TSTP Solution File: TOP047+1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : TOP047+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n014.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  : 300s
% DateTime : Fri Sep  1 05:54:13 EDT 2023

% Result   : Theorem 1.16s 1.31s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :  100
% Syntax   : Number of formulae    :  181 (  32 unt;  88 typ;   0 def)
%            Number of atoms       :  349 (  73 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  403 ( 147   ~; 149   |;  74   &)
%                                         (   4 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  105 (  72   >;  33   *;   0   +;   0  <<)
%            Number of predicates  :   40 (  38 usr;   1 prp; 0-3 aty)
%            Number of functors    :   50 (  50 usr;  16 con; 0-4 aty)
%            Number of variables   :  101 (   5 sgn;  53   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    v2_orders_2: $i > $o ).

tff(decl_23,type,
    v3_orders_2: $i > $o ).

tff(decl_24,type,
    v4_orders_2: $i > $o ).

tff(decl_25,type,
    v24_waybel_0: $i > $o ).

tff(decl_26,type,
    v25_waybel_0: $i > $o ).

tff(decl_27,type,
    v2_lattice3: $i > $o ).

tff(decl_28,type,
    l1_orders_2: $i > $o ).

tff(decl_29,type,
    u1_struct_0: $i > $i ).

tff(decl_30,type,
    u1_orders_2: $i > $i ).

tff(decl_31,type,
    g1_orders_2: ( $i * $i ) > $i ).

tff(decl_32,type,
    k3_waybel28: $i > $i ).

tff(decl_33,type,
    k14_yellow_6: ( $i * $i ) > $i ).

tff(decl_34,type,
    v1_orders_2: $i > $o ).

tff(decl_35,type,
    l1_pre_topc: $i > $o ).

tff(decl_36,type,
    v1_pre_topc: $i > $o ).

tff(decl_37,type,
    u1_pre_topc: $i > $i ).

tff(decl_38,type,
    g1_pre_topc: ( $i * $i ) > $i ).

tff(decl_39,type,
    r2_hidden: ( $i * $i ) > $o ).

tff(decl_40,type,
    v3_struct_0: $i > $o ).

tff(decl_41,type,
    v1_yellow_0: $i > $o ).

tff(decl_42,type,
    v1_xboole_0: $i > $o ).

tff(decl_43,type,
    v1_finset_1: $i > $o ).

tff(decl_44,type,
    v1_funct_1: $i > $o ).

tff(decl_45,type,
    v1_relat_1: $i > $o ).

tff(decl_46,type,
    k2_zfmisc_1: ( $i * $i ) > $i ).

tff(decl_47,type,
    k1_zfmisc_1: $i > $i ).

tff(decl_48,type,
    m1_subset_1: ( $i * $i ) > $o ).

tff(decl_49,type,
    v2_pre_topc: $i > $o ).

tff(decl_50,type,
    v3_pre_topc: ( $i * $i ) > $o ).

tff(decl_51,type,
    v4_pre_topc: ( $i * $i ) > $o ).

tff(decl_52,type,
    v2_funct_1: $i > $o ).

tff(decl_53,type,
    v2_tops_1: ( $i * $i ) > $o ).

tff(decl_54,type,
    v3_tops_1: ( $i * $i ) > $o ).

tff(decl_55,type,
    v1_membered: $i > $o ).

tff(decl_56,type,
    v2_membered: $i > $o ).

tff(decl_57,type,
    v3_membered: $i > $o ).

tff(decl_58,type,
    v4_membered: $i > $o ).

tff(decl_59,type,
    v5_membered: $i > $o ).

tff(decl_60,type,
    l1_struct_0: $i > $o ).

tff(decl_61,type,
    m4_yellow_6: ( $i * $i ) > $o ).

tff(decl_62,type,
    k2_tarski: ( $i * $i ) > $i ).

tff(decl_63,type,
    r1_tarski: ( $i * $i ) > $o ).

