0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.16 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.cd3lgTMYSj 0.16/0.37 % Computer : n014.cluster.edu 0.16/0.37 % Model : x86_64 x86_64 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.37 % Memory : 8042.1875MB 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.37 % CPULimit : 1200 0.16/0.37 % DateTime : Tue Jul 13 12:23:34 EDT 2021 0.16/0.37 % CPUTime : 0.16/0.37 % Running portfolio for 120 s 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.37 % Number of cores: 8 0.16/0.38 % Python version: Python 3.6.8 0.16/0.38 % Running in HO mode 0.56/0.67 % Estimated wc time : 1286 0.56/0.67 % Estimated cpu time (7 cpus) : 183.71428571428572 0.56/0.72 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 24.28/4.08 % Solved by lams/c.easy.sh. 24.28/4.08 % Running : timeout 10 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.cd3lgTMYSj/e_inputb1721f --cpu-limit=8 --auto -s -p. 24.28/4.08 % done 874 iterations in 3.287s 24.28/4.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 24.28/4.08 % SZS output start Refutation 24.28/4.08 tff(fact_38_Suc__pred, axiom, 24.28/4.08 (![N:nat]: 24.28/4.08 (ord_less_nat(zero_zero_nat,N) => 24.28/4.08 (suc(minus_minus_nat(N,suc(zero_zero_nat))) = N)))). 24.28/4.08 tff('0', plain, 24.28/4.08 ![X593 : nat]: 24.28/4.08 (suc(minus_minus_nat(X593, suc(zero_zero_nat))) = X593 24.28/4.08 | ~ ord_less_nat(zero_zero_nat, X593)), 24.28/4.08 inference('cnf', [status(esa)], [fact_38_Suc__pred])). 24.28/4.08 tff(conj_16, axiom, (ord_less_nat(zero_zero_nat,m2))). 24.28/4.08 tff('1', plain, ord_less_nat(zero_zero_nat, m2), 24.28/4.08 inference('cnf', [status(esa)], [conj_16])). 24.28/4.08 tff(fact_159_Suc__n__not__le__n, axiom, 24.28/4.08 (![N:nat]: (~ord_less_eq_nat(suc(N),N)))). 24.28/4.08 tff('2', plain, ![X592 : nat]: ~ ord_less_eq_nat(suc(X592), X592), 24.28/4.08 inference('cnf', [status(esa)], [fact_159_Suc__n__not__le__n])). 24.28/4.08 tff(fact_249_gr0__conv__Suc, axiom, 24.28/4.08 (![N:nat]: (ord_less_nat(zero_zero_nat,N) <=> (?[M6:nat]: (N = suc(M6)))))). 24.28/4.08 tff('3', plain, 24.28/4.08 ![X788 : nat]: 24.28/4.08 (X788 = suc(sk_M6(X788)) | ~ ord_less_nat(zero_zero_nat, X788)), 24.28/4.08 inference('cnf', [status(esa)], [fact_249_gr0__conv__Suc])). 24.28/4.08 tff(fact_136_le__antisym, axiom, 24.28/4.08 (![M:nat,N:nat]: 24.28/4.08 (ord_less_eq_nat(M,N) => (ord_less_eq_nat(N,M) => (M = N))))). 24.28/4.08 tff('4', plain, 24.28/4.08 ![X698 : nat, X699 : nat]: 24.28/4.08 (~ ord_less_eq_nat(X698, X699) 24.28/4.08 | X699 = X698 24.28/4.08 | ~ ord_less_eq_nat(X699, X698)), 24.28/4.08 inference('cnf', [status(esa)], [fact_136_le__antisym])). 