TSTP Solution File: SEU244+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU244+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 16:23:45 EDT 2023
% Result : Theorem 0.76s 0.88s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 190
% Syntax : Number of formulae : 247 ( 7 unt; 182 typ; 0 def)
% Number of atoms : 247 ( 0 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 321 ( 139 ~; 139 |; 25 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 331 ( 168 >; 163 *; 0 +; 0 <<)
% Number of predicates : 29 ( 28 usr; 1 prp; 0-2 aty)
% Number of functors : 154 ( 154 usr; 14 con; 0-5 aty)
% Number of variables : 48 ( 0 sgn; 18 !; 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,
well_ordering: $i > $o ).
tff(decl_67,type,
reflexive: $i > $o ).
tff(decl_68,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_69,type,
relation_rng: $i > $i ).
tff(decl_70,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_71,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_72,type,
being_limit_ordinal: $i > $o ).
tff(decl_73,type,
relation_inverse: $i > $i ).
tff(decl_74,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_75,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_76,type,
function_inverse: $i > $i ).
tff(decl_77,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_78,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_79,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
relation_empty_yielding: $i > $o ).
tff(decl_81,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_82,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk20_1: $i > $i ).
tff(decl_102,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_103,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_106,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk26_1: $i > $i ).
tff(decl_108,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk28_1: $i > $i ).
tff(decl_110,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk33_1: $i > $i ).
tff(decl_115,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
esk35_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_117,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_118,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_120,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
esk40_1: $i > $i ).
tff(decl_122,type,
esk41_1: $i > $i ).
tff(decl_123,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_127,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_128,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_129,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_131,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_132,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_133,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_134,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_136,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_137,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_138,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_139,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_141,type,
esk60_3: ( $i * $i * $i ) > $i ).
tff(decl_142,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_144,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_145,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_146,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk67_1: $i > $i ).
tff(decl_149,type,
esk68_1: $i > $i ).
tff(decl_150,type,
esk69_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_151,type,
esk70_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk72_3: ( $i * $i * $i ) > $i ).
tff(decl_154,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_156,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk76_3: ( $i * $i * $i ) > $i ).
tff(decl_158,type,
esk77_1: $i > $i ).
tff(decl_159,type,
esk78_1: $i > $i ).
tff(decl_160,type,
esk79_1: $i > $i ).
tff(decl_161,type,
esk80_1: $i > $i ).
tff(decl_162,type,
esk81_1: $i > $i ).
tff(decl_163,type,
esk82_1: $i > $i ).
tff(decl_164,type,
esk83_1: $i > $i ).
tff(decl_165,type,
esk84_1: $i > $i ).
tff(decl_166,type,
esk85_1: $i > $i ).
tff(decl_167,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk87_0: $i ).
tff(decl_169,type,
esk88_0: $i ).
tff(decl_170,type,
esk89_0: $i ).
tff(decl_171,type,
esk90_1: $i > $i ).
tff(decl_172,type,
esk91_0: $i ).
tff(decl_173,type,
esk92_0: $i ).
tff(decl_174,type,
esk93_0: $i ).
tff(decl_175,type,
esk94_0: $i ).
tff(decl_176,type,
esk95_1: $i > $i ).
tff(decl_177,type,
esk96_0: $i ).
tff(decl_178,type,
esk97_0: $i ).
tff(decl_179,type,
esk98_0: $i ).
tff(decl_180,type,
esk99_0: $i ).
tff(decl_181,type,
esk100_0: $i ).
tff(decl_182,type,
esk101_1: $i > $i ).
tff(decl_183,type,
esk102_3: ( $i * $i * $i ) > $i ).
tff(decl_184,type,
esk103_3: ( $i * $i * $i ) > $i ).
tff(decl_185,type,
esk104_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk105_1: $i > $i ).
tff(decl_187,type,
esk106_2: ( $i * $i ) > $i ).
tff(decl_188,type,
esk107_2: ( $i * $i ) > $i ).
tff(decl_189,type,
esk108_2: ( $i * $i ) > $i ).
tff(decl_190,type,
esk109_1: $i > $i ).
tff(decl_191,type,
esk110_1: $i > $i ).
tff(decl_192,type,
esk111_2: ( $i * $i ) > $i ).
