TSTP Solution File: SEU243+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SEU243+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n007.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 : Thu Aug 31 16:23:44 EDT 2023

% Result   : Theorem 11.84s 11.94s
% Output   : CNFRefutation 11.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  183
% Syntax   : Number of formulae    :  207 (   4 unt; 180 typ;   0 def)
%            Number of atoms       :  125 (  14 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  168 (  70   ~;  74   |;  16   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  328 ( 166   >; 162   *;   0   +;   0  <<)
%            Number of predicates  :   28 (  26 usr;   1 prp; 0-2 aty)
%            Number of functors    :  154 ( 154 usr;  14 con; 0-5 aty)
%            Number of variables   :   44 (   0 sgn;  17   !;   0   ?;   0   :)

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

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

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

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

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

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

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

tff(decl_29,type,
    relation: $i > $o ).

tff(decl_30,type,
    one_to_one: $i > $o ).

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

tff(decl_32,type,
    set_union2: ( $i * $i ) > $i ).

tff(decl_33,type,
    set_intersection2: ( $i * $i ) > $i ).

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

tff(decl_35,type,
    identity_relation: $i > $i ).

tff(decl_36,type,
    ordered_pair: ( $i * $i ) > $i ).

tff(decl_37,type,
    subset: ( $i * $i ) > $o ).

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

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

tff(decl_40,type,
    relation_dom: $i > $i ).

tff(decl_41,type,
    apply: ( $i * $i ) > $i ).

tff(decl_42,type,
    relation_rng_restriction: ( $i * $i ) > $i ).

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

tff(decl_44,type,
    relation_field: $i > $i ).

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

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

tff(decl_47,type,
    connected: $i > $o ).

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

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

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

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

tff(decl_52,type,
    succ: $i > $i ).

tff(decl_53,type,
    singleton: $i > $i ).

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

tff(decl_55,type,
    empty_set: $i ).

tff(decl_56,type,
    set_meet: $i > $i ).

tff(decl_57,type,
    powerset: $i > $i ).

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

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

tff(decl_60,type,
    fiber: ( $i * $i ) > $i ).

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

tff(decl_62,type,
    cartesian_product2: ( $i * $i ) > $i ).

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

tff(decl_64,type,
    cast_to_subset: $i > $i ).

tff(decl_65,type,
    union: $i > $i ).

tff(decl_66,type,
    set_difference: ( $i * $i ) > $i ).

tff(decl_67,type,
    relation_rng: $i > $i ).

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

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

tff(decl_70,type,
    relation_inverse: $i > $i ).

tff(decl_71,type,
    relation_composition: ( $i * $i ) > $i ).

tff(decl_72,type,
    complements_of_subsets: ( $i * $i ) > $i ).

tff(decl_73,type,
    function_inverse: $i > $i ).

tff(decl_74,type,
    reflexive: $i > $o ).

tff(decl_75,type,
    union_of_subsets: ( $i * $i ) > $i ).

tff(decl_76,type,
    meet_of_subsets: ( $i * $i ) > $i ).

tff(decl_77,type,
    subset_difference: ( $i * $i * $i ) > $i ).

tff(decl_78,type,
    relation_empty_yielding: $i > $o ).

tff(decl_79,type,
    are_equipotent: ( $i * $i ) > $o ).

tff(decl_80,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_81,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_82,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_83,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_84,type,
    esk5_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_86,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_87,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_88,type,
    esk9_3: ( $i * $i * $i ) > $i ).

tff(decl_89,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_90,type,
    esk11_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    esk12_3: ( $i * $i * $i ) > $i ).

tff(decl_92,type,
    esk13_3: ( $i * $i * $i ) > $i ).

tff(decl_93,type,
    esk14_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_94,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_95,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_96,type,
    esk17_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_97,type,
    esk18_2: ( $i * $i ) > $i ).

tff(decl_98,type,
    esk19_2: ( $i * $i ) > $i ).

tff(decl_99,type,
    esk20_1: $i > $i ).

tff(decl_100,type,
    esk21_2: ( $i * $i ) > $i ).

tff(decl_101,type,
    esk22_3: ( $i * $i * $i ) > $i ).

tff(decl_102,type,
    esk23_2: ( $i * $i ) > $i ).

tff(decl_103,type,
    esk24_2: ( $i * $i ) > $i ).

tff(decl_104,type,
    esk25_2: ( $i * $i ) > $i ).

tff(decl_105,type,
    esk26_1: $i > $i ).

tff(decl_106,type,
    esk27_2: ( $i * $i ) > $i ).

tff(decl_107,type,
    esk28_1: $i > $i ).

