%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL834-1 : 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.s9XVmulmtY true
% Computer : n016.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 01:37:25 PM UTC 2026
% Result : Unsatisfiable 5.54s 1.50s
% Output : Refutation 5.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL834-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.s9XVmulmtY true
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 6 00:13:45 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.12.3
% 0.16/0.38 % Running in FO mode
% 0.45/0.65 % Total configuration time : 435
% 0.45/0.65 % Estimated wc time : 1092
% 0.45/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.54/1.50 % Solved by fo/fo4.sh.
% 5.54/1.50 % done 253 iterations in 0.672s
% 5.54/1.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.54/1.50 % SZS output start Refutation
% 5.54/1.50 thf(v_a_____type, type, v_a____: $i).
% 5.54/1.50 thf(hBOOL_type, type, hBOOL: $i > $o).
% 5.54/1.50 thf(c_List_Ofoldl_type, type, c_List_Ofoldl: $i > $i > $i > $i > $i > $i).
% 5.54/1.50 thf(v_r_____type, type, v_r____: $i).
% 5.54/1.50 thf(c_Lambda_Osubst_type, type, c_Lambda_Osubst: $i).
% 5.54/1.50 thf(c_List_Olist_OCons_type, type, c_List_Olist_OCons: $i > $i > $i > $i).
% 5.54/1.50 thf(c_Lambda_OdB_OAbs_type, type, c_Lambda_OdB_OAbs: $i > $i).
% 5.54/1.50 thf(v_as_____type, type, v_as____: $i).
% 5.54/1.50 thf(c_Lambda_Obeta_type, type, c_Lambda_Obeta: $i).
% 5.54/1.50 thf(c_Lambda_OdB_OApp_type, type, c_Lambda_OdB_OApp: $i).
% 5.54/1.50 thf(tc_nat_type, type, tc_nat: $i).
% 5.54/1.50 thf(tc_Lambda_OdB_type, type, tc_Lambda_OdB: $i).
% 5.54/1.50 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 5.54/1.50 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 5.54/1.50 thf(cls_beta_0, axiom,
% 5.54/1.50 (hBOOL @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 c_Lambda_Obeta @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @ c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OAbs @ V_s ) ) @ V_t ) ) @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @ ( hAPP @ c_Lambda_Osubst @ V_s ) @ V_t ) @
% 5.54/1.50 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) ))).
% 5.54/1.50 thf(zip_derived_cl55, plain,
% 5.54/1.50 (![X0 : $i, X1 : $i]:
% 5.54/1.50 (hBOOL @
% 5.54/1.50 (hAPP @
% 5.54/1.50 (hAPP @ c_Lambda_Obeta @
% 5.54/1.50 (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ X0)) @ X1)) @
% 5.54/1.50 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ X0) @ X1) @
% 5.54/1.50 (c_HOL_Ozero__class_Ozero @ tc_nat))))),
% 5.54/1.50 inference('cnf', [status(esa)], [cls_beta_0])).
% 5.54/1.50 thf(cls_apps__preserves__beta_0, axiom,
% 5.54/1.50 (( hBOOL @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 c_Lambda_Obeta @
% 5.54/1.50 ( c_List_Ofoldl @
% 5.54/1.50 c_Lambda_OdB_OApp @ V_r @ V_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 5.54/1.50 ( c_List_Ofoldl @
% 5.54/1.50 c_Lambda_OdB_OApp @ V_s @ V_ss @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) ) |
% 5.54/1.50 ( ~( hBOOL @ ( hAPP @ ( hAPP @ c_Lambda_Obeta @ V_r ) @ V_s ) ) ))).
% 5.54/1.50 thf(zip_derived_cl56, plain,
% 5.54/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.54/1.50 ( (hBOOL @
% 5.54/1.50 (hAPP @
% 5.54/1.50 (hAPP @ c_Lambda_Obeta @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X0 @ X1 @ tc_Lambda_OdB @
% 5.54/1.50 tc_Lambda_OdB)) @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X2 @ X1 @ tc_Lambda_OdB @
% 5.54/1.50 tc_Lambda_OdB)))
% 5.54/1.50 | ~ (hBOOL @ (hAPP @ (hAPP @ c_Lambda_Obeta @ X0) @ X2)))),
% 5.54/1.50 inference('cnf', [status(esa)], [cls_apps__preserves__beta_0])).
