%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL793-1 : 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 : n018.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 01:11:08 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL793-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n018.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 01:06:43 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.26/0.53 % Drodi V4.1.1
% 0.26/0.61 % Refutation found
% 0.26/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.26/0.61 fof(f1063,axiom,(
% 0.26/0.61 (![V_t,V_i]: (( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))| ~ c_InductTermi_OIT(V_t) ) ))),
% 0.26/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.26/0.61 fof(f1066,axiom,(
% 0.26/0.61 c_InductTermi_OIT(v_u____) ),
% 0.26/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.26/0.61 fof(f1067,axiom,(
% 0.26/0.61 (![V_t,V_i]: (( c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i)))| ~ c_InductTermi_OIT(V_t) ) ))),
% 0.26/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.26/0.61 fof(f1070,negated_conjecture,(
% 0.26/0.61 ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 0.26/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.26/0.61 fof(f2792,plain,(
% 0.26/0.61 ![V_t]: ((![V_i]: c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)))|~c_InductTermi_OIT(V_t))),
% 0.26/0.61 inference(miniscoping,[status(thm)],[f1063])).
% 0.26/0.61 fof(f2793,plain,(
% 0.26/0.61 ![X0,X1]: (c_InductTermi_OIT(c_Lambda_Olift(X0,X1))|~c_InductTermi_OIT(X0))),
% 0.26/0.61 inference(cnf_transformation,[status(thm)],[f2792])).
% 0.26/0.61 fof(f2796,plain,(
% 0.26/0.61 c_InductTermi_OIT(v_u____)),
% 0.26/0.61 inference(cnf_transformation,[status(thm)],[f1066])).
% 0.26/0.61 fof(f2797,plain,(
% 0.26/0.61 ![V_t]: ((![V_i]: c_InductTermi_OIT(c_Lambda_OdB_OApp(V_t,c_Lambda_OdB_OVar(V_i))))|~c_InductTermi_OIT(V_t))),
% 0.26/0.61 inference(miniscoping,[status(thm)],[f1067])).
% 0.26/0.61 fof(f2798,plain,(
% 0.26/0.61 ![X0,X1]: (c_InductTermi_OIT(c_Lambda_OdB_OApp(X0,c_Lambda_OdB_OVar(X1)))|~c_InductTermi_OIT(X0))),
% 0.26/0.61 inference(cnf_transformation,[status(thm)],[f2797])).
% 0.26/0.61 fof(f2801,plain,(
% 0.26/0.61 ~c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))))),
% 0.26/0.61 inference(cnf_transformation,[status(thm)],[f1070])).
% 0.26/0.61 fof(f2840,plain,(
% 0.26/0.61 ![X0]: (c_InductTermi_OIT(c_Lambda_Olift(v_u____,X0)))),
% 0.26/0.61 inference(resolution,[status(thm)],[f2793,f2796])).
% 0.26/0.61 fof(f2848,plain,(
% 0.26/0.61 ![X0,X1]: (c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,X0),c_Lambda_OdB_OVar(X1))))),
% 0.26/0.61 inference(resolution,[status(thm)],[f2798,f2840])).
% 0.26/0.61 fof(f2887,plain,(
% 0.26/0.61 $false),
% 0.26/0.61 inference(backward_subsumption_resolution,[status(thm)],[f2801,f2848])).
% 0.26/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.62 % Elapsed time: 0.193491 seconds
% 0.26/0.62 % CPU time: 0.470971 seconds
% 0.26/0.62 % Total memory used: 118.979 MB
% 0.26/0.62 % Net memory used: 118.404 MB
%------------------------------------------------------------------------------