TSTP Solution File: NUM924_3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM924_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:07:15 EDT 2022
% Result : Theorem 6.91s 1.37s
% Output : Refutation 7.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 165
% Syntax : Number of formulae : 369 ( 227 unt; 136 typ; 0 def)
% Number of atoms : 249 ( 198 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 41 ( 25 ~; 10 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 159 ( 89 >; 70 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 111 ( 111 usr; 28 con; 0-3 aty)
% Number of variables : 217 ( 217 !; 0 ?; 217 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
real: $tType ).
tff(type_def_9,type,
fun_bool_bool: $tType ).
tff(type_def_10,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_11,type,
fun_int_bool: $tType ).
tff(type_def_12,type,
fun_int_int: $tType ).
tff(type_def_13,type,
fun_in531499254l_bool: $tType ).
tff(type_def_14,type,
fun_int_fun_int_bool: $tType ).
tff(type_def_15,type,
fun_nat_bool: $tType ).
tff(type_def_16,type,
fun_nat_int: $tType ).
tff(type_def_17,type,
fun_nat_nat: $tType ).
tff(type_def_18,type,
fun_nat_real: $tType ).
tff(type_def_19,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_20,type,
fun_real_bool: $tType ).
tff(type_def_21,type,
fun_real_real: $tType ).
tff(type_def_22,type,
fun_re413263731l_bool: $tType ).
tff(type_def_23,type,
product_prod_int_int: $tType ).
tff(func_def_0,type,
cOMBB_1652995168ol_int: ( fun_bo1549164019l_bool * fun_int_bool ) > fun_in531499254l_bool ).
tff(func_def_1,type,
cOMBC_int_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(func_def_2,type,
cOMBS_int_bool_bool: ( fun_in531499254l_bool * fun_int_bool ) > fun_int_bool ).
tff(func_def_3,type,
div_mod_int: int > fun_int_int ).
tff(func_def_4,type,
div_mod_nat: nat > fun_nat_nat ).
tff(func_def_5,type,
minus_minus_int: int > fun_int_int ).
tff(func_def_6,type,
minus_minus_nat: nat > fun_nat_nat ).
tff(func_def_7,type,
minus_minus_real: real > fun_real_real ).
tff(func_def_8,type,
one_one_int: int ).
tff(func_def_9,type,
one_one_nat: nat ).
tff(func_def_10,type,
one_one_real: real ).
tff(func_def_11,type,
plus_plus_int: int > fun_int_int ).
tff(func_def_12,type,
plus_plus_nat: nat > fun_nat_nat ).
tff(func_def_13,type,
plus_plus_real: real > fun_real_real ).
tff(func_def_14,type,
times_times_int: int > fun_int_int ).
tff(func_def_15,type,
times_times_nat: nat > fun_nat_nat ).
tff(func_def_16,type,
times_times_real: real > fun_real_real ).
tff(func_def_17,type,
zero_zero_int: int ).
tff(func_def_18,type,
zero_zero_nat: nat ).
tff(func_def_19,type,
zero_zero_real: real ).
tff(func_def_20,type,
multInv: ( int * int ) > int ).
tff(func_def_21,type,
d22set: int > fun_int_bool ).
tff(func_def_22,type,
zfact: int > int ).
tff(func_def_23,type,
zcong: ( int * int ) > fun_int_bool ).
tff(func_def_24,type,
zprime: fun_int_bool ).
tff(func_def_25,type,
bit0: int > int ).
tff(func_def_26,type,
bit1: int > int ).
tff(func_def_27,type,
min: int ).
tff(func_def_28,type,
pls: int ).
tff(func_def_29,type,
number_number_of_int: int > int ).
tff(func_def_30,type,
number_number_of_nat: int > nat ).
tff(func_def_31,type,
number267125858f_real: int > real ).
tff(func_def_32,type,
ord_less_int: fun_int_fun_int_bool ).
tff(func_def_33,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(func_def_34,type,
ord_less_real: fun_re413263731l_bool ).
tff(func_def_35,type,
ord_less_eq_int: fun_int_fun_int_bool ).
tff(func_def_36,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_37,type,
ord_less_eq_real: fun_re413263731l_bool ).
tff(func_def_38,type,
power_power_int: int > fun_nat_int ).
tff(func_def_39,type,
power_power_nat: nat > fun_nat_nat ).
tff(func_def_40,type,
power_power_real: real > fun_nat_real ).
tff(func_def_41,type,
product_Pair_int_int: ( int * int ) > product_prod_int_int ).
tff(func_def_42,type,
legendre: ( int * int ) > int ).
tff(func_def_43,type,
quadRes: int > fun_int_bool ).
tff(func_def_44,type,
sr: int > fun_int_bool ).
tff(func_def_45,type,
standardRes: ( int * int ) > int ).
tff(func_def_46,type,
dvd_dvd_int: fun_int_fun_int_bool ).
tff(func_def_47,type,
dvd_dvd_nat: fun_nat_fun_nat_bool ).
tff(func_def_48,type,
dvd_dvd_real: fun_re413263731l_bool ).
tff(func_def_49,type,
collect_int: fun_int_bool > fun_int_bool ).
tff(func_def_50,type,
twoSqu820444569sum2sq: fun_int_bool ).
tff(func_def_51,type,
twoSqu949963151sum2sq: product_prod_int_int > int ).
tff(func_def_52,type,
inv: ( int * int ) > int ).
tff(func_def_53,type,
wset: ( int * int ) > fun_int_bool ).
tff(func_def_54,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_55,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_56,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_57,type,
hAPP_int_bool: ( fun_int_bool * int ) > bool ).
tff(func_def_58,type,
hAPP_int_int: ( fun_int_int * int ) > int ).
tff(func_def_59,type,
hAPP_i68813070l_bool: ( fun_in531499254l_bool * int ) > fun_bool_bool ).
tff(func_def_60,type,
hAPP_i1948725293t_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(func_def_61,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_62,type,
hAPP_nat_int: ( fun_nat_int * nat ) > int ).
tff(func_def_63,type,
hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(func_def_64,type,
hAPP_nat_real: ( fun_nat_real * nat ) > real ).
tff(func_def_65,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_66,type,
hAPP_real_bool: ( fun_real_bool * real ) > bool ).
tff(func_def_67,type,
hAPP_real_real: ( fun_real_real * real ) > real ).
tff(func_def_68,type,
hAPP_r1134773055l_bool: ( fun_re413263731l_bool * real ) > fun_real_bool ).
tff(func_def_69,type,
member_int: ( int * fun_int_bool ) > bool ).
tff(func_def_70,type,
m: int ).
tff(func_def_71,type,
s1: int ).
tff(func_def_72,type,
s: int ).
tff(func_def_73,type,
t: int ).
tff(func_def_74,type,
sK5: ( nat * nat ) > nat ).
tff(func_def_75,type,
sK6: ( real * nat ) > real ).
tff(func_def_76,type,
sK7: ( nat * nat * fun_nat_bool ) > nat ).
tff(func_def_77,type,
sK8: ( int * int ) > int ).
tff(func_def_78,type,
sK9: int > int ).
tff(func_def_79,type,
sK10: fun_nat_nat > nat ).
tff(func_def_80,type,
sK11: fun_nat_nat > nat ).
tff(func_def_81,type,
sK12: ( fun_int_bool * int ) > int ).
tff(func_def_82,type,
sK13: int ).
tff(func_def_83,type,
sK14: ( int * fun_int_bool ) > int ).
tff(func_def_84,type,
sK15: ( int * fun_int_bool ) > int ).
tff(func_def_85,type,
sK16: ( fun_int_bool * int * int ) > int ).
tff(func_def_86,type,
sK17: ( fun_int_bool * int * int ) > int ).
tff(func_def_87,type,
sK18: ( int * int * fun_int_bool ) > int ).
tff(func_def_88,type,
sK19: ( int * int * fun_int_bool ) > int ).
tff(func_def_89,type,
sK20: int > int ).
