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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : LCL808-1 : 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 : 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 01:11:10 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.51s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL808-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n013.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 01:04:51 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V4.1.1
% 0.14/0.51  % Refutation found
% 0.14/0.51  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.51  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.51  fof(f63,axiom,(
% 0.14/0.51    c_InductTermi_OIT(v_u____) ),
% 0.14/0.51    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.51  fof(f65,axiom,(
% 0.14/0.51    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____) ),
% 0.14/0.51    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.51  fof(f66,axiom,(
% 0.14/0.51    (![V_ua,V_ia,V_ea,V_T_H]: (( c_InductTermi_OIT(c_Lambda_Osubst(v_b____,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_b____,V_T_H) ) ))),
% 0.14/0.51    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.51  fof(f68,axiom,(
% 0.14/0.51    c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 0.14/0.51    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.51  fof(f69,negated_conjecture,(
% 0.14/0.51    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)) ),
% 0.14/0.51    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.51  fof(f161,plain,(
% 0.14/0.51    c_InductTermi_OIT(v_u____)),
% 0.14/0.51    inference(cnf_transformation,[status(thm)],[f63])).
% 0.14/0.51  fof(f163,plain,(
% 0.14/0.51    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____)),
% 0.14/0.51    inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.51  fof(f164,plain,(
% 0.14/0.51    ![V_ia,V_ea]: ((![V_ua]: ((c_InductTermi_OIT(c_Lambda_Osubst(v_b____,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_b____,V_T_H)))),
% 0.14/0.51    inference(miniscoping,[status(thm)],[f66])).
% 0.14/0.51  fof(f165,plain,(
% 0.14/0.51    ![X0,X1,X2,X3]: (c_InductTermi_OIT(c_Lambda_Osubst(v_b____,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_b____,X3))),
% 0.14/0.51    inference(cnf_transformation,[status(thm)],[f164])).
% 0.14/0.51  fof(f167,plain,(
% 0.14/0.51    c_Type_Otyping(v_e____,v_u____,v_T____)),
% 0.14/0.51    inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.51  fof(f168,plain,(
% 0.14/0.51    ~c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____))),
% 0.14/0.51    inference(cnf_transformation,[status(thm)],[f69])).
% 0.14/0.51  fof(f1398,plain,(
% 0.14/0.51    ![X0,X1]: (c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,X0))|~c_InductTermi_OIT(v_u____)|~c_Type_Otyping(c_Type_Oshift(v_e____,X0,v_T____,tc_Type_Otype),v_b____,X1))),
% 0.14/0.51    inference(resolution,[status(thm)],[f165,f167])).
% 0.14/0.51  fof(f1400,plain,(
% 0.14/0.51    ![X0,X1]: (c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,X0))|~c_Type_Otyping(c_Type_Oshift(v_e____,X0,v_T____,tc_Type_Otype),v_b____,X1))),
% 0.14/0.51    inference(forward_subsumption_resolution,[status(thm)],[f1398,f161])).
% 0.14/0.51  fof(f1427,plain,(
% 0.14/0.51    c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____))),
% 0.14/0.51    inference(resolution,[status(thm)],[f1400,f163])).
% 0.14/0.51  fof(f1428,plain,(
% 0.14/0.51    $false),
% 0.14/0.51    inference(forward_subsumption_resolution,[status(thm)],[f1427,f168])).
% 0.14/0.51  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.52  % Elapsed time: 0.158953 seconds
% 0.14/0.52  % CPU time: 0.991077 seconds
% 0.14/0.52  % Total memory used: 127.630 MB
% 0.14/0.52  % Net memory used: 126.297 MB
%------------------------------------------------------------------------------