0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9lI9FcbtG1 true 0.14/0.35 % Computer : n013.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1920 0.14/0.35 % WCLimit : 240 0.14/0.35 % DateTime : Wed Jul 30 08:18:49 EDT 2025 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 1920 s 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.54/0.64 % Total configuration time : 828 0.54/0.64 % Estimated wc time : 1656 0.54/0.64 % Estimated cpu time (8 cpus) : 207.0 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.55/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.56/0.80 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 230.75/29.72 % Solved by lams/40_c_ic.sh. 230.75/29.72 % done 1743 iterations in 28.949s 230.75/29.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 230.75/29.72 % SZS output start Refutation 230.75/29.72 thf(int_type, type, int: $tType). 230.75/29.72 thf(nat_type, type, nat: $tType). 230.75/29.72 thf(divide_divide_int_type, type, divide_divide_int: int > int > int). 230.75/29.72 thf(one_one_int_type, type, one_one_int: int). 230.75/29.72 thf(zero_zero_nat_type, type, zero_zero_nat: nat). 230.75/29.72 thf(times_times_int_type, type, times_times_int: int > int > int). 230.75/29.72 thf('#_fresh_sk1_type', type, '#_fresh_sk1': int > nat). 230.75/29.72 thf(semiri2019852685at_int_type, type, semiri2019852685at_int: nat > int). 230.75/29.72 thf(plus_plus_int_type, type, plus_plus_int: int > int > int). 230.75/29.72 thf(power_power_int_type, type, power_power_int: int > nat > int). 230.75/29.72 thf(x_type, type, x: int). 230.75/29.72 thf(one_one_nat_type, type, one_one_nat: nat). 230.75/29.72 thf(zero_zero_int_type, type, zero_zero_int: int). 230.75/29.72 thf(p_type, type, p: nat). 230.75/29.72 thf(pm_type, type, pm: nat). 230.75/29.72 thf(suc_type, type, suc: nat > nat). 230.75/29.72 thf(sk__7_type, type, sk__7: nat > nat). 230.75/29.72 thf('#_fresh_sk610_type', type, '#_fresh_sk610': int > int > int). 230.75/29.72 thf(fact_180_bits__div__0, axiom, 230.75/29.72 (![A:int]: 230.75/29.72 ( ( divide_divide_int @ zero_zero_int @ A ) = ( zero_zero_int ) ))). 230.75/29.72 thf(zip_derived_cl124, plain, 230.75/29.72 (![X0 : int]: 230.75/29.72 ((divide_divide_int @ zero_zero_int @ X0) = (zero_zero_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_180_bits__div__0])). 230.75/29.72 thf(fact_182_div__by__0, axiom, 230.75/29.72 (![A:int]: 230.75/29.72 ( ( divide_divide_int @ A @ zero_zero_int ) = ( zero_zero_int ) ))). 230.75/29.72 thf(zip_derived_cl158, plain, 230.75/29.72 (![X0 : int]: 230.75/29.72 ((divide_divide_int @ X0 @ zero_zero_int) = (zero_zero_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_182_div__by__0])). 230.75/29.72 thf(fact_267_power__not__zero, axiom, 230.75/29.72 (![A:int,N:nat]: 230.75/29.72 ( ( ( A ) != ( zero_zero_int ) ) => 230.75/29.72 ( ( power_power_int @ A @ N ) != ( zero_zero_int ) ) ))). 