%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT123+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dSHBi9OHmg true
% Computer : n023.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 04:50:50 PM UTC 2025
% Result : Theorem 26.11s 4.38s
% Output : Refutation 26.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT123+1 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dSHBi9OHmg true
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:12:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.57/0.66 % Total configuration time : 435
% 0.57/0.66 % Estimated wc time : 1092
% 0.57/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 26.11/4.38 % Solved by fo/fo4.sh.
% 26.11/4.38 % done 2671 iterations in 3.509s
% 26.11/4.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.11/4.38 % SZS output start Refutation
% 26.11/4.38 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 26.11/4.38 thf(c_FuncSet_OPi_type, type, c_FuncSet_OPi: $i > $i > $i > $i > $i).
% 26.11/4.38 thf(hBOOL_type, type, hBOOL: $i > $o).
% 26.11/4.38 thf(tc_HOL_Obool_type, type, tc_HOL_Obool: $i).
% 26.11/4.38 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 26.11/4.38 thf(c_member_type, type, c_member: $i > $i).
% 26.11/4.38 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 26.11/4.38 thf(sk__2_type, type, sk__2: $i > $i > $i > $i > $i > $i).
% 26.11/4.38 thf(c_Arrow__Order__Mirabelle_OProf_type, type, c_Arrow__Order__Mirabelle_OProf:
% 26.11/4.38 $i).
% 26.11/4.38 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 26.11/4.38 thf(tc_Arrow__Order__Mirabelle_Oindi_type, type, tc_Arrow__Order__Mirabelle_Oindi:
% 26.11/4.38 $i).
% 26.11/4.38 thf(c_Orderings_Otop__class_Otop_type, type, c_Orderings_Otop__class_Otop:
% 26.11/4.38 $i > $i).
% 26.11/4.38 thf(v_L_type, type, v_L: $i).
% 26.11/4.38 thf(sk__type, type, sk_: $i > $i > $i).
% 26.11/4.38 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 26.11/4.38 thf(c_Arrow__Order__Mirabelle_OLin_type, type, c_Arrow__Order__Mirabelle_OLin:
% 26.11/4.38 $i).
% 26.11/4.38 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 26.11/4.38 $i).
% 26.11/4.38 thf(c_COMBK_type, type, c_COMBK: $i > $i > $i > $i).
% 26.11/4.38 thf(fact_equalityCE, axiom,
% 26.11/4.38 (![V_c_2:$i,T_a:$i,V_B_2:$i,V_A_2:$i]:
% 26.11/4.38 ( ( ( V_A_2 ) = ( V_B_2 ) ) =>
% 26.11/4.38 ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_A_2 ) ) =>
% 26.11/4.38 ( ~( hBOOL @
% 26.11/4.38 ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_B_2 ) ) ) ) =>
% 26.11/4.38 ( ~( ( ~( hBOOL @
% 26.11/4.38 ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_A_2 ) ) ) =>
% 26.11/4.38 ( hBOOL @
% 26.11/4.38 ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_B_2 ) ) ) ) ) ))).
% 26.11/4.38 thf(zf_stmt_0, axiom,
% 26.11/4.38 (![V_A_2:$i,V_B_2:$i,T_a:$i,V_c_2:$i]:
% 26.11/4.38 ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_A_2 ) ) =>
% 26.11/4.38 ( ~( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_B_2 ) ) ) ) =>
% 26.11/4.38 ( zip_tseitin_0 @ V_A_2 @ V_B_2 @ T_a @ V_c_2 ) ))).
% 26.11/4.38 thf(zip_derived_cl1, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 26.11/4.38 | (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X3) @ X1)))),
% 26.11/4.38 inference('cnf', [status(esa)], [zf_stmt_0])).
% 26.11/4.38 thf(fact_mem__def, axiom,
% 26.11/4.38 (![V_A_2:$i,V_x_2:$i,T_a:$i]:
% 26.11/4.38 ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_x_2 ) @ V_A_2 ) ) <=>
% 26.11/4.38 ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ))).
