%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL825-1 : 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 01:11:12 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL825-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:06:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.40 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.42 fof(f448,axiom,(
% 0.14/0.42 (![V_A,T_a]: (c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ))),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f450,axiom,(
% 0.14/0.42 (![V_f,T_b,T_a]: (c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ))),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f453,negated_conjecture,(
% 0.14/0.42 ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f1146,plain,(
% 0.14/0.42 ![X0,X1]: (c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f448])).
% 0.14/0.42 fof(f1148,plain,(
% 0.14/0.42 ![X0,X1,X2]: (c_List_Omap(X0,c_List_Olist_ONil(X1),X1,X2)=c_List_Olist_ONil(X2))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f450])).
% 0.14/0.42 fof(f1151,plain,(
% 0.14/0.42 ~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f453])).
% 0.14/0.42 fof(f1188,plain,(
% 0.14/0.42 ~c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1148,f1151])).
% 0.14/0.42 fof(f1189,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1188,f1146])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.47 % Elapsed time: 0.098342 seconds
% 0.14/0.47 % CPU time: 0.257161 seconds
% 0.14/0.47 % Total memory used: 123.377 MB
% 0.14/0.47 % Net memory used: 123.131 MB
%------------------------------------------------------------------------------