0.04/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.16 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.D6hB2YVV1y 0.17/0.38 % Computer : n024.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 960 0.17/0.38 % DateTime : Thu Jul 2 06:39:56 EDT 2020 0.25/0.39 % CPUTime : 0.25/0.39 % Running portfolio for 120 s 0.25/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.25/0.39 % Number of cores: 8 0.25/0.39 % Python version: Python 3.6.8 0.25/0.39 % Running in FO mode 0.50/0.71 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 0.50/0.71 % Solved by: fo/fo7.sh 0.50/0.71 To remain in the chosen logic fragment, unification with booleans has been disabled. 0.50/0.71 % done 348 iterations in 0.205s 0.50/0.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.50/0.71 % SZS output start Refutation 0.50/0.71 tff(theorem_3_8_1, conjecture, 0.50/0.71 (![C,P,Q,R]: 0.50/0.71 (between_c(C,P,Q,R) => 0.50/0.71 (incident_c(P,C) & incident_c(R,C) & (R != P) & (R != Q) & (P != Q) & 0.50/0.71 incident_c(Q,C))))). 0.50/0.71 tff(zf_stmt_0, negated_conjecture, 0.50/0.71 (~ 0.50/0.71 (![C,P,Q,R]: 0.50/0.71 (between_c(C,P,Q,R) => 0.50/0.71 (incident_c(P,C) & incident_c(R,C) & (R != P) & (R != Q) & 0.50/0.71 (P != Q) & incident_c(Q,C)))))). 0.50/0.71 tff('0', plain, 0.50/0.71 (~ incident_c(sk_P_5, sk_C_1) 0.50/0.71 | ~ incident_c(sk_R, sk_C_1) 0.50/0.71 | sk_R = sk_P_5 0.50/0.71 | sk_R = sk_Q_3 0.50/0.71 | sk_P_5 = sk_Q_3 0.50/0.71 | ~ incident_c(sk_Q_3, sk_C_1)), 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_0])). 0.50/0.71 tff('1', plain, 0.50/0.71 (~ incident_c(sk_R, sk_C_1)) <= (~ ( incident_c(sk_R, sk_C_1))), 0.50/0.71 inference('split', [status(esa)], ['0'])). 0.50/0.71 tff('2', plain, between_c(sk_C_1, sk_P_5, sk_Q_3, sk_R), 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_0])). 0.50/0.71 tff(between_c_defn, axiom, 0.50/0.71 (![C,P,Q,R]: 0.50/0.71 (((R != P) & 0.50/0.71 (?[Cpp]: 0.50/0.71 (part_of(Cpp,C) & end_point(R,Cpp) & inner_point(Q,Cpp) & 0.50/0.71 end_point(P,Cpp)))) <=> 0.50/0.71 between_c(C,P,Q,R)))). 0.50/0.71 tff('3', plain, 0.50/0.71 ![X55, X56, X57, X60]: 0.50/0.71 ( end_point(X60, sk_Cpp(X60, X57, X56, X55)) 0.50/0.71 | ~ between_c(X55, X56, X57, X60)), 0.50/0.71 inference('cnf', [status(esa)], [between_c_defn])). 0.50/0.71 tff('4', plain, end_point(sk_R, sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1)), 0.50/0.71 inference('sup-', [status(thm)], ['2', '3'])). 0.50/0.71 tff(end_point_defn, axiom, 0.50/0.71 (![P,C]: 0.50/0.71 (((![C1,C2]: 0.50/0.71 ((part_of(C1,C) & incident_c(P,C2) & part_of(C2,C) & 0.50/0.71 incident_c(P,C1)) => 0.50/0.71 (part_of(C2,C1) | part_of(C1,C2)))) & 0.50/0.71 incident_c(P,C)) <=> 0.50/0.71 end_point(P,C)))). 0.50/0.71 tff('5', plain, ![X12, X16]: ( incident_c(X12, X16) | ~ end_point(X12, X16)), 0.50/0.71 inference('cnf', [status(esa)], [end_point_defn])). 0.50/0.71 tff('6', plain, incident_c(sk_R, sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1)), 0.50/0.71 inference('sup-', [status(thm)], ['4', '5'])). 0.50/0.71 tff('7', plain, between_c(sk_C_1, sk_P_5, sk_Q_3, sk_R), 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_0])). 