0.08/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.OSjU1ARniH 0.13/0.33 % Computer : n013.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1200 0.13/0.33 % DateTime : Tue Jul 13 15:45:03 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 % Running in HO mode 0.42/0.57 % Estimated wc time : 1286 0.42/0.57 % Estimated cpu time (7 cpus) : 183.71428571428572 0.48/0.67 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.50/0.68 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 12.97/2.41 % Solved by lams/s6.sh. 12.97/2.41 % done 607 iterations in 1.705s 12.97/2.41 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 12.97/2.41 % SZS output start Refutation 12.97/2.41 tff(fact_5__092_060open_062mset_A_Imap_A_I_I_B_J_Ays_A_092_060circ_062_Af_J_A_0910_O_O_060length_Axs_093_J_A_061_Aimage__mset_A_I_I_B_J_Ays_J_A_Iimage__mset_Af_A_Imset__set_A_1230_O_O_060length_Axs_125_J_J_092_060close_062, axiom, 12.97/2.41 (mset_a(map_nat_a(comp_nat_a_nat(nth_a(ys),f), 12.97/2.41 upt(zero_zero_nat,size_size_list_a(xs)))) = 12.97/2.41 image_mset_nat_a(nth_a(ys), 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat(set_or562006527an_nat( 12.97/2.41 zero_zero_nat, 12.97/2.41 size_size_list_a(xs))))))). 12.97/2.41 tff('0', plain, 12.97/2.41 mset_a( 12.97/2.41 map_nat_a(comp_nat_a_nat(nth_a(ys), f), 12.97/2.41 upt(zero_zero_nat, size_size_list_a(xs)))) 12.97/2.41 = image_mset_nat_a(nth_a(ys), 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat( 12.97/2.41 set_or562006527an_nat(zero_zero_nat, size_size_list_a(xs))))), 12.97/2.41 inference('cnf', [status(esa)], 12.97/2.41 [fact_5__092_060open_062mset_A_Imap_A_I_I_B_J_Ays_A_092_060circ_062_Af_J_A_0910_O_O_060length_Axs_093_J_A_061_Aimage__mset_A_I_I_B_J_Ays_J_A_Iimage__mset_Af_A_Imset__set_A_1230_O_O_060length_Axs_125_J_J_092_060close_062])). 12.97/2.41 tff(fact_242_int__ops_I1_J, axiom, 12.97/2.41 (semiri2019852685at_int(zero_zero_nat) = zero_zero_int)). 12.97/2.41 tff('1', plain, semiri2019852685at_int(zero_zero_nat) = zero_zero_int, 12.97/2.41 inference('cnf', [status(esa)], [fact_242_int__ops_I1_J])). 12.97/2.41 tff(fact_204_of__nat__eq__iff, axiom, 12.97/2.41 (![M:nat,N:nat]: 12.97/2.41 ((semiri2019852685at_int(M) = semiri2019852685at_int(N)) <=> (M = N)))). 12.97/2.41 tff('2', plain, 12.97/2.41 ![X63 : nat, X64 : nat]: 12.97/2.41 (X64 = X63 | semiri2019852685at_int(X64) != semiri2019852685at_int(X63)), 12.97/2.41 inference('cnf', [status(esa)], [fact_204_of__nat__eq__iff])). 12.97/2.41 tff('3', plain, 12.97/2.41 ![X64 : nat]: '#_fresh_sk140'(semiri2019852685at_int(X64)) = X64, 12.97/2.41 inference('inj_rec', [status(thm)], ['2'])). 12.97/2.41 tff('4', plain, '#_fresh_sk140'(zero_zero_int) = zero_zero_nat, 12.97/2.41 inference('sup+', [status(thm)], ['1', '3'])). 12.97/2.41 tff(fact_23_List_Omap_Ocompositionality, axiom, 12.97/2.41 (![F:((nat > a)),G:((nat > nat)),List:list_nat]: 12.97/2.41 (map_nat_a(F,map_nat_nat(G,List)) = map_nat_a(comp_nat_a_nat(F,G),List)))). 