230.75/29.72 thf(zip_derived_cl19, plain, 230.75/29.72 (![X0 : int, X1 : nat]: 230.75/29.72 (((X0) = (zero_zero_int)) 230.75/29.72 | ((power_power_int @ X0 @ X1) != (zero_zero_int)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_267_power__not__zero])). 230.75/29.72 thf(fact_20_p, axiom, (( p ) = ( suc @ pm ))). 230.75/29.72 thf(zip_derived_cl21, plain, (((p) = (suc @ pm))), 230.75/29.72 inference('cnf', [status(esa)], [fact_20_p])). 230.75/29.72 thf(fact_299_of__nat__neq__0, axiom, 230.75/29.72 (![N:nat]: 230.75/29.72 ( ( semiri2019852685at_int @ ( suc @ N ) ) != ( zero_zero_int ) ))). 230.75/29.72 thf(zip_derived_cl32, plain, 230.75/29.72 (![X0 : nat]: ((semiri2019852685at_int @ (suc @ X0)) != (zero_zero_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_299_of__nat__neq__0])). 230.75/29.72 thf(zip_derived_cl216, plain, 230.75/29.72 (((semiri2019852685at_int @ p) != (zero_zero_int))), 230.75/29.72 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl32])). 230.75/29.72 thf(fact_221_nonzero__mult__div__cancel__left, axiom, 230.75/29.72 (![A:int,B:int]: 230.75/29.72 ( ( ( A ) != ( zero_zero_int ) ) => 230.75/29.72 ( ( divide_divide_int @ ( times_times_int @ A @ B ) @ A ) = ( B ) ) ))). 230.75/29.72 thf(zip_derived_cl123, plain, 230.75/29.72 (![X0 : int, X1 : int]: 230.75/29.72 (((X0) = (zero_zero_int)) 230.75/29.72 | ((divide_divide_int @ (times_times_int @ X0 @ X1) @ X0) = (X1)))), 230.75/29.72 inference('cnf', [status(esa)], 230.75/29.72 [fact_221_nonzero__mult__div__cancel__left])). 230.75/29.72 thf(fact_223_nonzero__mult__div__cancel__right, axiom, 230.75/29.72 (![B:int,A:int]: 230.75/29.72 ( ( ( B ) != ( zero_zero_int ) ) => 230.75/29.72 ( ( divide_divide_int @ ( times_times_int @ A @ B ) @ B ) = ( A ) ) ))). 230.75/29.72 thf(zip_derived_cl197, plain, 230.75/29.72 (![X0 : int, X1 : int]: 230.75/29.72 (((X0) = (zero_zero_int)) 230.75/29.72 | ((divide_divide_int @ (times_times_int @ X1 @ X0) @ X0) = (X1)))), 230.75/29.72 inference('cnf', [status(esa)], 230.75/29.72 [fact_223_nonzero__mult__div__cancel__right])). 230.75/29.72 thf(fact_18_of__nat__eq__iff, axiom, 230.75/29.72 (![M:nat,N:nat]: 230.75/29.72 ( ( ( semiri2019852685at_int @ M ) = ( semiri2019852685at_int @ N ) ) <=> 230.75/29.72 ( ( M ) = ( N ) ) ))). 230.75/29.72 thf(zip_derived_cl30, plain, 230.75/29.72 (![X0 : nat, X1 : nat]: 230.75/29.72 (((X1) = (X0)) 230.75/29.72 | ((semiri2019852685at_int @ X1) != (semiri2019852685at_int @ X0)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_18_of__nat__eq__iff])). 230.75/29.72 thf(zip_derived_cl312, plain, 230.75/29.72 (![X1 : nat]: (('#_fresh_sk1' @ (semiri2019852685at_int @ X1)) = (X1))), 230.75/29.72 inference('inj_rec', [status(thm)], [zip_derived_cl30])). 230.75/29.72 thf(fact_152_mult__cancel__right, axiom, 230.75/29.72 (![A:int,C:int,B:int]: 230.75/29.72 ( ( ( times_times_int @ A @ C ) = ( times_times_int @ B @ C ) ) <=> 230.75/29.72 ( ( ( C ) = ( zero_zero_int ) ) | ( ( A ) = ( B ) ) ) ))). 