%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL777-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U7Vtz89Mjf true
% Computer : n006.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 0.45s 0.97s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL777-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.U7Vtz89Mjf true
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 6 01:43:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Running portfolio for 300 s
% 0.10/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Number of cores: 8
% 0.10/0.37 % Python version: Python 3.12.3
% 0.10/0.37 % Running in FO mode
% 0.40/0.66 % Total configuration time : 435
% 0.40/0.66 % Estimated wc time : 1092
% 0.40/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.43/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.43/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.43/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.43/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.43/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.45/0.97 % Solved by fo/fo13.sh.
% 0.45/0.97 % done 0 iterations in 0.153s
% 0.45/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.45/0.97 % SZS output start Refutation
% 0.45/0.97 thf(v_ss_type, type, v_ss: $i).
% 0.45/0.97 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 0.45/0.97 thf(c_InductTermi_OIT_type, type, c_InductTermi_OIT: $i).
% 0.45/0.97 thf(tc_Lambda_OdB_type, type, tc_Lambda_OdB: $i).
% 0.45/0.97 thf(c_Lambda_OdB_OVar_type, type, c_Lambda_OdB_OVar: $i > $i).
% 0.45/0.97 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 0.45/0.97 thf(v_s_type, type, v_s: $i).
% 0.45/0.97 thf(v_r_type, type, v_r: $i).
% 0.45/0.97 thf(c_List_Olist_ONil_type, type, c_List_Olist_ONil: $i > $i).
% 0.45/0.97 thf(c_Lambda_OdB_OApp_type, type, c_Lambda_OdB_OApp: $i).
% 0.45/0.97 thf(c_List_Oappend_type, type, c_List_Oappend: $i > $i > $i > $i).
% 0.45/0.97 thf(hBOOL_type, type, hBOOL: $i > $o).
% 0.45/0.97 thf(c_List_Ofoldl_type, type, c_List_Ofoldl: $i > $i > $i > $i > $i > $i).
% 0.45/0.97 thf(tc_nat_type, type, tc_nat: $i).
% 0.45/0.97 thf(v_i_type, type, v_i: $i).
% 0.45/0.97 thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i > $i > $i > $i).
% 0.45/0.97 thf(c_List_Olist_OCons_type, type, c_List_Olist_OCons: $i > $i > $i > $i).
% 0.45/0.97 thf(cls_conjecture_4, conjecture,
% 0.45/0.97 (hBOOL @
% 0.45/0.97 ( hAPP @
% 0.45/0.97 c_InductTermi_OIT @
% 0.45/0.97 ( c_List_Ofoldl @
% 0.45/0.97 c_Lambda_OdB_OApp @
% 0.45/0.97 ( c_Lambda_Osubst @ v_r @ v_s @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 0.45/0.97 ( c_List_Oappend @
% 0.45/0.97 v_ss @
% 0.45/0.97 ( c_List_Olist_OCons @
% 0.45/0.97 ( c_Lambda_OdB_OVar @ v_i ) @
% 0.45/0.97 ( c_List_Olist_ONil @ tc_Lambda_OdB ) @ tc_Lambda_OdB ) @
% 0.45/0.97 tc_Lambda_OdB ) @
% 0.45/0.97 tc_Lambda_OdB @ tc_Lambda_OdB ) ))).
% 0.45/0.97 thf(zf_stmt_0, negated_conjecture,
% 0.45/0.97 (~( hBOOL @
% 0.45/0.97 ( hAPP @
% 0.45/0.97 c_InductTermi_OIT @
% 0.45/0.97 ( c_List_Ofoldl @
% 0.45/0.97 c_Lambda_OdB_OApp @
% 0.45/0.97 ( c_Lambda_Osubst @
% 0.45/0.97 v_r @ v_s @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 0.45/0.97 ( c_List_Oappend @
% 0.45/0.97 v_ss @
% 0.45/0.97 ( c_List_Olist_OCons @
% 0.45/0.97 ( c_Lambda_OdB_OVar @ v_i ) @
% 0.45/0.97 ( c_List_Olist_ONil @ tc_Lambda_OdB ) @ tc_Lambda_OdB ) @
% 0.45/0.97 tc_Lambda_OdB ) @
% 0.45/0.97 tc_Lambda_OdB @ tc_Lambda_OdB ) ) )),
% 0.45/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.45/0.97 thf(zip_derived_cl364, plain,
% 0.45/0.97 (~ (hBOOL @
% 0.45/0.97 (hAPP @ c_InductTermi_OIT @
% 0.45/0.97 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 0.45/0.97 (c_Lambda_Osubst @ v_r @ v_s @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 0.45/0.97 (c_List_Oappend @ v_ss @
% 0.45/0.97 (c_List_Olist_OCons @ (c_Lambda_OdB_OVar @ v_i) @
% 0.45/0.97 (c_List_Olist_ONil @ tc_Lambda_OdB) @ tc_Lambda_OdB) @
% 0.45/0.97 tc_Lambda_OdB) @
% 0.45/0.97 tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 0.45/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.45/0.97 thf(cls_app__last_0, axiom,
% 0.45/0.97 (( hAPP @
% 0.45/0.97 ( hAPP @
% 0.45/0.97 c_Lambda_OdB_OApp @
% 0.45/0.97 ( c_List_Ofoldl @
% 0.45/0.97 c_Lambda_OdB_OApp @ V_t @ V_ts @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 0.45/0.97 V_u ) =
% 0.45/0.97 ( c_List_Ofoldl @
% 0.45/0.97 c_Lambda_OdB_OApp @ V_t @
% 0.45/0.97 ( c_List_Oappend @
% 0.45/0.97 V_ts @
% 0.45/0.97 ( c_List_Olist_OCons @
% 0.45/0.97 V_u @ ( c_List_Olist_ONil @ tc_Lambda_OdB ) @ tc_Lambda_OdB ) @
% 0.45/0.97 tc_Lambda_OdB ) @
% 0.45/0.97 tc_Lambda_OdB @ tc_Lambda_OdB ))).
