0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.qDLggKMygi 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % DateTime : Thu Jul 2 06:39:55 EDT 2020 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.19/0.34 % Python version: Python 3.6.8 0.19/0.35 % Running in FO mode 22.47/22.70 % Running /export/starexec/sandbox/solver/bin/fo/fo7.sh for 25 22.47/22.70 % Solved by: fo/fo7.sh 22.47/22.70 To remain in the chosen logic fragment, unification with booleans has been disabled. 22.47/22.70 % done 6539 iterations in 22.247s 22.47/22.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 22.47/22.70 % SZS output start Refutation 22.47/22.70 tff(oag8, axiom, 22.47/22.70 (![L,M]: 22.47/22.70 ((line(M) & line(L)) => 22.47/22.70 (unequally_directed_lines(L,reverse_line(M)) | 22.47/22.70 unequally_directed_lines(L,M))))). 22.47/22.70 tff('0', plain, 22.47/22.70 ![X25, X26]: 22.47/22.70 (~ line(X25) 22.47/22.70 | ~ line(X26) 22.47/22.70 | unequally_directed_lines(X25, reverse_line(X26)) 22.47/22.70 | unequally_directed_lines(X25, X26)), 22.47/22.70 inference('cnf', [status(esa)], [oag8])). 22.47/22.70 tff(oag5, axiom, (![L]: (~unequally_directed_lines(L,L)))). 22.47/22.70 tff('1', plain, ![X37]: ~ unequally_directed_lines(X37, X37), 22.47/22.70 inference('cnf', [status(esa)], [oag5])). 22.47/22.70 tff('2', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(reverse_line(X0), X0) 22.47/22.70 | ~ line(X0) 22.47/22.70 | ~ line(reverse_line(X0))), 22.47/22.70 inference('sup-', [status(thm)], ['0', '1'])). 22.47/22.70 tff(oagco4, axiom, (![L]: (line(L) => line(reverse_line(L))))). 22.47/22.70 tff('3', plain, ![X24]: ( line(reverse_line(X24)) | ~ line(X24)), 22.47/22.70 inference('cnf', [status(esa)], [oagco4])). 22.47/22.70 tff('4', plain, 22.47/22.70 ![X0]: (~ line(X0) | unequally_directed_lines(reverse_line(X0), X0)), 22.47/22.70 inference('clc', [status(thm)], ['2', '3'])). 22.47/22.70 tff(oag6, axiom, 22.47/22.70 (![L,M,N]: 22.47/22.70 (unequally_directed_lines(L,M) => 22.47/22.70 (unequally_directed_lines(L,N) | unequally_directed_lines(M,N))))). 22.47/22.70 tff('5', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('6', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 (~ line(X0) 22.47/22.70 | unequally_directed_lines(X0, X1) 22.47/22.70 | unequally_directed_lines(reverse_line(X0), X1)), 22.47/22.70 inference('sup-', [status(thm)], ['4', '5'])). 22.47/22.70 tff('7', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 (~ line(X0) 22.47/22.70 | unequally_directed_lines(X0, X1) 22.47/22.70 | unequally_directed_lines(reverse_line(X0), X1)), 22.47/22.70 inference('sup-', [status(thm)], ['4', '5'])). 22.47/22.70 tff(oag9, axiom, 22.47/22.70 (![L,M]: 22.47/22.70 ((unequally_directed_lines(L,M) & 22.47/22.70 unequally_directed_lines(L,reverse_line(M))) => 22.47/22.70 (left_convergent_lines(L,reverse_line(M)) | left_convergent_lines(L,M))))). 22.47/22.70 tff('8', plain, 22.47/22.70 ![X30, X31]: 22.47/22.70 ( left_convergent_lines(X30, X31) 22.47/22.70 | left_convergent_lines(X30, reverse_line(X31)) 22.47/22.70 | ~ unequally_directed_lines(X30, reverse_line(X31)) 22.47/22.70 | ~ unequally_directed_lines(X30, X31)), 22.47/22.70 inference('cnf', [status(esa)], [oag9])). 