% 26.11/4.38 thf(zip_derived_cl7, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.11/4.38 ( (hBOOL @ (hAPP @ X0 @ X1))
% 26.11/4.38 | ~ (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X1) @ X0)))),
% 26.11/4.38 inference('cnf', [status(esa)], [fact_mem__def])).
% 26.11/4.38 thf(zip_derived_cl39, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ( (zip_tseitin_0 @ X3 @ X0 @ X2 @ X1) | (hBOOL @ (hAPP @ X0 @ X1)))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 26.11/4.38 thf(help_c__COMBK__1, axiom,
% 26.11/4.38 (![V_Q:$i,V_P:$i,T_b:$i,T_a:$i]:
% 26.11/4.38 ( ( hAPP @ ( c_COMBK @ T_a @ T_b @ V_P ) @ V_Q ) = ( V_P ) ))).
% 26.11/4.38 thf(zip_derived_cl31, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ((hAPP @ (c_COMBK @ X1 @ X2 @ X0) @ X3) = (X0))),
% 26.11/4.38 inference('cnf', [status(esa)], [help_c__COMBK__1])).
% 26.11/4.38 thf(zip_derived_cl31, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ((hAPP @ (c_COMBK @ X1 @ X2 @ X0) @ X3) = (X0))),
% 26.11/4.38 inference('cnf', [status(esa)], [help_c__COMBK__1])).
% 26.11/4.38 thf(fact_ext, axiom,
% 26.11/4.38 (![V_g_2:$i,V_f_2:$i]:
% 26.11/4.38 ( ( ![B_x:$i]: ( ( hAPP @ V_f_2 @ B_x ) = ( hAPP @ V_g_2 @ B_x ) ) ) =>
% 26.11/4.38 ( ( V_f_2 ) = ( V_g_2 ) ) ))).
% 26.11/4.38 thf(zip_derived_cl0, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i]:
% 26.11/4.38 (((X1) = (X0))
% 26.11/4.38 | ((hAPP @ X1 @ (sk_ @ X1 @ X0)) != (hAPP @ X0 @ (sk_ @ X1 @ X0))))),
% 26.11/4.38 inference('cnf', [status(esa)], [fact_ext])).
% 26.11/4.38 thf(zip_derived_cl36, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 (((hAPP @ X3 @ (sk_ @ X3 @ (c_COMBK @ X2 @ X1 @ X0))) != (X0))
% 26.11/4.38 | ((X3) = (c_COMBK @ X2 @ X1 @ X0)))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 26.11/4.38 thf(zip_derived_cl44, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 26.11/4.38 (((X0) != (X1))
% 26.11/4.38 | ((c_COMBK @ X5 @ X4 @ X0) = (c_COMBK @ X3 @ X2 @ X1)))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl36])).
% 26.11/4.38 thf(zip_derived_cl70, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.11/4.38 ((c_COMBK @ X2 @ X1 @ X0) = (c_COMBK @ X4 @ X3 @ X0))),
% 26.11/4.38 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 26.11/4.38 thf(zip_derived_cl8, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.11/4.38 ( (hBOOL @ (hAPP @ (hAPP @ (c_member @ X0) @ X1) @ X2))
% 26.11/4.38 | ~ (hBOOL @ (hAPP @ X2 @ X1)))),
% 26.11/4.38 inference('cnf', [status(esa)], [fact_mem__def])).
% 26.11/4.38 thf(conj_1, conjecture,
% 26.11/4.38 (hBOOL @
% 26.11/4.38 ( hAPP @
% 26.11/4.38 ( hAPP @
% 26.11/4.38 ( c_member @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 ( tc_prod @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt ) @
% 26.11/4.38 tc_HOL_Obool ) ) ) @
% 26.11/4.38 ( c_COMBK @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 ( tc_prod @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt ) @
% 26.11/4.38 tc_HOL_Obool ) @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @ v_L ) ) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OProf ))).