% 5.54/1.50 thf(cls_dB_Osimps_I3_J_0, axiom,
% 5.54/1.50 (( ( c_Lambda_OdB_OAbs @ V_dB ) != ( c_Lambda_OdB_OAbs @ V_dB_H ) ) |
% 5.54/1.50 ( ( V_dB ) = ( V_dB_H ) ))).
% 5.54/1.50 thf(zip_derived_cl57, plain,
% 5.54/1.50 (![X0 : $i, X1 : $i]:
% 5.54/1.50 (((c_Lambda_OdB_OAbs @ X1) != (c_Lambda_OdB_OAbs @ X0))
% 5.54/1.50 | ((X1) = (X0)))),
% 5.54/1.50 inference('cnf', [status(esa)], [cls_dB_Osimps_I3_J_0])).
% 5.54/1.50 thf(cls_conjecture_0, conjecture,
% 5.54/1.50 (hBOOL @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 c_Lambda_Obeta @
% 5.54/1.50 ( c_List_Ofoldl @
% 5.54/1.50 c_Lambda_OdB_OApp @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @ c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OAbs @ v_r____ ) ) @
% 5.54/1.50 v_a____ ) @
% 5.54/1.50 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 5.54/1.50 ( c_List_Ofoldl @
% 5.54/1.50 c_Lambda_OdB_OApp @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r____ ) @ v_a____ ) @
% 5.54/1.50 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 5.54/1.50 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ))).
% 5.54/1.50 thf(zf_stmt_0, negated_conjecture,
% 5.54/1.50 (~( hBOOL @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 c_Lambda_Obeta @
% 5.54/1.50 ( c_List_Ofoldl @
% 5.54/1.50 c_Lambda_OdB_OApp @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @ c_Lambda_OdB_OApp @ ( c_Lambda_OdB_OAbs @ v_r____ ) ) @
% 5.54/1.50 v_a____ ) @
% 5.54/1.50 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) @
% 5.54/1.50 ( c_List_Ofoldl @
% 5.54/1.50 c_Lambda_OdB_OApp @
% 5.54/1.50 ( hAPP @
% 5.54/1.50 ( hAPP @ ( hAPP @ c_Lambda_Osubst @ v_r____ ) @ v_a____ ) @
% 5.54/1.50 ( c_HOL_Ozero__class_Ozero @ tc_nat ) ) @
% 5.54/1.50 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB ) ) )),
% 5.54/1.50 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 5.54/1.50 thf(zip_derived_cl64, plain,
% 5.54/1.50 (~ (hBOOL @
% 5.54/1.50 (hAPP @
% 5.54/1.50 (hAPP @ c_Lambda_Obeta @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (hAPP @
% 5.54/1.50 (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ v_r____)) @
% 5.54/1.50 v_a____) @
% 5.54/1.50 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @
% 5.54/1.50 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 5.54/1.50 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 5.54/1.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.54/1.50 thf(cls_foldl__Cons_0, axiom,
% 5.54/1.50 (( c_List_Ofoldl @
% 5.54/1.50 V_f @ V_a @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_a @ T_b ) =
% 5.54/1.50 ( c_List_Ofoldl @
% 5.54/1.50 V_f @ ( hAPP @ ( hAPP @ V_f @ V_a ) @ V_x ) @ V_xs @ T_a @ T_b ))).
% 5.54/1.50 thf(zip_derived_cl33, plain,
% 5.54/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.54/1.50 ((c_List_Ofoldl @ X0 @ X1 @ (c_List_Olist_OCons @ X2 @ X3 @ X5) @
% 5.54/1.50 X4 @ X5)
% 5.54/1.50 = (c_List_Ofoldl @ X0 @ (hAPP @ (hAPP @ X0 @ X1) @ X2) @ X3 @ X4 @
% 5.54/1.50 X5))),
% 5.54/1.50 inference('cnf', [status(esa)], [cls_foldl__Cons_0])).
% 5.54/1.50 thf(zip_derived_cl949, plain,
% 5.54/1.50 (~ (hBOOL @
% 5.54/1.50 (hAPP @
% 5.54/1.50 (hAPP @ c_Lambda_Obeta @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (c_Lambda_OdB_OAbs @ v_r____) @
% 5.54/1.50 (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @
% 5.54/1.50 tc_Lambda_OdB @ tc_Lambda_OdB)) @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @
% 5.54/1.50 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 5.54/1.50 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 5.54/1.50 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl33])).