tff(func_def_90,type,
sK21: ( nat * nat ) > nat ).
tff(func_def_91,type,
sK22: int ).
tff(func_def_92,type,
sK23: ( fun_int_bool * int ) > int ).
tff(func_def_93,type,
sK24: ( int * int * int ) > int ).
tff(func_def_94,type,
sK25: ( fun_int_bool * int ) > int ).
tff(func_def_95,type,
sK26: int ).
tff(func_def_96,type,
sK27: ( int * int ) > int ).
tff(func_def_97,type,
sK28: ( nat * nat ) > nat ).
tff(func_def_98,type,
sK29: ( fun_nat_bool * nat ) > nat ).
tff(func_def_99,type,
sK30: ( int * int ) > int ).
tff(func_def_100,type,
sK31: ( int * fun_int_bool ) > int ).
tff(func_def_101,type,
sK32: fun_int_bool > int ).
tff(func_def_102,type,
sK33: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_103,type,
sK34: ( nat * fun_nat_bool ) > nat ).
tff(func_def_104,type,
sK35: int ).
tff(func_def_105,type,
sK36: int > int ).
tff(func_def_106,type,
sK37: int > int ).
tff(func_def_107,type,
sK38: ( nat * real ) > real ).
tff(func_def_108,type,
sK39: ( nat * nat * fun_nat_bool ) > nat ).
tff(func_def_109,type,
sK40: ( nat * nat * fun_nat_bool ) > nat ).
tff(func_def_110,type,
sK41: ( int * int ) > int ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sP0: ( int * bool * bool ) > $o ).
tff(pred_def_3,type,
sP1: ( int * int * fun_int_bool ) > $o ).
tff(pred_def_4,type,
sP2: ( fun_int_bool * int * int ) > $o ).
tff(pred_def_5,type,
sP3: ( bool * int * bool ) > $o ).
tff(pred_def_6,type,
sP4: ( nat * nat * fun_nat_bool ) > $o ).
tff(f9292,plain,
$false,
inference(subsumption_resolution,[],[f9291,f8914]) ).
tff(f8914,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int))),pls)),
inference(forward_demodulation,[],[f8913,f7510]) ).
tff(f7510,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))),t),
inference(backward_demodulation,[],[f7303,f5764]) ).
tff(f5764,plain,
! [X0: int] : ( number_number_of_int(X0) = X0 ),
inference(cnf_transformation,[],[f2168]) ).
tff(f2168,plain,
! [X0: int] : ( number_number_of_int(X0) = X0 ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X10: int] : ( number_number_of_int(X10) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_number__of__is__id) ).
tff(f7303,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),t),
inference(backward_demodulation,[],[f7103,f4660]) ).
tff(f4660,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(one_one_int),X0) = X0 ),
inference(cnf_transformation,[],[f1494]) ).
tff(f1494,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(one_one_int),X0) = X0 ),
inference(rectify,[],[f93]) ).
tff(f93,axiom,
! [X11: int] : ( hAPP_int_int(times_times_int(one_one_int),X11) = X11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_zmult__1) ).
tff(f7103,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7102,f6391]) ).
tff(f6391,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(X0),pls) = X0 ),
inference(definition_unfolding,[],[f5638,f4921]) ).
tff(f4921,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f173]) ).
tff(f173,axiom,
zero_zero_int = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_Pls__def) ).
tff(f5638,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(X0),zero_zero_int) = X0 ),
inference(cnf_transformation,[],[f2287]) ).
tff(f2287,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(X0),zero_zero_int) = X0 ),
inference(rectify,[],[f374]) ).
tff(f374,axiom,
! [X158: int] : ( hAPP_int_int(plus_plus_int(X158),zero_zero_int) = X158 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_373_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
tff(f7102,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),pls)))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7101,f6391]) ).
tff(f7101,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7100,f4414]) ).
tff(f4414,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X0)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),X0) ),
inference(cnf_transformation,[],[f1288]) ).
tff(f1288,plain,
! [X0: int,X1: int,X2: int] : ( hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X0)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),X0) ),
inference(rectify,[],[f133]) ).
tff(f133,axiom,
! [X17: int,X15: int,X16: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X15),X16)),X17) = hAPP_int_int(plus_plus_int(X15),hAPP_int_int(plus_plus_int(X16),X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_zadd__assoc) ).
tff(f7100,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7099,f5665]) ).
tff(f5665,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(pls),X0) = X0 ),
inference(cnf_transformation,[],[f2274]) ).
tff(f2274,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(pls),X0) = X0 ),
inference(rectify,[],[f181]) ).
tff(f181,axiom,
! [X10: int] : ( hAPP_int_int(plus_plus_int(pls),X10) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_add__Pls) ).
tff(f7099,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7098,f6963]) ).
tff(f6963,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(X3),hAPP_int_int(plus_plus_int(X2),hAPP_int_int(plus_plus_int(X0),X1))) = hAPP_int_int(plus_plus_int(X3),hAPP_int_int(plus_plus_int(X0),hAPP_int_int(plus_plus_int(X2),X1))) ),
inference(forward_demodulation,[],[f6955,f4414]) ).
tff(f6955,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(X3),hAPP_int_int(plus_plus_int(X0),hAPP_int_int(plus_plus_int(X2),X1))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3),X2)),hAPP_int_int(plus_plus_int(X0),X1)) ),
inference(backward_demodulation,[],[f5215,f4414]) ).
tff(f5215,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3),X0)),hAPP_int_int(plus_plus_int(X2),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3),X2)),hAPP_int_int(plus_plus_int(X0),X1)) ),
inference(cnf_transformation,[],[f3784]) ).
tff(f3784,plain,
! [X0: int,X1: int,X2: int,X3: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3),X0)),hAPP_int_int(plus_plus_int(X2),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X3),X2)),hAPP_int_int(plus_plus_int(X0),X1)) ),
inference(rectify,[],[f1548]) ).
tff(f1548,plain,
! [X3: int,X0: int,X1: int,X2: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X2),X3)),hAPP_int_int(plus_plus_int(X1),X0)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X2),X1)),hAPP_int_int(plus_plus_int(X3),X0)) ),
inference(rectify,[],[f349]) ).
tff(f349,axiom,
! [X149: int,X148: int,X146: int,X147: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X146),X147)),hAPP_int_int(plus_plus_int(X148),X149)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X146),X148)),hAPP_int_int(plus_plus_int(X147),X149)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) ).
tff(f7098,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7097,f4414]) ).
tff(f7097,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),pls)))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7096,f5665]) ).
tff(f7096,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7095,f4414]) ).
tff(f7095,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),pls)))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7094,f5665]) ).
tff(f7094,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7093,f6963]) ).
tff(f7093,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7092,f4414]) ).
tff(f7092,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7091,f5665]) ).
tff(f7091,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7090,f6963]) ).
tff(f7090,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7089,f4414]) ).
tff(f7089,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7088,f5665]) ).
tff(f7088,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7087,f5665]) ).
tff(f7087,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7086,f4414]) ).
tff(f7086,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7085,f4414]) ).
tff(f7085,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7084,f4414]) ).
tff(f7084,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7083,f6764]) ).
tff(f6764,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X1),X0)) = hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X0),X1)) ),
inference(forward_demodulation,[],[f6757,f5867]) ).
tff(f5867,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X0)),X1) = hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X0),X1)) ),
inference(cnf_transformation,[],[f2110]) ).
tff(f2110,plain,
! [X0: int,X1: int,X2: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X0)),X1) = hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X0),X1)) ),
inference(rectify,[],[f325]) ).
tff(f325,axiom,
! [X125: int,X126: int,X124: int] : ( hAPP_int_int(times_times_int(X124),hAPP_int_int(times_times_int(X125),X126)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X124),X125)),X126) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) ).
tff(f6757,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X1)),X0) = hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X0),X1)) ),
inference(backward_demodulation,[],[f5303,f5867]) ).