tff(decl_108,type,
    esk29_2: ( $i * $i ) > $i ).

tff(decl_109,type,
    esk30_2: ( $i * $i ) > $i ).

tff(decl_110,type,
    esk31_3: ( $i * $i * $i ) > $i ).

tff(decl_111,type,
    esk32_2: ( $i * $i ) > $i ).

tff(decl_112,type,
    esk33_1: $i > $i ).

tff(decl_113,type,
    esk34_3: ( $i * $i * $i ) > $i ).

tff(decl_114,type,
    esk35_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_115,type,
    esk36_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_116,type,
    esk37_3: ( $i * $i * $i ) > $i ).

tff(decl_117,type,
    esk38_3: ( $i * $i * $i ) > $i ).

tff(decl_118,type,
    esk39_3: ( $i * $i * $i ) > $i ).

tff(decl_119,type,
    esk40_1: $i > $i ).

tff(decl_120,type,
    esk41_1: $i > $i ).

tff(decl_121,type,
    esk42_2: ( $i * $i ) > $i ).

tff(decl_122,type,
    esk43_2: ( $i * $i ) > $i ).

tff(decl_123,type,
    esk44_2: ( $i * $i ) > $i ).

tff(decl_124,type,
    esk45_3: ( $i * $i * $i ) > $i ).

tff(decl_125,type,
    esk46_2: ( $i * $i ) > $i ).

tff(decl_126,type,
    esk47_3: ( $i * $i * $i ) > $i ).

tff(decl_127,type,
    esk48_3: ( $i * $i * $i ) > $i ).

tff(decl_128,type,
    esk49_2: ( $i * $i ) > $i ).

tff(decl_129,type,
    esk50_2: ( $i * $i ) > $i ).

tff(decl_130,type,
    esk51_2: ( $i * $i ) > $i ).

tff(decl_131,type,
    esk52_2: ( $i * $i ) > $i ).

tff(decl_132,type,
    esk53_3: ( $i * $i * $i ) > $i ).

tff(decl_133,type,
    esk54_2: ( $i * $i ) > $i ).

tff(decl_134,type,
    esk55_2: ( $i * $i ) > $i ).

tff(decl_135,type,
    esk56_3: ( $i * $i * $i ) > $i ).

tff(decl_136,type,
    esk57_3: ( $i * $i * $i ) > $i ).

tff(decl_137,type,
    esk58_2: ( $i * $i ) > $i ).

tff(decl_138,type,
    esk59_2: ( $i * $i ) > $i ).

tff(decl_139,type,
    esk60_3: ( $i * $i * $i ) > $i ).

tff(decl_140,type,
    esk61_2: ( $i * $i ) > $i ).

tff(decl_141,type,
    esk62_2: ( $i * $i ) > $i ).

tff(decl_142,type,
    esk63_2: ( $i * $i ) > $i ).

tff(decl_143,type,
    esk64_2: ( $i * $i ) > $i ).

tff(decl_144,type,
    esk65_2: ( $i * $i ) > $i ).

tff(decl_145,type,
    esk66_2: ( $i * $i ) > $i ).

tff(decl_146,type,
    esk67_1: $i > $i ).

tff(decl_147,type,
    esk68_1: $i > $i ).

tff(decl_148,type,
    esk69_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_149,type,
    esk70_3: ( $i * $i * $i ) > $i ).

tff(decl_150,type,
    esk71_3: ( $i * $i * $i ) > $i ).

tff(decl_151,type,
    esk72_3: ( $i * $i * $i ) > $i ).

tff(decl_152,type,
    esk73_2: ( $i * $i ) > $i ).

tff(decl_153,type,
    esk74_2: ( $i * $i ) > $i ).

tff(decl_154,type,
    esk75_2: ( $i * $i ) > $i ).

tff(decl_155,type,
    esk76_3: ( $i * $i * $i ) > $i ).

tff(decl_156,type,
    esk77_1: $i > $i ).

tff(decl_157,type,
    esk78_1: $i > $i ).

tff(decl_158,type,
    esk79_1: $i > $i ).

tff(decl_159,type,
    esk80_1: $i > $i ).

tff(decl_160,type,
    esk81_1: $i > $i ).

tff(decl_161,type,
    esk82_1: $i > $i ).

tff(decl_162,type,
    esk83_1: $i > $i ).

tff(decl_163,type,
    esk84_1: $i > $i ).

tff(decl_164,type,
    esk85_1: $i > $i ).

tff(decl_165,type,
    esk86_2: ( $i * $i ) > $i ).

tff(decl_166,type,
    esk87_0: $i ).

