TSTP Solution File: ITP189^1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ITP189^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n004.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 : Mon Jun 24 09:36:38 EDT 2024
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 25 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 256 ( 17 ~; 9 |; 0 &; 224 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 32 ( 31 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 158 ( 155 usr; 13 con; 0-5 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
name: $tType ).
thf(type_def_6,type,
pi: $tType ).
thf(type_def_8,type,
late_freeRes: $tType ).
thf(type_def_9,type,
late_subject: $tType ).
thf(type_def_10,type,
late_residual: $tType ).
thf(type_def_11,type,
noption_name: $tType ).
thf(type_def_12,type,
noption_pi: $tType ).
thf(type_def_13,type,
noption_Late_freeRes: $tType ).
thf(type_def_14,type,
noption_Late_subject: $tType ).
thf(type_def_15,type,
produc1462499409ion_pi: $tType ).
thf(type_def_16,type,
produc405342261i_name: $tType ).
thf(type_def_17,type,
produc629157763_pi_pi: $tType ).
thf(type_def_18,type,
produc1834551554reeRes: $tType ).
thf(type_def_19,type,
produc691362330ubject: $tType ).
thf(type_def_20,type,
produc2008547984reeRes: $tType ).
thf(type_def_21,type,
produc865358760ubject: $tType ).
thf(type_def_22,type,
product_prod_pi_pi: $tType ).
thf(type_def_23,type,
produc2052722628s_name: $tType ).
thf(type_def_24,type,
produc992857746Res_pi: $tType ).
thf(type_def_25,type,
produc1357834675reeRes: $tType ).
thf(type_def_26,type,
produc214645451ubject: $tType ).
thf(type_def_27,type,
produc1998742700t_name: $tType ).
thf(type_def_28,type,
produc140253050ect_pi: $tType ).
thf(type_def_29,type,
produc355105483reeRes: $tType ).
thf(type_def_30,type,
produc1359399907ubject: $tType ).
thf(type_def_31,type,
set_Pr1569510577ion_pi: $tType ).
thf(type_def_32,type,
set_Pr1294453099i_name: $tType ).
thf(type_def_33,type,
set_Pr1694908217_pi_pi: $tType ).
thf(type_def_34,type,
set_Pr305743074reeRes: $tType ).
thf(type_def_35,type,
set_Pr248416762ubject: $tType ).
thf(type_def_36,type,
set_Pr1834926343_pi_pi: $tType ).
thf(func_def_0,type,
set_Pr1569510577ion_pi: $tType ).
thf(func_def_1,type,
produc1462499409ion_pi: $tType ).
thf(func_def_2,type,
set_Pr248416762ubject: $tType ).
thf(func_def_3,type,
set_Pr305743074reeRes: $tType ).
thf(func_def_4,type,
set_Pr1294453099i_name: $tType ).
thf(func_def_5,type,
produc691362330ubject: $tType ).
thf(func_def_6,type,
produc1834551554reeRes: $tType ).
thf(func_def_7,type,
set_Pr1694908217_pi_pi: $tType ).
thf(func_def_8,type,
produc405342261i_name: $tType ).
thf(func_def_9,type,
produc629157763_pi_pi: $tType ).
thf(func_def_10,type,
produc1359399907ubject: $tType ).
thf(func_def_11,type,
produc355105483reeRes: $tType ).
thf(func_def_12,type,
produc214645451ubject: $tType ).
thf(func_def_13,type,
produc1357834675reeRes: $tType ).
thf(func_def_14,type,
produc1998742700t_name: $tType ).
thf(func_def_15,type,
produc2052722628s_name: $tType ).
thf(func_def_16,type,
produc865358760ubject: $tType ).
thf(func_def_17,type,
produc2008547984reeRes: $tType ).
thf(func_def_18,type,
produc140253050ect_pi: $tType ).
thf(func_def_19,type,
produc992857746Res_pi: $tType ).
thf(func_def_20,type,
set_Pr1834926343_pi_pi: $tType ).
