0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.Tpm4EOBFZH 0.11/0.32 % Computer : n028.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % DateTime : Thu Jul 2 07:14:36 EDT 2020 0.11/0.33 % CPUTime : 0.11/0.33 % Running portfolio for 120 s 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.33 % Number of cores: 8 0.11/0.33 % Python version: Python 3.6.8 0.11/0.33 % Running in FO mode 26.27/26.58 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 26.27/26.58 % Warning: 26.27/26.58 % To remain in the chosen logic fragment, unification with booleans has been disabled. 26.27/26.58 % 26.27/26.58 % Running /export/starexec/sandbox2/solver/bin/fo/fo8.sh for 20 26.27/26.58 % Solved by: fo/fo8.sh 26.27/26.58 To remain in the chosen logic fragment, unification with booleans has been disabled. 26.27/26.58 % done 428 iterations in 1.113s 26.27/26.58 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 26.27/26.58 % SZS output start Refutation 26.27/26.58 tff(prove_intersect_with_union, conjecture, 26.27/26.58 (![B,C,D]: (intersect(B,union(C,D)) <=> (intersect(B,D) | intersect(B,C))))). 26.27/26.58 tff(zf_stmt_0, negated_conjecture, 26.27/26.58 (~ 26.27/26.58 (![B,C,D]: 26.27/26.58 (intersect(B,union(C,D)) <=> (intersect(B,D) | intersect(B,C)))))). 26.27/26.58 tff('0', plain, 26.27/26.58 (~ intersect(sk_B, sk_D_1) | ~ intersect(sk_B, union(sk_C, sk_D_1))), 26.27/26.58 inference('cnf', [status(esa)], [zf_stmt_0])). 26.27/26.58 tff(commutativity_of_union, axiom, (![B,C]: (union(C,B) = union(B,C)))). 26.27/26.58 tff('1', plain, ![X15, X16]: union(X16, X15) = union(X15, X16), 26.27/26.58 inference('cnf', [status(esa)], [commutativity_of_union])). 26.27/26.58 tff('2', plain, 26.27/26.58 (~ intersect(sk_B, sk_D_1) | ~ intersect(sk_B, union(sk_D_1, sk_C))), 26.27/26.58 inference('demod', [status(thm)], ['0', '1'])). 26.27/26.58 tff('3', plain, 26.27/26.58 ( intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, union(sk_C, sk_D_1))), 26.27/26.58 inference('cnf', [status(esa)], [zf_stmt_0])). 26.27/26.58 tff('4', plain, ![X15, X16]: union(X16, X15) = union(X15, X16), 26.27/26.58 inference('cnf', [status(esa)], [commutativity_of_union])). 26.27/26.58 tff('5', plain, 26.27/26.58 ( intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, union(sk_D_1, sk_C))), 26.27/26.58 inference('demod', [status(thm)], ['3', '4'])). 26.27/26.58 tff(intersect_defn, axiom, 26.27/26.58 (![B,C]: ((?[D]: (member(D,C) & member(D,B))) <=> intersect(B,C)))). 26.27/26.58 tff('6', plain, ![X0, X3]: ( member(sk_D(X3, X0), X3) | ~ intersect(X0, X3)), 26.27/26.58 inference('cnf', [status(esa)], [intersect_defn])). 26.27/26.58 tff('7', plain, 26.27/26.58 ( intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, sk_C) 26.27/26.58 | member(sk_D(union(sk_D_1, sk_C), sk_B), union(sk_D_1, sk_C))), 26.27/26.58 inference('sup-', [status(thm)], ['5', '6'])). 26.27/26.58 tff(union_defn, axiom, 26.27/26.58 (![B,C,D]: ((member(D,C) | member(D,B)) <=> member(D,union(B,C))))). 26.27/26.58 tff('8', plain, 26.27/26.58 ![X12, X13, X14]: 26.27/26.58 ( member(X14, X12) | member(X14, X13) | ~ member(X14, union(X12, X13))), 26.27/26.58 inference('cnf', [status(esa)], [union_defn])). 26.27/26.58 tff('9', plain, 26.27/26.58 ( intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | member(sk_D(union(sk_D_1, sk_C), sk_B), sk_C) 26.27/26.58 | member(sk_D(union(sk_D_1, sk_C), sk_B), sk_D_1)), 26.27/26.58 inference('sup-', [status(thm)], ['7', '8'])). 