TSTP Solution File: LCL837-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL837-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NJHzF5uJjM true
% Computer : n013.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 Aug 31 09:02:19 EDT 2023
% Result : Unsatisfiable 9.04s 1.92s
% Output : Refutation 9.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL837-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NJHzF5uJjM true
% 0.17/0.34 % Computer : n013.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 24 17:05:32 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.34 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.04/1.92 % Solved by fo/fo6_bce.sh.
% 9.04/1.92 % BCE start: 657
% 9.04/1.92 % BCE eliminated: 60
% 9.04/1.92 % PE start: 597
% 9.04/1.92 logic: eq
% 9.04/1.92 % PE eliminated: 28
% 9.04/1.92 % done 858 iterations in 1.203s
% 9.04/1.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.04/1.92 % SZS output start Refutation
% 9.04/1.92 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 9.04/1.92 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i).
% 9.04/1.92 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 9.04/1.92 thf(c_InductTermi_OIT_type, type, c_InductTermi_OIT: $i).
% 9.04/1.92 thf(v_a_____type, type, v_a____: $i).
% 9.04/1.92 thf(hBOOL_type, type, hBOOL: $i > $o).
% 9.04/1.92 thf(v_as_____type, type, v_as____: $i).
% 9.04/1.92 thf(c_List_Omap_type, type, c_List_Omap: $i > $i > $i > $i > $i).
% 9.04/1.92 thf(tc_Lambda_OdB_type, type, tc_Lambda_OdB: $i).
% 9.04/1.92 thf(c_Lambda_Olift_type, type, c_Lambda_Olift: $i).
% 9.04/1.92 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 9.04/1.92 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 9.04/1.92 thf(c_Suc_type, type, c_Suc: $i > $i).
% 9.04/1.92 thf(v_i_____type, type, v_i____: $i).
% 9.04/1.92 thf(c_COMBC_type, type, c_COMBC: $i > $i > $i > $i > $i > $i).
% 9.04/1.92 thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i).
% 9.04/1.92 thf(c_List_Ofoldl_type, type, c_List_Ofoldl: $i > $i > $i > $i > $i > $i).
% 9.04/1.92 thf(c_Lambda_OdB_OApp_type, type, c_Lambda_OdB_OApp: $i).
% 9.04/1.92 thf(tc_nat_type, type, tc_nat: $i).
% 9.04/1.92 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 9.04/1.92 thf(v_r_____type, type, v_r____: $i).
% 9.04/1.92 thf(v_u_____type, type, v_u____: $i).
% 9.04/1.92 thf(cls_subst__subst_0, axiom,
% 9.04/1.92 (( ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 c_Lambda_Osubst @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ c_Lambda_Osubst @ V_t ) @
% 9.04/1.92 ( hAPP @ ( hAPP @ c_Lambda_Olift @ V_v ) @ V_i ) ) @
% 9.04/1.92 ( c_Suc @ V_j ) ) ) @
% 9.04/1.92 ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ V_u ) @ V_v ) @ V_j ) ) @
% 9.04/1.92 V_i ) =
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 c_Lambda_Osubst @
% 9.04/1.92 ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ V_t ) @ V_u ) @ V_i ) ) @
% 9.04/1.92 V_v ) @
% 9.04/1.92 V_j ) ) |
% 9.04/1.92 ( ~( c_HOL_Oord__class_Oless @
% 9.04/1.92 V_i @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ ( c_HOL_Oplus__class_Oplus @ tc_nat ) @ V_j ) @
% 9.04/1.92 ( c_HOL_Oone__class_Oone @ tc_nat ) ) @
% 9.04/1.92 tc_nat ) ))).
% 9.04/1.92 thf(zip_derived_cl520, plain,
% 9.04/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.04/1.92 (((hAPP @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ c_Lambda_Osubst @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ (hAPP @ c_Lambda_Osubst @ X0) @
% 9.04/1.92 (hAPP @ (hAPP @ c_Lambda_Olift @ X3) @ X2)) @
% 9.04/1.92 (c_Suc @ X4))) @
% 9.04/1.92 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ X1) @ X3) @ X4)) @
% 9.04/1.92 X2)
% 9.04/1.92 = (hAPP @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ c_Lambda_Osubst @
% 9.04/1.92 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ X0) @ X1) @ X2)) @
% 9.04/1.92 X3) @
% 9.04/1.92 X4))
% 9.04/1.92 | ~ (c_HOL_Oord__class_Oless @ X2 @
% 9.04/1.92 (hAPP @ (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_nat) @ X4) @
% 9.04/1.92 (c_HOL_Oone__class_Oone @ tc_nat)) @
% 9.04/1.92 tc_nat))),
% 9.04/1.92 inference('cnf', [status(esa)], [cls_subst__subst_0])).
