TSTP Solution File: SWW359+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW359+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:50:07 EDT 2024
% Result : Theorem 12.67s 2.33s
% Output : CNFRefutation 13.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW359+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.32 % Computer : n023.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon Apr 29 23:26:10 EDT 2024
% 0.13/0.32 % CPUTime :
% 0.55/0.75 % Drodi V3.6.0
% 12.67/2.33 % Refutation found
% 12.67/2.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.67/2.33 % SZS output start CNFRefutation for theBenchmark
% 12.67/2.33 fof(f2,axiom,(
% 12.67/2.33 (! [V_G_2,V_c_2] :( v_wt(V_c_2)=> ( (! [B_x] :( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))=> v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ))=> v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ) )),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f4,axiom,(
% 12.67/2.33 (! [V_a_2,V_A_2,T_b] :( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) )),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f7,axiom,(
% 12.67/2.33 (! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) )),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f8,axiom,(
% 12.67/2.33 (! [V_G_2,V_ts_2] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))=> v_P(V_G_2,V_ts_2) ) )),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f13,axiom,(
% 12.67/2.33 (! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) )),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f15,axiom,(
% 12.67/2.33 (! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) )),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f25,axiom,(
% 12.67/2.33 (! [V_a_2,V_D_2,V_C_2,T_b] :( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) )),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f75,axiom,(
% 12.67/2.33 (! [V_A_2,V_a_2,T_b] :( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))=> hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) )),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f5224,hypothesis,(
% 12.67/2.33 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)) ),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f5225,hypothesis,(
% 12.67/2.33 v_wt(v_c) ),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f5227,conjecture,(
% 12.67/2.33 v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
% 12.67/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.67/2.33 fof(f5228,negated_conjecture,(
% 12.67/2.33 ~(v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) )),
% 12.67/2.33 inference(negated_conjecture,[status(cth)],[f5227])).
% 12.67/2.33 fof(f5232,plain,(
% 12.67/2.33 ![V_G_2,V_c_2]: (~v_wt(V_c_2)|((?[B_x]: (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))&~v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))))|v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))))),
% 12.67/2.33 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 12.67/2.33 fof(f5233,plain,(
% 12.67/2.33 ![V_c_2]: (~v_wt(V_c_2)|(![V_G_2]: ((?[B_x]: (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))&~v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))))|v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))))),
% 12.67/2.33 inference(miniscoping,[status(esa)],[f5232])).
% 12.67/2.33 fof(f5234,plain,(
% 12.67/2.33 ![V_c_2]: (~v_wt(V_c_2)|(![V_G_2]: ((hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sk0_1(V_G_2,V_c_2)),v_U))&~v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sk0_1(V_G_2,V_c_2))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))|v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))))),
% 12.67/2.33 inference(skolemization,[status(esa)],[f5233])).
% 12.67/2.33 fof(f5235,plain,(
% 12.67/2.33 ![X0,X1]: (~v_wt(X0)|hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sk0_1(X1,X0)),v_U))|v_P(X1,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f5234])).
% 12.67/2.33 fof(f5236,plain,(
% 12.67/2.33 ![X0,X1]: (~v_wt(X0)|~v_P(X1,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sk0_1(X1,X0))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))|v_P(X1,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f5234])).
% 12.67/2.33 fof(f5240,plain,(
% 12.67/2.33 ![V_a_2,V_A_2,T_b]: (~hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))|hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))))),
% 12.67/2.33 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 12.67/2.33 fof(f5241,plain,(
% 12.67/2.33 ![V_A_2,T_b]: (~hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))|(![V_a_2]: hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))))),
% 12.67/2.33 inference(miniscoping,[status(esa)],[f5240])).
% 12.67/2.33 fof(f5242,plain,(
% 12.67/2.33 ![X0,X1,X2]: (~hBOOL(hAPP(c_Finite__Set_Ofinite(X0),X1))|hBOOL(hAPP(c_Finite__Set_Ofinite(X0),hAPP(hAPP(c_Set_Oinsert(X0),X2),X1))))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f5241])).
% 12.67/2.33 fof(f5246,plain,(
% 12.67/2.33 ![X0,X1,X2,X3,X4]: (hAPP(c_Set_Oimage(X0,X1,X2),hAPP(hAPP(c_Set_Oinsert(X0),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X0,X1,X2),X4)))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f7])).
% 12.67/2.33 fof(f5247,plain,(
% 12.67/2.33 ![V_G_2,V_ts_2]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))|v_P(V_G_2,V_ts_2))),
% 12.67/2.33 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 12.67/2.33 fof(f5248,plain,(
% 12.67/2.33 ![X0,X1]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X0),X1))|v_P(X1,X0))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f5247])).
% 12.67/2.33 fof(f5262,plain,(
% 12.67/2.33 ![X0,X1,X2]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))=hAPP(hAPP(c_Set_Oinsert(X0),X1),X2))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f13])).
% 12.67/2.33 fof(f5265,plain,(
% 12.67/2.33 ![X0,X1]: (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),X1)))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f15])).
