%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL794-1 : 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 : n019.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 01:11:08 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL794-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 01:04:49 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f393,axiom,(
% 0.13/0.44 c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f395,axiom,(
% 0.13/0.44 v_T____ = 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)) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f396,axiom,(
% 0.13/0.44 (![V_e,V_i,V_U,V_t,V_T]: (( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T)| ~ c_Type_Otyping(V_e,V_t,V_T) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f400,axiom,(
% 0.13/0.44 (![V_env,V_s,V_t,V_U,V_T]: (( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)| ~ c_Type_Otyping(V_env,V_t,V_T)| ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f405,axiom,(
% 0.13/0.44 (![V_e,V_x,V_T,T_a]: (hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f408,axiom,(
% 0.13/0.44 (![V_env,V_x]: (c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f410,negated_conjecture,(
% 0.13/0.44 ~ 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)) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f1042,plain,(
% 0.13/0.44 c_Type_Otyping(v_e____,v_u____,v_T____)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f393])).
% 0.13/0.44 fof(f1044,plain,(
% 0.13/0.44 v_T____=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))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f395])).
% 0.13/0.44 fof(f1045,plain,(
% 0.13/0.44 ![V_e,V_t,V_T]: ((![V_i,V_U]: c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T))|~c_Type_Otyping(V_e,V_t,V_T))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f396])).
% 0.13/0.44 fof(f1046,plain,(
% 0.13/0.44 ![X0,X1,X2,X3,X4]: (c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)|~c_Type_Otyping(X0,X3,X4))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f1045])).
% 0.13/0.44 fof(f1052,plain,(
% 0.13/0.44 ![V_env,V_s,V_U,V_T]: ((![V_t]: (c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U)|~c_Type_Otyping(V_env,V_t,V_T)))|~c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f400])).
% 0.13/0.44 fof(f1053,plain,(
% 0.13/0.44 ![X0,X1,X2,X3,X4]: (c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)|~c_Type_Otyping(X0,X2,X4)|~c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3)))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f1052])).
% 0.13/0.44 fof(f1060,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (hAPP(c_Type_Oshift(X0,X1,X2,X3),X1)=X2)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f405])).
% 0.13/0.44 fof(f1063,plain,(
% 0.13/0.44 ![X0,X1]: (c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f408])).
% 0.13/0.44 fof(f1065,plain,(
% 0.13/0.44 ~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))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f410])).
% 0.13/0.44 fof(f1187,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (c_Type_Otyping(c_Type_Oshift(X0,X1,X2,X3),c_Lambda_OdB_OVar(X1),X2))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f1060,f1063])).
% 0.13/0.44 fof(f1216,plain,(
% 0.13/0.44 ![X0]: (~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)),X0)|~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,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1053,f1065])).
% 0.13/0.44 fof(f1283,plain,(
% 0.13/0.44 ~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)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f1216,f1187])).
% 0.13/0.44 fof(f1285,plain,(
% 0.13/0.44 ~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)),v_T____)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f1044,f1283])).
% 0.13/0.44 fof(f1288,plain,(
% 0.13/0.44 ~c_Type_Otyping(v_e____,v_u____,v_T____)),
% 0.13/0.44 inference(resolution,[status(thm)],[f1285,f1046])).
% 0.13/0.44 fof(f1289,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1288,f1042])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.092815 seconds
% 0.13/0.46 % CPU time: 0.266370 seconds
% 0.13/0.46 % Total memory used: 123.451 MB
% 0.13/0.46 % Net memory used: 123.217 MB
%------------------------------------------------------------------------------