%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL805-1 : 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 12:14:37 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : CNFRefutation 0.10s
% 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(840,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,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(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(instantiation,[status(thm)],[840]) ).
cnf(830,plain,
( ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB)
| c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
inference(cnf,[status(esa)],[cls_lifts__IT_0]) ).
cnf(l1,plain,
( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
| c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
inference(instantiation,[status(thm)],[830]) ).
cnf(601,plain,
c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = X0,
inference(cnf,[status(esa)],[cls_liftn__0_0]) ).
cnf(l3,plain,
c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),c_InductTermi_OIT,X1_3) = c_InductTermi_OIT,
inference(instantiation,[status(thm)],[601]) ).
cnf(834,plain,
c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1),
inference(cnf,[status(esa)],[cls_listsp_ONil_0]) ).
cnf(l5,plain,
c_List_Olistsp(c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),c_InductTermi_OIT,X1_3),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(instantiation,[status(thm)],[834]) ).
cnf(839,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(l6,plain,
c_List_Olist_ONil(tc_Lambda_OdB) = c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(instantiation,[status(thm)],[839]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL805-1 : 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
% 0.10/0.36 % Computer : n001.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
% 0.10/0.37 % DateTime : Sat Sep 5 17:45:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.40 % launching worker at depth: 1
% 0.10/0.40 % launching worker at depth: 4
% 0.10/0.40 % launching worker at depth: 5
% 0.10/0.40 % launching worker at depth: 2
% 0.10/0.40 % launching worker at depth: 3
% 0.10/0.40 % launching worker at depth: 6
% 0.10/0.40 % launching worker at depth: 8
% 0.10/0.40 % launching worker at depth: 7
% 0.10/0.40 % launching worker at depth: 9
% 0.10/0.42 % launching worker at depth: 10
% 0.10/0.42 % SZS status Theorem for theBenchmark
% 0.10/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------