230.75/29.72 thf(zip_derived_cl128, plain, 230.75/29.72 (![X0 : int, X1 : int, X2 : int]: 230.75/29.72 (((X1) = (X0)) 230.75/29.72 | ((X2) = (zero_zero_int)) 230.75/29.72 | ((times_times_int @ X1 @ X2) != (times_times_int @ X0 @ X2)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_152_mult__cancel__right])). 230.75/29.72 thf(fact_184_div__0, axiom, 230.75/29.72 (![A:int]: 230.75/29.72 ( ( divide_divide_int @ zero_zero_int @ A ) = ( zero_zero_int ) ))). 230.75/29.72 thf(zip_derived_cl112, plain, 230.75/29.72 (![X0 : int]: 230.75/29.72 ((divide_divide_int @ zero_zero_int @ X0) = (zero_zero_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_184_div__0])). 230.75/29.72 thf(zip_derived_cl7434, plain, 230.75/29.72 (![X0 : int, X1 : int, X2 : int]: 230.75/29.72 (((X0) = (zero_zero_int)) 230.75/29.72 | ((times_times_int @ (divide_divide_int @ zero_zero_int @ X1) @ X2) 230.75/29.72 != (times_times_int @ X0 @ X2)) 230.75/29.72 | ((X2) = (zero_zero_int)))), 230.75/29.72 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl112])). 230.75/29.72 thf(zip_derived_cl112, plain, 230.75/29.72 (![X0 : int]: 230.75/29.72 ((divide_divide_int @ zero_zero_int @ X0) = (zero_zero_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_184_div__0])). 230.75/29.72 thf(fact_160_mult__zero__left, axiom, 230.75/29.72 (![A:int]: ( ( times_times_int @ zero_zero_int @ A ) = ( zero_zero_int ) ))). 230.75/29.72 thf(zip_derived_cl90, plain, 230.75/29.72 (![X0 : int]: ((times_times_int @ zero_zero_int @ X0) = (zero_zero_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_160_mult__zero__left])). 230.75/29.72 thf(zip_derived_cl7836, plain, 230.75/29.72 (![X0 : int, X2 : int]: 230.75/29.72 (((X0) = (zero_zero_int)) 230.75/29.72 | ((zero_zero_int) != (times_times_int @ X0 @ X2)) 230.75/29.72 | ((X2) = (zero_zero_int)))), 230.75/29.72 inference('demod', [status(thm)], 230.75/29.72 [zip_derived_cl7434, zip_derived_cl112, zip_derived_cl90])). 230.75/29.72 thf(fact_84_add_Oleft__cancel, axiom, 230.75/29.72 (![A:int,B:int,C:int]: 230.75/29.72 ( ( ( plus_plus_int @ A @ B ) = ( plus_plus_int @ A @ C ) ) <=> 230.75/29.72 ( ( B ) = ( C ) ) ))). 230.75/29.72 thf(zip_derived_cl83, plain, 230.75/29.72 (![X0 : int, X1 : int, X2 : int]: 230.75/29.72 (((X1) = (X0)) 230.75/29.72 | ((plus_plus_int @ X2 @ X1) != (plus_plus_int @ X2 @ X0)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_84_add_Oleft__cancel])). 230.75/29.72 thf(zip_derived_cl5648, plain, 230.75/29.72 (![X1 : int, X2 : int]: 230.75/29.72 (('#_fresh_sk610' @ X2 @ (plus_plus_int @ X2 @ X1)) = (X1))), 230.75/29.72 inference('inj_rec', [status(thm)], [zip_derived_cl83])). 230.75/29.72 thf(fact_74_ab__semigroup__add__class_Oadd__ac_I1_J, axiom, 230.75/29.72 (![A:int,B:int,C:int]: 230.75/29.72 ( ( plus_plus_int @ ( plus_plus_int @ A @ B ) @ C ) = 230.75/29.72 ( plus_plus_int @ A @ ( plus_plus_int @ B @ C ) ) ))). 