TSTP Solution File: NUM924_3 by SPASS+T---2.2.22
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : NUM924_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n029.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 : 600s
% DateTime : Mon Jul 18 14:39:29 EDT 2022
% Result : Theorem 44.38s 29.58s
% Output : Refutation 44.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 34
% Syntax : Number of clauses : 88 ( 30 unt; 0 nHn; 88 RR)
% Number of literals : 180 ( 0 equ; 101 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 9 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
int(m),
file('NUM924_3.p',unknown),
[] ).
cnf(20,axiom,
int(pls),
file('NUM924_3.p',unknown),
[] ).
cnf(21,axiom,
int(min),
file('NUM924_3.p',unknown),
[] ).
cnf(27,axiom,
nat(one_one_nat),
file('NUM924_3.p',unknown),
[] ).
cnf(28,axiom,
int(one_one_int),
file('NUM924_3.p',unknown),
[] ).
cnf(55,axiom,
equal(zero_zero_int,pls),
file('NUM924_3.p',unknown),
[] ).
cnf(109,axiom,
equal(number_number_of_int(bit1(pls)),one_one_int),
file('NUM924_3.p',unknown),
[] ).
cnf(138,axiom,
( ~ int(U)
| fun_nat_int(power_power_int(U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(142,axiom,
( ~ int(U)
| int(bit1(U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(143,axiom,
( ~ int(U)
| int(bit0(U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(148,axiom,
( ~ int(U)
| fun_int_int(times_times_int(U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(150,axiom,
( ~ nat(U)
| fun_nat_nat(plus_plus_nat(U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(151,axiom,
( ~ int(U)
| fun_int_int(plus_plus_int(U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(174,axiom,
( ~ int(U)
| equal(number_number_of_int(U),U) ),
file('NUM924_3.p',unknown),
[] ).
cnf(243,axiom,
( ~ nat(U)
| equal(hAPP_nat_nat(times_times_nat(U),one_one_nat),U) ),
file('NUM924_3.p',unknown),
[] ).
cnf(254,axiom,
( ~ int(U)
| equal(hAPP_int_int(times_times_int(U),zero_zero_int),zero_zero_int) ),
file('NUM924_3.p',unknown),
[] ).
cnf(266,axiom,
equal(hAPP_int_int(plus_plus_int(one_one_int),one_one_int),number_number_of_int(bit0(bit1(pls)))),
file('NUM924_3.p',unknown),
[] ).
cnf(276,axiom,
equal(hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),number_number_of_nat(bit0(bit1(pls)))),
file('NUM924_3.p',unknown),
[] ).
cnf(302,axiom,
( ~ int(U)
| equal(hAPP_int_int(plus_plus_int(U),U),bit0(U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(309,axiom,
( ~ fun_nat_nat(U)
| ~ nat(V)
| nat(hAPP_nat_nat(U,V)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(310,axiom,
( ~ fun_nat_int(U)
| ~ nat(V)
| int(hAPP_nat_int(U,V)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(314,axiom,
( ~ fun_int_int(U)
| ~ int(V)
| int(hAPP_int_int(U,V)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(442,axiom,
( ~ int(U)
| equal(hAPP_nat_int(power_power_int(U),number_number_of_nat(bit0(bit1(pls)))),hAPP_int_int(times_times_int(U),U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(447,axiom,
( ~ int(U)
| equal(hAPP_int_int(times_times_int(U),number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(plus_plus_int(U),U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(452,axiom,
( ~ int(U)
| equal(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),U),hAPP_int_int(plus_plus_int(U),U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(455,axiom,
( ~ int(U)
| equal(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),number_number_of_int(U)),number_number_of_int(bit0(U))) ),
file('NUM924_3.p',unknown),
[] ).
cnf(459,axiom,
( ~ int(U)
| ~ int(V)
| equal(hAPP_int_int(plus_plus_int(U),V),hAPP_int_int(plus_plus_int(V),U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(476,axiom,
( ~ int(U)
| ~ int(V)
| equal(hAPP_int_int(times_times_int(U),V),hAPP_int_int(times_times_int(V),U)) ),
file('NUM924_3.p',unknown),
[] ).
cnf(516,axiom,
( ~ nat(U)
| equal(hAPP_nat_int(power_power_int(number_number_of_int(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),U)),one_one_int) ),
file('NUM924_3.p',unknown),
[] ).
cnf(554,axiom,
~ 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('NUM924_3.p',unknown),
[] ).
