TSTP Solution File: SWW379+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW379+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:50:09 EDT 2024
% Result : Theorem 62.88s 8.72s
% Output : CNFRefutation 65.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW379+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 23:06:35 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.60/0.79 % Drodi V3.6.0
% 62.88/8.72 % Refutation found
% 62.88/8.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 62.88/8.72 % SZS output start CNFRefutation for theBenchmark
% 62.88/8.72 fof(f21,axiom,(
% 62.88/8.72 (! [V_x_2,V_g_2,V_f_2,T_b,T_a] :( class_Lattices_Olattice(T_a)=> hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f22,axiom,(
% 62.88/8.72 (! [V_x_2,T_b,T_a] :( class_Orderings_Obot(T_a)=> hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f24,axiom,(
% 62.88/8.72 (! [V_a_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f30,axiom,(
% 62.88/8.72 (! [V_A_2,V_x_2,T_a] :( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))<=> hBOOL(hAPP(V_A_2,V_x_2)) ) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f31,axiom,(
% 62.88/8.72 (! [V_y_2,V_x_2,T_a] :( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2)))<=> V_x_2 = V_y_2 ) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f38,axiom,(
% 62.88/8.72 (! [V_A_2,T_a] :( (? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)))<=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f40,axiom,(
% 62.88/8.72 (! [V_A_2,V_a_2,T_a] :( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))=> hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = V_A_2 ) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f58,axiom,(
% 62.88/8.72 (! [V_x_2,V_A_2,V_y_2,T_a] :( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2))<=> ( V_y_2 = V_x_2| hBOOL(hAPP(V_A_2,V_x_2)) ) ) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f91,axiom,(
% 62.88/8.72 (! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f101,axiom,(
% 62.88/8.72 (! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f166,axiom,(
% 62.88/8.72 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f181,axiom,(
% 62.88/8.72 (! [V_a_2,V_A_2,T_a] :( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))) ) )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f811,axiom,(
% 62.88/8.72 (! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f2779,axiom,(
% 62.88/8.72 (! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f3302,axiom,(
% 62.88/8.72 (! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f3867,axiom,(
% 62.88/8.72 (! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs )),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f5057,axiom,(
% 62.88/8.72 class_Rings_Osemiring__1(tc_Int_Oint) ),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f5111,axiom,(
% 62.88/8.72 class_Orderings_Olinorder(tc_Nat_Onat) ),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f5114,axiom,(
% 62.88/8.72 class_Rings_Osemiring__1(tc_Nat_Onat) ),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f5131,axiom,(
% 62.88/8.72 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f5132,axiom,(
% 62.88/8.72 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ),
% 62.88/8.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.88/8.72 fof(f5138,axiom,(
% 62.88/8.72 class_Lattices_Olattice(tc_HOL_Obool) ),
% 63.46/8.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.46/8.73 fof(f5142,axiom,(
% 63.46/8.73 class_Orderings_Obot(tc_HOL_Obool) ),
% 63.46/8.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.46/8.73 fof(f5222,axiom,(
% 63.46/8.73 (! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) )),
% 63.46/8.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 63.46/8.73 fof(f5295,plain,(
% 63.46/8.73 ![V_x_2,V_g_2,V_f_2,T_b,T_a]: (~class_Lattices_Olattice(T_a)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)))),
% 63.46/8.73 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 63.46/8.73 fof(f5296,plain,(
% 63.46/8.73 ![T_a]: (~class_Lattices_Olattice(T_a)|(![V_x_2,V_g_2,V_f_2,T_b]: hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))))),
% 63.46/8.73 inference(miniscoping,[status(esa)],[f5295])).
% 63.46/8.73 fof(f5297,plain,(
% 63.46/8.73 ![X0,X1,X2,X3,X4]: (~class_Lattices_Olattice(X0)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,X0)),X2),X3),X4)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(X0),hAPP(X2,X4)),hAPP(X3,X4)))),
% 63.46/8.73 inference(cnf_transformation,[status(esa)],[f5296])).
% 63.46/8.73 fof(f5298,plain,(
% 63.46/8.73 ![V_x_2,T_b,T_a]: (~class_Orderings_Obot(T_a)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Obot__class_Obot(T_a))),
% 63.46/8.73 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 63.46/8.73 fof(f5299,plain,(
% 63.46/8.73 ![T_a]: (~class_Orderings_Obot(T_a)|(![V_x_2,T_b]: hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Obot__class_Obot(T_a)))),
% 63.46/8.73 inference(miniscoping,[status(esa)],[f5298])).
% 63.46/8.73 fof(f5300,plain,(
% 63.46/8.73 ![X0,X1,X2]: (~class_Orderings_Obot(X0)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X0)),X2)=c_Orderings_Obot__class_Obot(X0))),
% 63.46/8.73 inference(cnf_transformation,[status(esa)],[f5299])).
% 63.46/8.73 fof(f5307,plain,(
% 63.46/8.73 ![X0,X1]: (~hBOOL(hAPP(hAPP(c_member(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))))),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f24])).
% 63.46/8.74 fof(f5321,plain,(
% 63.46/8.74 ![V_A_2,V_x_2,T_a]: ((~hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hBOOL(hAPP(V_A_2,V_x_2)))&(hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|~hBOOL(hAPP(V_A_2,V_x_2))))),
% 63.46/8.74 inference(NNF_transformation,[status(esa)],[f30])).
% 63.46/8.74 fof(f5322,plain,(
% 63.46/8.74 (![V_A_2,V_x_2]: ((![T_a]: ~hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)))|hBOOL(hAPP(V_A_2,V_x_2))))&(![V_A_2,V_x_2]: ((![T_a]: hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)))|~hBOOL(hAPP(V_A_2,V_x_2))))),
% 63.46/8.74 inference(miniscoping,[status(esa)],[f5321])).