26.27/26.58 tff('10', plain, 26.27/26.58 ( intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, union(sk_D_1, sk_C))), 26.27/26.58 inference('demod', [status(thm)], ['3', '4'])). 26.27/26.58 tff('11', plain, 26.27/26.58 ![X0, X3]: ( member(sk_D(X3, X0), X0) | ~ intersect(X0, X3)), 26.27/26.58 inference('cnf', [status(esa)], [intersect_defn])). 26.27/26.58 tff('12', plain, 26.27/26.58 ( intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, sk_C) 26.27/26.58 | member(sk_D(union(sk_D_1, sk_C), sk_B), sk_B)), 26.27/26.58 inference('sup-', [status(thm)], ['10', '11'])). 26.27/26.58 tff('13', plain, 26.27/26.58 ![X0, X1, X2]: ( intersect(X0, X1) | ~ member(X2, X0) | ~ member(X2, X1)), 26.27/26.58 inference('cnf', [status(esa)], [intersect_defn])). 26.27/26.58 tff('14', plain, 26.27/26.58 ![X0]: 26.27/26.58 ( intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | ~ member(sk_D(union(sk_D_1, sk_C), sk_B), X0) 26.27/26.58 | intersect(sk_B, X0)), 26.27/26.58 inference('sup-', [status(thm)], ['12', '13'])). 26.27/26.58 tff('15', plain, 26.27/26.58 ( member(sk_D(union(sk_D_1, sk_C), sk_B), sk_D_1) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, sk_C)), 26.27/26.58 inference('sup-', [status(thm)], ['9', '14'])). 26.27/26.58 tff('16', plain, 26.27/26.58 ( intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | member(sk_D(union(sk_D_1, sk_C), sk_B), sk_D_1)), 26.27/26.58 inference('simplify', [status(thm)], ['15'])). 26.27/26.58 tff('17', plain, 26.27/26.58 ![X0]: 26.27/26.58 ( intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | ~ member(sk_D(union(sk_D_1, sk_C), sk_B), X0) 26.27/26.58 | intersect(sk_B, X0)), 26.27/26.58 inference('sup-', [status(thm)], ['12', '13'])). 26.27/26.58 tff('18', plain, 26.27/26.58 ( intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, sk_C) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, sk_C)), 26.27/26.58 inference('sup-', [status(thm)], ['16', '17'])). 26.27/26.58 tff('19', plain, ( intersect(sk_B, sk_C) | intersect(sk_B, sk_D_1)), 26.27/26.58 inference('simplify', [status(thm)], ['18'])). 26.27/26.58 tff('20', plain, 26.27/26.58 ![X0, X3]: ( member(sk_D(X3, X0), X3) | ~ intersect(X0, X3)), 26.27/26.58 inference('cnf', [status(esa)], [intersect_defn])). 26.27/26.58 tff('21', plain, 26.27/26.58 ( intersect(sk_B, sk_D_1) | member(sk_D(sk_C, sk_B), sk_C)), 26.27/26.58 inference('sup-', [status(thm)], ['19', '20'])). 26.27/26.58 tff('22', plain, 26.27/26.58 ![X11, X12, X13]: ( member(X11, union(X12, X13)) | ~ member(X11, X13)), 26.27/26.58 inference('cnf', [status(esa)], [union_defn])). 26.27/26.58 tff('23', plain, 26.27/26.58 ![X0]: 26.27/26.58 ( intersect(sk_B, sk_D_1) | member(sk_D(sk_C, sk_B), union(X0, sk_C))), 26.27/26.58 inference('sup-', [status(thm)], ['21', '22'])). 26.27/26.58 tff('24', plain, ( intersect(sk_B, sk_C) | intersect(sk_B, sk_D_1)), 26.27/26.58 inference('simplify', [status(thm)], ['18'])). 26.27/26.58 tff('25', plain, 26.27/26.58 ![X0, X3]: ( member(sk_D(X3, X0), X0) | ~ intersect(X0, X3)), 26.27/26.58 inference('cnf', [status(esa)], [intersect_defn])). 26.27/26.58 tff('26', plain, 26.27/26.58 ( intersect(sk_B, sk_D_1) | member(sk_D(sk_C, sk_B), sk_B)), 26.27/26.58 inference('sup-', [status(thm)], ['24', '25'])). 26.27/26.58 tff('27', plain, 26.27/26.58 ![X0, X1, X2]: ( intersect(X0, X1) | ~ member(X2, X0) | ~ member(X2, X1)), 26.27/26.58 inference('cnf', [status(esa)], [intersect_defn])). 26.27/26.58 tff('28', plain, 26.27/26.58 ![X0]: 26.27/26.58 ( intersect(sk_B, sk_D_1) 26.27/26.58 | ~ member(sk_D(sk_C, sk_B), X0) 26.27/26.58 | intersect(sk_B, X0)), 26.27/26.58 inference('sup-', [status(thm)], ['26', '27'])). 