cnf(608,axiom,
( ~ int(U)
| ~ int(V)
| equal(hAPP_int_int(times_times_int(bit0(U)),V),bit0(hAPP_int_int(times_times_int(U),V))) ),
file('NUM924_3.p',unknown),
[] ).
cnf(685,axiom,
equal(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('NUM924_3.p',unknown),
[] ).
cnf(1020,axiom,
equal(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('NUM924_3.p',unknown),
[] ).
cnf(1391,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('NUM924_3.p',unknown),
[] ).
cnf(1811,plain,
( ~ int(U)
| equal(hAPP_int_int(times_times_int(U),pls),pls) ),
inference(rew,[status(thm),theory(equality)],[55,254]),
[iquote('0:Rew:55.0,254.1')] ).
cnf(1856,plain,
( ~ int(U)
| equal(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),U),number_number_of_int(bit0(U))) ),
inference(rew,[status(thm),theory(equality)],[266,455,174]),
[iquote('0:Rew:266.0,455.1,174.1,455.1')] ).
cnf(1857,plain,
( ~ int(U)
| equal(number_number_of_int(bit0(U)),bit0(U)) ),
inference(rew,[status(thm),theory(equality)],[1856,452,302]),
[iquote('0:Rew:1856.1,452.1,302.1,452.1')] ).
cnf(1860,plain,
( ~ int(U)
| equal(hAPP_int_int(times_times_int(U),number_number_of_int(bit0(bit1(pls)))),bit0(U)) ),
inference(rew,[status(thm),theory(equality)],[302,447]),
[iquote('0:Rew:302.1,447.1')] ).
cnf(1867,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)),pls)),
inference(rew,[status(thm),theory(equality)],[55,554]),
[iquote('0:Rew:55.0,554.0')] ).
cnf(2017,plain,
equal(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int))),
inference(rew,[status(thm),theory(equality)],[685,1020]),
[iquote('0:Rew:685.0,1020.0')] ).
cnf(2018,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int))),pls)),
inference(rew,[status(thm),theory(equality)],[2017,1867]),
[iquote('0:Rew:2017.0,1867.0')] ).
cnf(2126,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,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(bit0(bit0(bit1(pls))))),m)),one_one_int)),pls))),
inference(rew,[status(thm),theory(equality)],[685,1391,55]),
[iquote('0:Rew:685.0,1391.0,55.0,1391.0')] ).
cnf(2428,plain,
( ~ int(bit1(pls))
| equal(bit1(pls),one_one_int) ),
inference(spr,[status(thm),theory(equality)],[174,109]),
[iquote('0:SpR:174.1,109.0')] ).
cnf(2432,plain,
( ~ int(pls)
| equal(bit1(pls),one_one_int) ),
inference(res,[status(thm),theory(equality)],[142,2428]),
[iquote('0:Res:142.1,2428.0')] ).
cnf(2433,plain,
equal(bit1(pls),one_one_int),
inference(mrr,[status(thm)],[2432,20]),
[iquote('0:MRR:2432.0,20.0')] ).
cnf(2465,plain,
( ~ int(U)
| equal(hAPP_int_int(times_times_int(U),number_number_of_int(bit0(one_one_int))),bit0(U)) ),
inference(rew,[status(thm),theory(equality)],[2433,1860]),
[iquote('0:Rew:2433.0,1860.1')] ).
cnf(2478,plain,
( ~ int(U)
| equal(hAPP_nat_int(power_power_int(U),number_number_of_nat(bit0(one_one_int))),hAPP_int_int(times_times_int(U),U)) ),
inference(rew,[status(thm),theory(equality)],[2433,442]),
[iquote('0:Rew:2433.0,442.1')] ).
cnf(2485,plain,
( ~ nat(U)
| equal(hAPP_nat_int(power_power_int(number_number_of_int(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(one_one_int))),U)),one_one_int) ),
inference(rew,[status(thm),theory(equality)],[2433,516]),
[iquote('0:Rew:2433.0,516.1')] ).
cnf(2531,plain,
equal(hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),number_number_of_nat(bit0(one_one_int))),
inference(rew,[status(thm),theory(equality)],[2433,276]),
[iquote('0:Rew:2433.0,276.0')] ).
cnf(2746,plain,
( ~ fun_nat_nat(plus_plus_nat(one_one_nat))
| ~ nat(one_one_nat)
| nat(number_number_of_nat(bit0(one_one_int))) ),
inference(spr,[status(thm),theory(equality)],[2531,309]),
[iquote('0:SpR:2531.0,309.2')] ).