tff(f5303,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X0)),X1) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X1)),X0) ),
inference(cnf_transformation,[],[f3838]) ).
tff(f3838,plain,
! [X0: int,X1: int,X2: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X0)),X1) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X1)),X0) ),
inference(rectify,[],[f1802]) ).
tff(f1802,plain,
! [X1: int,X0: int,X2: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X0)),X1) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X2),X1)),X0) ),
inference(rectify,[],[f319]) ).
tff(f319,axiom,
! [X120: int,X119: int,X118: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X118),X119)),X120) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X118),X120)),X119) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_318_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J) ).
tff(f7083,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),t))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7082,f5328]) ).
tff(f5328,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(times_times_int(X0),hAPP_int_int(times_times_int(X1),X2)) = hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X0),X2)) ),
inference(cnf_transformation,[],[f3850]) ).
tff(f3850,plain,
! [X0: int,X1: int,X2: int] : ( hAPP_int_int(times_times_int(X0),hAPP_int_int(times_times_int(X1),X2)) = hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X0),X2)) ),
inference(rectify,[],[f1317]) ).
tff(f1317,plain,
! [X2: int,X1: int,X0: int] : ( hAPP_int_int(times_times_int(X2),hAPP_int_int(times_times_int(X1),X0)) = hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X2),X0)) ),
inference(rectify,[],[f328]) ).
tff(f328,axiom,
! [X129: int,X128: int,X127: int] : ( hAPP_int_int(times_times_int(X127),hAPP_int_int(times_times_int(X128),X129)) = hAPP_int_int(times_times_int(X128),hAPP_int_int(times_times_int(X127),X129)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
tff(f7082,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(m),t))),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f7081,f5867]) ).
tff(f7081,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),t)),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f6122,f4379]) ).
tff(f4379,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X2),X1)),X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X0)),hAPP_int_int(times_times_int(X1),X0)) ),
inference(cnf_transformation,[],[f3297]) ).
tff(f3297,plain,
! [X0: int,X1: int,X2: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X2),X1)),X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X0)),hAPP_int_int(times_times_int(X1),X0)) ),
inference(rectify,[],[f2170]) ).
tff(f2170,plain,
! [X2: int,X1: int,X0: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X0),X1)),X2) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X0),X2)),hAPP_int_int(times_times_int(X1),X2)) ),
inference(rectify,[],[f386]) ).
tff(f386,axiom,
! [X163: int,X164: int,X165: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X163),X164)),X165) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X163),X165)),hAPP_int_int(times_times_int(X164),X165)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_385_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) ).
tff(f6122,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t),
inference(definition_unfolding,[],[f4856,f5707,f5707,f5029]) ).
tff(f5029,plain,
! [X0: int] : ( bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0) ),
inference(cnf_transformation,[],[f2094]) ).
tff(f2094,plain,
! [X0: int] : ( bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0) ),
inference(rectify,[],[f237]) ).
tff(f237,axiom,
! [X10: int] : ( bit1(X10) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X10)),X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_Bit1__def) ).
tff(f5707,plain,
! [X0: int] : ( bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(cnf_transformation,[],[f1734]) ).
tff(f1734,plain,
! [X0: int] : ( bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(rectify,[],[f183]) ).
tff(f183,axiom,
! [X10: int] : ( bit0(X10) = hAPP_int_int(plus_plus_int(X10),X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_Bit0__def) ).
tff(f4856,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)),
inference(cnf_transformation,[],[f1069]) ).
tff(f1069,axiom,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1068__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).
tff(f8913,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))),t)),pls)),
inference(forward_demodulation,[],[f8912,f4254]) ).
tff(f4254,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),one_one_int) = X0 ),
inference(cnf_transformation,[],[f1911]) ).
tff(f1911,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),one_one_int) = X0 ),
inference(rectify,[],[f92]) ).
tff(f92,axiom,
! [X11: int] : ( hAPP_int_int(times_times_int(X11),one_one_int) = X11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_zmult__1__right) ).
tff(f8912,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),one_one_int)))))),t)),pls)),
inference(forward_demodulation,[],[f8911,f4660]) ).
tff(f8911,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),one_one_int))))))),t)),pls)),
inference(forward_demodulation,[],[f8910,f4200]) ).
tff(f4200,plain,
! [X2: int,X0: int,X1: int] : ( hAPP_int_int(times_times_int(X2),hAPP_int_int(plus_plus_int(X0),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X0)),hAPP_int_int(times_times_int(X2),X1)) ),
inference(cnf_transformation,[],[f3178]) ).
tff(f3178,plain,
! [X0: int,X1: int,X2: int] : ( hAPP_int_int(times_times_int(X2),hAPP_int_int(plus_plus_int(X0),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X2),X0)),hAPP_int_int(times_times_int(X2),X1)) ),
inference(rectify,[],[f1482]) ).
tff(f1482,plain,
! [X2: int,X1: int,X0: int] : ( hAPP_int_int(times_times_int(X0),hAPP_int_int(plus_plus_int(X2),X1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X0),X2)),hAPP_int_int(times_times_int(X0),X1)) ),
inference(rectify,[],[f380]) ).
tff(f380,axiom,
! [X160: int,X162: int,X161: int] : ( hAPP_int_int(times_times_int(X160),hAPP_int_int(plus_plus_int(X161),X162)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X160),X161)),hAPP_int_int(times_times_int(X160),X162)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_379_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) ).
tff(f8910,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),one_one_int))))))),t)),pls)),
inference(forward_demodulation,[],[f8909,f4200]) ).
tff(f8909,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),one_one_int))))))),t)),pls)),
inference(forward_demodulation,[],[f8902,f5328]) ).
tff(f8902,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(one_one_int),one_one_int))))))),t)),pls)),
inference(backward_demodulation,[],[f7517,f8901]) ).
tff(f8901,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X1),X1)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X0),X0)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X0)),hAPP_int_int(plus_plus_int(X1),X0)) ),
inference(forward_demodulation,[],[f8900,f4806]) ).
tff(f4806,plain,
! [X0: int] : ( hAPP_nat_int(power_power_int(X0),one_one_nat) = X0 ),
inference(cnf_transformation,[],[f1303]) ).
tff(f1303,plain,
! [X0: int] : ( hAPP_nat_int(power_power_int(X0),one_one_nat) = X0 ),
inference(rectify,[],[f587]) ).
tff(f587,axiom,
! [X282: int] : ( hAPP_nat_int(power_power_int(X282),one_one_nat) = X282 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_586_power__one__right) ).
tff(f8900,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X1),one_one_nat)),hAPP_nat_int(power_power_int(X1),one_one_nat))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X0),X0)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X0)),hAPP_int_int(plus_plus_int(X1),X0)) ),
inference(forward_demodulation,[],[f8899,f5214]) ).
tff(f5214,plain,
! [X2: int,X0: nat,X1: nat] : ( hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X2),X0)),hAPP_nat_int(power_power_int(X2),X1)) = hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(X0),X1)) ),
inference(cnf_transformation,[],[f3783]) ).
tff(f3783,plain,
! [X0: nat,X1: nat,X2: int] : ( hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X2),X0)),hAPP_nat_int(power_power_int(X2),X1)) = hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(X0),X1)) ),
inference(rectify,[],[f1246]) ).
tff(f1246,plain,
! [X1: nat,X2: nat,X0: int] : ( hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X0),X1)),hAPP_nat_int(power_power_int(X0),X2)) = hAPP_nat_int(power_power_int(X0),hAPP_nat_nat(plus_plus_nat(X1),X2)) ),
inference(rectify,[],[f404]) ).
tff(f404,axiom,
! [X174: int,X175: nat,X176: nat] : ( hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X174),X175)),hAPP_nat_int(power_power_int(X174),X176)) = hAPP_nat_int(power_power_int(X174),hAPP_nat_nat(plus_plus_nat(X175),X176)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_403_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J) ).
