TSTP Solution File: SEU264+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU264+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 : n011.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 16:23:56 EDT 2023
% Result : Theorem 0.99s 1.06s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 199
% Syntax : Number of formulae : 215 ( 6 unt; 195 typ; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 17 ~; 13 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 357 ( 178 >; 179 *; 0 +; 0 <<)
% Number of predicates : 33 ( 32 usr; 1 prp; 0-3 aty)
% Number of functors : 163 ( 163 usr; 17 con; 0-5 aty)
% Number of variables : 40 ( 2 sgn; 28 !; 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,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_31,type,
powerset: $i > $i ).
tff(decl_32,type,
element: ( $i * $i ) > $o ).
tff(decl_33,type,
one_to_one: $i > $o ).
tff(decl_34,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_35,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_36,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_37,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_38,type,
identity_relation: $i > $i ).
tff(decl_39,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_40,type,
subset: ( $i * $i ) > $o ).
tff(decl_41,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_42,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_43,type,
relation_dom: $i > $i ).
tff(decl_44,type,
apply: ( $i * $i ) > $i ).
tff(decl_45,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_46,type,
antisymmetric: $i > $o ).
tff(decl_47,type,
relation_field: $i > $i ).
tff(decl_48,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_49,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_50,type,
connected: $i > $o ).
tff(decl_51,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_52,type,
transitive: $i > $o ).
tff(decl_53,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_54,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
succ: $i > $i ).
tff(decl_56,type,
singleton: $i > $i ).
tff(decl_57,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_58,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_59,type,
empty_set: $i ).
tff(decl_60,type,
set_meet: $i > $i ).
tff(decl_61,type,
fiber: ( $i * $i ) > $i ).
tff(decl_62,type,
well_founded_relation: $i > $o ).
tff(decl_63,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_64,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_65,type,
cast_to_subset: $i > $i ).
tff(decl_66,type,
union: $i > $i ).
tff(decl_67,type,
well_ordering: $i > $o ).
tff(decl_68,type,
reflexive: $i > $o ).
tff(decl_69,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_70,type,
relation_rng: $i > $i ).
tff(decl_71,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_72,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_73,type,
being_limit_ordinal: $i > $o ).
tff(decl_74,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_75,type,
relation_inverse: $i > $i ).
tff(decl_76,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_78,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_79,type,
function_inverse: $i > $i ).
tff(decl_80,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_81,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_82,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_84,type,
relation_empty_yielding: $i > $o ).
tff(decl_85,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_86,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_87,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_106,type,
esk20_1: $i > $i ).
tff(decl_107,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
esk27_1: $i > $i ).
tff(decl_114,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_115,type,
esk29_1: $i > $i ).
tff(decl_116,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk34_1: $i > $i ).
tff(decl_121,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_123,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_125,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_126,type,
esk40_3: ( $i * $i * $i ) > $i ).
tff(decl_127,type,
esk41_1: $i > $i ).
tff(decl_128,type,
esk42_1: $i > $i ).
tff(decl_129,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_130,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_131,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_132,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_133,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_134,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_136,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_137,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_138,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_139,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_141,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_142,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_145,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_146,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_155,type,
esk69_3: ( $i * $i * $i ) > $i ).
tff(decl_156,type,
esk70_1: $i > $i ).
tff(decl_157,type,
esk71_1: $i > $i ).
tff(decl_158,type,
esk72_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_159,type,
esk73_3: ( $i * $i * $i ) > $i ).
tff(decl_160,type,
esk74_3: ( $i * $i * $i ) > $i ).
tff(decl_161,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_162,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk81_1: $i > $i ).
tff(decl_168,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_169,type,
esk83_1: $i > $i ).
tff(decl_170,type,
esk84_1: $i > $i ).
tff(decl_171,type,
esk85_1: $i > $i ).
tff(decl_172,type,
esk86_1: $i > $i ).
tff(decl_173,type,
esk87_1: $i > $i ).
tff(decl_174,type,
esk88_1: $i > $i ).
tff(decl_175,type,
esk89_1: $i > $i ).
tff(decl_176,type,
esk90_1: $i > $i ).
tff(decl_177,type,
esk91_2: ( $i * $i ) > $i ).
tff(decl_178,type,
esk92_0: $i ).
tff(decl_179,type,
esk93_0: $i ).
tff(decl_180,type,
esk94_0: $i ).
tff(decl_181,type,
esk95_1: $i > $i ).
tff(decl_182,type,
esk96_0: $i ).
tff(decl_183,type,
esk97_0: $i ).
tff(decl_184,type,
esk98_0: $i ).
tff(decl_185,type,
esk99_0: $i ).
tff(decl_186,type,
esk100_1: $i > $i ).
tff(decl_187,type,
esk101_0: $i ).
tff(decl_188,type,
esk102_0: $i ).
tff(decl_189,type,
esk103_0: $i ).
tff(decl_190,type,
esk104_0: $i ).
