%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL794-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 12:14:35 PM UTC 2026
% Result : Unsatisfiable 20.17s 3.01s
% Output : CNFRefutation 20.17s
% 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(409,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(instantiation,[status(thm)],[409]) ).
cnf(399,plain,
( ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
| ~ c_Type_Otyping(X0,X4,X2)
| c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4),X3) ),
inference(cnf,[status(esa)],[cls_App_0]) ).
cnf(l1,plain,
( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____)
| c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
inference(instantiation,[status(thm)],[399]) ).
cnf(395,plain,
( ~ c_Type_Otyping(X0,X1,X2)
| c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
inference(cnf,[status(esa)],[cls_lift__type_0]) ).
cnf(l2,plain,
( ~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
| c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
inference(instantiation,[status(thm)],[395]) ).
cnf(402,plain,
c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
inference(cnf,[status(esa)],[cls_uT_H_0]) ).
cnf(l8,plain,
c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
inference(instantiation,[status(thm)],[402]) ).
cnf(72,plain,
c_List_Oappend(c_List_Olist_ONil(X0),X1,X0) = X1,
inference(cnf,[status(esa)],[cls_append__Nil_0]) ).
cnf(l5,plain,
c_List_Oappend(c_List_Olist_ONil(X1_68),c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),X1_68) = c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),
inference(instantiation,[status(thm)],[72]) ).
cnf(407,plain,
c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
inference(cnf,[status(esa)],[cls_typing_OVar_0]) ).
cnf(l70,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(instantiation,[status(thm)],[407]) ).
cnf(73,plain,
X0 = c_List_Oappend(c_List_Olist_ONil(X1),X0,X1),
inference(cnf,[status(esa)],[cls_self__append__conv2_1]) ).
cnf(l68,plain,
c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype) = c_List_Oappend(c_List_Olist_ONil(X1_68),c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),X1_68),
inference(instantiation,[status(thm)],[73]) ).
cnf(71,plain,
X0 = c_List_Oappend(X0,c_List_Olist_ONil(X1),X1),
inference(cnf,[status(esa)],[cls_self__append__conv_1]) ).
cnf(l62,plain,
c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)) = c_List_Oappend(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(X1_69),X1_69),
inference(instantiation,[status(thm)],[71]) ).
cnf(l69,plain,
c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)) = c_List_Oappend(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(X1_69),X1_69),
inference(instantiation,[status(thm)],[71]) ).
cnf(404,plain,
hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
inference(cnf,[status(esa)],[cls_shift__eq_0]) ).
cnf(l65,plain,
hAPP(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_HOL_Ozero__class_Ozero(tc_nat)) = v_T_H_H____,
inference(instantiation,[status(thm)],[404]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l5,l70,l68,l62,l69,l65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL794-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n028.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 10:04:14 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % launching worker at depth: 1
% 0.12/0.37 % launching worker at depth: 3
% 0.12/0.37 % launching worker at depth: 5
% 0.12/0.37 % launching worker at depth: 8
% 0.12/0.37 % launching worker at depth: 4
% 0.12/0.37 % launching worker at depth: 6
% 0.12/0.37 % launching worker at depth: 7
% 0.12/0.37 % launching worker at depth: 2
% 0.12/0.37 % launching worker at depth: 9
% 0.12/0.38 % launching worker at depth: 10
% 20.17/3.01 % SZS status Theorem for theBenchmark
% 20.17/3.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------