struct_0(X4)
        | u1_pre_topc(X6) != a_2_1_yellow_6(X4,X5)
        | X6 = k14_yellow_6(X4,X5)
        | ~ v1_pre_topc(X6)
        | ~ l1_pre_topc(X6)
        | ~ m4_yellow_6(X5,X4)
        | v3_struct_0(X4)
        | ~ l1_struct_0(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d27_yellow_6])])])])])])]) ).

fof(c_0_29,plain,
    ! [X3,X4] :
      ( ( v1_pre_topc(k14_yellow_6(X3,X4))
        | v3_struct_0(X3)
        | ~ l1_struct_0(X3)
        | ~ m4_yellow_6(X4,X3) )
      & ( l1_pre_topc(k14_yellow_6(X3,X4))
        | v3_struct_0(X3)
        | ~ l1_struct_0(X3)
        | ~ m4_yellow_6(X4,X3) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k14_yellow_6])])])]) ).

fof(c_0_30,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])])])])]) ).

fof(c_0_31,plain,
    ! [X3,X4] :
      ( ~ v2_orders_2(X3)
      | ~ v3_orders_2(X3)
      | ~ v4_orders_2(X3)
      | ~ v24_waybel_0(X3)
      | ~ v25_waybel_0(X3)
      | ~ v2_lattice3(X3)
      | ~ l1_orders_2(X3)
      | ~ v2_orders_2(X4)
      | ~ v3_orders_2(X4)
      | ~ v4_orders_2(X4)
      | ~ v24_waybel_0(X4)
      | ~ v25_waybel_0(X4)
      | ~ v2_lattice3(X4)
      | ~ l1_orders_2(X4)
      | g1_orders_2(u1_struct_0(X3),u1_orders_2(X3)) != g1_orders_2(u1_struct_0(X4),u1_orders_2(X4))
      | r1_tarski(u1_pre_topc(k14_yellow_6(X3,k3_waybel28(X3))),u1_pre_topc(k14_yellow_6(X4,k3_waybel28(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)],[l12_waybel33])])])])]) ).

cnf(c_0_32,plain,
    ( u1_orders_2(X1) = X2
    | g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(X3,X2)
    | ~ l1_orders_2(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_20]) ).

cnf(c_0_33,negated_conjecture,
    g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
    inference(rw,[status(thm)],[c_0_23,c_0_27]) ).

fof(c_0_34,plain,
    ! [X2] :
      ( ~ l1_pre_topc(X2)
      | ~ v1_pre_topc(X2)
      | X2 = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_pre_topc])]) ).

cnf(c_0_35,plain,
    ( v3_struct_0(X1)
    | u1_struct_0(X3) = u1_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ m4_yellow_6(X2,X1)
    | ~ l1_pre_topc(X3)
    | ~ v1_pre_topc(X3)
    | X3 != k14_yellow_6(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,plain,
    ( v3_struct_0(X2)
    | l1_pre_topc(k14_yellow_6(X2,X1))
    | ~ m4_yellow_6(X1,X2)
    | ~ l1_struct_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,plain,
    ( v3_struct_0(X2)
    | v1_pre_topc(k14_yellow_6(X2,X1))
    | ~ m4_yellow_6(X1,X2)
    | ~ l1_struct_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_38,plain,
    ( X1 = X2
    | ~ r1_tarski(X2,X1)
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_39,plain,
    ( r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2))))
    | g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
    | ~ l1_orders_2(X2)
    | ~ v2_lattice3(X2)
    | ~ v25_waybel_0(X2)
    | ~ v24_waybel_0(X2)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v25_waybel_0(X1)
    | ~ v24_waybel_0(X1)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v2_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,negated_conjecture,
    ( u1_orders_2(esk1_0) = X1
    | g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_33]),c_0_24])]) ).

cnf(c_0_41,plain,
    ( X1 = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
    | ~ v1_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_42,plain,
    ( u1_struct_0(k14_yellow_6(X1,X2)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ m4_yellow_6(X2,X1)
    | ~ l1_struct_0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_35]),c_0_36]),c_0_37]) ).