tff(decl_191,type,
esk105_0: $i ).
tff(decl_192,type,
esk106_1: $i > $i ).
tff(decl_193,type,
esk107_3: ( $i * $i * $i ) > $i ).
tff(decl_194,type,
esk108_3: ( $i * $i * $i ) > $i ).
tff(decl_195,type,
esk109_0: $i ).
tff(decl_196,type,
esk110_0: $i ).
tff(decl_197,type,
esk111_0: $i ).
tff(decl_198,type,
esk112_0: $i ).
tff(decl_199,type,
esk113_2: ( $i * $i ) > $i ).
tff(decl_200,type,
esk114_1: $i > $i ).
tff(decl_201,type,
esk115_2: ( $i * $i ) > $i ).
tff(decl_202,type,
esk116_2: ( $i * $i ) > $i ).
tff(decl_203,type,
esk117_2: ( $i * $i ) > $i ).
tff(decl_204,type,
esk118_1: $i > $i ).
tff(decl_205,type,
esk119_1: $i > $i ).
tff(decl_206,type,
esk120_2: ( $i * $i ) > $i ).
tff(decl_207,type,
esk121_2: ( $i * $i ) > $i ).
tff(decl_208,type,
esk122_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk123_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_211,type,
esk125_1: $i > $i ).
tff(decl_212,type,
esk126_1: $i > $i ).
tff(decl_213,type,
esk127_3: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
esk128_2: ( $i * $i ) > $i ).
tff(decl_215,type,
esk129_1: $i > $i ).
tff(decl_216,type,
esk130_2: ( $i * $i ) > $i ).
fof(t16_relset_1,conjecture,
! [X1,X2,X3,X4] :
( relation_of2_as_subset(X4,X3,X1)
=> ( subset(X1,X2)
=> relation_of2_as_subset(X4,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(t14_relset_1,lemma,
! [X1,X2,X3,X4] :
( relation_of2_as_subset(X4,X3,X1)
=> ( subset(relation_rng(X4),X2)
=> relation_of2_as_subset(X4,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(t1_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(t12_relset_1,lemma,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( subset(relation_dom(X3),X1)
& subset(relation_rng(X3),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( relation_of2_as_subset(X4,X3,X1)
=> ( subset(X1,X2)
=> relation_of2_as_subset(X4,X3,X2) ) ),
inference(assume_negation,[status(cth)],[t16_relset_1]) ).
fof(c_0_5,lemma,
! [X618,X619,X620,X621] :
( ~ relation_of2_as_subset(X621,X620,X618)
| ~ subset(relation_rng(X621),X619)
| relation_of2_as_subset(X621,X620,X619) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t14_relset_1])]) ).
fof(c_0_6,negated_conjecture,
( relation_of2_as_subset(esk112_0,esk111_0,esk109_0)
& subset(esk109_0,esk110_0)
& ~ relation_of2_as_subset(esk112_0,esk111_0,esk110_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,lemma,
( relation_of2_as_subset(X1,X2,X4)
| ~ relation_of2_as_subset(X1,X2,X3)
| ~ subset(relation_rng(X1),X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation_of2_as_subset(esk112_0,esk111_0,esk109_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,lemma,
! [X658,X659,X660] :
( ~ subset(X658,X659)
| ~ subset(X659,X660)
| subset(X658,X660) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
fof(c_0_10,lemma,
! [X588,X589,X590] :
( ( subset(relation_dom(X590),X588)
| ~ relation_of2_as_subset(X590,X588,X589) )
& ( subset(relation_rng(X590),X589)
| ~ relation_of2_as_subset(X590,X588,X589) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_relset_1])])]) ).
cnf(c_0_11,negated_conjecture,
~ relation_of2_as_subset(esk112_0,esk111_0,esk110_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( relation_of2_as_subset(esk112_0,esk111_0,X1)
| ~ subset(relation_rng(esk112_0),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,lemma,
( subset(X1,X3)
| ~ subset(X1,X2)
| ~ subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
subset(esk109_0,esk110_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,lemma,
( subset(relation_rng(X1),X2)
| ~ relation_of2_as_subset(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
~ subset(relation_rng(esk112_0),esk110_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( subset(X1,esk110_0)
| ~ subset(X1,esk109_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
subset(relation_rng(esk112_0),esk109_0),
inference(spm,[status(thm)],[c_0_15,c_0_8]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU264+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n011.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 01:35:37 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.20/0.53 start to proof: theBenchmark
% 0.99/1.06 % Version : CSE_E---1.5
% 0.99/1.06 % Problem : theBenchmark.p
% 0.99/1.06 % Proof found
% 0.99/1.06 % SZS status Theorem for theBenchmark.p
% 0.99/1.06 % SZS output start Proof
% See solution above
% 0.99/1.07 % Total time : 0.517000 s
% 0.99/1.07 % SZS output end Proof
% 0.99/1.07 % Total time : 0.527000 s
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