%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL784-1 : 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 : n017.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 0.25s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL784-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n017.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 00:59:11 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.25/0.49 % Drodi V4.1.1
% 0.25/0.53 % Refutation found
% 0.25/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.25/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.25/0.53 fof(f221,axiom,(
% 0.25/0.53 (![V_k,V_u]: (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ))),
% 0.25/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.53 fof(f245,axiom,(
% 0.25/0.53 (![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 ))),
% 0.25/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.53 fof(f248,axiom,(
% 0.25/0.53 v_n____ = v_i____ ),
% 0.25/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.53 fof(f274,axiom,(
% 0.25/0.53 v_rs____ = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 0.25/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.53 fof(f283,axiom,(
% 0.25/0.53 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 0.25/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.53 fof(f297,negated_conjecture,(
% 0.25/0.53 ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))) ),
% 0.25/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.53 fof(f658,plain,(
% 0.25/0.53 ![X0,X1]: (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0)=X1)),
% 0.25/0.53 inference(cnf_transformation,[status(thm)],[f221])).
% 0.25/0.53 fof(f700,plain,(
% 0.25/0.53 ![X0,X1,X2,X3]: (c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2)=X1)),
% 0.25/0.53 inference(cnf_transformation,[status(thm)],[f245])).
% 0.25/0.53 fof(f703,plain,(
% 0.25/0.53 v_n____=v_i____),
% 0.25/0.53 inference(cnf_transformation,[status(thm)],[f248])).
% 0.25/0.53 fof(f736,plain,(
% 0.25/0.53 v_rs____=c_List_Olist_ONil(tc_Lambda_OdB)),
% 0.25/0.53 inference(cnf_transformation,[status(thm)],[f274])).
% 0.25/0.53 fof(f750,plain,(
% 0.25/0.53 hBOOL(hAPP(c_InductTermi_OIT,v_u____))),
% 0.25/0.53 inference(cnf_transformation,[status(thm)],[f283])).
% 0.25/0.53 fof(f766,plain,(
% 0.25/0.53 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)))),
% 0.25/0.53 inference(cnf_transformation,[status(thm)],[f297])).
% 0.25/0.53 fof(f790,plain,(
% 0.25/0.53 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____)))),
% 0.25/0.53 inference(backward_demodulation,[status(thm)],[f703,f766])).
% 0.25/0.53 fof(f1289,plain,(
% 0.25/0.53 ![X0,X1,X2]: (c_List_Ofoldl(X0,X1,v_rs____,X2,tc_Lambda_OdB)=X1)),
% 0.25/0.53 inference(paramodulation,[status(thm)],[f736,f700])).
% 0.25/0.53 fof(f1329,plain,(
% 0.25/0.53 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_i____)),v_u____),v_i____)))),
% 0.25/0.53 inference(backward_demodulation,[status(thm)],[f1289,f790])).
% 0.25/0.53 fof(f1346,plain,(
% 0.25/0.53 ~hBOOL(hAPP(c_InductTermi_OIT,v_u____))),
% 0.25/0.53 inference(forward_demodulation,[status(thm)],[f658,f1329])).
% 0.25/0.53 fof(f1347,plain,(
% 0.25/0.53 $false),
% 0.25/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1346,f750])).
% 0.25/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.55 % Elapsed time: 0.100553 seconds
% 0.25/0.55 % CPU time: 0.299438 seconds
% 0.25/0.55 % Total memory used: 64.920 MB
% 0.25/0.55 % Net memory used: 64.754 MB
%------------------------------------------------------------------------------