24.28/4.08 tff(fact_135_nat__le__linear, axiom, 24.28/4.08 (![M:nat,N:nat]: (ord_less_eq_nat(M,N) | ord_less_eq_nat(N,M)))). 24.28/4.08 tff('5', plain, 24.28/4.08 ![X827 : nat, X828 : nat]: 24.28/4.08 ( ord_less_eq_nat(X827, X828) | ord_less_eq_nat(X828, X827)), 24.28/4.08 inference('cnf', [status(esa)], [fact_135_nat__le__linear])). 24.28/4.08 tff(fact_161_Suc__le__D, axiom, 24.28/4.08 (![N:nat,M4:nat]: 24.28/4.08 (ord_less_eq_nat(suc(N),M4) => (?[M5:nat]: (M4 = suc(M5)))))). 24.28/4.08 tff('6', plain, 24.28/4.08 ![X700 : nat, X701 : nat]: 24.28/4.08 (X700 = suc(sk_M5_1(X700)) | ~ ord_less_eq_nat(suc(X701), X700)), 24.28/4.08 inference('cnf', [status(esa)], [fact_161_Suc__le__D])). 24.28/4.08 tff(fact_172_Zero__not__Suc, axiom, (![M:nat]: (zero_zero_nat != suc(M)))). 24.28/4.08 tff('7', plain, ![X191 : nat]: zero_zero_nat != suc(X191), 24.28/4.08 inference('cnf', [status(esa)], [fact_172_Zero__not__Suc])). 24.28/4.08 tff(fact_171_old_Onat_Oexhaust, axiom, 24.28/4.08 (![Y4:nat]: ((Y4 != zero_zero_nat) => (~(![Nat3:nat]: (Y4 != suc(Nat3))))))). 24.28/4.08 tff('8', plain, 24.28/4.08 ![X529 : nat]: (X529 = suc(sk_Nat3(X529)) | X529 = zero_zero_nat), 24.28/4.08 inference('cnf', [status(esa)], [fact_171_old_Onat_Oexhaust])). 24.28/4.08 tff(fact_92_zero__less__Suc, axiom, 24.28/4.08 (![N:nat]: ord_less_nat(zero_zero_nat,suc(N)))). 24.28/4.08 tff('9', plain, ![X681 : nat]: ord_less_nat(zero_zero_nat, suc(X681)), 24.28/4.08 inference('cnf', [status(esa)], [fact_92_zero__less__Suc])). 24.28/4.08 tff(fact_247_gr0__implies__Suc, axiom, 24.28/4.08 (![N:nat]: (ord_less_nat(zero_zero_nat,N) => (?[M5:nat]: (N = suc(M5)))))). 24.28/4.08 tff('10', plain, 24.28/4.08 ![X916 : nat]: 24.28/4.08 (X916 = suc(sk_M5_2(X916)) | ~ ord_less_nat(zero_zero_nat, X916)), 24.28/4.08 inference('cnf', [status(esa)], [fact_247_gr0__implies__Suc])). 24.28/4.08 tff(fact_57_nat_Oinject, axiom, 24.28/4.08 (![X22:nat,Y2:nat]: ((suc(X22) = suc(Y2)) <=> (X22 = Y2)))). 24.28/4.08 tff('11', plain, 24.28/4.08 ![X538 : nat, X539 : nat]: (X539 = X538 | suc(X539) != suc(X538)), 24.28/4.08 inference('cnf', [status(esa)], [fact_57_nat_Oinject])). 24.28/4.08 tff(fact_168_less__eq__nat_Osimps_I1_J, axiom, 24.28/4.08 (![N:nat]: ord_less_eq_nat(zero_zero_nat,N))). 24.28/4.08 tff('12', plain, ![X4 : nat]: ord_less_eq_nat(zero_zero_nat, X4), 24.28/4.08 inference('cnf', [status(esa)], [fact_168_less__eq__nat_Osimps_I1_J])). 24.28/4.08 tff(fact_295_empty__Collect__eq, axiom, 24.28/4.08 (![P:((nat > $o))]: 24.28/4.08 ((bot_bot_set_nat = collect_nat(P)) <=> (![X3:nat]: (~P(X3)))))). 24.28/4.08 tff('13', plain, 24.28/4.08 ![X216 : nat > $o]: 24.28/4.08 (bot_bot_set_nat = collect_nat(X216) | X216(sk_X3_1(X216))), 24.28/4.08 inference('cnf', [status(esa)], [fact_295_empty__Collect__eq])). 