%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP183^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:42 AM UTC 2026
% Result : Theorem 0.60s 0.42s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 98 ( 28 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 244 ( 19 ~; 11 |; 0 &; 208 @)
% ( 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 : 143 ( 140 usr; 13 con; 0-5 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1569510577ion_pi: $tType ).
thf(type_def_6,type,
produc1462499409ion_pi: $tType ).
thf(type_def_7,type,
set_Pr248416762ubject: $tType ).
thf(type_def_8,type,
set_Pr305743074reeRes: $tType ).
thf(type_def_9,type,
set_Pr1294453099i_name: $tType ).
thf(type_def_10,type,
produc691362330ubject: $tType ).
thf(type_def_11,type,
produc1834551554reeRes: $tType ).
thf(type_def_12,type,
set_Pr1694908217_pi_pi: $tType ).
thf(type_def_13,type,
produc405342261i_name: $tType ).
thf(type_def_14,type,
produc629157763_pi_pi: $tType ).
thf(type_def_15,type,
produc1359399907ubject: $tType ).
thf(type_def_16,type,
produc355105483reeRes: $tType ).
thf(type_def_17,type,
produc214645451ubject: $tType ).
thf(type_def_18,type,
produc1357834675reeRes: $tType ).
thf(type_def_19,type,
produc1998742700t_name: $tType ).
thf(type_def_20,type,
produc2052722628s_name: $tType ).
thf(type_def_21,type,
produc865358760ubject: $tType ).
thf(type_def_22,type,
produc2008547984reeRes: $tType ).
thf(type_def_23,type,
produc140253050ect_pi: $tType ).
thf(type_def_24,type,
produc992857746Res_pi: $tType ).
thf(type_def_25,type,
set_Pr1834926343_pi_pi: $tType ).
thf(type_def_26,type,
product_prod_pi_pi: $tType ).
thf(type_def_27,type,
noption_Late_subject: $tType ).
thf(type_def_28,type,
noption_Late_freeRes: $tType ).
thf(type_def_29,type,
noption_name: $tType ).
thf(type_def_30,type,
noption_pi: $tType ).
thf(type_def_31,type,
late_residual: $tType ).
thf(type_def_32,type,
late_subject: $tType ).
thf(type_def_33,type,
late_freeRes: $tType ).
thf(type_def_34,type,
name: $tType ).
thf(type_def_35,type,
pi: $tType ).
thf(type_def_36,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
input: name > name > pi > pi ).
thf(func_def_1,type,
mismatch: name > name > pi > pi ).
thf(func_def_2,type,
output: name > name > pi > pi ).
thf(func_def_3,type,
par: pi > pi > pi ).
thf(func_def_4,type,
piNil: pi ).
thf(func_def_5,type,
res: name > pi > pi ).
thf(func_def_6,type,
sum: pi > pi > pi ).
thf(func_def_7,type,
tau: pi > pi ).
thf(func_def_8,type,
subs: pi > name > name > pi ).
thf(func_def_9,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_10,type,
late_TauR: late_freeRes ).
thf(func_def_11,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_12,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_13,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_14,type,
late_InputS: name > late_subject ).
thf(func_def_15,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_16,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_17,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_18,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_19,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(func_def_20,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_21,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_22,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_23,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(func_def_24,type,
fresh_name_name: name > name > $o ).
thf(func_def_25,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_26,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_27,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_28,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_29,type,
fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
thf(func_def_30,type,
fresh_453496559i_name: name > produc405342261i_name > $o ).
thf(func_def_31,type,
fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
thf(func_def_32,type,
fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
thf(func_def_33,type,
fresh_567880928ubject: name > produc691362330ubject > $o ).
thf(func_def_34,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(func_def_35,type,
fresh_820177506ubject: name > produc865358760ubject > $o ).