% 26.11/4.38 thf(zf_stmt_1, negated_conjecture,
% 26.11/4.38 (~( hBOOL @
% 26.11/4.38 ( hAPP @
% 26.11/4.38 ( hAPP @
% 26.11/4.38 ( c_member @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 ( tc_prod @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt ) @
% 26.11/4.38 tc_HOL_Obool ) ) ) @
% 26.11/4.38 ( c_COMBK @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 ( tc_prod @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt ) @
% 26.11/4.38 tc_HOL_Obool ) @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @ v_L ) ) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OProf ) )),
% 26.11/4.38 inference('cnf.neg', [status(esa)], [conj_1])).
% 26.11/4.38 thf(zip_derived_cl33, plain,
% 26.11/4.38 (~ (hBOOL @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (c_member @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool))) @
% 26.11/4.38 (c_COMBK @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @ v_L)) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OProf))),
% 26.11/4.38 inference('cnf', [status(esa)], [zf_stmt_1])).
% 26.11/4.38 thf(zip_derived_cl43, plain,
% 26.11/4.38 (~ (hBOOL @
% 26.11/4.38 (hAPP @ c_Arrow__Order__Mirabelle_OProf @
% 26.11/4.38 (c_COMBK @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @ v_L)))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl33])).
% 26.11/4.38 thf(zip_derived_cl92, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i]:
% 26.11/4.38 ~ (hBOOL @
% 26.11/4.38 (hAPP @ c_Arrow__Order__Mirabelle_OProf @ (c_COMBK @ X1 @ X0 @ v_L)))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl43])).
% 26.11/4.38 thf(zip_derived_cl109, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 (zip_tseitin_0 @ X3 @ c_Arrow__Order__Mirabelle_OProf @ X2 @
% 26.11/4.38 (c_COMBK @ X1 @ X0 @ v_L))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl92])).
% 26.11/4.38 thf(zip_derived_cl31, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ((hAPP @ (c_COMBK @ X1 @ X2 @ X0) @ X3) = (X0))),
% 26.11/4.38 inference('cnf', [status(esa)], [help_c__COMBK__1])).
% 26.11/4.38 thf(zip_derived_cl70, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.11/4.38 ((c_COMBK @ X2 @ X1 @ X0) = (c_COMBK @ X4 @ X3 @ X0))),
% 26.11/4.38 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 26.11/4.38 thf(fact_Prof__def, axiom,
% 26.11/4.38 (( c_Arrow__Order__Mirabelle_OProf ) =
% 26.11/4.38 ( c_FuncSet_OPi @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 ( tc_prod @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 26.11/4.38 tc_HOL_Obool ) @
% 26.11/4.38 ( c_Orderings_Otop__class_Otop @
% 26.11/4.38 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool ) ) @
% 26.11/4.38 ( c_COMBK @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 ( tc_prod @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt ) @
% 26.11/4.38 tc_HOL_Obool ) @
% 26.11/4.38 tc_HOL_Obool ) @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @ c_Arrow__Order__Mirabelle_OLin ) ))).
% 26.11/4.38 thf(zip_derived_cl21, plain,
% 26.11/4.38 (((c_Arrow__Order__Mirabelle_OProf)
% 26.11/4.38 = (c_FuncSet_OPi @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 (c_Orderings_Otop__class_Otop @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool)) @
% 26.11/4.38 (c_COMBK @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @ c_Arrow__Order__Mirabelle_OLin)))),
% 26.11/4.38 inference('cnf', [status(esa)], [fact_Prof__def])).
% 26.11/4.38 thf(zip_derived_cl90, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i]:
% 26.11/4.38 ((c_Arrow__Order__Mirabelle_OProf)
% 26.11/4.38 = (c_FuncSet_OPi @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 (c_Orderings_Otop__class_Otop @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool)) @
% 26.11/4.38 (c_COMBK @ X1 @ X0 @ c_Arrow__Order__Mirabelle_OLin)))),
% 26.11/4.38 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl21])).
