%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL825-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:14:40 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(452,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(instantiation,[status(thm)],[452]) ).
cnf(312,plain,
c_Lattices_Olower__semilattice__class_Oinf(X0,X0,tc_fun(X1,tc_bool)) = X0,
inference(cnf,[status(esa)],[cls_Int__absorb_0]) ).
cnf(l2,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_InductTermi_OIT,c_InductTermi_OIT,tc_fun(X1_2,tc_bool)) = c_InductTermi_OIT,
inference(instantiation,[status(thm)],[312]) ).
cnf(447,plain,
c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1),
inference(cnf,[status(esa)],[cls_listsp_ONil_0]) ).
cnf(l4,plain,
c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(c_InductTermi_OIT,c_InductTermi_OIT,tc_fun(X1_2,tc_bool)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(instantiation,[status(thm)],[447]) ).
cnf(451,plain,
c_List_Olist_ONil(X0) = c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X0),
inference(cnf,[status(esa)],[cls_Nil__is__map__conv_1]) ).
cnf(l3,plain,
c_List_Olist_ONil(tc_Lambda_OdB) = c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(instantiation,[status(thm)],[451]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l4,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL825-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 6 00:02:48 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.39 % launching worker at depth: 1
% 0.12/0.39 % launching worker at depth: 7
% 0.12/0.39 % launching worker at depth: 4
% 0.12/0.39 % launching worker at depth: 3
% 0.12/0.39 % launching worker at depth: 5
% 0.12/0.39 % launching worker at depth: 6
% 0.12/0.39 % launching worker at depth: 2
% 0.12/0.39 % launching worker at depth: 8
% 0.12/0.39 % launching worker at depth: 9
% 0.12/0.40 % SZS status Theorem for theBenchmark
% 0.12/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------