%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL836-1 : 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 : n007.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 12:14:42 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% 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(593,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
inference(instantiation,[status(thm)],[593]) ).
cnf(581,plain,
( ~ c_Type_Otyping(X0,X1,v_T____)
| ~ c_Type_Otyping(c_Type_Oshift(X0,X2,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X3)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X1),X2))) ),
inference(cnf,[status(esa)],[cls_SI1_0]) ).
cnf(l1,plain,
( ~ c_Type_Otyping(v_e____,v_u____,v_T____)
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)
| ~ hBOOL(hAPP(c_InductTermi_OIT,v_u____))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))) ),
inference(instantiation,[status(thm)],[581]) ).
cnf(592,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(cnf,[status(esa)],[cls_CHAINED_0_02]) ).
cnf(l4,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
inference(instantiation,[status(thm)],[592]) ).
cnf(590,plain,
c_Type_Otyping(v_e____,v_u____,v_T____),
inference(cnf,[status(esa)],[cls_CHAINED_0]) ).
cnf(l2,plain,
c_Type_Otyping(v_e____,v_u____,v_T____),
inference(instantiation,[status(thm)],[590]) ).
cnf(591,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
inference(cnf,[status(esa)],[cls_CHAINED_0_01]) ).
cnf(l3,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
inference(instantiation,[status(thm)],[591]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL836-1 : 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
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 17:15:39 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.39 % launching worker at depth: 2
% 0.13/0.39 % launching worker at depth: 6
% 0.13/0.39 % launching worker at depth: 8
% 0.13/0.39 % launching worker at depth: 4
% 0.13/0.39 % launching worker at depth: 5
% 0.13/0.39 % launching worker at depth: 7
% 0.13/0.39 % launching worker at depth: 1
% 0.13/0.39 % launching worker at depth: 3
% 0.13/0.39 % launching worker at depth: 9
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------