0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.21 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.WqMwm8lCVs 0.20/0.41 % Computer : n004.cluster.edu 0.20/0.41 % Model : x86_64 x86_64 0.20/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.20/0.41 % Memory : 8042.1875MB 0.20/0.41 % OS : Linux 3.10.0-693.el7.x86_64 0.20/0.41 % CPULimit : 960 0.20/0.41 % DateTime : Thu Jul 2 08:28:44 EDT 2020 0.20/0.42 % CPUTime : 0.20/0.42 % Running portfolio for 120 s 0.20/0.42 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.20/0.42 % Number of cores: 8 0.20/0.42 % Python version: Python 3.6.8 0.20/0.42 % Running in HO mode 0.52/0.71 % Estimated wc time : 1286 0.52/0.71 % Estimated cpu time (7 cpus) : 183.71428571428572 0.61/0.77 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.61/0.79 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.61/0.80 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.61/0.82 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.61/0.82 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.61/0.82 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 0.61/0.82 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 70.79/10.85 % /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s 70.79/10.87 % Solved by lams/c.s.2.sh. 70.79/10.87 % Running : timeout 52 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.WqMwm8lCVs/e_input27f472 --cpu-limit=50 --auto-schedule -s -p. 70.79/10.87 % done 2544 iterations in 10.001s 70.79/10.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 70.79/10.87 % SZS output start Refutation 70.79/10.87 tff(fact_211_zadd__zmult__distrib2, axiom, 70.79/10.87 (![W:int,Z1:int,Z2:int]: 70.79/10.87 (times_times_int(W,plus_plus_int(Z1,Z2)) = 70.79/10.87 plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2))))). 70.79/10.87 tff('0', plain, 70.79/10.87 ![X946 : int, X947 : int, X948 : int]: 70.79/10.87 times_times_int(X946, plus_plus_int(X947, X948)) 70.79/10.87 = plus_plus_int(times_times_int(X946, X947), 70.79/10.87 times_times_int(X946, X948)), 70.79/10.87 inference('cnf', [status(esa)], [fact_211_zadd__zmult__distrib2])). 70.79/10.87 tff(fact_0_tpos, axiom, (ord_less_eq_int(one_one_int,t))). 70.79/10.87 tff('1', plain, ord_less_eq_int(one_one_int, t), 70.79/10.87 inference('cnf', [status(esa)], [fact_0_tpos])). 70.79/10.87 tff(fact_280_semiring__mult__2__right, axiom, 70.79/10.87 (![Z_3:int]: 70.79/10.87 (times_times_int(Z_3,number_number_of_int(bit0(bit1(pls)))) = 70.79/10.87 plus_plus_int(Z_3,Z_3)))). 70.79/10.87 tff('2', plain, 70.79/10.87 ![X1675 : int]: 70.79/10.87 times_times_int(X1675, number_number_of_int(bit0(bit1(pls)))) 70.79/10.87 = plus_plus_int(X1675, X1675), 70.79/10.87 inference('cnf', [status(esa)], [fact_280_semiring__mult__2__right])). 70.79/10.87 tff(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom, 70.79/10.87 ((t = one_one_int) => 70.79/10.87 (?[X:int,Y:int]: 70.79/10.87 (plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))), 70.79/10.87 power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = 70.79/10.87 plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), 70.79/10.87 m), 70.79/10.87 one_one_int))))). 