% 5.54/1.50 thf(zip_derived_cl1009, plain,
% 5.54/1.50 (![X0 : $i]:
% 5.54/1.50 (~ (hBOOL @
% 5.54/1.50 (hAPP @ (hAPP @ c_Lambda_Obeta @ X0) @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @
% 5.54/1.50 (c_HOL_Ozero__class_Ozero @ tc_nat)) @
% 5.54/1.50 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB)))
% 5.54/1.50 | ((c_Lambda_OdB_OAbs @ X0)
% 5.54/1.50 != (c_Lambda_OdB_OAbs @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (c_Lambda_OdB_OAbs @ v_r____) @
% 5.54/1.50 (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @
% 5.54/1.50 tc_Lambda_OdB @ tc_Lambda_OdB))))),
% 5.54/1.50 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl949])).
% 5.54/1.50 thf(zip_derived_cl1702, plain,
% 5.54/1.50 (![X0 : $i]:
% 5.54/1.50 (~ (hBOOL @
% 5.54/1.50 (hAPP @ (hAPP @ c_Lambda_Obeta @ X0) @
% 5.54/1.50 (hAPP @ (hAPP @ (hAPP @ c_Lambda_Osubst @ v_r____) @ v_a____) @
% 5.54/1.50 (c_HOL_Ozero__class_Ozero @ tc_nat))))
% 5.54/1.50 | ((c_Lambda_OdB_OAbs @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ X0 @ v_as____ @
% 5.54/1.50 tc_Lambda_OdB @ tc_Lambda_OdB))
% 5.54/1.50 != (c_Lambda_OdB_OAbs @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (c_Lambda_OdB_OAbs @ v_r____) @
% 5.54/1.50 (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @
% 5.54/1.50 tc_Lambda_OdB @ tc_Lambda_OdB))))),
% 5.54/1.50 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl1009])).
% 5.54/1.50 thf(zip_derived_cl1883, plain,
% 5.54/1.50 (((c_Lambda_OdB_OAbs @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (hAPP @ (hAPP @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ v_r____)) @
% 5.54/1.50 v_a____) @
% 5.54/1.50 v_as____ @ tc_Lambda_OdB @ tc_Lambda_OdB))
% 5.54/1.50 != (c_Lambda_OdB_OAbs @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (c_Lambda_OdB_OAbs @ v_r____) @
% 5.54/1.50 (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @
% 5.54/1.50 tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 5.54/1.50 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1702])).
% 5.54/1.50 thf(zip_derived_cl33, plain,
% 5.54/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.54/1.50 ((c_List_Ofoldl @ X0 @ X1 @ (c_List_Olist_OCons @ X2 @ X3 @ X5) @
% 5.54/1.50 X4 @ X5)
% 5.54/1.50 = (c_List_Ofoldl @ X0 @ (hAPP @ (hAPP @ X0 @ X1) @ X2) @ X3 @ X4 @
% 5.54/1.50 X5))),
% 5.54/1.50 inference('cnf', [status(esa)], [cls_foldl__Cons_0])).
% 5.54/1.50 thf(zip_derived_cl1898, plain,
% 5.54/1.50 (((c_Lambda_OdB_OAbs @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @ (c_Lambda_OdB_OAbs @ v_r____) @
% 5.54/1.50 (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @
% 5.54/1.50 tc_Lambda_OdB @ tc_Lambda_OdB))
% 5.54/1.50 != (c_Lambda_OdB_OAbs @
% 5.54/1.50 (c_List_Ofoldl @ c_Lambda_OdB_OApp @
% 5.54/1.50 (c_Lambda_OdB_OAbs @ v_r____) @
% 5.54/1.50 (c_List_Olist_OCons @ v_a____ @ v_as____ @ tc_Lambda_OdB) @
% 5.54/1.50 tc_Lambda_OdB @ tc_Lambda_OdB)))),
% 5.54/1.50 inference('demod', [status(thm)], [zip_derived_cl1883, zip_derived_cl33])).
% 5.54/1.50 thf(zip_derived_cl1899, plain, ($false),
% 5.54/1.50 inference('simplify', [status(thm)], [zip_derived_cl1898])).
% 5.54/1.50
% 5.54/1.50 % SZS output end Refutation
% 5.54/1.50
% 5.54/1.50
% 6.27/1.50 % Terminating...
% 6.27/1.55 % Runner terminated.
% 6.27/1.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------