%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV879-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 02:53:17 PM UTC 2026
% Result : Unsatisfiable 0.37s 1.02s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV879-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.50 % Computer : n002.cluster.edu
% 0.17/0.50 % Model : x86_64 x86_64
% 0.17/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.50 % Memory : 8046.5625MB
% 0.17/0.50 % OS : Linux 6.8.0-71-generic
% 0.17/0.50 % CPULimit : 300
% 0.17/0.50 % WCLimit : 300
% 0.17/0.50 % DateTime : Mon Sep 21 09:32:32 UTC 2026
% 0.17/0.50 % CPUTime :
% 0.33/0.65 % Drodi V4.1.1
% 0.37/1.02 % Refutation found
% 0.37/1.02 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.37/1.02 % SZS output start CNFRefutation for theBenchmark
% 0.37/1.02 fof(f616,axiom,(
% 0.37/1.02 (![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)) ))),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f640,axiom,(
% 0.37/1.02 (![V_G,V_ts]: (( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ) ))),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f647,axiom,(
% 0.37/1.02 (![V_x,V_A,T_a,V_B]: (( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))| ~ hBOOL(c_in(V_x,V_B,T_a)) ) ))),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f816,axiom,(
% 0.37/1.02 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f817,axiom,(
% 0.37/1.02 (![V_f,V_a,V_B,T_b,T_a]: (c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ))),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f844,axiom,(
% 0.37/1.02 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f845,axiom,(
% 0.37/1.02 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f854,axiom,(
% 0.37/1.02 (![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)) ) ))),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f862,negated_conjecture,(
% 0.37/1.02 v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) ),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f863,negated_conjecture,(
% 0.37/1.02 hBOOL(c_in(v_x,v_U,tc_Com_Opname)) ),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f864,negated_conjecture,(
% 0.37/1.02 ~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ),
% 0.37/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.37/1.02 fof(f1935,plain,(
% 0.37/1.02 ![X0,X1]: (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)))),
% 0.37/1.02 inference(cnf_transformation,[status(thm)],[f616])).
% 0.37/1.02 fof(f1973,plain,(
% 0.37/1.02 ![X0,X1]: (hBOOL(hAPP(hAPP(v_P,X0),X1))|~c_lessequals(X1,X0,tc_fun(t_a,tc_bool)))),
% 0.37/1.02 inference(cnf_transformation,[status(thm)],[f640])).
% 0.37/1.02 fof(f1983,plain,(
% 0.37/1.02 ![V_x,T_a,V_B]: ((![V_A]: (c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))|~c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))))|~hBOOL(c_in(V_x,V_B,T_a)))),
% 0.37/1.02 inference(miniscoping,[status(thm)],[f647])).
% 0.37/1.02 fof(f1984,plain,(
% 0.37/1.02 ![X0,X1,X2,X3]: (c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))|~c_lessequals(X1,X3,tc_fun(X2,tc_bool))|~hBOOL(c_in(X0,X3,X2)))),
% 0.37/1.02 inference(cnf_transformation,[status(thm)],[f1983])).
% 0.37/1.02 fof(f2242,plain,(
% 0.37/1.02 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 0.37/1.02 inference(cnf_transformation,[status(thm)],[f816])).
% 0.37/1.02 fof(f2243,plain,(
% 0.37/1.02 ![X0,X1,X2,X3,X4]: (c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4)=c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4))),
% 0.37/1.02 inference(cnf_transformation,[status(thm)],[f817])).
% 0.37/1.02 fof(f2281,plain,(
% 0.37/1.02 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 0.37/1.02 inference(miniscoping,[status(thm)],[f844])).
% 0.37/1.02 fof(f2282,plain,(
% 0.37/1.02 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 0.37/1.02 inference(cnf_transformation,[status(thm)],[f2281])).
% 0.37/1.02 fof(f2283,plain,(
% 0.37/1.02 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 0.37/1.02 inference(miniscoping,[status(thm)],[f845])).
% 0.37/1.02 fof(f2284,plain,(
% 0.37/1.02 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 0.37/1.02 inference(cnf_transformation,[status(thm)],[f2283])).
% 0.37/1.02 fof(f2298,plain,(
% 0.37/1.02 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(c_in(X0,X1,X2)))),
% 0.37/1.02 inference(cnf_transformation,[status(thm)],[f854])).