24.28/4.08 tff('14', plain, 24.28/4.08 (bot_bot_set_nat = collect_nat((^[Y0 : nat]: $false)) 24.28/4.08 | (^[Y0 : nat]: $false)(sk_X3_1((^[Y0 : nat]: $false)))), 24.28/4.08 inference('ho.refine', [status(thm)], ['13'])). 24.28/4.08 tff('15', plain, bot_bot_set_nat = collect_nat((^[Y0 : nat]: $false)), 24.28/4.08 inference('ho_norm', [status(thm)], ['14'])). 24.28/4.08 tff('16', plain, ord_less_nat(zero_zero_nat, m2), 24.28/4.08 inference('cnf', [status(esa)], [conj_16])). 24.28/4.08 tff('17', plain, 24.28/4.08 ![X214 : nat > $o, X215 : nat]: 24.28/4.08 (~ X214(X215) | bot_bot_set_nat != collect_nat(X214)), 24.28/4.08 inference('cnf', [status(esa)], [fact_295_empty__Collect__eq])). 24.28/4.08 tff('18', plain, 24.28/4.08 bot_bot_set_nat 24.28/4.08 != collect_nat( 24.28/4.08 (^[Y0 : nat]: 24.28/4.08 ord_less_nat((^[Y1 : nat]: Y1)(Y0), (^[Y1 : nat]: m2)(Y0)))), 24.28/4.08 inference('sup-', [status(thm)], ['16', '17'])). 24.28/4.08 tff('19', plain, 24.28/4.08 bot_bot_set_nat != collect_nat((^[Y0 : nat]: ord_less_nat(Y0, m2))), 24.28/4.08 inference('ho_norm', [status(thm)], ['18'])). 24.28/4.08 tff('20', plain, 24.28/4.08 ((^[Y0 : nat]: $false) != (^[Y0 : nat]: ord_less_nat(Y0, m2)) 24.28/4.08 | bot_bot_set_nat != bot_bot_set_nat), 24.28/4.08 inference('ext_sup', [status(thm)], ['15', '19'])). 24.28/4.08 tff('21', plain, 24.28/4.08 (^[Y0 : nat]: $false) != (^[Y0 : nat]: ord_less_nat(Y0, m2)), 24.28/4.08 inference('simplify', [status(thm)], ['20'])). 24.28/4.08 tff('22', plain, 24.28/4.08 (^[Y0 : nat]: $false)('#_fresh_sk1853') 24.28/4.08 != (^[Y0 : nat]: ord_less_nat(Y0, m2))('#_fresh_sk1853'), 24.28/4.08 inference('neg_ext', [status(thm)], ['21'])). 24.28/4.08 tff('23', plain, ord_less_nat('#_fresh_sk1853', m2), 24.28/4.08 inference('ho_norm', [status(thm)], ['22'])). 24.28/4.08 tff(conj_20, axiom, ((g(xa) = h2) | member_a(g(xa),h1))). 24.28/4.08 tff('24', plain, (g(xa) = h2 | member_a(g(xa), h1)), 24.28/4.08 inference('cnf', [status(esa)], [conj_20])). 24.28/4.08 tff(conj_21, conjecture, (member_a(g(xa),h1))). 24.28/4.08 tff(zf_stmt_0, negated_conjecture, (~member_a(g(xa),h1))). 24.28/4.08 tff('25', plain, ~ member_a(g(xa), h1), 24.28/4.08 inference('cnf', [status(esa)], [zf_stmt_0])). 24.28/4.08 tff('26', plain, g(xa) = h2, inference('clc', [status(thm)], ['24', '25'])). 24.28/4.08 tff(conj_19, axiom, 24.28/4.08 (ord_less_eq_nat(xa,minus_minus_nat(m2,suc(zero_zero_nat))))). 24.28/4.08 tff('27', plain, 24.28/4.08 ord_less_eq_nat(xa, minus_minus_nat(m2, suc(zero_zero_nat))), 24.28/4.08 inference('cnf', [status(esa)], [conj_19])). 