% 12.67/2.33 fof(f5294,plain,(
% 12.67/2.33 ![V_a_2,V_D_2,V_C_2,T_b]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))))),
% 12.67/2.33 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 12.67/2.33 fof(f5295,plain,(
% 12.67/2.33 ![V_D_2,V_C_2,T_b]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))|(![V_a_2]: hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2)))))),
% 12.67/2.33 inference(miniscoping,[status(esa)],[f5294])).
% 12.67/2.33 fof(f5296,plain,(
% 12.67/2.33 ![X0,X1,X2,X3]: (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X0),X3),X1)),hAPP(hAPP(c_Set_Oinsert(X0),X3),X2))))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f5295])).
% 12.67/2.33 fof(f5452,plain,(
% 12.67/2.33 ![V_A_2,V_a_2,T_b]: (~hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))|hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)=V_A_2)),
% 12.67/2.33 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 12.67/2.33 fof(f5453,plain,(
% 12.67/2.33 ![X0,X1,X2]: (~hBOOL(hAPP(hAPP(c_member(X0),X1),X2))|hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)=X2)),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f5452])).
% 12.67/2.33 fof(f20148,plain,(
% 12.67/2.33 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f5224])).
% 12.67/2.33 fof(f20149,plain,(
% 12.67/2.33 v_wt(v_c)),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f5225])).
% 12.67/2.33 fof(f20151,plain,(
% 12.67/2.33 ~v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))),
% 12.67/2.33 inference(cnf_transformation,[status(esa)],[f5228])).
% 12.67/2.33 fof(f20942,plain,(
% 12.67/2.33 ![X0]: (hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sk0_1(X0,v_c)),v_U))|v_P(X0,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))),
% 12.67/2.33 inference(resolution,[status(thm)],[f5235,f20149])).
% 12.67/2.33 fof(f21043,plain,(
% 12.67/2.33 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2))))),
% 12.67/2.33 inference(resolution,[status(thm)],[f5296,f5265])).
% 12.67/2.33 fof(f22580,plain,(
% 12.67/2.33 ![X0,X1]: (v_P(hAPP(hAPP(c_Set_Oinsert(t_a),X0),X1),hAPP(hAPP(c_Set_Oinsert(t_a),X0),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))),
% 12.67/2.33 inference(resolution,[status(thm)],[f21043,f5248])).
% 12.67/2.33 fof(f22591,plain,(
% 12.67/2.33 ![X0,X1,X2,X3]: (v_P(hAPP(c_Set_Oimage(X0,t_a,X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),X3)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(X1,X2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))),
% 12.67/2.33 inference(paramodulation,[status(thm)],[f5246,f22580])).
% 12.67/2.33 fof(f26117,plain,(
% 12.67/2.33 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sk0_1(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),v_c)),v_U))),
% 12.67/2.33 inference(resolution,[status(thm)],[f20942,f20151])).
% 12.67/2.33 fof(f26125,plain,(
% 12.67/2.33 hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),sk0_1(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),v_c)),v_U)=v_U),
% 12.67/2.33 inference(resolution,[status(thm)],[f26117,f5453])).
% 12.67/2.33 fof(f26158,plain,(
% 12.67/2.33 ![X0]: (v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,X0),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(X0,sk0_1(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),v_c))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))))),
% 12.67/2.33 inference(paramodulation,[status(thm)],[f26125,f22591])).
% 12.67/2.33 fof(f26247,plain,(
% 12.67/2.33 spl0_21 <=> ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),X0),v_U)))),
% 12.67/2.33 introduced(split_symbol_definition)).
% 12.67/2.33 fof(f26248,plain,(
% 12.67/2.33 ![X0]: (~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),X0),v_U)))|~spl0_21)),
% 12.67/2.33 inference(component_clause,[status(thm)],[f26247])).
% 12.67/2.33 fof(f26415,plain,(
% 12.67/2.33 ~c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))=v_U),
% 12.67/2.33 inference(paramodulation,[status(thm)],[f26125,f5262])).
% 12.67/2.33 fof(f26820,plain,(
% 12.67/2.33 spl0_29 <=> v_wt(v_c)),
% 12.67/2.33 introduced(split_symbol_definition)).
% 12.67/2.33 fof(f26822,plain,(
% 12.67/2.33 ~v_wt(v_c)|spl0_29),
% 12.67/2.33 inference(component_clause,[status(thm)],[f26820])).
% 12.67/2.33 fof(f26823,plain,(
% 12.67/2.33 spl0_30 <=> ~v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,X0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))),
% 12.67/2.33 introduced(split_symbol_definition)).
% 12.67/2.33 fof(f26824,plain,(
% 12.67/2.33 ![X0]: (~v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,X0)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))|~spl0_30)),
% 12.67/2.33 inference(component_clause,[status(thm)],[f26823])).
