%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL812-1 : 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.4g1IjRv2sk true
% Computer : n020.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 01:37:21 PM UTC 2026
% Result : Unsatisfiable 9.85s 2.12s
% Output : Refutation 9.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL812-1 : 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.4g1IjRv2sk true
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 23:24:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.12.3
% 0.10/0.38 % Running in FO mode
% 0.41/0.67 % Total configuration time : 435
% 0.41/0.67 % Estimated wc time : 1092
% 0.41/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.85/2.12 % Solved by fo/fo6_bce.sh.
% 9.85/2.12 % BCE start: 653
% 9.85/2.12 % BCE eliminated: 5
% 9.85/2.12 % PE start: 648
% 9.85/2.12 logic: eq
% 9.85/2.12 % PE eliminated: -34
% 9.85/2.12 % done 1035 iterations in 1.364s
% 9.85/2.12 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.85/2.12 % SZS output start Refutation
% 9.85/2.12 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 9.85/2.12 thf(v_i_____type, type, v_i____: $i).
% 9.85/2.12 thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i).
% 9.85/2.12 thf(c_Lambda_Olift_type, type, c_Lambda_Olift: $i).
% 9.85/2.12 thf(c_List_Ofoldl_type, type, c_List_Ofoldl: $i > $i > $i > $i > $i > $i).
% 9.85/2.12 thf(c_COMBC_type, type, c_COMBC: $i > $i > $i > $i > $i > $i).
% 9.85/2.12 thf(v_n_____type, type, v_n____: $i).
% 9.85/2.12 thf(hBOOL_type, type, hBOOL: $i > $o).
% 9.85/2.12 thf(tc_nat_type, type, tc_nat: $i).
% 9.85/2.12 thf(v_u_____type, type, v_u____: $i).
% 9.85/2.12 thf(c_Lambda_OdB_OVar_type, type, c_Lambda_OdB_OVar: $i > $i).
% 9.85/2.12 thf(c_InductTermi_OIT_type, type, c_InductTermi_OIT: $i).
% 9.85/2.12 thf(v_as_____type, type, v_as____: $i).
% 9.85/2.12 thf(tc_Lambda_OdB_type, type, tc_Lambda_OdB: $i).
% 9.85/2.12 thf(c_List_Omap_type, type, c_List_Omap: $i > $i > $i > $i > $i).
% 9.85/2.12 thf(c_List_Olistsp_type, type, c_List_Olistsp: $i > $i > $i > $o).
% 9.85/2.12 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 9.85/2.12 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 9.85/2.12 thf(c_Lambda_OdB_OApp_type, type, c_Lambda_OdB_OApp: $i).
% 9.85/2.12 thf(cls_IT_OVar_0, axiom,
% 9.85/2.12 (( hBOOL @
% 9.85/2.12 ( hAPP @
% 9.85/2.12 c_InductTermi_OIT @
% 9.85/2.12 ( c_List_Ofoldl @
% 9.85/2.12 c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OVar @ V_n ) @ V_rs @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB ) ) ) |
% 9.85/2.12 ( ~( c_List_Olistsp @ c_InductTermi_OIT @ V_rs @ tc_Lambda_OdB ) ))).
% 9.85/2.12 thf(zip_derived_cl562, plain,
% 9.85/2.12 (![X0 : $i, X1 : $i]:
% 9.85/2.12 ( (hBOOL @
% 9.85/2.12 (hAPP @ c_InductTermi_OIT @
% 9.85/2.12 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OVar @ X0) @
% 9.85/2.12 X1 @ tc_Lambda_OdB @ tc_Lambda_OdB)))
% 9.85/2.12 | ~ (c_List_Olistsp @ c_InductTermi_OIT @ X1 @ tc_Lambda_OdB))),
% 9.85/2.12 inference('cnf', [status(esa)], [cls_IT_OVar_0])).
% 9.85/2.12 thf(cls_conjecture_0, conjecture,
% 9.85/2.12 (hBOOL @
% 9.85/2.12 ( hAPP @
% 9.85/2.12 c_InductTermi_OIT @
% 9.85/2.12 ( c_List_Ofoldl @
% 9.85/2.12 c_Lambda_OdB_OApp @
% 9.85/2.12 ( c_Lambda_OdB_OVar @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 9.85/2.12 ( c_List_Omap @
% 9.85/2.12 ( c_COMBC @
% 9.85/2.12 c_Lambda_Olift @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 9.85/2.12 tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB ) @
% 9.85/2.12 ( c_List_Omap @
% 9.85/2.12 ( c_COMBC @
% 9.85/2.12 ( c_COMBC @
% 9.85/2.12 c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @ tc_Lambda_OdB @
% 9.85/2.12 ( tc_fun @ tc_nat @ tc_Lambda_OdB ) ) @
% 9.85/2.12 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB ) @
% 9.85/2.12 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB ) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB ) ))).
