%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL856-1 : 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 : n013.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 01:11:16 PM UTC 2026
% Result : Unsatisfiable 1.06s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:08:06 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 1.06/0.59 % Refutation found
% 1.06/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.06/0.59 % SZS output start CNFRefutation for theBenchmark
% 1.06/0.59 fof(f138,axiom,(
% 1.06/0.59 (![V_t]: (( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)| ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ))),
% 1.06/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.59 fof(f170,axiom,(
% 1.06/0.59 (![V_t,V_e,V_T]: (( hBOOL(hAPP(c_InductTermi_OIT,V_t))| ~ c_Type_Otyping(V_e,V_t,V_T) ) ))),
% 1.06/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.59 fof(f172,negated_conjecture,(
% 1.06/0.59 c_Type_Otyping(v_e,v_t,v_T) ),
% 1.06/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.59 fof(f173,negated_conjecture,(
% 1.06/0.59 ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB) ),
% 1.06/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.06/0.59 fof(f409,plain,(
% 1.06/0.59 ![X0]: (c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB)|~hBOOL(hAPP(c_InductTermi_OIT,X0)))),
% 1.06/0.59 inference(cnf_transformation,[status(thm)],[f138])).
% 1.06/0.59 fof(f461,plain,(
% 1.06/0.59 ![V_t]: (hBOOL(hAPP(c_InductTermi_OIT,V_t))|(![V_e,V_T]: ~c_Type_Otyping(V_e,V_t,V_T)))),
% 1.06/0.59 inference(miniscoping,[status(thm)],[f170])).
% 1.06/0.59 fof(f462,plain,(
% 1.06/0.59 ![X0,X1,X2]: (hBOOL(hAPP(c_InductTermi_OIT,X0))|~c_Type_Otyping(X1,X0,X2))),
% 1.06/0.59 inference(cnf_transformation,[status(thm)],[f461])).
% 1.06/0.59 fof(f464,plain,(
% 1.06/0.59 c_Type_Otyping(v_e,v_t,v_T)),
% 1.06/0.59 inference(cnf_transformation,[status(thm)],[f172])).
% 1.06/0.59 fof(f465,plain,(
% 1.06/0.59 ~c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB)),
% 1.06/0.59 inference(cnf_transformation,[status(thm)],[f173])).
% 1.06/0.59 fof(f547,plain,(
% 1.06/0.59 ![X0,X1,X2]: (~c_Type_Otyping(X0,X1,X2)|c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB))),
% 1.06/0.59 inference(resolution,[status(thm)],[f462,f409])).
% 1.06/0.59 fof(f549,plain,(
% 1.06/0.59 ![X0,X1]: (~c_Type_Otyping(X0,v_t,X1))),
% 1.06/0.59 inference(resolution,[status(thm)],[f547,f465])).
% 1.06/0.59 fof(f551,plain,(
% 1.06/0.59 $false),
% 1.06/0.59 inference(backward_subsumption_resolution,[status(thm)],[f464,f549])).
% 1.06/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.06/0.61 % Elapsed time: 0.224368 seconds
% 1.06/0.61 % CPU time: 1.431194 seconds
% 1.06/0.61 % Total memory used: 153.287 MB
% 1.06/0.61 % Net memory used: 152.245 MB
%------------------------------------------------------------------------------