%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL855-1 : 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.frd0YZvqvW true
% Computer : n003.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 01:37:28 PM UTC 2026
% Result : Unsatisfiable 4.00s 1.27s
% Output : Refutation 4.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL855-1 : 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.frd0YZvqvW true
% 0.09/0.38 % Computer : n003.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Fri Sep 4 18:36:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Running portfolio for 300 s
% 0.09/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Number of cores: 8
% 0.09/0.39 % Python version: Python 3.12.3
% 0.09/0.39 % 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
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 4.00/1.27 % Solved by fo/fo3_bce.sh.
% 4.00/1.27 % BCE start: 165
% 4.00/1.27 % BCE eliminated: 0
% 4.00/1.27 % PE start: 165
% 4.00/1.27 logic: eq
% 4.00/1.27 % PE eliminated: 0
% 4.00/1.27 % done 242 iterations in 0.425s
% 4.00/1.27 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.00/1.27 % SZS output start Refutation
% 4.00/1.27 thf(v_s_____type, type, v_s____: $i).
% 4.00/1.27 thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i > $i > $i > $i).
% 4.00/1.27 thf(tc_nat_type, type, tc_nat: $i).
% 4.00/1.27 thf(c_Lambda_Olift_type, type, c_Lambda_Olift: $i > $i > $i).
% 4.00/1.27 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 4.00/1.27 thf(c_Lambda_OdB_OApp_type, type, c_Lambda_OdB_OApp: $i > $i > $i).
% 4.00/1.27 thf(c_InductTermi_OIT_type, type, c_InductTermi_OIT: $i > $o).
% 4.00/1.27 thf(c_Lambda_OdB_OVar_type, type, c_Lambda_OdB_OVar: $i > $i).
% 4.00/1.27 thf(v_ta_____type, type, v_ta____: $i).
% 4.00/1.27 thf(cls_CHAINED_0, axiom,
% 4.00/1.27 (c_InductTermi_OIT @
% 4.00/1.27 ( c_Lambda_Osubst @
% 4.00/1.27 ( c_Lambda_OdB_OApp @
% 4.00/1.27 ( c_Lambda_OdB_OVar @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 4.00/1.27 ( c_Lambda_Olift @ v_ta____ @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ) @
% 4.00/1.27 v_s____ @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) ))).
% 4.00/1.27 thf(zip_derived_cl163, plain,
% 4.00/1.27 ( (c_InductTermi_OIT @
% 4.00/1.27 (c_Lambda_Osubst @
% 4.00/1.27 (c_Lambda_OdB_OApp @
% 4.00/1.27 (c_Lambda_OdB_OVar @ (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 4.00/1.27 (c_Lambda_Olift @ v_ta____ @ (c_HOL_Ozero__class_Ozero @ tc_nat))) @
% 4.00/1.27 v_s____ @ (c_HOL_Ozero__class_Ozero @ tc_nat)))),
% 4.00/1.27 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 4.00/1.27 thf(cls_subst__App_0, axiom,
% 4.00/1.27 (( c_Lambda_Osubst @ ( c_Lambda_OdB_OApp @ V_t @ V_u ) @ V_s @ V_k ) =
% 4.00/1.27 ( c_Lambda_OdB_OApp @
% 4.00/1.27 ( c_Lambda_Osubst @ V_t @ V_s @ V_k ) @
% 4.00/1.27 ( c_Lambda_Osubst @ V_u @ V_s @ V_k ) ))).
% 4.00/1.27 thf(zip_derived_cl145, plain,
% 4.00/1.27 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.00/1.27 ((c_Lambda_Osubst @ (c_Lambda_OdB_OApp @ X0 @ X3) @ X1 @ X2)
% 4.00/1.27 = (c_Lambda_OdB_OApp @ (c_Lambda_Osubst @ X0 @ X1 @ X2) @
% 4.00/1.27 (c_Lambda_Osubst @ X3 @ X1 @ X2)))),
% 4.00/1.27 inference('cnf', [status(esa)], [cls_subst__App_0])).
% 4.00/1.27 thf(cls_subst__eq_0, axiom,
% 4.00/1.27 (( c_Lambda_Osubst @ ( c_Lambda_OdB_OVar @ V_k ) @ V_u @ V_k ) = ( V_u ))).
% 4.00/1.27 thf(zip_derived_cl142, plain,
% 4.00/1.27 (![X0 : $i, X1 : $i]:
% 4.00/1.27 ((c_Lambda_Osubst @ (c_Lambda_OdB_OVar @ X1) @ X0 @ X1) = (X0))),
% 4.00/1.27 inference('cnf', [status(esa)], [cls_subst__eq_0])).
% 4.00/1.27 thf(cls_subst__lift_0, axiom,
% 4.00/1.27 (( c_Lambda_Osubst @ ( c_Lambda_Olift @ V_t @ V_k ) @ V_s @ V_k ) = ( V_t ))).
% 4.00/1.27 thf(zip_derived_cl127, plain,
% 4.00/1.27 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.00/1.27 ((c_Lambda_Osubst @ (c_Lambda_Olift @ X0 @ X1) @ X2 @ X1) = (X0))),
% 4.00/1.27 inference('cnf', [status(esa)], [cls_subst__lift_0])).
% 4.00/1.27 thf(cls_conjecture_0, conjecture,
% 4.00/1.27 (c_InductTermi_OIT @ ( c_Lambda_OdB_OApp @ v_s____ @ v_ta____ ))).
% 4.00/1.27 thf(zf_stmt_0, negated_conjecture,
% 4.00/1.27 (~( c_InductTermi_OIT @ ( c_Lambda_OdB_OApp @ v_s____ @ v_ta____ ) )),
% 4.00/1.27 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 4.00/1.27 thf(zip_derived_cl164, plain,
% 4.00/1.27 (~ (c_InductTermi_OIT @ (c_Lambda_OdB_OApp @ v_s____ @ v_ta____))),
% 4.00/1.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.00/1.27 thf(zip_derived_cl1856, plain, ($false),
% 4.00/1.27 inference('demod', [status(thm)],
% 4.00/1.27 [zip_derived_cl163, zip_derived_cl145, zip_derived_cl142,
% 4.00/1.27 zip_derived_cl127, zip_derived_cl164])).
% 4.00/1.27
% 4.00/1.27 % SZS output end Refutation
% 4.00/1.27
% 4.00/1.27
% 4.00/1.27 % Terminating...
% 1.92/1.33 % Runner terminated.
% 1.92/1.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------