tff(f8899,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X0),X0)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X0)),hAPP_int_int(plus_plus_int(X1),X0)) ),
inference(forward_demodulation,[],[f8898,f4806]) ).
tff(f8898,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X0),one_one_nat)),hAPP_nat_int(power_power_int(X0),one_one_nat))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X0)),hAPP_int_int(plus_plus_int(X1),X0)) ),
inference(forward_demodulation,[],[f8897,f5214]) ).
tff(f8897,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),X0)),hAPP_int_int(plus_plus_int(X1),X0)) ),
inference(forward_demodulation,[],[f8896,f4806]) ).
tff(f8896,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),one_one_nat)),hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),one_one_nat)) ),
inference(forward_demodulation,[],[f8895,f5214]) ).
tff(f8895,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)) ),
inference(forward_demodulation,[],[f8894,f6796]) ).
tff(f6796,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),
inference(forward_demodulation,[],[f6795,f6701]) ).
tff(f6701,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(backward_demodulation,[],[f6146,f6128]) ).
tff(f6128,plain,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(definition_unfolding,[],[f4865,f5707,f5029]) ).
tff(f4865,plain,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(cnf_transformation,[],[f266]) ).
tff(f266,axiom,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_one__add__one__is__two) ).
tff(f6146,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(definition_unfolding,[],[f4925,f5707,f5029]) ).
tff(f4925,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(cnf_transformation,[],[f1854]) ).
tff(f1854,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X0) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(rectify,[],[f194]) ).
tff(f194,axiom,
! [X68: int] : ( hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X68) = hAPP_int_int(plus_plus_int(X68),X68) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_semiring__mult__2) ).
tff(f6795,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),one_one_int)),
inference(forward_demodulation,[],[f6781,f6391]) ).
tff(f6781,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),pls))),
inference(backward_demodulation,[],[f6710,f6391]) ).
tff(f6710,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(backward_demodulation,[],[f6115,f6701]) ).
tff(f6115,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(definition_unfolding,[],[f4825,f5707,f5029]) ).
tff(f4825,plain,
number_number_of_nat(bit0(bit1(pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
inference(cnf_transformation,[],[f263]) ).
tff(f263,axiom,
number_number_of_nat(bit0(bit1(pls))) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_semiring__one__add__one__is__two) ).
tff(f8894,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int))) ),
inference(forward_demodulation,[],[f8893,f6391]) ).
tff(f8893,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),pls))))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),pls))))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),pls))),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),pls)))) ),
inference(forward_demodulation,[],[f8892,f6595]) ).
tff(f6595,plain,
! [X1: int] : ( pls = hAPP_int_int(times_times_int(pls),X1) ),
inference(equality_resolution,[],[f6290]) ).
tff(f6290,plain,
! [X0: int,X1: int] :
( ( pls = hAPP_int_int(times_times_int(X0),X1) )
| ( pls != X0 ) ),
inference(definition_unfolding,[],[f5340,f4921,f4921]) ).
tff(f5340,plain,
! [X0: int,X1: int] :
( ( zero_zero_int = hAPP_int_int(times_times_int(X0),X1) )
| ( zero_zero_int != X0 ) ),
inference(cnf_transformation,[],[f3856]) ).
tff(f3856,plain,
! [X0: int,X1: int] :
( ( ( zero_zero_int = X1 )
| ( zero_zero_int = X0 )
| ( zero_zero_int != hAPP_int_int(times_times_int(X0),X1) ) )
& ( ( zero_zero_int = hAPP_int_int(times_times_int(X0),X1) )
| ( ( zero_zero_int != X1 )
& ( zero_zero_int != X0 ) ) ) ),
inference(flattening,[],[f3855]) ).
tff(f3855,plain,
! [X0: int,X1: int] :
( ( ( zero_zero_int = X1 )
| ( zero_zero_int = X0 )
| ( zero_zero_int != hAPP_int_int(times_times_int(X0),X1) ) )
& ( ( zero_zero_int = hAPP_int_int(times_times_int(X0),X1) )
| ( ( zero_zero_int != X1 )
& ( zero_zero_int != X0 ) ) ) ),
inference(nnf_transformation,[],[f1929]) ).
tff(f1929,plain,
! [X0: int,X1: int] :
( ( ( zero_zero_int = X1 )
| ( zero_zero_int = X0 ) )
<=> ( zero_zero_int = hAPP_int_int(times_times_int(X0),X1) ) ),
inference(rectify,[],[f504]) ).
tff(f504,axiom,
! [X5: int,X159: int] :
( ( ( zero_zero_int = X159 )
| ( zero_zero_int = X5 ) )
<=> ( zero_zero_int = hAPP_int_int(times_times_int(X5),X159) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_503_mult__eq__0__iff) ).
tff(f8892,plain,
! [X0: int,X1: int] : ( hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))),hAPP_int_int(times_times_int(X1),X0)))) ),
inference(forward_demodulation,[],[f8891,f5764]) ).
tff(f8891,plain,
! [X0: int,X1: int] : ( hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))),hAPP_int_int(times_times_int(X1),X0)))) ),
inference(forward_demodulation,[],[f8890,f7120]) ).
tff(f7120,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(forward_demodulation,[],[f7119,f6793]) ).
tff(f6793,plain,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),
inference(forward_demodulation,[],[f6792,f6701]) ).
tff(f6792,plain,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),one_one_int)),
inference(forward_demodulation,[],[f6782,f6391]) ).
tff(f6782,plain,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),pls))),
inference(backward_demodulation,[],[f6711,f6391]) ).
tff(f6711,plain,
hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),
inference(backward_demodulation,[],[f6128,f6701]) ).
tff(f7119,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int))) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(forward_demodulation,[],[f7118,f6391]) ).
tff(f7118,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),pls)))) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(forward_demodulation,[],[f7117,f6391]) ).
tff(f7117,plain,
! [X0: int] : ( hAPP_int_int(plus_plus_int(X0),X0) = hAPP_int_int(times_times_int(X0),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls))))) ),
inference(forward_demodulation,[],[f7116,f4414]) ).
tff(f7116,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(forward_demodulation,[],[f7115,f5665]) ).
tff(f7115,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(forward_demodulation,[],[f7114,f5665]) ).
tff(f7114,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(forward_demodulation,[],[f7113,f4414]) ).
tff(f7113,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(forward_demodulation,[],[f6360,f4414]) ).
tff(f6360,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(definition_unfolding,[],[f5568,f5707,f5029]) ).
tff(f5568,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(cnf_transformation,[],[f1839]) ).
tff(f1839,plain,
! [X0: int] : ( hAPP_int_int(times_times_int(X0),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(X0),X0) ),
inference(rectify,[],[f199]) ).
tff(f199,axiom,
! [X70: int] : ( hAPP_int_int(times_times_int(X70),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(X70),X70) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_semiring__mult__2__right) ).
tff(f8890,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls)))))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls)))))),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls))))),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls))))) ),
inference(forward_demodulation,[],[f8889,f4414]) ).
tff(f8889,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(times_times_int(X1),X0)))) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) ),
inference(forward_demodulation,[],[f8888,f5867]) ).
tff(f8888,plain,
! [X0: int,X1: int] : ( hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),X0))) ),
inference(forward_demodulation,[],[f8887,f4414]) ).
tff(f8887,plain,
! [X0: int,X1: int] : ( hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),X0)) ),
inference(forward_demodulation,[],[f8886,f5665]) ).
tff(f8886,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1)),X0)) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) ),
inference(forward_demodulation,[],[f8885,f5665]) ).
tff(f8885,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),X1)),X0)) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))) ),
inference(forward_demodulation,[],[f8884,f4414]) ).
tff(f8884,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),X1)),X0)) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) ),
inference(forward_demodulation,[],[f5996,f4414]) ).
tff(f5996,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),X1)),X0)) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))) ),
inference(definition_unfolding,[],[f4548,f5707,f5029,f5707,f5029,f5707,f5029,f5707,f5029]) ).
