TSTP Solution File: SEU267+2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU267+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 : n024.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 16:23:57 EDT 2023
% Result : Theorem 25.65s 26.00s
% Output : CNFRefutation 25.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 211
% Syntax : Number of formulae : 237 ( 16 unt; 205 typ; 0 def)
% Number of atoms : 76 ( 75 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 80 ( 36 ~; 32 |; 6 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 387 ( 190 >; 197 *; 0 +; 0 <<)
% Number of predicates : 34 ( 32 usr; 1 prp; 0-3 aty)
% Number of functors : 173 ( 173 usr; 15 con; 0-5 aty)
% Number of variables : 87 ( 12 sgn; 36 !; 4 ?; 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,
pair_first: $i > $i ).
tff(decl_56,type,
succ: $i > $i ).
tff(decl_57,type,
singleton: $i > $i ).
tff(decl_58,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_59,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_60,type,
empty_set: $i ).
tff(decl_61,type,
set_meet: $i > $i ).
tff(decl_62,type,
fiber: ( $i * $i ) > $i ).
tff(decl_63,type,
pair_second: $i > $i ).
tff(decl_64,type,
well_founded_relation: $i > $o ).
tff(decl_65,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_66,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_67,type,
cast_to_subset: $i > $i ).
tff(decl_68,type,
union: $i > $i ).
tff(decl_69,type,
well_ordering: $i > $o ).
tff(decl_70,type,
reflexive: $i > $o ).
tff(decl_71,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_72,type,
relation_rng: $i > $i ).
tff(decl_73,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_74,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_75,type,
being_limit_ordinal: $i > $o ).
tff(decl_76,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_77,type,
relation_inverse: $i > $i ).
tff(decl_78,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_79,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_80,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_81,type,
function_inverse: $i > $i ).
tff(decl_82,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_85,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_86,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_88,type,
relation_empty_yielding: $i > $o ).
tff(decl_89,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_90,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_91,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_93,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk22_1: $i > $i ).
tff(decl_113,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
esk29_1: $i > $i ).
tff(decl_120,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk33_1: $i > $i ).
tff(decl_124,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_127,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_128,type,
esk38_1: $i > $i ).
tff(decl_129,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_131,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_132,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_133,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_134,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
esk45_1: $i > $i ).
tff(decl_136,type,
esk46_1: $i > $i ).
tff(decl_137,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_138,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_139,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_141,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_142,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_145,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_146,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_149,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk62_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk65_3: ( $i * $i * $i ) > $i ).
tff(decl_156,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_161,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_162,type,
esk72_3: ( $i * $i * $i ) > $i ).
tff(decl_163,type,
esk73_3: ( $i * $i * $i ) > $i ).
tff(decl_164,type,
esk74_1: $i > $i ).
tff(decl_165,type,
esk75_1: $i > $i ).
tff(decl_166,type,
esk76_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
esk77_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_170,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_171,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk83_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk84_2: ( $i * $i ) > $i ).
tff(decl_175,type,
esk85_1: $i > $i ).
tff(decl_176,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk87_1: $i > $i ).
tff(decl_178,type,
esk88_1: $i > $i ).
tff(decl_179,type,
esk89_1: $i > $i ).
tff(decl_180,type,
esk90_1: $i > $i ).
tff(decl_181,type,
esk91_1: $i > $i ).
tff(decl_182,type,
esk92_1: $i > $i ).
tff(decl_183,type,
esk93_1: $i > $i ).
tff(decl_184,type,
esk94_1: $i > $i ).
tff(decl_185,type,
esk95_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk96_0: $i ).
tff(decl_187,type,
esk97_0: $i ).
tff(decl_188,type,
esk98_0: $i ).
tff(decl_189,type,
esk99_1: $i > $i ).
tff(decl_190,type,
esk100_0: $i ).
tff(decl_191,type,
esk101_0: $i ).
tff(decl_192,type,
esk102_0: $i ).
tff(decl_193,type,
esk103_0: $i ).