cnf(c_0_43,plain,
    ( u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))) = u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2)))
    | g1_orders_2(u1_struct_0(X2),u1_orders_2(X2)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v2_lattice3(X1)
    | ~ v2_lattice3(X2)
    | ~ v25_waybel_0(X1)
    | ~ v25_waybel_0(X2)
    | ~ v24_waybel_0(X1)
    | ~ v24_waybel_0(X2)
    | ~ v4_orders_2(X1)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X1)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X1)
    | ~ v2_orders_2(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    u1_orders_2(esk1_0) = u1_orders_2(esk2_0),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    v2_lattice3(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_46,negated_conjecture,
    v25_waybel_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_47,negated_conjecture,
    v24_waybel_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_48,negated_conjecture,
    v4_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_49,negated_conjecture,
    v3_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_50,negated_conjecture,
    v2_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_51,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(X2)
        | v3_struct_0(X2)
        | ~ v2_orders_2(X2)
        | ~ v4_orders_2(X2)
        | ~ v25_waybel_0(X2)
        | ~ l1_orders_2(X2) )
      & ( v2_orders_2(X2)
        | v3_struct_0(X2)
        | ~ v2_orders_2(X2)
        | ~ v4_orders_2(X2)
        | ~ v25_waybel_0(X2)
        | ~ l1_orders_2(X2) )
      & ( v4_orders_2(X2)
        | v3_struct_0(X2)
        | ~ v2_orders_2(X2)
        | ~ v4_orders_2(X2)
        | ~ v25_waybel_0(X2)
        | ~ l1_orders_2(X2) )
      & ( v2_lattice3(X2)
        | v3_struct_0(X2)
        | ~ v2_orders_2(X2)
        | ~ v4_orders_2(X2)
        | ~ v25_waybel_0(X2)
        | ~ l1_orders_2(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc13_waybel_0])])])]) ).

fof(c_0_52,plain,
    ! [X2] :
      ( ~ l1_orders_2(X2)
      | l1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).

fof(c_0_53,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ l1_orders_2(X2)
      | m4_yellow_6(k3_waybel28(X2),X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_waybel28])])]) ).

cnf(c_0_54,plain,
    ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(k14_yellow_6(X1,X2))) = k14_yellow_6(X1,X2)
    | v3_struct_0(X1)
    | ~ m4_yellow_6(X2,X1)
    | ~ l1_struct_0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_36]),c_0_37]) ).

cnf(c_0_55,negated_conjecture,
    ( u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))
    | g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
    | ~ l1_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v25_waybel_0(X1)
    | ~ v24_waybel_0(X1)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v2_orders_2(X1) ),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_27]),c_0_24]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).

cnf(c_0_56,plain,
    ( v3_struct_0(X1)
    | v2_lattice3(X1)
    | ~ l1_orders_2(X1)
    | ~ v25_waybel_0(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_57,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_58,plain,
    ( m4_yellow_6(k3_waybel28(X1),X1)
    | v3_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0)))) = k14_yellow_6(X1,k3_waybel28(X1))
    | v3_struct_0(X1)
    | g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
    | ~ l1_orders_2(X1)
    | ~ v25_waybel_0(X1)
    | ~ v24_waybel_0(X1)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v2_orders_2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]),c_0_58]) ).

fof(c_0_60,plain,
    ! [X2] :
      ( ~ l1_orders_2(X2)
      | ~ v2_lattice3(X2)
      | ~ v3_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc2_lattice3])])]) ).

cnf(c_0_61,negated_conjecture,
    ( g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0)))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0))
    | v3_struct_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_27]),c_0_44]),c_0_24]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).

cnf(c_0_62,negated_conjecture,
    l1_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_63,negated_conjecture,
    v25_waybel_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_64,negated_conjecture,
    v24_waybel_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_65,negated_conjecture,
    v4_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_66,negated_conjecture,
    v3_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_67,negated_conjecture,
    v2_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_68,negated_conjecture,
    k14_yellow_6(esk1_0,k3_waybel28(esk1_0)) != k14_yellow_6(esk2_0,k3_waybel28(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_69,plain,
    ( ~ v3_struct_0(X1)
    | ~ v2_lattice3(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_70,negated_conjecture,
    ( v3_struct_0(esk1_0)
    | v3_struct_0(esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_61]),c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67])]),c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    v3_struct_0(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_24]),c_0_45])]) ).

