TSTP Solution File: SWW473+7 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW473+7 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 00:18:03 EDT 2023
% Result : Theorem 2.38s 2.46s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 285
% Syntax : Number of formulae : 295 ( 9 unt; 280 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 8 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 624 ( 253 >; 371 *; 0 +; 0 <<)
% Number of predicates : 62 ( 61 usr; 1 prp; 0-1 aty)
% Number of functors : 219 ( 219 usr; 27 con; 0-10 aty)
% Number of variables : 27 ( 0 sgn; 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
fun: ( $i * $i ) > $i ).
tff(decl_23,type,
combb: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
ti: ( $i * $i ) > $i ).
tff(decl_25,type,
combc: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
combi: $i > $i ).
tff(decl_27,type,
combk: ( $i * $i ) > $i ).
tff(decl_28,type,
combs: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
pname: $i ).
tff(decl_30,type,
com: $i ).
tff(decl_31,type,
option: $i > $i ).
tff(decl_32,type,
body: $i ).
tff(decl_33,type,
bool: $i ).
tff(decl_34,type,
nat: $i ).
tff(decl_35,type,
finite_card: $i > $i ).
tff(decl_36,type,
finite_comp_fun_idem: ( $i * $i ) > $i ).
tff(decl_37,type,
finite_finite: $i > $i ).
tff(decl_38,type,
finite_fold_image: ( $i * $i ) > $i ).
tff(decl_39,type,
finite1357897459simple: ( $i * $i ) > $i ).
tff(decl_40,type,
finite908156982e_idem: ( $i * $i ) > $i ).
tff(decl_41,type,
finite_folding_one: $i > $i ).
tff(decl_42,type,
finite2073411215e_idem: $i > $i ).
tff(decl_43,type,
ordere142940540dd_abs: $i > $o ).
tff(decl_44,type,
abs_abs: $i > $i ).
tff(decl_45,type,
minus: $i > $o ).
tff(decl_46,type,
minus_minus: $i > $i ).
tff(decl_47,type,
one: $i > $o ).
tff(decl_48,type,
one_one: $i > $i ).
tff(decl_49,type,
monoid_add: $i > $o ).
tff(decl_50,type,
plus_plus: $i > $i ).
tff(decl_51,type,
cancel_semigroup_add: $i > $o ).
tff(decl_52,type,
ab_semigroup_add: $i > $o ).
tff(decl_53,type,
ab_semigroup_mult: $i > $o ).
tff(decl_54,type,
times_times: $i > $i ).
tff(decl_55,type,
monoid_mult: $i > $o ).
tff(decl_56,type,
semiring: $i > $o ).
tff(decl_57,type,
no_zero_divisors: $i > $o ).
tff(decl_58,type,
mult_zero: $i > $o ).
tff(decl_59,type,
zero: $i > $o ).
tff(decl_60,type,
zero_zero: $i > $i ).
tff(decl_61,type,
the: $i > $i ).
tff(decl_62,type,
undefined: $i > $i ).
tff(decl_63,type,
if: $i > $i ).
tff(decl_64,type,
int: $i ).
tff(decl_65,type,
bit1: $i ).
tff(decl_66,type,
pls: $i ).
tff(decl_67,type,
number: $i > $o ).
tff(decl_68,type,
number_number_of: $i > $i ).
tff(decl_69,type,
ring_1: $i > $o ).
tff(decl_70,type,
ring_1_Ints: $i > $i ).
tff(decl_71,type,
succ: $i ).
tff(decl_72,type,
suc: $i ).
tff(decl_73,type,
nat_case: $i > $i ).
tff(decl_74,type,
semiring_1: $i > $o ).
tff(decl_75,type,
semiring_1_of_nat: $i > $i ).
tff(decl_76,type,
semiri532925092at_aux: $i > $i ).
tff(decl_77,type,
nat_neg: $i ).
tff(decl_78,type,
nat_tsub: $i ).
tff(decl_79,type,
the_1: $i > $i ).
tff(decl_80,type,
bot: $i > $o ).
tff(decl_81,type,
bot_bot: $i > $i ).
tff(decl_82,type,
ord: $i > $o ).
tff(decl_83,type,
ord_less: $i > $i ).
tff(decl_84,type,
ord_less_eq: $i > $i ).
tff(decl_85,type,
partial_flat_lub: $i > $i ).
tff(decl_86,type,
collect: $i > $i ).
tff(decl_87,type,
image: ( $i * $i ) > $i ).
tff(decl_88,type,
insert: $i > $i ).
tff(decl_89,type,
the_elem: $i > $i ).