22.47/22.70 tff('9', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(X1, reverse_line(X0)) 22.47/22.70 | ~ line(X1) 22.47/22.70 | ~ unequally_directed_lines(reverse_line(X1), X0) 22.47/22.70 | left_convergent_lines(reverse_line(X1), reverse_line(X0)) 22.47/22.70 | left_convergent_lines(reverse_line(X1), X0)), 22.47/22.70 inference('sup-', [status(thm)], ['7', '8'])). 22.47/22.70 tff('10', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(X1, X0) 22.47/22.70 | ~ line(X1) 22.47/22.70 | left_convergent_lines(reverse_line(X1), X0) 22.47/22.70 | left_convergent_lines(reverse_line(X1), reverse_line(X0)) 22.47/22.70 | ~ line(X1) 22.47/22.70 | unequally_directed_lines(X1, reverse_line(X0))), 22.47/22.70 inference('sup-', [status(thm)], ['6', '9'])). 22.47/22.70 tff('11', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(X1, reverse_line(X0)) 22.47/22.70 | left_convergent_lines(reverse_line(X1), reverse_line(X0)) 22.47/22.70 | left_convergent_lines(reverse_line(X1), X0) 22.47/22.70 | ~ line(X1) 22.47/22.70 | unequally_directed_lines(X1, X0)), 22.47/22.70 inference('simplify', [status(thm)], ['10'])). 22.47/22.70 tff(oag11, axiom, 22.47/22.70 (![L,M]: 22.47/22.70 (~ 22.47/22.70 (left_convergent_lines(L,reverse_line(M)) | left_convergent_lines(L,M))))). 22.47/22.70 tff('12', plain, ![X5, X6]: ~ left_convergent_lines(X5, X6), 22.47/22.70 inference('cnf', [status(esa)], [oag11])). 22.47/22.70 tff('13', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(X1, X0) 22.47/22.70 | ~ line(X1) 22.47/22.70 | left_convergent_lines(reverse_line(X1), X0) 22.47/22.70 | unequally_directed_lines(X1, reverse_line(X0))), 22.47/22.70 inference('sup-', [status(thm)], ['11', '12'])). 22.47/22.70 tff('14', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('15', plain, 22.47/22.70 ![X0, X1, X2]: 22.47/22.70 ( left_convergent_lines(reverse_line(X1), X0) 22.47/22.70 | ~ line(X1) 22.47/22.70 | unequally_directed_lines(X1, X0) 22.47/22.70 | unequally_directed_lines(reverse_line(X0), X2) 22.47/22.70 | unequally_directed_lines(X1, X2)), 22.47/22.70 inference('sup-', [status(thm)], ['13', '14'])). 22.47/22.70 tff('16', plain, ![X5, X6]: ~ left_convergent_lines(X5, X6), 22.47/22.70 inference('cnf', [status(esa)], [oag11])). 22.47/22.70 tff('17', plain, 22.47/22.70 ![X0, X1, X2]: 22.47/22.70 ( unequally_directed_lines(X1, X2) 22.47/22.70 | unequally_directed_lines(reverse_line(X0), X2) 22.47/22.70 | unequally_directed_lines(X1, X0) 22.47/22.70 | ~ line(X1)), 22.47/22.70 inference('sup-', [status(thm)], ['15', '16'])). 22.47/22.70 tff('18', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 (~ line(X1) 22.47/22.70 | unequally_directed_lines(X1, X0) 22.47/22.70 | unequally_directed_lines(reverse_line(X0), X0)), 22.47/22.70 inference('eq_fact', [status(thm)], ['17'])). 22.47/22.70 tff('19', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('20', plain, 22.47/22.70 ![X0, X1, X2]: 22.47/22.70 ( unequally_directed_lines(X2, X0) 22.47/22.70 | ~ line(X2) 22.47/22.70 | unequally_directed_lines(X0, X1) 22.47/22.70 | unequally_directed_lines(reverse_line(X0), X1)), 22.47/22.70 inference('sup-', [status(thm)], ['18', '19'])). 