0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.bkvfIRLNGU 0.16/0.36 % Computer : n021.cluster.edu 0.16/0.36 % Model : x86_64 x86_64 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.36 % Memory : 8042.1875MB 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.36 % CPULimit : 960 0.16/0.36 % DateTime : Thu Jul 2 08:47:52 EDT 2020 0.16/0.37 % CPUTime : 0.16/0.37 % Running portfolio for 120 s 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.16/0.37 % Number of cores: 8 0.16/0.37 % Python version: Python 3.6.8 0.16/0.37 % Running in FO mode 64.99/65.25 % Running /export/starexec/sandbox/solver/bin/fo/fo7.sh for 25 64.99/65.25 % Running /export/starexec/sandbox/solver/bin/fo/fo8.sh for 20 64.99/65.25 % Running /export/starexec/sandbox/solver/bin/fo/fo5.sh for 20 64.99/65.25 % Running /export/starexec/sandbox/solver/bin/fo/fo11.sh for 20 64.99/65.25 % Solved by: fo/fo11.sh 64.99/65.25 To remain in the chosen logic fragment, unification with booleans has been disabled. 64.99/65.25 % done 275 iterations in 0.189s 64.99/65.25 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 64.99/65.25 % SZS output start Refutation 64.99/65.25 tff(partition, axiom, 64.99/65.25 (![A,E]: 64.99/65.25 (partition(A,E) <=> 64.99/65.25 ((![X,Y]: 64.99/65.25 ((member(Y,A) & member(X,A)) => 64.99/65.25 ((?[Z]: (member(Z,X) & member(Z,Y))) => (X = Y)))) & 64.99/65.25 (![X]: (member(X,E) => (?[Y]: (member(Y,A) & member(X,Y))))) & 64.99/65.25 (![X]: (member(X,A) => subset(X,E))))))). 64.99/65.25 tff(zf_stmt_0, axiom, 64.99/65.25 (zip_tseitin_6(Y,X,A) <=> (zip_tseitin_3(Y,X,A) => zip_tseitin_5(Y,X)))). 64.99/65.25 tff('0', plain, 64.99/65.25 ![X51, X52, X53]: 64.99/65.25 ( zip_tseitin_6(X53, X51, X52) | ~ zip_tseitin_5(X53, X51)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_0])). 64.99/65.25 tff(zf_stmt_1, axiom, 64.99/65.25 (zip_tseitin_7(X,E,A) <=> 64.99/65.25 (member(X,E) => (?[Y]: (member(X,Y) & member(Y,A)))))). 64.99/65.25 tff('1', plain, 64.99/65.25 ![X52, X56, X57]: ( zip_tseitin_7(X56, X57, X52) | member(X56, X57)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_1])). 64.99/65.25 tff(zf_stmt_2, axiom, 64.99/65.25 (zip_tseitin_8(X,E,A) <=> (member(X,A) => subset(X,E)))). 64.99/65.25 tff('2', plain, 64.99/65.25 ![X52, X57, X59]: ( zip_tseitin_8(X59, X57, X52) | member(X59, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_2])). 64.99/65.25 tff(zf_stmt_3, type, zip_tseitin_8 : ($i * $i * $i) > $o). 64.99/65.25 tff(zf_stmt_4, type, zip_tseitin_7 : ($i * $i * $i) > $o). 64.99/65.25 tff(zf_stmt_5, type, zip_tseitin_6 : ($i * $i * $i) > $o). 64.99/65.25 tff(zf_stmt_6, type, zip_tseitin_5 : ($i * $i) > $o). 64.99/65.25 tff(zf_stmt_7, axiom, 64.99/65.25 (zip_tseitin_5(Y,X) <=> ((?[Z]: zip_tseitin_4(Z,Y,X)) => (X = Y)))). 64.99/65.25 tff(zf_stmt_8, type, zip_tseitin_4 : ($i * $i * $i) > $o). 64.99/65.25 tff(zf_stmt_9, axiom, (zip_tseitin_4(Z,Y,X) <=> (member(Z,Y) & member(Z,X)))). 64.99/65.25 tff(zf_stmt_10, type, zip_tseitin_3 : ($i * $i * $i) > $o). 64.99/65.25 tff(zf_stmt_11, axiom, 64.99/65.25 (zip_tseitin_3(Y,X,A) <=> (member(X,A) & member(Y,A)))). 64.99/65.25 tff(zf_stmt_12, axiom, 64.99/65.25 (![A,E]: 64.99/65.25 (partition(A,E) <=> 64.99/65.25 ((![X]: zip_tseitin_8(X,E,A)) & (![X]: zip_tseitin_7(X,E,A)) & 64.99/65.25 (![X,Y]: zip_tseitin_6(Y,X,A)))))). 64.99/65.25 tff('3', plain, 64.99/65.25 ![X62, X66]: 64.99/65.25 ( partition(X62, X66) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(X62), sk_X_3(X62), X62) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(X66, X62), X66, X62) 64.99/65.25 | ~ zip_tseitin_8(sk_X_5(X66, X62), X66, X62)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_12])). 64.99/65.25 tff(set_partitions_itself, conjecture, 64.99/65.25 (![E]: ((E != empty_set) => partition(singleton(E),E)))). 64.99/65.25 tff(zf_stmt_13, negated_conjecture, 64.99/65.25 (~(![E]: ((E != empty_set) => partition(singleton(E),E))))). 