%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL776-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EAmFCoS848 true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:15 PM UTC 2026
% Result : Unsatisfiable 33.45s 5.41s
% Output : Refutation 33.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL776-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EAmFCoS848 true
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 5 04:59:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.12.3
% 0.12/0.39 % Running in FO mode
% 0.45/0.67 % Total configuration time : 435
% 0.45/0.67 % Estimated wc time : 1092
% 0.45/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 33.45/5.41 % Solved by fo/fo6_bce.sh.
% 33.45/5.41 % BCE start: 871
% 33.45/5.41 % BCE eliminated: 146
% 33.45/5.41 % PE start: 725
% 33.45/5.41 logic: eq
% 33.45/5.41 % PE eliminated: -31
% 33.45/5.41 % done 2146 iterations in 4.640s
% 33.45/5.41 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.45/5.41 % SZS output start Refutation
% 33.45/5.41 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 33.45/5.41 thf(c_Lambda_OdB_OApp_type, type, c_Lambda_OdB_OApp: $i).
% 33.45/5.41 thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i > $i > $i > $i).
% 33.45/5.41 thf(v_r_type, type, v_r: $i).
% 33.45/5.41 thf(c_Lambda_OdB_OVar_type, type, c_Lambda_OdB_OVar: $i > $i).
% 33.45/5.41 thf(v_s_type, type, v_s: $i).
% 33.45/5.41 thf(c_List_Ofoldl_type, type, c_List_Ofoldl: $i > $i > $i > $i > $i > $i).
% 33.45/5.41 thf(c_InductTermi_OIT_type, type, c_InductTermi_OIT: $i).
% 33.45/5.41 thf(c_List_Olist_OCons_type, type, c_List_Olist_OCons: $i > $i > $i > $i).
% 33.45/5.41 thf(c_Lambda_OdB_OAbs_type, type, c_Lambda_OdB_OAbs: $i > $i).
% 33.45/5.41 thf(tc_Lambda_OdB_type, type, tc_Lambda_OdB: $i).
% 33.45/5.41 thf(tc_nat_type, type, tc_nat: $i).
% 33.45/5.41 thf(v_i_type, type, v_i: $i).
% 33.45/5.41 thf(c_List_Orotate1_type, type, c_List_Orotate1: $i > $i > $i).
% 33.45/5.41 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 33.45/5.41 thf(c_List_Olist_ONil_type, type, c_List_Olist_ONil: $i > $i).
% 33.45/5.41 thf(v_ss_type, type, v_ss: $i).
% 33.45/5.41 thf(c_List_Oappend_type, type, c_List_Oappend: $i > $i > $i > $i).
% 33.45/5.41 thf(hBOOL_type, type, hBOOL: $i > $o).
% 33.45/5.41 thf(cls_conjecture_4, conjecture,
% 33.45/5.41 (hBOOL @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 c_InductTermi_OIT @
% 33.45/5.41 ( c_List_Ofoldl @
% 33.45/5.41 c_Lambda_OdB_OApp @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 ( hAPP @ c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OAbs @ v_r ) ) @ v_s ) @
% 33.45/5.41 ( c_List_Oappend @
% 33.45/5.41 v_ss @
% 33.45/5.41 ( c_List_Olist_OCons @
% 33.45/5.41 ( c_Lambda_OdB_OVar @ v_i ) @
% 33.45/5.41 ( c_List_Olist_ONil @ tc_Lambda_OdB ) @ tc_Lambda_OdB ) @
% 33.45/5.41 tc_Lambda_OdB ) @
% 33.45/5.41 tc_Lambda_OdB @ tc_Lambda_OdB ) ))).