tff(decl_90,type,
sum_sum: ( $i * $i ) > $i ).
tff(decl_91,type,
sum_Plus: ( $i * $i ) > $i ).
tff(decl_92,type,
fFalse: $i ).
tff(decl_93,type,
fNot: $i ).
tff(decl_94,type,
fTrue: $i ).
tff(decl_95,type,
fconj: $i ).
tff(decl_96,type,
fdisj: $i ).
tff(decl_97,type,
fequal: $i > $i ).
tff(decl_98,type,
fimplies: $i ).
tff(decl_99,type,
hAPP: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
hBOOL: $i > $o ).
tff(decl_101,type,
member: $i > $i ).
tff(decl_102,type,
x_a: $i ).
tff(decl_103,type,
g: $i ).
tff(decl_104,type,
p: $i ).
tff(decl_105,type,
u: $i ).
tff(decl_106,type,
mgt: $i ).
tff(decl_107,type,
mgt_call: $i ).
tff(decl_108,type,
na: $i ).
tff(decl_109,type,
pn: $i ).
tff(decl_110,type,
wt: $i ).
tff(decl_111,type,
finite_finite_1: $i > $o ).
tff(decl_112,type,
order: $i > $o ).
tff(decl_113,type,
preorder: $i > $o ).
tff(decl_114,type,
linorder: $i > $o ).
tff(decl_115,type,
ordered_ab_group_add: $i > $o ).
tff(decl_116,type,
ab_group_add: $i > $o ).
tff(decl_117,type,
cancel146912293up_add: $i > $o ).
tff(decl_118,type,
ordere236663937imp_le: $i > $o ).
tff(decl_119,type,
ordere779506340up_add: $i > $o ).
tff(decl_120,type,
group_add: $i > $o ).
tff(decl_121,type,
ordere223160158up_add: $i > $o ).
tff(decl_122,type,
linordered_semidom: $i > $o ).
tff(decl_123,type,
linordered_idom: $i > $o ).
tff(decl_124,type,
dense_linorder: $i > $o ).
tff(decl_125,type,
zero_neq_one: $i > $o ).
tff(decl_126,type,
comm_monoid_add: $i > $o ).
tff(decl_127,type,
linord219039673up_add: $i > $o ).
tff(decl_128,type,
ordere216010020id_add: $i > $o ).
tff(decl_129,type,
comm_semiring_1: $i > $o ).
tff(decl_130,type,
semiri456707255roduct: $i > $o ).
tff(decl_131,type,
linordered_field: $i > $o ).
tff(decl_132,type,
linord626643107strict: $i > $o ).
tff(decl_133,type,
ring_n68954251visors: $i > $o ).
tff(decl_134,type,
ab_sem1668676832m_mult: $i > $o ).
tff(decl_135,type,
comm_semiring: $i > $o ).
tff(decl_136,type,
comm_monoid_mult: $i > $o ).
tff(decl_137,type,
number_ring: $i > $o ).
tff(decl_138,type,
ring_char_0: $i > $o ).
tff(decl_139,type,
ring: $i > $o ).
tff(decl_140,type,
ordere453448008miring: $i > $o ).
tff(decl_141,type,
ordered_ring: $i > $o ).
tff(decl_142,type,
ordered_semiring: $i > $o ).
tff(decl_143,type,
ordere1490568538miring: $i > $o ).
tff(decl_144,type,
linord581940658strict: $i > $o ).
tff(decl_145,type,
linordered_ring: $i > $o ).
tff(decl_146,type,
linord20386208strict: $i > $o ).
tff(decl_147,type,
linord893533164strict: $i > $o ).
tff(decl_148,type,
linordered_semiring: $i > $o ).
tff(decl_149,type,
linord1278240602ring_1: $i > $o ).
tff(decl_150,type,
linord1117847801e_zero: $i > $o ).
tff(decl_151,type,
number_semiring: $i > $o ).
tff(decl_152,type,
semiring_char_0: $i > $o ).
tff(decl_153,type,
ordered_ring_abs: $i > $o ).
tff(decl_154,type,
esk1_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_155,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_156,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_157,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_158,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_160,type,
esk7_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_161,type,
esk8_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_162,type,
esk9_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_163,type,
esk10_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_164,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_165,type,
esk12_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_166,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
esk14_1: $i > $i ).
tff(decl_168,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_169,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_171,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk21_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_175,type,
esk22_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_176,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_178,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_180,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_181,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_184,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_185,type,
esk32_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_186,type,
esk33_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_187,type,
esk34_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_188,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_190,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_191,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_192,type,
esk39_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_193,type,
esk40_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_194,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_195,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_196,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_197,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_198,type,
esk45_1: $i > $i ).