64.99/65.25 tff('4', plain, ~ partition(singleton(sk_E), sk_E), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_13])). 64.99/65.25 tff('5', plain, 64.99/65.25 (~ zip_tseitin_8(sk_X_5(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['3', '4'])). 64.99/65.25 tff('6', plain, 64.99/65.25 ( member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['2', '5'])). 64.99/65.25 tff('7', plain, 64.99/65.25 ( member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['1', '6'])). 64.99/65.25 tff('8', plain, 64.99/65.25 (~ zip_tseitin_5(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E))) 64.99/65.25 | member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['0', '7'])). 64.99/65.25 tff('9', plain, 64.99/65.25 ![X52, X56, X57]: ( zip_tseitin_7(X56, X57, X52) | member(X56, X57)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_1])). 64.99/65.25 tff('10', plain, 64.99/65.25 ![X51, X52, X53]: 64.99/65.25 ( zip_tseitin_6(X53, X51, X52) | zip_tseitin_3(X53, X51, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_0])). 64.99/65.25 tff('11', plain, 64.99/65.25 ( member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['1', '6'])). 64.99/65.25 tff('12', plain, 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['10', '11'])). 64.99/65.25 tff(singleton, axiom, (![X,A]: (member(X,singleton(A)) <=> (A = X)))). 64.99/65.25 tff('13', plain, ![X15, X16]: (X16 = X15 | ~ member(X15, singleton(X16))), 64.99/65.25 inference('cnf', [status(esa)], [singleton])). 64.99/65.25 tff('14', plain, 64.99/65.25 ( member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | sk_E = sk_X_5(sk_E, singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['12', '13'])). 64.99/65.25 tff('15', plain, 64.99/65.25 ![X52, X57, X59]: ( zip_tseitin_8(X59, X57, X52) | ~ subset(X59, X57)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_2])). 64.99/65.25 tff('16', plain, 64.99/65.25 (~ zip_tseitin_8(sk_X_5(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['3', '4'])). 64.99/65.25 tff('17', plain, 64.99/65.25 (~ subset(sk_X_5(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['15', '16'])). 64.99/65.25 tff('18', plain, 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ subset(sk_E, sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['14', '17'])). 64.99/65.25 tff(subset, axiom, 64.99/65.25 (![A,B]: (subset(A,B) <=> (![X]: (member(X,A) => member(X,B)))))). 64.99/65.25 tff('19', plain, 64.99/65.25 ![X19, X21]: ( subset(X19, X21) | member(sk_X(X21, X19), X19)), 64.99/65.25 inference('cnf', [status(esa)], [subset])). 64.99/65.25 tff('20', plain, 64.99/65.25 ![X19, X21]: ( subset(X19, X21) | ~ member(sk_X(X21, X19), X21)), 64.99/65.25 inference('cnf', [status(esa)], [subset])). 64.99/65.25 tff('21', plain, ![X0]: ( subset(X0, X0) | subset(X0, X0)), 64.99/65.25 inference('s_sup-', [status(thm)], ['19', '20'])). 64.99/65.25 tff('22', plain, ![X0]: subset(X0, X0), 64.99/65.25 inference('simplify', [status(thm)], ['21'])). 64.99/65.25 tff('23', plain, 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['18', '22'])). 64.99/65.25 tff('24', plain, 64.99/65.25 ( member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['9', '23'])). 64.99/65.25 tff('25', plain, 64.99/65.25 (~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | member(sk_X_4(sk_E, singleton(sk_E)), sk_E)), 64.99/65.25 inference('simplify', [status(thm)], ['24'])). 64.99/65.25 tff('26', plain, 64.99/65.25 ![X51, X52, X53]: 64.99/65.25 ( zip_tseitin_6(X53, X51, X52) | zip_tseitin_3(X53, X51, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_0])). 64.99/65.25 tff('27', plain, 64.99/65.25 ( member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('clc', [status(thm)], ['25', '26'])). 64.99/65.25 tff('28', plain, 64.99/65.25 ![X52, X56, X57, X58]: 64.99/65.25 ( zip_tseitin_7(X56, X57, X52) 64.99/65.25 | ~ member(X56, X58) 64.99/65.25 | ~ member(X58, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_1])). 