0.50/0.71 tff('8', plain, 0.50/0.71 ![X55, X56, X57, X60]: 0.50/0.71 ( part_of(sk_Cpp(X60, X57, X56, X55), X55) 0.50/0.71 | ~ between_c(X55, X56, X57, X60)), 0.50/0.71 inference('cnf', [status(esa)], [between_c_defn])). 0.50/0.71 tff('9', plain, part_of(sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1), sk_C_1), 0.50/0.71 inference('sup-', [status(thm)], ['7', '8'])). 0.50/0.71 tff(part_of_defn, axiom, 0.50/0.71 (![C,C1]: ((![P]: (incident_c(P,C1) => incident_c(P,C))) <=> part_of(C1,C)))). 0.50/0.71 tff('10', plain, 0.50/0.71 ![X39, X40, X41]: 0.50/0.71 (~ incident_c(X40, X41) | incident_c(X40, X39) | ~ part_of(X41, X39)), 0.50/0.71 inference('cnf', [status(esa)], [part_of_defn])). 0.50/0.71 tff('11', plain, 0.50/0.71 ![X0]: 0.50/0.71 ( incident_c(X0, sk_C_1) 0.50/0.71 | ~ incident_c(X0, sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1))), 0.50/0.71 inference('sup-', [status(thm)], ['9', '10'])). 0.50/0.71 tff('12', plain, incident_c(sk_R, sk_C_1), 0.50/0.71 inference('sup-', [status(thm)], ['6', '11'])). 0.50/0.71 tff('13', plain, ($false) <= (~ ( incident_c(sk_R, sk_C_1))), 0.50/0.71 inference('demod', [status(thm)], ['1', '12'])). 0.50/0.71 tff('14', plain, (sk_P_5 = sk_Q_3) <= ((sk_P_5 = sk_Q_3)), 0.50/0.71 inference('split', [status(esa)], ['0'])). 0.50/0.71 tff('15', plain, between_c(sk_C_1, sk_P_5, sk_Q_3, sk_R), 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_0])). 0.50/0.71 tff('16', plain, 0.50/0.71 ( between_c(sk_C_1, sk_P_5, sk_P_5, sk_R)) <= ((sk_P_5 = sk_Q_3)), 0.50/0.71 inference('sup+', [status(thm)], ['14', '15'])). 0.50/0.71 tff('17', plain, 0.50/0.71 ![X55, X56, X57, X60]: 0.50/0.71 ( end_point(X56, sk_Cpp(X60, X57, X56, X55)) 0.50/0.71 | ~ between_c(X55, X56, X57, X60)), 0.50/0.71 inference('cnf', [status(esa)], [between_c_defn])). 0.50/0.71 tff('18', plain, 0.50/0.71 ( end_point(sk_P_5, sk_Cpp(sk_R, sk_P_5, sk_P_5, sk_C_1))) 0.50/0.71 <= ((sk_P_5 = sk_Q_3)), 0.50/0.71 inference('sup-', [status(thm)], ['16', '17'])). 0.50/0.71 tff(inner_point_defn, axiom, 0.50/0.71 (![P,C]: (inner_point(P,C) <=> (incident_c(P,C) & (~end_point(P,C)))))). 0.50/0.71 tff('19', plain, 0.50/0.71 ![X52, X53]: (~ end_point(X52, X53) | ~ inner_point(X52, X53)), 0.50/0.71 inference('cnf', [status(esa)], [inner_point_defn])). 0.50/0.71 tff('20', plain, 0.50/0.71 (~ inner_point(sk_P_5, sk_Cpp(sk_R, sk_P_5, sk_P_5, sk_C_1))) 0.50/0.71 <= ((sk_P_5 = sk_Q_3)), 0.50/0.71 inference('sup-', [status(thm)], ['18', '19'])). 0.50/0.71 tff('21', plain, 0.50/0.71 ( between_c(sk_C_1, sk_P_5, sk_P_5, sk_R)) <= ((sk_P_5 = sk_Q_3)), 0.50/0.71 inference('sup+', [status(thm)], ['14', '15'])). 0.50/0.71 tff('22', plain, 0.50/0.71 ![X55, X56, X57, X60]: 0.50/0.71 ( inner_point(X57, sk_Cpp(X60, X57, X56, X55)) 0.50/0.71 | ~ between_c(X55, X56, X57, X60)), 0.50/0.71 inference('cnf', [status(esa)], [between_c_defn])). 0.50/0.71 tff('23', plain, 0.50/0.71 ( inner_point(sk_P_5, sk_Cpp(sk_R, sk_P_5, sk_P_5, sk_C_1))) 0.50/0.71 <= ((sk_P_5 = sk_Q_3)), 0.50/0.71 inference('sup-', [status(thm)], ['21', '22'])). 