% 33.45/5.41 thf(zf_stmt_0, negated_conjecture,
% 33.45/5.41 (~( hBOOL @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 c_InductTermi_OIT @
% 33.45/5.41 ( c_List_Ofoldl @
% 33.45/5.41 c_Lambda_OdB_OApp @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 ( hAPP @ c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OAbs @ v_r ) ) @ v_s ) @
% 33.45/5.41 ( c_List_Oappend @
% 33.45/5.41 v_ss @
% 33.45/5.41 ( c_List_Olist_OCons @
% 33.45/5.41 ( c_Lambda_OdB_OVar @ v_i ) @
% 33.45/5.41 ( c_List_Olist_ONil @ tc_Lambda_OdB ) @ tc_Lambda_OdB ) @
% 33.45/5.41 tc_Lambda_OdB ) @
% 33.45/5.41 tc_Lambda_OdB @ tc_Lambda_OdB ) ) )),
% 33.45/5.41 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 33.45/5.41 thf(zip_derived_cl803, plain,
% 33.45/5.41 (~ (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ v_r)) @
% 33.45/5.41 v_s) @
% 33.45/5.41 (c_List_Oappend @ v_ss @
% 33.45/5.41 (c_List_Olist_OCons @ (c_Lambda_OdB_OVar @ v_i) @
% 33.45/5.41 (c_List_Olist_ONil @ tc_Lambda_OdB) @ tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 33.45/5.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 33.45/5.41 thf(cls_App__eq__foldl__conv_3, axiom,
% 33.45/5.41 (( ( c_List_Oappend @
% 33.45/5.41 V_x @
% 33.45/5.41 ( c_List_Olist_OCons @
% 33.45/5.41 V_s @ ( c_List_Olist_ONil @ tc_Lambda_OdB ) @ tc_Lambda_OdB ) @
% 33.45/5.41 tc_Lambda_OdB ) =
% 33.45/5.41 ( c_List_Olist_ONil @ tc_Lambda_OdB ) ) |
% 33.45/5.41 ( ( hAPP @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 c_Lambda_OdB_OApp @
% 33.45/5.41 ( c_List_Ofoldl @
% 33.45/5.41 c_Lambda_OdB_OApp @ V_t @ V_x @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 33.45/5.41 V_s ) =
% 33.45/5.41 ( c_List_Ofoldl @
% 33.45/5.41 c_Lambda_OdB_OApp @ V_t @
% 33.45/5.41 ( c_List_Oappend @
% 33.45/5.41 V_x @
% 33.45/5.41 ( c_List_Olist_OCons @
% 33.45/5.41 V_s @ ( c_List_Olist_ONil @ tc_Lambda_OdB ) @ tc_Lambda_OdB ) @
% 33.45/5.41 tc_Lambda_OdB ) @
% 33.45/5.41 tc_Lambda_OdB @ tc_Lambda_OdB ) ))).
% 33.45/5.41 thf(zip_derived_cl727, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 (((c_List_Oappend @ X0 @
% 33.45/5.41 (c_List_Olist_OCons @ X1 @ (c_List_Olist_ONil @ tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB) = (c_List_Olist_ONil @ tc_Lambda_OdB))
% 33.45/5.41 | ((hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @ X0 @ tc_Lambda_OdB @
% 33.45/5.41 tc_Lambda_OdB)) @
% 33.45/5.41 X1)
% 33.45/5.41 = (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @
% 33.45/5.41 (c_List_Oappend @ X0 @
% 33.45/5.41 (c_List_Olist_OCons @ X1 @
% 33.45/5.41 (c_List_Olist_ONil @ tc_Lambda_OdB) @ tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 33.45/5.41 inference('cnf', [status(esa)], [cls_App__eq__foldl__conv_3])).
% 33.45/5.41 thf(cls_rotate__simps_1, axiom,
% 33.45/5.41 (( c_List_Orotate1 @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b ) =
% 33.45/5.41 ( c_List_Oappend @
% 33.45/5.41 V_xs @
% 33.45/5.41 ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_b ) @ T_b ) @ T_b ))).
% 33.45/5.41 thf(zip_derived_cl715, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 ((c_List_Orotate1 @ (c_List_Olist_OCons @ X1 @ X0 @ X2) @ X2)
% 33.45/5.41 = (c_List_Oappend @ X0 @
% 33.45/5.41 (c_List_Olist_OCons @ X1 @ (c_List_Olist_ONil @ X2) @ X2) @ X2))),
% 33.45/5.41 inference('cnf', [status(esa)], [cls_rotate__simps_1])).