22.47/22.70 tff('21', plain, ![X37]: ~ unequally_directed_lines(X37, X37), 22.47/22.70 inference('cnf', [status(esa)], [oag5])). 22.47/22.70 tff('22', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(X0, reverse_line(X0)) 22.47/22.70 | ~ line(X1) 22.47/22.70 | unequally_directed_lines(X1, X0)), 22.47/22.70 inference('sup-', [status(thm)], ['20', '21'])). 22.47/22.70 tff(oagco9, axiom, 22.47/22.70 (![A,B]: 22.47/22.70 (~ 22.47/22.70 unequally_directed_lines(line_connecting(A,B), 22.47/22.70 reverse_line(line_connecting(B,A)))))). 22.47/22.70 tff('23', plain, 22.47/22.70 ![X54, X55]: 22.47/22.70 ~ unequally_directed_lines(line_connecting(X54, X55), 22.47/22.70 reverse_line(line_connecting(X55, X54))), 22.47/22.70 inference('cnf', [status(esa)], [oagco9])). 22.47/22.70 tff('24', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(X1, line_connecting(X0, X0)) | ~ line(X1)), 22.47/22.70 inference('sup-', [status(thm)], ['22', '23'])). 22.47/22.70 tff('25', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('26', plain, 22.47/22.70 ![X0, X1, X2]: 22.47/22.70 (~ line(X1) 22.47/22.70 | unequally_directed_lines(line_connecting(X0, X0), X2) 22.47/22.70 | unequally_directed_lines(X1, X2)), 22.47/22.70 inference('sup-', [status(thm)], ['24', '25'])). 22.47/22.70 tff('27', plain, ![X37]: ~ unequally_directed_lines(X37, X37), 22.47/22.70 inference('cnf', [status(esa)], [oag5])). 22.47/22.70 tff('28', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(line_connecting(X1, X1), X0) | ~ line(X0)), 22.47/22.70 inference('sup-', [status(thm)], ['26', '27'])). 22.47/22.70 tff(con, conjecture, 22.47/22.70 (![L,A,B,C]: 22.47/22.70 ((distinct_points(A,C) & distinct_points(B,C) & distinct_points(A,B) & 22.47/22.70 line(L)) => 22.47/22.70 (~(between_on_line(L,A,B,C) & between_on_line(L,B,A,C)))))). 22.47/22.70 tff(zf_stmt_0, negated_conjecture, 22.47/22.70 (~ 22.47/22.70 (![L,A,B,C]: 22.47/22.70 ((distinct_points(A,C) & distinct_points(B,C) & 22.47/22.70 distinct_points(A,B) & line(L)) => 22.47/22.70 (~(between_on_line(L,A,B,C) & between_on_line(L,B,A,C))))))). 22.47/22.70 tff('29', plain, between_on_line(sk_L, sk_B, sk_A, sk_C), 22.47/22.70 inference('cnf', [status(esa)], [zf_stmt_0])). 22.47/22.70 tff(bet_def, axiom, 22.47/22.70 (![L,A,B,C]: 22.47/22.70 (between_on_line(L,A,B,C) <=> 22.47/22.70 ((before_on_line(L,B,C) & before_on_line(L,A,B)) | 22.47/22.70 (before_on_line(L,C,B) & before_on_line(L,B,A)))))). 22.47/22.70 tff('30', plain, 22.47/22.70 ![X14, X15, X16, X17]: 22.47/22.70 ( before_on_line(X14, X16, X17) 22.47/22.70 | before_on_line(X14, X16, X15) 22.47/22.70 | ~ between_on_line(X14, X17, X16, X15)), 22.47/22.70 inference('cnf', [status(esa)], [bet_def])). 22.47/22.70 tff('31', plain, 22.47/22.70 ( before_on_line(sk_L, sk_A, sk_C) | before_on_line(sk_L, sk_A, sk_B)), 22.47/22.70 inference('sup-', [status(thm)], ['29', '30'])). 22.47/22.70 tff('32', plain, 22.47/22.70 ( before_on_line(sk_L, sk_A, sk_C) | before_on_line(sk_L, sk_A, sk_B)), 22.47/22.70 inference('sup-', [status(thm)], ['29', '30'])). 22.47/22.70 tff('33', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 (~ line(X0) 22.47/22.70 | unequally_directed_lines(X0, X1) 22.47/22.70 | unequally_directed_lines(reverse_line(X0), X1)), 22.47/22.70 inference('sup-', [status(thm)], ['4', '5'])). 