%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV911-1 : 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 : n011.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 02:53:20 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV911-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:31:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.42 % Drodi V4.1.1
% 0.09/0.44 % Refutation found
% 0.09/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.44 fof(f528,negated_conjecture,(
% 0.09/0.44 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f529,negated_conjecture,(
% 0.09/0.44 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f530,negated_conjecture,(
% 0.09/0.44 ( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))| hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ) ),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f531,negated_conjecture,(
% 0.09/0.44 (![V_xc,V_xd]: (( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(V_xc,V_xd)))| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ))),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f532,negated_conjecture,(
% 0.09/0.44 (![V_xc,V_xd]: (( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(V_xc,V_xd)))| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ))),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f533,negated_conjecture,(
% 0.09/0.44 (![V_xd,V_Z_H,V_xc]: (( hBOOL(hAPP(hAPP(V_xd,V_Z_H),v_xb(V_xc,V_xd)))| ~ hBOOL(hAPP(hAPP(V_xc,V_Z_H),v_xa))| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ))),
% 0.09/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44 fof(f1363,plain,(
% 0.09/0.44 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f528])).
% 0.09/0.44 fof(f1364,plain,(
% 0.09/0.44 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f529])).
% 0.09/0.44 fof(f1365,plain,(
% 0.09/0.44 hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))|hBOOL(hAPP(hAPP(v_P,v_x),v_xa))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f530])).
% 0.09/0.44 fof(f1366,plain,(
% 0.09/0.44 ![X0,X1]: (~hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1)))|~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f531])).
% 0.09/0.44 fof(f1367,plain,(
% 0.09/0.44 ![X0,X1]: (~hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1)))|~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f532])).
% 0.09/0.44 fof(f1368,plain,(
% 0.09/0.44 ![V_xd,V_xc]: ((![V_Z_H]: (hBOOL(hAPP(hAPP(V_xd,V_Z_H),v_xb(V_xc,V_xd)))|~hBOOL(hAPP(hAPP(V_xc,V_Z_H),v_xa))))|~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))),
% 0.09/0.44 inference(miniscoping,[status(thm)],[f533])).
% 0.09/0.44 fof(f1369,plain,(
% 0.09/0.44 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(X0,X1),v_xb(X2,X0)))|~hBOOL(hAPP(hAPP(X2,X1),v_xa))|~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,v_c,X0,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))),
% 0.09/0.44 inference(cnf_transformation,[status(thm)],[f1368])).
% 0.09/0.44 fof(f1413,definition,(
% 0.09/0.44 sQ0_spl <=> (hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)))),
% 0.09/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.44 fof(f1414,plain,(
% 0.09/0.44 hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))|~sQ0_spl),
% 0.09/0.44 inference(component_clause,[status(thm)],[f1413])).
% 0.09/0.44 fof(f1416,definition,(
% 0.09/0.44 sQ1_spl <=> (hBOOL(hAPP(hAPP(v_P,v_x),v_xa)))),
% 0.09/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.44 fof(f1417,plain,(
% 0.09/0.44 hBOOL(hAPP(hAPP(v_P,v_x),v_xa))|~sQ1_spl),
% 0.09/0.44 inference(component_clause,[status(thm)],[f1416])).
% 0.09/0.44 fof(f1419,plain,(
% 0.09/0.44 sQ0_spl|sQ1_spl),
% 0.09/0.44 inference(split_clause,[status(thm)],[f1365,f1413,f1416])).
% 0.09/0.44 fof(f1421,plain,(
% 0.09/0.44 ~hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f1366,f1363])).
% 0.09/0.44 fof(f1422,plain,(
% 0.09/0.44 ~hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f1367,f1364])).
% 0.09/0.44 fof(f1439,plain,(
% 0.09/0.44 ![X0]: (hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H)))|~hBOOL(hAPP(hAPP(v_P_H,X0),v_xa)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f1369,f1364])).
% 0.09/0.44 fof(f1440,plain,(
% 0.09/0.44 ![X0]: (hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q)))|~hBOOL(hAPP(hAPP(v_P,X0),v_xa)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f1369,f1363])).
% 0.09/0.44 fof(f1466,plain,(
% 0.09/0.44 hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H)))|~sQ0_spl),
% 0.09/0.44 inference(resolution,[status(thm)],[f1439,f1414])).
% 0.09/0.44 fof(f1467,plain,(
% 0.09/0.44 $false|~sQ0_spl),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1466,f1422])).
% 0.09/0.44 fof(f1468,plain,(
% 0.09/0.44 ~sQ0_spl),
% 0.09/0.44 inference(contradiction_clause,[status(thm)],[f1467])).
% 0.09/0.44 fof(f1513,plain,(
% 0.09/0.44 hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q)))|~sQ1_spl),
% 0.09/0.44 inference(resolution,[status(thm)],[f1440,f1417])).
% 0.09/0.44 fof(f1514,plain,(
% 0.09/0.44 $false|~sQ1_spl),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1513,f1421])).
% 0.09/0.44 fof(f1515,plain,(
% 0.09/0.44 ~sQ1_spl),
% 0.09/0.44 inference(contradiction_clause,[status(thm)],[f1514])).
% 0.09/0.44 fof(f1516,plain,(
% 0.09/0.44 $false),
% 0.09/0.44 inference(sat_refutation,[status(thm)],[f1419,f1468,f1515])).
% 0.09/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.47 % Elapsed time: 0.102634 seconds
% 0.09/0.47 % CPU time: 0.209909 seconds
% 0.09/0.47 % Total memory used: 41.796 MB
% 0.09/0.47 % Net memory used: 41.617 MB
%------------------------------------------------------------------------------