0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.1YC9UhoXc8 0.14/0.34 % Computer : n019.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % DateTime : Thu Jul 2 07:44:11 EDT 2020 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 120 s 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.35 % Python version: Python 3.6.8 0.14/0.35 % Running in FO mode 0.63/0.83 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 0.63/0.83 % Solved by: fo/fo7.sh 0.63/0.83 To remain in the chosen logic fragment, unification with booleans has been disabled. 0.63/0.83 % done 560 iterations in 0.370s 0.63/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.63/0.83 % SZS output start Refutation 0.63/0.83 tff(s1_xboole_0__e4_27_3_1__finset_1, conjecture, 0.63/0.83 (![A,B]: 0.63/0.83 ((ordinal(A) & element(B,powerset(powerset(succ(A))))) => 0.63/0.83 (?[C]: 0.63/0.83 (![D]: 0.63/0.83 (((?[E]: ((set_difference(E,singleton(A)) = D) & in(E,B))) & 0.63/0.83 in(D,powerset(A))) <=> 0.63/0.83 in(D,C))))))). 0.63/0.83 tff(zf_stmt_0, negated_conjecture, 0.63/0.83 (~ 0.63/0.83 (![A,B]: 0.63/0.83 ((ordinal(A) & element(B,powerset(powerset(succ(A))))) => 0.63/0.83 (?[C]: 0.63/0.83 (![D]: 0.63/0.83 (((?[E]: ((set_difference(E,singleton(A)) = D) & in(E,B))) & 0.63/0.83 in(D,powerset(A))) <=> 0.63/0.83 in(D,C)))))))). 0.63/0.83 tff('0', plain, element(sk_B_1, powerset(powerset(succ(sk_A_1)))), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_0])). 0.63/0.83 tff(s1_tarski__e4_27_3_1__finset_1__1, axiom, 0.63/0.83 (![A,B]: 0.63/0.83 ((ordinal(A) & element(B,powerset(powerset(succ(A))))) => 0.63/0.83 ((![C,D,E]: 0.63/0.83 (((?[F]: ((set_difference(F,singleton(A)) = D) & in(F,B))) & 0.63/0.83 (C = E) & 0.63/0.83 (?[G]: ((set_difference(G,singleton(A)) = E) & in(G,B))) & 0.63/0.83 (C = D)) => 0.63/0.83 (E = D))) => 0.63/0.83 (?[C]: 0.63/0.83 (![D]: 0.63/0.83 ((?[E]: 0.63/0.83 (in(E,powerset(A)) & 0.63/0.83 (?[H]: ((D = set_difference(H,singleton(A))) & in(H,B))) & 0.63/0.83 (E = D))) <=> 0.63/0.83 in(D,C)))))))). 0.63/0.83 tff(zf_stmt_1, type, zip_tseitin_6 : ($i * $i * $i * $i) > $o). 0.63/0.83 tff(zf_stmt_2, axiom, 0.63/0.83 (zip_tseitin_6(D,C,B,A) => ((?[E]: zip_tseitin_5(E,D,B,A)) <=> in(D,C)))). 0.63/0.83 tff(zf_stmt_3, type, zip_tseitin_5 : ($i * $i * $i * $i) > $o). 0.63/0.83 tff(zf_stmt_4, axiom, 0.63/0.83 (zip_tseitin_5(E,D,B,A) <=> 0.63/0.83 ((E = D) & (?[H]: zip_tseitin_4(H,D,B,A)) & in(E,powerset(A))))). 0.63/0.83 tff(zf_stmt_5, type, zip_tseitin_4 : ($i * $i * $i * $i) > $o). 0.63/0.83 tff(zf_stmt_6, axiom, 0.63/0.83 (zip_tseitin_4(H,D,B,A) <=> 0.63/0.83 (in(H,B) & (D = set_difference(H,singleton(A)))))). 0.63/0.83 tff(zf_stmt_7, type, zip_tseitin_3 : ($i * $i * $i * $i * $i) > $o). 0.63/0.83 tff(zf_stmt_8, axiom, 0.63/0.83 ((zip_tseitin_2(E,D,C,B,A) => (E = D)) => zip_tseitin_3(E,D,C,B,A))). 0.63/0.83 tff(zf_stmt_9, type, zip_tseitin_2 : ($i * $i * $i * $i * $i) > $o). 0.63/0.83 tff(zf_stmt_10, axiom, 0.63/0.83 (zip_tseitin_2(E,D,C,B,A) => 0.63/0.83 ((C = D) & (?[G]: zip_tseitin_1(G,E,B,A)) & (C = E) & 0.63/0.83 (?[F]: zip_tseitin_0(F,D,B,A))))). 0.63/0.83 tff(zf_stmt_11, type, zip_tseitin_1 : ($i * $i * $i * $i) > $o). 0.63/0.83 tff(zf_stmt_12, axiom, 0.63/0.83 (zip_tseitin_1(G,E,B,A) => (in(G,B) & (set_difference(G,singleton(A)) = E)))). 0.63/0.83 tff(zf_stmt_13, type, zip_tseitin_0 : ($i * $i * $i * $i) > $o). 0.63/0.83 tff(zf_stmt_14, axiom, 0.63/0.83 (zip_tseitin_0(F,D,B,A) => (in(F,B) & (set_difference(F,singleton(A)) = D)))). 