230.75/29.72 thf(zip_derived_cl199, plain, 230.75/29.72 (![X0 : int, X1 : int, X2 : int]: 230.75/29.72 ((plus_plus_int @ (plus_plus_int @ X0 @ X1) @ X2) 230.75/29.72 = (plus_plus_int @ X0 @ (plus_plus_int @ X1 @ X2)))), 230.75/29.72 inference('cnf', [status(esa)], 230.75/29.72 [fact_74_ab__semigroup__add__class_Oadd__ac_I1_J])). 230.75/29.72 thf(fact_13_power__Suc, axiom, 230.75/29.72 (![A:int,N:nat]: 230.75/29.72 ( ( power_power_int @ A @ ( suc @ N ) ) = 230.75/29.72 ( times_times_int @ A @ ( power_power_int @ A @ N ) ) ))). 230.75/29.72 thf(zip_derived_cl9, plain, 230.75/29.72 (![X0 : int, X1 : nat]: 230.75/29.72 ((power_power_int @ X0 @ (suc @ X1)) 230.75/29.72 = (times_times_int @ X0 @ (power_power_int @ X0 @ X1)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_13_power__Suc])). 230.75/29.72 thf(zip_derived_cl30, plain, 230.75/29.72 (![X0 : nat, X1 : nat]: 230.75/29.72 (((X1) = (X0)) 230.75/29.72 | ((semiri2019852685at_int @ X1) != (semiri2019852685at_int @ X0)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_18_of__nat__eq__iff])). 230.75/29.72 thf(fact_196_power__one__right, axiom, 230.75/29.72 (![A:int]: ( ( power_power_int @ A @ one_one_nat ) = ( A ) ))). 230.75/29.72 thf(zip_derived_cl111, plain, 230.75/29.72 (![X0 : int]: ((power_power_int @ X0 @ one_one_nat) = (X0))), 230.75/29.72 inference('cnf', [status(esa)], [fact_196_power__one__right])). 230.75/29.72 thf(zip_derived_cl339, plain, 230.75/29.72 (![X0 : nat, X1 : int]: 230.75/29.72 (((power_power_int @ X1 @ X0) = (X1)) 230.75/29.72 | ((semiri2019852685at_int @ one_one_nat) 230.75/29.72 != (semiri2019852685at_int @ X0)))), 230.75/29.72 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl111])). 230.75/29.72 thf(fact_303_int__ops_I2_J, axiom, 230.75/29.72 (( semiri2019852685at_int @ one_one_nat ) = ( one_one_int ))). 230.75/29.72 thf(zip_derived_cl20, plain, 230.75/29.72 (((semiri2019852685at_int @ one_one_nat) = (one_one_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_303_int__ops_I2_J])). 230.75/29.72 thf(zip_derived_cl341, plain, 230.75/29.72 (![X0 : nat, X1 : int]: 230.75/29.72 (((power_power_int @ X1 @ X0) = (X1)) 230.75/29.72 | ((one_one_int) != (semiri2019852685at_int @ X0)))), 230.75/29.72 inference('demod', [status(thm)], [zip_derived_cl339, zip_derived_cl20])). 230.75/29.72 thf(fact_163_add_Oleft__neutral, axiom, 230.75/29.72 (![A:int]: ( ( plus_plus_int @ zero_zero_int @ A ) = ( A ) ))). 230.75/29.72 thf(zip_derived_cl157, plain, 230.75/29.72 (![X0 : int]: ((plus_plus_int @ zero_zero_int @ X0) = (X0))), 230.75/29.72 inference('cnf', [status(esa)], [fact_163_add_Oleft__neutral])). 230.75/29.72 thf(fact_289_times__int__code_I1_J, axiom, 230.75/29.72 (![K:int]: ( ( times_times_int @ K @ zero_zero_int ) = ( zero_zero_int ) ))). 230.75/29.72 thf(zip_derived_cl183, plain, 230.75/29.72 (![X0 : int]: ((times_times_int @ X0 @ zero_zero_int) = (zero_zero_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_289_times__int__code_I1_J])). 230.75/29.72 thf(fact_70_mult_Ocommute, axiom, 230.75/29.72 (![A3:int,B2:int]: 230.75/29.72 ( ( times_times_int @ A3 @ B2 ) = ( times_times_int @ B2 @ A3 ) ))). 