%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP071^1 : 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 : n012.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 08:08:13 AM UTC 2026
% Result : Theorem 0.40s 0.26s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 22 unt; 0 typ; 2 def)
% Number of atoms : 63 ( 16 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 104 ( 14 ~; 8 |; 0 &; 80 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 346 ( 343 usr; 7 con; 0-6 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1689254567Tree_a: $tType ).
thf(type_def_6,type,
set_Pr1070816379Tree_a: $tType ).
thf(type_def_7,type,
set_Pr921883667ee_a_a: $tType ).
thf(type_def_8,type,
produc143150363Tree_a: $tType ).
thf(type_def_9,type,
produc981471411ee_a_a: $tType ).
thf(type_def_10,type,
set_Product_prod_a_a: $tType ).
thf(type_def_11,type,
product_prod_a_a: $tType ).
thf(type_def_12,type,
multiset_a: $tType ).
thf(type_def_13,type,
list_a: $tType ).
thf(type_def_14,type,
tree_a: $tType ).
thf(type_def_15,type,
set_a: $tType ).
thf(type_def_16,type,
a: $tType ).
thf(type_def_17,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_cs1091007358Tree_a: set_Pr1070816379Tree_a > ( produc143150363Tree_a > tree_a ) > ( produc1689254567Tree_a > tree_a ) > ( produc143150363Tree_a > produc143150363Tree_a ) > ( produc143150363Tree_a > produc1689254567Tree_a ) > $o ).
thf(func_def_1,type,
bNF_cs739966834Tree_a: set_Pr1070816379Tree_a > ( product_prod_a_a > a ) > ( produc143150363Tree_a > a ) > ( produc143150363Tree_a > product_prod_a_a ) > ( produc143150363Tree_a > produc143150363Tree_a ) > $o ).
thf(func_def_2,type,
bNF_cs1095035134ee_a_a: set_Product_prod_a_a > ( produc143150363Tree_a > tree_a ) > ( produc981471411ee_a_a > tree_a ) > ( product_prod_a_a > produc143150363Tree_a ) > ( product_prod_a_a > produc981471411ee_a_a ) > $o ).
thf(func_def_3,type,
bNF_fstOp_Tree_a_a_a: ( tree_a > a > $o ) > ( a > a > $o ) > produc981471411ee_a_a > produc981471411ee_a_a ).
thf(func_def_4,type,
bNF_fs1579355852Tree_a: ( a > tree_a > $o ) > ( tree_a > tree_a > $o ) > produc143150363Tree_a > produc143150363Tree_a ).
thf(func_def_5,type,
bNF_fstOp_a_Tree_a_a: ( a > tree_a > $o ) > ( tree_a > a > $o ) > product_prod_a_a > produc143150363Tree_a ).
thf(func_def_6,type,
bNF_fstOp_a_a_Tree_a: ( a > a > $o ) > ( a > tree_a > $o ) > produc143150363Tree_a > product_prod_a_a ).
thf(func_def_7,type,
bNF_pi1059296282ee_a_a: ( tree_a > tree_a > $o ) > ( tree_a > a > $o ) > tree_a > a > tree_a ).
thf(func_def_8,type,
bNF_pi1407460238_a_a_a: ( tree_a > a > $o ) > ( a > a > $o ) > tree_a > a > a ).
thf(func_def_9,type,
bNF_pi1536086554Tree_a: ( a > tree_a > $o ) > ( tree_a > tree_a > $o ) > a > tree_a > tree_a ).
thf(func_def_10,type,
bNF_pi207687054Tree_a: ( a > a > $o ) > ( a > tree_a > $o ) > a > tree_a > a ).
thf(func_def_11,type,
bNF_sn210385162ee_a_a: ( tree_a > tree_a > $o ) > ( tree_a > a > $o ) > produc981471411ee_a_a > produc981471411ee_a_a ).
thf(func_def_12,type,
bNF_sn687175434Tree_a: ( a > tree_a > $o ) > ( tree_a > tree_a > $o ) > produc143150363Tree_a > produc1689254567Tree_a ).
thf(func_def_13,type,
bNF_sndOp_a_Tree_a_a: ( a > tree_a > $o ) > ( tree_a > a > $o ) > product_prod_a_a > produc981471411ee_a_a ).
thf(func_def_14,type,
bNF_sndOp_a_a_Tree_a: ( a > a > $o ) > ( a > tree_a > $o ) > produc143150363Tree_a > produc143150363Tree_a ).
thf(func_def_15,type,
bNF_Gr2005589581ee_a_a: set_Pr1070816379Tree_a > ( produc143150363Tree_a > tree_a ) > ( produc143150363Tree_a > a ) > set_Pr921883667ee_a_a ).
thf(func_def_16,type,
bNF_Gr2042500789Tree_a: set_Pr1070816379Tree_a > ( produc143150363Tree_a > a ) > ( produc143150363Tree_a > tree_a ) > set_Pr1070816379Tree_a ).
thf(func_def_17,type,
bNF_Gr614734384ee_a_a: set_a > ( a > tree_a ) > ( a > a ) > set_Pr921883667ee_a_a ).
thf(func_def_18,type,
bNF_Gr651645592Tree_a: set_a > ( a > a ) > ( a > tree_a ) > set_Pr1070816379Tree_a ).
thf(func_def_19,type,
comp_T59512783Tree_a: ( tree_a > tree_a ) > ( tree_a > tree_a ) > tree_a > tree_a ).
thf(func_def_20,type,
comp_T1074491280ee_a_a: ( tree_a > tree_a ) > ( produc981471411ee_a_a > tree_a ) > produc981471411ee_a_a > tree_a ).
thf(func_def_21,type,
comp_T236170232Tree_a: ( tree_a > tree_a ) > ( produc143150363Tree_a > tree_a ) > produc143150363Tree_a > tree_a ).
thf(func_def_22,type,
comp_P1066590417ee_a_a: ( produc981471411ee_a_a > tree_a ) > ( produc981471411ee_a_a > produc981471411ee_a_a ) > produc981471411ee_a_a > tree_a ).
thf(func_def_23,type,
comp_P228269369Tree_a: ( produc981471411ee_a_a > tree_a ) > ( produc143150363Tree_a > produc981471411ee_a_a ) > produc143150363Tree_a > tree_a ).
thf(func_def_24,type,
comp_P342079405Tree_a: ( produc981471411ee_a_a > a ) > ( produc143150363Tree_a > produc981471411ee_a_a ) > produc143150363Tree_a > a ).