22.47/22.70 tff('34', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('35', plain, 22.47/22.70 ![X0, X1, X2]: 22.47/22.70 ( unequally_directed_lines(X1, X0) 22.47/22.70 | ~ line(X1) 22.47/22.70 | unequally_directed_lines(X0, X2) 22.47/22.70 | unequally_directed_lines(reverse_line(X1), X2)), 22.47/22.70 inference('sup-', [status(thm)], ['33', '34'])). 22.47/22.70 tff('36', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('37', plain, 22.47/22.70 ![X0, X1, X2, X3]: 22.47/22.70 ( unequally_directed_lines(reverse_line(X1), X3) 22.47/22.70 | unequally_directed_lines(X0, X3) 22.47/22.70 | ~ line(X1) 22.47/22.70 | unequally_directed_lines(X0, X2) 22.47/22.70 | unequally_directed_lines(X1, X2)), 22.47/22.70 inference('sup-', [status(thm)], ['35', '36'])). 22.47/22.70 tff('38', plain, ![X37]: ~ unequally_directed_lines(X37, X37), 22.47/22.70 inference('cnf', [status(esa)], [oag5])). 22.47/22.70 tff('39', plain, 22.47/22.70 ![X0, X1, X2]: 22.47/22.70 ( unequally_directed_lines(X0, X1) 22.47/22.70 | unequally_directed_lines(X2, X1) 22.47/22.70 | ~ line(X0) 22.47/22.70 | unequally_directed_lines(X2, reverse_line(X0))), 22.47/22.70 inference('sup-', [status(thm)], ['37', '38'])). 22.47/22.70 tff(bf_def, axiom, 22.47/22.70 (![L,A,B]: 22.47/22.70 (before_on_line(L,A,B) <=> 22.47/22.70 ((~(left_apart_point(A,L) | left_apart_point(A,reverse_line(L)))) & 22.47/22.70 (~(left_apart_point(B,L) | left_apart_point(B,reverse_line(L)))) & 22.47/22.70 (~unequally_directed_lines(L,line_connecting(A,B))) & 22.47/22.70 distinct_points(A,B))))). 22.47/22.70 tff('40', plain, 22.47/22.70 ![X61, X62, X63]: 22.47/22.70 (~ unequally_directed_lines(X62, line_connecting(X61, X63)) 22.47/22.70 | ~ before_on_line(X62, X61, X63)), 22.47/22.70 inference('cnf', [status(esa)], [bf_def])). 22.47/22.70 tff('41', plain, 22.47/22.70 ![X0, X1, X2, X3]: 22.47/22.70 ( unequally_directed_lines(X3, reverse_line(X2)) 22.47/22.70 | ~ line(X2) 22.47/22.70 | unequally_directed_lines(X3, line_connecting(X1, X0)) 22.47/22.70 | ~ before_on_line(X2, X1, X0)), 22.47/22.70 inference('sup-', [status(thm)], ['39', '40'])). 22.47/22.70 tff('42', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( before_on_line(sk_L, sk_A, sk_B) 22.47/22.70 | unequally_directed_lines(X0, line_connecting(sk_A, sk_C)) 22.47/22.70 | ~ line(sk_L) 22.47/22.70 | unequally_directed_lines(X0, reverse_line(sk_L))), 22.47/22.70 inference('sup-', [status(thm)], ['32', '41'])). 22.47/22.70 tff('43', plain, line(sk_L), inference('cnf', [status(esa)], [zf_stmt_0])). 22.47/22.70 tff('44', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( before_on_line(sk_L, sk_A, sk_B) 22.47/22.70 | unequally_directed_lines(X0, line_connecting(sk_A, sk_C)) 22.47/22.70 | unequally_directed_lines(X0, reverse_line(sk_L))), 22.47/22.70 inference('demod', [status(thm)], ['42', '43'])). 22.47/22.70 tff('45', plain, 22.47/22.70 ![X61, X62, X63]: 22.47/22.70 (~ unequally_directed_lines(X62, line_connecting(X61, X63)) 22.47/22.70 | ~ before_on_line(X62, X61, X63)), 22.47/22.70 inference('cnf', [status(esa)], [bf_def])). 