0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.12 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.vo8Og90yfZ 0.10/0.33 % Computer : n011.cluster.edu 0.10/0.33 % Model : x86_64 x86_64 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.33 % Memory : 8042.1875MB 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.33 % CPULimit : 960 0.10/0.33 % DateTime : Thu Jul 2 07:35:32 EDT 2020 0.10/0.33 % CPUTime : 0.10/0.33 % Running portfolio for 120 s 0.10/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.33 % Number of cores: 8 0.10/0.33 % Python version: Python 3.6.8 0.10/0.33 % Running in FO mode 2.61/2.87 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 2.61/2.87 % Solved by: fo/fo7.sh 2.61/2.87 To remain in the chosen logic fragment, unification with booleans has been disabled. 2.61/2.87 % done 905 iterations in 2.422s 2.61/2.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 2.61/2.87 % SZS output start Refutation 2.61/2.87 tff(o4, axiom, (![O]: (?[P]: start_point(P,O)))). 2.61/2.87 tff('0', plain, ![X90]: start_point(sk_P_8(X90), X90), 2.61/2.87 inference('cnf', [status(esa)], [o4])). 2.61/2.87 tff(closed_defn, axiom, (![C]: (closed(C) <=> (~(?[P]: end_point(P,C)))))). 2.61/2.87 tff('1', plain, ![X37]: ( closed(X37) | end_point(sk_P_1(X37), X37)), 2.61/2.87 inference('cnf', [status(esa)], [closed_defn])). 2.61/2.87 tff(end_point_defn, axiom, 2.61/2.87 (![P,C]: 2.61/2.87 (((![C1,C2]: 2.61/2.87 ((part_of(C1,C) & incident_c(P,C2) & part_of(C2,C) & 2.61/2.87 incident_c(P,C1)) => 2.61/2.87 (part_of(C2,C1) | part_of(C1,C2)))) & 2.61/2.87 incident_c(P,C)) <=> 2.61/2.87 end_point(P,C)))). 2.61/2.87 tff('2', plain, ![X12, X16]: ( incident_c(X12, X16) | ~ end_point(X12, X16)), 2.61/2.87 inference('cnf', [status(esa)], [end_point_defn])). 2.61/2.87 tff('3', plain, ![X0]: ( closed(X0) | incident_c(sk_P_1(X0), X0)), 2.61/2.87 inference('sup-', [status(thm)], ['1', '2'])). 2.61/2.87 tff(o2, axiom, 2.61/2.87 (![O]: (?[C]: (open(C) & (![P]: (incident_o(P,O) <=> incident_c(P,C))))))). 2.61/2.87 tff('4', plain, 2.61/2.87 ![X65, X66]: ( incident_o(X65, X66) | ~ incident_c(X65, sk_C_1(X66))), 2.61/2.87 inference('cnf', [status(esa)], [o2])). 2.61/2.87 tff('5', plain, 2.61/2.87 ![X0]: ( closed(sk_C_1(X0)) | incident_o(sk_P_1(sk_C_1(X0)), X0)), 2.61/2.87 inference('sup-', [status(thm)], ['3', '4'])). 2.61/2.87 tff('6', plain, ![X66]: open(sk_C_1(X66)), 2.61/2.87 inference('cnf', [status(esa)], [o2])). 2.61/2.87 tff(open_defn, axiom, (![C]: ((?[P]: end_point(P,C)) <=> open(C)))). 2.61/2.87 tff('7', plain, ![X51]: ( end_point(sk_P_4(X51), X51) | ~ open(X51)), 2.61/2.87 inference('cnf', [status(esa)], [open_defn])). 