% 33.45/5.41 thf(cls_rotate1__is__Nil__conv_0, axiom,
% 33.45/5.41 (( ( c_List_Orotate1 @ V_xs @ T_a ) != ( c_List_Olist_ONil @ T_a ) ) |
% 33.45/5.41 ( ( V_xs ) = ( c_List_Olist_ONil @ T_a ) ))).
% 33.45/5.41 thf(zip_derived_cl654, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i]:
% 33.45/5.41 (((c_List_Orotate1 @ X1 @ X0) != (c_List_Olist_ONil @ X0))
% 33.45/5.41 | ((X1) = (c_List_Olist_ONil @ X0)))),
% 33.45/5.41 inference('cnf', [status(esa)], [cls_rotate1__is__Nil__conv_0])).
% 33.45/5.41 thf(zip_derived_cl11710, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 (((c_List_Oappend @ X2 @
% 33.45/5.41 (c_List_Olist_OCons @ X1 @ (c_List_Olist_ONil @ X0) @ X0) @ X0)
% 33.45/5.41 != (c_List_Olist_ONil @ X0))
% 33.45/5.41 | ((c_List_Olist_OCons @ X1 @ X2 @ X0) = (c_List_Olist_ONil @ X0)))),
% 33.45/5.41 inference('s_sup-', [status(thm)], [zip_derived_cl715, zip_derived_cl654])).
% 33.45/5.41 thf(cls_list_Osimps_I2_J_0, axiom,
% 33.45/5.41 (( c_List_Olist_ONil @ T_a ) !=
% 33.45/5.41 ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ))).
% 33.45/5.41 thf(zip_derived_cl750, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 ((c_List_Olist_ONil @ X2) != (c_List_Olist_OCons @ X0 @ X1 @ X2))),
% 33.45/5.41 inference('cnf', [status(esa)], [cls_list_Osimps_I2_J_0])).
% 33.45/5.41 thf(zip_derived_cl11729, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 ((c_List_Oappend @ X2 @
% 33.45/5.41 (c_List_Olist_OCons @ X1 @ (c_List_Olist_ONil @ X0) @ X0) @ X0)
% 33.45/5.41 != (c_List_Olist_ONil @ X0))),
% 33.45/5.41 inference('simplify_reflect-', [status(thm)],
% 33.45/5.41 [zip_derived_cl11710, zip_derived_cl750])).
% 33.45/5.41 thf(zip_derived_cl13394, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 ((hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @ X0 @ tc_Lambda_OdB @
% 33.45/5.41 tc_Lambda_OdB)) @
% 33.45/5.41 X1)
% 33.45/5.41 = (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @
% 33.45/5.41 (c_List_Oappend @ X0 @
% 33.45/5.41 (c_List_Olist_OCons @ X1 @
% 33.45/5.41 (c_List_Olist_ONil @ tc_Lambda_OdB) @ tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB @ tc_Lambda_OdB))),
% 33.45/5.41 inference('simplify_reflect-', [status(thm)],
% 33.45/5.41 [zip_derived_cl727, zip_derived_cl11729])).
% 33.45/5.41 thf(zip_derived_cl13395, plain,
% 33.45/5.41 (~ (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ v_r)) @
% 33.45/5.41 v_s) @
% 33.45/5.41 v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 33.45/5.41 (c_Lambda_OdB_OVar @ v_i))))),
% 33.45/5.41 inference('demod', [status(thm)],
% 33.45/5.41 [zip_derived_cl803, zip_derived_cl13394])).
% 33.45/5.41 thf(cls_conjecture_1, conjecture,
% 33.45/5.41 (~( hBOOL @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 c_InductTermi_OIT @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 c_Lambda_OdB_OApp @
% 33.45/5.41 ( c_List_Ofoldl @
% 33.45/5.41 c_Lambda_OdB_OApp @
% 33.45/5.41 ( c_Lambda_Osubst @
% 33.45/5.41 v_r @ v_s @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 33.45/5.41 v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 33.45/5.41 ( c_Lambda_OdB_OVar @ v_i ) ) ) ))).