70.79/10.87 tff('3', plain, 70.79/10.87 (plus_plus_int( 70.79/10.87 power_power_int(sk_X_1, number_number_of_nat(bit0(bit1(pls)))), 70.79/10.87 power_power_int(sk_Y, number_number_of_nat(bit0(bit1(pls))))) 70.79/10.87 = plus_plus_int( 70.79/10.87 times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), 70.79/10.87 one_one_int) 70.79/10.87 | t != one_one_int), 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])). 70.79/10.87 tff(fact_358_Pls__def, axiom, (pls = zero_zero_int)). 70.79/10.87 tff('4', plain, pls = zero_zero_int, 70.79/10.87 inference('cnf', [status(esa)], [fact_358_Pls__def])). 70.79/10.87 tff(fact_265_semiring__norm_I110_J, axiom, 70.79/10.87 (one_one_int = number_number_of_int(bit1(pls)))). 70.79/10.87 tff('5', plain, one_one_int = number_number_of_int(bit1(pls)), 70.79/10.87 inference('cnf', [status(esa)], [fact_265_semiring__norm_I110_J])). 70.79/10.87 tff('6', plain, pls = zero_zero_int, 70.79/10.87 inference('cnf', [status(esa)], [fact_358_Pls__def])). 70.79/10.87 tff('7', plain, one_one_int = number_number_of_int(bit1(zero_zero_int)), 70.79/10.87 inference('demod', [status(thm)], ['5', '6'])). 70.79/10.87 tff(fact_144_number__of__is__id, axiom, 70.79/10.87 (![K:int]: (number_number_of_int(K) = K))). 70.79/10.87 tff('8', plain, ![X321 : int]: number_number_of_int(X321) = X321, 70.79/10.87 inference('cnf', [status(esa)], [fact_144_number__of__is__id])). 70.79/10.87 tff('9', plain, one_one_int = bit1(zero_zero_int), 70.79/10.87 inference('demod', [status(thm)], ['7', '8'])). 70.79/10.87 tff(fact_206_Bit0__def, axiom, (![K:int]: (bit0(K) = plus_plus_int(K,K)))). 70.79/10.87 tff('10', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('11', plain, pls = zero_zero_int, 70.79/10.87 inference('cnf', [status(esa)], [fact_358_Pls__def])). 70.79/10.87 tff('12', plain, one_one_int = bit1(zero_zero_int), 70.79/10.87 inference('demod', [status(thm)], ['7', '8'])). 70.79/10.87 tff('13', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('14', plain, pls = zero_zero_int, 70.79/10.87 inference('cnf', [status(esa)], [fact_358_Pls__def])). 70.79/10.87 tff('15', plain, one_one_int = bit1(zero_zero_int), 70.79/10.87 inference('demod', [status(thm)], ['7', '8'])). 70.79/10.87 tff('16', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('17', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('18', plain, ![X321 : int]: number_number_of_int(X321) = X321, 70.79/10.87 inference('cnf', [status(esa)], [fact_144_number__of__is__id])). 70.79/10.87 tff('19', plain, 70.79/10.87 (plus_plus_int( 70.79/10.87 power_power_int(sk_X_1, 70.79/10.87 number_number_of_nat(plus_plus_int(one_one_int, one_one_int))), 70.79/10.87 power_power_int(sk_Y, 70.79/10.87 number_number_of_nat(plus_plus_int(one_one_int, one_one_int)))) 70.79/10.87 = plus_plus_int( 70.79/10.87 times_times_int( 70.79/10.87 plus_plus_int(plus_plus_int(one_one_int, one_one_int), 70.79/10.87 plus_plus_int(one_one_int, one_one_int)), m), one_one_int) 70.79/10.87 | t != one_one_int), 70.79/10.87 inference('demod', [status(thm)], 70.79/10.87 ['3', '4', '9', '10', '11', '12', '13', '14', '15', '16', 70.79/10.87 '17', '18'])). 