%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL773-1 : 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 : n015.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 01:11:05 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL773-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 01:06:35 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.44 % Drodi V4.1.1
% 0.21/0.49 % Refutation found
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.49 fof(f1060,axiom,(
% 0.21/0.49 (![V_r,V_i,V_j]: (( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j))| ~ c_InductTermi_OIT(V_r) ) ))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.49 fof(f1066,negated_conjecture,(
% 0.21/0.49 c_InductTermi_OIT(v_r) ),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.49 fof(f1068,negated_conjecture,(
% 0.21/0.49 ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.49 fof(f2785,plain,(
% 0.21/0.49 ![V_r]: ((![V_i,V_j]: c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)))|~c_InductTermi_OIT(V_r))),
% 0.21/0.49 inference(miniscoping,[status(thm)],[f1060])).
% 0.21/0.49 fof(f2786,plain,(
% 0.21/0.49 ![X0,X1,X2]: (c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))|~c_InductTermi_OIT(X0))),
% 0.21/0.49 inference(cnf_transformation,[status(thm)],[f2785])).
% 0.21/0.49 fof(f2794,plain,(
% 0.21/0.49 c_InductTermi_OIT(v_r)),
% 0.21/0.49 inference(cnf_transformation,[status(thm)],[f1066])).
% 0.21/0.49 fof(f2796,plain,(
% 0.21/0.49 ~c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 0.21/0.49 inference(cnf_transformation,[status(thm)],[f1068])).
% 0.21/0.49 fof(f2867,plain,(
% 0.21/0.49 ![X0,X1]: (c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(X0),X1)))),
% 0.21/0.49 inference(resolution,[status(thm)],[f2786,f2794])).
% 0.21/0.49 fof(f2869,plain,(
% 0.21/0.49 $false),
% 0.21/0.49 inference(backward_subsumption_resolution,[status(thm)],[f2796,f2867])).
% 0.21/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.52 % Elapsed time: 0.148349 seconds
% 0.21/0.52 % CPU time: 0.336014 seconds
% 0.21/0.52 % Total memory used: 158.242 MB
% 0.21/0.52 % Net memory used: 157.404 MB
%------------------------------------------------------------------------------