% 9.85/2.12 thf(zf_stmt_0, negated_conjecture,
% 9.85/2.12 (~( hBOOL @
% 9.85/2.12 ( hAPP @
% 9.85/2.12 c_InductTermi_OIT @
% 9.85/2.12 ( c_List_Ofoldl @
% 9.85/2.12 c_Lambda_OdB_OApp @
% 9.85/2.12 ( c_Lambda_OdB_OVar @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 9.85/2.12 ( c_List_Omap @
% 9.85/2.12 ( c_COMBC @
% 9.85/2.12 c_Lambda_Olift @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 9.85/2.12 tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB ) @
% 9.85/2.12 ( c_List_Omap @
% 9.85/2.12 ( c_COMBC @
% 9.85/2.12 ( c_COMBC @
% 9.85/2.12 c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @
% 9.85/2.12 tc_Lambda_OdB @ ( tc_fun @ tc_nat @ tc_Lambda_OdB ) ) @
% 9.85/2.12 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB ) @
% 9.85/2.12 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB ) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB ) ) )),
% 9.85/2.12 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 9.85/2.12 thf(zip_derived_cl587, plain,
% 9.85/2.12 (~ (hBOOL @
% 9.85/2.12 (hAPP @ c_InductTermi_OIT @
% 9.85/2.12 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 9.85/2.12 (c_Lambda_OdB_OVar @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @ c_Lambda_Olift @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 9.85/2.12 tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @
% 9.85/2.12 (c_COMBC @ c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @
% 9.85/2.12 tc_Lambda_OdB @ (tc_fun @ tc_nat @ tc_Lambda_OdB)) @
% 9.85/2.12 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 9.85/2.12 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.85/2.12 thf(cls_True_0, axiom, (( v_n____ ) = ( v_i____ ))).
% 9.85/2.12 thf(zip_derived_cl534, plain, (((v_n____) = (v_i____))),
% 9.85/2.12 inference('cnf', [status(esa)], [cls_True_0])).
% 9.85/2.12 thf(zip_derived_cl3069, plain,
% 9.85/2.12 (~ (hBOOL @
% 9.85/2.12 (hAPP @ c_InductTermi_OIT @
% 9.85/2.12 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 9.85/2.12 (c_Lambda_OdB_OVar @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @ c_Lambda_Olift @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 9.85/2.12 tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @
% 9.85/2.12 (c_COMBC @ c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @
% 9.85/2.12 tc_Lambda_OdB @ (tc_fun @ tc_nat @ tc_Lambda_OdB)) @
% 9.85/2.12 v_n____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 9.85/2.12 inference('demod', [status(thm)], [zip_derived_cl587, zip_derived_cl534])).
% 9.85/2.12 thf(zip_derived_cl9480, plain,
% 9.85/2.12 (~ (c_List_Olistsp @ c_InductTermi_OIT @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @ c_Lambda_Olift @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 9.85/2.12 tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @
% 9.85/2.12 (c_COMBC @ c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @
% 9.85/2.12 tc_Lambda_OdB @ (tc_fun @ tc_nat @ tc_Lambda_OdB)) @
% 9.85/2.12 v_n____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB)),
% 9.85/2.12 inference('s_sup-', [status(thm)],
% 9.85/2.12 [zip_derived_cl562, zip_derived_cl3069])).
% 9.85/2.12 thf(cls_CHAINED_0, axiom,
% 9.85/2.12 (c_List_Olistsp @
% 9.85/2.12 c_InductTermi_OIT @
% 9.85/2.12 ( c_List_Omap @
% 9.85/2.12 ( c_COMBC @
% 9.85/2.12 c_Lambda_Olift @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @
% 9.85/2.12 tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB ) @
% 9.85/2.12 ( c_List_Omap @
% 9.85/2.12 ( c_COMBC @
% 9.85/2.12 ( c_COMBC @
% 9.85/2.12 c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @ tc_Lambda_OdB @
% 9.85/2.12 ( tc_fun @ tc_nat @ tc_Lambda_OdB ) ) @
% 9.85/2.12 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB ) @
% 9.85/2.12 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB ) @
% 9.85/2.12 tc_Lambda_OdB)).
% 9.85/2.12 thf(zip_derived_cl586, plain,
% 9.85/2.12 ( (c_List_Olistsp @ c_InductTermi_OIT @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @ c_Lambda_Olift @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 9.85/2.12 tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @
% 9.85/2.12 (c_COMBC @ c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @
% 9.85/2.12 tc_Lambda_OdB @ (tc_fun @ tc_nat @ tc_Lambda_OdB)) @
% 9.85/2.12 v_i____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB)),
% 9.85/2.12 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 9.85/2.12 thf(zip_derived_cl534, plain, (((v_n____) = (v_i____))),
% 9.85/2.12 inference('cnf', [status(esa)], [cls_True_0])).
% 9.85/2.12 thf(zip_derived_cl3601, plain,
% 9.85/2.12 ( (c_List_Olistsp @ c_InductTermi_OIT @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @ c_Lambda_Olift @ (c_HOL_Ozero__class_Ozero @ tc_nat) @
% 9.85/2.12 tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 (c_List_Omap @
% 9.85/2.12 (c_COMBC @
% 9.85/2.12 (c_COMBC @ c_Lambda_Osubst @ v_u____ @ tc_Lambda_OdB @
% 9.85/2.12 tc_Lambda_OdB @ (tc_fun @ tc_nat @ tc_Lambda_OdB)) @
% 9.85/2.12 v_n____ @ tc_Lambda_OdB @ tc_nat @ tc_Lambda_OdB) @
% 9.85/2.12 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB @ tc_Lambda_OdB) @
% 9.85/2.12 tc_Lambda_OdB)),
% 9.85/2.12 inference('demod', [status(thm)], [zip_derived_cl586, zip_derived_cl534])).
% 9.85/2.12 thf(zip_derived_cl9486, plain, ($false),
% 9.85/2.12 inference('demod', [status(thm)],
% 9.85/2.12 [zip_derived_cl9480, zip_derived_cl3601])).
% 9.85/2.12
% 9.85/2.12 % SZS output end Refutation
% 9.85/2.12
% 9.85/2.12
% 9.85/2.12 % Terminating...
% 9.85/2.15 % Runner terminated.
% 2.80/2.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------