cnf(2757,plain,
nat(number_number_of_nat(bit0(one_one_int))),
inference(mrr,[status(thm)],[2746,150,27]),
[iquote('0:MRR:2746.0,2746.1,150.1,27.0')] ).
cnf(2941,plain,
( ~ int(one_one_int)
| ~ int(U)
| equal(hAPP_int_int(times_times_int(U),bit0(one_one_int)),bit0(U)) ),
inference(spr,[status(thm),theory(equality)],[1857,2465]),
[iquote('0:SpR:1857.1,2465.1')] ).
cnf(2942,plain,
( ~ int(U)
| equal(hAPP_int_int(times_times_int(U),bit0(one_one_int)),bit0(U)) ),
inference(mrr,[status(thm)],[2941,28]),
[iquote('0:MRR:2941.0,28.0')] ).
cnf(3665,plain,
( ~ int(U)
| ~ fun_nat_int(power_power_int(U))
| ~ nat(number_number_of_nat(bit0(one_one_int)))
| int(hAPP_int_int(times_times_int(U),U)) ),
inference(spr,[status(thm),theory(equality)],[2478,310]),
[iquote('0:SpR:2478.1,310.2')] ).
cnf(3678,plain,
( ~ int(U)
| int(hAPP_int_int(times_times_int(U),U)) ),
inference(mrr,[status(thm)],[3665,138,2757]),
[iquote('0:MRR:3665.1,3665.2,138.1,2757.0')] ).
cnf(4674,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,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(bit0(bit0(one_one_int)))),m)),one_one_int)),pls))),
inference(rew,[status(thm),theory(equality)],[2433,2126]),
[iquote('0:Rew:2433.0,2126.0')] ).
cnf(4799,plain,
( ~ nat(number_number_of_nat(bit0(one_one_int)))
| ~ nat(one_one_nat)
| equal(hAPP_nat_int(power_power_int(number_number_of_int(min)),number_number_of_nat(bit0(one_one_int))),one_one_int) ),
inference(spr,[status(thm),theory(equality)],[243,2485]),
[iquote('0:SpR:243.1,2485.1')] ).
cnf(4807,plain,
equal(hAPP_nat_int(power_power_int(number_number_of_int(min)),number_number_of_nat(bit0(one_one_int))),one_one_int),
inference(mrr,[status(thm)],[4799,2757,27]),
[iquote('0:MRR:4799.0,4799.1,2757.0,27.0')] ).
cnf(4823,plain,
( ~ int(min)
| equal(hAPP_nat_int(power_power_int(min),number_number_of_nat(bit0(one_one_int))),one_one_int) ),
inference(spr,[status(thm),theory(equality)],[174,4807]),
[iquote('0:SpR:174.1,4807.0')] ).
cnf(4825,plain,
equal(hAPP_nat_int(power_power_int(min),number_number_of_nat(bit0(one_one_int))),one_one_int),
inference(mrr,[status(thm)],[4823,21]),
[iquote('0:MRR:4823.0,21.0')] ).
cnf(4829,plain,
( ~ int(min)
| equal(hAPP_int_int(times_times_int(min),min),one_one_int) ),
inference(spr,[status(thm),theory(equality)],[4825,2478]),
[iquote('0:SpR:4825.0,2478.1')] ).
cnf(4835,plain,
equal(hAPP_int_int(times_times_int(min),min),one_one_int),
inference(mrr,[status(thm)],[4829,21]),
[iquote('0:MRR:4829.0,21.0')] ).
cnf(6997,plain,
( ~ int(U)
| ~ int(V)
| ~ fun_int_int(times_times_int(U))
| ~ int(V)
| int(hAPP_int_int(times_times_int(V),U)) ),
inference(spr,[status(thm),theory(equality)],[476,314]),
[iquote('0:SpR:476.2,314.2')] ).
cnf(7054,plain,
( ~ int(U)
| ~ fun_int_int(times_times_int(U))
| ~ int(V)
| int(hAPP_int_int(times_times_int(V),U)) ),
inference(obv,[status(thm),theory(equality)],[6997]),
[iquote('0:Obv:6997.1')] ).
cnf(7055,plain,
( ~ int(U)
| ~ int(V)
| int(hAPP_int_int(times_times_int(V),U)) ),
inference(mrr,[status(thm)],[7054,148]),
[iquote('0:MRR:7054.1,148.1')] ).