% 26.11/4.38 thf(fact_funcsetI, axiom,
% 26.11/4.38 (![V_B_2:$i,V_f_2:$i,T_b:$i,V_A_2:$i,T_a:$i]:
% 26.11/4.38 ( ( ![B_x:$i]:
% 26.11/4.38 ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ B_x ) @ V_A_2 ) ) =>
% 26.11/4.38 ( hBOOL @
% 26.11/4.38 ( hAPP @
% 26.11/4.38 ( hAPP @ ( c_member @ T_b ) @ ( hAPP @ V_f_2 @ B_x ) ) @ V_B_2 ) ) ) ) =>
% 26.11/4.38 ( hBOOL @
% 26.11/4.38 ( hAPP @
% 26.11/4.38 ( hAPP @ ( c_member @ ( tc_fun @ T_a @ T_b ) ) @ V_f_2 ) @
% 26.11/4.38 ( c_FuncSet_OPi @
% 26.11/4.38 T_a @ T_b @ V_A_2 @
% 26.11/4.38 ( c_COMBK @ ( tc_fun @ T_b @ tc_HOL_Obool ) @ T_a @ V_B_2 ) ) ) ) ))).
% 26.11/4.38 thf(zip_derived_cl22, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.11/4.38 ( (hBOOL @
% 26.11/4.38 (hAPP @ (hAPP @ (c_member @ (tc_fun @ X0 @ X1)) @ X2) @
% 26.11/4.38 (c_FuncSet_OPi @ X0 @ X1 @ X3 @
% 26.11/4.38 (c_COMBK @ (tc_fun @ X1 @ tc_HOL_Obool) @ X0 @ X4))))
% 26.11/4.38 | ~ (hBOOL @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (hAPP @ (c_member @ X1) @
% 26.11/4.38 (hAPP @ X2 @ (sk__2 @ X0 @ X3 @ X1 @ X2 @ X4))) @
% 26.11/4.38 X4)))),
% 26.11/4.38 inference('cnf', [status(esa)], [fact_funcsetI])).
% 26.11/4.38 thf(zf_stmt_2, axiom,
% 26.11/4.38 (![V_A_2:$i,V_B_2:$i,T_a:$i,V_c_2:$i]:
% 26.11/4.38 ( ( ( ~( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_A_2 ) ) ) =>
% 26.11/4.38 ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_a ) @ V_c_2 ) @ V_B_2 ) ) ) =>
% 26.11/4.38 ( zip_tseitin_1 @ V_A_2 @ V_B_2 @ T_a @ V_c_2 ) ))).
% 26.11/4.38 thf(zip_derived_cl3, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 26.11/4.38 | ~ (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X3) @ X1)))),
% 26.11/4.38 inference('cnf', [status(esa)], [zf_stmt_2])).
% 26.11/4.38 thf(zf_stmt_3, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 26.11/4.38 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 26.11/4.38 thf(zf_stmt_5, axiom,
% 26.11/4.38 (![V_c_2:$i,T_a:$i,V_B_2:$i,V_A_2:$i]:
% 26.11/4.38 ( ( ( V_A_2 ) = ( V_B_2 ) ) =>
% 26.11/4.38 ( ( zip_tseitin_0 @ V_A_2 @ V_B_2 @ T_a @ V_c_2 ) =>
% 26.11/4.38 ( ~( zip_tseitin_1 @ V_A_2 @ V_B_2 @ T_a @ V_c_2 ) ) ) ))).
% 26.11/4.38 thf(zip_derived_cl5, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 26.11/4.38 | ~ (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 26.11/4.38 | ((X0) != (X1)))),
% 26.11/4.38 inference('cnf', [status(esa)], [zf_stmt_5])).