tff(decl_193,type,
esk112_2: ( $i * $i ) > $i ).
tff(decl_194,type,
esk113_2: ( $i * $i ) > $i ).
tff(decl_195,type,
esk114_2: ( $i * $i ) > $i ).
tff(decl_196,type,
esk115_2: ( $i * $i ) > $i ).
tff(decl_197,type,
esk116_1: $i > $i ).
tff(decl_198,type,
esk117_1: $i > $i ).
tff(decl_199,type,
esk118_3: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
esk119_2: ( $i * $i ) > $i ).
tff(decl_201,type,
esk120_0: $i ).
tff(decl_202,type,
esk121_1: $i > $i ).
tff(decl_203,type,
esk122_2: ( $i * $i ) > $i ).
fof(t8_wellord1,conjecture,
! [X1] :
( relation(X1)
=> ( well_orders(X1,relation_field(X1))
<=> well_ordering(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_wellord1) ).
fof(d5_wellord1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( well_orders(X1,X2)
<=> ( is_reflexive_in(X1,X2)
& is_transitive_in(X1,X2)
& is_antisymmetric_in(X1,X2)
& is_connected_in(X1,X2)
& is_well_founded_in(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_wellord1) ).
fof(d9_relat_2,axiom,
! [X1] :
( relation(X1)
=> ( reflexive(X1)
<=> is_reflexive_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_relat_2) ).
fof(t5_wellord1,lemma,
! [X1] :
( relation(X1)
=> ( well_founded_relation(X1)
<=> is_well_founded_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_wellord1) ).
fof(d14_relat_2,axiom,
! [X1] :
( relation(X1)
=> ( connected(X1)
<=> is_connected_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_2) ).
fof(d4_wellord1,axiom,
! [X1] :
( relation(X1)
=> ( well_ordering(X1)
<=> ( reflexive(X1)
& transitive(X1)
& antisymmetric(X1)
& connected(X1)
& well_founded_relation(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
fof(d12_relat_2,axiom,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> is_antisymmetric_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).
fof(d16_relat_2,axiom,
! [X1] :
( relation(X1)
=> ( transitive(X1)
<=> is_transitive_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_relat_2) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( well_orders(X1,relation_field(X1))
<=> well_ordering(X1) ) ),
inference(assume_negation,[status(cth)],[t8_wellord1]) ).
fof(c_0_9,plain,
! [X311,X312] :
( ( is_reflexive_in(X311,X312)
| ~ well_orders(X311,X312)
| ~ relation(X311) )
& ( is_transitive_in(X311,X312)
| ~ well_orders(X311,X312)
| ~ relation(X311) )
& ( is_antisymmetric_in(X311,X312)
| ~ well_orders(X311,X312)
| ~ relation(X311) )
& ( is_connected_in(X311,X312)
| ~ well_orders(X311,X312)
| ~ relation(X311) )
& ( is_well_founded_in(X311,X312)
| ~ well_orders(X311,X312)
| ~ relation(X311) )
& ( ~ is_reflexive_in(X311,X312)
| ~ is_transitive_in(X311,X312)
| ~ is_antisymmetric_in(X311,X312)
| ~ is_connected_in(X311,X312)
| ~ is_well_founded_in(X311,X312)
| well_orders(X311,X312)
| ~ relation(X311) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_wellord1])])])]) ).
fof(c_0_10,negated_conjecture,
( relation(esk120_0)
& ( ~ well_orders(esk120_0,relation_field(esk120_0))
| ~ well_ordering(esk120_0) )
& ( well_orders(esk120_0,relation_field(esk120_0))
| well_ordering(esk120_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
! [X367] :
( ( ~ reflexive(X367)
| is_reflexive_in(X367,relation_field(X367))
| ~ relation(X367) )
& ( ~ is_reflexive_in(X367,relation_field(X367))
| reflexive(X367)
| ~ relation(X367) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_relat_2])])]) ).
fof(c_0_12,lemma,
! [X747] :
( ( ~ well_founded_relation(X747)
| is_well_founded_in(X747,relation_field(X747))
| ~ relation(X747) )
& ( ~ is_well_founded_in(X747,relation_field(X747))
| well_founded_relation(X747)
| ~ relation(X747) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_wellord1])])]) ).