2.61/2.87 tff('8', plain, ![X35, X36]: (~ end_point(X35, X36) | ~ closed(X36)), 2.61/2.87 inference('cnf', [status(esa)], [closed_defn])). 2.61/2.87 tff('9', plain, ![X0]: (~ open(X0) | ~ closed(X0)), 2.61/2.87 inference('sup-', [status(thm)], ['7', '8'])). 2.61/2.87 tff('10', plain, ![X0]: ~ closed(sk_C_1(X0)), 2.61/2.87 inference('sup-', [status(thm)], ['6', '9'])). 2.61/2.87 tff('11', plain, ![X0]: incident_o(sk_P_1(sk_C_1(X0)), X0), 2.61/2.87 inference('clc', [status(thm)], ['5', '10'])). 2.61/2.87 tff(start_point_defn, axiom, 2.61/2.87 (![P,O]: 2.61/2.87 ((incident_o(P,O) & 2.61/2.87 (![Q]: (((P != Q) & incident_o(Q,O)) => ordered_by(O,P,Q)))) <=> 2.61/2.87 start_point(P,O)))). 2.61/2.87 tff('12', plain, 2.61/2.87 ![X61, X63, X64]: 2.61/2.87 (X61 = X64 2.61/2.87 | ~ incident_o(X64, X63) 2.61/2.87 | ordered_by(X63, X61, X64) 2.61/2.87 | ~ start_point(X61, X63)), 2.61/2.87 inference('cnf', [status(esa)], [start_point_defn])). 2.61/2.87 tff('13', plain, 2.61/2.87 ![X0, X1]: 2.61/2.87 (~ start_point(X1, X0) 2.61/2.87 | ordered_by(X0, X1, sk_P_1(sk_C_1(X0))) 2.61/2.87 | X1 = sk_P_1(sk_C_1(X0))), 2.61/2.87 inference('sup-', [status(thm)], ['11', '12'])). 2.61/2.87 tff('14', plain, 2.61/2.87 ![X0]: 2.61/2.87 (sk_P_8(X0) = sk_P_1(sk_C_1(X0)) 2.61/2.87 | ordered_by(X0, sk_P_8(X0), sk_P_1(sk_C_1(X0)))), 2.61/2.87 inference('sup-', [status(thm)], ['0', '13'])). 2.61/2.87 tff(theorem_4_11, conjecture, 2.61/2.87 (![O]: (?[P,Q]: (ordered_by(O,P,Q) & (Q != P))))). 2.61/2.87 tff(zf_stmt_0, negated_conjecture, 2.61/2.87 (~(![O]: (?[P,Q]: (ordered_by(O,P,Q) & (Q != P)))))). 2.61/2.87 tff('15', plain, 2.61/2.87 ![X101, X102]: (~ ordered_by(sk_O_1, X101, X102) | X102 = X101), 2.61/2.87 inference('cnf', [status(esa)], [zf_stmt_0])). 2.61/2.87 tff('16', plain, 2.61/2.87 (sk_P_8(sk_O_1) = sk_P_1(sk_C_1(sk_O_1)) 2.61/2.87 | sk_P_1(sk_C_1(sk_O_1)) = sk_P_8(sk_O_1)), 2.61/2.87 inference('sup-', [status(thm)], ['14', '15'])). 2.61/2.87 tff('17', plain, sk_P_8(sk_O_1) = sk_P_1(sk_C_1(sk_O_1)), 2.61/2.87 inference('simplify', [status(thm)], ['16'])). 2.61/2.87 tff('18', plain, ![X37]: ( closed(X37) | end_point(sk_P_1(X37), X37)), 2.61/2.87 inference('cnf', [status(esa)], [closed_defn])). 2.61/2.87 tff(inner_point_defn, axiom, 2.61/2.87 (![P,C]: (inner_point(P,C) <=> (incident_c(P,C) & (~end_point(P,C)))))). 2.61/2.87 tff('19', plain, 2.61/2.87 ![X52, X53]: (~ end_point(X52, X53) | ~ inner_point(X52, X53)), 2.61/2.87 inference('cnf', [status(esa)], [inner_point_defn])). 2.61/2.87 tff('20', plain, ![X0]: ( closed(X0) | ~ inner_point(sk_P_1(X0), X0)), 2.61/2.87 inference('sup-', [status(thm)], ['18', '19'])). 2.61/2.87 tff('21', plain, 2.61/2.87 (~ inner_point(sk_P_8(sk_O_1), sk_C_1(sk_O_1)) | closed(sk_C_1(sk_O_1))), 2.61/2.87 inference('sup-', [status(thm)], ['17', '20'])). 