%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL762-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:11:03 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL762-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:01:57 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f396,axiom,(
% 0.13/0.42 (![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 ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f401,negated_conjecture,(
% 0.13/0.42 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f402,negated_conjecture,(
% 0.13/0.42 ~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f1016,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2)=X1)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f396])).
% 0.13/0.42 fof(f1023,plain,(
% 0.13/0.42 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f401])).
% 0.13/0.42 fof(f1024,plain,(
% 0.13/0.42 ~hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f402])).
% 0.13/0.42 fof(f1049,plain,(
% 0.13/0.42 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n)))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1016,f1023])).
% 0.13/0.42 fof(f1050,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1049,f1024])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.089754 seconds
% 0.13/0.46 % CPU time: 0.208690 seconds
% 0.13/0.46 % Total memory used: 122.238 MB
% 0.13/0.46 % Net memory used: 121.995 MB
%------------------------------------------------------------------------------