thf(func_def_21,type,
product_prod_pi_pi: $tType ).
thf(func_def_22,type,
noption_Late_subject: $tType ).
thf(func_def_23,type,
noption_Late_freeRes: $tType ).
thf(func_def_24,type,
noption_name: $tType ).
thf(func_def_25,type,
noption_pi: $tType ).
thf(func_def_26,type,
late_residual: $tType ).
thf(func_def_27,type,
late_subject: $tType ).
thf(func_def_28,type,
late_freeRes: $tType ).
thf(func_def_29,type,
name: $tType ).
thf(func_def_30,type,
pi: $tType ).
thf(func_def_31,type,
input: name > name > pi > pi ).
thf(func_def_32,type,
output: name > name > pi > pi ).
thf(func_def_33,type,
par: pi > pi > pi ).
thf(func_def_34,type,
piNil: pi ).
thf(func_def_35,type,
res: name > pi > pi ).
thf(func_def_36,type,
sum: pi > pi > pi ).
thf(func_def_37,type,
tau: pi > pi ).
thf(func_def_38,type,
subs: pi > name > name > pi ).
thf(func_def_39,type,
subst_name: name > name > name > name ).
thf(func_def_40,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_41,type,
late_TauR: late_freeRes ).
thf(func_def_42,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_43,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_44,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_45,type,
late_InputS: name > late_subject ).
thf(func_def_46,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_47,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_48,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_49,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_50,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(func_def_51,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_52,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_53,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_54,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(func_def_55,type,
fresh_name_name: name > name > $o ).
thf(func_def_56,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_57,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_58,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_59,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_60,type,
fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
thf(func_def_61,type,
fresh_453496559i_name: name > produc405342261i_name > $o ).
thf(func_def_62,type,
fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
thf(func_def_63,type,
fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
thf(func_def_64,type,
fresh_567880928ubject: name > produc691362330ubject > $o ).
thf(func_def_65,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(func_def_66,type,
fresh_820177506ubject: name > produc865358760ubject > $o ).
thf(func_def_67,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(func_def_68,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(func_def_69,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(func_def_70,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(func_def_71,type,
fresh_1498103185ubject: name > produc214645451ubject > $o ).
thf(func_def_72,type,
fresh_1953561446t_name: name > produc1998742700t_name > $o ).
thf(func_def_73,type,
fresh_994896692ect_pi: name > produc140253050ect_pi > $o ).
thf(func_def_74,type,
fresh_1638563217reeRes: name > produc355105483reeRes > $o ).
thf(func_def_75,type,
fresh_495373993ubject: name > produc1359399907ubject > $o ).
thf(func_def_76,type,
ord_le1032043601ion_pi: set_Pr1569510577ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_77,type,
ord_le2082425291i_name: set_Pr1294453099i_name > set_Pr1294453099i_name > $o ).
thf(func_def_78,type,
ord_le1854926745_pi_pi: set_Pr1694908217_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_79,type,
ord_le1762471042reeRes: set_Pr305743074reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_80,type,
ord_le1705144730ubject: set_Pr248416762ubject > set_Pr248416762ubject > $o ).
thf(func_def_81,type,
ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_82,type,
produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
thf(func_def_83,type,
produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
thf(func_def_84,type,
produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
thf(func_def_85,type,
produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
thf(func_def_86,type,
produc581368530ubject: ( name > noption_pi ) > late_subject > produc691362330ubject ).
thf(func_def_87,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
thf(func_def_88,type,
produc607574050ubject: name > late_subject > produc865358760ubject ).
thf(func_def_89,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(func_def_90,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(func_def_91,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(func_def_92,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(func_def_93,type,
produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).
thf(func_def_94,type,
produc1647375838t_name: late_subject > name > produc1998742700t_name ).
thf(func_def_95,type,
produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).
thf(func_def_96,type,
produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).
thf(func_def_97,type,
produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).
thf(func_def_98,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(func_def_99,type,
id_name_noption_pi: set_Pr1569510577ion_pi ).
