%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL828-1 : 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 : n014.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 01:11:13 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL828-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % Computer : n014.cluster.edu
% 0.19/0.49 % Model : x86_64 x86_64
% 0.19/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.49 % Memory : 8046.5625MB
% 0.19/0.49 % OS : Linux 6.8.0-71-generic
% 0.19/0.49 % CPULimit : 300
% 0.19/0.49 % WCLimit : 300
% 0.19/0.49 % DateTime : Mon Sep 21 01:06:04 UTC 2026
% 0.19/0.50 % CPUTime :
% 0.23/0.52 % Drodi V4.1.1
% 0.23/0.65 % Refutation found
% 0.23/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.65 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.65 fof(f63,axiom,(
% 0.23/0.65 c_InductTermi_OIT(v_u____) ),
% 0.23/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.65 fof(f65,axiom,(
% 0.23/0.65 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_Ua____) ),
% 0.23/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.65 fof(f66,axiom,(
% 0.23/0.65 (![V_ua,V_ia,V_ea,V_T_H]: (( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,V_ua,V_ia))| ~ c_Type_Otyping(V_ea,V_ua,v_T____)| ~ c_InductTermi_OIT(V_ua)| ~ c_Type_Otyping(c_Type_Oshift(V_ea,V_ia,v_T____,tc_Type_Otype),v_a____,V_T_H) ) ))),
% 0.23/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.65 fof(f68,axiom,(
% 0.23/0.65 c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 0.23/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.65 fof(f69,negated_conjecture,(
% 0.23/0.65 ~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)) ),
% 0.23/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.65 fof(f161,plain,(
% 0.23/0.65 c_InductTermi_OIT(v_u____)),
% 0.23/0.65 inference(cnf_transformation,[status(thm)],[f63])).
% 0.23/0.65 fof(f163,plain,(
% 0.23/0.65 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_Ua____)),
% 0.23/0.65 inference(cnf_transformation,[status(thm)],[f65])).
% 0.23/0.65 fof(f164,plain,(
% 0.23/0.65 ![V_ia,V_ea]: ((![V_ua]: ((c_InductTermi_OIT(c_Lambda_Osubst(v_a____,V_ua,V_ia))|~c_Type_Otyping(V_ea,V_ua,v_T____))|~c_InductTermi_OIT(V_ua)))|(![V_T_H]: ~c_Type_Otyping(c_Type_Oshift(V_ea,V_ia,v_T____,tc_Type_Otype),v_a____,V_T_H)))),
% 0.23/0.65 inference(miniscoping,[status(thm)],[f66])).
% 0.23/0.65 fof(f165,plain,(
% 0.23/0.65 ![X0,X1,X2,X3]: (c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X0,X1))|~c_Type_Otyping(X2,X0,v_T____)|~c_InductTermi_OIT(X0)|~c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3))),
% 0.23/0.65 inference(cnf_transformation,[status(thm)],[f164])).
% 0.23/0.65 fof(f167,plain,(
% 0.23/0.65 c_Type_Otyping(v_e____,v_u____,v_T____)),
% 0.23/0.65 inference(cnf_transformation,[status(thm)],[f68])).
% 0.23/0.65 fof(f168,plain,(
% 0.23/0.65 ~c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____))),
% 0.23/0.65 inference(cnf_transformation,[status(thm)],[f69])).
% 0.23/0.65 fof(f1563,plain,(
% 0.23/0.65 ![X0,X1]: (c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,X0))|~c_InductTermi_OIT(v_u____)|~c_Type_Otyping(c_Type_Oshift(v_e____,X0,v_T____,tc_Type_Otype),v_a____,X1))),
% 0.23/0.65 inference(resolution,[status(thm)],[f167,f165])).
% 0.23/0.65 fof(f1564,plain,(
% 0.23/0.65 ![X0,X1]: (c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,X0))|~c_Type_Otyping(c_Type_Oshift(v_e____,X0,v_T____,tc_Type_Otype),v_a____,X1))),
% 0.23/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1563,f161])).
% 0.23/0.65 fof(f1586,plain,(
% 0.23/0.65 c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____))),
% 0.23/0.65 inference(resolution,[status(thm)],[f1564,f163])).
% 0.23/0.65 fof(f1587,plain,(
% 0.23/0.65 $false),
% 0.23/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1586,f168])).
% 0.23/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.69 % Elapsed time: 0.175767 seconds
% 0.23/0.69 % CPU time: 0.794248 seconds
% 0.23/0.69 % Total memory used: 83.881 MB
% 0.23/0.69 % Net memory used: 83.090 MB
%------------------------------------------------------------------------------