%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL816-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Thu Sep 24 01:11:11 PM UTC 2026
% Result : Unsatisfiable 125.94s 16.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL816-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.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 : Mon Sep 21 01:05:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.40 % Drodi V4.1.1
% 125.94/16.37 % Refutation found
% 125.94/16.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 125.94/16.37 % SZS output start CNFRefutation for theBenchmark
% 125.94/16.37 fof(f387,axiom,(
% 125.94/16.37 v_n____ = v_i____ ),
% 125.94/16.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 125.94/16.37 fof(f445,axiom,(
% 125.94/16.37 (![V_e,V_t,V_ts,V_T,V_Ts]: (( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)| ~ c_Type_Otypings(V_e,V_ts,V_Ts)| ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ))),
% 125.94/16.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 125.94/16.37 fof(f465,axiom,(
% 125.94/16.37 (![V_e,V_x,V_T,T_a]: (hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ))),
% 125.94/16.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 125.94/16.37 fof(f470,axiom,(
% 125.94/16.37 (![V_env,V_x]: (c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ))),
% 125.94/16.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 125.94/16.37 fof(f475,axiom,(
% 125.94/16.37 c_Type_Otypings(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____) ),
% 125.94/16.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 125.94/16.37 fof(f477,negated_conjecture,(
% 125.94/16.37 ~ c_Type_Otyping(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 125.94/16.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 125.94/16.37 fof(f1085,plain,(
% 125.94/16.37 v_n____=v_i____),
% 125.94/16.37 inference(cnf_transformation,[status(thm)],[f387])).
% 125.94/16.37 fof(f1168,plain,(
% 125.94/16.37 ![V_e,V_t,V_T,V_Ts]: ((![V_ts]: (c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T)|~c_Type_Otypings(V_e,V_ts,V_Ts)))|~c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)))),
% 125.94/16.37 inference(miniscoping,[status(thm)],[f445])).
% 125.94/16.37 fof(f1169,plain,(
% 125.94/16.37 ![X0,X1,X2,X3,X4]: (c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)|~c_Type_Otypings(X0,X2,X4)|~c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype)))),
% 125.94/16.37 inference(cnf_transformation,[status(thm)],[f1168])).
% 125.94/16.37 fof(f1200,plain,(
% 125.94/16.37 ![X0,X1,X2,X3]: (hAPP(c_Type_Oshift(X0,X1,X2,X3),X1)=X2)),
% 125.94/16.37 inference(cnf_transformation,[status(thm)],[f465])).
% 125.94/16.37 fof(f1205,plain,(
% 125.94/16.37 ![X0,X1]: (c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)))),
% 125.94/16.37 inference(cnf_transformation,[status(thm)],[f470])).
% 125.94/16.37 fof(f1212,plain,(
% 125.94/16.37 c_Type_Otypings(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____)),
% 125.94/16.37 inference(cnf_transformation,[status(thm)],[f475])).
% 125.94/16.37 fof(f1214,plain,(
% 125.94/16.37 ~c_Type_Otyping(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)),
% 125.94/16.51 inference(cnf_transformation,[status(thm)],[f477])).
% 125.94/16.51 fof(f1250,plain,(
% 125.94/16.51 ~c_Type_Otyping(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)),
% 125.94/16.51 inference(backward_demodulation,[status(thm)],[f1085,f1214])).
% 125.94/16.51 fof(f1306,plain,(
% 125.94/16.51 ![X0,X1,X2,X3]: (c_Type_Otyping(c_Type_Oshift(X0,X1,X2,X3),c_Lambda_OdB_OVar(X1),X2))),
% 125.94/16.51 inference(paramodulation,[status(thm)],[f1200,f1205])).
% 125.94/16.51 fof(f1557,plain,(
% 125.94/16.51 c_Type_Otypings(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____)),
% 125.94/16.51 inference(forward_demodulation,[status(thm)],[f1085,f1212])).
% 125.94/16.51 fof(f28001,plain,(
% 125.94/16.51 ![X0,X1]: (c_Type_Otyping(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),X1)|~c_Type_Otyping(c_Type_Oshift(v_e____,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),tc_Type_Otype),X0,c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,X1,tc_Type_Otype,tc_Type_Otype)))),
% 125.94/16.51 inference(resolution,[status(thm)],[f1169,f1557])).
% 125.94/16.51 fof(f79673,plain,(
% 125.94/16.51 c_Type_Otyping(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)),
% 125.94/16.51 inference(resolution,[status(thm)],[f28001,f1306])).
% 125.94/16.51 fof(f79680,plain,(
% 125.94/16.51 $false),
% 125.94/16.51 inference(forward_subsumption_resolution,[status(thm)],[f79673,f1250])).
% 125.94/16.51 % SZS output end CNFRefutation for theBenchmark.p
% 31.73/16.60 % Elapsed time: 16.221616 seconds
% 31.73/16.60 % CPU time: 127.795062 seconds
% 31.73/16.60 % Total memory used: 1.307 GB
% 31.73/16.60 % Net memory used: 1.252 GB
%------------------------------------------------------------------------------