%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL806-1 : 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 : n002.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 01:11:10 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL806-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n002.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 01:08:02 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f353,axiom,(
% 0.13/0.43 (![V_u,V_ia,V_ea,V_T_H]: (( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),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_b____),V_T_H)) ) ))),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f385,negated_conjecture,(
% 0.13/0.43 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f386,negated_conjecture,(
% 0.13/0.43 hBOOL(hAPP(c_InductTermi_OIT,v_xb)) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f387,negated_conjecture,(
% 0.13/0.43 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f388,negated_conjecture,(
% 0.13/0.43 ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))) ),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f931,plain,(
% 0.13/0.43 ![V_ia,V_ea]: ((![V_u]: ((hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),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_b____),V_T_H))))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f353])).
% 0.13/0.43 fof(f932,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),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_b____),X3)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f931])).
% 0.13/0.43 fof(f974,plain,(
% 0.13/0.43 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f385])).
% 0.13/0.43 fof(f975,plain,(
% 0.13/0.43 hBOOL(hAPP(c_InductTermi_OIT,v_xb))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f386])).
% 0.13/0.43 fof(f976,plain,(
% 0.13/0.43 hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f387])).
% 0.13/0.43 fof(f977,plain,(
% 0.13/0.43 ~hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f388])).
% 0.13/0.43 fof(f1019,plain,(
% 0.13/0.43 ![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_b____),X1)))),
% 0.13/0.43 inference(resolution,[status(thm)],[f932,f977])).
% 0.13/0.43 fof(f1020,plain,(
% 0.13/0.43 ![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_b____),X1)))),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1019,f975])).
% 0.13/0.43 fof(f1031,plain,(
% 0.13/0.43 ![X0]: (~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),X0)))),
% 0.13/0.43 inference(resolution,[status(thm)],[f1020,f976])).
% 0.13/0.43 fof(f1034,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(backward_subsumption_resolution,[status(thm)],[f974,f1031])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.091240 seconds
% 0.13/0.45 % CPU time: 0.256408 seconds
% 0.13/0.45 % Total memory used: 124.326 MB
% 0.13/0.45 % Net memory used: 124.092 MB
%------------------------------------------------------------------------------