% 12.67/2.33 fof(f26826,plain,(
% 12.67/2.33 spl0_31 <=> v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))),
% 12.67/2.33 introduced(split_symbol_definition)).
% 12.67/2.33 fof(f26827,plain,(
% 12.67/2.33 v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))|~spl0_31),
% 12.67/2.33 inference(component_clause,[status(thm)],[f26826])).
% 12.67/2.33 fof(f26831,plain,(
% 12.67/2.33 $false|spl0_29),
% 12.67/2.33 inference(forward_subsumption_resolution,[status(thm)],[f26822,f20149])).
% 12.67/2.33 fof(f26832,plain,(
% 12.67/2.33 spl0_29),
% 12.67/2.33 inference(contradiction_clause,[status(thm)],[f26831])).
% 12.67/2.33 fof(f26833,plain,(
% 12.67/2.33 $false|~spl0_31),
% 12.67/2.33 inference(forward_subsumption_resolution,[status(thm)],[f26827,f20151])).
% 12.67/2.33 fof(f26834,plain,(
% 12.67/2.33 ~spl0_31),
% 12.67/2.33 inference(contradiction_clause,[status(thm)],[f26833])).
% 13.32/2.40 fof(f26835,plain,(
% 13.32/2.40 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U))|~spl0_21),
% 13.32/2.40 inference(resolution,[status(thm)],[f26248,f5242])).
% 13.32/2.40 fof(f26836,plain,(
% 13.32/2.40 $false|~spl0_21),
% 13.32/2.40 inference(forward_subsumption_resolution,[status(thm)],[f26835,f20148])).
% 13.32/2.40 fof(f26837,plain,(
% 13.32/2.40 ~spl0_21),
% 13.32/2.40 inference(contradiction_clause,[status(thm)],[f26836])).
% 13.32/2.40 fof(f26909,plain,(
% 13.32/2.40 spl0_35 <=> c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))=v_U),
% 13.32/2.40 introduced(split_symbol_definition)).
% 13.32/2.40 fof(f26910,plain,(
% 13.32/2.40 c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))=v_U|~spl0_35),
% 13.32/2.40 inference(component_clause,[status(thm)],[f26909])).
% 13.32/2.40 fof(f28128,plain,(
% 13.32/2.40 spl0_40 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),sk0_1(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),v_c)),v_U)))),
% 13.32/2.40 introduced(split_symbol_definition)).
% 13.32/2.40 fof(f28130,plain,(
% 13.32/2.40 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),sk0_1(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),v_c)),v_U)))|spl0_40),
% 13.32/2.40 inference(component_clause,[status(thm)],[f28128])).
% 13.32/2.40 fof(f28545,plain,(
% 13.32/2.40 ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U))|spl0_40),
% 13.32/2.40 inference(resolution,[status(thm)],[f28130,f5242])).
% 13.32/2.40 fof(f28546,plain,(
% 13.32/2.40 $false|spl0_40),
% 13.32/2.40 inference(forward_subsumption_resolution,[status(thm)],[f28545,f20148])).
% 13.32/2.40 fof(f28547,plain,(
% 13.32/2.40 spl0_40),
% 13.32/2.40 inference(contradiction_clause,[status(thm)],[f28546])).
% 13.32/2.40 fof(f29584,plain,(
% 13.32/2.40 $false|~spl0_35),
% 13.32/2.40 inference(forward_subsumption_resolution,[status(thm)],[f26910,f26415])).
% 13.32/2.40 fof(f29585,plain,(
% 13.32/2.40 ~spl0_35),
% 13.32/2.40 inference(contradiction_clause,[status(thm)],[f29584])).
% 13.32/2.40 fof(f33465,plain,(
% 13.32/2.40 $false|~spl0_30),
% 13.32/2.40 inference(resolution,[status(thm)],[f26158,f26824])).
% 13.32/2.40 fof(f33466,plain,(
% 13.32/2.40 ~spl0_30),
% 13.32/2.40 inference(contradiction_clause,[status(thm)],[f33465])).
% 13.32/2.40 fof(f33467,plain,(
% 13.32/2.40 ~v_wt(v_c)|v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))),
% 13.32/2.40 inference(resolution,[status(thm)],[f26158,f5236])).
% 13.32/2.40 fof(f33468,plain,(
% 13.32/2.40 ~spl0_29|spl0_31),
% 13.32/2.40 inference(split_clause,[status(thm)],[f33467,f26820,f26826])).
% 13.32/2.40 fof(f33478,plain,(
% 13.32/2.40 $false),
% 13.32/2.40 inference(sat_refutation,[status(thm)],[f26832,f26834,f26837,f28547,f29585,f33466,f33468])).
% 13.32/2.40 % SZS output end CNFRefutation for theBenchmark.p
% 13.58/2.43 % Elapsed time: 2.101580 seconds
% 13.58/2.43 % CPU time: 13.268625 seconds
% 13.58/2.43 % Total memory used: 795.711 MB
% 13.58/2.43 % Net memory used: 792.302 MB
%------------------------------------------------------------------------------