%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:11:16 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 01:08:22 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.42 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.50 fof(f563,axiom,(
% 0.20/0.50 (![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) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f567,axiom,(
% 0.20/0.50 (![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)) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f571,axiom,(
% 0.20/0.50 (![V_e,V_x,V_T,T_a]: (hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f574,axiom,(
% 0.20/0.50 c_Type_Otyping(v_ea____,v_ta____,v_Ta____) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f575,axiom,(
% 0.20/0.50 (![V_env,V_x]: (c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f579,negated_conjecture,(
% 0.20/0.50 ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f1483,plain,(
% 0.20/0.50 ![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))),
% 0.20/0.50 inference(miniscoping,[status(thm)],[f563])).
% 0.20/0.50 fof(f1484,plain,(
% 0.20/0.50 ![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))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f1483])).
% 0.20/0.50 fof(f1490,plain,(
% 0.20/0.50 ![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)))),
% 0.20/0.50 inference(miniscoping,[status(thm)],[f567])).
% 0.20/0.50 fof(f1491,plain,(
% 0.20/0.50 ![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)))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f1490])).
% 0.20/0.50 fof(f1497,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (hAPP(c_Type_Oshift(X0,X1,X2,X3),X1)=X2)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f571])).
% 0.20/0.50 fof(f1500,plain,(
% 0.20/0.50 c_Type_Otyping(v_ea____,v_ta____,v_Ta____)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f574])).
% 0.20/0.50 fof(f1501,plain,(
% 0.20/0.50 ![X0,X1]: (c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)))),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f575])).
% 0.20/0.50 fof(f1505,plain,(
% 0.20/0.50 ~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____)),
% 0.20/0.50 inference(cnf_transformation,[status(thm)],[f579])).
% 0.20/0.50 fof(f1540,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (c_Type_Otyping(c_Type_Oshift(X0,X1,X2,X3),c_Lambda_OdB_OVar(X1),X2))),
% 0.20/0.50 inference(paramodulation,[status(thm)],[f1497,f1501])).
% 0.20/0.50 fof(f1759,plain,(
% 0.20/0.50 ![X0]: (~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),X0)|~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,X0),v_U____)))),
% 0.20/0.50 inference(resolution,[status(thm)],[f1491,f1505])).
% 0.20/0.50 fof(f1771,plain,(
% 0.20/0.50 ~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____)),
% 0.20/0.50 inference(resolution,[status(thm)],[f1759,f1540])).
% 0.20/0.51 fof(f1772,plain,(
% 0.20/0.51 ~c_Type_Otyping(v_ea____,v_ta____,v_Ta____)),
% 0.20/0.51 inference(resolution,[status(thm)],[f1771,f1484])).
% 0.20/0.51 fof(f1773,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1772,f1500])).
% 0.20/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.51 % Elapsed time: 0.121035 seconds
% 0.20/0.51 % CPU time: 0.479658 seconds
% 0.20/0.51 % Total memory used: 120.623 MB
% 0.20/0.51 % Net memory used: 120.251 MB
%------------------------------------------------------------------------------