cnf(c_0_72,negated_conjecture,
    v2_lattice3(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_71]),c_0_62]),c_0_72])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : TOP047+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 14:54:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.25/6.43  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/6.43  # Preprocessing time       : 0.023 s
% 0.25/6.43  
% 0.25/6.43  # Proof found!
% 0.25/6.43  # SZS status Theorem
% 0.25/6.43  # SZS output start CNFRefutation
% See solution above
% 0.25/6.43  # Proof object total steps             : 74
% 0.25/6.43  # Proof object clause steps            : 47
% 0.25/6.43  # Proof object formula steps           : 27
% 0.25/6.43  # Proof object conjectures             : 30
% 0.25/6.43  # Proof object clause conjectures      : 27
% 0.25/6.43  # Proof object formula conjectures     : 3
% 0.25/6.43  # Proof object initial clauses used    : 30
% 0.25/6.43  # Proof object initial formulas used   : 13
% 0.25/6.43  # Proof object generating inferences   : 16
% 0.25/6.43  # Proof object simplifying inferences  : 45
% 0.25/6.43  # Training examples: 0 positive, 0 negative
% 0.25/6.43  # Parsed axioms                        : 102
% 0.25/6.43  # Removed by relevancy pruning/SinE    : 0
% 0.25/6.43  # Initial clauses                      : 215
% 0.25/6.43  # Removed in clause preprocessing      : 22
% 0.25/6.43  # Initial clauses in saturation        : 193
% 0.25/6.43  # Processed clauses                    : 25892
% 0.25/6.43  # ...of these trivial                  : 334
% 0.25/6.43  # ...subsumed                          : 20936
% 0.25/6.43  # ...remaining for further processing  : 4622
% 0.25/6.43  # Other redundant clauses eliminated   : 119
% 0.25/6.43  # Clauses deleted for lack of memory   : 62810
% 0.25/6.43  # Backward-subsumed                    : 125
% 0.25/6.43  # Backward-rewritten                   : 93
% 0.25/6.43  # Generated clauses                    : 193464
% 0.25/6.43  # ...of the previous two non-trivial   : 181640
% 0.25/6.43  # Contextual simplify-reflections      : 34914
% 0.25/6.43  # Paramodulations                      : 192855
% 0.25/6.43  # Factorizations                       : 272
% 0.25/6.43  # Equation resolutions                 : 234
% 0.25/6.43  # Current number of processed clauses  : 4340
% 0.25/6.43  #    Positive orientable unit clauses  : 118
% 0.25/6.43  #    Positive unorientable unit clauses: 1
% 0.25/6.43  #    Negative unit clauses             : 14
% 0.25/6.43  #    Non-unit-clauses                  : 4207
% 0.25/6.43  # Current number of unprocessed clauses: 86214
% 0.25/6.43  # ...number of literals in the above   : 704954
% 0.25/6.43  # Current number of archived formulas  : 0
% 0.25/6.43  # Current number of archived clauses   : 219
% 0.25/6.43  # Clause-clause subsumption calls (NU) : 9938433
% 0.25/6.43  # Rec. Clause-clause subsumption calls : 1949074
% 0.25/6.43  # Non-unit clause-clause subsumptions  : 55209
% 0.25/6.43  # Unit Clause-clause subsumption calls : 20202
% 0.25/6.43  # Rewrite failures with RHS unbound    : 0
% 0.25/6.43  # BW rewrite match attempts            : 107
% 0.25/6.43  # BW rewrite match successes           : 24
% 0.25/6.43  # Condensation attempts                : 0
% 0.25/6.43  # Condensation successes               : 0
% 0.25/6.43  # Termbank termtop insertions          : 5523665
% 0.25/6.43  
% 0.25/6.43  # -------------------------------------------------
% 0.25/6.43  # User time                : 5.826 s
% 0.25/6.43  # System time              : 0.107 s
% 0.25/6.43  # Total time               : 5.933 s
% 0.25/6.43  # Maximum resident set size: 135004 pages
% 0.25/23.40  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42  eprover: No such file or directory
% 0.25/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42  eprover: No such file or directory
% 0.25/23.43  eprover: CPU time limit exceeded, terminating
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51  eprover: No such file or directory
% 0.25/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.52  eprover: No such file or directory
% 0.25/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.52  eprover: No such file or directory
%------------------------------------------------------------------------------