thf(func_def_25,type,
comp_P1663859001ee_a_a: ( produc143150363Tree_a > tree_a ) > ( produc981471411ee_a_a > produc143150363Tree_a ) > produc981471411ee_a_a > tree_a ).
thf(func_def_26,type,
comp_P825537953Tree_a: ( produc143150363Tree_a > tree_a ) > ( produc143150363Tree_a > produc143150363Tree_a ) > produc143150363Tree_a > tree_a ).
thf(func_def_27,type,
comp_P1103783853ee_a_a: ( produc143150363Tree_a > a ) > ( produc981471411ee_a_a > produc143150363Tree_a ) > produc981471411ee_a_a > a ).
thf(func_def_28,type,
comp_P265462805Tree_a: ( produc143150363Tree_a > a ) > ( produc143150363Tree_a > produc143150363Tree_a ) > produc143150363Tree_a > a ).
thf(func_def_29,type,
comp_a608639864Tree_a: ( a > a ) > ( produc143150363Tree_a > a ) > produc143150363Tree_a > a ).
thf(func_def_30,type,
heapIm970322378pify_a: tree_a > tree_a ).
thf(func_def_31,type,
heapIm229596386mpty_a: tree_a > $o ).
thf(func_def_32,type,
heapIm915766629_max_a: tree_a > produc143150363Tree_a ).
thf(func_def_33,type,
heapIm1140443833left_a: tree_a > tree_a ).
thf(func_def_34,type,
heapIm837449470Leaf_a: tree_a > produc143150363Tree_a ).
thf(func_def_35,type,
heapIm1257206334ight_a: tree_a > tree_a ).
thf(func_def_36,type,
heapIm1091024090Down_a: tree_a > tree_a ).
thf(func_def_37,type,
heap_Tree_a_a: tree_a > ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > $o ).
thf(func_def_38,type,
heap_axioms_Tree_a_a: ( tree_a > $o ) > ( list_a > tree_a ) > ( tree_a > multiset_a ) > ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > $o ).
thf(func_def_39,type,
e_a: tree_a ).
thf(func_def_40,type,
t_a: a > tree_a > tree_a > tree_a ).
thf(func_def_41,type,
in_tree_a: a > tree_a > $o ).
thf(func_def_42,type,
is_heap_a: tree_a > $o ).
thf(func_def_43,type,
multiset_a2: tree_a > multiset_a ).
thf(func_def_44,type,
val_a: tree_a > a ).
thf(func_def_45,type,
if_Pro1144176865Tree_a: $o > produc143150363Tree_a > produc143150363Tree_a > produc143150363Tree_a ).
thf(func_def_46,type,
lattic146396397_Max_a: set_a > a ).
thf(func_def_47,type,
add_mset_a: a > multiset_a > multiset_a ).
thf(func_def_48,type,
set_mset_a: multiset_a > set_a ).
thf(func_def_49,type,
ord_le1748873858_a_a_o: ( tree_a > a > $o ) > ( tree_a > a > $o ) > $o ).
thf(func_def_50,type,
ord_le1601593986ee_a_o: ( produc143150363Tree_a > $o ) > ( produc143150363Tree_a > $o ) > $o ).
thf(func_def_51,type,
ord_le1327026842ee_a_o: ( a > tree_a > $o ) > ( a > tree_a > $o ) > $o ).
thf(func_def_52,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_53,type,
ord_le864074675ee_a_a: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > $o ).
thf(func_def_54,type,
ord_le1013007387Tree_a: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > $o ).
thf(func_def_55,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_56,type,
ord_less_eq_a: a > a > $o ).
thf(func_def_57,type,
order_Greatest_a: ( a > $o ) > a ).
thf(func_def_58,type,
produc649172771ee_a_a: tree_a > a > produc981471411ee_a_a ).
thf(func_def_59,type,
produc686083979Tree_a: a > tree_a > produc143150363Tree_a ).
thf(func_def_60,type,
produc569472578ee_a_a: ( tree_a > tree_a ) > produc981471411ee_a_a > produc981471411ee_a_a ).
thf(func_def_61,type,
produc606383786Tree_a: ( tree_a > a ) > produc1689254567Tree_a > produc143150363Tree_a ).
thf(func_def_62,type,
produc159857078_a_a_a: ( tree_a > a ) > produc981471411ee_a_a > product_prod_a_a ).
thf(func_def_63,type,
produc1046262850Tree_a: ( a > tree_a ) > produc143150363Tree_a > produc1689254567Tree_a ).
thf(func_def_64,type,
produc1070656334ee_a_a: ( a > tree_a ) > product_prod_a_a > produc981471411ee_a_a ).
thf(func_def_65,type,
produc1107567542Tree_a: ( a > a ) > produc143150363Tree_a > produc143150363Tree_a ).
thf(func_def_66,type,
produc819961216ee_a_a: ( tree_a > tree_a ) > produc143150363Tree_a > produc143150363Tree_a ).
thf(func_def_67,type,
produc856872424Tree_a: ( tree_a > a ) > produc1689254567Tree_a > produc981471411ee_a_a ).
thf(func_def_68,type,
produc21534708_a_a_a: ( tree_a > a ) > produc143150363Tree_a > product_prod_a_a ).
thf(func_def_69,type,
produc1296751488Tree_a: ( a > tree_a ) > produc981471411ee_a_a > produc1689254567Tree_a ).
thf(func_def_70,type,
produc932333964ee_a_a: ( a > tree_a ) > product_prod_a_a > produc143150363Tree_a ).
thf(func_def_71,type,
produc969245172Tree_a: ( a > a ) > produc981471411ee_a_a > produc981471411ee_a_a ).
thf(func_def_72,type,
produc1205515265_a_a_o: ( produc981471411ee_a_a > $o ) > tree_a > a > $o ).
thf(func_def_73,type,
produc1808426884Tree_a: ( produc981471411ee_a_a > produc143150363Tree_a ) > tree_a > a > produc143150363Tree_a ).
thf(func_def_74,type,
produc1291432345ee_a_o: ( produc143150363Tree_a > $o ) > a > tree_a > $o ).
thf(func_def_75,type,
produc740705523Tree_a: ( produc143150363Tree_a > tree_a ) > a > tree_a > tree_a ).
thf(func_def_76,type,
produc623433908ee_a_a: ( produc143150363Tree_a > produc981471411ee_a_a ) > a > tree_a > produc981471411ee_a_a ).
