TSTP Solution File: ITP245_1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP245_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 : Sat May 4 08:09:59 EDT 2024
% Result : Theorem 43.09s 14.06s
% Output : CNFRefutation 43.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 49
% Syntax : Number of formulae : 65 ( 8 unt; 45 typ; 0 def)
% Number of atoms : 68 ( 28 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 68 ( 20 ~; 34 |; 13 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 15 ( 14 usr)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 17 con; 0-4 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
nat: $tType ).
tff(decl_sort2,type,
fun_nat_fun_nat_nat: $tType ).
tff(decl_sort3,type,
fun_nat_nat: $tType ).
tff(decl_sort4,type,
fun_nat_bool: $tType ).
tff(decl_sort5,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort6,type,
num: $tType ).
tff(decl_sort7,type,
bool: $tType ).
tff(decl_sort8,type,
list_VEBT_VEBT: $tType ).
tff(decl_sort9,type,
fun_num_nat: $tType ).
tff(decl_sort10,type,
option4927543243414619207at_nat: $tType ).
tff(decl_sort11,type,
product_prod_nat_nat: $tType ).
tff(decl_sort12,type,
fun_num_num: $tType ).
tff(decl_sort13,type,
vEBT_VEBT: $tType ).
tff(decl_sort14,type,
fun_na1476630412504255114at_nat: $tType ).
tff(decl_1079,type,
one_one_nat: nat ).
tff(decl_1236,type,
nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(decl_1264,type,
suc: fun_nat_nat ).
tff(decl_1299,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
tff(decl_1333,type,
bit0: fun_num_num ).
tff(decl_1335,type,
one: num ).
tff(decl_1343,type,
numeral_numeral_nat: fun_num_nat ).
tff(decl_1354,type,
some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).
tff(decl_1390,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(decl_1410,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(decl_1475,type,
product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).
tff(decl_1550,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
tff(decl_1713,type,
vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).
tff(decl_1716,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
tff(decl_1718,type,
vEBT_VEBT_low: fun_nat_fun_nat_nat ).
tff(decl_1735,type,
vEBT_vebt_member: vEBT_VEBT > fun_nat_bool ).
tff(decl_1876,type,
aa_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(decl_1878,type,
aa_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(decl_1881,type,
aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).
tff(decl_1904,type,
aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(decl_1906,type,
aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).
tff(decl_1937,type,
aa_num_nat: ( fun_num_nat * num ) > nat ).
tff(decl_1938,type,
aa_num_num: ( fun_num_num * num ) > num ).
tff(decl_2304,type,
pp: bool > $o ).
tff(decl_2305,type,
deg: nat ).
tff(decl_2306,type,
ia: nat ).
tff(decl_2308,type,
ma: nat ).
tff(decl_2309,type,
mi: nat ).
tff(decl_2311,type,
summary: vEBT_VEBT ).
tff(decl_2312,type,
treeList: list_VEBT_VEBT ).
tff(decl_2313,type,
xa: nat ).
tff(fact_50_member__inv,axiom,
! [X44: nat,X45: nat,X46: nat,X47: list_VEBT_VEBT,X48: vEBT_VEBT,X1: nat] :
( pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X44),X45)),X46,X47,X48)),X1))
=> ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X46))
& ( ( X1 = X44 )
| ( X1 = X45 )
| ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),X45))
& pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X44),X1))
& pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X46),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X47)))
& pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(X47,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X46),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X46),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ay02Qh9Jtp/E---3.1_13359.p',fact_50_member__inv) ).
tff(conj_0,conjecture,
( ( ia = mi )
| ( ia = ma )
| ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)))
& pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ay02Qh9Jtp/E---3.1_13359.p',conj_0) ).
tff(fact_340_Suc__1,axiom,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
file('/export/starexec/sandbox/tmp/tmp.Ay02Qh9Jtp/E---3.1_13359.p',fact_340_Suc__1) ).
tff(fact_2__092_060open_062x_A_060_Ai_A_092_060and_062_Avebt__member_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Ai_092_060close_062,axiom,
( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,xa),ia))
& pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ia)) ),
file('/export/starexec/sandbox/tmp/tmp.Ay02Qh9Jtp/E---3.1_13359.p',fact_2__092_060open_062x_A_060_Ai_A_092_060and_062_Avebt__member_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Ai_092_060close_062) ).
tff(c_0_4,plain,
! [X21545: nat,X21546: nat,X21547: nat,X21548: list_VEBT_VEBT,X21549: vEBT_VEBT,X21550: nat] :
( ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X21547))
| ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X21545),X21546)),X21547,X21548,X21549)),X21550)) )
& ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X21550),X21546))
| ( X21550 = X21545 )
| ( X21550 = X21546 )
| ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X21545),X21546)),X21547,X21548,X21549)),X21550)) )
& ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X21545),X21550))
| ( X21550 = X21545 )
| ( X21550 = X21546 )
| ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X21545),X21546)),X21547,X21548,X21549)),X21550)) )
& ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X21550),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X21547),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X21548)))
| ( X21550 = X21545 )
| ( X21550 = X21546 )
| ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X21545),X21546)),X21547,X21548,X21549)),X21550)) )
& ( pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(X21548,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X21550),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X21547),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X21550),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X21547),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
| ( X21550 = X21545 )
| ( X21550 = X21546 )
| ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X21545),X21546)),X21547,X21548,X21549)),X21550)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_50_member__inv])])])]) ).