64.99/65.25 tff('29', plain, 64.99/65.25 ![X0, X1]: 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), X1, X0) 64.99/65.25 | ~ member(sk_E, X0)), 64.99/65.25 inference('s_sup-', [status(thm)], ['27', '28'])). 64.99/65.25 tff('30', plain, 64.99/65.25 ![X0, X1]: 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), X1, X0) 64.99/65.25 | ~ member(sk_E, X0)), 64.99/65.25 inference('s_sup-', [status(thm)], ['27', '28'])). 64.99/65.25 tff('31', plain, 64.99/65.25 ( member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['2', '5'])). 64.99/65.25 tff('32', plain, 64.99/65.25 (~ member(sk_E, singleton(sk_E)) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['30', '31'])). 64.99/65.25 tff('33', plain, ![X15, X17]: ( member(X15, singleton(X17)) | X17 != X15), 64.99/65.25 inference('cnf', [status(esa)], [singleton])). 64.99/65.25 tff('34', plain, ![X15]: member(X15, singleton(X15)), 64.99/65.25 inference('simplify', [status(thm)], ['33'])). 64.99/65.25 tff('35', plain, 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['32', '34'])). 64.99/65.25 tff('36', plain, 64.99/65.25 ![X51, X52, X53]: 64.99/65.25 ( zip_tseitin_6(X53, X51, X52) | zip_tseitin_3(X53, X51, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_0])). 64.99/65.25 tff('37', plain, 64.99/65.25 ( member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E)) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('clc', [status(thm)], ['35', '36'])). 64.99/65.25 tff('38', plain, ![X15, X16]: (X16 = X15 | ~ member(X15, singleton(X16))), 64.99/65.25 inference('cnf', [status(esa)], [singleton])). 64.99/65.25 tff('39', plain, 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | sk_E = sk_X_5(sk_E, singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['37', '38'])). 64.99/65.25 tff('40', plain, 64.99/65.25 (~ subset(sk_X_5(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['15', '16'])). 64.99/65.25 tff('41', plain, 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | ~ subset(sk_E, sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['39', '40'])). 64.99/65.25 tff('42', plain, ![X0]: subset(X0, X0), 64.99/65.25 inference('simplify', [status(thm)], ['21'])). 64.99/65.25 tff('43', plain, 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['41', '42'])). 64.99/65.25 tff('44', plain, 64.99/65.25 ![X51, X52, X53]: 64.99/65.25 ( zip_tseitin_6(X53, X51, X52) | zip_tseitin_3(X53, X51, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_0])). 64.99/65.25 tff('45', plain, 64.99/65.25 (~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('clc', [status(thm)], ['43', '44'])). 64.99/65.25 tff('46', plain, 64.99/65.25 (~ member(sk_E, singleton(sk_E)) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['29', '45'])). 64.99/65.25 tff('47', plain, ![X15]: member(X15, singleton(X15)), 64.99/65.25 inference('simplify', [status(thm)], ['33'])). 64.99/65.25 tff('48', plain, 64.99/65.25 ( zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)) 64.99/65.25 | zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['46', '47'])). 64.99/65.25 tff('49', plain, 64.99/65.25 zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)), 64.99/65.25 inference('simplify', [status(thm)], ['48'])). 64.99/65.25 tff('50', plain, 64.99/65.25 ![X51, X52, X53]: ( member(X51, X52) | ~ zip_tseitin_3(X53, X51, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_11])). 64.99/65.25 tff('51', plain, member(sk_X_3(singleton(sk_E)), singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['49', '50'])). 64.99/65.25 tff('52', plain, ![X15, X16]: (X16 = X15 | ~ member(X15, singleton(X16))), 64.99/65.25 inference('cnf', [status(esa)], [singleton])). 64.99/65.25 tff('53', plain, sk_E = sk_X_3(singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['51', '52'])). 64.99/65.25 tff('54', plain, 64.99/65.25 (~ zip_tseitin_5(sk_Y_4(singleton(sk_E)), sk_E) 64.99/65.25 | member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['8', '53'])). 