cnf(c_0_13,plain,
( is_well_founded_in(X1,X2)
| ~ well_orders(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( well_orders(esk120_0,relation_field(esk120_0))
| well_ordering(esk120_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
relation(esk120_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,plain,
! [X98] :
( ( ~ connected(X98)
| is_connected_in(X98,relation_field(X98))
| ~ relation(X98) )
& ( ~ is_connected_in(X98,relation_field(X98))
| connected(X98)
| ~ relation(X98) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_relat_2])])]) ).
cnf(c_0_17,plain,
( is_connected_in(X1,X2)
| ~ well_orders(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( reflexive(X1)
| ~ is_reflexive_in(X1,relation_field(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( is_reflexive_in(X1,X2)
| ~ well_orders(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_20,plain,
! [X277] :
( ( reflexive(X277)
| ~ well_ordering(X277)
| ~ relation(X277) )
& ( transitive(X277)
| ~ well_ordering(X277)
| ~ relation(X277) )
& ( antisymmetric(X277)
| ~ well_ordering(X277)
| ~ relation(X277) )
& ( connected(X277)
| ~ well_ordering(X277)
| ~ relation(X277) )
& ( well_founded_relation(X277)
| ~ well_ordering(X277)
| ~ relation(X277) )
& ( ~ reflexive(X277)
| ~ transitive(X277)
| ~ antisymmetric(X277)
| ~ connected(X277)
| ~ well_founded_relation(X277)
| well_ordering(X277)
| ~ relation(X277) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_wellord1])])]) ).
cnf(c_0_21,lemma,
( well_founded_relation(X1)
| ~ is_well_founded_in(X1,relation_field(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
( well_ordering(esk120_0)
| is_well_founded_in(esk120_0,relation_field(esk120_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_23,plain,
( connected(X1)
| ~ is_connected_in(X1,relation_field(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( well_ordering(esk120_0)
| is_connected_in(esk120_0,relation_field(esk120_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_15])]) ).
fof(c_0_25,plain,
! [X65] :
( ( ~ antisymmetric(X65)
| is_antisymmetric_in(X65,relation_field(X65))
| ~ relation(X65) )
& ( ~ is_antisymmetric_in(X65,relation_field(X65))
| antisymmetric(X65)
| ~ relation(X65) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_relat_2])])]) ).
cnf(c_0_26,plain,
( is_antisymmetric_in(X1,X2)
| ~ well_orders(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_27,plain,
! [X99] :
( ( ~ transitive(X99)
| is_transitive_in(X99,relation_field(X99))
| ~ relation(X99) )
& ( ~ is_transitive_in(X99,relation_field(X99))
| transitive(X99)
| ~ relation(X99) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d16_relat_2])])]) ).
cnf(c_0_28,plain,
( is_transitive_in(X1,X2)
| ~ well_orders(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,plain,
( reflexive(X1)
| ~ well_orders(X1,relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_30,plain,
( well_founded_relation(X1)
| ~ well_ordering(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,lemma,
( well_ordering(esk120_0)
| well_founded_relation(esk120_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_15])]) ).
cnf(c_0_32,plain,
( connected(X1)
| ~ well_ordering(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
( well_ordering(esk120_0)
| connected(esk120_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_15])]) ).
cnf(c_0_34,plain,
( antisymmetric(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
( well_ordering(esk120_0)
| is_antisymmetric_in(esk120_0,relation_field(esk120_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_15])]) ).
cnf(c_0_36,plain,
( transitive(X1)
| ~ is_transitive_in(X1,relation_field(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,negated_conjecture,
( well_ordering(esk120_0)
| is_transitive_in(esk120_0,relation_field(esk120_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_14]),c_0_15])]) ).
cnf(c_0_38,plain,
( well_ordering(X1)
| ~ reflexive(X1)
| ~ transitive(X1)
| ~ antisymmetric(X1)
| ~ connected(X1)
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,negated_conjecture,
( reflexive(esk120_0)
| well_ordering(esk120_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_14]),c_0_15])]) ).
cnf(c_0_40,lemma,
well_founded_relation(esk120_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_15])]) ).
cnf(c_0_41,negated_conjecture,
connected(esk120_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_15])]) ).
