%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL826-1 : 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 : n009.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 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL826-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:06:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f355,axiom,(
% 0.10/0.42 (![V_u,V_ia,V_ea,V_T_H]: (( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),V_u),V_ia)))| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_ea),V_u),v_T____))| ~ hBOOL(hAPP(c_InductTermi_OIT,V_u))| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_ea),V_ia),v_T____)),v_a____),V_T_H)) ) ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f387,negated_conjecture,(
% 0.10/0.42 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa)) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f388,negated_conjecture,(
% 0.10/0.42 hBOOL(hAPP(c_InductTermi_OIT,v_xb)) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f389,negated_conjecture,(
% 0.10/0.42 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f390,negated_conjecture,(
% 0.10/0.42 ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f935,plain,(
% 0.10/0.42 ![V_ia,V_ea]: ((![V_u]: ((hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),V_u),V_ia)))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,V_ea),V_u),v_T____)))|~hBOOL(hAPP(c_InductTermi_OIT,V_u))))|(![V_T_H]: ~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),V_ea),V_ia),v_T____)),v_a____),V_T_H))))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f355])).
% 0.10/0.42 fof(f936,plain,(
% 0.10/0.42 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X1)))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),v_T____))|~hBOOL(hAPP(c_InductTermi_OIT,X0))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X1),v_T____)),v_a____),X3)))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f935])).
% 0.10/0.42 fof(f978,plain,(
% 0.10/0.42 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f387])).
% 0.10/0.42 fof(f979,plain,(
% 0.10/0.42 hBOOL(hAPP(c_InductTermi_OIT,v_xb))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f388])).
% 0.10/0.42 fof(f980,plain,(
% 0.10/0.42 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f389])).
% 0.10/0.42 fof(f981,plain,(
% 0.10/0.42 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc)))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f390])).
% 0.10/0.42 fof(f1024,plain,(
% 0.10/0.42 ![X0,X1]: (~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),v_xb),v_T____))|~hBOOL(hAPP(c_InductTermi_OIT,v_xb))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),v_xc),v_T____)),v_a____),X1)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f936,f981])).
% 0.10/0.42 fof(f1025,plain,(
% 0.10/0.42 ![X0,X1]: (~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),v_xb),v_T____))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),v_xc),v_T____)),v_a____),X1)))),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1024,f979])).
% 0.10/0.42 fof(f1035,plain,(
% 0.10/0.42 ![X0]: (~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),X0)))),
% 0.10/0.42 inference(resolution,[status(thm)],[f1025,f980])).
% 0.10/0.42 fof(f1038,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(backward_subsumption_resolution,[status(thm)],[f978,f1035])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.085220 seconds
% 0.10/0.45 % CPU time: 0.217237 seconds
% 0.10/0.45 % Total memory used: 123.570 MB
% 0.10/0.45 % Net memory used: 123.323 MB
%------------------------------------------------------------------------------