thf(func_def_77,type,
produc126329485Tree_a: ( tree_a > a > produc143150363Tree_a ) > produc981471411ee_a_a > produc143150363Tree_a ).
thf(func_def_78,type,
produc1405823650ee_a_o: ( a > tree_a > $o ) > produc143150363Tree_a > $o ).
thf(func_def_79,type,
produc534868220Tree_a: ( a > tree_a > tree_a ) > produc143150363Tree_a > tree_a ).
thf(func_def_80,type,
produc1088820157ee_a_a: ( a > tree_a > produc981471411ee_a_a ) > produc143150363Tree_a > produc981471411ee_a_a ).
thf(func_def_81,type,
produc1587316832_a_a_o: ( tree_a > a > $o ) > produc981471411ee_a_a > $o ).
thf(func_def_82,type,
produc433477818Tree_a: ( tree_a > a > tree_a ) > produc981471411ee_a_a > tree_a ).
thf(func_def_83,type,
produc1207340411ee_a_a: ( tree_a > a > produc981471411ee_a_a ) > produc981471411ee_a_a > produc981471411ee_a_a ).
thf(func_def_84,type,
produc369019363Tree_a: ( tree_a > a > produc143150363Tree_a ) > produc981471411ee_a_a > produc143150363Tree_a ).
thf(func_def_85,type,
produc951236931Tree_a: ( tree_a > a > set_Pr1070816379Tree_a ) > produc981471411ee_a_a > set_Pr1070816379Tree_a ).
thf(func_def_86,type,
produc136688934_set_a: ( tree_a > a > set_a ) > produc981471411ee_a_a > set_a ).
thf(func_def_87,type,
produc1673233912ee_a_o: ( a > tree_a > $o ) > produc143150363Tree_a > $o ).
thf(func_def_88,type,
produc873356882Tree_a: ( a > tree_a > tree_a ) > produc143150363Tree_a > tree_a ).
thf(func_def_89,type,
produc1331510035ee_a_a: ( a > tree_a > produc981471411ee_a_a ) > produc143150363Tree_a > produc981471411ee_a_a ).
thf(func_def_90,type,
produc493188987Tree_a: ( a > tree_a > produc143150363Tree_a ) > produc143150363Tree_a > produc143150363Tree_a ).
thf(func_def_91,type,
produc802621147Tree_a: ( a > tree_a > set_Pr1070816379Tree_a ) > produc143150363Tree_a > set_Pr1070816379Tree_a ).
thf(func_def_92,type,
produc1902270_set_a: ( a > tree_a > set_a ) > produc143150363Tree_a > set_a ).
thf(func_def_93,type,
produc950721886ee_a_a: ( a > tree_a > a ) > produc143150363Tree_a > a ).
thf(func_def_94,type,
produc1206152067Tree_a: produc1689254567Tree_a > tree_a ).
thf(func_def_95,type,
product_fst_Tree_a_a: produc981471411ee_a_a > tree_a ).
thf(func_def_96,type,
product_fst_a_Tree_a: produc143150363Tree_a > a ).
thf(func_def_97,type,
product_snd_Tree_a_a: produc981471411ee_a_a > a ).
thf(func_def_98,type,
product_snd_a_Tree_a: produc143150363Tree_a > tree_a ).
thf(func_def_99,type,
product_snd_a_a: product_prod_a_a > a ).
thf(func_def_100,type,
produc1478296771ee_a_a: produc981471411ee_a_a > produc143150363Tree_a ).
thf(func_def_101,type,
produc1515207979Tree_a: produc143150363Tree_a > produc981471411ee_a_a ).
thf(func_def_102,type,
relcom439193229Tree_a: ( a > tree_a > $o ) > ( tree_a > tree_a > $o ) > a > tree_a > $o ).
thf(func_def_103,type,
relcompp_a_Tree_a_a: ( a > tree_a > $o ) > ( tree_a > a > $o ) > a > a > $o ).
thf(func_def_104,type,
relcompp_a_a_Tree_a: ( a > a > $o ) > ( a > tree_a > $o ) > a > tree_a > $o ).
thf(func_def_105,type,
collec1324690334ee_a_a: ( produc981471411ee_a_a > $o ) > set_Pr921883667ee_a_a ).
thf(func_def_106,type,
collec486369286Tree_a: ( produc143150363Tree_a > $o ) > set_Pr1070816379Tree_a ).
thf(func_def_107,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_108,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_109,type,
member1092636252ee_a_a: produc981471411ee_a_a > set_Pr921883667ee_a_a > $o ).
thf(func_def_110,type,
member254315204Tree_a: produc143150363Tree_a > set_Pr1070816379Tree_a > $o ).
thf(func_def_111,type,
member_a: a > set_a > $o ).
thf(func_def_112,type,
t: tree_a ).
thf(func_def_113,type,
v: a ).
thf(func_def_115,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_116,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_117,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_118,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_119,type,
vIMP: $o > $o > $o ).
thf(func_def_120,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_121,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_122,type,
vAND: $o > $o > $o ).
thf(func_def_125,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
vNOT: $o > $o ).
thf(func_def_129,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_130,type,
sP0: ( tree_a > $o ) > $o ).
thf(func_def_131,type,
sP1: ( tree_a > $o ) > $o ).
thf(func_def_132,type,
sP2: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > $o ).
thf(func_def_133,type,
sP3: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > multiset_a ) > $o ).
thf(func_def_134,type,
sP4: a > a > a > $o ).
thf(func_def_135,type,
sP5: a > a > a > $o ).
thf(func_def_136,type,
sK6: ( tree_a > a > set_a ) > a > produc981471411ee_a_a > a ).
thf(func_def_137,type,
sK7: ( tree_a > a > set_a ) > a > produc981471411ee_a_a > tree_a ).
thf(func_def_138,type,
sK8: produc143150363Tree_a > tree_a ).
thf(func_def_139,type,
sK9: produc143150363Tree_a > a ).
thf(func_def_140,type,
sK10: a > ( a > tree_a > set_a ) > produc143150363Tree_a > a ).
thf(func_def_141,type,
sK11: a > ( a > tree_a > set_a ) > produc143150363Tree_a > tree_a ).
thf(func_def_142,type,
sK12: ( produc143150363Tree_a > $o ) > ( produc143150363Tree_a > $o ) > produc143150363Tree_a ).
thf(func_def_143,type,
sK13: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > tree_a ).
thf(func_def_144,type,
sK14: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > a ).
thf(func_def_145,type,
sK15: tree_a > produc981471411ee_a_a > a ).