tff(decl_64,type,
    a_2_1_yellow_6: ( $i * $i ) > $i ).

tff(decl_65,type,
    k4_tarski: ( $i * $i ) > $i ).

tff(decl_66,type,
    k1_tarski: $i > $i ).

tff(decl_67,type,
    m1_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_68,type,
    l1_waybel_0: ( $i * $i ) > $o ).

tff(decl_69,type,
    m2_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_70,type,
    k1_xboole_0: $i ).

tff(decl_71,type,
    v3_relat_1: $i > $o ).

tff(decl_72,type,
    v7_waybel_0: $i > $o ).

tff(decl_73,type,
    r1_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_74,type,
    esk1_0: $i ).

tff(decl_75,type,
    esk2_0: $i ).

tff(decl_76,type,
    esk3_0: $i ).

tff(decl_77,type,
    esk4_0: $i ).

tff(decl_78,type,
    esk5_0: $i ).

tff(decl_79,type,
    esk6_1: $i > $i ).

tff(decl_80,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_81,type,
    esk8_1: $i > $i ).

tff(decl_82,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_83,type,
    esk10_1: $i > $i ).

tff(decl_84,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_85,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_86,type,
    esk13_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_87,type,
    esk14_0: $i ).

tff(decl_88,type,
    esk15_0: $i ).

tff(decl_89,type,
    esk16_0: $i ).

tff(decl_90,type,
    esk17_1: $i > $i ).

tff(decl_91,type,
    esk18_1: $i > $i ).

tff(decl_92,type,
    esk19_0: $i ).

tff(decl_93,type,
    esk20_0: $i ).

tff(decl_94,type,
    esk21_1: $i > $i ).

tff(decl_95,type,
    esk22_1: $i > $i ).

tff(decl_96,type,
    esk23_1: $i > $i ).

tff(decl_97,type,
    esk24_1: $i > $i ).

tff(decl_98,type,
    esk25_0: $i ).

tff(decl_99,type,
    esk26_0: $i ).

tff(decl_100,type,
    esk27_0: $i ).

tff(decl_101,type,
    esk28_1: $i > $i ).

tff(decl_102,type,
    esk29_1: $i > $i ).

tff(decl_103,type,
    esk30_1: $i > $i ).

tff(decl_104,type,
    esk31_0: $i ).

tff(decl_105,type,
    esk32_1: $i > $i ).

tff(decl_106,type,
    esk33_0: $i ).

tff(decl_107,type,
    esk34_1: $i > $i ).

tff(decl_108,type,
    esk35_1: $i > $i ).

tff(decl_109,type,
    esk36_2: ( $i * $i ) > $i ).

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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',dt_k14_yellow_6) ).

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/benchmark/theBenchmark.p',l12_waybel33) ).

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/benchmark/theBenchmark.p',dt_k3_waybel28) ).

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

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

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

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/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).

fof(c_0_12,plain,
    ! [X148,X149,X150] :
      ( ( ~ m2_relset_1(X150,X148,X149)
        | m1_relset_1(X150,X148,X149) )
      & ( ~ m1_relset_1(X150,X148,X149)
        | m2_relset_1(X150,X148,X149) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).

fof(c_0_13,plain,
    ! [X62] :
      ( ~ l1_orders_2(X62)
      | m2_relset_1(u1_orders_2(X62),u1_struct_0(X62),u1_struct_0(X62)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).

fof(c_0_14,plain,
    ! [X104,X105,X106,X107] :
      ( ( X104 = X106
        | g1_orders_2(X104,X105) != g1_orders_2(X106,X107)
        | ~ m1_relset_1(X105,X104,X104) )
      & ( X105 = X107
        | g1_orders_2(X104,X105) != g1_orders_2(X106,X107)
        | ~ m1_relset_1(X105,X104,X104) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])]) ).

cnf(c_0_15,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,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_13]) ).