tff(decl_167,type,
    esk88_0: $i ).

tff(decl_168,type,
    esk89_0: $i ).

tff(decl_169,type,
    esk90_1: $i > $i ).

tff(decl_170,type,
    esk91_0: $i ).

tff(decl_171,type,
    esk92_0: $i ).

tff(decl_172,type,
    esk93_0: $i ).

tff(decl_173,type,
    esk94_0: $i ).

tff(decl_174,type,
    esk95_1: $i > $i ).

tff(decl_175,type,
    esk96_0: $i ).

tff(decl_176,type,
    esk97_0: $i ).

tff(decl_177,type,
    esk98_0: $i ).

tff(decl_178,type,
    esk99_0: $i ).

tff(decl_179,type,
    esk100_0: $i ).

tff(decl_180,type,
    esk101_1: $i > $i ).

tff(decl_181,type,
    esk102_3: ( $i * $i * $i ) > $i ).

tff(decl_182,type,
    esk103_3: ( $i * $i * $i ) > $i ).

tff(decl_183,type,
    esk104_2: ( $i * $i ) > $i ).

tff(decl_184,type,
    esk105_1: $i > $i ).

tff(decl_185,type,
    esk106_2: ( $i * $i ) > $i ).

tff(decl_186,type,
    esk107_2: ( $i * $i ) > $i ).

tff(decl_187,type,
    esk108_2: ( $i * $i ) > $i ).

tff(decl_188,type,
    esk109_1: $i > $i ).

tff(decl_189,type,
    esk110_1: $i > $i ).

tff(decl_190,type,
    esk111_2: ( $i * $i ) > $i ).

tff(decl_191,type,
    esk112_2: ( $i * $i ) > $i ).

tff(decl_192,type,
    esk113_2: ( $i * $i ) > $i ).

tff(decl_193,type,
    esk114_2: ( $i * $i ) > $i ).

tff(decl_194,type,
    esk115_2: ( $i * $i ) > $i ).

tff(decl_195,type,
    esk116_1: $i > $i ).

tff(decl_196,type,
    esk117_1: $i > $i ).

tff(decl_197,type,
    esk118_0: $i ).

tff(decl_198,type,
    esk119_3: ( $i * $i * $i ) > $i ).

tff(decl_199,type,
    esk120_2: ( $i * $i ) > $i ).

tff(decl_200,type,
    esk121_1: $i > $i ).

tff(decl_201,type,
    esk122_2: ( $i * $i ) > $i ).

fof(d3_wellord1,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2] :
          ( is_well_founded_in(X1,X2)
        <=> ! [X3] :
              ~ ( subset(X3,X2)
                & X3 != empty_set
                & ! [X4] :
                    ~ ( in(X4,X3)
                      & disjoint(fiber(X1,X4),X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_wellord1) ).

fof(d2_wellord1,axiom,
    ! [X1] :
      ( relation(X1)
     => ( well_founded_relation(X1)
      <=> ! [X2] :
            ~ ( subset(X2,relation_field(X1))
              & X2 != empty_set
              & ! [X3] :
                  ~ ( in(X3,X2)
                    & disjoint(fiber(X1,X3),X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_wellord1) ).

fof(t5_wellord1,conjecture,
    ! [X1] :
      ( relation(X1)
     => ( well_founded_relation(X1)
      <=> is_well_founded_in(X1,relation_field(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord1) ).

fof(c_0_3,plain,
    ! [X228,X229,X230,X232,X234] :
      ( ( in(esk45_3(X228,X229,X230),X230)
        | ~ subset(X230,X229)
        | X230 = empty_set
        | ~ is_well_founded_in(X228,X229)
        | ~ relation(X228) )
      & ( disjoint(fiber(X228,esk45_3(X228,X229,X230)),X230)
        | ~ subset(X230,X229)
        | X230 = empty_set
        | ~ is_well_founded_in(X228,X229)
        | ~ relation(X228) )
      & ( subset(esk46_2(X228,X232),X232)
        | is_well_founded_in(X228,X232)
        | ~ relation(X228) )
      & ( esk46_2(X228,X232) != empty_set
        | is_well_founded_in(X228,X232)
        | ~ relation(X228) )
      & ( ~ in(X234,esk46_2(X228,X232))
        | ~ disjoint(fiber(X228,X234),esk46_2(X228,X232))
        | is_well_founded_in(X228,X232)
        | ~ relation(X228) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_wellord1])])])])])]) ).

