%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL763-1 : 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 : n001.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 01:11:04 PM UTC 2026
% Result : Unsatisfiable 49.34s 6.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL763-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n001.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 01:07:43 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 49.34/6.73 % Refutation found
% 49.34/6.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 49.34/6.73 % SZS output start CNFRefutation for theBenchmark
% 49.34/6.73 fof(f198,axiom,(
% 49.34/6.73 (![V_A,T_a]: (c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ))),
% 49.34/6.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.34/6.73 fof(f386,axiom,(
% 49.34/6.73 (![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) ) ))),
% 49.34/6.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.34/6.73 fof(f396,axiom,(
% 49.34/6.73 (![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 ))),
% 49.34/6.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.34/6.73 fof(f401,negated_conjecture,(
% 49.34/6.73 ~ 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))) ),
% 49.34/6.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 49.34/6.73 fof(f714,plain,(
% 49.34/6.73 ![X0,X1]: (c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1))),
% 49.34/6.73 inference(cnf_transformation,[status(thm)],[f198])).
% 49.34/6.73 fof(f999,plain,(
% 49.34/6.73 ![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))),
% 49.34/6.73 inference(miniscoping,[status(thm)],[f386])).
% 49.34/6.73 fof(f1000,plain,(
% 49.34/6.73 ![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))),
% 49.34/6.73 inference(cnf_transformation,[status(thm)],[f999])).
% 49.34/6.73 fof(f1015,plain,(
% 49.34/6.73 ![X0,X1,X2,X3]: (c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2)=X1)),
% 49.34/6.73 inference(cnf_transformation,[status(thm)],[f396])).
% 49.34/6.73 fof(f1022,plain,(
% 49.34/6.73 ~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)))),
% 49.34/6.73 inference(cnf_transformation,[status(thm)],[f401])).
% 49.34/6.73 fof(f1051,plain,(
% 49.34/6.73 ~hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n)))),
% 49.34/6.73 inference(backward_demodulation,[status(thm)],[f1015,f1022])).
% 49.34/6.73 fof(f28939,plain,(
% 49.34/6.73 ![X0]: (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))))),
% 49.34/6.73 inference(resolution,[status(thm)],[f1000,f714])).
% 49.34/6.73 fof(f28940,plain,(
% 49.34/6.73 ![X0]: (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))))),
% 49.34/6.73 inference(forward_demodulation,[status(thm)],[f1015,f28939])).
% 49.34/6.73 fof(f29006,plain,(
% 49.34/6.73 $false),
% 49.34/6.73 inference(backward_subsumption_resolution,[status(thm)],[f1051,f28940])).
% 49.34/6.73 % SZS output end CNFRefutation for theBenchmark.p
% 8.06/6.78 % Elapsed time: 6.412357 seconds
% 8.06/6.78 % CPU time: 50.404343 seconds
% 8.06/6.78 % Total memory used: 720.686 MB
% 8.06/6.78 % Net memory used: 700.434 MB
%------------------------------------------------------------------------------