thf(func_def_100,type,
id_pi: set_Pr1834926343_pi_pi ).
thf(func_def_101,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(func_def_102,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_103,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_104,type,
member1632198138ion_pi: produc1462499409ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_105,type,
member1353687244i_name: produc405342261i_name > set_Pr1294453099i_name > $o ).
thf(func_def_106,type,
member772629402_pi_pi: produc629157763_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_107,type,
member2081207979reeRes: produc1834551554reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_108,type,
member938018755ubject: produc691362330ubject > set_Pr248416762ubject > $o ).
thf(func_def_109,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_110,type,
p: pi ).
thf(func_def_111,type,
p2: pi ).
thf(func_def_112,type,
pxQ: pi ).
thf(func_def_113,type,
q: pi ).
thf(func_def_114,type,
rel: set_Pr1834926343_pi_pi ).
thf(func_def_115,type,
alpha: late_freeRes ).
thf(func_def_116,type,
x: name ).
thf(func_def_134,type,
sP0: pi > pi > late_subject > name > pi > $o ).
thf(func_def_135,type,
sK1: pi > name ).
thf(func_def_136,type,
sK2: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_137,type,
sK3: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_138,type,
sK4: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_139,type,
sK5: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_140,type,
sK6: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_141,type,
sK7: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_142,type,
sK8: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_143,type,
sK9: ( pi > $o ) > pi > pi > late_subject > name > pi ).
thf(func_def_144,type,
sK10: ( pi > $o ) > pi > pi > late_subject > name > pi ).
thf(func_def_145,type,
sK11: pi > pi > late_subject > name > pi > name ).
thf(func_def_146,type,
sK12: pi > pi > late_subject > name > pi > pi ).
thf(func_def_147,type,
sK13: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_148,type,
sK14: pi > pi > late_subject > name > pi > pi ).
thf(func_def_149,type,
sK15: pi > pi > late_subject > name > pi > pi ).
thf(func_def_150,type,
sK16: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_151,type,
sK17: pi > pi > late_subject > name > pi > name ).
thf(func_def_152,type,
sK18: pi > pi > late_subject > name > pi > pi ).
thf(func_def_153,type,
sK19: pi > pi > late_subject > name > pi > pi ).
thf(func_def_154,type,
sK20: pi > pi > late_subject > name > pi > pi ).
thf(func_def_155,type,
sK21: late_subject > name ).
thf(func_def_156,type,
sK22: late_freeRes > pi > name > pi > late_freeRes ).
thf(func_def_157,type,
sK23: late_freeRes > pi > name > pi > pi ).
thf(func_def_158,type,
sK24: late_freeRes > pi > name > pi > pi ).
thf(func_def_159,type,
sK25: late_freeRes > pi > name > pi > name ).
thf(func_def_160,type,
sK26: ( pi > late_residual > $o ) > pi ).
thf(func_def_161,type,
sK27: ( pi > late_residual > $o ) > pi ).
thf(func_def_162,type,
sK28: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_163,type,
sK29: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_164,type,
sK30: ( pi > late_residual > $o ) > name ).
thf(func_def_165,type,
sK31: ( pi > late_residual > $o ) > pi ).
thf(func_def_166,type,
sK32: ( pi > late_residual > $o ) > pi ).
thf(func_def_167,type,
sK33: late_freeRes > name ).
thf(func_def_168,type,
sK34: ( pi > late_residual > $o ) > pi ).
thf(func_def_169,type,
sK35: ( pi > late_residual > $o ) > pi ).
thf(func_def_170,type,
sK36: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_171,type,
sK37: ( pi > late_residual > $o ) > name ).
thf(func_def_172,type,
sK38: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_173,type,
sK39: ( pi > late_residual > $o ) > pi ).
thf(func_def_174,type,
sK40: ( pi > late_residual > $o ) > pi ).
thf(func_def_175,type,
sK41: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_176,type,
sK42: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_177,type,
sK43: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_178,type,
sK44: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_179,type,
sK45: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_180,type,
sK46: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_181,type,
sK47: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_182,type,
sK48: ( late_subject > late_residual > $o ) > name ).