thf(func_def_36,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(func_def_37,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(func_def_38,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(func_def_39,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(func_def_40,type,
fresh_1498103185ubject: name > produc214645451ubject > $o ).
thf(func_def_41,type,
fresh_1953561446t_name: name > produc1998742700t_name > $o ).
thf(func_def_42,type,
fresh_994896692ect_pi: name > produc140253050ect_pi > $o ).
thf(func_def_43,type,
fresh_1638563217reeRes: name > produc355105483reeRes > $o ).
thf(func_def_44,type,
fresh_495373993ubject: name > produc1359399907ubject > $o ).
thf(func_def_45,type,
ord_le1032043601ion_pi: set_Pr1569510577ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_46,type,
ord_le2082425291i_name: set_Pr1294453099i_name > set_Pr1294453099i_name > $o ).
thf(func_def_47,type,
ord_le1854926745_pi_pi: set_Pr1694908217_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_48,type,
ord_le1762471042reeRes: set_Pr305743074reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_49,type,
ord_le1705144730ubject: set_Pr248416762ubject > set_Pr248416762ubject > $o ).
thf(func_def_50,type,
ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_51,type,
produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
thf(func_def_52,type,
produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
thf(func_def_53,type,
produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
thf(func_def_54,type,
produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
thf(func_def_55,type,
produc581368530ubject: ( name > noption_pi ) > late_subject > produc691362330ubject ).
thf(func_def_56,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
thf(func_def_57,type,
produc607574050ubject: name > late_subject > produc865358760ubject ).
thf(func_def_58,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(func_def_59,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(func_def_60,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(func_def_61,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(func_def_62,type,
produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).
thf(func_def_63,type,
produc1647375838t_name: late_subject > name > produc1998742700t_name ).
thf(func_def_64,type,
produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).
thf(func_def_65,type,
produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).
thf(func_def_66,type,
produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).
thf(func_def_67,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(func_def_68,type,
id_name_noption_pi: set_Pr1569510577ion_pi ).
thf(func_def_69,type,
id_pi: set_Pr1834926343_pi_pi ).
thf(func_def_70,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(func_def_71,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_72,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_73,type,
member1632198138ion_pi: produc1462499409ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_74,type,
member1353687244i_name: produc405342261i_name > set_Pr1294453099i_name > $o ).
thf(func_def_75,type,
member772629402_pi_pi: produc629157763_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_76,type,
member2081207979reeRes: produc1834551554reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_77,type,
member938018755ubject: produc691362330ubject > set_Pr248416762ubject > $o ).
thf(func_def_78,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_79,type,
p: pi ).
thf(func_def_80,type,
pq: pi ).
thf(func_def_81,type,
q: pi ).
thf(func_def_82,type,
q2: pi ).
thf(func_def_83,type,
rel: set_Pr1834926343_pi_pi ).
thf(func_def_84,type,
alpha: late_freeRes ).
thf(func_def_85,type,
x: name ).
thf(func_def_89,type,
vAND: $o > $o > $o ).
thf(func_def_90,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_91,type,
vOR: $o > $o > $o ).
thf(func_def_92,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_93,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_94,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_95,type,
vIMP: $o > $o > $o ).
thf(func_def_96,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_97,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_98,type,
vNOT: $o > $o ).
thf(func_def_99,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_101,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_102,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_103,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_104,type,
sK0: ( pi > late_residual > $o ) > name ).
thf(func_def_105,type,
sK1: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_106,type,
sK2: ( pi > late_residual > $o ) > pi ).
thf(func_def_107,type,
sK3: ( pi > late_residual > $o ) > pi ).
thf(func_def_108,type,
sK4: ( pi > late_residual > $o ) > pi ).
thf(func_def_109,type,
sK5: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_110,type,
sK6: ( pi > late_residual > $o ) > pi ).
thf(func_def_111,type,
sK7: ( late_residual > $o ) > late_freeRes ).
thf(func_def_112,type,
sK8: ( late_residual > $o ) > pi ).