thf(func_def_146,type,
sK16: ( produc143150363Tree_a > $o ) > a ).
thf(func_def_147,type,
sK17: ( produc143150363Tree_a > $o ) > tree_a ).
thf(func_def_148,type,
sK18: produc981471411ee_a_a > ( tree_a > a > produc143150363Tree_a ) > ( tree_a > a > produc143150363Tree_a ) > tree_a ).
thf(func_def_149,type,
sK19: produc981471411ee_a_a > ( tree_a > a > produc143150363Tree_a ) > ( tree_a > a > produc143150363Tree_a ) > a ).
thf(func_def_150,type,
sK20: ( a > a ) > a ).
thf(func_def_151,type,
sK21: ( a > a ) > a ).
thf(func_def_152,type,
sK22: ( produc143150363Tree_a > $o ) > a ).
thf(func_def_153,type,
sK23: ( produc143150363Tree_a > $o ) > tree_a ).
thf(func_def_154,type,
sK24: ( a > tree_a > produc981471411ee_a_a ) > ( produc981471411ee_a_a > $o ) > produc143150363Tree_a > tree_a ).
thf(func_def_155,type,
sK25: ( a > tree_a > produc981471411ee_a_a ) > ( produc981471411ee_a_a > $o ) > produc143150363Tree_a > a ).
thf(func_def_156,type,
sK26: produc981471411ee_a_a > tree_a ).
thf(func_def_157,type,
sK27: produc981471411ee_a_a > a ).
thf(func_def_158,type,
sK28: ( a > tree_a > $o ) > ( tree_a > a > produc143150363Tree_a ) > ( produc143150363Tree_a > $o ) > a ).
thf(func_def_159,type,
sK29: ( a > tree_a > $o ) > ( tree_a > a > produc143150363Tree_a ) > ( produc143150363Tree_a > $o ) > tree_a ).
thf(func_def_160,type,
sK30: ( a > $o ) > set_a > a ).
thf(func_def_161,type,
sK31: produc143150363Tree_a > ( a > tree_a > $o ) > a ).
thf(func_def_162,type,
sK32: produc143150363Tree_a > ( a > tree_a > $o ) > tree_a ).
thf(func_def_163,type,
sK33: ( tree_a > a > $o ) > produc981471411ee_a_a > a ).
thf(func_def_164,type,
sK34: ( tree_a > a > $o ) > produc981471411ee_a_a > tree_a ).
thf(func_def_165,type,
sK35: tree_a > a > tree_a ).
thf(func_def_166,type,
sK36: tree_a > a > tree_a ).
thf(func_def_167,type,
sK37: tree_a > a > a ).
thf(func_def_168,type,
sK38: tree_a > tree_a ).
thf(func_def_169,type,
sK39: tree_a > a ).
thf(func_def_170,type,
sK40: tree_a > tree_a ).
thf(func_def_171,type,
sK41: ( a > a ) > a ).
thf(func_def_172,type,
sK42: ( a > a ) > a ).
thf(func_def_173,type,
sK43: ( a > tree_a > tree_a ) > ( produc143150363Tree_a > tree_a ) > tree_a ).
thf(func_def_174,type,
sK44: ( a > tree_a > tree_a ) > ( produc143150363Tree_a > tree_a ) > a ).
thf(func_def_175,type,
sK45: ( a > tree_a > tree_a ) > ( tree_a > $o ) > produc143150363Tree_a > tree_a ).
thf(func_def_176,type,
sK46: ( a > tree_a > tree_a ) > ( tree_a > $o ) > produc143150363Tree_a > a ).
thf(func_def_177,type,
sK47: ( tree_a > $o ) > a ).
thf(func_def_178,type,
sK48: ( tree_a > $o ) > tree_a ).
thf(func_def_179,type,
sK49: ( tree_a > $o ) > tree_a ).
thf(func_def_180,type,
sK50: ( tree_a > $o ) > tree_a ).
thf(func_def_181,type,
sK51: ( tree_a > $o ) > a ).
thf(func_def_182,type,
sK52: ( tree_a > $o ) > a ).
thf(func_def_183,type,
sK53: ( tree_a > $o ) > tree_a ).
thf(func_def_184,type,
sK54: ( tree_a > $o ) > a ).
thf(func_def_185,type,
sK55: ( tree_a > $o ) > tree_a ).
thf(func_def_186,type,
sK56: ( tree_a > $o ) > a ).
thf(func_def_187,type,
sK57: ( tree_a > $o ) > tree_a ).
thf(func_def_188,type,
sK58: ( tree_a > $o ) > tree_a ).
thf(func_def_189,type,
sK59: ( tree_a > $o ) > tree_a ).
thf(func_def_190,type,
sK60: ( tree_a > $o ) > a ).
thf(func_def_191,type,
sK61: ( tree_a > $o ) > a ).
thf(func_def_192,type,
sK62: ( tree_a > $o ) > tree_a ).
thf(func_def_193,type,
sK63: ( tree_a > $o ) > tree_a ).
thf(func_def_194,type,
sK64: ( tree_a > $o ) > a ).
thf(func_def_195,type,
sK65: ( tree_a > $o ) > tree_a ).
thf(func_def_196,type,
sK66: ( tree_a > $o ) > a ).
thf(func_def_197,type,
sK67: ( tree_a > $o ) > a ).
thf(func_def_198,type,
sK68: ( tree_a > $o ) > tree_a ).
thf(func_def_199,type,
sK69: ( tree_a > $o ) > a ).
thf(func_def_200,type,
sK70: ( produc981471411ee_a_a > $o ) > tree_a ).
thf(func_def_201,type,
sK71: ( produc981471411ee_a_a > $o ) > a ).
thf(func_def_202,type,
sK72: ( produc981471411ee_a_a > produc143150363Tree_a ) > ( tree_a > a > produc143150363Tree_a ) > tree_a ).
thf(func_def_203,type,
sK73: ( produc981471411ee_a_a > produc143150363Tree_a ) > ( tree_a > a > produc143150363Tree_a ) > a ).
thf(func_def_204,type,
sK74: set_Pr1070816379Tree_a > ( produc143150363Tree_a > $o ) > produc143150363Tree_a ).
thf(func_def_205,type,
sK75: produc143150363Tree_a > a > tree_a ).
thf(func_def_206,type,
sK76: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > multiset_a ) > tree_a ).
thf(func_def_207,type,
sK77: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > multiset_a ) > a ).
thf(func_def_208,type,
sK78: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > multiset_a ) > tree_a ).
