%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW338+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QFdGyxorCy true
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:02:38 PM UTC 2025
% Result : Theorem 85.71s 18.53s
% Output : Refutation 85.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW338+1 : TPTP v9.2.0. Released v5.2.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QFdGyxorCy true
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 12:04:23 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 85.71/18.53 % Solved by fo/fo4.sh.
% 85.71/18.53 % done 5029 iterations in 17.561s
% 85.71/18.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 85.71/18.53 % SZS output start Refutation
% 85.71/18.53 thf(v_G_H_type, type, v_G_H: $i).
% 85.71/18.53 thf(sk__15_type, type, sk__15: $i).
% 85.71/18.53 thf(sk__12_type, type, sk__12: $i > $i).
% 85.71/18.53 thf(sk__14_type, type, sk__14: $i).
% 85.71/18.53 thf(tc_Hoare__Mirabelle_Otriple_type, type, tc_Hoare__Mirabelle_Otriple:
% 85.71/18.53 $i > $i).
% 85.71/18.53 thf(v_G_type, type, v_G: $i).
% 85.71/18.53 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 85.71/18.53 thf(t_a_type, type, t_a: $i).
% 85.71/18.53 thf(c_Hoare__Mirabelle_Otriple__valid_type, type, c_Hoare__Mirabelle_Otriple__valid:
% 85.71/18.53 $i > $i > $i > $o).
% 85.71/18.53 thf(v_ts_type, type, v_ts: $i).
% 85.71/18.53 thf(sk__13_type, type, sk__13: $i > $i).
% 85.71/18.53 thf(hBOOL_type, type, hBOOL: $i > $o).
% 85.71/18.53 thf(c_member_type, type, c_member: $i > $i).
% 85.71/18.53 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 85.71/18.53 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 85.71/18.53 thf(conj_4, conjecture,
% 85.71/18.53 (![B_n:$i]:
% 85.71/18.53 ( ( ![B_x:$i]:
% 85.71/18.53 ( ( hBOOL @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @
% 85.71/18.53 v_G ) ) =>
% 85.71/18.53 ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) =>
% 85.71/18.53 ( ![B_x:$i]:
% 85.71/18.53 ( ( hBOOL @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @
% 85.71/18.53 v_ts ) ) =>
% 85.71/18.53 ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ))).
% 85.71/18.53 thf(zf_stmt_0, negated_conjecture,
% 85.71/18.53 (~( ![B_n:$i]:
% 85.71/18.53 ( ( ![B_x:$i]:
% 85.71/18.53 ( ( hBOOL @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @
% 85.71/18.53 v_G ) ) =>
% 85.71/18.53 ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) =>
% 85.71/18.53 ( ![B_x:$i]:
% 85.71/18.53 ( ( hBOOL @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @
% 85.71/18.53 v_ts ) ) =>
% 85.71/18.53 ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ) )),
% 85.71/18.53 inference('cnf.neg', [status(esa)], [conj_4])).
% 85.71/18.53 thf(zip_derived_cl54, plain,
% 85.71/18.53 (~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15)),
% 85.71/18.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 85.71/18.53 thf(conj_1, axiom,
% 85.71/18.53 (![B_n:$i]:
% 85.71/18.53 ( ( ![B_x:$i]:
% 85.71/18.53 ( ( hBOOL @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @
% 85.71/18.53 v_G_H ) ) =>
% 85.71/18.53 ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) =>
% 85.71/18.53 ( ![B_x:$i]:
% 85.71/18.53 ( ( hBOOL @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @
% 85.71/18.53 v_ts ) ) =>
% 85.71/18.53 ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ))).
% 85.71/18.53 thf(zip_derived_cl49, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i]:
% 85.71/18.53 (~ (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @
% 85.71/18.53 v_ts))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0)
% 85.71/18.53 | ~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ (sk__12 @ X1)))),
% 85.71/18.53 inference('cnf', [status(esa)], [conj_1])).
% 85.71/18.53 thf(zip_derived_cl55, plain,
% 85.71/18.53 ( (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ sk__15) @
% 85.71/18.53 v_ts))),
% 85.71/18.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 85.71/18.53 thf(zip_derived_cl246, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 (~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ (sk__12 @ X0))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15))),
% 85.71/18.53 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl55])).