thf(func_def_113,type,
sK9: ( late_residual > $o ) > pi ).
thf(func_def_114,type,
sK10: ( late_residual > $o ) > name ).
thf(func_def_115,type,
sK11: ( late_residual > $o ) > late_subject ).
thf(func_def_116,type,
sK12: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_117,type,
sK13: ( late_subject > late_residual > $o ) > name ).
thf(func_def_118,type,
sK14: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_119,type,
sK15: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_120,type,
sK16: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_121,type,
sK17: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_122,type,
sK18: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_123,type,
sK19: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_124,type,
sK20: ( pi > late_residual > $o ) > pi ).
thf(func_def_125,type,
sK21: ( pi > late_residual > $o ) > name ).
thf(func_def_126,type,
sK22: ( pi > late_residual > $o ) > pi ).
thf(func_def_127,type,
sK23: ( pi > late_residual > $o ) > pi ).
thf(func_def_128,type,
sK24: ( pi > late_residual > $o ) > pi ).
thf(func_def_129,type,
sK25: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_130,type,
sK26: ( pi > $o ) > late_freeRes > pi > name > pi ).
thf(func_def_131,type,
sK27: name > pi > late_freeRes > pi > late_freeRes ).
thf(func_def_132,type,
sK28: name > pi > late_freeRes > pi > pi ).
thf(func_def_133,type,
sK29: name > pi > late_freeRes > pi > pi ).
thf(func_def_134,type,
sK30: name > pi > late_freeRes > pi > name ).
thf(func_def_135,type,
sK31: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_136,type,
sK32: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_137,type,
sK33: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_138,type,
sK34: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_139,type,
sK35: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_140,type,
sK36: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_141,type,
sK37: ( late_subject > late_residual > $o ) > name ).
thf(f1,axiom,
fresh_1641682979reeRes @ x @ alpha,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_cRes_Ohyps_I2_J) ).
thf(f3,axiom,
late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062P_A_092_060oplus_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AQ_H_092_060close_062) ).
thf(f14,axiom,
! [X2: pi,X0: pi,X1: late_freeRes,X3: name] :
( ( late_transitions @ X0 @ ( late_FreeR @ X1 @ X2 ) )
=> ( ( fresh_1641682979reeRes @ X3 @ X1 )
=> ( late_transitions @ ( res @ X3 @ X0 ) @ ( late_FreeR @ X1 @ ( res @ X3 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_ResF) ).
thf(f314,conjecture,
late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f315,negated_conjecture,
~ ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) ),
inference(negated_conjecture,[status(cth)],[f314]) ).
thf(f332,plain,
~ ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) ),
inference(rectify,[],[f315]) ).
thf(f333,plain,
( ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) )
!= $true ),
inference(fool_elimination,[],[f332]) ).
thf(f483,plain,
fresh_1641682979reeRes @ x @ alpha,
inference(rectify,[],[f1]) ).
thf(f484,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(fool_elimination,[],[f483]) ).
thf(f485,plain,
late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ),
inference(rectify,[],[f3]) ).
thf(f486,plain,
( ( late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ) )
= $true ),
inference(fool_elimination,[],[f485]) ).
thf(f804,plain,
! [X0: pi,X1: pi,X2: late_freeRes,X3: name] :
( ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X0 ) )
=> ( ( fresh_1641682979reeRes @ X3 @ X2 )
=> ( late_transitions @ ( res @ X3 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X3 @ X0 ) ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f805,plain,
! [X2: late_freeRes,X0: pi,X3: name,X1: pi] :
( ( $true
= ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X0 ) ) )
=> ( ( $true
= ( fresh_1641682979reeRes @ X3 @ X2 ) )
=> ( ( late_transitions @ ( res @ X3 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X3 @ X0 ) ) )
= $true ) ) ),
inference(fool_elimination,[],[f804]) ).