% 0.45/0.97 thf(zip_derived_cl312, plain,
% 0.45/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.97 ((hAPP @
% 0.45/0.97 (hAPP @ c_Lambda_OdB_OApp @
% 0.45/0.97 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X0 @ X1 @ tc_Lambda_OdB @
% 0.45/0.97 tc_Lambda_OdB)) @
% 0.45/0.97 X2)
% 0.45/0.97 = (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X0 @
% 0.45/0.97 (c_List_Oappend @ X1 @
% 0.45/0.97 (c_List_Olist_OCons @ X2 @
% 0.45/0.97 (c_List_Olist_ONil @ tc_Lambda_OdB) @ tc_Lambda_OdB) @
% 0.45/0.97 tc_Lambda_OdB) @
% 0.45/0.97 tc_Lambda_OdB @ tc_Lambda_OdB))),
% 0.45/0.97 inference('cnf', [status(esa)], [cls_app__last_0])).
% 0.45/0.97 thf(cls_conjecture_1, conjecture,
% 0.45/0.97 (~( hBOOL @
% 0.45/0.97 ( hAPP @
% 0.45/0.97 c_InductTermi_OIT @
% 0.45/0.97 ( hAPP @
% 0.45/0.97 ( hAPP @
% 0.45/0.97 c_Lambda_OdB_OApp @
% 0.45/0.97 ( c_List_Ofoldl @
% 0.45/0.97 c_Lambda_OdB_OApp @
% 0.45/0.97 ( c_Lambda_Osubst @
% 0.45/0.97 v_r @ v_s @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 0.45/0.97 v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 0.45/0.97 ( c_Lambda_OdB_OVar @ v_i ) ) ) ))).
% 0.45/0.97 thf(zf_stmt_1, negated_conjecture,
% 0.45/0.97 (hBOOL @
% 0.45/0.97 ( hAPP @
% 0.45/0.97 c_InductTermi_OIT @
% 0.45/0.97 ( hAPP @
% 0.45/0.97 ( hAPP @
% 0.45/0.97 c_Lambda_OdB_OApp @
% 0.45/0.97 ( c_List_Ofoldl @
% 0.45/0.97 c_Lambda_OdB_OApp @
% 0.45/0.97 ( c_Lambda_Osubst @
% 0.45/0.97 v_r @ v_s @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 0.45/0.97 v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 0.45/0.97 ( c_Lambda_OdB_OVar @ v_i ) ) )),
% 0.45/0.97 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.45/0.97 thf(zip_derived_cl361, plain,
% 0.45/0.97 ( (hBOOL @
% 0.45/0.97 (hAPP @ c_InductTermi_OIT @
% 0.45/0.97 (hAPP @
% 0.45/0.97 (hAPP @ c_Lambda_OdB_OApp @
% 0.45/0.97 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 0.45/0.97 (c_Lambda_Osubst @ v_r @ v_s @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 0.45/0.97 v_ss @ tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 0.45/0.97 (c_Lambda_OdB_OVar @ v_i))))),
% 0.45/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.45/0.97 thf(zip_derived_cl396, plain, ($false),
% 0.45/0.97 inference('demod', [status(thm)],
% 0.45/0.97 [zip_derived_cl364, zip_derived_cl312, zip_derived_cl361])).
% 0.45/0.97
% 0.45/0.97 % SZS output end Refutation
% 0.45/0.97
% 0.45/0.97
% 0.45/0.97 % Terminating...
% 0.45/1.03 % Runner terminated.
% 3.04/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------