0.63/0.83 tff(zf_stmt_15, axiom, 0.63/0.83 (![A,B]: 0.63/0.83 ((element(B,powerset(powerset(succ(A)))) & ordinal(A)) => 0.63/0.83 ((![C,D,E]: zip_tseitin_3(E,D,C,B,A)) => 0.63/0.83 (?[C]: (![D]: zip_tseitin_6(D,C,B,A))))))). 0.63/0.83 tff('1', plain, 0.63/0.83 ![X21, X22, X23]: 0.63/0.83 (~ ordinal(X21) 0.63/0.83 | ~ element(X22, powerset(powerset(succ(X21)))) 0.63/0.83 | zip_tseitin_6(X23, sk_C_1(X22, X21), X22, X21) 0.63/0.83 | ~ zip_tseitin_3(sk_E_1(X22, X21), sk_D(X22, X21), sk_C(X22, X21), 0.63/0.83 X22, X21)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_15])). 0.63/0.83 tff('2', plain, 0.63/0.83 ![X0]: 0.63/0.83 (~ zip_tseitin_3(sk_E_1(sk_B_1, sk_A_1), sk_D(sk_B_1, sk_A_1), 0.63/0.83 sk_C(sk_B_1, sk_A_1), sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1) 0.63/0.83 | ~ ordinal(sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['0', '1'])). 0.63/0.83 tff('3', plain, ordinal(sk_A_1), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_0])). 0.63/0.83 tff('4', plain, 0.63/0.83 ![X0]: 0.63/0.83 (~ zip_tseitin_3(sk_E_1(sk_B_1, sk_A_1), sk_D(sk_B_1, sk_A_1), 0.63/0.83 sk_C(sk_B_1, sk_A_1), sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1)), 0.63/0.83 inference('demod', [status(thm)], ['2', '3'])). 0.63/0.83 tff('5', plain, 0.63/0.83 ![X9, X10, X11, X13, X14]: 0.63/0.83 ( zip_tseitin_3(X13, X10, X14, X9, X11) 0.63/0.83 | zip_tseitin_2(X13, X10, X14, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_8])). 0.63/0.83 tff('6', plain, 0.63/0.83 ![X9, X10, X11, X13, X14]: 0.63/0.83 (X14 = X10 | ~ zip_tseitin_2(X13, X10, X14, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_10])). 0.63/0.83 tff('7', plain, 0.63/0.83 ![X0, X1, X2, X3, X4]: ( zip_tseitin_3(X4, X3, X2, X1, X0) | X2 = X3), 0.63/0.83 inference('sup-', [status(thm)], ['5', '6'])). 0.63/0.83 tff('8', plain, 0.63/0.83 ![X0]: 0.63/0.83 (~ zip_tseitin_3(sk_E_1(sk_B_1, sk_A_1), sk_D(sk_B_1, sk_A_1), 0.63/0.83 sk_C(sk_B_1, sk_A_1), sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1)), 0.63/0.83 inference('demod', [status(thm)], ['2', '3'])). 0.63/0.83 tff('9', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['7', '8'])). 0.63/0.83 tff('10', plain, 0.63/0.83 ![X24]: 0.63/0.83 ( in(sk_D_1(X24), X24) 0.63/0.83 | set_difference(sk_E_2(X24), singleton(sk_A_1)) = sk_D_1(X24)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_0])). 0.63/0.83 tff('11', plain, ![X24]: ( in(sk_D_1(X24), X24) | in(sk_E_2(X24), sk_B_1)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_0])). 0.63/0.83 tff('12', plain, 0.63/0.83 ![X9, X11, X15, X16]: 0.63/0.83 ( zip_tseitin_4(X15, X16, X9, X11) 0.63/0.83 | X16 != set_difference(X15, singleton(X11)) 0.63/0.83 | ~ in(X15, X9)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_6])). 0.63/0.83 tff('13', plain, 0.63/0.83 ![X9, X11, X15]: 0.63/0.83 (~ in(X15, X9) 0.63/0.83 | zip_tseitin_4(X15, set_difference(X15, singleton(X11)), X9, X11)), 0.63/0.83 inference('simplify', [status(thm)], ['12'])). 0.63/0.83 tff('14', plain, 0.63/0.83 ![X0, X1]: 0.63/0.83 ( in(sk_D_1(X0), X0) 0.63/0.83 | zip_tseitin_4(sk_E_2(X0), 0.63/0.83 set_difference(sk_E_2(X0), singleton(X1)), sk_B_1, X1)), 0.63/0.83 inference('sup-', [status(thm)], ['11', '13'])). 0.63/0.83 tff('15', plain, 0.63/0.83 ![X0]: 0.63/0.83 ( zip_tseitin_4(sk_E_2(X0), sk_D_1(X0), sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(X0), X0) 0.63/0.83 | in(sk_D_1(X0), X0)), 0.63/0.83 inference('sup+', [status(thm)], ['10', '14'])). 