70.79/10.87 tff(fact_202_mult__Bit0, axiom, 70.79/10.87 (![K:int,L:int]: (times_times_int(bit0(K),L) = bit0(times_times_int(K,L))))). 70.79/10.87 tff('20', plain, 70.79/10.87 ![X1730 : int, X1731 : int]: 70.79/10.87 times_times_int(bit0(X1730), X1731) 70.79/10.87 = bit0(times_times_int(X1730, X1731)), 70.79/10.87 inference('cnf', [status(esa)], [fact_202_mult__Bit0])). 70.79/10.87 tff('21', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('22', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('23', plain, 70.79/10.87 ![X1730 : int, X1731 : int]: 70.79/10.87 times_times_int(plus_plus_int(X1730, X1730), X1731) 70.79/10.87 = plus_plus_int(times_times_int(X1730, X1731), 70.79/10.87 times_times_int(X1730, X1731)), 70.79/10.87 inference('demod', [status(thm)], ['20', '21', '22'])). 70.79/10.87 tff(fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J, axiom, 70.79/10.87 (![M_11:int]: 70.79/10.87 (plus_plus_int(M_11,M_11) = 70.79/10.87 times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)))). 70.79/10.87 tff('24', plain, 70.79/10.87 ![X116 : int]: 70.79/10.87 plus_plus_int(X116, X116) 70.79/10.87 = times_times_int(plus_plus_int(one_one_int, one_one_int), X116), 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J])). 70.79/10.87 tff('25', plain, 70.79/10.87 ![X116 : int]: 70.79/10.87 plus_plus_int(X116, X116) 70.79/10.87 = times_times_int(plus_plus_int(one_one_int, one_one_int), X116), 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J])). 70.79/10.87 tff('26', plain, 70.79/10.87 (plus_plus_int( 70.79/10.87 power_power_int(sk_X_1, 70.79/10.87 number_number_of_nat(plus_plus_int(one_one_int, one_one_int))), 70.79/10.87 power_power_int(sk_Y, 70.79/10.87 number_number_of_nat(plus_plus_int(one_one_int, one_one_int)))) 70.79/10.87 = plus_plus_int( 70.79/10.87 plus_plus_int(plus_plus_int(m, m), plus_plus_int(m, m)), 70.79/10.87 one_one_int) 70.79/10.87 | t != one_one_int), 70.79/10.87 inference('demod', [status(thm)], ['19', '23', '24', '25'])). 70.79/10.87 tff(fact_570_order__le__neq__implies__less, axiom, 70.79/10.87 (![X_7:int,Y_6:int]: 70.79/10.87 (ord_less_eq_int(X_7,Y_6) => ((X_7 != Y_6) => ord_less_int(X_7,Y_6))))). 70.79/10.87 tff('27', plain, 70.79/10.87 ![X820 : int, X821 : int]: 70.79/10.87 (X821 = X820 70.79/10.87 | ord_less_int(X821, X820) 70.79/10.87 | ~ ord_less_eq_int(X821, X820)), 70.79/10.87 inference('cnf', [status(esa)], [fact_570_order__le__neq__implies__less])). 70.79/10.87 tff(fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J, axiom, 70.79/10.87 (![A_121:int,C_36:int,D_10:int]: 70.79/10.87 (plus_plus_int(A_121,plus_plus_int(C_36,D_10)) = 70.79/10.87 plus_plus_int(plus_plus_int(A_121,C_36),D_10)))). 70.79/10.87 tff('28', plain, 70.79/10.87 ![X1139 : int, X1140 : int, X1141 : int]: 70.79/10.87 plus_plus_int(X1139, plus_plus_int(X1140, X1141)) 70.79/10.87 = plus_plus_int(plus_plus_int(X1139, X1140), X1141), 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J])). 70.79/10.87 tff(conj_0, conjecture, 70.79/10.87 (?