tff(c_0_5,negated_conjecture,
~ ( ( ia = mi )
| ( ia = ma )
| ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)))
& pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
tcf(c_0_6,plain,
! [X3: nat,X2: nat,X13: list_VEBT_VEBT,X8: vEBT_VEBT,X4: nat,X1: nat] :
( pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(X13,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X2),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X2),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
| ( X1 = X3 )
| ( X1 = X4 )
| ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X2,X13,X8)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
inference(split_conjunct,[status(thm)],[fact_340_Suc__1]) ).
tff(c_0_8,negated_conjecture,
( ( ia != mi )
& ( ia != ma )
& ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)))
| ~ pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
tcf(c_0_9,plain,
! [X3: nat,X2: nat,X13: list_VEBT_VEBT,X8: vEBT_VEBT,X4: nat,X1: nat] :
( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X2),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(X13)))
| ( X1 = X3 )
| ( X1 = X4 )
| ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X3),X4)),X2,X13,X8)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_10,plain,
! [X3: nat,X2: nat,X13: list_VEBT_VEBT,X8: vEBT_VEBT,X4: nat,X1: nat] :
( ( X1 = X2 )
| ( X1 = X3 )
| pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(X13,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X4),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X4),aa_nat_nat(suc,one_one_nat)))))
| ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X2),X3)),X4,X13,X8)),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
tcf(c_0_11,plain,
pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList,summary)),ia)),
inference(split_conjunct,[status(thm)],[fact_2__092_060open_062x_A_060_Ai_A_092_060and_062_Avebt__member_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Ai_092_060close_062]) ).
tcf(c_0_12,negated_conjecture,
ia != mi,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_13,negated_conjecture,
ia != ma,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_14,plain,
! [X3: nat,X2: nat,X13: list_VEBT_VEBT,X8: vEBT_VEBT,X4: nat,X1: nat] :
( ( X1 = X2 )
| ( X1 = X3 )
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,X1),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X4),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(X13)))
| ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_Node(some_P7363390416028606310at_nat(aa_nat7603221163087113075at_nat(product_Pair_nat_nat(X2),X3)),X4,X13,X8)),X1)) ),
inference(rw,[status(thm)],[c_0_9,c_0_7]) ).
tcf(c_0_15,negated_conjecture,
( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),size_s6755466524823107622T_VEBT(treeList)))
| ~ pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_16,plain,
pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]) ).
tcf(c_0_17,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(treeList))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_12]),c_0_13]) ).
tcf(c_0_18,negated_conjecture,
( ~ pp(aa_nat_bool(vEBT_vebt_member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ia),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),size_s6755466524823107622T_VEBT(treeList))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_19,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_16,c_0_17,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP245_1 : TPTP v8.1.2. Released v8.0.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.30 % Computer : n010.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 12:06:48 EDT 2024
% 0.11/0.31 % CPUTime :
% 8.04/8.24 Running first-order model finding
% 8.04/8.24 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Ay02Qh9Jtp/E---3.1_13359.p
% 43.09/14.06 # Version: 3.1.0
% 43.09/14.06 # Preprocessing class: FMLLSMLLSSSNFFN.
% 43.09/14.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.09/14.06 # Starting new_bool_3 with 900s (3) cores
% 43.09/14.06 # Starting new_bool_1 with 900s (3) cores
% 43.09/14.06 # Starting sh5l with 300s (1) cores
% 43.09/14.06 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 43.09/14.06 # new_bool_3 with pid 13624 completed with status 0
% 43.09/14.06 # Result found by new_bool_3
% 43.09/14.06 # Preprocessing class: FMLLSMLLSSSNFFN.
% 43.09/14.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.09/14.06 # Starting new_bool_3 with 900s (3) cores
% 43.09/14.06 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 43.09/14.06 # Search class: FGHSM-SMLM32-DFFFFFNN
% 43.09/14.06 # Scheduled 13 strats onto 3 cores with 899 seconds (899 total)
% 43.09/14.06 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 43.09/14.06 # Starting new_bool_3 with 90s (1) cores
% 43.09/14.06 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 43.09/14.06 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 13633 completed with status 0
% 43.09/14.06 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 43.09/14.06 # Preprocessing class: FMLLSMLLSSSNFFN.