0.63/0.83 tff('16', plain, 0.63/0.83 ![X0]: 0.63/0.83 ( in(sk_D_1(X0), X0) 0.63/0.83 | zip_tseitin_4(sk_E_2(X0), sk_D_1(X0), sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['15'])). 0.63/0.83 tff('17', plain, 0.63/0.83 ![X24]: ( in(sk_D_1(X24), X24) | in(sk_D_1(X24), powerset(sk_A_1))), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_0])). 0.63/0.83 tff('18', plain, 0.63/0.83 ![X9, X11, X16, X17, X18]: 0.63/0.83 ( zip_tseitin_5(X17, X16, X9, X11) 0.63/0.83 | ~ in(X17, powerset(X11)) 0.63/0.83 | ~ zip_tseitin_4(X18, X16, X9, X11) 0.63/0.83 | X17 != X16), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('19', plain, 0.63/0.83 ![X9, X11, X16, X18]: 0.63/0.83 (~ zip_tseitin_4(X18, X16, X9, X11) 0.63/0.83 | ~ in(X16, powerset(X11)) 0.63/0.83 | zip_tseitin_5(X16, X16, X9, X11)), 0.63/0.83 inference('simplify', [status(thm)], ['18'])). 0.63/0.83 tff('20', plain, 0.63/0.83 ![X0, X1, X2]: 0.63/0.83 ( in(sk_D_1(X0), X0) 0.63/0.83 | zip_tseitin_5(sk_D_1(X0), sk_D_1(X0), X1, sk_A_1) 0.63/0.83 | ~ zip_tseitin_4(X2, sk_D_1(X0), X1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['17', '19'])). 0.63/0.83 tff('21', plain, 0.63/0.83 ![X0]: 0.63/0.83 ( in(sk_D_1(X0), X0) 0.63/0.83 | zip_tseitin_5(sk_D_1(X0), sk_D_1(X0), sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(X0), X0)), 0.63/0.83 inference('sup-', [status(thm)], ['16', '20'])). 0.63/0.83 tff('22', plain, 0.63/0.83 ![X0]: 0.63/0.83 ( zip_tseitin_5(sk_D_1(X0), sk_D_1(X0), sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(X0), X0)), 0.63/0.83 inference('simplify', [status(thm)], ['21'])). 0.63/0.83 tff('23', plain, 0.63/0.83 ![X9, X11, X16, X19, X20]: 0.63/0.83 (~ zip_tseitin_5(X20, X16, X9, X11) 0.63/0.83 | in(X16, X19) 0.63/0.83 | ~ zip_tseitin_6(X16, X19, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_2])). 0.63/0.83 tff('24', plain, 0.63/0.83 ![X0, X1]: 0.63/0.83 ( in(sk_D_1(X0), X0) 0.63/0.83 | ~ zip_tseitin_6(sk_D_1(X0), X1, sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(X0), X1)), 0.63/0.83 inference('sup-', [status(thm)], ['22', '23'])). 0.63/0.83 tff('25', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(X0), sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | in(sk_D_1(X0), X0)), 0.63/0.83 inference('sup-', [status(thm)], ['9', '24'])). 0.63/0.83 tff('26', plain, 0.63/0.83 ( in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('eq_fact', [status(thm)], ['25'])). 0.63/0.83 tff('27', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['7', '8'])). 0.63/0.83 tff('28', plain, 0.63/0.83 ![X9, X11, X16, X19]: 0.63/0.83 (~ in(X16, X19) 0.63/0.83 | zip_tseitin_5(sk_E(X16, X9, X11), X16, X9, X11) 0.63/0.83 | ~ zip_tseitin_6(X16, X19, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_2])). 0.63/0.83 tff('29', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_5(sk_E(X0, sk_B_1, sk_A_1), X0, sk_B_1, sk_A_1) 0.63/0.83 | ~ in(X0, sk_C_1(sk_B_1, sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['27', '28'])). 0.63/0.83 tff('30', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['26', '29'])). 0.63/0.83 tff('31', plain, 0.63/0.83 ( zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['30'])). 0.63/0.83 tff('32', plain, 0.63/0.83 ![X9, X11, X16, X17]: 0.63/0.83 ( zip_tseitin_4(sk_H(X16, X9, X11), X16, X9, X11) 0.63/0.83 | ~ zip_tseitin_5(X17, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('33', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_4(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['31', '32'])). 