%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL784-1 : 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.8dLCeai9Bq true
% Computer : n013.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 01:37:16 PM UTC 2026
% Result : Unsatisfiable 2.24s 1.19s
% Output : Refutation 2.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL784-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8dLCeai9Bq true
% 0.17/0.43 % Computer : n013.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 4 23:13:05 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Running portfolio for 300 s
% 0.17/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Number of cores: 8
% 0.17/0.44 % Python version: Python 3.12.3
% 0.17/0.44 % Running in FO mode
% 0.41/0.85 % Total configuration time : 435
% 0.41/0.85 % Estimated wc time : 1092
% 0.41/0.85 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.96 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 2.12/1.09 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.24/1.19 % Solved by fo/fo6_bce.sh.
% 2.24/1.19 % BCE start: 317
% 2.24/1.19 % BCE eliminated: 19
% 2.24/1.19 % PE start: 298
% 2.24/1.19 logic: eq
% 2.24/1.19 % PE eliminated: 13
% 2.24/1.19 % done 157 iterations in 0.207s
% 2.24/1.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.24/1.19 % SZS output start Refutation
% 2.24/1.19 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 2.24/1.19 thf(tc_Lambda_OdB_type, type, tc_Lambda_OdB: $i).
% 2.24/1.19 thf(v_n_____type, type, v_n____: $i).
% 2.24/1.19 thf(v_i_____type, type, v_i____: $i).
% 2.24/1.19 thf(c_List_Olist_ONil_type, type, c_List_Olist_ONil: $i > $i).
% 2.24/1.19 thf(c_InductTermi_OIT_type, type, c_InductTermi_OIT: $i).
% 2.24/1.19 thf(hBOOL_type, type, hBOOL: $i > $o).
% 2.24/1.19 thf(c_Lambda_OdB_OVar_type, type, c_Lambda_OdB_OVar: $i > $i).
% 2.24/1.19 thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i).
% 2.24/1.19 thf(c_Lambda_OdB_OApp_type, type, c_Lambda_OdB_OApp: $i).
% 2.24/1.19 thf(v_rs_____type, type, v_rs____: $i).
% 2.24/1.19 thf(v_u_____type, type, v_u____: $i).
% 2.24/1.19 thf(c_List_Ofoldl_type, type, c_List_Ofoldl: $i > $i > $i > $i > $i > $i).
% 2.24/1.19 thf(cls_conjecture_0, conjecture,
% 2.24/1.19 (hBOOL @
% 2.24/1.19 ( hAPP @
% 2.24/1.19 c_InductTermi_OIT @
% 2.24/1.19 ( hAPP @
% 2.24/1.19 ( hAPP @
% 2.24/1.19 ( hAPP @
% 2.24/1.19 c_Lambda_Osubst @
% 2.24/1.19 ( c_List_Ofoldl @
% 2.24/1.19 c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OVar @ v_n____ ) @
% 2.24/1.19 v_rs____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 2.24/1.19 v_u____ ) @
% 2.24/1.19 v_i____ ) ))).
% 2.24/1.19 thf(zf_stmt_0, negated_conjecture,
% 2.24/1.19 (~( hBOOL @
% 2.24/1.19 ( hAPP @
% 2.24/1.19 c_InductTermi_OIT @
% 2.24/1.19 ( hAPP @
% 2.24/1.19 ( hAPP @
% 2.24/1.19 ( hAPP @
% 2.24/1.19 c_Lambda_Osubst @
% 2.24/1.19 ( c_List_Ofoldl @
% 2.24/1.19 c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OVar @ v_n____ ) @
% 2.24/1.19 v_rs____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 2.24/1.19 v_u____ ) @
% 2.24/1.19 v_i____ ) ) )),
% 2.24/1.19 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 2.24/1.19 thf(zip_derived_cl296, plain,
% 2.24/1.19 (~ (hBOOL @
% 2.24/1.19 (hAPP @ c_InductTermi_OIT @
% 2.24/1.19 (hAPP @
% 2.24/1.19 (hAPP @
% 2.24/1.19 (hAPP @ c_Lambda_Osubst @
% 2.24/1.19 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 2.24/1.19 (c_Lambda_OdB_OVar @ v_n____) @ v_rs____ @ tc_Lambda_OdB @
% 2.24/1.19 tc_Lambda_OdB)) @
% 2.24/1.19 v_u____) @
% 2.24/1.19 v_i____)))),
% 2.24/1.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.24/1.19 thf(cls_True_0, axiom, (( v_n____ ) = ( v_i____ ))).
% 2.24/1.19 thf(zip_derived_cl247, plain, (((v_n____) = (v_i____))),
% 2.24/1.19 inference('cnf', [status(esa)], [cls_True_0])).