0.50/0.71 tff('24', plain, ~ (sk_P_5 = sk_Q_3), 0.50/0.71 inference('demod', [status(thm)], ['20', '23'])). 0.50/0.71 tff('25', plain, between_c(sk_C_1, sk_P_5, sk_Q_3, sk_R), 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_0])). 0.50/0.71 tff('26', plain, 0.50/0.71 ![X55, X56, X57, X60]: 0.50/0.71 ( end_point(X56, sk_Cpp(X60, X57, X56, X55)) 0.50/0.71 | ~ between_c(X55, X56, X57, X60)), 0.50/0.71 inference('cnf', [status(esa)], [between_c_defn])). 0.50/0.71 tff('27', plain, end_point(sk_P_5, sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1)), 0.50/0.71 inference('sup-', [status(thm)], ['25', '26'])). 0.50/0.71 tff('28', plain, 0.50/0.71 ![X12, X16]: ( incident_c(X12, X16) | ~ end_point(X12, X16)), 0.50/0.71 inference('cnf', [status(esa)], [end_point_defn])). 0.50/0.71 tff('29', plain, incident_c(sk_P_5, sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1)), 0.50/0.71 inference('sup-', [status(thm)], ['27', '28'])). 0.50/0.71 tff('30', plain, 0.50/0.71 ![X0]: 0.50/0.71 ( incident_c(X0, sk_C_1) 0.50/0.71 | ~ incident_c(X0, sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1))), 0.50/0.71 inference('sup-', [status(thm)], ['9', '10'])). 0.50/0.71 tff('31', plain, incident_c(sk_P_5, sk_C_1), 0.50/0.71 inference('sup-', [status(thm)], ['29', '30'])). 0.50/0.71 tff('32', plain, 0.50/0.71 (~ incident_c(sk_P_5, sk_C_1)) <= (~ ( incident_c(sk_P_5, sk_C_1))), 0.50/0.71 inference('split', [status(esa)], ['0'])). 0.50/0.71 tff('33', plain, ( incident_c(sk_P_5, sk_C_1)), 0.50/0.71 inference('sup-', [status(thm)], ['31', '32'])). 0.50/0.71 tff('34', plain, (sk_R = sk_Q_3) <= ((sk_R = sk_Q_3)), 0.50/0.71 inference('split', [status(esa)], ['0'])). 0.50/0.71 tff('35', plain, between_c(sk_C_1, sk_P_5, sk_Q_3, sk_R), 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_0])). 0.50/0.71 tff('36', plain, 0.50/0.71 ( between_c(sk_C_1, sk_P_5, sk_Q_3, sk_Q_3)) <= ((sk_R = sk_Q_3)), 0.50/0.71 inference('sup+', [status(thm)], ['34', '35'])). 0.50/0.71 tff('37', plain, 0.50/0.71 ![X55, X56, X57, X60]: 0.50/0.71 ( end_point(X60, sk_Cpp(X60, X57, X56, X55)) 0.50/0.71 | ~ between_c(X55, X56, X57, X60)), 0.50/0.71 inference('cnf', [status(esa)], [between_c_defn])). 0.50/0.71 tff('38', plain, 0.50/0.71 ( end_point(sk_Q_3, sk_Cpp(sk_Q_3, sk_Q_3, sk_P_5, sk_C_1))) 0.50/0.71 <= ((sk_R = sk_Q_3)), 0.50/0.71 inference('sup-', [status(thm)], ['36', '37'])). 0.50/0.71 tff('39', plain, 0.50/0.71 ![X52, X53]: (~ end_point(X52, X53) | ~ inner_point(X52, X53)), 0.50/0.71 inference('cnf', [status(esa)], [inner_point_defn])). 0.50/0.71 tff('40', plain, 0.50/0.71 (~ inner_point(sk_Q_3, sk_Cpp(sk_Q_3, sk_Q_3, sk_P_5, sk_C_1))) 0.50/0.71 <= ((sk_R = sk_Q_3)), 0.50/0.71 inference('sup-', [status(thm)], ['38', '39'])). 0.50/0.71 tff('41', plain, 0.50/0.71 ( between_c(sk_C_1, sk_P_5, sk_Q_3, sk_Q_3)) <= ((sk_R = sk_Q_3)), 0.50/0.71 inference('sup+', [status(thm)], ['34', '35'])). 0.50/0.71 tff('42', plain, 0.50/0.71 ![X55, X56, X57, X60]: 0.50/0.71 ( inner_point(X57, sk_Cpp(X60, X57, X56, X55)) 0.50/0.71 | ~ between_c(X55, X56, X57, X60)), 0.50/0.71 inference('cnf', [status(esa)], [between_c_defn])). 