64.99/65.25 tff('55', plain, 64.99/65.25 zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E)), 64.99/65.25 inference('simplify', [status(thm)], ['48'])). 64.99/65.25 tff('56', plain, sk_E = sk_X_3(singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['51', '52'])). 64.99/65.25 tff('57', plain, 64.99/65.25 zip_tseitin_3(sk_Y_4(singleton(sk_E)), sk_E, singleton(sk_E)), 64.99/65.25 inference('demod', [status(thm)], ['55', '56'])). 64.99/65.25 tff('58', plain, 64.99/65.25 ![X51, X52, X53]: ( member(X53, X52) | ~ zip_tseitin_3(X53, X51, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_11])). 64.99/65.25 tff('59', plain, member(sk_Y_4(singleton(sk_E)), singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['57', '58'])). 64.99/65.25 tff('60', plain, ![X15, X16]: (X16 = X15 | ~ member(X15, singleton(X16))), 64.99/65.25 inference('cnf', [status(esa)], [singleton])). 64.99/65.25 tff('61', plain, sk_E = sk_Y_4(singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['59', '60'])). 64.99/65.25 tff('62', plain, ![X51, X53]: ( zip_tseitin_5(X53, X51) | X51 != X53), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_7])). 64.99/65.25 tff('63', plain, ![X53]: zip_tseitin_5(X53, X53), 64.99/65.25 inference('simplify', [status(thm)], ['62'])). 64.99/65.25 tff('64', plain, 64.99/65.25 ( member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['54', '61', '63'])). 64.99/65.25 tff('65', plain, ![X15, X16]: (X16 = X15 | ~ member(X15, singleton(X16))), 64.99/65.25 inference('cnf', [status(esa)], [singleton])). 64.99/65.25 tff('66', plain, 64.99/65.25 ( member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | sk_E = sk_X_5(sk_E, singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['64', '65'])). 64.99/65.25 tff('67', plain, 64.99/65.25 ![X51, X52, X53]: 64.99/65.25 ( zip_tseitin_6(X53, X51, X52) | ~ zip_tseitin_5(X53, X51)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_0])). 64.99/65.25 tff('68', plain, 64.99/65.25 (~ subset(sk_X_5(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['15', '16'])). 64.99/65.25 tff('69', plain, sk_E = sk_X_3(singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['51', '52'])). 64.99/65.25 tff('70', plain, 64.99/65.25 (~ subset(sk_X_5(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['68', '69'])). 64.99/65.25 tff('71', plain, sk_E = sk_Y_4(singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['59', '60'])). 64.99/65.25 tff('72', plain, 64.99/65.25 (~ subset(sk_X_5(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_E, sk_E, singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['70', '71'])). 64.99/65.25 tff('73', plain, 64.99/65.25 (~ zip_tseitin_5(sk_E, sk_E) 64.99/65.25 | ~ subset(sk_X_5(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['67', '72'])). 64.99/65.25 tff('74', plain, ![X53]: zip_tseitin_5(X53, X53), 64.99/65.25 inference('simplify', [status(thm)], ['62'])). 64.99/65.25 tff('75', plain, 64.99/65.25 (~ subset(sk_X_5(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['73', '74'])). 64.99/65.25 tff('76', plain, 64.99/65.25 ( member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ subset(sk_E, sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['66', '75'])). 64.99/65.25 tff('77', plain, ![X0]: subset(X0, X0), 64.99/65.25 inference('simplify', [status(thm)], ['21'])). 64.99/65.25 tff('78', plain, 64.99/65.25 ( member(sk_X_4(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['76', '77'])). 64.99/65.25 tff('79', plain, 64.99/65.25 ![X52, X56, X57]: ( zip_tseitin_7(X56, X57, X52) | member(X56, X57)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_1])). 64.99/65.25 tff('80', plain, member(sk_X_4(sk_E, singleton(sk_E)), sk_E), 64.99/65.25 inference('clc', [status(thm)], ['78', '79'])). 64.99/65.25 tff('81', plain, 64.99/65.25 ![X52, X56, X57, X58]: 64.99/65.25 ( zip_tseitin_7(X56, X57, X52) 64.99/65.25 | ~ member(X56, X58) 64.99/65.25 | ~ member(X58, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_1])). 