[X:int,Y:int]: 70.79/10.87 (plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))), 70.79/10.87 power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = 70.79/10.87 plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), 70.79/10.87 m), 70.79/10.87 one_one_int)))). 70.79/10.87 tff(zf_stmt_0, negated_conjecture, 70.79/10.87 (~ 70.79/10.87 (?[X:int,Y:int]: 70.79/10.87 (plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))), 70.79/10.87 power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = 70.79/10.87 plus_plus_int(times_times_int(number_number_of_int(bit0(bit0( 70.79/10.87 bit1(pls)))), 70.79/10.87 m), 70.79/10.87 one_one_int))))). 70.79/10.87 tff('29', plain, 70.79/10.87 ![X2576 : int, X2577 : int]: 70.79/10.87 plus_plus_int( 70.79/10.87 power_power_int(X2576, number_number_of_nat(bit0(bit1(pls)))), 70.79/10.87 power_power_int(X2577, number_number_of_nat(bit0(bit1(pls))))) 70.79/10.87 != plus_plus_int( 70.79/10.87 times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), 70.79/10.87 one_one_int), 70.79/10.87 inference('cnf', [status(esa)], [zf_stmt_0])). 70.79/10.87 tff('30', plain, pls = zero_zero_int, 70.79/10.87 inference('cnf', [status(esa)], [fact_358_Pls__def])). 70.79/10.87 tff(fact_253_Bit1__def, axiom, 70.79/10.87 (![K:int]: (bit1(K) = plus_plus_int(plus_plus_int(one_one_int,K),K)))). 70.79/10.87 tff('31', plain, 70.79/10.87 ![X434 : int]: 70.79/10.87 bit1(X434) = plus_plus_int(plus_plus_int(one_one_int, X434), X434), 70.79/10.87 inference('cnf', [status(esa)], [fact_253_Bit1__def])). 70.79/10.87 tff(fact_353_add__0__iff, axiom, 70.79/10.87 (![B_60:int,A_91:int]: 70.79/10.87 ((A_91 = zero_zero_int) <=> (B_60 = plus_plus_int(B_60,A_91))))). 70.79/10.87 tff('32', plain, 70.79/10.87 ![X1306 : int, X1307 : int]: 70.79/10.87 (X1306 = plus_plus_int(X1306, X1307) | X1307 != zero_zero_int), 70.79/10.87 inference('cnf', [status(esa)], [fact_353_add__0__iff])). 70.79/10.87 tff('33', plain, ![X1306 : int]: X1306 = plus_plus_int(X1306, zero_zero_int), 70.79/10.87 inference('simplify', [status(thm)], ['32'])). 70.79/10.87 tff('34', plain, ![X1306 : int]: X1306 = plus_plus_int(X1306, zero_zero_int), 70.79/10.87 inference('simplify', [status(thm)], ['32'])). 70.79/10.87 tff('35', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff(fact_286_semiring__one__add__one__is__two, axiom, 70.79/10.87 (plus_plus_nat(one_one_nat,one_one_nat) = 70.79/10.87 number_number_of_nat(bit0(bit1(pls))))). 70.79/10.87 tff('36', plain, 70.79/10.87 plus_plus_nat(one_one_nat, one_one_nat) 70.79/10.87 = number_number_of_nat(bit0(bit1(pls))), 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_286_semiring__one__add__one__is__two])). 70.79/10.87 tff('37', plain, pls = zero_zero_int, 70.79/10.87 inference('cnf', [status(esa)], [fact_358_Pls__def])). 70.79/10.87 tff('38', plain, 70.79/10.87 ![X434 : int]: 70.79/10.87 bit1(X434) = plus_plus_int(plus_plus_int(one_one_int, X434), X434), 70.79/10.87 inference('cnf', [status(esa)], [fact_253_Bit1__def])). 70.79/10.87 tff('39', plain, ![X1306 : int]: X1306 = plus_plus_int(X1306, zero_zero_int), 70.79/10.87 inference('simplify', [status(thm)], ['32'])). 