% 9.04/1.92 thf(cls_One__nat__def_0, axiom,
% 9.04/1.92 (( c_HOL_Oone__class_Oone @ tc_nat ) =
% 9.04/1.92 ( c_Suc @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ))).
% 9.04/1.92 thf(zip_derived_cl551, plain,
% 9.04/1.92 (((c_HOL_Oone__class_Oone @ tc_nat)
% 9.04/1.92 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 9.04/1.92 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 9.04/1.92 thf(cls_Suc__eq__plus1_0, axiom,
% 9.04/1.92 (( c_Suc @ V_n ) =
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ ( c_HOL_Oplus__class_Oplus @ tc_nat ) @ V_n ) @
% 9.04/1.92 ( c_HOL_Oone__class_Oone @ tc_nat ) ))).
% 9.04/1.92 thf(zip_derived_cl60, plain,
% 9.04/1.92 (![X0 : $i]:
% 9.04/1.92 ((c_Suc @ X0)
% 9.04/1.92 = (hAPP @ (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_nat) @ X0) @
% 9.04/1.92 (c_HOL_Oone__class_Oone @ tc_nat)))),
% 9.04/1.92 inference('cnf', [status(esa)], [cls_Suc__eq__plus1_0])).
% 9.04/1.92 thf(zip_derived_cl551, plain,
% 9.04/1.92 (((c_HOL_Oone__class_Oone @ tc_nat)
% 9.04/1.92 = (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 9.04/1.92 inference('cnf', [status(esa)], [cls_One__nat__def_0])).
% 9.04/1.92 thf(zip_derived_cl2937, plain,
% 9.04/1.92 (![X0 : $i]:
% 9.04/1.92 ((c_Suc @ X0)
% 9.04/1.92 = (hAPP @ (hAPP @ (c_HOL_Oplus__class_Oplus @ tc_nat) @ X0) @
% 9.04/1.92 (c_Suc @ (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 9.04/1.92 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl551])).
% 9.04/1.92 thf(zip_derived_cl6885, plain,
% 9.04/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.04/1.92 (((hAPP @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ c_Lambda_Osubst @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ (hAPP @ c_Lambda_Osubst @ X0) @
% 9.04/1.92 (hAPP @ (hAPP @ c_Lambda_Olift @ X3) @ X2)) @
% 9.04/1.92 (c_Suc @ X4))) @
% 9.04/1.92 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ X1) @ X3) @ X4)) @
% 9.04/1.92 X2)
% 9.04/1.92 = (hAPP @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ c_Lambda_Osubst @
% 9.04/1.92 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ X0) @ X1) @ X2)) @
% 9.04/1.92 X3) @
% 9.04/1.92 X4))
% 9.04/1.92 | ~ (c_HOL_Oord__class_Oless @ X2 @ (c_Suc @ X4) @ tc_nat))),
% 9.04/1.92 inference('demod', [status(thm)],
% 9.04/1.92 [zip_derived_cl520, zip_derived_cl551, zip_derived_cl2937])).
% 9.04/1.92 thf(cls_conjecture_0, conjecture,
% 9.04/1.92 (hBOOL @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 c_InductTermi_OIT @
% 9.04/1.92 ( c_List_Ofoldl @
% 9.04/1.92 c_Lambda_OdB_OApp @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 c_Lambda_Osubst @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ c_Lambda_Osubst @ v_r____ ) @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ c_Lambda_Olift @ v_u____ ) @
% 9.04/1.92 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ) @
% 9.04/1.92 ( c_Suc @ v_i____ ) ) ) @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_a____ ) @ v_u____ ) @
% 9.04/1.92 v_i____ ) ) @
% 9.04/1.92 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 9.04/1.92 ( c_List_Omap @
% 9.04/1.92 ( c_COMBC @
% 9.04/1.92 ( c_COMBC @
% 9.04/1.92 c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @ tc_Lambda_OdB @
% 9.04/1.92 ( tc_fun @ tc_nat @ tc_Lambda_OdB ) ) @
% 9.04/1.92 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB ) @
% 9.04/1.92 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) @
% 9.04/1.92 tc_Lambda_OdB @ tc_Lambda_OdB ) ))).