% 85.71/18.53 thf(fact_equalityCE, axiom,
% 85.71/18.53 (![V_c_2:$i,T_b:$i,V_B_2:$i,V_A_2:$i]:
% 85.71/18.53 ( ( ( V_A_2 ) = ( V_B_2 ) ) =>
% 85.71/18.53 ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) ) =>
% 85.71/18.53 ( ~( hBOOL @
% 85.71/18.53 ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) ) ) =>
% 85.71/18.53 ( ~( ( ~( hBOOL @
% 85.71/18.53 ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) ) ) =>
% 85.71/18.53 ( hBOOL @
% 85.71/18.53 ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) ) ) ) ))).
% 85.71/18.53 thf(zf_stmt_1, axiom,
% 85.71/18.53 (![V_A_2:$i,V_B_2:$i,T_b:$i,V_c_2:$i]:
% 85.71/18.53 ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) ) =>
% 85.71/18.53 ( ~( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) ) ) =>
% 85.71/18.53 ( zip_tseitin_3 @ V_A_2 @ V_B_2 @ T_b @ V_c_2 ) ))).
% 85.71/18.53 thf(zip_derived_cl23, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.71/18.53 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3)
% 85.71/18.53 | (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X3) @ X1)))),
% 85.71/18.53 inference('cnf', [status(esa)], [zf_stmt_1])).
% 85.71/18.53 thf(fact_mem__def, axiom,
% 85.71/18.53 (![V_A_2:$i,V_x_2:$i,T_b:$i]:
% 85.71/18.53 ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_A_2 ) ) <=>
% 85.71/18.53 ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ))).
% 85.71/18.53 thf(zip_derived_cl34, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.71/18.53 ( (hBOOL @ (hAPP @ X0 @ X1))
% 85.71/18.53 | ~ (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X1) @ X0)))),
% 85.71/18.53 inference('cnf', [status(esa)], [fact_mem__def])).
% 85.71/18.53 thf(zip_derived_cl672, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.71/18.53 ( (zip_tseitin_3 @ X3 @ X0 @ X2 @ X1) | (hBOOL @ (hAPP @ X0 @ X1)))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl34])).
% 85.71/18.53 thf(zip_derived_cl35, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.71/18.53 ( (hBOOL @ (hAPP @ (hAPP @ (c_member @ X0) @ X1) @ X2))
% 85.71/18.53 | ~ (hBOOL @ (hAPP @ X2 @ X1)))),
% 85.71/18.53 inference('cnf', [status(esa)], [fact_mem__def])).
% 85.71/18.53 thf(zip_derived_cl53, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 ( (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ X0)
% 85.71/18.53 | ~ (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @
% 85.71/18.53 v_G)))),
% 85.71/18.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 85.71/18.53 thf(zip_derived_cl68, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 (~ (hBOOL @ (hAPP @ v_G @ X0))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ X0))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl53])).
% 85.71/18.53 thf(zip_derived_cl908, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.71/18.53 ( (zip_tseitin_3 @ X2 @ v_G @ X1 @ X0)
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ X0))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl672, zip_derived_cl68])).
% 85.71/18.53 thf(conj_3, axiom,
% 85.71/18.53 (![B_n:$i]:
% 85.71/18.53 ( ( ![B_x:$i]:
% 85.71/18.53 ( ( hBOOL @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @
% 85.71/18.53 v_G ) ) =>
% 85.71/18.53 ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) =>
% 85.71/18.53 ( ![B_x:$i]:
% 85.71/18.53 ( ( hBOOL @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( hAPP @
% 85.71/18.53 ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @
% 85.71/18.53 v_G_H ) ) =>
% 85.71/18.53 ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ))).
% 85.71/18.53 thf(zip_derived_cl52, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i]:
% 85.71/18.53 (~ (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @
% 85.71/18.53 v_G_H))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0)
% 85.71/18.53 | ~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ (sk__13 @ X1)))),
% 85.71/18.53 inference('cnf', [status(esa)], [conj_3])).
% 85.71/18.53 thf(zip_derived_cl246, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 (~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ (sk__12 @ X0))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15))),
% 85.71/18.53 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl55])).