22.47/22.70 tff('46', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(X0, reverse_line(sk_L)) 22.47/22.70 | before_on_line(sk_L, sk_A, sk_B) 22.47/22.70 | ~ before_on_line(X0, sk_A, sk_C)), 22.47/22.70 inference('sup-', [status(thm)], ['44', '45'])). 22.47/22.70 tff('47', plain, 22.47/22.70 ( before_on_line(sk_L, sk_A, sk_B) 22.47/22.70 | before_on_line(sk_L, sk_A, sk_B) 22.47/22.70 | unequally_directed_lines(sk_L, reverse_line(sk_L))), 22.47/22.70 inference('sup-', [status(thm)], ['31', '46'])). 22.47/22.70 tff('48', plain, 22.47/22.70 ( unequally_directed_lines(sk_L, reverse_line(sk_L)) 22.47/22.70 | before_on_line(sk_L, sk_A, sk_B)), 22.47/22.70 inference('simplify', [status(thm)], ['47'])). 22.47/22.70 tff('49', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('50', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( before_on_line(sk_L, sk_A, sk_B) 22.47/22.70 | unequally_directed_lines(reverse_line(sk_L), X0) 22.47/22.70 | unequally_directed_lines(sk_L, X0)), 22.47/22.70 inference('sup-', [status(thm)], ['48', '49'])). 22.47/22.70 tff('51', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( before_on_line(sk_L, sk_A, sk_B) 22.47/22.70 | unequally_directed_lines(reverse_line(sk_L), X0) 22.47/22.70 | unequally_directed_lines(sk_L, X0)), 22.47/22.70 inference('sup-', [status(thm)], ['48', '49'])). 22.47/22.70 tff('52', plain, 22.47/22.70 ![X0, X1, X2, X3]: 22.47/22.70 ( unequally_directed_lines(X3, reverse_line(X2)) 22.47/22.70 | ~ line(X2) 22.47/22.70 | unequally_directed_lines(X3, line_connecting(X1, X0)) 22.47/22.70 | ~ before_on_line(X2, X1, X0)), 22.47/22.70 inference('sup-', [status(thm)], ['39', '40'])). 22.47/22.70 tff('53', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(sk_L, X1) 22.47/22.70 | unequally_directed_lines(reverse_line(sk_L), X1) 22.47/22.70 | unequally_directed_lines(X0, line_connecting(sk_A, sk_B)) 22.47/22.70 | ~ line(sk_L) 22.47/22.70 | unequally_directed_lines(X0, reverse_line(sk_L))), 22.47/22.70 inference('sup-', [status(thm)], ['51', '52'])). 22.47/22.70 tff('54', plain, line(sk_L), inference('cnf', [status(esa)], [zf_stmt_0])). 22.47/22.70 tff('55', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(sk_L, X1) 22.47/22.70 | unequally_directed_lines(reverse_line(sk_L), X1) 22.47/22.70 | unequally_directed_lines(X0, line_connecting(sk_A, sk_B)) 22.47/22.70 | unequally_directed_lines(X0, reverse_line(sk_L))), 22.47/22.70 inference('demod', [status(thm)], ['53', '54'])). 22.47/22.70 tff('56', plain, ![X37]: ~ unequally_directed_lines(X37, X37), 22.47/22.70 inference('cnf', [status(esa)], [oag5])). 22.47/22.70 tff('57', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(X0, reverse_line(sk_L)) 22.47/22.70 | unequally_directed_lines(X0, line_connecting(sk_A, sk_B)) 22.47/22.70 | unequally_directed_lines(sk_L, reverse_line(sk_L))), 22.47/22.70 inference('sup-', [status(thm)], ['55', '56'])). 22.47/22.70 tff('58', plain, 22.47/22.70 ![X61, X62, X63]: 22.47/22.70 (~ unequally_directed_lines(X62, line_connecting(X61, X63)) 22.47/22.70 | ~ before_on_line(X62, X61, X63)), 22.47/22.70 inference('cnf', [status(esa)], [bf_def])). 22.47/22.70 tff('59', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(sk_L, reverse_line(sk_L)) 22.47/22.70 | unequally_directed_lines(X0, reverse_line(sk_L)) 22.47/22.70 | ~ before_on_line(X0, sk_A, sk_B)), 22.47/22.70 inference('sup-', [status(thm)], ['57', '58'])). 