% 26.11/4.38 thf(zip_derived_cl34, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.11/4.38 (~ (zip_tseitin_1 @ X2 @ X2 @ X1 @ X0)
% 26.11/4.38 | ~ (zip_tseitin_0 @ X2 @ X2 @ X1 @ X0))),
% 26.11/4.38 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 26.11/4.38 thf(zip_derived_cl126, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.11/4.38 (~ (hBOOL @ (hAPP @ (hAPP @ (c_member @ X1) @ X0) @ X2))
% 26.11/4.38 | ~ (zip_tseitin_0 @ X2 @ X2 @ X1 @ X0))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl34])).
% 26.11/4.38 thf(zip_derived_cl763, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.11/4.38 (~ (hBOOL @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (hAPP @ (c_member @ X2) @
% 26.11/4.38 (hAPP @ X4 @ (sk__2 @ X1 @ X3 @ X2 @ X4 @ X0))) @
% 26.11/4.38 X0))
% 26.11/4.38 | ~ (zip_tseitin_0 @
% 26.11/4.38 (c_FuncSet_OPi @ X1 @ X2 @ X3 @
% 26.11/4.38 (c_COMBK @ (tc_fun @ X2 @ tc_HOL_Obool) @ X1 @ X0)) @
% 26.11/4.38 (c_FuncSet_OPi @ X1 @ X2 @ X3 @
% 26.11/4.38 (c_COMBK @ (tc_fun @ X2 @ tc_HOL_Obool) @ X1 @ X0)) @
% 26.11/4.38 (tc_fun @ X1 @ X2) @ X4))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl126])).
% 26.11/4.38 thf(zip_derived_cl70, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.11/4.38 ((c_COMBK @ X2 @ X1 @ X0) = (c_COMBK @ X4 @ X3 @ X0))),
% 26.11/4.38 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 26.11/4.38 thf(zip_derived_cl70, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.11/4.38 ((c_COMBK @ X2 @ X1 @ X0) = (c_COMBK @ X4 @ X3 @ X0))),
% 26.11/4.38 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 26.11/4.38 thf(zip_derived_cl822, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.11/4.38 (~ (hBOOL @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (hAPP @ (c_member @ X2) @
% 26.11/4.38 (hAPP @ X4 @ (sk__2 @ X1 @ X3 @ X2 @ X4 @ X0))) @
% 26.11/4.38 X0))
% 26.11/4.38 | ~ (zip_tseitin_0 @
% 26.11/4.38 (c_FuncSet_OPi @ X1 @ X2 @ X3 @ (c_COMBK @ X2 @ X1 @ X0)) @
% 26.11/4.38 (c_FuncSet_OPi @ X1 @ X2 @ X3 @ (c_COMBK @ X2 @ X1 @ X0)) @
% 26.11/4.38 (tc_fun @ X1 @ X2) @ X4))),
% 26.11/4.38 inference('demod', [status(thm)],
% 26.11/4.38 [zip_derived_cl763, zip_derived_cl70, zip_derived_cl70])).
% 26.11/4.38 thf(zip_derived_cl12482, plain,
% 26.11/4.38 (![X0 : $i]:
% 26.11/4.38 (~ (zip_tseitin_0 @
% 26.11/4.38 (c_FuncSet_OPi @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 (c_Orderings_Otop__class_Otop @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool)) @
% 26.11/4.38 (c_COMBK @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OLin)) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OProf @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool)) @
% 26.11/4.38 X0)
% 26.11/4.38 | ~ (hBOOL @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (c_member @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool)) @
% 26.11/4.38 (hAPP @ X0 @
% 26.11/4.38 (sk__2 @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (c_Orderings_Otop__class_Otop @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool)) @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 X0 @ c_Arrow__Order__Mirabelle_OLin))) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OLin)))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl822])).
% 26.11/4.38 thf(zip_derived_cl90, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i]:
% 26.11/4.38 ((c_Arrow__Order__Mirabelle_OProf)
% 26.11/4.38 = (c_FuncSet_OPi @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 (c_Orderings_Otop__class_Otop @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool)) @
% 26.11/4.38 (c_COMBK @ X1 @ X0 @ c_Arrow__Order__Mirabelle_OLin)))),
% 26.11/4.38 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl21])).