% 85.71/18.53 thf(zip_derived_cl305, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 (~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ (sk__13 @ X0))
% 85.71/18.53 | ~ (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @
% 85.71/18.53 (sk__12 @ X0)) @
% 85.71/18.53 v_G_H))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl246])).
% 85.71/18.53 thf(zip_derived_cl55, plain,
% 85.71/18.53 ( (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ sk__15) @
% 85.71/18.53 v_ts))),
% 85.71/18.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 85.71/18.53 thf(zip_derived_cl48, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i]:
% 85.71/18.53 (~ (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @
% 85.71/18.53 v_ts))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0)
% 85.71/18.53 | (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @
% 85.71/18.53 (sk__12 @ X1)) @
% 85.71/18.53 v_G_H)))),
% 85.71/18.53 inference('cnf', [status(esa)], [conj_1])).
% 85.71/18.53 thf(zip_derived_cl1365, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 ( (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @
% 85.71/18.53 (sk__12 @ X0)) @
% 85.71/18.53 v_G_H))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl48])).
% 85.71/18.53 thf(zip_derived_cl1443, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 ( (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15)
% 85.71/18.53 | ~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ (sk__13 @ X0))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15))),
% 85.71/18.53 inference('sup+', [status(thm)], [zip_derived_cl305, zip_derived_cl1365])).
% 85.71/18.53 thf(zip_derived_cl1444, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 (~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ (sk__13 @ X0))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15))),
% 85.71/18.53 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 85.71/18.53 thf(zip_derived_cl1454, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i]:
% 85.71/18.53 ( (zip_tseitin_3 @ X1 @ v_G @ X0 @ (sk__13 @ sk__14))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl908, zip_derived_cl1444])).
% 85.71/18.53 thf(zip_derived_cl54, plain,
% 85.71/18.53 (~ (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15)),
% 85.71/18.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 85.71/18.53 thf(zip_derived_cl1459, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i]:
% 85.71/18.53 (zip_tseitin_3 @ X1 @ v_G @ X0 @ (sk__13 @ sk__14))),
% 85.71/18.53 inference('demod', [status(thm)], [zip_derived_cl1454, zip_derived_cl54])).
% 85.71/18.53 thf(zip_derived_cl1365, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 ( (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @
% 85.71/18.53 (sk__12 @ X0)) @
% 85.71/18.53 v_G_H))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl48])).
% 85.71/18.53 thf(zip_derived_cl34, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.71/18.53 ( (hBOOL @ (hAPP @ X0 @ X1))
% 85.71/18.53 | ~ (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X1) @ X0)))),
% 85.71/18.53 inference('cnf', [status(esa)], [fact_mem__def])).
% 85.71/18.53 thf(zip_derived_cl1430, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 ( (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15)
% 85.71/18.53 | (hBOOL @ (hAPP @ v_G_H @ (sk__12 @ X0))))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl1365, zip_derived_cl34])).
% 85.71/18.53 thf(zip_derived_cl35, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.71/18.53 ( (hBOOL @ (hAPP @ (hAPP @ (c_member @ X0) @ X1) @ X2))
% 85.71/18.53 | ~ (hBOOL @ (hAPP @ X2 @ X1)))),
% 85.71/18.53 inference('cnf', [status(esa)], [fact_mem__def])).
% 85.71/18.53 thf(zip_derived_cl51, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i]:
% 85.71/18.53 (~ (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @ X0) @
% 85.71/18.53 v_G_H))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0)
% 85.71/18.53 | (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @
% 85.71/18.53 (sk__13 @ X1)) @
% 85.71/18.53 v_G)))),
% 85.71/18.53 inference('cnf', [status(esa)], [conj_3])).
% 85.71/18.53 thf(zip_derived_cl1375, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i]:
% 85.71/18.53 (~ (hBOOL @ (hAPP @ v_G_H @ X0))
% 85.71/18.53 | (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @
% 85.71/18.53 (sk__13 @ X1)) @
% 85.71/18.53 v_G))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl51])).
% 85.71/18.53 thf(zip_derived_cl1537, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i]:
% 85.71/18.53 ( (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15)
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ (sk__12 @ X0))
% 85.71/18.53 | (hBOOL @
% 85.71/18.53 (hAPP @
% 85.71/18.53 (hAPP @ (c_member @ (tc_Hoare__Mirabelle_Otriple @ t_a)) @
% 85.71/18.53 (sk__13 @ X1)) @
% 85.71/18.53 v_G)))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl1430, zip_derived_cl1375])).