tff(f4548,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1)),X0)) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(bit0(bit1(pls)))) ),
inference(cnf_transformation,[],[f2007]) ).
tff(f2007,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X1)),X0)) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X0)),number_number_of_nat(bit0(bit1(pls)))) ),
inference(rectify,[],[f245]) ).
tff(f245,axiom,
! [X84: int,X83: int] : ( hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X83),X84)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X83),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X84),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X83)),X84)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_power2__sum) ).
tff(f7517,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))),t)),pls)),
inference(backward_demodulation,[],[f7305,f5764]) ).
tff(f7305,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))),t)),pls)),
inference(forward_demodulation,[],[f7302,f4660]) ).
tff(f7302,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))),hAPP_int_int(times_times_int(one_one_int),t))),pls)),
inference(backward_demodulation,[],[f7252,f4660]) ).
tff(f7252,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(one_one_int),t))),pls)),
inference(forward_demodulation,[],[f7225,f6437]) ).
tff(f6437,plain,
! [X0: int] : ( pls = hAPP_int_int(times_times_int(X0),pls) ),
inference(definition_unfolding,[],[f5795,f4921,f4921]) ).
tff(f5795,plain,
! [X0: int] : ( zero_zero_int = hAPP_int_int(times_times_int(X0),zero_zero_int) ),
inference(cnf_transformation,[],[f2101]) ).
tff(f2101,plain,
! [X0: int] : ( zero_zero_int = hAPP_int_int(times_times_int(X0),zero_zero_int) ),
inference(rectify,[],[f368]) ).
tff(f368,axiom,
! [X156: int] : ( zero_zero_int = hAPP_int_int(times_times_int(X156),zero_zero_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
tff(f7225,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(times_times_int(m),pls))),
inference(backward_demodulation,[],[f7110,f6595]) ).
tff(f7110,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))))),
inference(forward_demodulation,[],[f7109,f6391]) ).
tff(f7109,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),pls))),
inference(backward_demodulation,[],[f6813,f6437]) ).
tff(f6813,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(forward_demodulation,[],[f6812,f5328]) ).
tff(f6812,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(forward_demodulation,[],[f6811,f6764]) ).
tff(f6811,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),one_one_int)))))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),one_one_int)))))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(forward_demodulation,[],[f6791,f6391]) ).
tff(f6791,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),pls))))))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(one_one_int),pls))))))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(backward_demodulation,[],[f6775,f6391]) ).
tff(f6775,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(forward_demodulation,[],[f6774,f6764]) ).
tff(f6774,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),t))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(forward_demodulation,[],[f6773,f5328]) ).
tff(f6773,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(m),t))),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(forward_demodulation,[],[f6772,f5867]) ).
tff(f6772,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),t)),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(forward_demodulation,[],[f6771,f6764]) ).
tff(f6771,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),t)),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),pls))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(forward_demodulation,[],[f6760,f5328]) ).
tff(f6760,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),t)),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(m),pls))),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(backward_demodulation,[],[f6732,f5867]) ).
tff(f6732,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),t)),hAPP_int_int(times_times_int(one_one_int),t))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),pls)),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(forward_demodulation,[],[f6728,f4379]) ).
tff(f6728,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),pls)),hAPP_int_int(times_times_int(one_one_int),pls)))),
inference(backward_demodulation,[],[f6718,f4379]) ).
tff(f6718,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),pls))),
inference(forward_demodulation,[],[f6703,f6701]) ).
tff(f6703,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),pls))),
inference(backward_demodulation,[],[f6681,f6128]) ).
tff(f6681,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),pls))),
inference(backward_demodulation,[],[f6119,f6146]) ).
tff(f6119,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),pls))),
inference(definition_unfolding,[],[f4846,f5707,f5707,f5029,f5707,f5707,f5029,f4921]) ).
tff(f4846,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
tff(f9291,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int))),pls)),
inference(forward_demodulation,[],[f9290,f9275]) ).
tff(f9275,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),
inference(forward_demodulation,[],[f9274,f9151]) ).
tff(f9151,plain,
twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))),
inference(backward_demodulation,[],[f7510,f5589]) ).
tff(f5589,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(X0),X1) = hAPP_int_int(plus_plus_int(X1),X0) ),
inference(cnf_transformation,[],[f1613]) ).
tff(f1613,plain,
! [X0: int,X1: int] : ( hAPP_int_int(plus_plus_int(X0),X1) = hAPP_int_int(plus_plus_int(X1),X0) ),
inference(rectify,[],[f135]) ).
tff(f135,axiom,
! [X9: int,X11: int] : ( hAPP_int_int(plus_plus_int(X9),X11) = hAPP_int_int(plus_plus_int(X11),X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_zadd__commute) ).
tff(f9274,plain,
hAPP_int_int(plus_plus_int(t),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),
inference(forward_demodulation,[],[f9273,f4660]) ).
tff(f9273,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),
inference(forward_demodulation,[],[f9272,f4806]) ).
tff(f9272,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(s),one_one_nat)),hAPP_nat_int(power_power_int(s),one_one_nat))),
inference(forward_demodulation,[],[f9271,f5214]) ).
tff(f9271,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),
inference(forward_demodulation,[],[f9270,f6796]) ).
tff(f9270,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))),
inference(forward_demodulation,[],[f9269,f6391]) ).
tff(f9269,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(one_one_int),pls))))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),pls))))),
inference(forward_demodulation,[],[f9268,f6595]) ).
tff(f9268,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))),
inference(forward_demodulation,[],[f9267,f7120]) ).
tff(f9267,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls)))))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls)))))),
inference(forward_demodulation,[],[f9266,f4414]) ).
tff(f9266,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(forward_demodulation,[],[f9265,f6963]) ).
tff(f9265,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),
inference(forward_demodulation,[],[f9264,f4414]) ).
tff(f9264,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(forward_demodulation,[],[f9263,f5764]) ).
tff(f9263,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),
inference(forward_demodulation,[],[f9262,f5665]) ).
tff(f9262,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(t),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(forward_demodulation,[],[f9261,f6764]) ).
tff(f9261,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),t))),
inference(forward_demodulation,[],[f9260,f5665]) ).
tff(f9260,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),t))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),
inference(forward_demodulation,[],[f9259,f5328]) ).
tff(f9259,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),hAPP_int_int(times_times_int(m),t))),
inference(forward_demodulation,[],[f9258,f5867]) ).
tff(f9258,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),m)),t)),
inference(forward_demodulation,[],[f9257,f4414]) ).
tff(f9257,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),m)),t)) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),
inference(forward_demodulation,[],[f9256,f4414]) ).
tff(f9256,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),t)) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(forward_demodulation,[],[f9255,f5589]) ).
tff(f9255,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(one_one_int),t)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),t)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int),
inference(forward_demodulation,[],[f9254,f5589]) ).
tff(f9254,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),t)),hAPP_int_int(times_times_int(one_one_int),t)),
inference(forward_demodulation,[],[f6307,f4379]) ).
tff(f6307,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t),
inference(definition_unfolding,[],[f5387,f5707,f5707,f5029,f5707,f5029]) ).
tff(f5387,plain,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
tff(f9290,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))),pls)),
inference(forward_demodulation,[],[f9289,f4806]) ).
tff(f9289,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(s),one_one_nat)),hAPP_nat_int(power_power_int(s),one_one_nat)))),pls)),
inference(forward_demodulation,[],[f9288,f5214]) ).
tff(f9288,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))),pls)),
inference(forward_demodulation,[],[f9287,f6796]) ).
tff(f9287,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))),pls)),
inference(forward_demodulation,[],[f9286,f6391]) ).
tff(f9286,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),pls)))))),pls)),
inference(forward_demodulation,[],[f9285,f6595]) ).
tff(f9285,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))))),pls)),
inference(forward_demodulation,[],[f9284,f7120]) ).
tff(f9284,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),pls))))))),pls)),
inference(forward_demodulation,[],[f9283,f4414]) ).
tff(f9283,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),pls)),
inference(forward_demodulation,[],[f9282,f5665]) ).