thf(func_def_183,type,
sK49: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_184,type,
sK50: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_185,type,
sK51: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_186,type,
sK52: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_187,type,
sK53: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_188,type,
sK54: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_189,type,
sK55: ( late_residual > $o ) > late_subject ).
thf(func_def_190,type,
sK56: ( late_residual > $o ) > name ).
thf(func_def_191,type,
sK57: ( late_residual > $o ) > pi ).
thf(func_def_192,type,
sK58: ( late_residual > $o ) > pi ).
thf(func_def_193,type,
sK59: ( late_residual > $o ) > late_freeRes ).
thf(func_def_194,type,
sK60: late_freeRes > pi > ( pi > $o ) > name > pi ).
thf(func_def_195,type,
sK61: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_196,type,
sK62: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_197,type,
sK63: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_198,type,
sK64: ( late_subject > late_residual > $o ) > name ).
thf(func_def_199,type,
sK65: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_200,type,
sK66: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_201,type,
sK67: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_203,type,
ph69:
!>[X0: $tType] : X0 ).
thf(f1028,plain,
$false,
inference(subsumption_resolution,[],[f1027,f1012]) ).
thf(f1012,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
= $true ),
inference(cnf_transformation,[],[f699]) ).
thf(f699,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
= $true ),
inference(fool_elimination,[],[f698]) ).
thf(f698,plain,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062) ).
thf(f1027,plain,
( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
!= $true ),
inference(subsumption_resolution,[],[f1026,f994]) ).
thf(f994,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(cnf_transformation,[],[f567]) ).
thf(f567,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(fool_elimination,[],[f566]) ).
thf(f566,plain,
fresh_1641682979reeRes @ x @ alpha,
inference(rectify,[],[f1]) ).
thf(f1,axiom,
fresh_1641682979reeRes @ x @ alpha,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062x_A_092_060sharp_062_A_092_060alpha_062_092_060close_062) ).
thf(f1026,plain,
( ( ( fresh_1641682979reeRes @ x @ alpha )
!= $true )
| ( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1025]) ).
thf(f1025,plain,
( ( ( late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ) )
!= $true )
| ( $true != $true )
| ( ( fresh_1641682979reeRes @ x @ alpha )
!= $true ) ),
inference(superposition,[],[f1001,f949]) ).
thf(f949,plain,
! [X2: pi,X3: pi,X0: name,X1: late_freeRes] :
( ( $true
= ( late_transitions @ ( res @ X0 @ X2 ) @ ( late_FreeR @ X1 @ ( res @ X0 @ X3 ) ) ) )
| ( $true
!= ( fresh_1641682979reeRes @ X0 @ X1 ) )
| ( $true
!= ( late_transitions @ X2 @ ( late_FreeR @ X1 @ X3 ) ) ) ),
inference(cnf_transformation,[],[f863]) ).
thf(f863,plain,
! [X0: name,X1: late_freeRes,X2: pi,X3: pi] :
( ( $true
!= ( fresh_1641682979reeRes @ X0 @ X1 ) )
| ( $true
= ( late_transitions @ ( res @ X0 @ X2 ) @ ( late_FreeR @ X1 @ ( res @ X0 @ X3 ) ) ) )
| ( $true
!= ( late_transitions @ X2 @ ( late_FreeR @ X1 @ X3 ) ) ) ),
inference(flattening,[],[f862]) ).
thf(f862,plain,
! [X0: name,X1: late_freeRes,X2: pi,X3: pi] :
( ( $true
= ( late_transitions @ ( res @ X0 @ X2 ) @ ( late_FreeR @ X1 @ ( res @ X0 @ X3 ) ) ) )
| ( $true
!= ( fresh_1641682979reeRes @ X0 @ X1 ) )
| ( $true
!= ( late_transitions @ X2 @ ( late_FreeR @ X1 @ X3 ) ) ) ),
inference(ennf_transformation,[],[f687]) ).