cnf(c_0_42,negated_conjecture,
( well_ordering(esk120_0)
| antisymmetric(esk120_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_15])]) ).
cnf(c_0_43,negated_conjecture,
( well_ordering(esk120_0)
| transitive(esk120_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_15])]) ).
cnf(c_0_44,negated_conjecture,
( ~ well_orders(esk120_0,relation_field(esk120_0))
| ~ well_ordering(esk120_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_45,negated_conjecture,
well_ordering(esk120_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]),c_0_15])]),c_0_42]),c_0_43]) ).
cnf(c_0_46,plain,
( well_orders(X1,X2)
| ~ is_reflexive_in(X1,X2)
| ~ is_transitive_in(X1,X2)
| ~ is_antisymmetric_in(X1,X2)
| ~ is_connected_in(X1,X2)
| ~ is_well_founded_in(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_47,plain,
( is_reflexive_in(X1,relation_field(X1))
| ~ reflexive(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_48,negated_conjecture,
~ well_orders(esk120_0,relation_field(esk120_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).
cnf(c_0_49,plain,
( well_orders(X1,relation_field(X1))
| ~ reflexive(X1)
| ~ is_well_founded_in(X1,relation_field(X1))
| ~ is_transitive_in(X1,relation_field(X1))
| ~ is_connected_in(X1,relation_field(X1))
| ~ is_antisymmetric_in(X1,relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( ~ reflexive(esk120_0)
| ~ is_well_founded_in(esk120_0,relation_field(esk120_0))
| ~ is_transitive_in(esk120_0,relation_field(esk120_0))
| ~ is_connected_in(esk120_0,relation_field(esk120_0))
| ~ is_antisymmetric_in(esk120_0,relation_field(esk120_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_15])]) ).
cnf(c_0_51,lemma,
( is_well_founded_in(X1,relation_field(X1))
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_52,lemma,
( ~ reflexive(esk120_0)
| ~ is_transitive_in(esk120_0,relation_field(esk120_0))
| ~ is_connected_in(esk120_0,relation_field(esk120_0))
| ~ is_antisymmetric_in(esk120_0,relation_field(esk120_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_40]),c_0_15])]) ).
cnf(c_0_53,plain,
( is_connected_in(X1,relation_field(X1))
| ~ connected(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_54,lemma,
( ~ reflexive(esk120_0)
| ~ is_transitive_in(esk120_0,relation_field(esk120_0))
| ~ is_antisymmetric_in(esk120_0,relation_field(esk120_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_41]),c_0_15])]) ).
cnf(c_0_55,plain,
( is_antisymmetric_in(X1,relation_field(X1))
| ~ antisymmetric(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_56,lemma,
( ~ reflexive(esk120_0)
| ~ is_transitive_in(esk120_0,relation_field(esk120_0))
| ~ antisymmetric(esk120_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_15])]) ).
cnf(c_0_57,plain,
( is_transitive_in(X1,relation_field(X1))
| ~ transitive(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_58,lemma,
( ~ reflexive(esk120_0)
| ~ transitive(esk120_0)
| ~ antisymmetric(esk120_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_15])]) ).
cnf(c_0_59,plain,
( reflexive(X1)
| ~ well_ordering(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_60,lemma,
( ~ transitive(esk120_0)
| ~ antisymmetric(esk120_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_45]),c_0_15])]) ).
cnf(c_0_61,plain,
( transitive(X1)
| ~ well_ordering(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_62,lemma,
~ antisymmetric(esk120_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_45]),c_0_15])]) ).
cnf(c_0_63,plain,
( antisymmetric(X1)
| ~ well_ordering(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_64,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_45]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU244+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Aug 23 20:03:56 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.54 start to proof: theBenchmark
% 0.76/0.88 % Version : CSE_E---1.5
% 0.76/0.88 % Problem : theBenchmark.p
% 0.76/0.88 % Proof found
% 0.76/0.88 % SZS status Theorem for theBenchmark.p
% 0.76/0.88 % SZS output start Proof
% See solution above
% 0.76/0.89 % Total time : 0.319000 s
% 0.76/0.89 % SZS output end Proof
% 0.76/0.89 % Total time : 0.327000 s
%------------------------------------------------------------------------------