tff(f9282,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),pls)),
inference(forward_demodulation,[],[f9281,f5665]) ).
tff(f9281,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))))),pls)),
inference(forward_demodulation,[],[f9280,f4414]) ).
tff(f9280,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),pls)),
inference(forward_demodulation,[],[f9279,f4414]) ).
tff(f9279,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))),pls)),
inference(forward_demodulation,[],[f6096,f5589]) ).
tff(f6096,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int)),pls)),
inference(definition_unfolding,[],[f4767,f5707,f5029,f4921]) ).
tff(f4767,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(cnf_transformation,[],[f2161]) ).
tff(f2161,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(flattening,[],[f1206]) ).
tff(f1206,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(negated_conjecture,[],[f1205]) ).
tff(f1205,conjecture,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM924_3 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:16:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.59 % (12175)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.59 % (12183)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.20/0.60 % (12167)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.20/0.60 % (12187)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.39/0.62 % (12174)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.62 % (12162)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.62 % (12164)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.62 % (12166)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.39/0.62 % (12190)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.39/0.62 % (12163)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.39/0.62 % (12165)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.63 % (12181)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.39/0.63 % (12168)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.39/0.63 % (12182)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.39/0.63 % (12169)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.39/0.63 % (12169)Instruction limit reached!
% 1.39/0.63 % (12169)------------------------------
% 1.39/0.63 % (12169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.63 % (12169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.63 % (12169)Termination reason: Unknown
% 1.39/0.63 % (12169)Termination phase: shuffling
% 1.39/0.63
% 1.39/0.63 % (12169)Memory used [KB]: 2430
% 1.39/0.63 % (12169)Time elapsed: 0.003 s
% 1.39/0.63 % (12169)Instructions burned: 2 (million)
% 1.39/0.63 % (12169)------------------------------
% 1.39/0.63 % (12169)------------------------------
% 1.39/0.63 % (12188)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.39/0.64 % (12173)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.39/0.64 % (12179)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.64 % (12161)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.39/0.64 % (12180)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.64 % (12171)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.64 % (12185)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.39/0.65 % (12172)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.63/0.65 % (12176)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.63/0.65 % (12189)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.63/0.65 % (12168)Instruction limit reached!
% 1.63/0.65 % (12168)------------------------------
% 1.63/0.65 % (12168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.65 % (12168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.65 % (12168)Termination reason: Unknown
% 1.63/0.65 % (12168)Termination phase: Preprocessing 1
% 1.63/0.65
% 1.63/0.65 % (12168)Memory used [KB]: 3326
% 1.63/0.65 % (12168)Time elapsed: 0.007 s
% 1.63/0.65 % (12168)Instructions burned: 8 (million)
% 1.63/0.65 % (12168)------------------------------
% 1.63/0.65 % (12168)------------------------------
% 1.63/0.65 % (12186)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.63/0.66 % (12162)Instruction limit reached!
% 1.63/0.66 % (12162)------------------------------
% 1.63/0.66 % (12162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.66 % (12162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.66 % (12162)Termination reason: Unknown
% 1.63/0.66 % (12162)Termination phase: Property scanning
% 1.63/0.66
% 1.63/0.66 % (12162)Memory used [KB]: 5628
% 1.63/0.66 % (12162)Time elapsed: 0.033 s
% 1.63/0.66 % (12162)Instructions burned: 52 (million)
% 1.63/0.66 % (12162)------------------------------
% 1.63/0.66 % (12162)------------------------------
% 1.63/0.66 % (12178)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.63/0.66 % (12184)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.63/0.67 % (12177)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.63/0.67 % (12170)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.70 % (12187)Instruction limit reached!
% 1.63/0.70 % (12187)------------------------------
% 1.63/0.70 % (12187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.70 % (12163)Instruction limit reached!
% 1.63/0.70 % (12163)------------------------------
% 1.63/0.70 % (12163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.70 % (12167)Instruction limit reached!
% 1.63/0.70 % (12167)------------------------------
% 1.63/0.70 % (12167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.71 % (12166)Instruction limit reached!
% 1.63/0.71 % (12166)------------------------------
% 1.63/0.71 % (12166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.71 % (12164)Instruction limit reached!
% 1.63/0.71 % (12164)------------------------------
% 1.63/0.71 % (12164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.71 % (12175)Instruction limit reached!
% 1.63/0.71 % (12175)------------------------------
% 1.63/0.71 % (12175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.71 % (12167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.71 % (12167)Termination reason: Unknown
% 1.63/0.71 % (12167)Termination phase: Property scanning
% 1.63/0.71
% 1.63/0.71 % (12167)Memory used [KB]: 5756
% 1.63/0.71 % (12167)Time elapsed: 0.036 s
% 1.63/0.71 % (12167)Instructions burned: 51 (million)
% 1.63/0.71 % (12167)------------------------------
% 1.63/0.71 % (12167)------------------------------
% 1.63/0.72 % (12187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.72 % (12187)Termination reason: Unknown
% 1.63/0.72 % (12187)Termination phase: Property scanning
% 1.63/0.72
% 1.63/0.72 % (12187)Memory used [KB]: 5756
% 1.63/0.72 % (12187)Time elapsed: 0.034 s
% 1.63/0.72 % (12187)Instructions burned: 70 (million)
% 1.63/0.72 % (12187)------------------------------
% 1.63/0.72 % (12187)------------------------------
% 1.63/0.72 % (12163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.72 % (12163)Termination reason: Unknown
% 1.63/0.72 % (12163)Termination phase: Preprocessing 3
% 1.63/0.72
% 1.63/0.72 % (12163)Memory used [KB]: 4861
% 1.63/0.72 % (12163)Time elapsed: 0.024 s
% 1.63/0.72 % (12163)Instructions burned: 37 (million)
% 1.63/0.72 % (12163)------------------------------
% 1.63/0.72 % (12163)------------------------------
% 1.63/0.72 % (12175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.72 % (12175)Termination reason: Unknown
% 1.63/0.72 % (12175)Termination phase: Property scanning
% 1.63/0.72
% 1.63/0.72 % (12175)Memory used [KB]: 5628
% 1.63/0.72 % (12175)Time elapsed: 0.041 s
% 1.63/0.72 % (12175)Instructions burned: 69 (million)
% 1.63/0.72 % (12175)------------------------------
% 1.63/0.72 % (12175)------------------------------
% 1.63/0.73 % (12166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.73 % (12166)Termination reason: Unknown
% 1.63/0.73 % (12166)Termination phase: Property scanning
% 1.63/0.73
% 1.63/0.73 % (12166)Memory used [KB]: 5756
% 1.63/0.73 % (12166)Time elapsed: 0.026 s
% 1.63/0.73 % (12166)Instructions burned: 48 (million)
% 1.63/0.73 % (12166)------------------------------
% 1.63/0.73 % (12166)------------------------------
% 1.63/0.73 % (12164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.73 % (12164)Termination reason: Unknown
% 1.63/0.73 % (12164)Termination phase: Property scanning
% 1.63/0.73
% 1.63/0.73 % (12164)Memory used [KB]: 5628
% 1.63/0.73 % (12164)Time elapsed: 0.027 s
% 1.63/0.73 % (12164)Instructions burned: 53 (million)
% 1.63/0.73 % (12164)------------------------------
% 1.63/0.73 % (12164)------------------------------
% 1.63/0.73 % (12191)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 1.63/0.73 % (12178)Instruction limit reached!
% 1.63/0.73 % (12178)------------------------------
% 1.63/0.73 % (12178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.73 % (12178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.73 % (12178)Termination reason: Unknown
% 1.63/0.73 % (12178)Termination phase: Property scanning
% 1.63/0.73
% 1.63/0.73 % (12178)Memory used [KB]: 5756
% 1.63/0.73 % (12178)Time elapsed: 0.034 s
% 1.63/0.73 % (12178)Instructions burned: 60 (million)
% 1.63/0.73 % (12178)------------------------------
% 1.63/0.73 % (12178)------------------------------
% 1.63/0.73 % (12165)Instruction limit reached!