22.47/22.70 tff('60', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(sk_L, X0) 22.47/22.70 | unequally_directed_lines(reverse_line(sk_L), X0) 22.47/22.70 | unequally_directed_lines(sk_L, reverse_line(sk_L)) 22.47/22.70 | unequally_directed_lines(sk_L, reverse_line(sk_L))), 22.47/22.70 inference('sup-', [status(thm)], ['50', '59'])). 22.47/22.70 tff('61', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(sk_L, reverse_line(sk_L)) 22.47/22.70 | unequally_directed_lines(reverse_line(sk_L), X0) 22.47/22.70 | unequally_directed_lines(sk_L, X0)), 22.47/22.70 inference('simplify', [status(thm)], ['60'])). 22.47/22.70 tff('62', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('63', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(sk_L, X0) 22.47/22.70 | unequally_directed_lines(reverse_line(sk_L), X0)), 22.47/22.70 inference('clc', [status(thm)], ['61', '62'])). 22.47/22.70 tff('64', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('65', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(sk_L, X0) 22.47/22.70 | unequally_directed_lines(X0, X1) 22.47/22.70 | unequally_directed_lines(reverse_line(sk_L), X1)), 22.47/22.70 inference('sup-', [status(thm)], ['63', '64'])). 22.47/22.70 tff('66', plain, ![X37]: ~ unequally_directed_lines(X37, X37), 22.47/22.70 inference('cnf', [status(esa)], [oag5])). 22.47/22.70 tff('67', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(X0, reverse_line(sk_L)) 22.47/22.70 | unequally_directed_lines(sk_L, X0)), 22.47/22.70 inference('sup-', [status(thm)], ['65', '66'])). 22.47/22.70 tff('68', plain, 22.47/22.70 ![X30, X31]: 22.47/22.70 ( left_convergent_lines(X30, X31) 22.47/22.70 | left_convergent_lines(X30, reverse_line(X31)) 22.47/22.70 | ~ unequally_directed_lines(X30, reverse_line(X31)) 22.47/22.70 | ~ unequally_directed_lines(X30, X31)), 22.47/22.70 inference('cnf', [status(esa)], [oag9])). 22.47/22.70 tff('69', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(sk_L, X0) 22.47/22.70 | ~ unequally_directed_lines(X0, sk_L) 22.47/22.70 | left_convergent_lines(X0, reverse_line(sk_L)) 22.47/22.70 | left_convergent_lines(X0, sk_L)), 22.47/22.70 inference('sup-', [status(thm)], ['67', '68'])). 22.47/22.70 tff('70', plain, 22.47/22.70 ![X0]: 22.47/22.70 (~ line(sk_L) 22.47/22.70 | left_convergent_lines(line_connecting(X0, X0), sk_L) 22.47/22.70 | left_convergent_lines(line_connecting(X0, X0), reverse_line(sk_L)) 22.47/22.70 | unequally_directed_lines(sk_L, line_connecting(X0, X0))), 22.47/22.70 inference('sup-', [status(thm)], ['28', '69'])). 22.47/22.70 tff('71', plain, line(sk_L), inference('cnf', [status(esa)], [zf_stmt_0])). 22.47/22.70 tff('72', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( left_convergent_lines(line_connecting(X0, X0), sk_L) 22.47/22.70 | left_convergent_lines(line_connecting(X0, X0), reverse_line(sk_L)) 22.47/22.70 | unequally_directed_lines(sk_L, line_connecting(X0, X0))), 22.47/22.70 inference('demod', [status(thm)], ['70', '71'])). 22.47/22.70 tff('73', plain, ![X5, X6]: ~ left_convergent_lines(X5, X6), 22.47/22.70 inference('cnf', [status(esa)], [oag11])). 