% 9.04/1.92 thf(zf_stmt_0, negated_conjecture,
% 9.04/1.92 (~( hBOOL @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 c_InductTermi_OIT @
% 9.04/1.92 ( c_List_Ofoldl @
% 9.04/1.92 c_Lambda_OdB_OApp @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 c_Lambda_Osubst @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ c_Lambda_Osubst @ v_r____ ) @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ c_Lambda_Olift @ v_u____ ) @
% 9.04/1.92 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ) @
% 9.04/1.92 ( c_Suc @ v_i____ ) ) ) @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_a____ ) @ v_u____ ) @
% 9.04/1.92 v_i____ ) ) @
% 9.04/1.92 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 9.04/1.92 ( c_List_Omap @
% 9.04/1.92 ( c_COMBC @
% 9.04/1.92 ( c_COMBC @
% 9.04/1.92 c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @ tc_Lambda_OdB @
% 9.04/1.92 ( tc_fun @ tc_nat @ tc_Lambda_OdB ) ) @
% 9.04/1.92 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB ) @
% 9.04/1.92 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) @
% 9.04/1.92 tc_Lambda_OdB @ tc_Lambda_OdB ) ) )),
% 9.04/1.92 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 9.04/1.92 thf(zip_derived_cl620, plain,
% 9.04/1.92 (~ (hBOOL @
% 9.04/1.92 (hAPP @ c_InductTermi_OIT @
% 9.04/1.92 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ c_Lambda_Osubst @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @
% 9.04/1.92 (hAPP @ (hAPP @ c_Lambda_Olift @ v_u____) @
% 9.04/1.92 (c_HOL_Ozero__class_Ozero @ tc_nat))) @
% 9.04/1.92 (c_Suc @ v_i____))) @
% 9.04/1.92 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_a____) @ v_u____) @
% 9.04/1.92 v_i____)) @
% 9.04/1.92 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 9.04/1.92 (c_List_Omap @
% 9.04/1.92 (c_COMBC @
% 9.04/1.92 (c_COMBC @ c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @
% 9.04/1.92 tc_Lambda_OdB @ (tc_fun @ tc_nat @ tc_Lambda_OdB)) @
% 9.04/1.92 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.04/1.92 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.04/1.92 tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 9.04/1.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.04/1.92 thf(zip_derived_cl6896, plain,
% 9.04/1.92 ((~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 9.04/1.92 (c_Suc @ v_i____) @ tc_nat)
% 9.04/1.92 | ~ (hBOOL @
% 9.04/1.92 (hAPP @ c_InductTermi_OIT @
% 9.04/1.92 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ c_Lambda_Osubst @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @
% 9.04/1.92 (c_HOL_Ozero__class_Ozero @ tc_nat))) @
% 9.04/1.92 v_u____) @
% 9.04/1.92 v_i____) @
% 9.04/1.92 (c_List_Omap @
% 9.04/1.92 (c_COMBC @
% 9.04/1.92 (c_COMBC @ c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @
% 9.04/1.92 tc_Lambda_OdB @ (tc_fun @ tc_nat @ tc_Lambda_OdB)) @
% 9.04/1.92 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.04/1.92 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.04/1.92 tc_Lambda_OdB @ tc_Lambda_OdB))))),
% 9.04/1.92 inference('s_sup-', [status(thm)],
% 9.04/1.92 [zip_derived_cl6885, zip_derived_cl620])).
% 9.04/1.92 thf(cls_zero__less__Suc_0, axiom,
% 9.04/1.92 (c_HOL_Oord__class_Oless @
% 9.04/1.92 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ ( c_Suc @ V_n ) @ tc_nat)).
% 9.04/1.92 thf(zip_derived_cl569, plain,
% 9.04/1.92 (![X0 : $i]:
% 9.04/1.92 (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 9.04/1.92 (c_Suc @ X0) @ tc_nat)),
% 9.04/1.92 inference('cnf', [status(esa)], [cls_zero__less__Suc_0])).
% 9.04/1.92 thf(zip_derived_cl6924, plain,
% 9.04/1.92 (~ (hBOOL @
% 9.04/1.92 (hAPP @ c_InductTermi_OIT @
% 9.04/1.92 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ c_Lambda_Osubst @
% 9.04/1.92 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @
% 9.04/1.92 (c_HOL_Ozero__class_Ozero @ tc_nat))) @
% 9.04/1.92 v_u____) @
% 9.04/1.92 v_i____) @
% 9.04/1.92 (c_List_Omap @
% 9.04/1.92 (c_COMBC @
% 9.04/1.92 (c_COMBC @ c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @
% 9.04/1.92 tc_Lambda_OdB @ (tc_fun @ tc_nat @ tc_Lambda_OdB)) @
% 9.04/1.92 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.04/1.92 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.04/1.92 tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 9.04/1.92 inference('demod', [status(thm)], [zip_derived_cl6896, zip_derived_cl569])).
