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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : LCL748-1 : 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 01:11:01 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL748-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40  % Computer : n013.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Mon Sep 21 01:00:51 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.19/0.45  % Drodi V4.1.1
% 0.19/0.48  % Refutation found
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48  % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48  fof(f332,axiom,(
% 0.19/0.48    (![V_s,V_k]: (c_Lambda_Olift(c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Olift(V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ))),
% 0.19/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48  fof(f339,axiom,(
% 0.19/0.48    (![V_r]: (( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))| ~ c_InductTermi_OIT(V_r) ) ))),
% 0.19/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48  fof(f344,negated_conjecture,(
% 0.19/0.48    (![V_i]: (c_InductTermi_OIT(c_Lambda_Olift(v_r,V_i)) ))),
% 0.19/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48  fof(f345,negated_conjecture,(
% 0.19/0.48    ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)) ),
% 0.19/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48  fof(f892,plain,(
% 0.19/0.48    ![X0,X1]: (c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1)=c_Lambda_OdB_OAbs(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))))),
% 0.19/0.48    inference(cnf_transformation,[status(thm)],[f332])).
% 0.19/0.48  fof(f899,plain,(
% 0.19/0.48    ![X0]: (c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0))|~c_InductTermi_OIT(X0))),
% 0.19/0.48    inference(cnf_transformation,[status(thm)],[f339])).
% 0.19/0.48  fof(f905,plain,(
% 0.19/0.48    ![X0]: (c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)))),
% 0.19/0.48    inference(cnf_transformation,[status(thm)],[f344])).
% 0.19/0.48  fof(f906,plain,(
% 0.19/0.48    ~c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia))),
% 0.19/0.48    inference(cnf_transformation,[status(thm)],[f345])).
% 0.19/0.48  fof(f933,plain,(
% 0.19/0.48    ![X0]: (c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Olift(v_r,X0))))),
% 0.19/0.48    inference(resolution,[status(thm)],[f899,f905])).
% 0.19/0.48  fof(f956,plain,(
% 0.19/0.48    ![X0]: (c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),X0)))),
% 0.19/0.48    inference(paramodulation,[status(thm)],[f892,f933])).
% 0.19/0.48  fof(f961,plain,(
% 0.19/0.48    $false),
% 0.19/0.48    inference(backward_subsumption_resolution,[status(thm)],[f906,f956])).
% 0.19/0.48  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.51  % Elapsed time: 0.097414 seconds
% 0.19/0.51  % CPU time: 0.214027 seconds
% 0.19/0.51  % Total memory used: 63.225 MB
% 0.19/0.51  % Net memory used: 63.138 MB
%------------------------------------------------------------------------------