thf(func_def_209,type,
sK79: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).
thf(func_def_210,type,
sK80: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > a ).
thf(func_def_211,type,
sK81: ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > ( tree_a > tree_a ) > tree_a ).
thf(func_def_212,type,
sK82: ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > a ).
thf(func_def_213,type,
sK83: ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > tree_a ).
thf(func_def_214,type,
sK84: ( tree_a > tree_a ) > ( tree_a > produc143150363Tree_a ) > ( tree_a > $o ) > tree_a ).
thf(func_def_215,type,
sK85: ( tree_a > tree_a ) > ( tree_a > $o ) > tree_a ).
thf(func_def_216,type,
sK86: ( tree_a > multiset_a ) > ( tree_a > tree_a ) > tree_a ).
thf(func_def_217,type,
sK87: ( tree_a > tree_a ) > ( list_a > tree_a ) > list_a ).
thf(func_def_218,type,
sK88: set_Pr1070816379Tree_a > set_Pr1070816379Tree_a > produc143150363Tree_a ).
thf(func_def_219,type,
sK89: set_a > set_a > a ).
thf(func_def_220,type,
sK90: produc143150363Tree_a > a > ( a > tree_a > set_a ) > a ).
thf(func_def_221,type,
sK91: produc143150363Tree_a > a > ( a > tree_a > set_a ) > tree_a ).
thf(func_def_222,type,
sK92: ( a > tree_a > produc981471411ee_a_a ) > ( a > tree_a > produc981471411ee_a_a ) > produc143150363Tree_a > tree_a ).
thf(func_def_223,type,
sK93: ( a > tree_a > produc981471411ee_a_a ) > ( a > tree_a > produc981471411ee_a_a ) > produc143150363Tree_a > a ).
thf(func_def_224,type,
sK94: ( a > $o ) > set_a > ( a > $o ) > a ).
thf(func_def_225,type,
sK95: ( a > tree_a > $o ) > ( tree_a > a > $o ) > ( $o > $o ) > tree_a ).
thf(func_def_226,type,
sK96: ( a > tree_a > $o ) > ( tree_a > a > $o ) > ( $o > $o ) > a ).
thf(func_def_227,type,
sK97: ( a > tree_a > set_Pr1070816379Tree_a ) > produc143150363Tree_a > produc143150363Tree_a > a ).
thf(func_def_228,type,
sK98: ( a > tree_a > set_Pr1070816379Tree_a ) > produc143150363Tree_a > produc143150363Tree_a > tree_a ).
thf(func_def_229,type,
sK99: ( a > tree_a > $o ) > produc143150363Tree_a > ( a > tree_a > $o ) > a ).
thf(func_def_230,type,
sK100: ( a > tree_a > $o ) > produc143150363Tree_a > ( a > tree_a > $o ) > tree_a ).
thf(func_def_231,type,
sK101: ( tree_a > a > $o ) > produc981471411ee_a_a > a ).
thf(func_def_232,type,
sK102: ( tree_a > a > $o ) > produc981471411ee_a_a > tree_a ).
thf(func_def_233,type,
sK103: produc981471411ee_a_a > ( tree_a > a > produc143150363Tree_a ) > ( produc143150363Tree_a > $o ) > a ).
thf(func_def_234,type,
sK104: produc981471411ee_a_a > ( tree_a > a > produc143150363Tree_a ) > ( produc143150363Tree_a > $o ) > tree_a ).
thf(func_def_235,type,
sK105: tree_a > tree_a ).
thf(func_def_236,type,
sK106: tree_a > a ).
thf(func_def_237,type,
sK107: tree_a > a ).
thf(func_def_238,type,
sK108: tree_a > tree_a ).
thf(func_def_239,type,
sK109: tree_a > a ).
thf(func_def_240,type,
sK110: tree_a > a ).
thf(func_def_241,type,
sK111: tree_a > a ).
thf(func_def_242,type,
sK112: tree_a > tree_a ).
thf(func_def_243,type,
sK113: tree_a > a ).
thf(func_def_244,type,
sK114: tree_a > tree_a ).
thf(func_def_245,type,
sK115: tree_a > tree_a ).
thf(func_def_246,type,
sK116: tree_a > tree_a ).
thf(func_def_247,type,
sK117: tree_a > tree_a ).
thf(func_def_248,type,
sK118: tree_a > a ).
thf(func_def_249,type,
sK119: tree_a > tree_a ).
thf(func_def_250,type,
sK120: tree_a > a ).
thf(func_def_251,type,
sK121: tree_a > a ).
thf(func_def_252,type,
sK122: tree_a > tree_a ).
thf(func_def_253,type,
sK123: tree_a > tree_a ).
thf(func_def_254,type,
sK124: tree_a > tree_a ).
thf(func_def_255,type,
sK125: tree_a > a ).
thf(func_def_256,type,
sK126: tree_a > tree_a ).
thf(func_def_257,type,
sK127: tree_a > a ).
thf(func_def_258,type,
sK128: ( produc143150363Tree_a > $o ) > ( produc143150363Tree_a > $o ) > produc143150363Tree_a ).
thf(func_def_259,type,
sK129: produc981471411ee_a_a > tree_a ).
thf(func_def_260,type,
sK130: produc981471411ee_a_a > a ).
thf(func_def_261,type,
sK131: ( tree_a > a > $o ) > a ).
thf(func_def_262,type,
sK132: ( tree_a > a > $o ) > tree_a ).
thf(func_def_263,type,
sK133: ( a > tree_a > produc981471411ee_a_a ) > ( produc143150363Tree_a > produc981471411ee_a_a ) > tree_a ).
thf(func_def_264,type,
sK134: ( a > tree_a > produc981471411ee_a_a ) > ( produc143150363Tree_a > produc981471411ee_a_a ) > a ).
thf(func_def_265,type,
sK135: a > ( tree_a > a > set_a ) > produc981471411ee_a_a > tree_a ).
thf(func_def_266,type,
sK136: a > ( tree_a > a > set_a ) > produc981471411ee_a_a > a ).
thf(func_def_267,type,
sK137: ( a > a ) > a ).
thf(func_def_268,type,
sK138: ( a > a ) > a ).
thf(func_def_269,type,
sK139: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > a ).
thf(func_def_270,type,
sK140: set_Pr921883667ee_a_a > set_Pr921883667ee_a_a > tree_a ).
thf(func_def_271,type,
sK141: tree_a > tree_a ).
thf(func_def_272,type,
sK142: tree_a > a ).
