%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV901-1 : 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 02:53:19 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV901-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.39 % Computer : n011.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Mon Sep 21 09:31:01 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.16/5.48 % Drodi V4.1.1
% 0.16/5.81 % Refutation found
% 0.16/5.81 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/5.81 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.81 fof(f108,axiom,(
% 0.16/5.81 (![V_P,T_a]: (c_Collect(V_P,T_a) = V_P ))),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f490,axiom,(
% 0.16/5.81 (![T_a,V_a]: (c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ))),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f556,axiom,(
% 0.16/5.81 (![V_pn,V_b]: (( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_OSome(V_b,tc_Com_Ocom)| ~ c_Com_OWT__bodies| c_Com_OWT(V_b) ) ))),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f560,axiom,(
% 0.16/5.81 (![V_c]: (( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)| ~ c_Com_OWT(V_c)| ~ c_Com_OWT__bodies| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ))),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f594,axiom,(
% 0.16/5.81 (![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) ) ))),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f614,axiom,(
% 0.16/5.81 (![V_G,T_a]: (c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ))),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f666,negated_conjecture,(
% 0.16/5.81 c_Hoare__Mirabelle_Ostate__not__singleton ),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f667,negated_conjecture,(
% 0.16/5.81 c_Com_OWT__bodies ),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f671,negated_conjecture,(
% 0.16/5.81 hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom) ),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f673,negated_conjecture,(
% 0.16/5.81 ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
% 0.16/5.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.81 fof(f880,plain,(
% 0.16/5.81 ![X0,X1]: (c_Collect(X0,X1)=X0)),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f108])).
% 0.16/5.81 fof(f1483,plain,(
% 0.16/5.81 ![X0,X1]: (c_Collect(hAPP(c_fequal(X0),X1),X0)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0))),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f490])).
% 0.16/5.81 fof(f1579,plain,(
% 0.16/5.81 ![V_b]: (((![V_pn]: ~hAPP(c_Com_Obody,V_pn)=c_Option_Ooption_OSome(V_b,tc_Com_Ocom))|~c_Com_OWT__bodies)|c_Com_OWT(V_b))),
% 0.16/5.81 inference(miniscoping,[status(thm)],[f556])).
% 0.16/5.81 fof(f1580,plain,(
% 0.16/5.81 ![X0,X1]: (~hAPP(c_Com_Obody,X0)=c_Option_Ooption_OSome(X1,tc_Com_Ocom)|~c_Com_OWT__bodies|c_Com_OWT(X1))),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f1579])).
% 0.16/5.81 fof(f1584,plain,(
% 0.16/5.81 ((![V_c]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Com_OWT(V_c)))|~c_Com_OWT__bodies)|~c_Hoare__Mirabelle_Ostate__not__singleton),
% 0.16/5.81 inference(miniscoping,[status(thm)],[f560])).
% 0.16/5.81 fof(f1585,plain,(
% 0.16/5.81 ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Com_OWT(X0)|~c_Com_OWT__bodies|~c_Hoare__Mirabelle_Ostate__not__singleton)),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f1584])).
% 0.16/5.81 fof(f1642,plain,(
% 0.16/5.81 ![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))),
% 0.16/5.81 inference(miniscoping,[status(thm)],[f594])).
% 0.16/5.81 fof(f1643,plain,(
% 0.16/5.81 ![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))),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f1642])).
% 0.16/5.81 fof(f1669,plain,(
% 0.16/5.81 ![X0,X1]: (c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X1))),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f614])).
% 0.16/5.81 fof(f1753,plain,(
% 0.16/5.81 c_Hoare__Mirabelle_Ostate__not__singleton),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f666])).
% 0.16/5.81 fof(f1754,plain,(
% 0.16/5.81 c_Com_OWT__bodies),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f667])).
% 0.16/5.81 fof(f1758,plain,(
% 0.16/5.81 hAPP(c_Com_Obody,v_pn)=c_Option_Ooption_OSome(v_y,tc_Com_Ocom)),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f671])).
% 0.16/5.81 fof(f1760,plain,(
% 0.16/5.81 ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)),
% 0.16/5.81 inference(cnf_transformation,[status(thm)],[f673])).
% 0.16/5.81 fof(f1869,plain,(
% 0.16/5.81 ![X0,X1]: (hAPP(c_fequal(X0),X1)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0))),
% 0.16/5.81 inference(forward_demodulation,[status(thm)],[f880,f1483])).
% 0.16/5.81 fof(f1894,plain,(
% 0.16/5.81 ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),tc_Com_Ostate)|~c_Com_OWT(X0)|~c_Com_OWT__bodies|~c_Hoare__Mirabelle_Ostate__not__singleton)),
% 0.16/5.81 inference(forward_demodulation,[status(thm)],[f1869,f1585])).
% 0.16/5.81 fof(f1917,plain,(
% 0.16/5.81 ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),tc_Com_Ostate)|~c_Com_OWT(X0)|~c_Com_OWT__bodies)),
% 0.16/5.81 inference(backward_subsumption_resolution,[status(thm)],[f1894,f1753])).
% 0.16/5.81 fof(f1920,plain,(
% 0.16/5.81 ![X0,X1]: (~hAPP(c_Com_Obody,X0)=c_Option_Ooption_OSome(X1,tc_Com_Ocom)|c_Com_OWT(X1))),
% 0.16/5.81 inference(backward_subsumption_resolution,[status(thm)],[f1580,f1754])).
% 0.16/5.81 fof(f1921,plain,(
% 0.16/5.81 ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),tc_Com_Ostate)),
% 0.16/5.81 inference(forward_demodulation,[status(thm)],[f1869,f1760])).
% 0.16/5.81 fof(f1932,plain,(
% 0.16/5.81 ![X0]: (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),tc_Com_Ostate)|~c_Com_OWT(X0))),
% 0.16/5.81 inference(forward_subsumption_resolution,[status(thm)],[f1917,f1754])).
% 0.16/5.81 fof(f2004,plain,(
% 0.16/5.81 ![X0]: (~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)|~c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),tc_Com_Ostate))),
% 0.16/5.83 inference(resolution,[status(thm)],[f1643,f1921])).
% 0.16/5.83 fof(f2036,plain,(
% 0.16/5.83 ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate)|~c_Com_OWT(v_y)),
% 0.16/5.83 inference(resolution,[status(thm)],[f2004,f1932])).
% 0.16/5.83 fof(f2040,plain,(
% 0.16/5.83 ~c_Com_OWT(v_y)),
% 0.16/5.83 inference(forward_subsumption_resolution,[status(thm)],[f2036,f1669])).
% 0.16/5.83 fof(f2041,plain,(
% 0.16/5.83 ![X0]: (~hAPP(c_Com_Obody,X0)=c_Option_Ooption_OSome(v_y,tc_Com_Ocom))),
% 0.16/5.83 inference(resolution,[status(thm)],[f2040,f1920])).
% 0.16/5.83 fof(f2043,plain,(
% 0.16/5.83 $false),
% 0.16/5.83 inference(backward_subsumption_resolution,[status(thm)],[f1758,f2041])).
% 0.16/5.83 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.85 % Elapsed time: 0.437628 seconds
% 0.16/5.85 % CPU time: 2.684201 seconds
% 0.16/5.85 % Total memory used: 169.157 MB
% 0.16/5.85 % Net memory used: 167.515 MB
%------------------------------------------------------------------------------