%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : ITP247_1 : TPTP v9.0.0. Released v8.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 Jun 21 05:12:18 AM UTC 2025
% Result : Theorem 140.02s 140.23s
% Output : Proof 140.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 11 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 71 ( 31 ~; 24 |; 1 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 21 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 18 con; 0-3 aty)
% Number of variables : 85 ( 75 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
tff(pp_type,type,
pp: bool > $o ).
tff(aa_nat_bool_type,type,
aa_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(aa_VEBT_VEBT_nat_type,type,
aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).
tff(aa_VEB5832953974749077948T_VEBT_type,type,
aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT ).
tff(summary_type,type,
summary: vEBT_VEBT ).
tff(vEBT_Node_type,type,
vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT ) > fun_VE3165209603783583043T_VEBT ).
tff(treeList_type,type,
treeList: list_VEBT_VEBT ).
tff(aa_nat_nat_type,type,
aa_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(m_type,type,
m: nat ).
tff(aa_nat_fun_nat_nat_type,type,
aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).
tff(na_type,type,
na: nat ).
tff(plus_plus_nat_type,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
tff(aa_Pro4773402355715522498at_nat_type,type,
aa_Pro4773402355715522498at_nat: ( fun_Pr7804344347641417161at_nat * product_prod_nat_nat ) > option4927543243414619207at_nat ).
tff(aa_nat7603221163087113075at_nat_type,type,
aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).
tff(ma_type,type,
ma: nat ).
tff(product_Pair_nat_nat_type,type,
product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).
tff(mi_type,type,
mi: nat ).
tff(some_P7363390416028606310at_nat_type,type,
some_P7363390416028606310at_nat: fun_Pr7804344347641417161at_nat ).
tff(vEBT_VEBT_height_type,type,
vEBT_VEBT_height: fun_VEBT_VEBT_nat ).
tff(aa_nat_fun_nat_bool_type,type,
aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(aa_nat_VEBT_VEBT_type,type,
aa_nat_VEBT_VEBT: ( fun_nat_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(aa_num_nat_type,type,
aa_num_nat: ( fun_num_nat * num ) > nat ).
tff(aa_num_num_type,type,
aa_num_num: ( fun_num_num * num ) > num ).
tff(one_type,type,
one: num ).
tff(bit0_type,type,
bit0: fun_num_num ).
tff(numeral_numeral_nat_type,type,
numeral_numeral_nat: fun_num_nat ).
tff(deg_type,type,
deg: nat ).
tff(divide_divide_nat_type,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
tff(xa_type,type,
xa: nat ).
tff(vEBT_VEBT_high_type,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
tff(nth_VEBT_VEBT_type,type,
nth_VEBT_VEBT: list_VEBT_VEBT > fun_nat_VEBT_VEBT ).
tff(one_one_nat_type,type,
one_one_nat: nat ).
tff(ord_less_eq_nat_type,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(aa_set8260762808118238015T_bool_type,type,
aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).
tff(set_VEBT_VEBT2_type,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
tff(member_VEBT_VEBT_type,type,
member_VEBT_VEBT: vEBT_VEBT > fun_se448528567104302406T_bool ).
tff(vEBT_invar_vebt_type,type,
vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).
tff(1,plain,
( ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) )
<=> ( deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233__C4_Ohyps_C_I4_J) ).
tff(3,plain,
deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m) = deg,
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList) = vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),
inference(monotonicity,[status(thm)],[4]) ).
tff(6,plain,
aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary) = aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary),
inference(monotonicity,[status(thm)],[5]) ).
tff(7,plain,
aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary) = aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary),
inference(symmetry,[status(thm)],[6]) ).
tff(8,plain,
aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary)) = aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)),
inference(monotonicity,[status(thm)],[7]) ).
tff(9,plain,
aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)) = aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary)),
inference(symmetry,[status(thm)],[8]) ).
tff(10,plain,
aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary))) = aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary))),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary))))
<=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary)))) ),
inference(monotonicity,[status(thm)],[10]) ).
tff(12,plain,
( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary))))
<=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)))) ),
inference(symmetry,[status(thm)],[11]) ).
tff(13,plain,
( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary))))
<=> ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)))) ),
inference(monotonicity,[status(thm)],[12]) ).
tff(14,plain,
( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary))))
<=> ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary)))) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,axiom,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(16,plain,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),deg,treeList),summary)))),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)))),
inference(modus_ponens,[status(thm)],[16,13]) ).
tff(18,plain,
( pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),set_VEBT_VEBT2(treeList)))
<=> pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),set_VEBT_VEBT2(treeList))) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,axiom,
( pp(aa_nat_bool(vEBT_invar_vebt(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),na))
& pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),set_VEBT_VEBT2(treeList))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_413__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_An_A_092_060and_062_AtreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_A_092_060in_062_Aset_AtreeList_092_060close_062) ).
tff(20,plain,
pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),set_VEBT_VEBT2(treeList))),
inference(and_elim,[status(thm)],[19]) ).
tff(21,plain,
pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),set_VEBT_VEBT2(treeList))),
inference(modus_ponens,[status(thm)],[20,18]) ).
tff(22,plain,
^ [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
refl(( ( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) )
<=> ( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ) )),
inference(bind,[status(th)],[]) ).
tff(23,plain,
( ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) )
<=> ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,plain,
( ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) )
<=> ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,plain,
^ [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
rewrite(( ( pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) )
<=> ( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ) )),
inference(bind,[status(th)],[]) ).
tff(26,plain,
( ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) )
<=> ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,axiom,
! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_height__compose__child) ).
tff(28,plain,
! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ),
inference(modus_ponens,[status(thm)],[28,24]) ).
tff(30,plain,
! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ),
inference(skolemize,[status(sab)],[29]) ).
tff(31,plain,
! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) ),
inference(modus_ponens,[status(thm)],[30,23]) ).
tff(32,plain,
( ( ~ ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) )
| ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),set_VEBT_VEBT2(treeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)))) )
<=> ( ~ ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) )
| ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),set_VEBT_VEBT2(treeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,plain,
( ~ ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) )
| ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),set_VEBT_VEBT2(treeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(34,plain,
( ~ ! [T: vEBT_VEBT,TreeList: list_VEBT_VEBT,Info: option4927543243414619207at_nat,Deg: nat,Summary: vEBT_VEBT] :
( ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(T),set_VEBT_VEBT2(TreeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,T))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(Info,Deg,TreeList),Summary)))) )
| ~ pp(aa_set8260762808118238015T_bool(member_VEBT_VEBT(aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),set_VEBT_VEBT2(treeList)))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)))) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_nat_VEBT_VEBT(nth_VEBT_VEBT(treeList),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))))),aa_VEBT_VEBT_nat(vEBT_VEBT_height,aa_VEB5832953974749077948T_VEBT(vEBT_Node(aa_Pro4773402355715522498at_nat(some_P7363390416028606310at_nat,aa_nat7603221163087113075at_nat(product_Pair_nat_nat(mi),ma)),aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),treeList),summary)))),
inference(unit_resolution,[status(thm)],[34,31,21]) ).
tff(36,plain,
$false,
inference(unit_resolution,[status(thm)],[35,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP247_1 : TPTP v9.0.0. Released v8.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 19 18:35:24 EDT 2025
% 0.12/0.33 % CPUTime :
% 140.02/140.23 % SZS status Theorem
% 140.02/140.23 % SZS output start Proof
% See solution above
% 141.01/141.18 % E exiting
%------------------------------------------------------------------------------