thf(f816,plain,
( ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) )
!= $true ),
inference(flattening,[],[f333]) ).
thf(f850,plain,
! [X2: late_freeRes,X0: pi,X3: name,X1: pi] :
( ( ( late_transitions @ ( res @ X3 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X3 @ X0 ) ) )
= $true )
| ( $true
!= ( fresh_1641682979reeRes @ X3 @ X2 ) )
| ( $true
!= ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X0 ) ) ) ),
inference(ennf_transformation,[],[f805]) ).
thf(f851,plain,
! [X1: pi,X3: name,X0: pi,X2: late_freeRes] :
( ( $true
!= ( fresh_1641682979reeRes @ X3 @ X2 ) )
| ( $true
!= ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X0 ) ) )
| ( ( late_transitions @ ( res @ X3 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X3 @ X0 ) ) )
= $true ) ),
inference(flattening,[],[f850]) ).
thf(f896,plain,
! [X0: pi,X1: name,X2: pi,X3: late_freeRes] :
( ( ( fresh_1641682979reeRes @ X1 @ X3 )
!= $true )
| ( $true
!= ( late_transitions @ X0 @ ( late_FreeR @ X3 @ X2 ) ) )
| ( $true
= ( late_transitions @ ( res @ X1 @ X0 ) @ ( late_FreeR @ X3 @ ( res @ X1 @ X2 ) ) ) ) ),
inference(rectify,[],[f851]) ).
thf(f909,plain,
( ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) )
!= $true ),
inference(cnf_transformation,[],[f816]) ).
thf(f913,plain,
( ( late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ) )
= $true ),
inference(cnf_transformation,[],[f486]) ).
thf(f915,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
= $true ),
inference(cnf_transformation,[],[f484]) ).
thf(f949,plain,
! [X2: pi,X3: late_freeRes,X0: pi,X1: name] :
( ( $true
= ( late_transitions @ ( res @ X1 @ X0 ) @ ( late_FreeR @ X3 @ ( res @ X1 @ X2 ) ) ) )
| ( ( fresh_1641682979reeRes @ X1 @ X3 )
!= $true )
| ( $true
!= ( late_transitions @ X0 @ ( late_FreeR @ X3 @ X2 ) ) ) ),
inference(cnf_transformation,[],[f896]) ).
thf(f961,plain,
( ( ( late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ) )
!= $true )
| ( ( fresh_1641682979reeRes @ x @ alpha )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f909,f949]) ).
thf(f963,plain,
( ( ( late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ) )
!= $true )
| ( ( fresh_1641682979reeRes @ x @ alpha )
!= $true ) ),
inference(trivial_inequality_removal,[],[f961]) ).
thf(f965,plain,
( ( fresh_1641682979reeRes @ x @ alpha )
!= $true ),
inference(forward_subsumption_resolution,[],[f963,f913]) ).
thf(f966,plain,
$false,
inference(forward_subsumption_resolution,[],[f965,f915]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP183^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 20:07:46 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.42 % (2144380)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.60/0.42 % (2144386)lrs+10_16_si=on:nwc=1.5:random_seed=86052852:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.60/0.42 % (2144386)Instruction limit reached!
% 0.60/0.42 % (2144386)------------------------------
% 0.60/0.42 % (2144386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144386)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144386)Termination reason: Instruction limit
% 0.60/0.42 % (2144386)Termination phase: shuffling
% 0.60/0.42 % (2144386)Time elapsed: 0.005 s
% 0.60/0.42 % (2144386)Peak memory usage: 10 MB
% 0.60/0.42 % (2144386)Instructions burned: 22 (million)
% 0.60/0.42 % (2144385)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2011278419:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.60/0.42 % (2144387)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1619920486:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.60/0.42 % (2144389)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=769257256:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.60/0.42 % (2144391)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.60/0.42 % (2144391)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.60/0.42 % (2144387)Instruction limit reached!
