%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL849-1 : 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 : n015.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 01:11:15 PM UTC 2026
% Result : Unsatisfiable 0.23s 5.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.50 % Computer : n015.cluster.edu
% 0.18/5.50 % Model : x86_64 x86_64
% 0.18/5.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.50 % Memory : 8046.5625MB
% 0.18/5.50 % OS : Linux 6.8.0-71-generic
% 0.18/5.50 % CPULimit : 300
% 0.18/5.50 % WCLimit : 300
% 0.18/5.50 % DateTime : Mon Sep 21 01:11:26 UTC 2026
% 0.18/5.50 % CPUTime :
% 0.18/5.58 % Drodi V4.1.1
% 0.23/5.67 % Refutation found
% 0.23/5.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/5.67 % SZS output start CNFRefutation for theBenchmark
% 0.23/5.67 fof(f650,axiom,(
% 0.23/5.67 (![V_f,V_a,T_b,T_a]: (c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ))),
% 0.23/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.67 fof(f653,axiom,(
% 0.23/5.67 (![V_f,V_a,V_x,V_xs,T_b,T_a]: (c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ))),
% 0.23/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.67 fof(f661,negated_conjecture,(
% 0.23/5.67 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 0.23/5.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.67 fof(f1684,plain,(
% 0.23/5.67 ![X0,X1,X2,X3]: (c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2)=X1)),
% 0.23/5.67 inference(cnf_transformation,[status(thm)],[f650])).
% 0.23/5.67 fof(f1687,plain,(
% 0.23/5.67 ![X0,X1,X2,X3,X4,X5]: (c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,X3,X4),X5,X4)=c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4))),
% 0.23/5.67 inference(cnf_transformation,[status(thm)],[f653])).
% 0.23/5.67 fof(f1697,plain,(
% 0.23/5.67 ~c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 0.23/5.67 inference(cnf_transformation,[status(thm)],[f661])).
% 0.23/5.67 fof(f1846,plain,(
% 0.23/5.67 ![X0,X1,X2,X3,X4]: (c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X4,X3)=hAPP(hAPP(X0,X1),X2))),
% 0.23/5.67 inference(paramodulation,[status(thm)],[f1684,f1687])).
% 0.23/5.67 fof(f1865,plain,(
% 0.23/5.67 ~hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))=hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 0.23/5.67 inference(backward_demodulation,[status(thm)],[f1846,f1697])).
% 0.23/5.67 fof(f1878,plain,(
% 0.23/5.67 $false),
% 0.23/5.67 inference(trivial_equality_resolution,[status(thm)],[f1865])).
% 0.23/5.67 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.72 % Elapsed time: 0.198504 seconds
% 0.23/5.72 % CPU time: 0.624145 seconds
% 0.23/5.72 % Total memory used: 126.645 MB
% 0.23/5.72 % Net memory used: 126.253 MB
%------------------------------------------------------------------------------