24.28/4.08 tff(fact_55_diff__is__0__eq_H, axiom, 24.28/4.08 (![M:nat,N:nat]: 24.28/4.08 (ord_less_eq_nat(M,N) => (minus_minus_nat(M,N) = zero_zero_nat)))). 24.28/4.08 tff('28', plain, 24.28/4.08 ![X121 : nat, X122 : nat]: 24.28/4.08 (minus_minus_nat(X121, X122) = zero_zero_nat 24.28/4.08 | ~ ord_less_eq_nat(X121, X122)), 24.28/4.08 inference('cnf', [status(esa)], [fact_55_diff__is__0__eq_H])). 24.28/4.08 tff(fact_196_not__less__eq, axiom, 24.28/4.08 (![M:nat,N:nat]: ((~ord_less_nat(M,N)) <=> ord_less_nat(N,suc(M))))). 24.28/4.08 tff('29', plain, 24.28/4.08 ![X47 : nat, X48 : nat]: 24.28/4.08 ( ord_less_nat(X47, suc(X48)) | ord_less_nat(X48, X47)), 24.28/4.08 inference('cnf', [status(esa)], [fact_196_not__less__eq])). 24.28/4.08 tff(fact_238_less__Suc__eq__le, axiom, 24.28/4.08 (![M:nat,N:nat]: (ord_less_nat(M,suc(N)) <=> ord_less_eq_nat(M,N)))). 24.28/4.08 tff('30', plain, 24.28/4.08 ![X746 : nat, X747 : nat]: 24.28/4.08 ( ord_less_eq_nat(X746, X747) | ~ ord_less_nat(X746, suc(X747))), 24.28/4.08 inference('cnf', [status(esa)], [fact_238_less__Suc__eq__le])). 24.28/4.08 tff(fact_277_linear__comb0__2Tr, axiom, 24.28/4.08 (![A2:set_b,S:((nat > b)),N:nat,M:((nat > a))]: 24.28/4.08 (ideal_b_d(r,A2) => 24.28/4.08 ((member_nat_b(S, 24.28/4.08 pi_nat_b(collect_nat(^[J2:nat]: ord_less_eq_nat(J2,N)), 24.28/4.08 ^[Uu:nat]: A2)) & 24.28/4.08 member_nat_a(M, 24.28/4.08 pi_nat_a(collect_nat(^[J2:nat]: ord_less_eq_nat(J2,N)), 24.28/4.08 ^[Uu:nat]: 24.28/4.08 insert_a(zero_a1261444626_a_b_c(m), 24.28/4.08 bot_bot_set_a)))) => 24.28/4.08 (l_comb_b_d_a_c(r,m,N,S,M) = zero_a1261444626_a_b_c(m)))))). 24.28/4.08 tff('31', plain, 24.28/4.08 ![X24 : nat > b, X25 : nat, X26 : set_b, X27 : nat > a]: 24.28/4.08 (~ member_nat_b(X24, 24.28/4.08 pi_nat_b(collect_nat((^[Y0 : nat]: ord_less_eq_nat(Y0, X25))), 24.28/4.08 (^[Y0 : nat]: X26))) 24.28/4.08 | ~ ideal_b_d(r, X26) 24.28/4.08 | l_comb_b_d_a_c(r, m, X25, X24, X27) = zero_a1261444626_a_b_c(m) 24.28/4.08 | ~ member_nat_a(X27, 24.28/4.08 pi_nat_a(collect_nat((^[Y0 : nat]: ord_less_eq_nat(Y0, X25))), 24.28/4.08 (^[Y0 : nat]: 24.28/4.08 insert_a(zero_a1261444626_a_b_c(m), bot_bot_set_a))))), 24.28/4.08 inference('cnf', [status(esa)], [fact_277_linear__comb0__2Tr])). 24.28/4.08 tff('32', plain, 24.28/4.08 ![X25 : nat, X28 : nat]: 24.28/4.08 '#l_lift4980'(X25, X28) = ord_less_eq_nat(X28, X25), 24.28/4.08 define([status(thm)])). 24.28/4.08 tff(conj_3, axiom, (g(m2) = h2)). 24.28/4.08 tff('33', plain, g(m2) = h2, inference('cnf', [status(esa)], [conj_3])). 24.28/4.08 tff('34', plain, 24.28/4.08 ![X746 : nat, X748 : nat]: 24.28/4.08 ( ord_less_nat(X746, suc(X748)) | ~ ord_less_eq_nat(X746, X748)), 24.28/4.08 inference('cnf', [status(esa)], [fact_238_less__Suc__eq__le])). 