tff(decl_194,type,
esk104_1: $i > $i ).
tff(decl_195,type,
esk105_0: $i ).
tff(decl_196,type,
esk106_0: $i ).
tff(decl_197,type,
esk107_0: $i ).
tff(decl_198,type,
esk108_0: $i ).
tff(decl_199,type,
esk109_0: $i ).
tff(decl_200,type,
esk110_1: $i > $i ).
tff(decl_201,type,
esk111_3: ( $i * $i * $i ) > $i ).
tff(decl_202,type,
esk112_3: ( $i * $i * $i ) > $i ).
tff(decl_203,type,
esk113_3: ( $i * $i * $i ) > $i ).
tff(decl_204,type,
esk114_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_205,type,
esk115_3: ( $i * $i * $i ) > $i ).
tff(decl_206,type,
esk116_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_207,type,
esk117_2: ( $i * $i ) > $i ).
tff(decl_208,type,
esk118_1: $i > $i ).
tff(decl_209,type,
esk119_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk120_2: ( $i * $i ) > $i ).
tff(decl_211,type,
esk121_2: ( $i * $i ) > $i ).
tff(decl_212,type,
esk122_1: $i > $i ).
tff(decl_213,type,
esk123_1: $i > $i ).
tff(decl_214,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_215,type,
esk125_2: ( $i * $i ) > $i ).
tff(decl_216,type,
esk126_2: ( $i * $i ) > $i ).
tff(decl_217,type,
esk127_2: ( $i * $i ) > $i ).
tff(decl_218,type,
esk128_2: ( $i * $i ) > $i ).
tff(decl_219,type,
esk129_1: $i > $i ).
tff(decl_220,type,
esk130_1: $i > $i ).
tff(decl_221,type,
esk131_3: ( $i * $i * $i ) > $i ).
tff(decl_222,type,
esk132_0: $i ).
tff(decl_223,type,
esk133_0: $i ).
tff(decl_224,type,
esk134_2: ( $i * $i ) > $i ).
tff(decl_225,type,
esk135_1: $i > $i ).
tff(decl_226,type,
esk136_2: ( $i * $i ) > $i ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(t69_enumset1,lemma,
! [X1] : unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(d2_mcart_1,axiom,
! [X1] :
( ? [X2,X3] : X1 = ordered_pair(X2,X3)
=> ! [X2] :
( X2 = pair_second(X1)
<=> ! [X3,X4] :
( X1 = ordered_pair(X3,X4)
=> X2 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_mcart_1) ).
fof(t7_mcart_1,conjecture,
! [X1,X2] :
( pair_first(ordered_pair(X1,X2)) = X1
& pair_second(ordered_pair(X1,X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_mcart_1) ).
fof(d1_mcart_1,axiom,
! [X1] :
( ? [X2,X3] : X1 = ordered_pair(X2,X3)
=> ! [X2] :
( X2 = pair_first(X1)
<=> ! [X3,X4] :
( X1 = ordered_pair(X3,X4)
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_mcart_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(c_0_6,plain,
! [X341,X342] : ordered_pair(X341,X342) = unordered_pair(unordered_pair(X341,X342),singleton(X341)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_7,lemma,
! [X899] : unordered_pair(X899,X899) = singleton(X899),
inference(variable_rename,[status(thm)],[t69_enumset1]) ).
fof(c_0_8,plain,
! [X179,X180,X181,X182,X183,X184,X185] :
( ( X182 != pair_second(X179)
| X179 != ordered_pair(X183,X184)
| X182 = X184
| X179 != ordered_pair(X180,X181) )
& ( X179 = ordered_pair(esk31_2(X179,X185),esk32_2(X179,X185))
| X185 = pair_second(X179)
| X179 != ordered_pair(X180,X181) )
& ( X185 != esk32_2(X179,X185)
| X185 = pair_second(X179)
| X179 != ordered_pair(X180,X181) ) ),
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)],[d2_mcart_1])])])])])]) ).
