%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL848-1 : 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 : n014.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 30.37s 9.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL848-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n014.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 01:08:09 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.16/5.46 % Drodi V4.1.1
% 30.37/9.36 % Refutation found
% 30.37/9.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 30.37/9.36 % SZS output start CNFRefutation for theBenchmark
% 30.37/9.36 fof(f627,axiom,(
% 30.37/9.36 (![V_n,V_rs]: (( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)))| ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ))),
% 30.37/9.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.37/9.36 fof(f644,axiom,(
% 30.37/9.36 (![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 ))),
% 30.37/9.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.37/9.36 fof(f649,axiom,(
% 30.37/9.36 (![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) ))),
% 30.37/9.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.37/9.36 fof(f658,axiom,(
% 30.37/9.36 c_List_Olistsp(c_InductTermi_OIT,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) ),
% 30.37/9.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.37/9.36 fof(f659,negated_conjecture,(
% 30.37/9.36 ~ hBOOL(hAPP(c_InductTermi_OIT,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))) ),
% 30.37/9.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 30.37/9.36 fof(f1648,plain,(
% 30.37/9.36 ![V_rs]: ((![V_n]: hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB))))|~c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB))),
% 30.37/9.36 inference(miniscoping,[status(thm)],[f627])).
% 30.37/9.36 fof(f1649,plain,(
% 30.37/9.36 ![X0,X1]: (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))|~c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB))),
% 30.37/9.36 inference(cnf_transformation,[status(thm)],[f1648])).
% 30.37/9.36 fof(f1675,plain,(
% 30.37/9.36 ![X0,X1,X2,X3]: (c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2)=X1)),
% 30.37/9.36 inference(cnf_transformation,[status(thm)],[f644])).
% 30.37/9.36 fof(f1680,plain,(
% 30.37/9.36 ![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))),
% 30.37/9.36 inference(cnf_transformation,[status(thm)],[f649])).
% 30.37/9.36 fof(f1692,plain,(
% 30.37/9.36 c_List_Olistsp(c_InductTermi_OIT,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)),
% 30.37/9.36 inference(cnf_transformation,[status(thm)],[f658])).
% 30.37/9.36 fof(f1693,plain,(
% 30.37/9.36 ~hBOOL(hAPP(c_InductTermi_OIT,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)))),
% 30.37/9.36 inference(cnf_transformation,[status(thm)],[f659])).
% 30.37/9.36 fof(f2006,plain,(
% 30.37/9.36 ![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))),
% 30.37/9.36 inference(paramodulation,[status(thm)],[f1675,f1680])).
% 30.37/9.36 fof(f2022,plain,(
% 30.37/9.36 ~hBOOL(hAPP(c_InductTermi_OIT,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)))))),
% 30.37/9.36 inference(backward_demodulation,[status(thm)],[f2006,f1693])).
% 30.37/9.36 fof(f11077,plain,(
% 30.37/9.36 ![X0]: (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),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))))),
% 30.37/9.36 inference(resolution,[status(thm)],[f1649,f1692])).
% 30.37/9.36 fof(f11080,plain,(
% 30.37/9.36 ![X0]: (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0)),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))))))),
% 30.37/9.36 inference(forward_demodulation,[status(thm)],[f2006,f11077])).
% 30.37/9.36 fof(f11081,plain,(
% 30.37/9.36 $false),
% 30.37/9.36 inference(backward_subsumption_resolution,[status(thm)],[f2022,f11080])).
% 17.97/9.43 % SZS output end CNFRefutation for theBenchmark.p
% 17.97/9.45 % Elapsed time: 4.048165 seconds
% 17.97/9.45 % CPU time: 31.277715 seconds
% 17.97/9.45 % Total memory used: 347.547 MB
% 17.97/9.45 % Net memory used: 334.786 MB
%------------------------------------------------------------------------------