12.97/2.41 tff('5', plain, 12.97/2.41 ![X87 : nat > a, X88 : nat > nat, X89 : list_nat]: 12.97/2.41 map_nat_a(X87, map_nat_nat(X88, X89)) 12.97/2.41 = map_nat_a(comp_nat_a_nat(X87, X88), X89), 12.97/2.41 inference('cnf', [status(esa)], [fact_23_List_Omap_Ocompositionality])). 12.97/2.41 tff(fact_6__092_060open_062xs_A_061_Amap_A_I_I_B_J_Ays_A_092_060circ_062_Af_J_A_0910_O_O_060length_Axs_093_092_060close_062, axiom, 12.97/2.41 (xs = 12.97/2.41 map_nat_a(comp_nat_a_nat(nth_a(ys),f), 12.97/2.41 upt(zero_zero_nat,size_size_list_a(xs))))). 12.97/2.41 tff('6', plain, 12.97/2.41 xs 12.97/2.41 = map_nat_a(comp_nat_a_nat(nth_a(ys), f), 12.97/2.41 upt(zero_zero_nat, size_size_list_a(xs))), 12.97/2.41 inference('cnf', [status(esa)], 12.97/2.41 [fact_6__092_060open_062xs_A_061_Amap_A_I_I_B_J_Ays_A_092_060circ_062_Af_J_A_0910_O_O_060length_Axs_093_092_060close_062])). 12.97/2.41 tff('7', plain, '#_fresh_sk140'(zero_zero_int) = zero_zero_nat, 12.97/2.41 inference('sup+', [status(thm)], ['1', '3'])). 12.97/2.41 tff('8', plain, 12.97/2.41 ![X87 : nat > a, X88 : nat > nat, X89 : list_nat]: 12.97/2.41 map_nat_a(X87, map_nat_nat(X88, X89)) 12.97/2.41 = map_nat_a(comp_nat_a_nat(X87, X88), X89), 12.97/2.41 inference('cnf', [status(esa)], [fact_23_List_Omap_Ocompositionality])). 12.97/2.41 tff('9', plain, 12.97/2.41 xs 12.97/2.41 = map_nat_a(nth_a(ys), 12.97/2.41 map_nat_nat(f, 12.97/2.41 upt('#_fresh_sk140'(zero_zero_int), size_size_list_a(xs)))), 12.97/2.41 inference('demod', [status(thm)], ['6', '7', '8'])). 12.97/2.41 tff('10', plain, '#_fresh_sk140'(zero_zero_int) = zero_zero_nat, 12.97/2.41 inference('sup+', [status(thm)], ['1', '3'])). 12.97/2.41 tff(fact_72_lessThan__atLeast0, axiom, 12.97/2.41 (set_ord_lessThan_nat = set_or562006527an_nat(zero_zero_nat))). 12.97/2.41 tff('11', plain, set_ord_lessThan_nat = set_or562006527an_nat(zero_zero_nat), 12.97/2.41 inference('cnf', [status(esa)], [fact_72_lessThan__atLeast0])). 12.97/2.41 tff('12', plain, 12.97/2.41 ![X1 : nat]: 12.97/2.41 set_ord_lessThan_nat(X1) = set_or562006527an_nat(zero_zero_nat, X1), 12.97/2.41 inference('ho_complete_eq', [status(thm)], ['11'])). 12.97/2.41 tff('13', plain, '#_fresh_sk140'(zero_zero_int) = zero_zero_nat, 12.97/2.41 inference('sup+', [status(thm)], ['1', '3'])). 12.97/2.41 tff('14', plain, 12.97/2.41 ![X1 : nat]: 12.97/2.41 set_ord_lessThan_nat(X1) 12.97/2.41 = set_or562006527an_nat('#_fresh_sk140'(zero_zero_int), X1), 12.97/2.41 inference('demod', [status(thm)], ['12', '13'])). 12.97/2.41 tff('15', plain, 12.97/2.41 mset_a(xs) 12.97/2.41 = image_mset_nat_a(nth_a(ys), 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat(set_ord_lessThan_nat(size_size_list_a(xs))))), 12.97/2.41 inference('demod', [status(thm)], ['0', '4', '5', '9', '10', '14'])). 12.97/2.41 tff(fact_0__C1_C, axiom, 12.97/2.41 (inj_on_nat_nat(f,set_or562006527an_nat(zero_zero_nat,size_size_list_a(xs))))). 12.97/2.41 tff('16', plain, 12.97/2.41 inj_on_nat_nat(f, 12.97/2.41 set_or562006527an_nat(zero_zero_nat, size_size_list_a(xs))), 12.97/2.41 inference('cnf', [status(esa)], [fact_0__C1_C])). 12.97/2.41 tff('17', plain, 12.97/2.41 ![X1 : nat]: 12.97/2.41 set_ord_lessThan_nat(X1) = set_or562006527an_nat(zero_zero_nat, X1), 12.97/2.41 inference('ho_complete_eq', [status(thm)], ['11'])). 