% 85.71/18.53 thf(zf_stmt_2, axiom,
% 85.71/18.53 (![V_A_2:$i,V_B_2:$i,T_b:$i,V_c_2:$i]:
% 85.71/18.53 ( ( ( ~( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) ) ) =>
% 85.71/18.53 ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) ) =>
% 85.71/18.53 ( zip_tseitin_4 @ V_A_2 @ V_B_2 @ T_b @ V_c_2 ) ))).
% 85.71/18.53 thf(zip_derived_cl25, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.71/18.53 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 85.71/18.53 | ~ (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X3) @ X1)))),
% 85.71/18.53 inference('cnf', [status(esa)], [zf_stmt_2])).
% 85.71/18.53 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 85.71/18.53 thf(zf_stmt_4, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 85.71/18.53 thf(zf_stmt_5, axiom,
% 85.71/18.53 (![V_c_2:$i,T_b:$i,V_B_2:$i,V_A_2:$i]:
% 85.71/18.53 ( ( ( V_A_2 ) = ( V_B_2 ) ) =>
% 85.71/18.53 ( ( zip_tseitin_3 @ V_A_2 @ V_B_2 @ T_b @ V_c_2 ) =>
% 85.71/18.53 ( ~( zip_tseitin_4 @ V_A_2 @ V_B_2 @ T_b @ V_c_2 ) ) ) ))).
% 85.71/18.53 thf(zip_derived_cl27, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.71/18.53 (~ (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3)
% 85.71/18.53 | ~ (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 85.71/18.53 | ((X0) != (X1)))),
% 85.71/18.53 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.71/18.53 thf(zip_derived_cl56, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.71/18.53 (~ (zip_tseitin_4 @ X2 @ X2 @ X1 @ X0)
% 85.71/18.53 | ~ (zip_tseitin_3 @ X2 @ X2 @ X1 @ X0))),
% 85.71/18.53 inference('eq_res', [status(thm)], [zip_derived_cl27])).
% 85.71/18.53 thf(zip_derived_cl110, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.71/18.53 (~ (hBOOL @ (hAPP @ (hAPP @ (c_member @ X1) @ X0) @ X2))
% 85.71/18.53 | ~ (zip_tseitin_3 @ X2 @ X2 @ X1 @ X0))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl56])).
% 85.71/18.53 thf(zip_derived_cl43442, plain,
% 85.71/18.53 (![X0 : $i, X1 : $i]:
% 85.71/18.53 ( (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ (sk__12 @ X1))
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ sk__15)
% 85.71/18.53 | ~ (zip_tseitin_3 @ v_G @ v_G @
% 85.71/18.53 (tc_Hoare__Mirabelle_Otriple @ t_a) @ (sk__13 @ X0)))),
% 85.71/18.53 inference('sup-', [status(thm)], [zip_derived_cl1537, zip_derived_cl110])).
% 85.71/18.53 thf(zip_derived_cl43760, plain,
% 85.71/18.53 (![X0 : $i]:
% 85.71/18.53 ( (c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15)
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ (sk__12 @ X0)))),
% 85.71/18.53 inference('sup-', [status(thm)],
% 85.71/18.53 [zip_derived_cl1459, zip_derived_cl43442])).
% 85.71/18.53 thf(zip_derived_cl43795, plain,
% 85.71/18.53 (( (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15)
% 85.71/18.53 | (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15))),
% 85.71/18.53 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl43760])).
% 85.71/18.53 thf(zip_derived_cl43796, plain,
% 85.71/18.53 ( (c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15)),
% 85.71/18.53 inference('simplify', [status(thm)], [zip_derived_cl43795])).
% 85.71/18.53 thf(zip_derived_cl43822, plain, ($false),
% 85.71/18.53 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl43796])).
% 85.71/18.53
% 85.71/18.53 % SZS output end Refutation
% 85.71/18.53
% 85.71/18.53
% 85.71/18.53 % Terminating...
% 86.07/18.69 % Runner terminated.
% 86.07/18.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------