0.63/0.83 tff('34', plain, 0.63/0.83 ![X9, X11, X15, X16]: 0.63/0.83 (X16 = set_difference(X15, singleton(X11)) 0.63/0.83 | ~ zip_tseitin_4(X15, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_6])). 0.63/0.83 tff('35', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 = set_difference( 0.63/0.83 sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 singleton(sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['33', '34'])). 0.63/0.83 tff('36', plain, 0.63/0.83 ( in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('eq_fact', [status(thm)], ['25'])). 0.63/0.83 tff('37', plain, 0.63/0.83 ( zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['30'])). 0.63/0.83 tff('38', plain, 0.63/0.83 ![X9, X11, X16, X17]: (X17 = X16 | ~ zip_tseitin_5(X17, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('39', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 = sk_D_1(sk_C_1(sk_B_1, sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['37', '38'])). 0.63/0.83 tff('40', plain, 0.63/0.83 ( zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['30'])). 0.63/0.83 tff('41', plain, 0.63/0.83 ![X9, X11, X16, X17]: 0.63/0.83 ( in(X17, powerset(X11)) | ~ zip_tseitin_5(X17, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('42', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | in(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 powerset(sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['40', '41'])). 0.63/0.83 tff('43', plain, 0.63/0.83 ( in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), powerset(sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('sup+', [status(thm)], ['39', '42'])). 0.63/0.83 tff('44', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), powerset(sk_A_1))), 0.63/0.83 inference('simplify', [status(thm)], ['43'])). 0.63/0.83 tff('45', plain, 0.63/0.83 ![X24, X25]: 0.63/0.83 (~ in(sk_D_1(X24), X24) 0.63/0.83 | ~ in(sk_D_1(X24), powerset(sk_A_1)) 0.63/0.83 | ~ in(X25, sk_B_1) 0.63/0.83 | set_difference(X25, singleton(sk_A_1)) != sk_D_1(X24)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_0])). 0.63/0.83 tff('46', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | set_difference(X0, singleton(sk_A_1)) 0.63/0.83 != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | ~ in(X0, sk_B_1) 0.63/0.83 | ~ in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_C_1(sk_B_1, sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['44', '45'])). 0.63/0.83 tff('47', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | ~ in(X0, sk_B_1) 0.63/0.83 | set_difference(X0, singleton(sk_A_1)) 0.63/0.83 != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['36', '46'])). 0.63/0.83 tff('48', plain, 0.63/0.83 ![X0]: 0.63/0.83 (set_difference(X0, singleton(sk_A_1)) 0.63/0.83 != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | ~ in(X0, sk_B_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['47'])). 0.63/0.83 tff('49', plain, 0.63/0.83 (sk_D_1(sk_C_1(sk_B_1, sk_A_1)) != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | ~ in(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), sk_B_1)), 0.63/0.83 inference('sup-', [status(thm)], ['35', '48'])). 0.63/0.83 tff('50', plain, 0.63/0.83 (~ in(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), sk_B_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['49'])). 