% 0.37/1.02 fof(f2311,plain,(
% 0.37/1.02 v_G=c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),
% 0.37/1.02 inference(cnf_transformation,[status(thm)],[f862])).
% 0.37/1.04 fof(f2312,plain,(
% 0.37/1.04 hBOOL(c_in(v_x,v_U,tc_Com_Opname))),
% 0.37/1.04 inference(cnf_transformation,[status(thm)],[f863])).
% 0.37/1.04 fof(f2313,plain,(
% 0.37/1.04 ~hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))),
% 0.37/1.04 inference(cnf_transformation,[status(thm)],[f864])).
% 0.37/1.04 fof(f2389,plain,(
% 0.37/1.04 ~hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))),
% 0.37/1.04 inference(forward_demodulation,[status(thm)],[f2311,f2313])).
% 0.37/1.04 fof(f2756,plain,(
% 0.37/1.04 hBOOL(hAPP(v_U,v_x))),
% 0.37/1.04 inference(resolution,[status(thm)],[f2284,f2312])).
% 0.37/1.04 fof(f2768,plain,(
% 0.37/1.04 ~c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool))),
% 0.37/1.04 inference(resolution,[status(thm)],[f1973,f2389])).
% 0.37/1.04 fof(f2786,plain,(
% 0.37/1.04 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(hAPP(X1,X0)))),
% 0.37/1.04 inference(resolution,[status(thm)],[f2298,f2282])).
% 0.37/1.04 fof(f2802,plain,(
% 0.37/1.04 ![X0,X1,X2,X3]: (c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))|~c_lessequals(X1,X3,tc_fun(X2,tc_bool))|~hBOOL(hAPP(X3,X0)))),
% 0.37/1.04 inference(resolution,[status(thm)],[f1984,f2282])).
% 0.37/1.04 fof(f2828,plain,(
% 0.37/1.04 ![X0]: (c_Set_Oinsert(v_x,v_U,X0)=v_U)),
% 0.37/1.04 inference(resolution,[status(thm)],[f2786,f2756])).
% 0.37/1.04 fof(f3016,plain,(
% 0.37/1.04 ![X0]: (c_Set_Oimage(v_mgt__call,c_Set_Oinsert(X0,v_U,tc_Com_Opname),tc_Com_Opname,t_a)=c_Set_Oinsert(hAPP(v_mgt__call,X0),v_G,t_a))),
% 0.37/1.04 inference(paramodulation,[status(thm)],[f2311,f2243])).
% 0.37/1.04 fof(f3080,plain,(
% 0.37/1.04 c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)=c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a)),
% 0.37/1.04 inference(paramodulation,[status(thm)],[f2828,f3016])).
% 0.37/1.04 fof(f3102,plain,(
% 0.37/1.04 v_G=c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a)),
% 0.37/1.04 inference(forward_demodulation,[status(thm)],[f2311,f3080])).
% 0.37/1.04 fof(f3164,plain,(
% 0.37/1.04 hBOOL(hAPP(v_G,hAPP(v_mgt__call,v_x)))),
% 0.37/1.04 inference(paramodulation,[status(thm)],[f3102,f2242])).
% 0.37/1.04 fof(f5722,plain,(
% 0.37/1.04 ~c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))|~hBOOL(hAPP(v_G,hAPP(v_mgt__call,v_x)))),
% 0.37/1.04 inference(resolution,[status(thm)],[f2802,f2768])).
% 0.37/1.04 fof(f5753,plain,(
% 0.37/1.04 ~hBOOL(hAPP(v_G,hAPP(v_mgt__call,v_x)))),
% 0.37/1.04 inference(forward_subsumption_resolution,[status(thm)],[f5722,f1935])).
% 0.37/1.04 fof(f5899,plain,(
% 0.37/1.04 $false),
% 0.37/1.04 inference(forward_subsumption_resolution,[status(thm)],[f5753,f3164])).
% 0.37/1.04 % SZS output end CNFRefutation for theBenchmark.p
% 0.37/1.09 % Elapsed time: 0.562726 seconds
% 0.37/1.09 % CPU time: 2.880704 seconds
% 0.37/1.09 % Total memory used: 182.324 MB
% 0.37/1.09 % Net memory used: 180.954 MB
%------------------------------------------------------------------------------