cnf(7173,plain,
( ~ int(U)
| ~ int(V)
| ~ fun_int_int(plus_plus_int(U))
| ~ int(V)
| int(hAPP_int_int(plus_plus_int(V),U)) ),
inference(spr,[status(thm),theory(equality)],[459,314]),
[iquote('0:SpR:459.2,314.2')] ).
cnf(7228,plain,
( ~ int(U)
| ~ fun_int_int(plus_plus_int(U))
| ~ int(V)
| int(hAPP_int_int(plus_plus_int(V),U)) ),
inference(obv,[status(thm),theory(equality)],[7173]),
[iquote('0:Obv:7173.1')] ).
cnf(7229,plain,
( ~ int(U)
| ~ int(V)
| int(hAPP_int_int(plus_plus_int(V),U)) ),
inference(mrr,[status(thm)],[7228,151]),
[iquote('0:MRR:7228.1,151.1')] ).
cnf(17527,plain,
( ~ int(U)
| ~ int(bit0(U))
| ~ int(bit0(U))
| int(bit0(hAPP_int_int(times_times_int(U),bit0(U)))) ),
inference(spr,[status(thm),theory(equality)],[608,3678]),
[iquote('0:SpR:608.2,3678.1')] ).
cnf(17541,plain,
( ~ int(U)
| ~ int(V)
| ~ int(V)
| ~ int(bit0(U))
| int(bit0(hAPP_int_int(times_times_int(U),V))) ),
inference(spr,[status(thm),theory(equality)],[608,7055]),
[iquote('0:SpR:608.2,7055.2')] ).
cnf(17555,plain,
( ~ int(U)
| ~ int(bit0(U))
| int(bit0(hAPP_int_int(times_times_int(U),bit0(U)))) ),
inference(obv,[status(thm),theory(equality)],[17527]),
[iquote('0:Obv:17527.1')] ).
cnf(17556,plain,
( ~ int(U)
| int(bit0(hAPP_int_int(times_times_int(U),bit0(U)))) ),
inference(mrr,[status(thm)],[17555,143]),
[iquote('0:MRR:17555.1,143.1')] ).
cnf(17557,plain,
( ~ int(U)
| ~ int(V)
| ~ int(bit0(U))
| int(bit0(hAPP_int_int(times_times_int(U),V))) ),
inference(obv,[status(thm),theory(equality)],[17541]),
[iquote('0:Obv:17541.1')] ).
cnf(17558,plain,
( ~ int(U)
| ~ int(V)
| int(bit0(hAPP_int_int(times_times_int(U),V))) ),
inference(mrr,[status(thm)],[17557,143]),
[iquote('0:MRR:17557.2,143.1')] ).
cnf(17610,plain,
( ~ int(one_one_int)
| ~ int(one_one_int)
| int(bit0(bit0(one_one_int))) ),
inference(spr,[status(thm),theory(equality)],[2942,17556]),
[iquote('0:SpR:2942.1,17556.1')] ).
cnf(17626,plain,
( ~ int(one_one_int)
| int(bit0(bit0(one_one_int))) ),
inference(obv,[status(thm),theory(equality)],[17610]),
[iquote('0:Obv:17610.0')] ).
cnf(17627,plain,
int(bit0(bit0(one_one_int))),
inference(mrr,[status(thm)],[17626,28]),
[iquote('0:MRR:17626.0,28.0')] ).
cnf(36140,plain,
( ~ int(min)
| ~ int(min)
| int(bit0(one_one_int)) ),
inference(spr,[status(thm),theory(equality)],[4835,17558]),
[iquote('0:SpR:4835.0,17558.2')] ).
cnf(36153,plain,
( ~ int(min)
| int(bit0(one_one_int)) ),
inference(obv,[status(thm),theory(equality)],[36140]),
[iquote('0:Obv:36140.0')] ).
cnf(36154,plain,
int(bit0(one_one_int)),
inference(mrr,[status(thm)],[36153,21]),
[iquote('0:MRR:36153.0,21.0')] ).
cnf(47204,plain,
( ~ int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(one_one_int)))),m)),one_one_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int))),pls)) ),
inference(spr,[status(thm),theory(equality)],[1811,4674]),
[iquote('0:SpR:1811.1,4674.0')] ).
cnf(47214,plain,
~ int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(one_one_int)))),m)),one_one_int)),
inference(mrr,[status(thm)],[47204,2018]),
[iquote('0:MRR:47204.1,2018.0')] ).