fof(c_0_17,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_18,plain,
    ( X1 = X2
    | g1_orders_2(X3,X1) != g1_orders_2(X4,X2)
    | ~ m1_relset_1(X1,X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,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_15,c_0_16]) ).

fof(c_0_20,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).

cnf(c_0_21,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_18,c_0_19]) ).

cnf(c_0_22,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_20]) ).

cnf(c_0_23,negated_conjecture,
    l1_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,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(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_25,negated_conjecture,
    u1_orders_2(esk1_0) = u1_orders_2(esk2_0),
    inference(er,[status(thm)],[c_0_24]) ).

cnf(c_0_26,plain,
    ( X1 = X2
    | g1_orders_2(X1,X3) != g1_orders_2(X2,X4)
    | ~ m1_relset_1(X3,X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_27,negated_conjecture,
    m1_relset_1(u1_orders_2(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_25]),c_0_23])]) ).

cnf(c_0_28,negated_conjecture,
    g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk2_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
    inference(rw,[status(thm)],[c_0_22,c_0_25]) ).

fof(c_0_29,plain,
    ! [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) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d27_yellow_6]) ).

fof(c_0_30,plain,
    ! [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)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k14_yellow_6]) ).

fof(c_0_31,plain,
    ! [X112,X113] :
      ( ~ v2_orders_2(X112)
      | ~ v3_orders_2(X112)
      | ~ v4_orders_2(X112)
      | ~ v24_waybel_0(X112)
      | ~ v25_waybel_0(X112)
      | ~ v2_lattice3(X112)
      | ~ l1_orders_2(X112)
      | ~ v2_orders_2(X113)
      | ~ v3_orders_2(X113)
      | ~ v4_orders_2(X113)
      | ~ v24_waybel_0(X113)
      | ~ v25_waybel_0(X113)
      | ~ v2_lattice3(X113)
      | ~ l1_orders_2(X113)
      | g1_orders_2(u1_struct_0(X112),u1_orders_2(X112)) != g1_orders_2(u1_struct_0(X113),u1_orders_2(X113))
      | r1_tarski(u1_pre_topc(k14_yellow_6(X112,k3_waybel28(X112))),u1_pre_topc(k14_yellow_6(X113,k3_waybel28(X113)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l12_waybel33])])]) ).

cnf(c_0_32,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

fof(c_0_33,plain,
    ! [X43,X44,X45] :
      ( ( u1_struct_0(X45) = u1_struct_0(X43)
        | X45 != k14_yellow_6(X43,X44)
        | ~ v1_pre_topc(X45)
        | ~ l1_pre_topc(X45)
        | ~ m4_yellow_6(X44,X43)
        | v3_struct_0(X43)
        | ~ l1_struct_0(X43) )
      & ( u1_pre_topc(X45) = a_2_1_yellow_6(X43,X44)
        | X45 != k14_yellow_6(X43,X44)
        | ~ v1_pre_topc(X45)
        | ~ l1_pre_topc(X45)
        | ~ m4_yellow_6(X44,X43)
        | v3_struct_0(X43)
        | ~ l1_struct_0(X43) )
      & ( u1_struct_0(X45) != u1_struct_0(X43)
        | u1_pre_topc(X45) != a_2_1_yellow_6(X43,X44)
        | X45 = k14_yellow_6(X43,X44)
        | ~ v1_pre_topc(X45)
        | ~ l1_pre_topc(X45)
        | ~ m4_yellow_6(X44,X43)
        | v3_struct_0(X43)
        | ~ l1_struct_0(X43) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).