12.97/2.41 tff('18', plain, 12.97/2.41 inj_on_nat_nat(f, set_ord_lessThan_nat(size_size_list_a(xs))), 12.97/2.41 inference('demod', [status(thm)], ['16', '17'])). 12.97/2.41 tff(fact_71_image__mset__mset__set, axiom, 12.97/2.41 (![F:((nat > nat)),A2:set_nat]: 12.97/2.41 (inj_on_nat_nat(F,A2) => 12.97/2.41 (image_mset_nat_nat(F,mset_set_nat(A2)) = 12.97/2.41 mset_set_nat(image_nat_nat(F,A2)))))). 12.97/2.41 tff('19', plain, 12.97/2.41 ![X186 : nat > nat, X187 : set_nat]: 12.97/2.41 (image_mset_nat_nat(X186, mset_set_nat(X187)) 12.97/2.41 = mset_set_nat(image_nat_nat(X186, X187)) 12.97/2.41 | ~ inj_on_nat_nat(X186, X187)), 12.97/2.41 inference('cnf', [status(esa)], [fact_71_image__mset__mset__set])). 12.97/2.41 tff('20', plain, 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat(set_ord_lessThan_nat(size_size_list_a(xs)))) 12.97/2.41 = mset_set_nat( 12.97/2.41 image_nat_nat(f, set_ord_lessThan_nat(size_size_list_a(xs)))), 12.97/2.41 inference('sup-', [status(thm)], ['18', '19'])). 12.97/2.41 tff(fact_3__C2_C, axiom, 12.97/2.41 (image_nat_nat(f,set_or562006527an_nat(zero_zero_nat,size_size_list_a(xs))) = 12.97/2.41 set_or562006527an_nat(zero_zero_nat,size_size_list_a(ys)))). 12.97/2.41 tff('21', plain, 12.97/2.41 image_nat_nat(f, 12.97/2.41 set_or562006527an_nat(zero_zero_nat, size_size_list_a(xs))) 12.97/2.41 = set_or562006527an_nat(zero_zero_nat, size_size_list_a(ys)), 12.97/2.41 inference('cnf', [status(esa)], [fact_3__C2_C])). 12.97/2.41 tff('22', plain, '#_fresh_sk140'(zero_zero_int) = zero_zero_nat, 12.97/2.41 inference('sup+', [status(thm)], ['1', '3'])). 12.97/2.41 tff('23', plain, '#_fresh_sk140'(zero_zero_int) = zero_zero_nat, 12.97/2.41 inference('sup+', [status(thm)], ['1', '3'])). 12.97/2.41 tff('24', plain, 12.97/2.41 image_nat_nat(f, 12.97/2.41 set_or562006527an_nat('#_fresh_sk140'(zero_zero_int), 12.97/2.41 size_size_list_a(xs))) 12.97/2.41 = set_or562006527an_nat('#_fresh_sk140'(zero_zero_int), 12.97/2.41 size_size_list_a(ys)), 12.97/2.41 inference('demod', [status(thm)], ['21', '22', '23'])). 12.97/2.41 tff('25', plain, 12.97/2.41 ![X1 : nat]: 12.97/2.41 set_ord_lessThan_nat(X1) 12.97/2.41 = set_or562006527an_nat('#_fresh_sk140'(zero_zero_int), X1), 12.97/2.41 inference('demod', [status(thm)], ['12', '13'])). 12.97/2.41 tff('26', plain, 12.97/2.41 ![X1 : nat]: 12.97/2.41 set_ord_lessThan_nat(X1) 12.97/2.41 = set_or562006527an_nat('#_fresh_sk140'(zero_zero_int), X1), 12.97/2.41 inference('demod', [status(thm)], ['12', '13'])). 12.97/2.41 tff('27', plain, 12.97/2.41 image_nat_nat(f, set_ord_lessThan_nat(size_size_list_a(xs))) 12.97/2.41 = set_ord_lessThan_nat(size_size_list_a(ys)), 12.97/2.41 inference('demod', [status(thm)], ['24', '25', '26'])). 12.97/2.41 tff('28', plain, 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat(set_ord_lessThan_nat(size_size_list_a(xs)))) 12.97/2.41 = mset_set_nat(set_ord_lessThan_nat(size_size_list_a(ys))), 12.97/2.41 inference('demod', [status(thm)], ['20', '27'])). 