70.79/10.87 tff('40', plain, ![X1306 : int]: X1306 = plus_plus_int(X1306, zero_zero_int), 70.79/10.87 inference('simplify', [status(thm)], ['32'])). 70.79/10.87 tff('41', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('42', plain, 70.79/10.87 plus_plus_nat(one_one_nat, one_one_nat) 70.79/10.87 = number_number_of_nat(plus_plus_int(one_one_int, one_one_int)), 70.79/10.87 inference('demod', [status(thm)], ['36', '37', '38', '39', '40', '41'])). 70.79/10.87 tff(fact_465_power__add, axiom, 70.79/10.87 (![A_73:int,M_6:nat,N_16:nat]: 70.79/10.87 (power_power_int(A_73,plus_plus_nat(M_6,N_16)) = 70.79/10.87 times_times_int(power_power_int(A_73,M_6),power_power_int(A_73,N_16))))). 70.79/10.87 tff('43', plain, 70.79/10.87 ![X1407 : int, X1408 : nat, X1409 : nat]: 70.79/10.87 power_power_int(X1407, plus_plus_nat(X1408, X1409)) 70.79/10.87 = times_times_int(power_power_int(X1407, X1408), 70.79/10.87 power_power_int(X1407, X1409)), 70.79/10.87 inference('cnf', [status(esa)], [fact_465_power__add])). 70.79/10.87 tff(fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J, axiom, 70.79/10.87 (![X_40:int]: (power_power_int(X_40,one_one_nat) = X_40))). 70.79/10.87 tff('44', plain, ![X1997 : int]: power_power_int(X1997, one_one_nat) = X1997, 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])). 70.79/10.87 tff('45', plain, ![X1997 : int]: power_power_int(X1997, one_one_nat) = X1997, 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])). 70.79/10.87 tff('46', plain, pls = zero_zero_int, 70.79/10.87 inference('cnf', [status(esa)], [fact_358_Pls__def])). 70.79/10.87 tff('47', plain, 70.79/10.87 ![X434 : int]: 70.79/10.87 bit1(X434) = plus_plus_int(plus_plus_int(one_one_int, X434), X434), 70.79/10.87 inference('cnf', [status(esa)], [fact_253_Bit1__def])). 70.79/10.87 tff('48', plain, ![X1306 : int]: X1306 = plus_plus_int(X1306, zero_zero_int), 70.79/10.87 inference('simplify', [status(thm)], ['32'])). 70.79/10.87 tff('49', plain, ![X1306 : int]: X1306 = plus_plus_int(X1306, zero_zero_int), 70.79/10.87 inference('simplify', [status(thm)], ['32'])). 70.79/10.87 tff('50', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('51', plain, 70.79/10.87 plus_plus_nat(one_one_nat, one_one_nat) 70.79/10.87 = number_number_of_nat(plus_plus_int(one_one_int, one_one_int)), 70.79/10.87 inference('demod', [status(thm)], ['36', '37', '38', '39', '40', '41'])). 70.79/10.87 tff('52', plain, 70.79/10.87 ![X1407 : int, X1408 : nat, X1409 : nat]: 70.79/10.87 power_power_int(X1407, plus_plus_nat(X1408, X1409)) 70.79/10.87 = times_times_int(power_power_int(X1407, X1408), 70.79/10.87 power_power_int(X1407, X1409)), 70.79/10.87 inference('cnf', [status(esa)], [fact_465_power__add])). 70.79/10.87 tff('53', plain, ![X1997 : int]: power_power_int(X1997, one_one_nat) = X1997, 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])). 70.79/10.87 tff('54', plain, ![X1997 : int]: power_power_int(X1997, one_one_nat) = X1997, 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])). 70.79/10.87 tff('55', plain, pls = zero_zero_int, 70.79/10.87 inference('cnf', [status(esa)], [fact_358_Pls__def])). 