tff(decl_199,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_200,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_201,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_202,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_203,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_204,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_205,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_206,type,
esk53_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_207,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_208,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_211,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_212,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_213,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_214,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_215,type,
esk62_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_216,type,
esk63_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_217,type,
esk64_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_218,type,
esk65_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_219,type,
esk66_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_220,type,
esk67_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_221,type,
esk68_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_222,type,
esk69_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_223,type,
esk70_3: ( $i * $i * $i ) > $i ).
tff(decl_224,type,
esk71_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_225,type,
esk72_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_226,type,
esk73_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_227,type,
esk74_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_228,type,
esk75_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_229,type,
esk76_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_230,type,
esk77_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_231,type,
esk78_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_232,type,
esk79_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_233,type,
esk80_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_234,type,
esk81_3: ( $i * $i * $i ) > $i ).
tff(decl_235,type,
esk82_1: $i > $i ).
tff(decl_236,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_237,type,
esk84_3: ( $i * $i * $i ) > $i ).
tff(decl_238,type,
esk85_3: ( $i * $i * $i ) > $i ).
tff(decl_239,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_240,type,
esk87_3: ( $i * $i * $i ) > $i ).
tff(decl_241,type,
esk88_3: ( $i * $i * $i ) > $i ).
tff(decl_242,type,
esk89_2: ( $i * $i ) > $i ).
tff(decl_243,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_244,type,
esk91_2: ( $i * $i ) > $i ).
tff(decl_245,type,
esk92_1: $i > $i ).
tff(decl_246,type,
esk93_3: ( $i * $i * $i ) > $i ).
tff(decl_247,type,
esk94_3: ( $i * $i * $i ) > $i ).
tff(decl_248,type,
esk95_1: $i > $i ).
tff(decl_249,type,
esk96_1: $i > $i ).
tff(decl_250,type,
esk97_1: $i > $i ).
tff(decl_251,type,
esk98_2: ( $i * $i ) > $i ).
tff(decl_252,type,
esk99_3: ( $i * $i * $i ) > $i ).
tff(decl_253,type,
esk100_3: ( $i * $i * $i ) > $i ).
tff(decl_254,type,
esk101_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_255,type,
esk102_3: ( $i * $i * $i ) > $i ).
tff(decl_256,type,
esk103_3: ( $i * $i * $i ) > $i ).
tff(decl_257,type,
esk104_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_258,type,
esk105_3: ( $i * $i * $i ) > $i ).
tff(decl_259,type,
esk106_3: ( $i * $i * $i ) > $i ).
tff(decl_260,type,
esk107_2: ( $i * $i ) > $i ).
tff(decl_261,type,
esk108_3: ( $i * $i * $i ) > $i ).
tff(decl_262,type,
esk109_3: ( $i * $i * $i ) > $i ).
tff(decl_263,type,
esk110_2: ( $i * $i ) > $i ).
tff(decl_264,type,
esk111_2: ( $i * $i ) > $i ).
tff(decl_265,type,
esk112_2: ( $i * $i ) > $i ).
tff(decl_266,type,
esk113_2: ( $i * $i ) > $i ).
tff(decl_267,type,
esk114_3: ( $i * $i * $i ) > $i ).
tff(decl_268,type,
esk115_3: ( $i * $i * $i ) > $i ).
tff(decl_269,type,
esk116_3: ( $i * $i * $i ) > $i ).
tff(decl_270,type,
esk117_3: ( $i * $i * $i ) > $i ).
tff(decl_271,type,
esk118_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_272,type,
esk119_3: ( $i * $i * $i ) > $i ).
tff(decl_273,type,
esk120_3: ( $i * $i * $i ) > $i ).
tff(decl_274,type,
esk121_3: ( $i * $i * $i ) > $i ).
tff(decl_275,type,
esk122_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_276,type,
esk123_3: ( $i * $i * $i ) > $i ).
tff(decl_277,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_278,type,
esk125_1: $i > $i ).
tff(decl_279,type,
esk126_1: $i > $i ).
tff(decl_280,type,
esk127_1: $i > $i ).
tff(decl_281,type,
esk128_1: $i > $i ).
tff(decl_282,type,
esk129_2: ( $i * $i ) > $i ).
tff(decl_283,type,
esk130_1: $i > $i ).
tff(decl_284,type,
esk131_1: $i > $i ).
tff(decl_285,type,
esk132_1: $i > $i ).
tff(decl_286,type,
esk133_1: $i > $i ).
tff(decl_287,type,
esk134_1: $i > $i ).