26.27/26.58 tff('29', plain, 26.27/26.58 ![X0]: 26.27/26.58 ( intersect(sk_B, sk_D_1) 26.27/26.58 | intersect(sk_B, union(X0, sk_C)) 26.27/26.58 | intersect(sk_B, sk_D_1)), 26.27/26.58 inference('sup-', [status(thm)], ['23', '28'])). 26.27/26.58 tff('30', plain, 26.27/26.58 ![X0]: ( intersect(sk_B, union(X0, sk_C)) | intersect(sk_B, sk_D_1)), 26.27/26.58 inference('simplify', [status(thm)], ['29'])). 26.27/26.58 tff('31', plain, 26.27/26.58 (~ intersect(sk_B, sk_C) | ~ intersect(sk_B, union(sk_C, sk_D_1))), 26.27/26.58 inference('cnf', [status(esa)], [zf_stmt_0])). 26.27/26.58 tff('32', plain, ![X15, X16]: union(X16, X15) = union(X15, X16), 26.27/26.58 inference('cnf', [status(esa)], [commutativity_of_union])). 26.27/26.58 tff('33', plain, 26.27/26.58 (~ intersect(sk_B, sk_C) | ~ intersect(sk_B, union(sk_D_1, sk_C))), 26.27/26.58 inference('demod', [status(thm)], ['31', '32'])). 26.27/26.58 tff('34', plain, ( intersect(sk_B, sk_D_1) | ~ intersect(sk_B, sk_C)), 26.27/26.58 inference('sup-', [status(thm)], ['30', '33'])). 26.27/26.58 tff('35', plain, ( intersect(sk_B, sk_C) | intersect(sk_B, sk_D_1)), 26.27/26.58 inference('simplify', [status(thm)], ['18'])). 26.27/26.58 tff('36', plain, intersect(sk_B, sk_D_1), 26.27/26.58 inference('clc', [status(thm)], ['34', '35'])). 26.27/26.58 tff('37', plain, ~ intersect(sk_B, union(sk_D_1, sk_C)), 26.27/26.58 inference('demod', [status(thm)], ['2', '36'])). 26.27/26.58 tff('38', plain, ![X15, X16]: union(X16, X15) = union(X15, X16), 26.27/26.58 inference('cnf', [status(esa)], [commutativity_of_union])). 26.27/26.58 tff('39', plain, intersect(sk_B, sk_D_1), 26.27/26.58 inference('clc', [status(thm)], ['34', '35'])). 26.27/26.58 tff('40', plain, 26.27/26.58 ![X0, X3]: ( member(sk_D(X3, X0), X3) | ~ intersect(X0, X3)), 26.27/26.58 inference('cnf', [status(esa)], [intersect_defn])). 26.27/26.58 tff('41', plain, member(sk_D(sk_D_1, sk_B), sk_D_1), 26.27/26.58 inference('sup-', [status(thm)], ['39', '40'])). 26.27/26.58 tff('42', plain, 26.27/26.58 ![X11, X12, X13]: ( member(X11, union(X12, X13)) | ~ member(X11, X13)), 26.27/26.58 inference('cnf', [status(esa)], [union_defn])). 26.27/26.58 tff('43', plain, ![X0]: member(sk_D(sk_D_1, sk_B), union(X0, sk_D_1)), 26.27/26.58 inference('sup-', [status(thm)], ['41', '42'])). 26.27/26.58 tff('44', plain, intersect(sk_B, sk_D_1), 26.27/26.58 inference('clc', [status(thm)], ['34', '35'])). 26.27/26.58 tff('45', plain, 26.27/26.58 ![X0, X3]: ( member(sk_D(X3, X0), X0) | ~ intersect(X0, X3)), 26.27/26.58 inference('cnf', [status(esa)], [intersect_defn])). 26.27/26.58 tff('46', plain, member(sk_D(sk_D_1, sk_B), sk_B), 26.27/26.58 inference('sup-', [status(thm)], ['44', '45'])). 26.27/26.58 tff('47', plain, 26.27/26.58 ![X0, X1, X2]: ( intersect(X0, X1) | ~ member(X2, X0) | ~ member(X2, X1)), 26.27/26.58 inference('cnf', [status(esa)], [intersect_defn])). 26.27/26.58 tff('48', plain, 26.27/26.58 ![X0]: (~ member(sk_D(sk_D_1, sk_B), X0) | intersect(sk_B, X0)), 26.27/26.58 inference('sup-', [status(thm)], ['46', '47'])). 26.27/26.58 tff('49', plain, ![X0]: intersect(sk_B, union(X0, sk_D_1)), 26.27/26.58 inference('sup-', [status(thm)], ['43', '48'])). 26.27/26.58 tff('50', plain, ![X0]: intersect(sk_B, union(sk_D_1, X0)), 26.27/26.58 inference('sup+', [status(thm)], ['38', '49'])). 26.27/26.58 tff('51', plain, $false, inference('demod', [status(thm)], ['37', '50'])). 26.27/26.58 26.27/26.58 % SZS output end Refutation 26.27/26.58 26.27/26.58 % Zipperpin 1.5 exiting 26.27/26.59 EOF