70.79/10.87 tff('56', plain, 70.79/10.87 ![X434 : int]: 70.79/10.87 bit1(X434) = plus_plus_int(plus_plus_int(one_one_int, X434), X434), 70.79/10.87 inference('cnf', [status(esa)], [fact_253_Bit1__def])). 70.79/10.87 tff('57', plain, ![X1306 : int]: X1306 = plus_plus_int(X1306, zero_zero_int), 70.79/10.87 inference('simplify', [status(thm)], ['32'])). 70.79/10.87 tff('58', plain, ![X1306 : int]: X1306 = plus_plus_int(X1306, zero_zero_int), 70.79/10.87 inference('simplify', [status(thm)], ['32'])). 70.79/10.87 tff('59', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('60', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff('61', plain, ![X321 : int]: number_number_of_int(X321) = X321, 70.79/10.87 inference('cnf', [status(esa)], [fact_144_number__of__is__id])). 70.79/10.87 tff(fact_220_left__distrib__number__of, axiom, 70.79/10.87 (![A_112:int,B_66:int,V_14:int]: 70.79/10.87 (times_times_int(plus_plus_int(A_112,B_66),number_number_of_int(V_14)) = 70.79/10.87 plus_plus_int(times_times_int(A_112,number_number_of_int(V_14)), 70.79/10.87 times_times_int(B_66,number_number_of_int(V_14)))))). 70.79/10.87 tff('62', plain, 70.79/10.87 ![X247 : int, X248 : int, X249 : int]: 70.79/10.87 times_times_int(plus_plus_int(X247, X249), number_number_of_int(X248)) 70.79/10.87 = plus_plus_int(times_times_int(X247, number_number_of_int(X248)), 70.79/10.87 times_times_int(X249, number_number_of_int(X248))), 70.79/10.87 inference('cnf', [status(esa)], [fact_220_left__distrib__number__of])). 70.79/10.87 tff('63', plain, ![X321 : int]: number_number_of_int(X321) = X321, 70.79/10.87 inference('cnf', [status(esa)], [fact_144_number__of__is__id])). 70.79/10.87 tff('64', plain, ![X321 : int]: number_number_of_int(X321) = X321, 70.79/10.87 inference('cnf', [status(esa)], [fact_144_number__of__is__id])). 70.79/10.87 tff('65', plain, ![X321 : int]: number_number_of_int(X321) = X321, 70.79/10.87 inference('cnf', [status(esa)], [fact_144_number__of__is__id])). 70.79/10.87 tff('66', plain, 70.79/10.87 ![X247 : int, X248 : int, X249 : int]: 70.79/10.87 times_times_int(plus_plus_int(X247, X249), X248) 70.79/10.87 = plus_plus_int(times_times_int(X247, X248), 70.79/10.87 times_times_int(X249, X248)), 70.79/10.87 inference('demod', [status(thm)], ['62', '63', '64', '65'])). 70.79/10.87 tff('67', plain, 70.79/10.87 ![X247 : int, X248 : int, X249 : int]: 70.79/10.87 times_times_int(plus_plus_int(X247, X249), X248) 70.79/10.87 = plus_plus_int(times_times_int(X247, X248), 70.79/10.87 times_times_int(X249, X248)), 70.79/10.87 inference('demod', [status(thm)], ['62', '63', '64', '65'])). 70.79/10.87 tff(fact_208_zmult__1, axiom, 70.79/10.87 (![Z:int]: (times_times_int(one_one_int,Z) = Z))). 70.79/10.87 tff('68', plain, ![X1398 : int]: times_times_int(one_one_int, X1398) = X1398, 70.79/10.87 inference('cnf', [status(esa)], [fact_208_zmult__1])). 70.79/10.87 tff('69', plain, ![X1398 : int]: times_times_int(one_one_int, X1398) = X1398, 70.79/10.87 inference('cnf', [status(esa)], [fact_208_zmult__1])). 