0.63/0.83 tff('51', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_4(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['31', '32'])). 0.63/0.83 tff('52', plain, 0.63/0.83 ![X9, X11, X15, X16]: ( in(X15, X9) | ~ zip_tseitin_4(X15, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_6])). 0.63/0.83 tff('53', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1) 0.63/0.83 | in(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), sk_B_1)), 0.63/0.83 inference('sup-', [status(thm)], ['51', '52'])). 0.63/0.83 tff('54', plain, sk_C(sk_B_1, sk_A_1) = sk_D(sk_B_1, sk_A_1), 0.63/0.83 inference('clc', [status(thm)], ['50', '53'])). 0.63/0.83 tff('55', plain, 0.63/0.83 ![X0]: 0.63/0.83 (~ zip_tseitin_3(sk_E_1(sk_B_1, sk_A_1), sk_C(sk_B_1, sk_A_1), 0.63/0.83 sk_C(sk_B_1, sk_A_1), sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1)), 0.63/0.83 inference('demod', [status(thm)], ['4', '54'])). 0.63/0.83 tff('56', plain, 0.63/0.83 ![X9, X10, X11, X13, X14]: 0.63/0.83 ( zip_tseitin_3(X13, X10, X14, X9, X11) 0.63/0.83 | zip_tseitin_2(X13, X10, X14, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_8])). 0.63/0.83 tff('57', plain, 0.63/0.83 ![X9, X10, X11, X13, X14]: 0.63/0.83 (X14 = X13 | ~ zip_tseitin_2(X13, X10, X14, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_10])). 0.63/0.83 tff('58', plain, 0.63/0.83 ![X0, X1, X2, X3, X4]: ( zip_tseitin_3(X4, X3, X2, X1, X0) | X2 = X4), 0.63/0.83 inference('sup-', [status(thm)], ['56', '57'])). 0.63/0.83 tff('59', plain, 0.63/0.83 ![X0]: 0.63/0.83 (~ zip_tseitin_3(sk_E_1(sk_B_1, sk_A_1), sk_D(sk_B_1, sk_A_1), 0.63/0.83 sk_C(sk_B_1, sk_A_1), sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1)), 0.63/0.83 inference('demod', [status(thm)], ['2', '3'])). 0.63/0.83 tff('60', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['58', '59'])). 0.63/0.83 tff('61', plain, 0.63/0.83 ![X0, X1]: 0.63/0.83 ( in(sk_D_1(X0), X0) 0.63/0.83 | ~ zip_tseitin_6(sk_D_1(X0), X1, sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(X0), X1)), 0.63/0.83 inference('sup-', [status(thm)], ['22', '23'])). 0.63/0.83 tff('62', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(X0), sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | in(sk_D_1(X0), X0)), 0.63/0.83 inference('sup-', [status(thm)], ['60', '61'])). 0.63/0.83 tff('63', plain, 0.63/0.83 ( in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('eq_fact', [status(thm)], ['62'])). 0.63/0.83 tff('64', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['58', '59'])). 0.63/0.83 tff('65', plain, 0.63/0.83 ![X9, X11, X16, X19]: 0.63/0.83 (~ in(X16, X19) 0.63/0.83 | zip_tseitin_5(sk_E(X16, X9, X11), X16, X9, X11) 0.63/0.83 | ~ zip_tseitin_6(X16, X19, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_2])). 0.63/0.83 tff('66', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_5(sk_E(X0, sk_B_1, sk_A_1), X0, sk_B_1, sk_A_1) 0.63/0.83 | ~ in(X0, sk_C_1(sk_B_1, sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['64', '65'])). 0.63/0.83 tff('67', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['63', '66'])). 0.63/0.83 tff('68', plain, 0.63/0.83 ( zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['67'])). 0.63/0.83 tff('69', plain, 0.63/0.83 ![X9, X11, X16, X17]: 0.63/0.83 ( zip_tseitin_4(sk_H(X16, X9, X11), X16, X9, X11) 0.63/0.83 | ~ zip_tseitin_5(X17, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('70', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_4(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['68', '69'])). 