%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV854-1 : 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 : n014.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 02:53:16 PM UTC 2026
% Result : Unsatisfiable 0.28s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV854-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n014.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 09:28:34 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.28/0.53 % Drodi V4.1.1
% 0.28/0.60 % Refutation found
% 0.28/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.28/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.28/0.60 fof(f514,axiom,(
% 0.28/0.60 (![V_x,V_A,T_a]: (hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ))),
% 0.28/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.28/0.60 fof(f523,axiom,(
% 0.28/0.60 (![V_a,V_A,T_a]: (( c_Set_Oinsert(V_a,V_A,T_a) = V_A| ~ hBOOL(c_in(V_a,V_A,T_a)) ) ))),
% 0.28/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.28/0.60 fof(f729,axiom,(
% 0.28/0.60 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 0.28/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.28/0.60 fof(f730,axiom,(
% 0.28/0.60 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 0.28/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.28/0.60 fof(f731,axiom,(
% 0.28/0.60 (![V_n,V_P,V_pn,V_Q,T_a]: (( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,V_n),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),T_a)| ~ c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),T_a) ) ))),
% 0.28/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.28/0.60 fof(f734,negated_conjecture,(
% 0.28/0.60 hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)) ),
% 0.28/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.28/0.60 fof(f735,negated_conjecture,(
% 0.28/0.60 ~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a) ),
% 0.28/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.28/0.60 fof(f738,negated_conjecture,(
% 0.28/0.60 (![V_x]: (( c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,V_x),c_Option_Othe(c_Com_Obody(V_x),tc_Com_Ocom),hAPP(v_Q,V_x),t_a),t_a)| ~ hBOOL(c_in(V_x,v_Procs,tc_Com_Opname)) ) ))),
% 0.28/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.28/0.60 fof(f1579,plain,(
% 0.28/0.60 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X2)))),
% 0.28/0.60 inference(cnf_transformation,[status(thm)],[f514])).
% 0.28/0.60 fof(f1594,plain,(
% 0.28/0.60 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(c_in(X0,X1,X2)))),
% 0.28/0.60 inference(cnf_transformation,[status(thm)],[f523])).
% 0.28/0.60 fof(f1870,plain,(
% 0.28/0.60 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 0.28/0.60 inference(miniscoping,[status(thm)],[f729])).
% 0.28/0.60 fof(f1871,plain,(
% 0.28/0.60 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 0.28/0.60 inference(cnf_transformation,[status(thm)],[f1870])).
% 0.28/0.60 fof(f1872,plain,(
% 0.28/0.60 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 0.28/0.60 inference(miniscoping,[status(thm)],[f730])).
% 0.28/0.60 fof(f1873,plain,(
% 0.28/0.60 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 0.28/0.60 inference(cnf_transformation,[status(thm)],[f1872])).
% 0.28/0.60 fof(f1874,plain,(
% 0.28/0.60 ![X0,X1,X2,X3,X4]: (c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X0),c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Com_Ocom_OBODY(X2),X3,X4),X4)|~c_Hoare__Mirabelle_Otriple__valid(X0,c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Option_Othe(c_Com_Obody(X2),tc_Com_Ocom),X3,X4),X4))),
% 0.28/0.60 inference(cnf_transformation,[status(thm)],[f731])).
% 0.28/0.60 fof(f1877,plain,(
% 0.28/0.60 hBOOL(c_in(v_x,v_Procs,tc_Com_Opname))),
% 0.28/0.61 inference(cnf_transformation,[status(thm)],[f734])).
% 0.28/0.61 fof(f1878,plain,(
% 0.28/0.61 ~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a)),
% 0.28/0.61 inference(cnf_transformation,[status(thm)],[f735])).
% 0.28/0.61 fof(f1881,plain,(
% 0.28/0.61 ![X0]: (c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X0),c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),hAPP(v_Q,X0),t_a),t_a)|~hBOOL(c_in(X0,v_Procs,tc_Com_Opname)))),
% 0.28/0.61 inference(cnf_transformation,[status(thm)],[f738])).
% 0.28/0.61 fof(f2219,plain,(
% 0.28/0.61 ![X0,X1,X2]: (~hBOOL(hAPP(X0,X1))|c_Set_Oinsert(X1,X0,X2)=X0)),
% 0.28/0.61 inference(resolution,[status(thm)],[f1871,f1594])).
% 0.28/0.61 fof(f2227,plain,(
% 0.28/0.61 hBOOL(hAPP(v_Procs,v_x))),
% 0.28/0.61 inference(resolution,[status(thm)],[f1873,f1877])).
% 0.28/0.61 fof(f2281,plain,(
% 0.28/0.61 ![X0]: (c_Set_Oinsert(v_x,v_Procs,X0)=v_Procs)),
% 0.28/0.61 inference(resolution,[status(thm)],[f2227,f2219])).
% 0.28/0.61 fof(f2286,plain,(
% 0.28/0.61 ![X0]: (hBOOL(c_in(v_x,v_Procs,X0)))),
% 0.28/0.61 inference(paramodulation,[status(thm)],[f2281,f1579])).
% 0.28/0.61 fof(f2602,plain,(
% 0.28/0.61 ![X0]: (c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X0),c_Com_Ocom_OBODY(X0),hAPP(v_Q,X0),t_a),t_a)|~hBOOL(c_in(X0,v_Procs,tc_Com_Opname)))),
% 0.28/0.61 inference(resolution,[status(thm)],[f1874,f1881])).
% 0.28/0.61 fof(f2643,plain,(
% 0.28/0.61 c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a)),
% 0.28/0.61 inference(resolution,[status(thm)],[f2602,f2286])).
% 0.28/0.61 fof(f2645,plain,(
% 0.28/0.61 $false),
% 0.28/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2643,f1878])).
% 0.28/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.28/0.67 % Elapsed time: 0.209754 seconds
% 0.28/0.67 % CPU time: 0.524588 seconds
% 0.28/0.67 % Total memory used: 76.934 MB
% 0.28/0.67 % Net memory used: 76.666 MB
%------------------------------------------------------------------------------