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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV690-1 : 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 : n001.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 02:53:01 PM UTC 2026

% Result   : Unsatisfiable 0.25s 0.61s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWV690-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41  % Computer : n001.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.41  % WCLimit  : 300
% 0.15/0.41  % DateTime : Mon Sep 21 09:24:59 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.18/0.54  % Drodi V4.1.1
% 0.25/0.61  % Refutation found
% 0.25/0.61  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.25/0.61  % SZS output start CNFRefutation for theBenchmark
% 0.25/0.61  fof(f750,axiom,(
% 0.25/0.61    (![V_j,V_n,V_k]: (( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat)| ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ))),
% 0.25/0.61    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.61  fof(f768,negated_conjecture,(
% 0.25/0.61    c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ),
% 0.25/0.61    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.61  fof(f769,negated_conjecture,(
% 0.25/0.61    ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_k,v_i,tc_nat),v_n,tc_nat) ),
% 0.25/0.61    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.61  fof(f1993,plain,(
% 0.25/0.61    ![V_j,V_k]: ((![V_n]: c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat))|~c_HOL_Oord__class_Oless(V_j,V_k,tc_nat))),
% 0.25/0.61    inference(miniscoping,[status(thm)],[f750])).
% 0.25/0.61  fof(f1994,plain,(
% 0.25/0.61    ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X0,X2,tc_nat))),
% 0.25/0.61    inference(cnf_transformation,[status(thm)],[f1993])).
% 0.25/0.61  fof(f2021,plain,(
% 0.25/0.61    c_HOL_Oord__class_Oless(v_k,v_n,tc_nat)),
% 0.25/0.61    inference(cnf_transformation,[status(thm)],[f768])).
% 0.25/0.61  fof(f2022,plain,(
% 0.25/0.61    ~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_k,v_i,tc_nat),v_n,tc_nat)),
% 0.25/0.61    inference(cnf_transformation,[status(thm)],[f769])).
% 0.25/0.61  fof(f2647,plain,(
% 0.25/0.61    ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_k,X0,tc_nat),v_n,tc_nat))),
% 0.25/0.61    inference(resolution,[status(thm)],[f1994,f2021])).
% 0.25/0.61  fof(f2656,plain,(
% 0.25/0.61    $false),
% 0.25/0.61    inference(backward_subsumption_resolution,[status(thm)],[f2022,f2647])).
% 0.25/0.61  % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.63  % Elapsed time: 0.204917 seconds
% 0.25/0.63  % CPU time: 0.227341 seconds
% 0.25/0.63  % Total memory used: 40.517 MB
% 0.25/0.63  % Net memory used: 40.352 MB
%------------------------------------------------------------------------------