0.63/0.83 tff('71', plain, 0.63/0.83 ![X9, X11, X15, X16]: 0.63/0.83 (X16 = set_difference(X15, singleton(X11)) 0.63/0.83 | ~ zip_tseitin_4(X15, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_6])). 0.63/0.83 tff('72', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 = set_difference( 0.63/0.83 sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 singleton(sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['70', '71'])). 0.63/0.83 tff('73', plain, 0.63/0.83 ( in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('eq_fact', [status(thm)], ['62'])). 0.63/0.83 tff('74', plain, 0.63/0.83 ( zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['67'])). 0.63/0.83 tff('75', plain, 0.63/0.83 ![X9, X11, X16, X17]: (X17 = X16 | ~ zip_tseitin_5(X17, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('76', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 = sk_D_1(sk_C_1(sk_B_1, sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['74', '75'])). 0.63/0.83 tff('77', plain, 0.63/0.83 ( zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['67'])). 0.63/0.83 tff('78', plain, 0.63/0.83 ![X9, X11, X16, X17]: 0.63/0.83 ( in(X17, powerset(X11)) | ~ zip_tseitin_5(X17, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('79', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | in(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 powerset(sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['77', '78'])). 0.63/0.83 tff('80', plain, 0.63/0.83 ( in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), powerset(sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('sup+', [status(thm)], ['76', '79'])). 0.63/0.83 tff('81', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), powerset(sk_A_1))), 0.63/0.83 inference('simplify', [status(thm)], ['80'])). 0.63/0.83 tff('82', plain, 0.63/0.83 ![X24, X25]: 0.63/0.83 (~ in(sk_D_1(X24), X24) 0.63/0.83 | ~ in(sk_D_1(X24), powerset(sk_A_1)) 0.63/0.83 | ~ in(X25, sk_B_1) 0.63/0.83 | set_difference(X25, singleton(sk_A_1)) != sk_D_1(X24)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_0])). 0.63/0.83 tff('83', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | set_difference(X0, singleton(sk_A_1)) 0.63/0.83 != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | ~ in(X0, sk_B_1) 0.63/0.83 | ~ in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_C_1(sk_B_1, sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['81', '82'])). 0.63/0.83 tff('84', plain, 0.63/0.83 ![X0]: 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | ~ in(X0, sk_B_1) 0.63/0.83 | set_difference(X0, singleton(sk_A_1)) 0.63/0.83 != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['73', '83'])). 0.63/0.83 tff('85', plain, 0.63/0.83 ![X0]: 0.63/0.83 (set_difference(X0, singleton(sk_A_1)) 0.63/0.83 != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | ~ in(X0, sk_B_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['84'])). 0.63/0.83 tff('86', plain, 0.63/0.83 (sk_D_1(sk_C_1(sk_B_1, sk_A_1)) != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | ~ in(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), sk_B_1)), 0.63/0.83 inference('sup-', [status(thm)], ['72', '85'])). 0.63/0.83 tff('87', plain, 0.63/0.83 (~ in(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), sk_B_1) 0.63/0.83 | sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('simplify', [status(thm)], ['86'])). 0.63/0.83 tff('88', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | zip_tseitin_4(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['68', '69'])). 