% 33.45/5.41 thf(zf_stmt_1, negated_conjecture,
% 33.45/5.41 (hBOOL @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 c_InductTermi_OIT @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 c_Lambda_OdB_OApp @
% 33.45/5.41 ( c_List_Ofoldl @
% 33.45/5.41 c_Lambda_OdB_OApp @
% 33.45/5.41 ( c_Lambda_Osubst @
% 33.45/5.41 v_r @ v_s @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 33.45/5.41 v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 33.45/5.41 ( c_Lambda_OdB_OVar @ v_i ) ) )),
% 33.45/5.41 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 33.45/5.41 thf(zip_derived_cl800, plain,
% 33.45/5.41 ( (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_Lambda_Osubst @ v_r @ v_s @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 33.45/5.41 v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 33.45/5.41 (c_Lambda_OdB_OVar @ v_i))))),
% 33.45/5.41 inference('cnf', [status(esa)], [zf_stmt_1])).
% 33.45/5.41 thf(zip_derived_cl13394, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 ((hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @ X0 @ tc_Lambda_OdB @
% 33.45/5.41 tc_Lambda_OdB)) @
% 33.45/5.41 X1)
% 33.45/5.41 = (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @
% 33.45/5.41 (c_List_Oappend @ X0 @
% 33.45/5.41 (c_List_Olist_OCons @ X1 @
% 33.45/5.41 (c_List_Olist_ONil @ tc_Lambda_OdB) @ tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB @ tc_Lambda_OdB))),
% 33.45/5.41 inference('simplify_reflect-', [status(thm)],
% 33.45/5.41 [zip_derived_cl727, zip_derived_cl11729])).
% 33.45/5.41 thf(cls_conjecture_2, conjecture,
% 33.45/5.41 (~( hBOOL @ ( hAPP @ c_InductTermi_OIT @ v_s ) ))).
% 33.45/5.41 thf(zf_stmt_2, negated_conjecture,
% 33.45/5.41 (hBOOL @ ( hAPP @ c_InductTermi_OIT @ v_s )),
% 33.45/5.41 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 33.45/5.41 thf(zip_derived_cl801, plain, ( (hBOOL @ (hAPP @ c_InductTermi_OIT @ v_s))),
% 33.45/5.41 inference('cnf', [status(esa)], [zf_stmt_2])).
% 33.45/5.41 thf(cls_Beta_0, axiom,
% 33.45/5.41 (( hBOOL @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 c_InductTermi_OIT @
% 33.45/5.41 ( c_List_Ofoldl @
% 33.45/5.41 c_Lambda_OdB_OApp @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 ( hAPP @ c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OAbs @ V_r ) ) @ V_s ) @
% 33.45/5.41 V_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) ) |
% 33.45/5.41 ( ~( hBOOL @ ( hAPP @ c_InductTermi_OIT @ V_s ) ) ) |
% 33.45/5.41 ( ~( hBOOL @
% 33.45/5.41 ( hAPP @
% 33.45/5.41 c_InductTermi_OIT @
% 33.45/5.41 ( c_List_Ofoldl @
% 33.45/5.41 c_Lambda_OdB_OApp @
% 33.45/5.41 ( c_Lambda_Osubst @
% 33.45/5.41 V_r @ V_s @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 33.45/5.41 V_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) ) ))).
% 33.45/5.41 thf(zip_derived_cl767, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 ( (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ X0)) @
% 33.45/5.41 X1) @
% 33.45/5.41 X2 @ tc_Lambda_OdB @ tc_Lambda_OdB)))
% 33.45/5.41 | ~ (hBOOL @ (hAPP @ c_InductTermi_OIT @ X1))
% 33.45/5.41 | ~ (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_Lambda_Osubst @ X0 @ X1 @
% 33.45/5.41 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 33.45/5.41 X2 @ tc_Lambda_OdB @ tc_Lambda_OdB))))),
% 33.45/5.41 inference('cnf', [status(esa)], [cls_Beta_0])).