64.99/65.25 tff('82', plain, 64.99/65.25 ![X0, X1]: 64.99/65.25 ( zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), X1, X0) 64.99/65.25 | ~ member(sk_E, X0)), 64.99/65.25 inference('s_sup-', [status(thm)], ['80', '81'])). 64.99/65.25 tff('83', plain, 64.99/65.25 (~ subset(sk_X_5(sk_E, singleton(sk_E)), sk_E) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['73', '74'])). 64.99/65.25 tff('84', plain, 64.99/65.25 ![X0, X1]: 64.99/65.25 ( zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), X1, X0) 64.99/65.25 | ~ member(sk_E, X0)), 64.99/65.25 inference('s_sup-', [status(thm)], ['80', '81'])). 64.99/65.25 tff('85', plain, 64.99/65.25 ![X52, X57, X59]: ( zip_tseitin_8(X59, X57, X52) | member(X59, X52)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_2])). 64.99/65.25 tff('86', plain, 64.99/65.25 ![X51, X52, X53]: 64.99/65.25 ( zip_tseitin_6(X53, X51, X52) | ~ zip_tseitin_5(X53, X51)), 64.99/65.25 inference('cnf', [status(esa)], [zf_stmt_0])). 64.99/65.25 tff('87', plain, 64.99/65.25 (~ zip_tseitin_8(sk_X_5(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_X_3(singleton(sk_E)), 64.99/65.25 singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['3', '4'])). 64.99/65.25 tff('88', plain, sk_E = sk_X_3(singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['51', '52'])). 64.99/65.25 tff('89', plain, 64.99/65.25 (~ zip_tseitin_8(sk_X_5(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_Y_4(singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['87', '88'])). 64.99/65.25 tff('90', plain, sk_E = sk_Y_4(singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['59', '60'])). 64.99/65.25 tff('91', plain, 64.99/65.25 (~ zip_tseitin_8(sk_X_5(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_6(sk_E, sk_E, singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['89', '90'])). 64.99/65.25 tff('92', plain, 64.99/65.25 (~ zip_tseitin_5(sk_E, sk_E) 64.99/65.25 | ~ zip_tseitin_8(sk_X_5(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['86', '91'])). 64.99/65.25 tff('93', plain, ![X53]: zip_tseitin_5(X53, X53), 64.99/65.25 inference('simplify', [status(thm)], ['62'])). 64.99/65.25 tff('94', plain, 64.99/65.25 (~ zip_tseitin_8(sk_X_5(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('demod', [status(thm)], ['92', '93'])). 64.99/65.25 tff('95', plain, 64.99/65.25 ( member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E)) 64.99/65.25 | ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['85', '94'])). 64.99/65.25 tff('96', plain, 64.99/65.25 (~ member(sk_E, singleton(sk_E)) 64.99/65.25 | member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E))), 64.99/65.25 inference('s_sup-', [status(thm)], ['84', '95'])). 64.99/65.25 tff('97', plain, ![X15]: member(X15, singleton(X15)), 64.99/65.25 inference('simplify', [status(thm)], ['33'])). 64.99/65.25 tff('98', plain, member(sk_X_5(sk_E, singleton(sk_E)), singleton(sk_E)), 64.99/65.25 inference('demod', [status(thm)], ['96', '97'])). 64.99/65.25 tff('99', plain, ![X15, X16]: (X16 = X15 | ~ member(X15, singleton(X16))), 64.99/65.25 inference('cnf', [status(esa)], [singleton])). 64.99/65.25 tff('100', plain, sk_E = sk_X_5(sk_E, singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['98', '99'])). 64.99/65.25 tff('101', plain, ![X0]: subset(X0, X0), 64.99/65.25 inference('simplify', [status(thm)], ['21'])). 64.99/65.25 tff('102', plain, 64.99/65.25 ~ zip_tseitin_7(sk_X_4(sk_E, singleton(sk_E)), sk_E, singleton(sk_E)), 64.99/65.25 inference('demod', [status(thm)], ['83', '100', '101'])). 64.99/65.25 tff('103', plain, ~ member(sk_E, singleton(sk_E)), 64.99/65.25 inference('s_sup-', [status(thm)], ['82', '102'])). 64.99/65.25 tff('104', plain, ![X15]: member(X15, singleton(X15)), 64.99/65.25 inference('simplify', [status(thm)], ['33'])). 64.99/65.25 tff('105', plain, $false, inference('demod', [status(thm)], ['103', '104'])). 64.99/65.25 64.99/65.25 % SZS output end Refutation 64.99/65.25 64.99/65.26 % Zipperpin 1.5 exiting 64.99/65.26 EOF