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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : ANA013-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:02:29 PM UTC 2026

% Result   : Unsatisfiable 0.11s 0.37s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ANA013-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n001.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 21 13:28:59 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.37  % Drodi V4.1.1
% 0.11/0.37  % Refutation found
% 0.11/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.11/0.37  fof(f1,negated_conjecture,(
% 0.11/0.37    (![V_U]: (~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b) ))),
% 0.11/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37  fof(f2,negated_conjecture,(
% 0.11/0.37    class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.11/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37  fof(f3,axiom,(
% 0.11/0.37    (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| c_lessequals(V_x,V_x,T_a) ) ))),
% 0.11/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37  fof(f4,axiom,(
% 0.11/0.37    (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Oorder(T) ) ))),
% 0.11/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37  fof(f5,plain,(
% 0.11/0.37    ![X0]: (~c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b))),
% 0.11/0.37    inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.37  fof(f6,plain,(
% 0.11/0.37    class_Ring__and__Field_Oordered__idom(t_b)),
% 0.11/0.37    inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.37  fof(f7,plain,(
% 0.11/0.37    ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: c_lessequals(V_x,V_x,T_a)))),
% 0.11/0.37    inference(miniscoping,[status(thm)],[f3])).
% 0.11/0.37  fof(f8,plain,(
% 0.11/0.37    ![X0,X1]: (~class_Orderings_Oorder(X0)|c_lessequals(X1,X1,X0))),
% 0.11/0.37    inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.37  fof(f9,plain,(
% 0.11/0.37    ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Oorder(X0))),
% 0.11/0.37    inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.37  fof(f10,plain,(
% 0.11/0.37    ![X0,X1]: (c_lessequals(X0,X0,X1)|~class_Ring__and__Field_Oordered__idom(X1))),
% 0.11/0.37    inference(resolution,[status(thm)],[f8,f9])).
% 0.11/0.37  fof(f11,plain,(
% 0.11/0.37    ![X0]: (c_lessequals(X0,X0,t_b))),
% 0.11/0.37    inference(resolution,[status(thm)],[f10,f6])).
% 0.11/0.37  fof(f12,plain,(
% 0.11/0.37    $false),
% 0.11/0.37    inference(resolution,[status(thm)],[f11,f5])).
% 0.11/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42  % Elapsed time: 0.048294 seconds
% 0.13/0.42  % CPU time: 0.058040 seconds
% 0.13/0.42  % Total memory used: 1.727 MB
% 0.13/0.42  % Net memory used: 1.724 MB
%------------------------------------------------------------------------------