0.63/0.83 tff('89', plain, 0.63/0.83 ![X9, X11, X15, X16]: ( in(X15, X9) | ~ zip_tseitin_4(X15, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_6])). 0.63/0.83 tff('90', plain, 0.63/0.83 (sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1) 0.63/0.83 | in(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), sk_B_1)), 0.63/0.83 inference('sup-', [status(thm)], ['88', '89'])). 0.63/0.83 tff('91', plain, sk_C(sk_B_1, sk_A_1) = sk_E_1(sk_B_1, sk_A_1), 0.63/0.83 inference('clc', [status(thm)], ['87', '90'])). 0.63/0.83 tff('92', plain, 0.63/0.83 ![X9, X10, X11, X13, X14]: 0.63/0.83 ( zip_tseitin_3(X13, X10, X14, X9, X11) | X13 != X10), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_8])). 0.63/0.83 tff('93', plain, 0.63/0.83 ![X9, X10, X11, X14]: zip_tseitin_3(X10, X10, X14, X9, X11), 0.63/0.83 inference('simplify', [status(thm)], ['92'])). 0.63/0.83 tff('94', plain, 0.63/0.83 ![X0]: zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1), 0.63/0.83 inference('demod', [status(thm)], ['55', '91', '93'])). 0.63/0.83 tff('95', plain, 0.63/0.83 ![X0, X1]: 0.63/0.83 ( in(sk_D_1(X0), X0) 0.63/0.83 | ~ zip_tseitin_6(sk_D_1(X0), X1, sk_B_1, sk_A_1) 0.63/0.83 | in(sk_D_1(X0), X1)), 0.63/0.83 inference('sup-', [status(thm)], ['22', '23'])). 0.63/0.83 tff('96', plain, 0.63/0.83 ![X0]: ( in(sk_D_1(X0), sk_C_1(sk_B_1, sk_A_1)) | in(sk_D_1(X0), X0)), 0.63/0.83 inference('sup-', [status(thm)], ['94', '95'])). 0.63/0.83 tff('97', plain, in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_C_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('eq_fact', [status(thm)], ['96'])). 0.63/0.83 tff('98', plain, 0.63/0.83 ![X0]: zip_tseitin_6(X0, sk_C_1(sk_B_1, sk_A_1), sk_B_1, sk_A_1), 0.63/0.83 inference('demod', [status(thm)], ['55', '91', '93'])). 0.63/0.83 tff('99', plain, 0.63/0.83 ![X9, X11, X16, X19]: 0.63/0.83 (~ in(X16, X19) 0.63/0.83 | zip_tseitin_5(sk_E(X16, X9, X11), X16, X9, X11) 0.63/0.83 | ~ zip_tseitin_6(X16, X19, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_2])). 0.63/0.83 tff('100', plain, 0.63/0.83 ![X0]: 0.63/0.83 ( zip_tseitin_5(sk_E(X0, sk_B_1, sk_A_1), X0, sk_B_1, sk_A_1) 0.63/0.83 | ~ in(X0, sk_C_1(sk_B_1, sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['98', '99'])). 0.63/0.83 tff('101', plain, 0.63/0.83 zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 inference('sup-', [status(thm)], ['97', '100'])). 0.63/0.83 tff('102', plain, 0.63/0.83 zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 inference('sup-', [status(thm)], ['97', '100'])). 0.63/0.83 tff('103', plain, 0.63/0.83 ![X9, X11, X16, X17]: (X17 = X16 | ~ zip_tseitin_5(X17, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('104', plain, 0.63/0.83 sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 = sk_D_1(sk_C_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['102', '103'])). 0.63/0.83 tff('105', plain, 0.63/0.83 zip_tseitin_5(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 inference('demod', [status(thm)], ['101', '104'])). 0.63/0.83 tff('106', plain, 0.63/0.83 ![X9, X11, X16, X17]: 0.63/0.83 ( zip_tseitin_4(sk_H(X16, X9, X11), X16, X9, X11) 0.63/0.83 | ~ zip_tseitin_5(X17, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('107', plain, 0.63/0.83 zip_tseitin_4(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 inference('sup-', [status(thm)], ['105', '106'])). 