cnf(c_0_9,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,lemma,
unordered_pair(X1,X1) = singleton(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X2] :
( pair_first(ordered_pair(X1,X2)) = X1
& pair_second(ordered_pair(X1,X2)) = X2 ),
inference(assume_negation,[status(cth)],[t7_mcart_1]) ).
cnf(c_0_12,plain,
( X1 = X4
| X1 != pair_second(X2)
| X2 != ordered_pair(X3,X4)
| X2 != ordered_pair(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_14,plain,
! [X114,X115,X116,X117,X118,X119,X120] :
( ( X117 != pair_first(X114)
| X114 != ordered_pair(X118,X119)
| X117 = X118
| X114 != ordered_pair(X115,X116) )
& ( X114 = ordered_pair(esk18_2(X114,X120),esk19_2(X114,X120))
| X120 = pair_first(X114)
| X114 != ordered_pair(X115,X116) )
& ( X120 != esk18_2(X114,X120)
| X120 = pair_first(X114)
| X114 != ordered_pair(X115,X116) ) ),
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)],[d1_mcart_1])])])])])]) ).
fof(c_0_15,negated_conjecture,
( pair_first(ordered_pair(esk132_0,esk133_0)) != esk132_0
| pair_second(ordered_pair(esk132_0,esk133_0)) != esk133_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_16,plain,
( X1 = X4
| X1 != pair_second(X2)
| X2 != unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))
| X2 != unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).
cnf(c_0_17,plain,
( X1 = X3
| X1 != pair_first(X2)
| X2 != ordered_pair(X3,X4)
| X2 != ordered_pair(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( pair_first(ordered_pair(esk132_0,esk133_0)) != esk132_0
| pair_second(ordered_pair(esk132_0,esk133_0)) != esk133_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X20,X21] : unordered_pair(X20,X21) = unordered_pair(X21,X20),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_20,plain,
( pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))) = X3
| unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)) != unordered_pair(unordered_pair(X4,X3),unordered_pair(X4,X4)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])]) ).
cnf(c_0_21,plain,
( X1 = X3
| X1 != pair_first(X2)
| X2 != unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))
| X2 != unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13]),c_0_13]) ).
cnf(c_0_22,negated_conjecture,
( pair_first(unordered_pair(unordered_pair(esk132_0,esk133_0),unordered_pair(esk132_0,esk132_0))) != esk132_0
| pair_second(unordered_pair(unordered_pair(esk132_0,esk133_0),unordered_pair(esk132_0,esk132_0))) != esk133_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13]),c_0_13]) ).
cnf(c_0_23,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
pair_second(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))) = X2,
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))) = X3
| unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)) != unordered_pair(unordered_pair(X3,X4),unordered_pair(X3,X3)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])]) ).
cnf(c_0_26,negated_conjecture,
( pair_first(unordered_pair(unordered_pair(esk132_0,esk132_0),unordered_pair(esk132_0,esk133_0))) != esk132_0
| pair_second(unordered_pair(unordered_pair(esk132_0,esk132_0),unordered_pair(esk132_0,esk133_0))) != esk133_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_27,plain,
pair_second(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X2))) = X2,
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_28,plain,
pair_first(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))) = X1,
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_29,negated_conjecture,
pair_first(unordered_pair(unordered_pair(esk132_0,esk132_0),unordered_pair(esk132_0,esk133_0))) != esk132_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_30,plain,
pair_first(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU267+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 18:56:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 25.65/26.00 % Version : CSE_E---1.5
% 25.65/26.00 % Problem : theBenchmark.p
% 25.65/26.00 % Proof found
% 25.65/26.00 % SZS status Theorem for theBenchmark.p
% 25.65/26.00 % SZS output start Proof
% See solution above
% 25.65/26.01 % Total time : 25.403000 s
% 25.65/26.01 % SZS output end Proof
% 25.65/26.01 % Total time : 25.415000 s
%------------------------------------------------------------------------------