12.97/2.41 tff('29', plain, 12.97/2.41 mset_a(xs) 12.97/2.41 = image_mset_nat_a(nth_a(ys), 12.97/2.41 mset_set_nat(set_ord_lessThan_nat(size_size_list_a(ys)))), 12.97/2.41 inference('demod', [status(thm)], ['15', '28'])). 12.97/2.41 tff(conj_0, conjecture, 12.97/2.41 (image_mset_nat_a(nth_a(ys), 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat(set_or562006527an_nat( 12.97/2.41 zero_zero_nat, 12.97/2.41 size_size_list_a(xs))))) = 12.97/2.41 image_mset_nat_a(nth_a(ys), 12.97/2.41 mset_set_nat(set_or562006527an_nat(zero_zero_nat, 12.97/2.41 size_size_list_a(ys)))))). 12.97/2.41 tff(zf_stmt_0, negated_conjecture, 12.97/2.41 (image_mset_nat_a(nth_a(ys), 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat(set_or562006527an_nat( 12.97/2.41 zero_zero_nat, 12.97/2.41 size_size_list_a(xs))))) != 12.97/2.41 image_mset_nat_a(nth_a(ys), 12.97/2.41 mset_set_nat(set_or562006527an_nat(zero_zero_nat, 12.97/2.41 size_size_list_a(ys)))))). 12.97/2.41 tff('30', plain, 12.97/2.41 image_mset_nat_a(nth_a(ys), 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat( 12.97/2.41 set_or562006527an_nat(zero_zero_nat, size_size_list_a(xs))))) 12.97/2.41 != image_mset_nat_a(nth_a(ys), 12.97/2.41 mset_set_nat( 12.97/2.41 set_or562006527an_nat(zero_zero_nat, size_size_list_a(ys)))), 12.97/2.41 inference('cnf', [status(esa)], [zf_stmt_0])). 12.97/2.41 tff('31', plain, '#_fresh_sk140'(zero_zero_int) = zero_zero_nat, 12.97/2.41 inference('sup+', [status(thm)], ['1', '3'])). 12.97/2.41 tff('32', plain, 12.97/2.41 ![X1 : nat]: 12.97/2.41 set_ord_lessThan_nat(X1) 12.97/2.41 = set_or562006527an_nat('#_fresh_sk140'(zero_zero_int), X1), 12.97/2.41 inference('demod', [status(thm)], ['12', '13'])). 12.97/2.41 tff('33', plain, '#_fresh_sk140'(zero_zero_int) = zero_zero_nat, 12.97/2.41 inference('sup+', [status(thm)], ['1', '3'])). 12.97/2.41 tff('34', plain, 12.97/2.41 ![X1 : nat]: 12.97/2.41 set_ord_lessThan_nat(X1) 12.97/2.41 = set_or562006527an_nat('#_fresh_sk140'(zero_zero_int), X1), 12.97/2.41 inference('demod', [status(thm)], ['12', '13'])). 12.97/2.41 tff('35', plain, 12.97/2.41 image_mset_nat_a(nth_a(ys), 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat(set_ord_lessThan_nat(size_size_list_a(xs))))) 12.97/2.41 != image_mset_nat_a(nth_a(ys), 12.97/2.41 mset_set_nat(set_ord_lessThan_nat(size_size_list_a(ys)))), 12.97/2.41 inference('demod', [status(thm)], ['30', '31', '32', '33', '34'])). 12.97/2.41 tff('36', plain, 12.97/2.41 mset_a(xs) 12.97/2.41 = image_mset_nat_a(nth_a(ys), 12.97/2.41 image_mset_nat_nat(f, 12.97/2.41 mset_set_nat(set_ord_lessThan_nat(size_size_list_a(xs))))), 12.97/2.41 inference('demod', [status(thm)], ['0', '4', '5', '9', '10', '14'])). 12.97/2.41 tff('37', plain, 12.97/2.41 mset_a(xs) 12.97/2.41 != image_mset_nat_a(nth_a(ys), 12.97/2.41 mset_set_nat(set_ord_lessThan_nat(size_size_list_a(ys)))), 12.97/2.41 inference('demod', [status(thm)], ['35', '36'])). 12.97/2.41 tff('38', plain, $false, 12.97/2.41 inference('simplify_reflect-', [status(thm)], ['29', '37'])). 12.97/2.41 12.97/2.41 % SZS output end Refutation 12.97/2.41 12.97/2.41 12.97/2.41 % Terminating... 13.33/2.50 % Runner terminated. 13.33/2.51 % Zipperpin 1.5 exiting 13.33/2.51 EOF