fof(c_0_4,plain,
    ! [X179,X180,X183] :
      ( ( in(esk32_2(X179,X180),X180)
        | ~ subset(X180,relation_field(X179))
        | X180 = empty_set
        | ~ well_founded_relation(X179)
        | ~ relation(X179) )
      & ( disjoint(fiber(X179,esk32_2(X179,X180)),X180)
        | ~ subset(X180,relation_field(X179))
        | X180 = empty_set
        | ~ well_founded_relation(X179)
        | ~ relation(X179) )
      & ( subset(esk33_1(X179),relation_field(X179))
        | well_founded_relation(X179)
        | ~ relation(X179) )
      & ( esk33_1(X179) != empty_set
        | well_founded_relation(X179)
        | ~ relation(X179) )
      & ( ~ in(X183,esk33_1(X179))
        | ~ disjoint(fiber(X179,X183),esk33_1(X179))
        | well_founded_relation(X179)
        | ~ relation(X179) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_wellord1])])])])]) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1] :
        ( relation(X1)
       => ( well_founded_relation(X1)
        <=> is_well_founded_in(X1,relation_field(X1)) ) ),
    inference(assume_negation,[status(cth)],[t5_wellord1]) ).

cnf(c_0_6,plain,
    ( is_well_founded_in(X2,X3)
    | ~ in(X1,esk46_2(X2,X3))
    | ~ disjoint(fiber(X2,X1),esk46_2(X2,X3))
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,plain,
    ( disjoint(fiber(X1,esk32_2(X1,X2)),X2)
    | X2 = empty_set
    | ~ subset(X2,relation_field(X1))
    | ~ well_founded_relation(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( in(esk32_2(X1,X2),X2)
    | X2 = empty_set
    | ~ subset(X2,relation_field(X1))
    | ~ well_founded_relation(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    ( is_well_founded_in(X1,X2)
    | esk46_2(X1,X2) != empty_set
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_10,negated_conjecture,
    ( relation(esk118_0)
    & ( ~ well_founded_relation(esk118_0)
      | ~ is_well_founded_in(esk118_0,relation_field(esk118_0)) )
    & ( well_founded_relation(esk118_0)
      | is_well_founded_in(esk118_0,relation_field(esk118_0)) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_11,plain,
    ( is_well_founded_in(X1,X2)
    | ~ well_founded_relation(X1)
    | ~ subset(esk46_2(X1,X2),relation_field(X1))
    | ~ relation(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]) ).

cnf(c_0_12,plain,
    ( subset(esk46_2(X1,X2),X2)
    | is_well_founded_in(X1,X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_13,plain,
    ( well_founded_relation(X2)
    | ~ in(X1,esk33_1(X2))
    | ~ disjoint(fiber(X2,X1),esk33_1(X2))
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,plain,
    ( disjoint(fiber(X1,esk45_3(X1,X2,X3)),X3)
    | X3 = empty_set
    | ~ subset(X3,X2)
    | ~ is_well_founded_in(X1,X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_15,plain,
    ( in(esk45_3(X1,X2,X3),X3)
    | X3 = empty_set
    | ~ subset(X3,X2)
    | ~ is_well_founded_in(X1,X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_16,plain,
    ( well_founded_relation(X1)
    | esk33_1(X1) != empty_set
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ well_founded_relation(esk118_0)
    | ~ is_well_founded_in(esk118_0,relation_field(esk118_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( is_well_founded_in(X1,relation_field(X1))
    | ~ well_founded_relation(X1)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    relation(esk118_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,plain,
    ( well_founded_relation(X1)
    | ~ is_well_founded_in(X1,X2)
    | ~ subset(esk33_1(X1),X2)
    | ~ relation(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]) ).

cnf(c_0_21,plain,
    ( subset(esk33_1(X1),relation_field(X1))
    | well_founded_relation(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_22,negated_conjecture,
    ( well_founded_relation(esk118_0)
    | is_well_founded_in(esk118_0,relation_field(esk118_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,negated_conjecture,
    ~ well_founded_relation(esk118_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_24,plain,
    ( well_founded_relation(X1)
    | ~ is_well_founded_in(X1,relation_field(X1))
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    is_well_founded_in(esk118_0,relation_field(esk118_0)),
    inference(sr,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19])]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SEU243+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Aug 24 01:29:24 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 11.84/11.94  % Version  : CSE_E---1.5
% 11.84/11.94  % Problem  : theBenchmark.p
% 11.84/11.94  % Proof found
% 11.84/11.94  % SZS status Theorem for theBenchmark.p
% 11.84/11.94  % SZS output start Proof
% See solution above
% 11.84/11.95  % Total time : 11.354000 s
% 11.84/11.95  % SZS output end Proof
% 11.84/11.95  % Total time : 11.364000 s
%------------------------------------------------------------------------------