2.61/2.87 tff('22', plain, ![X0]: ~ closed(sk_C_1(X0)), 2.61/2.87 inference('sup-', [status(thm)], ['6', '9'])). 2.61/2.87 tff('23', plain, ~ inner_point(sk_P_8(sk_O_1), sk_C_1(sk_O_1)), 2.61/2.87 inference('clc', [status(thm)], ['21', '22'])). 2.61/2.87 tff('24', plain, ![X90]: start_point(sk_P_8(X90), X90), 2.61/2.87 inference('cnf', [status(esa)], [o4])). 2.61/2.87 tff(c3, axiom, (![C]: (?[P]: inner_point(P,C)))). 2.61/2.87 tff('25', plain, ![X48]: inner_point(sk_P_3(X48), X48), 2.61/2.87 inference('cnf', [status(esa)], [c3])). 2.61/2.87 tff('26', plain, 2.61/2.87 ![X52, X53]: ( incident_c(X52, X53) | ~ inner_point(X52, X53)), 2.61/2.87 inference('cnf', [status(esa)], [inner_point_defn])). 2.61/2.87 tff('27', plain, ![X0]: incident_c(sk_P_3(X0), X0), 2.61/2.87 inference('sup-', [status(thm)], ['25', '26'])). 2.61/2.87 tff('28', plain, 2.61/2.87 ![X65, X66]: ( incident_o(X65, X66) | ~ incident_c(X65, sk_C_1(X66))), 2.61/2.87 inference('cnf', [status(esa)], [o2])). 2.61/2.87 tff('29', plain, ![X0]: incident_o(sk_P_3(sk_C_1(X0)), X0), 2.61/2.87 inference('sup-', [status(thm)], ['27', '28'])). 2.61/2.87 tff('30', plain, 2.61/2.87 ![X61, X63, X64]: 2.61/2.87 (X61 = X64 2.61/2.87 | ~ incident_o(X64, X63) 2.61/2.87 | ordered_by(X63, X61, X64) 2.61/2.87 | ~ start_point(X61, X63)), 2.61/2.87 inference('cnf', [status(esa)], [start_point_defn])). 2.61/2.87 tff('31', plain, 2.61/2.87 ![X0, X1]: 2.61/2.87 (~ start_point(X1, X0) 2.61/2.87 | ordered_by(X0, X1, sk_P_3(sk_C_1(X0))) 2.61/2.87 | X1 = sk_P_3(sk_C_1(X0))), 2.61/2.87 inference('sup-', [status(thm)], ['29', '30'])). 2.61/2.87 tff('32', plain, 2.61/2.87 ![X0]: 2.61/2.87 (sk_P_8(X0) = sk_P_3(sk_C_1(X0)) 2.61/2.87 | ordered_by(X0, sk_P_8(X0), sk_P_3(sk_C_1(X0)))), 2.61/2.87 inference('sup-', [status(thm)], ['24', '31'])). 2.61/2.87 tff('33', plain, 2.61/2.87 ![X101, X102]: (~ ordered_by(sk_O_1, X101, X102) | X102 = X101), 2.61/2.87 inference('cnf', [status(esa)], [zf_stmt_0])). 2.61/2.87 tff('34', plain, 2.61/2.87 (sk_P_8(sk_O_1) = sk_P_3(sk_C_1(sk_O_1)) 2.61/2.87 | sk_P_3(sk_C_1(sk_O_1)) = sk_P_8(sk_O_1)), 2.61/2.87 inference('sup-', [status(thm)], ['32', '33'])). 2.61/2.87 tff('35', plain, sk_P_8(sk_O_1) = sk_P_3(sk_C_1(sk_O_1)), 2.61/2.87 inference('simplify', [status(thm)], ['34'])). 2.61/2.87 tff('36', plain, ![X48]: inner_point(sk_P_3(X48), X48), 2.61/2.87 inference('cnf', [status(esa)], [c3])). 2.61/2.87 tff('37', plain, inner_point(sk_P_8(sk_O_1), sk_C_1(sk_O_1)), 2.61/2.87 inference('sup+', [status(thm)], ['35', '36'])). 2.61/2.87 tff('38', plain, $false, inference('demod', [status(thm)], ['23', '37'])). 2.61/2.87 2.61/2.87 % SZS output end Refutation 2.61/2.87 2.61/2.88 % Zipperpin 1.5 exiting 2.61/2.88 EOF