70.79/10.87 tff('70', plain, 70.79/10.87 ![X247 : int, X248 : int, X249 : int]: 70.79/10.87 times_times_int(plus_plus_int(X247, X249), X248) 70.79/10.87 = plus_plus_int(times_times_int(X247, X248), 70.79/10.87 times_times_int(X249, X248)), 70.79/10.87 inference('demod', [status(thm)], ['62', '63', '64', '65'])). 70.79/10.87 tff('71', plain, ![X1398 : int]: times_times_int(one_one_int, X1398) = X1398, 70.79/10.87 inference('cnf', [status(esa)], [fact_208_zmult__1])). 70.79/10.87 tff('72', plain, ![X1398 : int]: times_times_int(one_one_int, X1398) = X1398, 70.79/10.87 inference('cnf', [status(esa)], [fact_208_zmult__1])). 70.79/10.87 tff('73', plain, 70.79/10.87 ![X2576 : int, X2577 : int]: 70.79/10.87 plus_plus_int(times_times_int(X2576, X2576), 70.79/10.87 times_times_int(X2577, X2577)) 70.79/10.87 != plus_plus_int( 70.79/10.87 plus_plus_int(plus_plus_int(m, m), plus_plus_int(m, m)), 70.79/10.87 one_one_int), 70.79/10.87 inference('demod', [status(thm)], 70.79/10.87 ['29', '30', '31', '33', '34', '35', '42', '43', '44', '45', 70.79/10.87 '46', '47', '48', '49', '50', '51', '52', '53', '54', '55', 70.79/10.87 '56', '57', '58', '59', '60', '61', '66', '67', '68', '69', 70.79/10.87 '70', '71', '72'])). 70.79/10.87 tff(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom, 70.79/10.87 (![A_119:int,C_34:int]: 70.79/10.87 (plus_plus_int(A_119,C_34) = plus_plus_int(C_34,A_119)))). 70.79/10.87 tff('74', plain, 70.79/10.87 ![X1191 : int, X1192 : int]: 70.79/10.87 plus_plus_int(X1192, X1191) = plus_plus_int(X1191, X1192), 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])). 70.79/10.87 tff('75', plain, 70.79/10.87 ![X1 : int, X2 : int]: plus_plus_int(X1, X2) = plus_plus_int(X2, X1), 70.79/10.87 inference('ac', [status(esa)], ['74'])). 70.79/10.87 tff(fact_106_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J, axiom, 70.79/10.87 (![Lx_1:int,Rx_1:int,Ry_1:int]: 70.79/10.87 (times_times_int(Lx_1,times_times_int(Rx_1,Ry_1)) = 70.79/10.87 times_times_int(times_times_int(Lx_1,Rx_1),Ry_1)))). 70.79/10.87 tff('76', plain, 70.79/10.87 ![X1532 : int, X1533 : int, X1534 : int]: 70.79/10.87 times_times_int(X1532, times_times_int(X1533, X1534)) 70.79/10.87 = times_times_int(times_times_int(X1532, X1533), X1534), 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_106_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J])). 70.79/10.87 tff('77', plain, 70.79/10.87 ![X1 : int, X2 : int]: times_times_int(X1, X2) = times_times_int(X2, X1), 70.79/10.87 inference('ac', [status(esa)], ['76'])). 70.79/10.87 tff(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom, 70.79/10.87 (ord_less_int(one_one_int,t) => 70.79/10.87 (?[X:int,Y:int]: 70.79/10.87 (plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))), 70.79/10.87 power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))) = 70.79/10.87 plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), 70.79/10.87 m), 70.79/10.87 one_one_int))))). 70.79/10.87 tff('78', plain, 70.79/10.87 (plus_plus_int( 70.79/10.87 power_power_int(sk_X_3, number_number_of_nat(bit0(bit1(pls)))), 70.79/10.87 power_power_int(sk_Y_1, number_number_of_nat(bit0(bit1(pls))))) 70.79/10.87 = plus_plus_int( 70.79/10.87 times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))), m), 70.79/10.87 one_one_int) 70.79/10.87 | ~ ord_less_int(one_one_int, t)), 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])). 