0.63/0.83 tff('108', plain, 0.63/0.83 ![X9, X11, X15, X16]: 0.63/0.83 (X16 = set_difference(X15, singleton(X11)) 0.63/0.83 | ~ zip_tseitin_4(X15, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_6])). 0.63/0.83 tff('109', plain, 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 = set_difference(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 singleton(sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['107', '108'])). 0.63/0.83 tff('110', plain, 0.63/0.83 zip_tseitin_5(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 inference('sup-', [status(thm)], ['97', '100'])). 0.63/0.83 tff('111', plain, 0.63/0.83 ![X9, X11, X16, X17]: 0.63/0.83 ( in(X17, powerset(X11)) | ~ zip_tseitin_5(X17, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_4])). 0.63/0.83 tff('112', plain, 0.63/0.83 in(sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 powerset(sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['110', '111'])). 0.63/0.83 tff('113', plain, 0.63/0.83 sk_E(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1) 0.63/0.83 = sk_D_1(sk_C_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('sup-', [status(thm)], ['102', '103'])). 0.63/0.83 tff('114', plain, in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), powerset(sk_A_1)), 0.63/0.83 inference('demod', [status(thm)], ['112', '113'])). 0.63/0.83 tff('115', plain, 0.63/0.83 ![X24, X25]: 0.63/0.83 (~ in(sk_D_1(X24), X24) 0.63/0.83 | ~ in(sk_D_1(X24), powerset(sk_A_1)) 0.63/0.83 | ~ in(X25, sk_B_1) 0.63/0.83 | set_difference(X25, singleton(sk_A_1)) != sk_D_1(X24)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_0])). 0.63/0.83 tff('116', plain, 0.63/0.83 ![X0]: 0.63/0.83 (set_difference(X0, singleton(sk_A_1)) 0.63/0.83 != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | ~ in(X0, sk_B_1) 0.63/0.83 | ~ in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_C_1(sk_B_1, sk_A_1))), 0.63/0.83 inference('sup-', [status(thm)], ['114', '115'])). 0.63/0.83 tff('117', plain, 0.63/0.83 in(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_C_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('eq_fact', [status(thm)], ['96'])). 0.63/0.83 tff('118', plain, 0.63/0.83 ![X0]: 0.63/0.83 (set_difference(X0, singleton(sk_A_1)) 0.63/0.83 != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | ~ in(X0, sk_B_1)), 0.63/0.83 inference('demod', [status(thm)], ['116', '117'])). 0.63/0.83 tff('119', plain, 0.63/0.83 (sk_D_1(sk_C_1(sk_B_1, sk_A_1)) != sk_D_1(sk_C_1(sk_B_1, sk_A_1)) 0.63/0.83 | ~ in(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), sk_B_1)), 0.63/0.83 inference('sup-', [status(thm)], ['109', '118'])). 0.63/0.83 tff('120', plain, 0.63/0.83 zip_tseitin_4(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), 0.63/0.83 inference('sup-', [status(thm)], ['105', '106'])). 0.63/0.83 tff('121', plain, 0.63/0.83 ![X9, X11, X15, X16]: ( in(X15, X9) | ~ zip_tseitin_4(X15, X16, X9, X11)), 0.63/0.83 inference('cnf', [status(esa)], [zf_stmt_6])). 0.63/0.83 tff('122', plain, 0.63/0.83 in(sk_H(sk_D_1(sk_C_1(sk_B_1, sk_A_1)), sk_B_1, sk_A_1), sk_B_1), 0.63/0.83 inference('sup-', [status(thm)], ['120', '121'])). 0.63/0.83 tff('123', plain, 0.63/0.83 sk_D_1(sk_C_1(sk_B_1, sk_A_1)) != sk_D_1(sk_C_1(sk_B_1, sk_A_1)), 0.63/0.83 inference('demod', [status(thm)], ['119', '122'])). 0.63/0.83 tff('124', plain, $false, inference('simplify', [status(thm)], ['123'])). 0.63/0.83 0.63/0.83 % SZS output end Refutation 0.63/0.83 0.63/0.84 % Zipperpin 1.5 exiting 0.63/0.84 EOF