% 33.45/5.41 thf(zip_derived_cl13647, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i]:
% 33.45/5.41 ( (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ X1)) @
% 33.45/5.41 v_s) @
% 33.45/5.41 X0 @ tc_Lambda_OdB @ tc_Lambda_OdB)))
% 33.45/5.41 | ~ (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_Lambda_Osubst @ X1 @ v_s @
% 33.45/5.41 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 33.45/5.41 X0 @ tc_Lambda_OdB @ tc_Lambda_OdB))))),
% 33.45/5.41 inference('s_sup-', [status(thm)], [zip_derived_cl801, zip_derived_cl767])).
% 33.45/5.41 thf(zip_derived_cl20051, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 ( (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ X2)) @
% 33.45/5.41 v_s) @
% 33.45/5.41 (c_List_Oappend @ X1 @
% 33.45/5.41 (c_List_Olist_OCons @ X0 @
% 33.45/5.41 (c_List_Olist_ONil @ tc_Lambda_OdB) @ tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB @ tc_Lambda_OdB)))
% 33.45/5.41 | ~ (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_Lambda_Osubst @ X2 @ v_s @
% 33.45/5.41 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 33.45/5.41 X1 @ tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 33.45/5.41 X0))))),
% 33.45/5.41 inference('s_sup-', [status(thm)],
% 33.45/5.41 [zip_derived_cl13394, zip_derived_cl13647])).
% 33.45/5.41 thf(zip_derived_cl13394, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 ((hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @ X0 @ tc_Lambda_OdB @
% 33.45/5.41 tc_Lambda_OdB)) @
% 33.45/5.41 X1)
% 33.45/5.41 = (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @
% 33.45/5.41 (c_List_Oappend @ X0 @
% 33.45/5.41 (c_List_Olist_OCons @ X1 @
% 33.45/5.41 (c_List_Olist_ONil @ tc_Lambda_OdB) @ tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB) @
% 33.45/5.41 tc_Lambda_OdB @ tc_Lambda_OdB))),
% 33.45/5.41 inference('simplify_reflect-', [status(thm)],
% 33.45/5.41 [zip_derived_cl727, zip_derived_cl11729])).
% 33.45/5.41 thf(zip_derived_cl20059, plain,
% 33.45/5.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.45/5.41 ( (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ X2)) @ v_s) @
% 33.45/5.41 X1 @ tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 33.45/5.41 X0)))
% 33.45/5.41 | ~ (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_Lambda_Osubst @ X2 @ v_s @
% 33.45/5.41 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 33.45/5.41 X1 @ tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 33.45/5.41 X0))))),
% 33.45/5.41 inference('demod', [status(thm)],
% 33.45/5.41 [zip_derived_cl20051, zip_derived_cl13394])).
% 33.45/5.41 thf(zip_derived_cl20612, plain,
% 33.45/5.41 ( (hBOOL @
% 33.45/5.41 (hAPP @ c_InductTermi_OIT @
% 33.45/5.41 (hAPP @
% 33.45/5.41 (hAPP @ c_Lambda_OdB_OApp @
% 33.45/5.41 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 33.45/5.41 (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ v_r)) @
% 33.45/5.41 v_s) @
% 33.45/5.41 v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 33.45/5.41 (c_Lambda_OdB_OVar @ v_i))))),
% 33.45/5.41 inference('s_sup-', [status(thm)],
% 33.45/5.41 [zip_derived_cl800, zip_derived_cl20059])).
% 33.45/5.41 thf(zip_derived_cl20639, plain, ($false),
% 33.45/5.41 inference('demod', [status(thm)],
% 33.45/5.41 [zip_derived_cl13395, zip_derived_cl20612])).
% 33.45/5.41
% 33.45/5.41 % SZS output end Refutation
% 33.45/5.41
% 33.45/5.41
% 33.45/5.41 % Terminating...
% 33.45/5.46 % Runner terminated.
% 33.45/5.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------