% 1.63/0.73 % (12165)------------------------------
% 1.63/0.73 % (12165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.73 % (12165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.73 % (12165)Termination reason: Unknown
% 1.63/0.73 % (12165)Termination phase: Property scanning
% 1.63/0.73
% 1.63/0.73 % (12165)Memory used [KB]: 5756
% 1.63/0.73 % (12165)Time elapsed: 0.030 s
% 1.63/0.73 % (12165)Instructions burned: 51 (million)
% 1.63/0.73 % (12165)------------------------------
% 1.63/0.73 % (12165)------------------------------
% 2.28/0.74 % (12171)Instruction limit reached!
% 2.28/0.74 % (12171)------------------------------
% 2.28/0.74 % (12171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.74 % (12171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.74 % (12171)Termination reason: Unknown
% 2.28/0.74 % (12171)Termination phase: Property scanning
% 2.28/0.74
% 2.28/0.74 % (12171)Memory used [KB]: 5756
% 2.28/0.74 % (12171)Time elapsed: 0.027 s
% 2.28/0.74 % (12171)Instructions burned: 51 (million)
% 2.28/0.74 % (12171)------------------------------
% 2.28/0.74 % (12171)------------------------------
% 2.28/0.77 % (12179)Instruction limit reached!
% 2.28/0.77 % (12179)------------------------------
% 2.28/0.77 % (12179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.77 % (12192)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.28/0.77 % (12176)Instruction limit reached!
% 2.28/0.77 % (12176)------------------------------
% 2.28/0.77 % (12176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.77 % (12170)Instruction limit reached!
% 2.28/0.77 % (12170)------------------------------
% 2.28/0.77 % (12170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.77 % (12170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.77 % (12170)Termination reason: Unknown
% 2.28/0.77 % (12170)Termination phase: Property scanning
% 2.28/0.77
% 2.28/0.77 % (12170)Memory used [KB]: 5756
% 2.28/0.77 % (12170)Time elapsed: 0.027 s
% 2.28/0.77 % (12170)Instructions burned: 52 (million)
% 2.28/0.77 % (12170)------------------------------
% 2.28/0.77 % (12170)------------------------------
% 2.28/0.78 % (12176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.78 % (12176)Termination reason: Unknown
% 2.28/0.78 % (12176)Termination phase: Function definition elimination
% 2.28/0.78
% 2.28/0.78 % (12176)Memory used [KB]: 5628
% 2.28/0.78 % (12176)Time elapsed: 0.036 s
% 2.28/0.78 % (12176)Instructions burned: 78 (million)
% 2.28/0.78 % (12176)------------------------------
% 2.28/0.78 % (12176)------------------------------
% 2.28/0.78 % (12193)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.55/0.79 % (12172)Instruction limit reached!
% 2.55/0.79 % (12172)------------------------------
% 2.55/0.79 % (12172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.79 % (12172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.79 % (12172)Termination reason: Unknown
% 2.55/0.79 % (12172)Termination phase: Property scanning
% 2.55/0.79
% 2.55/0.79 % (12172)Memory used [KB]: 5884
% 2.55/0.79 % (12172)Time elapsed: 0.044 s
% 2.55/0.79 % (12172)Instructions burned: 100 (million)
% 2.55/0.79 % (12172)------------------------------
% 2.55/0.79 % (12172)------------------------------
% 2.55/0.79 % (12179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.79 % (12179)Termination reason: Unknown
% 2.55/0.79 % (12179)Termination phase: Property scanning
% 2.55/0.79
% 2.55/0.79 % (12179)Memory used [KB]: 6012
% 2.55/0.79 % (12179)Time elapsed: 0.044 s
% 2.55/0.79 % (12179)Instructions burned: 100 (million)
% 2.55/0.79 % (12179)------------------------------
% 2.55/0.79 % (12179)------------------------------
% 2.55/0.79 % (12173)Instruction limit reached!
% 2.55/0.79 % (12173)------------------------------
% 2.55/0.79 % (12173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.79 % (12173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.79 % (12173)Termination reason: Unknown
% 2.55/0.79 % (12173)Termination phase: Property scanning
% 2.55/0.79
% 2.55/0.79 % (12173)Memory used [KB]: 5884
% 2.55/0.79 % (12173)Time elapsed: 0.046 s
% 2.55/0.79 % (12173)Instructions burned: 101 (million)
% 2.55/0.79 % (12173)------------------------------
% 2.55/0.79 % (12173)------------------------------
% 2.55/0.79 % (12180)Instruction limit reached!
% 2.55/0.79 % (12180)------------------------------
% 2.55/0.79 % (12180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.80 % (12174)Instruction limit reached!
% 2.55/0.80 % (12174)------------------------------
% 2.55/0.80 % (12174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.80 % (12174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.80 % (12174)Termination reason: Unknown
% 2.55/0.80 % (12174)Termination phase: Property scanning
% 2.55/0.80
% 2.55/0.80 % (12174)Memory used [KB]: 6012
% 2.55/0.80 % (12174)Time elapsed: 0.064 s
% 2.55/0.80 % (12174)Instructions burned: 100 (million)
% 2.55/0.80 % (12174)------------------------------
% 2.55/0.80 % (12174)------------------------------
% 2.55/0.82 % (12180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.82 % (12180)Termination reason: Unknown
% 2.55/0.82 % (12180)Termination phase: shuffling
% 2.55/0.82
% 2.55/0.82 % (12180)Memory used [KB]: 6012
% 2.55/0.82 % (12180)Time elapsed: 0.047 s
% 2.55/0.82 % (12180)Instructions burned: 101 (million)
% 2.55/0.82 % (12180)------------------------------
% 2.55/0.82 % (12180)------------------------------
% 2.55/0.83 % (12177)Instruction limit reached!
% 2.55/0.83 % (12177)------------------------------
% 2.55/0.83 % (12177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.83 % (12177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.83 % (12177)Termination reason: Unknown
% 2.55/0.83 % (12177)Termination phase: Property scanning
% 2.55/0.83
% 2.55/0.83 % (12177)Memory used [KB]: 5884
% 2.55/0.83 % (12177)Time elapsed: 0.045 s
% 2.55/0.83 % (12177)Instructions burned: 101 (million)
% 2.55/0.83 % (12177)------------------------------
% 2.55/0.83 % (12177)------------------------------
% 2.55/0.83 % (12182)Instruction limit reached!
% 2.55/0.83 % (12182)------------------------------
% 2.55/0.83 % (12182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.83 % (12182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.83 % (12182)Termination reason: Unknown
% 2.55/0.83 % (12182)Termination phase: Saturation
% 2.55/0.83
% 2.55/0.83 % (12182)Memory used [KB]: 10490
% 2.55/0.83 % (12182)Time elapsed: 0.099 s
% 2.55/0.83 % (12182)Instructions burned: 138 (million)
% 2.55/0.83 % (12182)------------------------------
% 2.55/0.83 % (12182)------------------------------
% 2.86/0.85 % (12196)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.86/0.85 % (12199)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.86/0.85 % (12197)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.89/0.86 % (12194)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.89/0.86 % (12198)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.89/0.86 % (12201)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.89/0.87 % (12195)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.89/0.88 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.89/0.88 % (12200)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.89/0.89 % (12202)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.89/0.89 % (12181)Instruction limit reached!
% 2.89/0.89 % (12181)------------------------------
% 2.89/0.89 % (12181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.89 % (12181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.89 % (12181)Termination reason: Unknown
% 2.89/0.89 % (12181)Termination phase: Saturation
% 2.89/0.89
% 2.89/0.89 % (12181)Memory used [KB]: 11001
% 2.89/0.89 % (12181)Time elapsed: 0.080 s
% 2.89/0.89 % (12181)Instructions burned: 176 (million)
% 2.89/0.89 % (12181)------------------------------
% 2.89/0.89 % (12181)------------------------------
% 2.89/0.90 % (12188)Instruction limit reached!