24.28/4.08 tff(fact_184_less__or__eq__imp__le, axiom, 24.28/4.08 (![M:nat,N:nat]: (((M = N) | ord_less_nat(M,N)) => ord_less_eq_nat(M,N)))). 24.28/4.08 tff('35', plain, 24.28/4.08 ![X146 : nat, X147 : nat]: ( ord_less_eq_nat(X146, X147) | X146 != X147), 24.28/4.08 inference('cnf', [status(esa)], [fact_184_less__or__eq__imp__le])). 24.28/4.08 tff('36', plain, ![X147 : nat]: ord_less_eq_nat(X147, X147), 24.28/4.08 inference('simplify', [status(thm)], ['35'])). 24.28/4.08 tff(conj_1, axiom, 24.28/4.08 (![X4:nat]: 24.28/4.08 (ord_less_eq_nat(X4,m2) => 24.28/4.08 (![Y3:nat]: (ord_less_eq_nat(Y3,m2) => ((g(X4) = g(Y3)) => (X4 = Y3))))))). 24.28/4.08 tff('37', plain, 24.28/4.08 ![X683 : nat, X684 : nat]: 24.28/4.08 (~ ord_less_eq_nat(X683, m2) 24.28/4.08 | X684 = X683 24.28/4.08 | g(X684) != g(X683) 24.28/4.08 | ~ ord_less_eq_nat(X684, m2)), 24.28/4.08 inference('cnf', [status(esa)], [conj_1])). 24.28/4.08 tff(fact_78_diff__diff__cancel, axiom, 24.28/4.08 (![I:nat,N:nat]: 24.28/4.08 (ord_less_eq_nat(I,N) => (minus_minus_nat(N,minus_minus_nat(N,I)) = I)))). 24.28/4.08 tff('38', plain, 24.28/4.08 ![X298 : nat, X299 : nat]: 24.28/4.08 (minus_minus_nat(X299, minus_minus_nat(X299, X298)) = X298 24.28/4.08 | ~ ord_less_eq_nat(X298, X299)), 24.28/4.08 inference('cnf', [status(esa)], [fact_78_diff__diff__cancel])). 24.28/4.08 tff(fact_222_less__imp__diff__less, axiom, 24.28/4.08 (![J3:nat,K2:nat,N:nat]: 24.28/4.08 (ord_less_nat(J3,K2) => ord_less_nat(minus_minus_nat(J3,N),K2)))). 24.28/4.08 tff('39', plain, 24.28/4.08 ![X716 : nat, X717 : nat, X718 : nat]: 24.28/4.08 (~ ord_less_nat(X716, X717) 24.28/4.08 | ord_less_nat(minus_minus_nat(X716, X718), X717)), 24.28/4.08 inference('cnf', [status(esa)], [fact_222_less__imp__diff__less])). 24.28/4.08 tff(fact_254_diff__less__Suc, axiom, 24.28/4.08 (![M:nat,N:nat]: ord_less_nat(minus_minus_nat(M,N),suc(M)))). 24.28/4.08 tff('40', plain, 24.28/4.08 ![X480 : nat, X481 : nat]: 24.28/4.08 ord_less_nat(minus_minus_nat(X480, X481), suc(X480)), 24.28/4.08 inference('cnf', [status(esa)], [fact_254_diff__less__Suc])). 24.28/4.08 tff('41', plain, 24.28/4.08 ![X48 : nat, X49 : nat]: 24.28/4.08 (~ ord_less_nat(X48, X49) | ~ ord_less_nat(X49, suc(X48))), 24.28/4.08 inference('cnf', [status(esa)], [fact_196_not__less__eq])). 24.28/4.08 tff('42', plain, $false, 24.28/4.08 inference('eprover', [status(thm)], 24.28/4.08 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11', 24.28/4.08 '12', '23', '26', '27', '28', '29', '30', '32', '33', '34', 24.28/4.08 '36', '37', '38', '39', '40', '41'])). 24.28/4.08 24.28/4.08 % SZS output end Refutation 24.28/4.08 24.28/4.08 24.28/4.08 % Terminating... 24.97/4.17 % Runner terminated. 24.97/4.18 % Zipperpin 1.5 exiting 24.97/4.19 EOF