tff(decl_288,type,
esk135_1: $i > $i ).
tff(decl_289,type,
esk136_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_290,type,
esk137_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_291,type,
esk138_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_292,type,
esk139_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_293,type,
esk140_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_294,type,
esk141_10: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_295,type,
esk142_10: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_296,type,
esk143_3: ( $i * $i * $i ) > $i ).
tff(decl_297,type,
esk144_3: ( $i * $i * $i ) > $i ).
tff(decl_298,type,
esk145_3: ( $i * $i * $i ) > $i ).
tff(decl_299,type,
esk146_3: ( $i * $i * $i ) > $i ).
tff(decl_300,type,
esk147_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_301,type,
esk148_4: ( $i * $i * $i * $i ) > $i ).
fof(conj_6,conjecture,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(fact_103_insert__subset,axiom,
! [X1,X14,X8,X13] :
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X14),X8)),X13))
<=> ( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X14),X13))
& hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X8),X13)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_insert__subset) ).
fof(conj_1,hypothesis,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(fact_94_imageI,axiom,
! [X2,X1,X12,X14,X8] :
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X14),X8))
=> hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),hAPP(X1,X2,X12,X14)),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X12),X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_imageI) ).
fof(conj_4,hypothesis,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(c_0_5,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_6])]) ).
fof(c_0_6,plain,
! [X530,X531,X532,X533] :
( ( hBOOL(hAPP(fun(X530,bool),bool,hAPP(X530,fun(fun(X530,bool),bool),member(X530),X531),X533))
| ~ hBOOL(hAPP(fun(X530,bool),bool,hAPP(fun(X530,bool),fun(fun(X530,bool),bool),ord_less_eq(fun(X530,bool)),hAPP(fun(X530,bool),fun(X530,bool),hAPP(X530,fun(fun(X530,bool),fun(X530,bool)),insert(X530),X531),X532)),X533)) )
& ( hBOOL(hAPP(fun(X530,bool),bool,hAPP(fun(X530,bool),fun(fun(X530,bool),bool),ord_less_eq(fun(X530,bool)),X532),X533))
| ~ hBOOL(hAPP(fun(X530,bool),bool,hAPP(fun(X530,bool),fun(fun(X530,bool),bool),ord_less_eq(fun(X530,bool)),hAPP(fun(X530,bool),fun(X530,bool),hAPP(X530,fun(fun(X530,bool),fun(X530,bool)),insert(X530),X531),X532)),X533)) )
& ( ~ hBOOL(hAPP(fun(X530,bool),bool,hAPP(X530,fun(fun(X530,bool),bool),member(X530),X531),X533))
| ~ hBOOL(hAPP(fun(X530,bool),bool,hAPP(fun(X530,bool),fun(fun(X530,bool),bool),ord_less_eq(fun(X530,bool)),X532),X533))
| hBOOL(hAPP(fun(X530,bool),bool,hAPP(fun(X530,bool),fun(fun(X530,bool),bool),ord_less_eq(fun(X530,bool)),hAPP(fun(X530,bool),fun(X530,bool),hAPP(X530,fun(fun(X530,bool),fun(X530,bool)),insert(X530),X531),X532)),X533)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_insert__subset])])]) ).
cnf(c_0_7,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,hypothesis,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_10,plain,
! [X487,X488,X489,X490,X491] :
( ~ hBOOL(hAPP(fun(X488,bool),bool,hAPP(X488,fun(fun(X488,bool),bool),member(X488),X490),X491))
| hBOOL(hAPP(fun(X487,bool),bool,hAPP(X487,fun(fun(X487,bool),bool),member(X487),hAPP(X488,X487,X489,X490)),hAPP(fun(X488,bool),fun(X487,bool),hAPP(fun(X488,X487),fun(fun(X488,bool),fun(X487,bool)),image(X488,X487),X489),X491))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_94_imageI])]) ).
cnf(c_0_11,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP(fun(X4,bool),bool,hAPP(X4,fun(fun(X4,bool),bool),member(X4),hAPP(X1,X4,X5,X2)),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X3)))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,hypothesis,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW473+7 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 22:23:01 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 2.38/2.46 % Version : CSE_E---1.5
% 2.38/2.46 % Problem : theBenchmark.p
% 2.38/2.46 % Proof found
% 2.38/2.46 % SZS status Theorem for theBenchmark.p
% 2.38/2.46 % SZS output start Proof
% See solution above
% 2.41/2.47 % Total time : 1.823000 s
% 2.41/2.47 % SZS output end Proof
% 2.41/2.47 % Total time : 1.892000 s
%------------------------------------------------------------------------------