thf(f687,plain,
! [X0: name,X1: late_freeRes,X2: pi,X3: pi] :
( ( $true
= ( late_transitions @ X2 @ ( late_FreeR @ X1 @ X3 ) ) )
=> ( ( $true
= ( fresh_1641682979reeRes @ X0 @ X1 ) )
=> ( $true
= ( late_transitions @ ( res @ X0 @ X2 ) @ ( late_FreeR @ X1 @ ( res @ X0 @ X3 ) ) ) ) ) ),
inference(fool_elimination,[],[f686]) ).
thf(f686,plain,
! [X0: name,X1: late_freeRes,X2: pi,X3: pi] :
( ( late_transitions @ X2 @ ( late_FreeR @ X1 @ X3 ) )
=> ( ( fresh_1641682979reeRes @ X0 @ X1 )
=> ( late_transitions @ ( res @ X0 @ X2 ) @ ( late_FreeR @ X1 @ ( res @ X0 @ X3 ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f12,axiom,
! [X16: name,X1: late_freeRes,X0: pi,X2: pi] :
( ( late_transitions @ X0 @ ( late_FreeR @ X1 @ X2 ) )
=> ( ( fresh_1641682979reeRes @ X16 @ X1 )
=> ( late_transitions @ ( res @ X16 @ X0 ) @ ( late_FreeR @ X1 @ ( res @ X16 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_ResF) ).
thf(f1001,plain,
( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f836]) ).
thf(f836,plain,
( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) )
!= $true ),
inference(flattening,[],[f711]) ).
thf(f711,plain,
( ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) )
!= $true ),
inference(fool_elimination,[],[f710]) ).
thf(f710,plain,
~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ),
inference(rectify,[],[f318]) ).
thf(f318,negated_conjecture,
~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ),
inference(negated_conjecture,[],[f317]) ).
thf(f317,conjecture,
late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP189^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n004.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 Jun 19 01:44:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 Running higher-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.22/0.40 % (3827)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.40 % (3828)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (3826)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.40 % (3825)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40 % (3830)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.40 % (3829)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (3831)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.41 % (3828)Instruction limit reached!
% 0.22/0.41 % (3828)------------------------------
% 0.22/0.41 % (3828)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (3828)Termination reason: Unknown
% 0.22/0.41 % (3828)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (3828)Memory used [KB]: 1407
% 0.22/0.41 % (3828)Time elapsed: 0.003 s
% 0.22/0.41 % (3828)Instructions burned: 2 (million)
% 0.22/0.41 % (3828)------------------------------
% 0.22/0.41 % (3828)------------------------------
% 0.22/0.41 % (3829)Instruction limit reached!
% 0.22/0.41 % (3829)------------------------------
% 0.22/0.41 % (3829)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (3829)Termination reason: Unknown
% 0.22/0.41 % (3829)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (3829)Memory used [KB]: 1535
% 0.22/0.41 % (3829)Time elapsed: 0.004 s
% 0.22/0.41 % (3829)Instructions burned: 3 (million)
% 0.22/0.41 % (3829)------------------------------
% 0.22/0.41 % (3829)------------------------------
% 0.22/0.41 % (3826)Instruction limit reached!
% 0.22/0.41 % (3826)------------------------------
% 0.22/0.41 % (3826)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (3826)Termination reason: Unknown
% 0.22/0.41 % (3826)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (3826)Memory used [KB]: 1535
% 0.22/0.41 % (3826)Time elapsed: 0.005 s
% 0.22/0.41 % (3826)Instructions burned: 5 (million)
% 0.22/0.41 % (3826)------------------------------
% 0.22/0.41 % (3826)------------------------------
% 0.22/0.41 % (3831)Instruction limit reached!
% 0.22/0.41 % (3831)------------------------------
% 0.22/0.41 % (3831)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (3831)Termination reason: Unknown
% 0.22/0.41 % (3831)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (3831)Memory used [KB]: 1918
% 0.22/0.41 % (3831)Time elapsed: 0.012 s
% 0.22/0.41 % (3831)Instructions burned: 18 (million)
% 0.22/0.41 % (3831)------------------------------
% 0.22/0.41 % (3831)------------------------------
% 0.22/0.42 % (3827)Instruction limit reached!
