%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL800-1 : 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 : n020.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 01:11:09 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL800-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.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 01:05:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f343,axiom,(
% 0.13/0.42 (![V_t,V_u,V_s,V_k]: (c_Lambda_Osubst(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubst(V_t,V_s,V_k),c_Lambda_Osubst(V_u,V_s,V_k)) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f346,axiom,(
% 0.13/0.42 (![V_k,V_u]: (c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f362,axiom,(
% 0.13/0.42 (![V_t,V_k,V_s]: (c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f367,axiom,(
% 0.13/0.42 c_InductTermi_OIT(c_Lambda_Osubst(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))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f368,negated_conjecture,(
% 0.13/0.42 ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f931,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X1),X2,X3)=c_Lambda_OdB_OApp(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f343])).
% 0.13/0.42 fof(f934,plain,(
% 0.13/0.42 ![X0,X1]: (c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0)=X1)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f346])).
% 0.13/0.42 fof(f957,plain,(
% 0.13/0.42 ![X0,X1,X2]: (c_Lambda_Osubst(c_Lambda_Olift(X0,X1),X2,X1)=X0)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f362])).
% 0.13/0.42 fof(f963,plain,(
% 0.13/0.42 c_InductTermi_OIT(c_Lambda_Osubst(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))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f367])).
% 0.13/0.42 fof(f964,plain,(
% 0.13/0.42 ~c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f368])).
% 0.13/0.42 fof(f1337,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(X0,X1),X2),X3,X1)=c_Lambda_OdB_OApp(X0,c_Lambda_Osubst(X2,X3,X1)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f957,f931])).
% 0.13/0.42 fof(f1946,plain,(
% 0.13/0.42 c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1337,f963])).
% 0.13/0.42 fof(f1966,plain,(
% 0.13/0.42 c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____)))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f934,f1946])).
% 0.13/0.42 fof(f1967,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1966,f964])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.072652 seconds
% 0.13/0.44 % CPU time: 0.221896 seconds
% 0.13/0.44 % Total memory used: 39.645 MB
% 0.13/0.44 % Net memory used: 39.454 MB
%------------------------------------------------------------------------------