230.75/29.72 thf(zip_derived_cl18, plain, 230.75/29.72 (![X0 : int, X1 : int]: 230.75/29.72 ((times_times_int @ X1 @ X0) = (times_times_int @ X0 @ X1))), 230.75/29.72 inference('cnf', [status(esa)], [fact_70_mult_Ocommute])). 230.75/29.72 thf(fact_136_bits__div__by__1, axiom, 230.75/29.72 (![A:int]: ( ( divide_divide_int @ A @ one_one_int ) = ( A ) ))). 230.75/29.72 thf(zip_derived_cl148, plain, 230.75/29.72 (![X0 : int]: ((divide_divide_int @ X0 @ one_one_int) = (X0))), 230.75/29.72 inference('cnf', [status(esa)], [fact_136_bits__div__by__1])). 230.75/29.72 thf(fact_297_power__0, axiom, 230.75/29.72 (![A:int]: ( ( power_power_int @ A @ zero_zero_nat ) = ( one_one_int ) ))). 230.75/29.72 thf(zip_derived_cl118, plain, 230.75/29.72 (![X0 : int]: ((power_power_int @ X0 @ zero_zero_nat) = (one_one_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_297_power__0])). 230.75/29.72 thf(conj_0, conjecture, 230.75/29.72 (( divide_divide_int @ 230.75/29.72 ( plus_plus_int @ 230.75/29.72 ( divide_divide_int @ 230.75/29.72 ( power_power_int @ x @ ( suc @ pm ) ) @ 230.75/29.72 ( power_power_int @ x @ pm ) ) @ 230.75/29.72 ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ 230.75/29.72 ( semiri2019852685at_int @ ( suc @ pm ) ) ) = 230.75/29.72 ( x ))). 230.75/29.72 thf(zf_stmt_0, negated_conjecture, 230.75/29.72 (( divide_divide_int @ 230.75/29.72 ( plus_plus_int @ 230.75/29.72 ( divide_divide_int @ 230.75/29.72 ( power_power_int @ x @ ( suc @ pm ) ) @ 230.75/29.72 ( power_power_int @ x @ pm ) ) @ 230.75/29.72 ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ 230.75/29.72 ( semiri2019852685at_int @ ( suc @ pm ) ) ) != 230.75/29.72 ( x )), 230.75/29.72 inference('cnf.neg', [status(esa)], [conj_0])). 230.75/29.72 thf(zip_derived_cl207, plain, 230.75/29.72 (((divide_divide_int @ 230.75/29.72 (plus_plus_int @ 230.75/29.72 (divide_divide_int @ (power_power_int @ x @ (suc @ pm)) @ 230.75/29.72 (power_power_int @ x @ pm)) @ 230.75/29.72 (times_times_int @ x @ (semiri2019852685at_int @ pm))) @ 230.75/29.72 (semiri2019852685at_int @ (suc @ pm))) != (x))), 230.75/29.72 inference('cnf', [status(esa)], [zf_stmt_0])). 230.75/29.72 thf(fact_92_add__right__imp__eq, axiom, 230.75/29.72 (![B:int,A:int,C:int]: 230.75/29.72 ( ( ( plus_plus_int @ B @ A ) = ( plus_plus_int @ C @ A ) ) => 230.75/29.72 ( ( B ) = ( C ) ) ))). 230.75/29.72 thf(zip_derived_cl203, plain, 230.75/29.72 (![X0 : int, X1 : int, X2 : int]: 230.75/29.72 (((X1) = (X0)) 230.75/29.72 | ((plus_plus_int @ X1 @ X2) != (plus_plus_int @ X0 @ X2)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_92_add__right__imp__eq])). 230.75/29.72 thf(fact_281_old_Onat_Oexhaust, axiom, 230.75/29.72 (![Y:nat]: 230.75/29.72 ( ( ( Y ) != ( zero_zero_nat ) ) => 230.75/29.72 ( ~( ![Nat3:nat]: ( ( Y ) != ( suc @ Nat3 ) ) ) ) ))). 230.75/29.72 thf(zip_derived_cl181, plain, 230.75/29.72 (![X0 : nat]: (((X0) = (suc @ (sk__7 @ X0))) | ((X0) = (zero_zero_nat)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_281_old_Onat_Oexhaust])). 