% 0.22/0.42 % (3827)------------------------------
% 0.22/0.42 % (3827)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (3827)Termination reason: Unknown
% 0.22/0.42 % (3827)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (3827)Memory used [KB]: 2046
% 0.22/0.42 % (3827)Time elapsed: 0.017 s
% 0.22/0.42 % (3827)Instructions burned: 27 (million)
% 0.22/0.42 % (3827)------------------------------
% 0.22/0.42 % (3827)------------------------------
% 0.22/0.42 % (3832)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % (3833)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.42 % (3834)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.42 % (3832)Instruction limit reached!
% 0.22/0.42 % (3832)------------------------------
% 0.22/0.42 % (3832)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (3832)Termination reason: Unknown
% 0.22/0.42 % (3832)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (3832)Memory used [KB]: 1535
% 0.22/0.42 % (3832)Time elapsed: 0.004 s
% 0.22/0.42 % (3832)Instructions burned: 4 (million)
% 0.22/0.42 % (3832)------------------------------
% 0.22/0.42 % (3832)------------------------------
% 0.22/0.43 % (3835)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (3834)Instruction limit reached!
% 0.22/0.43 % (3834)------------------------------
% 0.22/0.43 % (3834)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (3834)Termination reason: Unknown
% 0.22/0.43 % (3834)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (3834)Memory used [KB]: 1791
% 0.22/0.43 % (3834)Time elapsed: 0.010 s
% 0.22/0.43 % (3834)Instructions burned: 15 (million)
% 0.22/0.43 % (3834)------------------------------
% 0.22/0.43 % (3834)------------------------------
% 0.22/0.43 % (3835)Instruction limit reached!
% 0.22/0.43 % (3835)------------------------------
% 0.22/0.43 % (3835)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (3835)Termination reason: Unknown
% 0.22/0.43 % (3835)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (3835)Memory used [KB]: 1535
% 0.22/0.43 % (3835)Time elapsed: 0.004 s
% 0.22/0.43 % (3835)Instructions burned: 4 (million)
% 0.22/0.43 % (3835)------------------------------
% 0.22/0.43 % (3835)------------------------------
% 0.22/0.43 % (3836)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.44 % (3837)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (3833)Instruction limit reached!
% 0.22/0.44 % (3833)------------------------------
% 0.22/0.44 % (3833)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (3833)Termination reason: Unknown
% 0.22/0.44 % (3833)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (3833)Memory used [KB]: 2302
% 0.22/0.44 % (3833)Time elapsed: 0.021 s
% 0.22/0.44 % (3833)Instructions burned: 38 (million)
% 0.22/0.44 % (3833)------------------------------
% 0.22/0.44 % (3833)------------------------------
% 0.22/0.44 % (3837)Instruction limit reached!
% 0.22/0.44 % (3837)------------------------------
% 0.22/0.44 % (3837)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (3837)Termination reason: Unknown
% 0.22/0.44 % (3837)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (3837)Memory used [KB]: 1663
% 0.22/0.44 % (3837)Time elapsed: 0.006 s
% 0.22/0.44 % (3837)Instructions burned: 8 (million)
% 0.22/0.44 % (3837)------------------------------
% 0.22/0.44 % (3837)------------------------------
% 0.22/0.44 % (3830)First to succeed.
% 0.22/0.45 % (3830)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (3830)------------------------------
% 0.22/0.45 % (3830)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (3830)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (3830)Memory used [KB]: 7036
% 0.22/0.45 % (3830)Time elapsed: 0.042 s
% 0.22/0.45 % (3830)Instructions burned: 74 (million)
% 0.22/0.45 % (3830)------------------------------
% 0.22/0.45 % (3830)------------------------------
% 0.22/0.45 % (3824)Success in time 0.075 s
%------------------------------------------------------------------------------