0.50/0.71 tff('43', plain, 0.50/0.71 ( inner_point(sk_Q_3, sk_Cpp(sk_Q_3, sk_Q_3, sk_P_5, sk_C_1))) 0.50/0.71 <= ((sk_R = sk_Q_3)), 0.50/0.71 inference('sup-', [status(thm)], ['41', '42'])). 0.50/0.71 tff('44', plain, ~ (sk_R = sk_Q_3), 0.50/0.71 inference('demod', [status(thm)], ['40', '43'])). 0.50/0.71 tff('45', plain, (sk_R = sk_P_5) <= ((sk_R = sk_P_5)), 0.50/0.71 inference('split', [status(esa)], ['0'])). 0.50/0.71 tff('46', plain, between_c(sk_C_1, sk_P_5, sk_Q_3, sk_R), 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_0])). 0.50/0.71 tff('47', plain, 0.50/0.71 ( between_c(sk_C_1, sk_P_5, sk_Q_3, sk_P_5)) <= ((sk_R = sk_P_5)), 0.50/0.71 inference('sup+', [status(thm)], ['45', '46'])). 0.50/0.71 tff('48', plain, 0.50/0.71 ![X55, X56, X57, X60]: (X60 != X56 | ~ between_c(X55, X56, X57, X60)), 0.50/0.71 inference('cnf', [status(esa)], [between_c_defn])). 0.50/0.71 tff('49', plain, ![X55, X56, X57]: ~ between_c(X55, X56, X57, X56), 0.50/0.71 inference('simplify', [status(thm)], ['48'])). 0.50/0.71 tff('50', plain, ~ (sk_R = sk_P_5), 0.50/0.71 inference('sup-', [status(thm)], ['47', '49'])). 0.50/0.71 tff('51', plain, between_c(sk_C_1, sk_P_5, sk_Q_3, sk_R), 0.50/0.71 inference('cnf', [status(esa)], [zf_stmt_0])). 0.50/0.71 tff('52', plain, 0.50/0.71 ![X55, X56, X57, X60]: 0.50/0.71 ( inner_point(X57, sk_Cpp(X60, X57, X56, X55)) 0.50/0.71 | ~ between_c(X55, X56, X57, X60)), 0.50/0.71 inference('cnf', [status(esa)], [between_c_defn])). 0.50/0.71 tff('53', plain, inner_point(sk_Q_3, sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1)), 0.50/0.71 inference('sup-', [status(thm)], ['51', '52'])). 0.50/0.71 tff('54', plain, 0.50/0.71 ![X52, X53]: ( incident_c(X52, X53) | ~ inner_point(X52, X53)), 0.50/0.71 inference('cnf', [status(esa)], [inner_point_defn])). 0.50/0.71 tff('55', plain, incident_c(sk_Q_3, sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1)), 0.50/0.71 inference('sup-', [status(thm)], ['53', '54'])). 0.50/0.71 tff('56', plain, 0.50/0.71 ![X0]: 0.50/0.71 ( incident_c(X0, sk_C_1) 0.50/0.71 | ~ incident_c(X0, sk_Cpp(sk_R, sk_Q_3, sk_P_5, sk_C_1))), 0.50/0.71 inference('sup-', [status(thm)], ['9', '10'])). 0.50/0.71 tff('57', plain, incident_c(sk_Q_3, sk_C_1), 0.50/0.71 inference('sup-', [status(thm)], ['55', '56'])). 0.50/0.71 tff('58', plain, 0.50/0.71 (~ incident_c(sk_Q_3, sk_C_1)) <= (~ ( incident_c(sk_Q_3, sk_C_1))), 0.50/0.71 inference('split', [status(esa)], ['0'])). 0.50/0.71 tff('59', plain, ( incident_c(sk_Q_3, sk_C_1)), 0.50/0.71 inference('sup-', [status(thm)], ['57', '58'])). 0.50/0.71 tff('60', plain, 0.50/0.71 ~ ( incident_c(sk_R, sk_C_1)) | ~ ( incident_c(sk_Q_3, sk_C_1)) | 0.50/0.71 (sk_R = sk_P_5) | (sk_R = sk_Q_3) | ~ ( incident_c(sk_P_5, sk_C_1)) | 0.50/0.71 (sk_P_5 = sk_Q_3), inference('split', [status(esa)], ['0'])). 0.50/0.71 tff('61', plain, ~ ( incident_c(sk_R, sk_C_1)), 0.50/0.71 inference('sat_resolution*', [status(thm)], 0.50/0.71 ['24', '33', '44', '50', '59', '60'])). 0.50/0.71 tff('62', plain, $false, 0.50/0.71 inference('simpl_trail', [status(thm)], ['13', '61'])). 0.50/0.71 0.50/0.71 % SZS output end Refutation 0.50/0.71 0.50/0.72 % Zipperpin 1.5 exiting 0.50/0.72 EOF