230.75/29.72 thf(fact_86_add_Ocommute, axiom, 230.75/29.72 (![A3:int,B2:int]: 230.75/29.72 ( ( plus_plus_int @ A3 @ B2 ) = ( plus_plus_int @ B2 @ A3 ) ))). 230.75/29.72 thf(zip_derived_cl82, plain, 230.75/29.72 (![X0 : int, X1 : int]: 230.75/29.72 ((plus_plus_int @ X1 @ X0) = (plus_plus_int @ X0 @ X1))), 230.75/29.72 inference('cnf', [status(esa)], [fact_86_add_Ocommute])). 230.75/29.72 thf(zip_derived_cl21, plain, (((p) = (suc @ pm))), 230.75/29.72 inference('cnf', [status(esa)], [fact_20_p])). 230.75/29.72 thf(fact_109__092_060open_062_092_060And_062n_O_Ax_A_L_Ax_A_K_An_A_061_Ax_A_K_A_I1_A_L_An_J_092_060close_062, axiom, 230.75/29.72 (![N:int]: 230.75/29.72 ( ( plus_plus_int @ x @ ( times_times_int @ x @ N ) ) = 230.75/29.72 ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ N ) ) ))). 230.75/29.72 thf(zip_derived_cl97, plain, 230.75/29.72 (![X0 : int]: 230.75/29.72 ((plus_plus_int @ x @ (times_times_int @ x @ X0)) 230.75/29.72 = (times_times_int @ x @ (plus_plus_int @ one_one_int @ X0)))), 230.75/29.72 inference('cnf', [status(esa)], 230.75/29.72 [fact_109__092_060open_062_092_060And_062n_O_Ax_A_L_Ax_A_K_An_A_061_Ax_A_K_A_I1_A_L_An_J_092_060close_062])). 230.75/29.72 thf(fact_264_add__0__iff, axiom, 230.75/29.72 (![B:int,A:int]: 230.75/29.72 ( ( ( B ) = ( plus_plus_int @ B @ A ) ) <=> ( ( A ) = ( zero_zero_int ) ) ))). 230.75/29.72 thf(zip_derived_cl142, plain, 230.75/29.72 (![X0 : int, X1 : int]: 230.75/29.72 (((X0) = (zero_zero_int)) | ((X1) != (plus_plus_int @ X1 @ X0)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_264_add__0__iff])). 230.75/29.72 thf(zip_derived_cl83, plain, 230.75/29.72 (![X0 : int, X1 : int, X2 : int]: 230.75/29.72 (((X1) = (X0)) 230.75/29.72 | ((plus_plus_int @ X2 @ X1) != (plus_plus_int @ X2 @ X0)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_84_add_Oleft__cancel])). 230.75/29.72 thf(zip_derived_cl32, plain, 230.75/29.72 (![X0 : nat]: ((semiri2019852685at_int @ (suc @ X0)) != (zero_zero_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_299_of__nat__neq__0])). 230.75/29.72 thf(zip_derived_cl5523, plain, 230.75/29.72 (![X0 : int, X1 : nat, X2 : int]: 230.75/29.72 (((X0) != (zero_zero_int)) 230.75/29.72 | ((plus_plus_int @ X2 @ X0) 230.75/29.72 != (plus_plus_int @ X2 @ (semiri2019852685at_int @ (suc @ X1)))))), 230.75/29.72 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl32])). 230.75/29.72 thf(zip_derived_cl5742, plain, 230.75/29.72 (![X1 : nat, X2 : int]: 230.75/29.72 ((plus_plus_int @ X2 @ zero_zero_int) 230.75/29.72 != (plus_plus_int @ X2 @ (semiri2019852685at_int @ (suc @ X1))))), 230.75/29.72 inference('simplify', [status(thm)], [zip_derived_cl5523])). 230.75/29.72 thf(fact_257_verit__sum__simplify, axiom, 230.75/29.72 (![A:int]: ( ( plus_plus_int @ A @ zero_zero_int ) = ( A ) ))). 