% 43.09/14.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.09/14.06 # Starting new_bool_3 with 900s (3) cores
% 43.09/14.06 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 43.09/14.06 # Search class: FGHSM-SMLM32-DFFFFFNN
% 43.09/14.06 # Scheduled 13 strats onto 3 cores with 899 seconds (899 total)
% 43.09/14.06 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 43.09/14.06 # Starting new_bool_3 with 90s (1) cores
% 43.09/14.06 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 43.09/14.06 # Preprocessing time : 0.138 s
% 43.09/14.06 # SatCheck found unsatisfiable ground set
% 43.09/14.06
% 43.09/14.06 # Proof found!
% 43.09/14.06 # SZS status Theorem
% 43.09/14.06 # SZS output start CNFRefutation
% See solution above
% 43.09/14.06 # Parsed axioms : 14008
% 43.09/14.06 # Removed by relevancy pruning/SinE : 9935
% 43.09/14.06 # Initial clauses : 10681
% 43.09/14.06 # Removed in clause preprocessing : 2030
% 43.09/14.06 # Initial clauses in saturation : 8651
% 43.09/14.06 # Processed clauses : 6852
% 43.09/14.06 # ...of these trivial : 342
% 43.09/14.06 # ...subsumed : 1510
% 43.09/14.06 # ...remaining for further processing : 5000
% 43.09/14.06 # Other redundant clauses eliminated : 1890
% 43.09/14.06 # Clauses deleted for lack of memory : 0
% 43.09/14.06 # Backward-subsumed : 61
% 43.09/14.06 # Backward-rewritten : 84
% 43.09/14.06 # Generated clauses : 143216
% 43.09/14.06 # ...of the previous two non-redundant : 126198
% 43.09/14.06 # ...aggressively subsumed : 0
% 43.09/14.06 # Contextual simplify-reflections : 44
% 43.09/14.06 # Paramodulations : 141278
% 43.09/14.06 # Factorizations : 33
% 43.09/14.06 # NegExts : 0
% 43.09/14.06 # Equation resolutions : 1974
% 43.09/14.06 # Disequality decompositions : 0
% 43.09/14.06 # Total rewrite steps : 53021
% 43.09/14.06 # ...of those cached : 44977
% 43.09/14.06 # Propositional unsat checks : 1
% 43.09/14.06 # Propositional check models : 0
% 43.09/14.06 # Propositional check unsatisfiable : 1
% 43.09/14.06 # Propositional clauses : 132048
% 43.09/14.06 # Propositional clauses after purity: 63748
% 43.09/14.06 # Propositional unsat core size : 3
% 43.09/14.06 # Propositional preprocessing time : 0.000
% 43.09/14.06 # Propositional encoding time : 0.315
% 43.09/14.06 # Propositional solver time : 0.029
% 43.09/14.06 # Success case prop preproc time : 0.000
% 43.09/14.06 # Success case prop encoding time : 0.315
% 43.09/14.06 # Success case prop solver time : 0.029
% 43.09/14.06 # Current number of processed clauses : 4051
% 43.09/14.06 # Positive orientable unit clauses : 616
% 43.09/14.06 # Positive unorientable unit clauses: 50
% 43.09/14.06 # Negative unit clauses : 160
% 43.09/14.06 # Non-unit-clauses : 3225
% 43.09/14.06 # Current number of unprocessed clauses: 127997
% 43.09/14.06 # ...number of literals in the above : 422924
% 43.09/14.06 # Current number of archived formulas : 0
% 43.09/14.06 # Current number of archived clauses : 145
% 43.09/14.06 # Clause-clause subsumption calls (NU) : 1133112
% 43.09/14.06 # Rec. Clause-clause subsumption calls : 716185
% 43.09/14.06 # Non-unit clause-clause subsumptions : 1471
% 43.09/14.06 # Unit Clause-clause subsumption calls : 11387
% 43.09/14.06 # Rewrite failures with RHS unbound : 0
% 43.09/14.06 # BW rewrite match attempts : 6833
% 43.09/14.06 # BW rewrite match successes : 340
% 43.09/14.06 # Condensation attempts : 0
% 43.09/14.06 # Condensation successes : 0
% 43.09/14.06 # Termbank termtop insertions : 6821255
% 43.09/14.06 # Search garbage collected termcells : 208187
% 43.09/14.06
% 43.09/14.06 # -------------------------------------------------
% 43.09/14.06 # User time : 4.656 s
% 43.09/14.06 # System time : 0.205 s
% 43.09/14.06 # Total time : 4.861 s
% 43.09/14.06 # Maximum resident set size: 57936 pages
% 43.09/14.06
% 43.09/14.06 # -------------------------------------------------
% 43.09/14.06 # User time : 12.701 s
% 43.09/14.06 # System time : 0.324 s
% 43.09/14.06 # Total time : 13.025 s
% 43.09/14.06 # Maximum resident set size: 31232 pages
% 43.09/14.06 % E---3.1 exiting
%------------------------------------------------------------------------------