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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET844-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 02:12:43 PM UTC 2026

% Result   : Unsatisfiable 0.14s 5.45s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET844-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37  % Computer : n019.cluster.edu
% 0.09/5.37  % Model    : x86_64 x86_64
% 0.09/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37  % Memory   : 8046.5625MB
% 0.09/5.37  % OS       : Linux 6.8.0-71-generic
% 0.09/5.37  % CPULimit : 300
% 0.09/5.37  % WCLimit  : 300
% 0.09/5.37  % DateTime : Mon Sep 21 05:41:13 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.14/5.42  % Drodi V4.1.1
% 0.14/5.45  % Refutation found
% 0.14/5.45  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.45  % SZS output start CNFRefutation for theBenchmark
% 0.14/5.45  fof(f310,axiom,(
% 0.14/5.45    (![V_A,T_a]: (c_lessequals(V_A,V_A,tc_set(T_a)) ))),
% 0.14/5.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.45  fof(f1363,axiom,(
% 0.14/5.45    (![V_Y,V_S,T_a]: (( ~ c_lessequals(V_Y,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(tc_set(T_a))))| c_in(c_Union(V_Y,tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ) ))),
% 0.14/5.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.45  fof(f1364,axiom,(
% 0.14/5.45    (![V_m,V_S,T_a,V_n]: (( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))| V_m != c_Zorn_Osucc(V_S,V_m,T_a)| c_lessequals(V_n,V_m,tc_set(tc_set(T_a))) ) ))),
% 0.14/5.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.45  fof(f1365,negated_conjecture,(
% 0.14/5.45    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
% 0.14/5.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.45  fof(f1366,negated_conjecture,(
% 0.14/5.45    v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
% 0.14/5.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.45  fof(f1367,negated_conjecture,(
% 0.14/5.45    ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
% 0.14/5.45    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.45  fof(f1786,plain,(
% 0.14/5.45    ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 0.14/5.45    inference(cnf_transformation,[status(thm)],[f310])).
% 0.14/5.45  fof(f2848,plain,(
% 0.14/5.45    ![X0,X1,X2]: (~c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))|c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))))),
% 0.14/5.45    inference(cnf_transformation,[status(thm)],[f1363])).
% 0.14/5.45  fof(f2849,plain,(
% 0.14/5.45    ![V_m,T_a,V_n]: ((![V_S]: ((~c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))|~c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))))|~V_m=c_Zorn_Osucc(V_S,V_m,T_a)))|c_lessequals(V_n,V_m,tc_set(tc_set(T_a))))),
% 0.14/5.45    inference(miniscoping,[status(thm)],[f1364])).
% 0.14/5.45  fof(f2850,plain,(
% 0.14/5.45    ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~X0=c_Zorn_Osucc(X1,X0,X2)|c_lessequals(X3,X0,tc_set(tc_set(X2))))),
% 0.14/5.45    inference(cnf_transformation,[status(thm)],[f2849])).
% 0.14/5.45  fof(f2851,plain,(
% 0.14/5.45    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))),
% 0.14/5.45    inference(cnf_transformation,[status(thm)],[f1365])).
% 0.14/5.45  fof(f2852,plain,(
% 0.14/5.45    v_m=c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.14/5.45    inference(cnf_transformation,[status(thm)],[f1366])).
% 0.14/5.45  fof(f2853,plain,(
% 0.14/5.45    ~c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 0.14/5.45    inference(cnf_transformation,[status(thm)],[f1367])).
% 0.14/5.45  fof(f2873,plain,(
% 0.14/5.45    ![X0,X1,X2,X3]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~X0=c_Zorn_Osucc(X1,X0,X2)|c_lessequals(c_Union(X3,tc_set(X2)),X0,tc_set(tc_set(X2)))|~c_lessequals(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2)))))),
% 0.14/5.45    inference(resolution,[status(thm)],[f2850,f2848])).
% 0.14/5.45  fof(f2877,plain,(
% 0.14/5.45    ![X0,X1,X2]: (~c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))|~X0=c_Zorn_Osucc(X1,X0,X2)|c_lessequals(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),X0,tc_set(tc_set(X2))))),
% 0.14/5.45    inference(resolution,[status(thm)],[f2873,f1786])).
% 0.14/5.45  fof(f2930,plain,(
% 0.14/5.45    ~v_m=c_Zorn_Osucc(v_S,v_m,t_a)|c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 0.14/5.45    inference(resolution,[status(thm)],[f2877,f2851])).
% 0.14/5.45  fof(f2932,plain,(
% 0.14/5.45    ~v_m=v_m|c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 0.14/5.45    inference(forward_demodulation,[status(thm)],[f2852,f2930])).
% 0.14/5.45  fof(f2933,plain,(
% 0.14/5.45    c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 0.14/5.45    inference(trivial_equality_resolution,[status(thm)],[f2932])).
% 0.14/5.45  fof(f2934,plain,(
% 0.14/5.45    $false),
% 0.14/5.45    inference(forward_subsumption_resolution,[status(thm)],[f2933,f2853])).
% 0.14/5.45  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.48  % Elapsed time: 0.099105 seconds
% 0.14/5.48  % CPU time: 0.221762 seconds
% 0.14/5.48  % Total memory used: 99.546 MB
% 0.14/5.48  % Net memory used: 99.269 MB
%------------------------------------------------------------------------------