%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV841-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 02:53:15 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV841-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 09:28:13 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.12/0.44 % Refutation found
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.44 fof(f287,axiom,(
% 0.12/0.44 (![T_a,V_A]: (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f414,axiom,(
% 0.12/0.44 (![T_a,V_a,V_C,V_D]: (( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool))| ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f423,axiom,(
% 0.12/0.44 (![V_B,T_a,V_a]: (c_lessequals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f438,axiom,(
% 0.12/0.44 (![V_G,V_ts,T_a]: (( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f485,axiom,(
% 0.12/0.44 (![V_G,V_ts,T_a,V_G_H]: (( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f500,negated_conjecture,(
% 0.12/0.44 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a) ),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f501,negated_conjecture,(
% 0.12/0.44 ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f1001,plain,(
% 0.12/0.44 ![X0,X1]: (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f287])).
% 0.12/0.44 fof(f1216,plain,(
% 0.12/0.44 ![T_a,V_C,V_D]: ((![V_a]: c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool)))|~c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)))),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f414])).
% 0.12/0.44 fof(f1217,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (c_lessequals(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3),tc_fun(X0,tc_bool))|~c_lessequals(X2,X3,tc_fun(X0,tc_bool)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f1216])).
% 0.12/0.44 fof(f1232,plain,(
% 0.12/0.44 ![X0,X1,X2]: (c_lessequals(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X0),tc_fun(X1,tc_bool)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f423])).
% 0.12/0.44 fof(f1253,plain,(
% 0.12/0.44 ![X0,X1,X2]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)|~c_lessequals(X1,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f438])).
% 0.12/0.44 fof(f1324,plain,(
% 0.12/0.44 ![V_ts,T_a,V_G_H]: ((![V_G]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)|~c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)))|~c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a))),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f485])).
% 0.12/0.44 fof(f1325,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f1324])).
% 0.12/0.44 fof(f1347,plain,(
% 0.12/0.44 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),t_a)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f500])).
% 0.12/0.44 fof(f1348,plain,(
% 0.12/0.44 ~c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f501])).
% 0.12/0.44 fof(f1402,definition,(
% 0.12/0.44 sQ4_spl <=> (c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f1404,plain,(
% 0.12/0.44 ~c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)|sQ4_spl),
% 0.12/0.45 inference(component_clause,[status(thm)],[f1402])).
% 0.12/0.45 fof(f1405,definition,(
% 0.12/0.45 sQ5_spl <=> (c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))),
% 0.12/0.45 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.45 fof(f1407,plain,(
% 0.12/0.45 ~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|sQ5_spl),
% 0.12/0.45 inference(component_clause,[status(thm)],[f1405])).
% 0.12/0.45 fof(f1408,plain,(
% 0.12/0.45 ~sQ4_spl|~sQ5_spl),
% 0.12/0.45 inference(split_clause,[status(thm)],[f1348,f1402,f1405])).
% 0.12/0.45 fof(f1409,plain,(
% 0.12/0.45 ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(v_G,X0,t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts),X0,t_a))),
% 0.12/0.45 inference(resolution,[status(thm)],[f1325,f1347])).
% 0.12/0.45 fof(f1415,plain,(
% 0.12/0.45 ![X0,X1,X2]: (c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),X2),X2,X0))),
% 0.12/0.45 inference(resolution,[status(thm)],[f1232,f1253])).
% 0.12/0.45 fof(f1416,plain,(
% 0.12/0.45 ![X0,X1,X2,X3]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X3),X1),X2))),
% 0.12/0.45 inference(resolution,[status(thm)],[f1415,f1325])).
% 0.12/0.45 fof(f1421,plain,(
% 0.12/0.45 c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,t_a)),
% 0.12/0.45 inference(resolution,[status(thm)],[f1416,f1347])).
% 0.12/0.45 fof(f1422,plain,(
% 0.12/0.45 $false|sQ4_spl),
% 0.12/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1421,f1404])).
% 0.12/0.45 fof(f1423,plain,(
% 0.12/0.45 sQ4_spl),
% 0.12/0.45 inference(contradiction_clause,[status(thm)],[f1422])).
% 0.12/0.45 fof(f1425,plain,(
% 0.12/0.45 ![X0,X1,X2]: (c_lessequals(hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),tc_fun(X0,tc_bool)))),
% 0.12/0.45 inference(resolution,[status(thm)],[f1217,f1001])).
% 0.12/0.45 fof(f1621,plain,(
% 0.12/0.45 ![X0,X1,X2]: (c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool))),X0))),
% 0.12/0.45 inference(resolution,[status(thm)],[f1425,f1253])).
% 0.12/0.45 fof(f1651,plain,(
% 0.12/0.45 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)),
% 0.12/0.45 inference(resolution,[status(thm)],[f1621,f1409])).
% 0.12/0.45 fof(f1661,plain,(
% 0.12/0.45 $false|sQ5_spl),
% 0.12/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1651,f1407])).
% 0.12/0.45 fof(f1662,plain,(
% 0.12/0.45 sQ5_spl),
% 0.12/0.45 inference(contradiction_clause,[status(thm)],[f1661])).
% 0.12/0.45 fof(f1663,plain,(
% 0.12/0.45 $false),
% 0.12/0.45 inference(sat_refutation,[status(thm)],[f1408,f1423,f1662])).
% 0.12/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.45 % Elapsed time: 0.092670 seconds
% 0.12/0.45 % CPU time: 0.205257 seconds
% 0.12/0.45 % Total memory used: 66.418 MB
% 0.12/0.45 % Net memory used: 66.249 MB
%------------------------------------------------------------------------------