230.75/29.72 thf(zip_derived_cl70, plain, 230.75/29.72 (![X0 : int]: ((plus_plus_int @ X0 @ zero_zero_int) = (X0))), 230.75/29.72 inference('cnf', [status(esa)], [fact_257_verit__sum__simplify])). 230.75/29.72 thf(zip_derived_cl5743, plain, 230.75/29.72 (![X1 : nat, X2 : int]: 230.75/29.72 ((X2) != (plus_plus_int @ X2 @ (semiri2019852685at_int @ (suc @ X1))))), 230.75/29.72 inference('demod', [status(thm)], [zip_derived_cl5742, zip_derived_cl70])). 230.75/29.72 thf(fact_243_int__ops_I1_J, axiom, 230.75/29.72 (( semiri2019852685at_int @ zero_zero_nat ) = ( zero_zero_int ))). 230.75/29.72 thf(zip_derived_cl206, plain, 230.75/29.72 (((semiri2019852685at_int @ zero_zero_nat) = (zero_zero_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_243_int__ops_I1_J])). 230.75/29.72 thf(fact_134_int__Suc, axiom, 230.75/29.72 (![N:nat]: 230.75/29.72 ( ( semiri2019852685at_int @ ( suc @ N ) ) = 230.75/29.72 ( plus_plus_int @ ( semiri2019852685at_int @ N ) @ one_one_int ) ))). 230.75/29.72 thf(zip_derived_cl93, plain, 230.75/29.72 (![X0 : nat]: 230.75/29.72 ((semiri2019852685at_int @ (suc @ X0)) 230.75/29.72 = (plus_plus_int @ (semiri2019852685at_int @ X0) @ one_one_int))), 230.75/29.72 inference('cnf', [status(esa)], [fact_134_int__Suc])). 230.75/29.72 thf(fact_165_add_Oright__neutral, axiom, 230.75/29.72 (![A:int]: ( ( plus_plus_int @ A @ zero_zero_int ) = ( A ) ))). 230.75/29.72 thf(zip_derived_cl195, plain, 230.75/29.72 (![X0 : int]: ((plus_plus_int @ X0 @ zero_zero_int) = (X0))), 230.75/29.72 inference('cnf', [status(esa)], [fact_165_add_Oright__neutral])). 230.75/29.72 thf(fact_124_of__nat__Suc, axiom, 230.75/29.72 (![M:nat]: 230.75/29.72 ( ( semiri2019852685at_int @ ( suc @ M ) ) = 230.75/29.72 ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ M ) ) ))). 230.75/29.72 thf(zip_derived_cl85, plain, 230.75/29.72 (![X0 : nat]: 230.75/29.72 ((semiri2019852685at_int @ (suc @ X0)) 230.75/29.72 = (plus_plus_int @ one_one_int @ (semiri2019852685at_int @ X0)))), 230.75/29.72 inference('cnf', [status(esa)], [fact_124_of__nat__Suc])). 230.75/29.72 thf(zip_derived_cl27884, plain, ($false), 230.75/29.72 inference('eprover', [status(thm)], 230.75/29.72 [zip_derived_cl124, zip_derived_cl158, zip_derived_cl19, 230.75/29.72 zip_derived_cl216, zip_derived_cl123, zip_derived_cl197, 230.75/29.72 zip_derived_cl312, zip_derived_cl7836, zip_derived_cl5648, 230.75/29.72 zip_derived_cl199, zip_derived_cl9, zip_derived_cl341, 230.75/29.72 zip_derived_cl157, zip_derived_cl183, zip_derived_cl18, 230.75/29.72 zip_derived_cl148, zip_derived_cl118, zip_derived_cl207, 230.75/29.72 zip_derived_cl203, zip_derived_cl181, zip_derived_cl82, 230.75/29.72 zip_derived_cl21, zip_derived_cl97, zip_derived_cl142, 230.75/29.72 zip_derived_cl5743, zip_derived_cl206, zip_derived_cl93, 230.75/29.72 zip_derived_cl195, zip_derived_cl85])). 230.75/29.72 230.75/29.72 % SZS output end Refutation 230.75/29.72 230.75/29.72 230.75/29.72 % Terminating... 231.20/29.84 % Runner terminated. 231.20/29.84 % Zipperpin 1.5 exiting 231.20/29.84 EOF