% 2.89/0.90 % (12188)------------------------------
% 2.89/0.90 % (12188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.90 % (12188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.90 % (12188)Termination reason: Unknown
% 2.89/0.90 % (12188)Termination phase: Saturation
% 2.89/0.90
% 2.89/0.90 % (12188)Memory used [KB]: 6524
% 2.89/0.90 % (12188)Time elapsed: 0.081 s
% 2.89/0.90 % (12188)Instructions burned: 177 (million)
% 2.89/0.90 % (12188)------------------------------
% 2.89/0.90 % (12188)------------------------------
% 2.89/0.91 % (12193)Instruction limit reached!
% 2.89/0.91 % (12193)------------------------------
% 2.89/0.91 % (12193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.91 % (12193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.91 % (12193)Termination reason: Unknown
% 2.89/0.91 % (12193)Termination phase: Function definition elimination
% 2.89/0.91
% 2.89/0.91 % (12193)Memory used [KB]: 5884
% 2.89/0.91 % (12193)Time elapsed: 0.042 s
% 2.89/0.91 % (12193)Instructions burned: 91 (million)
% 2.89/0.91 % (12193)------------------------------
% 2.89/0.91 % (12193)------------------------------
% 2.89/0.91 % (12203)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.09/0.92 % (12206)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.09/0.92 % (12207)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.09/0.93 % (12205)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.09/0.93 % (12204)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.17/0.95 % (12209)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.17/0.96 % (12211)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.17/0.96 % (12198)Instruction limit reached!
% 3.17/0.96 % (12198)------------------------------
% 3.17/0.96 % (12198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.96 % (12198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.96 % (12198)Termination reason: Unknown
% 3.17/0.96 % (12198)Termination phase: Property scanning
% 3.17/0.96
% 3.17/0.96 % (12198)Memory used [KB]: 5756
% 3.17/0.96 % (12198)Time elapsed: 0.032 s
% 3.17/0.96 % (12198)Instructions burned: 69 (million)
% 3.17/0.96 % (12198)------------------------------
% 3.17/0.96 % (12198)------------------------------
% 3.17/0.97 % (12210)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.17/0.97 % (12208)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.17/0.99 % (12201)Instruction limit reached!
% 3.17/0.99 % (12201)------------------------------
% 3.17/0.99 % (12201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.99 % (12201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.99 % (12201)Termination reason: Unknown
% 3.17/0.99 % (12201)Termination phase: Function definition elimination
% 3.17/0.99
% 3.17/0.99 % (12201)Memory used [KB]: 5756
% 3.17/0.99 % (12201)Time elapsed: 0.041 s
% 3.17/0.99 % (12201)Instructions burned: 90 (million)
% 3.17/0.99 % (12201)------------------------------
% 3.17/0.99 % (12201)------------------------------
% 3.48/1.04 % (12212)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.48/1.04 % (12213)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.48/1.05 % (12192)Instruction limit reached!
% 3.48/1.05 % (12192)------------------------------
% 3.48/1.05 % (12192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/1.05 % (12192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/1.05 % (12192)Termination reason: Unknown
% 3.48/1.05 % (12192)Termination phase: Saturation
% 3.48/1.05
% 3.48/1.05 % (12192)Memory used [KB]: 6908
% 3.48/1.05 % (12192)Time elapsed: 0.091 s
% 3.48/1.05 % (12192)Instructions burned: 211 (million)
% 3.48/1.05 % (12192)------------------------------
% 3.48/1.05 % (12192)------------------------------
% 3.48/1.06 % (12214)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.48/1.07 % (12208)Instruction limit reached!
% 3.48/1.07 % (12208)------------------------------
% 3.48/1.07 % (12208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/1.07 % (12208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/1.07 % (12208)Termination reason: Unknown
% 3.48/1.07 % (12208)Termination phase: Property scanning
% 3.48/1.07
% 3.48/1.07 % (12208)Memory used [KB]: 5756
% 3.48/1.07 % (12208)Time elapsed: 0.029 s
% 3.48/1.07 % (12208)Instructions burned: 69 (million)
% 3.48/1.07 % (12208)------------------------------
% 3.48/1.07 % (12208)------------------------------
% 3.75/1.09 % (12215)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 3.75/1.13 % (12216)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 3.75/1.13 % (12190)Instruction limit reached!
% 3.75/1.13 % (12190)------------------------------
% 3.75/1.13 % (12190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.75/1.13 % (12190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.75/1.13 % (12190)Termination reason: Unknown
% 3.75/1.13 % (12190)Termination phase: Saturation
% 3.75/1.13
% 3.75/1.13 % (12190)Memory used [KB]: 13560
% 3.75/1.13 % (12190)Time elapsed: 0.628 s
% 3.75/1.13 % (12190)Instructions burned: 355 (million)
% 3.75/1.13 % (12190)------------------------------
% 3.75/1.13 % (12190)------------------------------
% 5.75/1.18 % (12213)Instruction limit reached!
% 5.75/1.18 % (12213)------------------------------
% 5.75/1.18 % (12213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.75/1.18 % (12213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.75/1.18 % (12213)Termination reason: Unknown
% 5.75/1.18 % (12213)Termination phase: Function definition elimination
% 5.75/1.18
% 5.75/1.18 % (12213)Memory used [KB]: 5756
% 5.75/1.18 % (12213)Time elapsed: 0.042 s
% 5.75/1.18 % (12213)Instructions burned: 91 (million)
% 5.75/1.18 % (12213)------------------------------
% 5.75/1.18 % (12213)------------------------------
% 5.75/1.21 % (12217)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 6.19/1.24 % (12218)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.19/1.24 % (12191)Instruction limit reached!
% 6.19/1.24 % (12191)------------------------------
% 6.19/1.24 % (12191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.19/1.24 % (12191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.19/1.24 % (12191)Termination reason: Unknown
% 6.19/1.24 % (12191)Termination phase: Saturation
% 6.19/1.24
% 6.19/1.24 % (12191)Memory used [KB]: 11769
% 6.19/1.24 % (12191)Time elapsed: 0.559 s
% 6.19/1.24 % (12191)Instructions burned: 390 (million)
% 6.19/1.24 % (12191)------------------------------
% 6.19/1.24 % (12191)------------------------------
% 6.38/1.26 % (12219)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.38/1.27 % (12220)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 6.91/1.33 % (12189)Instruction limit reached!
% 6.91/1.33 % (12189)------------------------------
% 6.91/1.33 % (12189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.91/1.33 % (12189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.91/1.33 % (12189)Termination reason: Unknown
% 6.91/1.33 % (12189)Termination phase: Saturation
% 6.91/1.33
% 6.91/1.33 % (12189)Memory used [KB]: 13048
% 6.91/1.33 % (12189)Time elapsed: 0.206 s
% 6.91/1.33 % (12189)Instructions burned: 441 (million)
% 6.91/1.33 % (12189)------------------------------
% 6.91/1.33 % (12189)------------------------------
% 6.91/1.34 % (12184)First to succeed.
% 6.91/1.36 % (12221)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 6.91/1.37 % (12184)Refutation found. Thanks to Tanya!
% 6.91/1.37 % SZS status Theorem for theBenchmark
% 6.91/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 7.25/1.37 % (12184)------------------------------
% 7.25/1.37 % (12184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.25/1.37 % (12184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.25/1.37 % (12184)Termination reason: Refutation
% 7.25/1.37
% 7.25/1.37 % (12184)Memory used [KB]: 12920
% 7.25/1.37 % (12184)Time elapsed: 0.211 s
% 7.25/1.37 % (12184)Instructions burned: 449 (million)
% 7.25/1.37 % (12184)------------------------------
% 7.25/1.37 % (12184)------------------------------
% 7.25/1.37 % (12160)Success in time 1.009 s
%------------------------------------------------------------------------------