thf(func_def_273,type,
sK143: tree_a > tree_a ).
thf(func_def_274,type,
sK144: tree_a > a ).
thf(func_def_275,type,
sK145: tree_a > tree_a ).
thf(func_def_276,type,
sK146: tree_a > a ).
thf(func_def_277,type,
sK147: tree_a > tree_a ).
thf(func_def_278,type,
sK148: tree_a > a ).
thf(func_def_279,type,
sK149: tree_a > tree_a ).
thf(func_def_280,type,
sK150: tree_a > tree_a ).
thf(func_def_281,type,
sK151: tree_a > a ).
thf(func_def_282,type,
sK152: tree_a > a ).
thf(func_def_283,type,
sK153: tree_a > a ).
thf(func_def_284,type,
sK154: tree_a > tree_a ).
thf(func_def_285,type,
sK155: tree_a > a ).
thf(func_def_286,type,
sK156: tree_a > tree_a ).
thf(func_def_287,type,
sK157: ( produc143150363Tree_a > $o ) > ( produc143150363Tree_a > $o ) > produc143150363Tree_a ).
thf(func_def_288,type,
sK158: ( a > tree_a > $o ) > tree_a ).
thf(func_def_289,type,
sK159: ( a > tree_a > $o ) > a ).
thf(func_def_290,type,
sK160: ( a > a ) > a ).
thf(func_def_291,type,
sK161: ( a > a ) > a ).
thf(func_def_292,type,
sK162: tree_a > a ).
thf(func_def_293,type,
sK163: tree_a > a ).
thf(func_def_294,type,
sK164: tree_a > tree_a ).
thf(func_def_295,type,
sK165: tree_a > tree_a ).
thf(func_def_296,type,
sK166: tree_a > a ).
thf(func_def_297,type,
sK167: tree_a > a ).
thf(func_def_298,type,
sK168: tree_a > tree_a ).
thf(func_def_299,type,
sK169: tree_a > tree_a ).
thf(func_def_300,type,
sK170: tree_a > tree_a ).
thf(func_def_301,type,
sK171: tree_a > tree_a ).
thf(func_def_302,type,
sK172: tree_a > a ).
thf(func_def_303,type,
sK173: tree_a > a ).
thf(func_def_304,type,
sK174: tree_a > a ).
thf(func_def_305,type,
sK175: tree_a > tree_a ).
thf(func_def_306,type,
sK176: tree_a > a ).
thf(func_def_307,type,
sK177: tree_a > tree_a ).
thf(func_def_308,type,
sK178: ( produc143150363Tree_a > $o ) > set_Pr1070816379Tree_a > ( produc143150363Tree_a > $o ) > produc143150363Tree_a ).
thf(func_def_309,type,
sK179: produc981471411ee_a_a > a > tree_a ).
thf(func_def_310,type,
sK180: ( a > tree_a > tree_a ) > ( a > tree_a > tree_a ) > produc143150363Tree_a > tree_a ).
thf(func_def_311,type,
sK181: ( a > tree_a > tree_a ) > ( a > tree_a > tree_a ) > produc143150363Tree_a > a ).
thf(func_def_312,type,
sK182: produc143150363Tree_a > tree_a ).
thf(func_def_313,type,
sK183: produc143150363Tree_a > a ).
thf(func_def_314,type,
sK184: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_315,type,
sK185: a > ( a > $o ) > a ).
thf(func_def_316,type,
sK186: produc143150363Tree_a > ( $o > $o ) > ( a > tree_a > $o ) > tree_a ).
thf(func_def_317,type,
sK187: produc143150363Tree_a > ( $o > $o ) > ( a > tree_a > $o ) > a ).
thf(func_def_318,type,
sK188: ( tree_a > a > set_Pr1070816379Tree_a ) > produc143150363Tree_a > produc981471411ee_a_a > tree_a ).
thf(func_def_319,type,
sK189: ( tree_a > a > set_Pr1070816379Tree_a ) > produc143150363Tree_a > produc981471411ee_a_a > a ).
thf(func_def_320,type,
sK190: ( tree_a > $o ) > tree_a ).
thf(func_def_321,type,
sK191: ( tree_a > $o ) > a ).
thf(func_def_322,type,
sK192: ( tree_a > $o ) > tree_a ).
thf(func_def_323,type,
sK193: produc981471411ee_a_a > produc143150363Tree_a > ( tree_a > a > set_Pr1070816379Tree_a ) > a ).
thf(func_def_324,type,
sK194: produc981471411ee_a_a > produc143150363Tree_a > ( tree_a > a > set_Pr1070816379Tree_a ) > tree_a ).
thf(func_def_325,type,
sK195: ( tree_a > a > $o ) > ( a > tree_a > tree_a ) > ( tree_a > $o ) > tree_a ).
thf(func_def_326,type,
sK196: ( tree_a > a > $o ) > ( a > tree_a > tree_a ) > ( tree_a > $o ) > a ).
thf(func_def_327,type,
sK197: ( tree_a > a > $o ) > ( a > tree_a > produc981471411ee_a_a ) > ( produc981471411ee_a_a > $o ) > a ).
thf(func_def_328,type,
sK198: ( tree_a > a > $o ) > ( a > tree_a > produc981471411ee_a_a ) > ( produc981471411ee_a_a > $o ) > tree_a ).
thf(func_def_329,type,
sK199: ( a > a > $o ) > a ).
thf(func_def_330,type,
sK200: ( a > a > $o ) > a ).
thf(func_def_331,type,
sK201: ( a > a > $o ) > a ).
thf(func_def_332,type,
sK202: ( a > a > $o ) > a ).
thf(func_def_333,type,
sK203: ( a > $o ) > a > a ).
thf(func_def_334,type,
sK204: ( produc981471411ee_a_a > $o ) > a ).
thf(func_def_335,type,
sK205: ( produc981471411ee_a_a > $o ) > tree_a ).
thf(func_def_336,type,
sK206: tree_a > produc143150363Tree_a > a ).
thf(func_def_337,type,
sK207: produc143150363Tree_a > produc143150363Tree_a > ( a > tree_a > set_Pr1070816379Tree_a ) > tree_a ).
thf(func_def_338,type,
sK208: produc143150363Tree_a > produc143150363Tree_a > ( a > tree_a > set_Pr1070816379Tree_a ) > a ).
thf(func_def_339,type,
sK209: produc143150363Tree_a > ( a > tree_a > $o ) > a ).
thf(func_def_340,type,
sK210: produc143150363Tree_a > ( a > tree_a > $o ) > tree_a ).