% 0.60/0.42 % (2144387)------------------------------
% 0.60/0.42 % (2144387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144387)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144387)Termination reason: Instruction limit
% 0.60/0.42 % (2144387)Termination phase: shuffling
% 0.60/0.42 % (2144387)Time elapsed: 0.002 s
% 0.60/0.42 % (2144387)Peak memory usage: 10 MB
% 0.60/0.42 % (2144387)Instructions burned: 4 (million)
% 0.60/0.42 % (2144391)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1390731109:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.60/0.42 % (2144388)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3602168586:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.60/0.42 % (2144390)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3890275645:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.60/0.42 % (2144389)Instruction limit reached!
% 0.60/0.42 % (2144389)------------------------------
% 0.60/0.42 % (2144389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144389)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144389)Termination reason: Instruction limit
% 0.60/0.42 % (2144389)Termination phase: shuffling
% 0.60/0.42 % (2144389)Time elapsed: 0.011 s
% 0.60/0.42 % (2144389)Peak memory usage: 10 MB
% 0.60/0.42 % (2144389)Instructions burned: 25 (million)
% 0.60/0.42 % (2144397)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2346673976:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.60/0.42 % (2144397)Instruction limit reached!
% 0.60/0.42 % (2144397)------------------------------
% 0.60/0.42 % (2144397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144397)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144397)Termination reason: Instruction limit
% 0.60/0.42 % (2144397)Termination phase: shuffling
% 0.60/0.42 % (2144397)Time elapsed: 0.003 s
% 0.60/0.42 % (2144397)Peak memory usage: 10 MB
% 0.60/0.42 % (2144397)Instructions burned: 6 (million)
% 0.60/0.42 % (2144401)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.42 % (2144393)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2362936448:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.42 % (2144401)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1640871414:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.60/0.42 % (2144393)Instruction limit reached!
% 0.60/0.42 % (2144393)------------------------------
% 0.60/0.42 % (2144393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144393)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144393)Termination reason: Instruction limit
% 0.60/0.42 % (2144393)Termination phase: shuffling
% 0.60/0.42 % (2144393)Time elapsed: 0.003 s
% 0.60/0.42 % (2144393)Peak memory usage: 10 MB
% 0.60/0.42 % (2144393)Instructions burned: 3 (million)
% 0.60/0.42 % (2144401)Instruction limit reached!
% 0.60/0.42 % (2144401)------------------------------
% 0.60/0.42 % (2144401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144401)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144401)Termination reason: Instruction limit
% 0.60/0.42 % (2144401)Termination phase: shuffling
% 0.60/0.42 % (2144401)Time elapsed: 0.004 s
% 0.60/0.42 % (2144401)Peak memory usage: 10 MB
% 0.60/0.42 % (2144401)Instructions burned: 9 (million)
% 0.60/0.42 % (2144385)Instruction limit reached!
% 0.60/0.42 % (2144385)------------------------------
% 0.60/0.42 % (2144385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144391)Instruction limit reached!
% 0.60/0.42 % (2144391)------------------------------
% 0.60/0.42 % (2144391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144385)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144391)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144385)Termination reason: Instruction limit
% 0.60/0.42 % (2144385)Termination phase: Property scanning
% 0.60/0.42 % (2144391)Termination reason: Instruction limit
% 0.60/0.42 % (2144391)Termination phase: Property scanning
% 0.60/0.42 % (2144385)Time elapsed: 0.040 s
% 0.60/0.42 % (2144391)Time elapsed: 0.036 s
% 0.60/0.42 % (2144385)Peak memory usage: 12 MB
% 0.60/0.42 % (2144391)Peak memory usage: 13 MB
% 0.60/0.42 % (2144385)Instructions burned: 88 (million)
% 0.60/0.42 % (2144391)Instructions burned: 159 (million)
% 0.60/0.42 % (2144390)Instruction limit reached!