% 2.24/1.19 thf(zip_derived_cl1099, plain,
% 2.24/1.19 (~ (hBOOL @
% 2.24/1.19 (hAPP @ c_InductTermi_OIT @
% 2.24/1.19 (hAPP @
% 2.24/1.19 (hAPP @
% 2.24/1.19 (hAPP @ c_Lambda_Osubst @
% 2.24/1.19 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 2.24/1.19 (c_Lambda_OdB_OVar @ v_n____) @ v_rs____ @ tc_Lambda_OdB @
% 2.24/1.19 tc_Lambda_OdB)) @
% 2.24/1.19 v_u____) @
% 2.24/1.19 v_n____)))),
% 2.24/1.19 inference('demod', [status(thm)], [zip_derived_cl296, zip_derived_cl247])).
% 2.24/1.19 thf(cls_Var__eq__apps__conv_2, axiom,
% 2.24/1.19 (( c_Lambda_OdB_OVar @ V_m ) =
% 2.24/1.19 ( c_List_Ofoldl @
% 2.24/1.19 c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OVar @ V_m ) @
% 2.24/1.19 ( c_List_Olist_ONil @ tc_Lambda_OdB ) @ tc_Lambda_OdB @ tc_Lambda_OdB ))).
% 2.24/1.19 thf(zip_derived_cl265, plain,
% 2.24/1.19 (![X0 : $i]:
% 2.24/1.19 ((c_Lambda_OdB_OVar @ X0)
% 2.24/1.19 = (c_List_Ofoldl @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OVar @ X0) @
% 2.24/1.19 (c_List_Olist_ONil @ tc_Lambda_OdB) @ tc_Lambda_OdB @
% 2.24/1.19 tc_Lambda_OdB))),
% 2.24/1.19 inference('cnf', [status(esa)], [cls_Var__eq__apps__conv_2])).
% 2.24/1.19 thf(cls_Nil_0, axiom, (( v_rs____ ) = ( c_List_Olist_ONil @ tc_Lambda_OdB ))).
% 2.24/1.19 thf(zip_derived_cl273, plain,
% 2.24/1.19 (((v_rs____) = (c_List_Olist_ONil @ tc_Lambda_OdB))),
% 2.24/1.19 inference('cnf', [status(esa)], [cls_Nil_0])).
% 2.24/1.19 thf(zip_derived_cl1150, plain,
% 2.24/1.19 (![X0 : $i]:
% 2.24/1.19 ((c_Lambda_OdB_OVar @ X0)
% 2.24/1.19 = (c_List_Ofoldl @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OVar @ X0) @
% 2.24/1.19 v_rs____ @ tc_Lambda_OdB @ tc_Lambda_OdB))),
% 2.24/1.19 inference('demod', [status(thm)], [zip_derived_cl265, zip_derived_cl273])).
% 2.24/1.19 thf(zip_derived_cl1152, plain,
% 2.24/1.19 (~ (hBOOL @
% 2.24/1.19 (hAPP @ c_InductTermi_OIT @
% 2.24/1.19 (hAPP @
% 2.24/1.19 (hAPP @ (hAPP @ c_Lambda_Osubst @ (c_Lambda_OdB_OVar @ v_n____)) @
% 2.24/1.19 v_u____) @
% 2.24/1.19 v_n____)))),
% 2.24/1.19 inference('demod', [status(thm)],
% 2.24/1.19 [zip_derived_cl1099, zip_derived_cl1150])).
% 2.24/1.19 thf(cls_subst__eq_0, axiom,
% 2.24/1.19 (( hAPP @
% 2.24/1.19 ( hAPP @ ( hAPP @ c_Lambda_Osubst @ ( c_Lambda_OdB_OVar @ V_k ) ) @ V_u ) @
% 2.24/1.19 V_k ) =
% 2.24/1.19 ( V_u ))).
% 2.24/1.19 thf(zip_derived_cl220, plain,
% 2.24/1.19 (![X0 : $i, X1 : $i]:
% 2.24/1.19 ((hAPP @
% 2.24/1.19 (hAPP @ (hAPP @ c_Lambda_Osubst @ (c_Lambda_OdB_OVar @ X1)) @ X0) @
% 2.24/1.19 X1) = (X0))),
% 2.24/1.19 inference('cnf', [status(esa)], [cls_subst__eq_0])).
% 2.24/1.19 thf(cls_uIT_0, axiom, (hBOOL @ ( hAPP @ c_InductTermi_OIT @ v_u____ ))).
% 2.24/1.19 thf(zip_derived_cl282, plain,
% 2.24/1.19 ( (hBOOL @ (hAPP @ c_InductTermi_OIT @ v_u____))),
% 2.24/1.19 inference('cnf', [status(esa)], [cls_uIT_0])).
% 2.24/1.19 thf(zip_derived_cl1336, plain, ($false),
% 2.24/1.19 inference('demod', [status(thm)],
% 2.24/1.19 [zip_derived_cl1152, zip_derived_cl220, zip_derived_cl282])).
% 2.24/1.19
% 2.24/1.19 % SZS output end Refutation
% 2.24/1.19
% 2.24/1.19
% 2.24/1.19 % Terminating...
% 1.73/1.25 % Runner terminated.
% 1.73/1.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------