thf(func_def_341,type,
sK211: ( produc143150363Tree_a > $o ) > ( a > tree_a > $o ) > a ).
thf(func_def_342,type,
sK212: ( produc143150363Tree_a > $o ) > ( a > tree_a > $o ) > tree_a ).
thf(f11,axiom,
is_heap_a @ e_a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_is__heap_Osimps_I1_J) ).
thf(f17,axiom,
! [X0: a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X0 @ e_a @ e_a ) )
= ( produc686083979Tree_a @ X0 @ e_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_removeLeaf_Osimps_I1_J) ).
thf(f30,axiom,
! [X1: tree_a,X0: a] :
( ( product_snd_a_Tree_a @ ( produc686083979Tree_a @ X0 @ X1 ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_snd__conv) ).
thf(f358,conjecture,
is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f359,negated_conjecture,
~ ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) ),
inference(negated_conjecture,[status(cth)],[f358]) ).
thf(f548,plain,
~ ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) ),
inference(rectify,[],[f359]) ).
thf(f549,plain,
( ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) )
!= $true ),
inference(fool_elimination,[],[f548]) ).
thf(f765,plain,
is_heap_a @ e_a,
inference(rectify,[],[f11]) ).
thf(f766,plain,
( ( is_heap_a @ e_a )
= $true ),
inference(fool_elimination,[],[f765]) ).
thf(f838,plain,
( ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) )
!= $true ),
inference(flattening,[],[f549]) ).
thf(f1347,plain,
! [X0: tree_a,X1: a] :
( ( product_snd_a_Tree_a @ ( produc686083979Tree_a @ X1 @ X0 ) )
= X0 ),
inference(rectify,[],[f30]) ).
thf(f1522,plain,
( ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f838]) ).
thf(f1734,plain,
! [X0: a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X0 @ e_a @ e_a ) )
= ( produc686083979Tree_a @ X0 @ e_a ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f1807,plain,
! [X0: tree_a,X1: a] :
( ( product_snd_a_Tree_a @ ( produc686083979Tree_a @ X1 @ X0 ) )
= X0 ),
inference(cnf_transformation,[],[f1347]) ).
thf(f1817,plain,
( ( is_heap_a @ e_a )
= $true ),
inference(cnf_transformation,[],[f766]) ).
thf(f2171,definition,
( spl213_18
<=> ( ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl213_18])],[avatar_definition]) ).
thf(f2173,plain,
( ( ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) )
!= $true )
| spl213_18 ),
inference(avatar_component_clause,[],[f2171]) ).
thf(f2174,plain,
~ spl213_18,
inference(avatar_split_clause,[],[f1522,f2171]) ).
thf(f2181,definition,
( spl213_20
<=> ( ( is_heap_a @ e_a )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl213_20])],[avatar_definition]) ).
thf(f2183,plain,
( ( ( is_heap_a @ e_a )
= $true )
| ~ spl213_20 ),
inference(avatar_component_clause,[],[f2181]) ).
thf(f2184,plain,
spl213_20,
inference(avatar_split_clause,[],[f1817,f2181]) ).
thf(f2299,plain,
( ( $true
!= ( is_heap_a @ ( product_snd_a_Tree_a @ ( produc686083979Tree_a @ v @ e_a ) ) ) )
| spl213_18 ),
inference(superposition,[],[f2173,f1734]) ).
thf(f2301,plain,
( ( ( is_heap_a @ e_a )
!= $true )
| spl213_18 ),
inference(forward_demodulation,[],[f2299,f1807]) ).
thf(f2302,plain,
( $false
| spl213_18
| ~ spl213_20 ),
inference(forward_subsumption_resolution,[],[f2301,f2183]) ).
thf(f2303,plain,
( spl213_18
| ~ spl213_20 ),
inference(avatar_contradiction_clause,[],[f2302]) ).
cnf(s21,plain,
~ spl213_18,
inference(sat_conversion,[],[f2174]) ).
cnf(s23,plain,
spl213_20,
inference(sat_conversion,[],[f2184]) ).
cnf(s57,plain,
( spl213_18
| ~ spl213_20 ),
inference(sat_conversion,[],[f2303]) ).
cnf(s58,plain,
spl213_18,
inference(rat,[],[s57,s23]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s21,s58]) ).
thf(f2304,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP071^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 19:46:19 UTC 2026
% 0.00/0.12 % CPUTime :
% 0.00/0.12 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.14 Running higher-order theorem proving
% 0.09/0.18 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
% 0.40/0.26 % (596200)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.40/0.26 % (596211)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.40/0.26 % (596211)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
% 0.40/0.26 % (596206)lrs+10_16_si=on:nwc=1.5:random_seed=4198377227:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.40/0.26 % (596207)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2533417155:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.40/0.26 % (596205)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3681944928:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.40/0.26 % (596209)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3875430891:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.40/0.26 % (596208)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=541615896: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)
% 0.40/0.26 % (596210)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3161862034:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.40/0.26 % (596211)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=2827417959:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.40/0.26 % (596207)Instruction limit reached!
% 0.40/0.26 % (596207)------------------------------
% 0.40/0.26 % (596207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596207)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596207)Termination reason: Instruction limit
% 0.40/0.26 % (596207)Termination phase: shuffling
% 0.40/0.26 % (596207)Time elapsed: 0.002 s
% 0.40/0.26 % (596207)Peak memory usage: 10 MB
% 0.40/0.26 % (596207)Instructions burned: 7 (million)
% 0.40/0.26 % (596206)Instruction limit reached!
% 0.40/0.26 % (596206)------------------------------
% 0.40/0.26 % (596206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596206)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596206)Termination reason: Instruction limit
% 0.40/0.26 % (596206)Termination phase: shuffling
% 0.40/0.26 % (596206)Time elapsed: 0.005 s
% 0.40/0.26 % (596206)Peak memory usage: 10 MB
% 0.40/0.26 % (596206)Instructions burned: 21 (million)
% 0.40/0.26 % (596209)Instruction limit reached!
% 0.40/0.26 % (596209)------------------------------
% 0.40/0.26 % (596209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596209)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596209)Termination reason: Instruction limit
% 0.40/0.26 % (596209)Termination phase: shuffling
% 0.40/0.26 % (596209)Time elapsed: 0.006 s
% 0.40/0.26 % (596209)Peak memory usage: 10 MB
% 0.40/0.26 % (596209)Instructions burned: 25 (million)
% 0.40/0.26 % (596219)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3440204851:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.40/0.26 % (596219)Instruction limit reached!