fof(c_0_34,plain,
    ! [X52,X53] :
      ( ( v1_pre_topc(k14_yellow_6(X52,X53))
        | v3_struct_0(X52)
        | ~ l1_struct_0(X52)
        | ~ m4_yellow_6(X53,X52) )
      & ( l1_pre_topc(k14_yellow_6(X52,X53))
        | v3_struct_0(X52)
        | ~ l1_struct_0(X52)
        | ~ m4_yellow_6(X53,X52) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

fof(c_0_35,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_orders_2(X1) )
     => m4_yellow_6(k3_waybel28(X1),X1) ),
    inference(fof_simplification,[status(thm)],[dt_k3_waybel28]) ).

fof(c_0_36,plain,
    ! [X1] :
      ( l1_orders_2(X1)
     => ( v2_lattice3(X1)
       => ~ v3_struct_0(X1) ) ),
    inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).

cnf(c_0_37,plain,
    ( r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2))))
    | ~ 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)
    | ~ 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)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    u1_struct_0(esk1_0) = u1_struct_0(esk2_0),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    v2_lattice3(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_40,negated_conjecture,
    v25_waybel_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_41,negated_conjecture,
    v24_waybel_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_42,negated_conjecture,
    v4_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_43,negated_conjecture,
    v3_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_44,negated_conjecture,
    v2_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_45,plain,
    ( u1_pre_topc(X1) = a_2_1_yellow_6(X2,X3)
    | v3_struct_0(X2)
    | X1 != k14_yellow_6(X2,X3)
    | ~ v1_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m4_yellow_6(X3,X2)
    | ~ l1_struct_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_46,plain,
    ( l1_pre_topc(k14_yellow_6(X1,X2))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ m4_yellow_6(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_47,plain,
    ( v1_pre_topc(k14_yellow_6(X1,X2))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ m4_yellow_6(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_48,plain,
    ! [X54] :
      ( v3_struct_0(X54)
      | ~ l1_orders_2(X54)
      | m4_yellow_6(k3_waybel28(X54),X54) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).

fof(c_0_49,plain,
    ! [X55] :
      ( ~ l1_orders_2(X55)
      | l1_struct_0(X55) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).

fof(c_0_50,plain,
    ! [X26] :
      ( ~ l1_orders_2(X26)
      | ~ v2_lattice3(X26)
      | ~ v3_struct_0(X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).

cnf(c_0_51,negated_conjecture,
    ( r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))))
    | 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_37,c_0_25]),c_0_38]),c_0_23]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44])]) ).

cnf(c_0_52,negated_conjecture,
    l1_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_53,negated_conjecture,
    v2_lattice3(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_54,negated_conjecture,
    v25_waybel_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_55,negated_conjecture,
    v24_waybel_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_56,negated_conjecture,
    v4_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_57,negated_conjecture,
    v3_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_58,negated_conjecture,
    v2_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_59,plain,
    ( u1_pre_topc(k14_yellow_6(X1,X2)) = a_2_1_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(er,[status(thm)],[c_0_45]),c_0_46]),c_0_47]) ).

cnf(c_0_60,plain,
    ( v3_struct_0(X1)
    | m4_yellow_6(k3_waybel28(X1),X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_61,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_62,plain,
    ( ~ l1_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_63,plain,
    ! [X41,X42] :
      ( ( r1_tarski(X41,X42)
        | X41 != X42 )
      & ( r1_tarski(X42,X41)
        | X41 != X42 )
      & ( ~ r1_tarski(X41,X42)
        | ~ r1_tarski(X42,X41)
        | X41 = X42 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).

cnf(c_0_64,negated_conjecture,
    r1_tarski(u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(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(er,[status(thm)],[c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58])]) ).

cnf(c_0_65,plain,
    ( u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))) = a_2_1_yellow_6(X1,k3_waybel28(X1))
    | v3_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_53]),c_0_52])]) ).

cnf(c_0_67,negated_conjecture,
    ( r1_tarski(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(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
    | ~ 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_37,c_0_25]),c_0_38]),c_0_23]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44])]) ).