% 9.04/1.92 thf(cls_subst__map_0, axiom,
% 9.04/1.92 (( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 c_Lambda_Osubst @
% 9.04/1.92 ( c_List_Ofoldl @
% 9.04/1.92 c_Lambda_OdB_OApp @ V_t @ V_ts @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 9.04/1.92 V_u ) @
% 9.04/1.92 V_i ) =
% 9.04/1.92 ( c_List_Ofoldl @
% 9.04/1.92 c_Lambda_OdB_OApp @
% 9.04/1.92 ( hAPP @ ( hAPP @ ( hAPP @ c_Lambda_Osubst @ V_t ) @ V_u ) @ V_i ) @
% 9.04/1.92 ( c_List_Omap @
% 9.04/1.92 ( c_COMBC @
% 9.04/1.92 ( c_COMBC @
% 9.04/1.92 c_Lambda_Osubst @ V_u @ tc_Lambda_OdB @ tc_Lambda_OdB @
% 9.04/1.92 ( tc_fun @ tc_nat @ tc_Lambda_OdB ) ) @
% 9.04/1.92 V_i @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB ) @
% 9.04/1.92 V_ts @ tc_Lambda_OdB @ tc_Lambda_OdB ) @
% 9.04/1.92 tc_Lambda_OdB @ tc_Lambda_OdB ))).
% 9.04/1.92 thf(zip_derived_cl612, plain,
% 9.04/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.04/1.92 ((hAPP @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ c_Lambda_Osubst @
% 9.04/1.92 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X0 @ X3 @ tc_Lambda_OdB @
% 9.04/1.92 tc_Lambda_OdB)) @
% 9.04/1.92 X1) @
% 9.04/1.92 X2)
% 9.04/1.92 = (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 9.04/1.92 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ X0) @ X1) @ X2) @
% 9.04/1.92 (c_List_Omap @
% 9.04/1.92 (c_COMBC @
% 9.04/1.92 (c_COMBC @ c_Lambda_Osubst @ X1 @ tc_Lambda_OdB @
% 9.04/1.92 tc_Lambda_OdB @ (tc_fun @ tc_nat @ tc_Lambda_OdB)) @
% 9.04/1.92 X2 @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.04/1.92 X3 @ tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.04/1.92 tc_Lambda_OdB @ tc_Lambda_OdB))),
% 9.04/1.92 inference('cnf', [status(esa)], [cls_subst__map_0])).
% 9.04/1.92 thf(cls_CHAINED_0, axiom,
% 9.04/1.92 (hBOOL @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 c_InductTermi_OIT @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 c_Lambda_Osubst @
% 9.04/1.92 ( c_List_Ofoldl @
% 9.04/1.92 c_Lambda_OdB_OApp @
% 9.04/1.92 ( hAPP @
% 9.04/1.92 ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r____ ) @ v_a____ ) @
% 9.04/1.92 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 9.04/1.92 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 9.04/1.92 v_u____ ) @
% 9.04/1.92 v_i____ ) ))).
% 9.04/1.92 thf(zip_derived_cl619, plain,
% 9.04/1.92 ( (hBOOL @
% 9.04/1.92 (hAPP @ c_InductTermi_OIT @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @
% 9.04/1.92 (hAPP @ c_Lambda_Osubst @
% 9.04/1.92 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 9.04/1.92 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @
% 9.04/1.92 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 9.04/1.92 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 9.04/1.92 v_u____) @
% 9.04/1.92 v_i____)))),
% 9.04/1.92 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 9.04/1.92 thf(zip_derived_cl7548, plain, ($false),
% 9.04/1.92 inference('demod', [status(thm)],
% 9.04/1.92 [zip_derived_cl6924, zip_derived_cl612, zip_derived_cl619])).
% 9.04/1.92
% 9.04/1.92 % SZS output end Refutation
% 9.04/1.92
% 9.04/1.92
% 9.04/1.92 % Terminating...
% 9.73/1.98 % Runner terminated.
% 9.73/2.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------