% 0.40/0.26 % (596219)------------------------------
% 0.40/0.26 % (596219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596219)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596219)Termination reason: Instruction limit
% 0.40/0.26 % (596219)Termination phase: shuffling
% 0.40/0.26 % (596219)Time elapsed: 0.001 s
% 0.40/0.26 % (596219)Peak memory usage: 10 MB
% 0.40/0.26 % (596219)Instructions burned: 3 (million)
% 0.40/0.26 % (596221)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.40/0.26 % (596221)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3006048819:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.40/0.26 % (596220)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3284939725:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.40/0.26 % (596210)Instruction limit reached!
% 0.40/0.26 % (596210)------------------------------
% 0.40/0.26 % (596210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596210)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596210)Termination reason: Instruction limit
% 0.40/0.26 % (596210)Termination phase: Preprocessing 3
% 0.40/0.26 % (596210)Time elapsed: 0.019 s
% 0.40/0.26 % (596210)Peak memory usage: 12 MB
% 0.40/0.26 % (596210)Instructions burned: 76 (million)
% 0.40/0.26 % (596221)Instruction limit reached!
% 0.40/0.26 % (596221)------------------------------
% 0.40/0.26 % (596221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596221)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596221)Termination reason: Instruction limit
% 0.40/0.26 % (596221)Termination phase: shuffling
% 0.40/0.26 % (596221)Time elapsed: 0.002 s
% 0.40/0.26 % (596221)Peak memory usage: 10 MB
% 0.40/0.26 % (596221)Instructions burned: 10 (million)
% 0.40/0.26 % (596220)Instruction limit reached!
% 0.40/0.26 % (596220)------------------------------
% 0.40/0.26 % (596220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596220)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596220)Termination reason: Instruction limit
% 0.40/0.26 % (596220)Termination phase: shuffling
% 0.40/0.26 % (596220)Time elapsed: 0.002 s
% 0.40/0.26 % (596220)Peak memory usage: 10 MB
% 0.40/0.26 % (596220)Instructions burned: 7 (million)
% 0.40/0.26 % (596205)Instruction limit reached!
% 0.40/0.26 % (596205)------------------------------
% 0.40/0.26 % (596205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596205)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596205)Termination reason: Instruction limit
% 0.40/0.26 % (596205)Termination phase: Property scanning
% 0.40/0.26 % (596205)Time elapsed: 0.022 s
% 0.40/0.26 % (596205)Peak memory usage: 12 MB
% 0.40/0.26 % (596205)Instructions burned: 91 (million)
% 0.40/0.26 % (596223)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2273016062:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.40/0.26 % (596226)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
% 0.40/0.26 % (596226)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.40/0.26 % (596226)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=461283384:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.40/0.26 % (596223)Instruction limit reached!
% 0.40/0.26 % (596223)------------------------------
% 0.40/0.26 % (596223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596223)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596223)Termination reason: Instruction limit
% 0.40/0.26 % (596223)Termination phase: shuffling
% 0.40/0.26 % (596223)Time elapsed: 0.003 s
% 0.40/0.26 % (596223)Peak memory usage: 10 MB
% 0.40/0.26 % (596223)Instructions burned: 12 (million)
% 0.40/0.26 % (596227)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=2939222902:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.40/0.26 % (596228)lrs+10_1_si=on:cs=on:random_seed=162931810:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.40/0.26 % (596229)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.40/0.26 % (596229)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=3227301004:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.40/0.26 % (596228)Instruction limit reached!
% 0.40/0.26 % (596228)------------------------------
% 0.40/0.26 % (596228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596228)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596228)Termination reason: Instruction limit
% 0.40/0.26 % (596228)Termination phase: shuffling
% 0.40/0.26 % (596228)Time elapsed: 0.002 s
% 0.40/0.26 % (596228)Peak memory usage: 10 MB
% 0.40/0.26 % (596228)Instructions burned: 8 (million)
% 0.40/0.26 % (596226)Instruction limit reached!
% 0.40/0.26 % (596226)------------------------------
% 0.40/0.26 % (596226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596226)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596226)Termination reason: Instruction limit
% 0.40/0.26 % (596226)Termination phase: shuffling
% 0.40/0.26 % (596226)Time elapsed: 0.007 s
% 0.40/0.26 % (596226)Peak memory usage: 11 MB
% 0.40/0.26 % (596226)Instructions burned: 30 (million)
% 0.40/0.26 % (596211)Instruction limit reached!
% 0.40/0.26 % (596211)------------------------------
% 0.40/0.26 % (596211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596211)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596211)Termination reason: Instruction limit
% 0.40/0.26 % (596211)Termination phase: Saturation
% 0.40/0.26 % (596211)Time elapsed: 0.036 s
% 0.40/0.26 % (596211)Peak memory usage: 13 MB
% 0.40/0.26 % (596211)Instructions burned: 158 (million)
% 0.40/0.26 % (596229)Instruction limit reached!
% 0.40/0.26 % (596229)------------------------------
% 0.40/0.26 % (596229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596229)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596229)Termination reason: Instruction limit
% 0.40/0.26 % (596229)Termination phase: shuffling
% 0.40/0.26 % (596229)Time elapsed: 0.004 s
% 0.40/0.26 % (596229)Peak memory usage: 10 MB
% 0.40/0.26 % (596229)Instructions burned: 17 (million)
% 0.40/0.26 % (596233)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2481470706:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.40/0.26 % (596236)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=867456067:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.40/0.26 % (596208) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-596200-596208"...
% 0.40/0.26 % (596237)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2169932941:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.40/0.26 % (596208)...printing done.
% 0.40/0.26 % (596238)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3149435008:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.40/0.26 % (596239)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3119304652:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.40/0.26 % (596208)Refutation found. Thanks to Tanya!
% 0.40/0.26 % SZS status Theorem for theBenchmark
% 0.40/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.26 % (596208)------------------------------
% 0.40/0.26 % (596208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.26 % (596208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.26 % (596208)CaDiCaL version: 2.1.3
% 0.40/0.26 % (596208)Termination reason: Refutation
% 0.40/0.26 % (596208)Time elapsed: 0.047 s
% 0.40/0.26 % (596208)Peak memory usage: 15 MB
% 0.40/0.26 % (596208)Instructions burned: 187 (million)
% 0.40/0.26 % (596200)Success in time 0.071 s
% 0.40/0.26 % Vampire exiting
%------------------------------------------------------------------------------