cnf(49590,plain,
( ~ int(one_one_int)
| ~ int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(one_one_int)))),m)) ),
inference(res,[status(thm),theory(equality)],[7229,47214]),
[iquote('0:Res:7229.2,47214.0')] ).
cnf(49591,plain,
~ int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(one_one_int)))),m)),
inference(mrr,[status(thm)],[49590,28]),
[iquote('0:MRR:49590.0,28.0')] ).
cnf(49618,plain,
( ~ int(m)
| ~ int(number_number_of_int(bit0(bit0(one_one_int)))) ),
inference(res,[status(thm),theory(equality)],[7055,49591]),
[iquote('0:Res:7055.2,49591.0')] ).
cnf(49619,plain,
~ int(number_number_of_int(bit0(bit0(one_one_int)))),
inference(mrr,[status(thm)],[49618,8]),
[iquote('0:MRR:49618.0,8.0')] ).
cnf(49635,plain,
( ~ int(bit0(one_one_int))
| ~ int(bit0(bit0(one_one_int))) ),
inference(spl,[status(thm),theory(equality)],[1857,49619]),
[iquote('0:SpL:1857.1,49619.0')] ).
cnf(49636,plain,
$false,
inference(mrr,[status(thm)],[49635,36154,17627]),
[iquote('0:MRR:49635.0,49635.1,36154.0,17627.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM924_3 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : spasst-tptp-script %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jul 7 05:17:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.42/0.59 % Using EUF theory
% 44.38/29.58
% 44.38/29.58
% 44.38/29.58 % SZS status Theorem for /tmp/SPASST_9086_n029.cluster.edu
% 44.38/29.58
% 44.38/29.58 SPASS V 2.2.22 in combination with yices.
% 44.38/29.58 SPASS beiseite: Proof found by SPASS.
% 44.38/29.58 Problem: /tmp/SPASST_9086_n029.cluster.edu
% 44.38/29.58 SPASS derived 33124 clauses, backtracked 2527 clauses and kept 12637 clauses.
% 44.38/29.58 SPASS backtracked 5 times (0 times due to theory inconsistency).
% 44.38/29.58 SPASS allocated 50106 KBytes.
% 44.38/29.58 SPASS spent 0:00:16.35 on the problem.
% 44.38/29.58 0:00:00.06 for the input.
% 44.38/29.58 0:00:00.38 for the FLOTTER CNF translation.
% 44.38/29.58 0:00:00.42 for inferences.
% 44.38/29.58 0:00:00.62 for the backtracking.
% 44.38/29.58 0:00:12.29 for the reduction.
% 44.38/29.58 0:00:00.46 for interacting with the SMT procedure.
% 44.38/29.58
% 44.38/29.58
% 44.38/29.58 % SZS output start CNFRefutation for /tmp/SPASST_9086_n029.cluster.edu
% See solution above
% 44.38/29.58
% 44.38/29.58 Formulae used in the proof : fof_sy_v_m fof_sy_c_Int_OPls fof_sy_c_Int_OMin fof_sy_c_Groups_Oone__class_Oone_000tc__Nat__Onat fof_sy_c_Groups_Oone__class_Oone_000tc__Int__Oint fof_fact_172_Pls__def fof_fact_160_one__is__num__one fof_sy_c_Power_Opower__class_Opower_000tc__Int__Oint fof_sy_c_Int_OBit1 fof_sy_c_Int_OBit0 fof_sy_c_Groups_Otimes__class_Otimes_000tc__Int__Oint fof_sy_c_Groups_Oplus__class_Oplus_000tc__Nat__Onat fof_sy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint fof_fact_34_number__of__is__id fof_fact_396_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J fof_fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J fof_fact_263_semiring__one__add__one__is__two fof_fact_87_nat__1__add__1 fof_fact_182_Bit0__def fof_sy_c_hAPP_000tc__Nat__Onat_000tc__Nat__Onat fof_sy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint fof_sy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint fof_fact_203_power2__eq__square fof_fact_198_semiring__mult__2__right fof_fact_193_semiring__mult__2 fof_fact_187_double__number__of__Bit0 fof_fact_134_zadd__commute fof_fact_35_zmult__commute fof_fact_600_power__m1__even fof_conj_0 fof_fact_89_mult__Bit0 fof_fact_1068__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096 fof_fact_3_t fof_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
% 50.16/35.35
% 50.16/35.35 SPASS+T ended
%------------------------------------------------------------------------------