22.47/22.70 tff('74', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( unequally_directed_lines(sk_L, line_connecting(X0, X0)) 22.47/22.70 | left_convergent_lines(line_connecting(X0, X0), reverse_line(sk_L))), 22.47/22.70 inference('clc', [status(thm)], ['72', '73'])). 22.47/22.70 tff('75', plain, ![X5, X6]: ~ left_convergent_lines(X5, X6), 22.47/22.70 inference('cnf', [status(esa)], [oag11])). 22.47/22.70 tff('76', plain, 22.47/22.70 ![X0]: unequally_directed_lines(sk_L, line_connecting(X0, X0)), 22.47/22.70 inference('clc', [status(thm)], ['74', '75'])). 22.47/22.70 tff('77', plain, 22.47/22.70 ![X27, X28, X29]: 22.47/22.70 (~ unequally_directed_lines(X27, X28) 22.47/22.70 | unequally_directed_lines(X27, X29) 22.47/22.70 | unequally_directed_lines(X28, X29)), 22.47/22.70 inference('cnf', [status(esa)], [oag6])). 22.47/22.70 tff('78', plain, 22.47/22.70 ![X0, X1]: 22.47/22.70 ( unequally_directed_lines(line_connecting(X0, X0), X1) 22.47/22.70 | unequally_directed_lines(sk_L, X1)), 22.47/22.70 inference('sup-', [status(thm)], ['76', '77'])). 22.47/22.70 tff('79', plain, 22.47/22.70 ![X54, X55]: 22.47/22.70 ~ unequally_directed_lines(line_connecting(X54, X55), 22.47/22.70 reverse_line(line_connecting(X55, X54))), 22.47/22.70 inference('cnf', [status(esa)], [oagco9])). 22.47/22.70 tff('80', plain, 22.47/22.70 ![X0]: 22.47/22.70 unequally_directed_lines(sk_L, reverse_line(line_connecting(X0, X0))), 22.47/22.70 inference('sup-', [status(thm)], ['78', '79'])). 22.47/22.70 tff('81', plain, 22.47/22.70 ![X30, X31]: 22.47/22.70 ( left_convergent_lines(X30, X31) 22.47/22.70 | left_convergent_lines(X30, reverse_line(X31)) 22.47/22.70 | ~ unequally_directed_lines(X30, reverse_line(X31)) 22.47/22.70 | ~ unequally_directed_lines(X30, X31)), 22.47/22.70 inference('cnf', [status(esa)], [oag9])). 22.47/22.70 tff('82', plain, 22.47/22.70 ![X0]: 22.47/22.70 (~ unequally_directed_lines(sk_L, line_connecting(X0, X0)) 22.47/22.70 | left_convergent_lines(sk_L, reverse_line(line_connecting(X0, X0))) 22.47/22.70 | left_convergent_lines(sk_L, line_connecting(X0, X0))), 22.47/22.70 inference('sup-', [status(thm)], ['80', '81'])). 22.47/22.70 tff('83', plain, 22.47/22.70 ![X0]: unequally_directed_lines(sk_L, line_connecting(X0, X0)), 22.47/22.70 inference('clc', [status(thm)], ['74', '75'])). 22.47/22.70 tff('84', plain, 22.47/22.70 ![X0]: 22.47/22.70 ( left_convergent_lines(sk_L, reverse_line(line_connecting(X0, X0))) 22.47/22.70 | left_convergent_lines(sk_L, line_connecting(X0, X0))), 22.47/22.70 inference('demod', [status(thm)], ['82', '83'])). 22.47/22.70 tff('85', plain, ![X5, X6]: ~ left_convergent_lines(X5, X6), 22.47/22.70 inference('cnf', [status(esa)], [oag11])). 22.47/22.70 tff('86', plain, 22.47/22.70 ![X0]: left_convergent_lines(sk_L, line_connecting(X0, X0)), 22.47/22.70 inference('clc', [status(thm)], ['84', '85'])). 22.47/22.70 tff('87', plain, ![X5, X6]: ~ left_convergent_lines(X5, X6), 22.47/22.70 inference('cnf', [status(esa)], [oag11])). 22.47/22.70 tff('88', plain, $false, inference('sup-', [status(thm)], ['86', '87'])). 22.47/22.70 22.47/22.70 % SZS output end Refutation 22.47/22.70 22.54/22.71 % Zipperpin 1.5 exiting 22.54/22.71 EOF