%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL818-1 : 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 : n020.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 11.79s 1.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL818-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:07:02 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 11.79/1.95 % Refutation found
% 11.79/1.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.79/1.95 % SZS output start CNFRefutation for theBenchmark
% 11.79/1.95 fof(f329,axiom,(
% 11.79/1.95 (![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)) ) ))),
% 11.79/1.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.79/1.95 fof(f333,axiom,(
% 11.79/1.95 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))) ),
% 11.79/1.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.79/1.95 fof(f339,axiom,(
% 11.79/1.95 v_n____ = v_i____ ),
% 11.79/1.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.79/1.95 fof(f373,axiom,(
% 11.79/1.95 c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____) ),
% 11.79/1.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.79/1.95 fof(f375,negated_conjecture,(
% 11.79/1.95 ~ c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_i____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 11.79/1.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.79/1.95 fof(f904,plain,(
% 11.79/1.95 ![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)))),
% 11.79/1.95 inference(miniscoping,[status(thm)],[f329])).
% 11.79/1.95 fof(f905,plain,(
% 11.79/1.95 ![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)))),
% 11.79/1.95 inference(cnf_transformation,[status(thm)],[f904])).
% 11.79/1.95 fof(f912,plain,(
% 11.79/1.95 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)))),
% 11.79/1.95 inference(cnf_transformation,[status(thm)],[f333])).
% 11.79/1.95 fof(f920,plain,(
% 11.79/1.95 v_n____=v_i____),
% 11.79/1.95 inference(cnf_transformation,[status(thm)],[f339])).
% 11.79/1.95 fof(f962,plain,(
% 11.79/1.95 c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____)),
% 11.79/1.95 inference(cnf_transformation,[status(thm)],[f373])).
% 11.79/1.95 fof(f964,plain,(
% 11.79/1.95 ~c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_i____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
% 11.79/1.95 inference(cnf_transformation,[status(thm)],[f375])).
% 11.79/1.95 fof(f992,plain,(
% 11.79/1.95 c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_n____),v_T_H_H____)),
% 11.79/1.95 inference(backward_demodulation,[status(thm)],[f920,f962])).
% 11.79/1.95 fof(f993,plain,(
% 11.79/1.95 ~c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_n____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
% 11.79/1.95 inference(backward_demodulation,[status(thm)],[f920,f964])).
% 11.79/1.95 fof(f1099,plain,(
% 11.79/1.95 ![X0]: (~c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_n____),X0)|~c_Type_Otyping(v_e____,v_u____,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))))),
% 11.79/1.95 inference(resolution,[status(thm)],[f993,f905])).
% 11.79/1.95 fof(f15961,plain,(
% 11.79/1.95 ~c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_n____),v_T_H_H____)),
% 11.79/1.95 inference(resolution,[status(thm)],[f912,f1099])).
% 11.79/1.95 fof(f15965,plain,(
% 11.79/1.95 $false),
% 11.79/1.95 inference(forward_subsumption_resolution,[status(thm)],[f15961,f992])).
% 11.79/1.95 % SZS output end CNFRefutation for theBenchmark.p
% 11.79/1.99 % Elapsed time: 1.617976 seconds
% 11.79/1.99 % CPU time: 12.326983 seconds
% 11.79/1.99 % Total memory used: 330.258 MB
% 11.79/1.99 % Net memory used: 322.868 MB
%------------------------------------------------------------------------------