cnf(c_0_68,plain,
    ( X1 = X2
    | ~ r1_tarski(X1,X2)
    | ~ r1_tarski(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_69,negated_conjecture,
    r1_tarski(a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_52])]),c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    r1_tarski(u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(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(rw,[status(thm)],[inference(er,[status(thm)],[c_0_67]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58])]) ).

cnf(c_0_71,negated_conjecture,
    ( u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))
    | ~ r1_tarski(u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_72,negated_conjecture,
    r1_tarski(u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_52])]),c_0_66]) ).

fof(c_0_73,plain,
    ! [X10] :
      ( ~ l1_pre_topc(X10)
      | ~ v1_pre_topc(X10)
      | X10 = g1_pre_topc(u1_struct_0(X10),u1_pre_topc(X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_pre_topc])]) ).

cnf(c_0_74,negated_conjecture,
    ( u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0)))
    | ~ r1_tarski(u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0)))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_64]) ).

cnf(c_0_75,negated_conjecture,
    u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).

cnf(c_0_76,plain,
    ( X1 = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
    | ~ l1_pre_topc(X1)
    | ~ v1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_77,negated_conjecture,
    u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))) = a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_70])]),c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    ( g1_pre_topc(u1_struct_0(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0))
    | ~ v1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0)))
    | ~ l1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_76,c_0_75]) ).

cnf(c_0_79,plain,
    ( v3_struct_0(X1)
    | v1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))
    | ~ l1_orders_2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_60]),c_0_61]) ).

cnf(c_0_80,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_39]),c_0_23])]) ).

cnf(c_0_81,plain,
    ( u1_struct_0(X1) = u1_struct_0(X2)
    | v3_struct_0(X2)
    | X1 != k14_yellow_6(X2,X3)
    | ~ v1_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m4_yellow_6(X3,X2)
    | ~ l1_struct_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_82,negated_conjecture,
    ( g1_pre_topc(u1_struct_0(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk2_0,k3_waybel28(esk2_0))
    | ~ v1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0)))
    | ~ l1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_83,negated_conjecture,
    ( g1_pre_topc(u1_struct_0(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0))
    | ~ l1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_23])]),c_0_80]) ).

cnf(c_0_84,plain,
    ( v3_struct_0(X1)
    | l1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))
    | ~ l1_orders_2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_60]),c_0_61]) ).

cnf(c_0_85,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_81]),c_0_46]),c_0_47]) ).

cnf(c_0_86,negated_conjecture,
    ( g1_pre_topc(u1_struct_0(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk2_0,k3_waybel28(esk2_0))
    | ~ l1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_79]),c_0_52])]),c_0_66]) ).

cnf(c_0_87,negated_conjecture,
    g1_pre_topc(u1_struct_0(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_23])]),c_0_80]) ).

cnf(c_0_88,plain,
    ( u1_struct_0(k14_yellow_6(X1,k3_waybel28(X1))) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_60]),c_0_61]) ).

cnf(c_0_89,negated_conjecture,
    g1_pre_topc(u1_struct_0(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk2_0,k3_waybel28(esk2_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_84]),c_0_52])]),c_0_66]) ).

cnf(c_0_90,negated_conjecture,
    g1_pre_topc(u1_struct_0(esk2_0),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_38]),c_0_23])]),c_0_80]) ).

cnf(c_0_91,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_20]) ).

cnf(c_0_92,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_88]),c_0_90]),c_0_52])]),c_0_91]),c_0_66]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : TOP047+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 23:57:02 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 1.16/1.31  % Version  : CSE_E---1.5
% 1.16/1.31  % Problem  : theBenchmark.p
% 1.16/1.31  % Proof found
% 1.16/1.31  % SZS status Theorem for theBenchmark.p
% 1.16/1.31  % SZS output start Proof
% See solution above
% 1.26/1.32  % Total time : 0.714000 s
% 1.26/1.32  % SZS output end Proof
% 1.26/1.32  % Total time : 0.719000 s
%------------------------------------------------------------------------------