% 26.11/4.38 thf(zip_derived_cl12501, plain,
% 26.11/4.38 (![X0 : $i]:
% 26.11/4.38 (~ (zip_tseitin_0 @ c_Arrow__Order__Mirabelle_OProf @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OProf @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool)) @
% 26.11/4.38 X0)
% 26.11/4.38 | ~ (hBOOL @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (c_member @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool)) @
% 26.11/4.38 (hAPP @ X0 @
% 26.11/4.38 (sk__2 @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (c_Orderings_Otop__class_Otop @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_HOL_Obool)) @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool) @
% 26.11/4.38 X0 @ c_Arrow__Order__Mirabelle_OLin))) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OLin)))),
% 26.11/4.38 inference('demod', [status(thm)], [zip_derived_cl12482, zip_derived_cl90])).
% 26.11/4.38 thf(zip_derived_cl12580, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.11/4.38 (~ (hBOOL @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (c_member @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool)) @
% 26.11/4.38 X0) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OLin))
% 26.11/4.38 | ~ (zip_tseitin_0 @ c_Arrow__Order__Mirabelle_OProf @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OProf @
% 26.11/4.38 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool)) @
% 26.11/4.38 (c_COMBK @ X2 @ X1 @ X0)))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl12501])).
% 26.11/4.38 thf(zip_derived_cl12601, plain,
% 26.11/4.38 (~ (hBOOL @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (c_member @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool)) @
% 26.11/4.38 v_L) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OLin))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl12580])).
% 26.11/4.38 thf(zip_derived_cl1, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 26.11/4.38 | (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X3) @ X1)))),
% 26.11/4.38 inference('cnf', [status(esa)], [zf_stmt_0])).
% 26.11/4.38 thf(zip_derived_cl3, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 26.11/4.38 | ~ (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X3) @ X1)))),
% 26.11/4.38 inference('cnf', [status(esa)], [zf_stmt_2])).
% 26.11/4.38 thf(zip_derived_cl8, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.11/4.38 ( (hBOOL @ (hAPP @ (hAPP @ (c_member @ X0) @ X1) @ X2))
% 26.11/4.38 | ~ (hBOOL @ (hAPP @ X2 @ X1)))),
% 26.11/4.38 inference('cnf', [status(esa)], [fact_mem__def])).
% 26.11/4.38 thf(zip_derived_cl130, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ( (zip_tseitin_1 @ X3 @ X0 @ X2 @ X1) | ~ (hBOOL @ (hAPP @ X0 @ X1)))),
% 26.11/4.38 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 26.11/4.38 thf(zip_derived_cl39, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ( (zip_tseitin_0 @ X3 @ X0 @ X2 @ X1) | (hBOOL @ (hAPP @ X0 @ X1)))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 26.11/4.38 thf(zip_derived_cl152, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 26.11/4.38 ( (zip_tseitin_1 @ X5 @ X1 @ X4 @ X0)
% 26.11/4.38 | (zip_tseitin_0 @ X3 @ X1 @ X2 @ X0))),
% 26.11/4.38 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl39])).
% 26.11/4.38 thf(zip_derived_cl34, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.11/4.38 (~ (zip_tseitin_1 @ X2 @ X2 @ X1 @ X0)
% 26.11/4.38 | ~ (zip_tseitin_0 @ X2 @ X2 @ X1 @ X0))),
% 26.11/4.38 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 26.11/4.38 thf(zip_derived_cl3056, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.11/4.38 ( (zip_tseitin_0 @ X4 @ X2 @ X3 @ X0)
% 26.11/4.38 | ~ (zip_tseitin_0 @ X2 @ X2 @ X1 @ X0))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl34])).
