%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL778-1 : 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 : n002.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 01:11:06 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL778-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n002.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 01:06:16 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.27/0.55 % Drodi V4.1.1
% 0.27/0.58 % Refutation found
% 0.27/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.27/0.58 fof(f517,negated_conjecture,(
% 0.27/0.58 hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))) ),
% 0.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.58 fof(f520,negated_conjecture,(
% 0.27/0.58 ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i)))) ),
% 0.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.27/0.58 fof(f1374,plain,(
% 0.27/0.58 hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))),
% 0.27/0.58 inference(cnf_transformation,[status(thm)],[f517])).
% 0.27/0.58 fof(f1377,plain,(
% 0.27/0.58 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_i))))),
% 0.27/0.58 inference(cnf_transformation,[status(thm)],[f520])).
% 0.27/0.58 fof(f1411,plain,(
% 0.27/0.58 $false),
% 0.27/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1377,f1374])).
% 0.27/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.63 % Elapsed time: 0.167954 seconds
% 0.27/0.63 % CPU time: 0.185939 seconds
% 0.27/0.63 % Total memory used: 20.230 MB
% 0.27/0.63 % Net memory used: 20.177 MB
%------------------------------------------------------------------------------