70.79/10.87 tff('79', plain, ![X1309 : int]: bit0(X1309) = plus_plus_int(X1309, X1309), 70.79/10.87 inference('cnf', [status(esa)], [fact_206_Bit0__def])). 70.79/10.87 tff(fact_207_zmult__1__right, axiom, 70.79/10.87 (![Z:int]: (times_times_int(Z,one_one_int) = Z))). 70.79/10.87 tff('80', plain, ![X647 : int]: times_times_int(X647, one_one_int) = X647, 70.79/10.87 inference('cnf', [status(esa)], [fact_207_zmult__1__right])). 70.79/10.87 tff('81', plain, pls = zero_zero_int, 70.79/10.87 inference('cnf', [status(esa)], [fact_358_Pls__def])). 70.79/10.87 tff(fact_19_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J, axiom, 70.79/10.87 (![X_43:int]: 70.79/10.87 (times_times_int(X_43,X_43) = 70.79/10.87 power_power_int(X_43,number_number_of_nat(bit0(bit1(pls))))))). 70.79/10.87 tff('82', plain, 70.79/10.87 ![X921 : int]: 70.79/10.87 times_times_int(X921, X921) 70.79/10.87 = power_power_int(X921, number_number_of_nat(bit0(bit1(pls)))), 70.79/10.87 inference('cnf', [status(esa)], 70.79/10.87 [fact_19_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J])). 70.79/10.87 tff(fact_269_double__number__of__Bit0, axiom, 70.79/10.87 (![W_6:int]: 70.79/10.87 (times_times_int(plus_plus_int(one_one_int,one_one_int), 70.79/10.87 number_number_of_int(W_6)) = 70.79/10.87 number_number_of_int(bit0(W_6))))). 70.79/10.87 tff('83', plain, 70.79/10.87 ![X225 : int]: 70.79/10.87 times_times_int(plus_plus_int(one_one_int, one_one_int), 70.79/10.87 number_number_of_int(X225)) 70.79/10.87 = number_number_of_int(bit0(X225)), 70.79/10.87 inference('cnf', [status(esa)], [fact_269_double__number__of__Bit0])). 70.79/10.87 tff(fact_203_add__Pls__right, axiom, (![K:int]: (plus_plus_int(K,pls) = K))). 70.79/10.87 tff('84', plain, ![X2409 : int]: plus_plus_int(X2409, pls) = X2409, 70.79/10.87 inference('cnf', [status(esa)], [fact_203_add__Pls__right])). 70.79/10.87 tff('85', plain, ![X321 : int]: number_number_of_int(X321) = X321, 70.79/10.87 inference('cnf', [status(esa)], [fact_144_number__of__is__id])). 70.79/10.87 tff(fact_254_number__of__Bit1, axiom, 70.79/10.87 (![W_7:int]: 70.79/10.87 (number_number_of_int(bit1(W_7)) = 70.79/10.87 plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_7)), 70.79/10.87 number_number_of_int(W_7))))). 70.79/10.87 tff('86', plain, 70.79/10.87 ![X1527 : int]: 70.79/10.87 number_number_of_int(bit1(X1527)) 70.79/10.87 = plus_plus_int( 70.79/10.87 plus_plus_int(one_one_int, number_number_of_int(X1527)), 70.79/10.87 number_number_of_int(X1527)), 70.79/10.87 inference('cnf', [status(esa)], [fact_254_number__of__Bit1])). 70.79/10.87 tff('87', plain, $false, 70.79/10.87 inference('eprover', [status(thm)], 70.79/10.87 ['0', '1', '2', '26', '27', '28', '73', '75', '77', '78', 70.79/10.87 '79', '80', '81', '82', '83', '84', '85', '86'])). 70.79/10.87 70.79/10.87 % SZS output end Refutation 70.79/10.87 70.79/10.87 70.79/10.87 % Terminating... 70.94/10.94 % Runner terminated. 70.94/10.95 % Zipperpin 1.5 exiting 70.94/10.97 EOF