%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL809-1 : 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 : n008.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 0.23s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL809-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:06:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.44 % Drodi V4.1.1
% 0.23/0.48 % Refutation found
% 0.23/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.48 fof(f1198,axiom,(
% 0.23/0.48 v_n____ = v_i____ ),
% 0.23/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.48 fof(f1199,axiom,(
% 0.23/0.48 (![V_t,V_i]: (( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))| ~ c_InductTermi_OIT(V_t) ) ))),
% 0.23/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.48 fof(f1202,axiom,(
% 0.23/0.48 c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)) ),
% 0.23/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.48 fof(f1203,negated_conjecture,(
% 0.23/0.48 ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 0.23/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.48 fof(f3142,plain,(
% 0.23/0.48 v_n____=v_i____),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f1198])).
% 0.23/0.48 fof(f3143,plain,(
% 0.23/0.48 ![V_t]: ((![V_i]: c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)))|~c_InductTermi_OIT(V_t))),
% 0.23/0.48 inference(miniscoping,[status(thm)],[f1199])).
% 0.23/0.48 fof(f3144,plain,(
% 0.23/0.48 ![X0,X1]: (c_InductTermi_OIT(c_Lambda_Olift(X0,X1))|~c_InductTermi_OIT(X0))),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f3143])).
% 0.23/0.48 fof(f3147,plain,(
% 0.23/0.48 c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____))),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f1202])).
% 0.23/0.48 fof(f3148,plain,(
% 0.23/0.48 ~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f1203])).
% 0.23/0.48 fof(f3197,plain,(
% 0.23/0.48 ~c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____))),
% 0.23/0.48 inference(resolution,[status(thm)],[f3144,f3148])).
% 0.23/0.48 fof(f3206,plain,(
% 0.23/0.48 ~c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_n____))),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f3142,f3197])).
% 0.23/0.48 fof(f3211,plain,(
% 0.23/0.48 c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_n____))),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f3142,f3147])).
% 0.23/0.48 fof(f3212,plain,(
% 0.23/0.48 $false),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f3211,f3206])).
% 0.23/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.52 % Elapsed time: 0.147616 seconds
% 0.23/0.52 % CPU time: 0.330843 seconds
% 0.23/0.52 % Total memory used: 129.343 MB
% 0.23/0.52 % Net memory used: 128.686 MB
%------------------------------------------------------------------------------