% 26.11/4.38 thf(zip_derived_cl3091, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.11/4.38 ( (hBOOL @ (hAPP @ (hAPP @ (c_member @ X1) @ X0) @ X2))
% 26.11/4.38 | (zip_tseitin_0 @ X4 @ X2 @ X3 @ X0))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3056])).
% 26.11/4.38 thf(zip_derived_cl130, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.11/4.38 ( (zip_tseitin_1 @ X3 @ X0 @ X2 @ X1) | ~ (hBOOL @ (hAPP @ X0 @ X1)))),
% 26.11/4.38 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 26.11/4.38 thf(conj_0, axiom,
% 26.11/4.38 (hBOOL @
% 26.11/4.38 ( hAPP @
% 26.11/4.38 ( hAPP @
% 26.11/4.38 ( c_member @
% 26.11/4.38 ( tc_fun @
% 26.11/4.38 ( tc_prod @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt ) @
% 26.11/4.38 tc_HOL_Obool ) ) @
% 26.11/4.38 v_L ) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OLin ))).
% 26.11/4.38 thf(zip_derived_cl32, plain,
% 26.11/4.38 ( (hBOOL @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (hAPP @
% 26.11/4.38 (c_member @
% 26.11/4.38 (tc_fun @
% 26.11/4.38 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 26.11/4.38 tc_Arrow__Order__Mirabelle_Oalt) @
% 26.11/4.38 tc_HOL_Obool)) @
% 26.11/4.38 v_L) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OLin))),
% 26.11/4.38 inference('cnf', [status(esa)], [conj_0])).
% 26.11/4.38 thf(zip_derived_cl7, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.11/4.38 ( (hBOOL @ (hAPP @ X0 @ X1))
% 26.11/4.38 | ~ (hBOOL @ (hAPP @ (hAPP @ (c_member @ X2) @ X1) @ X0)))),
% 26.11/4.38 inference('cnf', [status(esa)], [fact_mem__def])).
% 26.11/4.38 thf(zip_derived_cl41, plain,
% 26.11/4.38 ( (hBOOL @ (hAPP @ c_Arrow__Order__Mirabelle_OLin @ v_L))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl7])).
% 26.11/4.38 thf(zip_derived_cl158, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i]:
% 26.11/4.38 (zip_tseitin_1 @ X1 @ c_Arrow__Order__Mirabelle_OLin @ X0 @ v_L)),
% 26.11/4.38 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl41])).
% 26.11/4.38 thf(zip_derived_cl34, plain,
% 26.11/4.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.11/4.38 (~ (zip_tseitin_1 @ X2 @ X2 @ X1 @ X0)
% 26.11/4.38 | ~ (zip_tseitin_0 @ X2 @ X2 @ X1 @ X0))),
% 26.11/4.38 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 26.11/4.38 thf(zip_derived_cl196, plain,
% 26.11/4.38 (![X0 : $i]:
% 26.11/4.38 ~ (zip_tseitin_0 @ c_Arrow__Order__Mirabelle_OLin @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OLin @ X0 @ v_L)),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl34])).
% 26.11/4.38 thf(zip_derived_cl4842, plain,
% 26.11/4.38 (![X1 : $i]:
% 26.11/4.38 (hBOOL @
% 26.11/4.38 (hAPP @ (hAPP @ (c_member @ X1) @ v_L) @
% 26.11/4.38 c_Arrow__Order__Mirabelle_OLin))),
% 26.11/4.38 inference('sup-', [status(thm)], [zip_derived_cl3091, zip_derived_cl196])).
% 26.11/4.38 thf(zip_derived_cl12610, plain, ($false),
% 26.11/4.38 inference('demod', [status(thm)],
% 26.11/4.38 [zip_derived_cl12601, zip_derived_cl4842])).
% 26.11/4.38
% 26.11/4.38 % SZS output end Refutation
% 26.11/4.38
% 26.11/4.38
% 26.11/4.38 % Terminating...
% 26.90/4.49 % Runner terminated.
% 26.90/4.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------