% 0.60/0.42 % (2144390)------------------------------
% 0.60/0.42 % (2144390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144390)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144390)Termination reason: Instruction limit
% 0.60/0.42 % (2144390)Termination phase: Preprocessing 3
% 0.60/0.42 % (2144390)Time elapsed: 0.035 s
% 0.60/0.42 % (2144390)Peak memory usage: 12 MB
% 0.60/0.42 % (2144390)Instructions burned: 76 (million)
% 0.60/0.42 % (2144409)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.60/0.42 % (2144409)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2557834080:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.42 % (2144403)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2552905178:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.60/0.42 % (2144409)Instruction limit reached!
% 0.60/0.42 % (2144409)------------------------------
% 0.60/0.42 % (2144409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144409)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144409)Termination reason: Instruction limit
% 0.60/0.42 % (2144409)Termination phase: shuffling
% 0.60/0.42 % (2144409)Time elapsed: 0.001 s
% 0.60/0.42 % (2144409)Peak memory usage: 10 MB
% 0.60/0.42 % (2144409)Instructions burned: 3 (million)
% 0.60/0.42 % (2144407)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2252227135:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.60/0.42 % (2144408)lrs+10_1_si=on:cs=on:random_seed=477101222:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.60/0.42 % (2144413)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1377395512:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.60/0.42 % (2144410)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2952552018:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.60/0.42 % (2144406)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.60/0.42 % (2144406)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.42 % (2144408)Instruction limit reached!
% 0.60/0.42 % (2144408)------------------------------
% 0.60/0.42 % (2144408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144408)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144408)Termination reason: Instruction limit
% 0.60/0.42 % (2144408)Termination phase: shuffling
% 0.60/0.42 % (2144408)Time elapsed: 0.004 s
% 0.60/0.42 % (2144408)Peak memory usage: 10 MB
% 0.60/0.42 % (2144408)Instructions burned: 9 (million)
% 0.60/0.42 % (2144403)Instruction limit reached!
% 0.60/0.42 % (2144403)------------------------------
% 0.60/0.42 % (2144403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144403)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144403)Termination reason: Instruction limit
% 0.60/0.42 % (2144403)Termination phase: shuffling
% 0.60/0.42 % (2144403)Time elapsed: 0.015 s
% 0.60/0.42 % (2144403)Peak memory usage: 10 MB
% 0.60/0.42 % (2144403)Instructions burned: 14 (million)
% 0.60/0.42 % (2144406)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2959477924:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.60/0.42 % (2144413) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2144380-2144413"...
% 0.60/0.42 % (2144410)Instruction limit reached!
% 0.60/0.42 % (2144410)------------------------------
% 0.60/0.42 % (2144410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144410)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144410)Termination reason: Instruction limit
% 0.60/0.42 % (2144410)Termination phase: Property scanning
% 0.60/0.42 % (2144410)Time elapsed: 0.017 s
% 0.60/0.42 % (2144410)Peak memory usage: 10 MB
% 0.60/0.42 % (2144410)Instructions burned: 39 (million)
% 0.60/0.42 % (2144413)...printing done.
% 0.60/0.42 % (2144413)Refutation found. Thanks to Tanya!
% 0.60/0.42 % SZS status Theorem for theBenchmark
% 0.60/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.42 % (2144413)------------------------------
% 0.60/0.42 % (2144413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.42 % (2144413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.42 % (2144413)CaDiCaL version: 2.1.3
% 0.60/0.42 % (2144413)Termination reason: Refutation
% 0.60/0.42 % (2144413)Time elapsed: 0.017 s
% 0.60/0.42 % (2144413)Peak memory usage: 13 MB
% 0.60/0.42 % (2144413)Instructions burned: 69 (million)
% 0.60/0.42 % (2144380)Success in time 0.133 s
% 0.60/0.42 % Vampire exiting
%------------------------------------------------------------------------------