% 63.46/8.74 fof(f5324,plain,(
% 63.46/8.74 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(c_member(X0),X1),X2))|~hBOOL(hAPP(X2,X1)))),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5322])).
% 63.46/8.74 fof(f5325,plain,(
% 63.46/8.74 ![V_y_2,V_x_2,T_a]: ((~hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2)))|V_x_2=V_y_2)&(hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2)))|~V_x_2=V_y_2))),
% 63.46/8.74 inference(NNF_transformation,[status(esa)],[f31])).
% 63.46/8.74 fof(f5326,plain,(
% 63.46/8.74 (![V_y_2,V_x_2]: ((![T_a]: ~hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2))))|V_x_2=V_y_2))&(![V_y_2,V_x_2]: ((![T_a]: hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2))))|~V_x_2=V_y_2))),
% 63.46/8.74 inference(miniscoping,[status(esa)],[f5325])).
% 63.46/8.74 fof(f5328,plain,(
% 63.46/8.74 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(c_member(X0),X1),hAPP(c_fequal,X2)))|~X1=X2)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5326])).
% 63.46/8.74 fof(f5350,plain,(
% 63.46/8.74 ![V_A_2,T_a]: (((![B_x]: ~hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)))|~V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))&((?[B_x]: hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),
% 63.46/8.74 inference(NNF_transformation,[status(esa)],[f38])).
% 63.46/8.74 fof(f5351,plain,(
% 63.46/8.74 (![V_A_2,T_a]: ((![B_x]: ~hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)))|~V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))&(![V_A_2,T_a]: ((?[B_x]: hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),
% 63.46/8.74 inference(miniscoping,[status(esa)],[f5350])).
% 63.46/8.74 fof(f5352,plain,(
% 63.46/8.74 (![V_A_2,T_a]: ((![B_x]: ~hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)))|~V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))&(![V_A_2,T_a]: (hBOOL(hAPP(hAPP(c_member(T_a),sk0_1(T_a,V_A_2)),V_A_2))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),
% 63.46/8.74 inference(skolemization,[status(esa)],[f5351])).
% 63.46/8.74 fof(f5354,plain,(
% 63.46/8.74 ![X0,X1]: (hBOOL(hAPP(hAPP(c_member(X0),sk0_1(X0,X1)),X1))|X1=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5352])).
% 63.46/8.74 fof(f5360,plain,(
% 63.46/8.74 ![V_A_2,V_a_2,T_a]: (~hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))|hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)=V_A_2)),
% 63.46/8.74 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 63.46/8.74 fof(f5361,plain,(
% 63.46/8.74 ![X0,X1,X2]: (~hBOOL(hAPP(hAPP(c_member(X0),X1),X2))|hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)=X2)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5360])).
% 63.46/8.74 fof(f5422,plain,(
% 63.46/8.74 ![V_x_2,V_A_2,V_y_2,T_a]: ((~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2))|(V_y_2=V_x_2|hBOOL(hAPP(V_A_2,V_x_2))))&(hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2))|(~V_y_2=V_x_2&~hBOOL(hAPP(V_A_2,V_x_2)))))),
% 63.46/8.74 inference(NNF_transformation,[status(esa)],[f58])).
% 63.46/8.74 fof(f5423,plain,(
% 63.46/8.74 (![V_x_2,V_A_2,V_y_2]: ((![T_a]: ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2)))|(V_y_2=V_x_2|hBOOL(hAPP(V_A_2,V_x_2)))))&(![V_x_2,V_A_2,V_y_2]: ((![T_a]: hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2)))|(~V_y_2=V_x_2&~hBOOL(hAPP(V_A_2,V_x_2)))))),
% 63.46/8.74 inference(miniscoping,[status(esa)],[f5422])).
% 63.46/8.74 fof(f5425,plain,(
% 63.46/8.74 ![X0,X1,X2,X3]: (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X3))|~X1=X3)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5423])).
% 63.46/8.74 fof(f5524,plain,(
% 63.46/8.74 ![X0,X1,X2]: (~hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f91])).
% 63.46/8.74 fof(f5553,plain,(
% 63.46/8.74 ![X0,X1]: (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),X1)=X1)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f101])).
% 63.46/8.74 fof(f5710,plain,(
% 63.46/8.74 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f166])).
% 63.46/8.74 fof(f5752,plain,(
% 63.46/8.74 ![V_a_2,V_A_2,T_a]: (~hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))|hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))))),
% 63.46/8.74 inference(pre_NNF_transformation,[status(esa)],[f181])).
% 63.46/8.74 fof(f5753,plain,(
% 63.46/8.74 ![V_A_2,T_a]: (~hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))|(![V_a_2]: hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)))))),
% 63.46/8.74 inference(miniscoping,[status(esa)],[f5752])).
% 63.46/8.74 fof(f5754,plain,(
% 63.46/8.74 ![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))))),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5753])).
% 63.46/8.74 fof(f7525,plain,(
% 63.46/8.74 ![X0]: (~hAPP(c_Nat_OSuc,X0)=X0)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f811])).
% 63.46/8.74 fof(f13911,plain,(
% 63.46/8.74 ![X0]: (hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0)=X0)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f2779])).
% 63.46/8.74 fof(f15332,plain,(
% 63.46/8.74 ![X0]: (hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0)=X0)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f3302])).
% 63.46/8.74 fof(f16733,plain,(
% 63.46/8.74 ![X0,X1,X2]: (~hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2)=X2)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f3867])).
% 63.46/8.74 fof(f19783,plain,(
% 63.46/8.74 class_Rings_Osemiring__1(tc_Int_Oint)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5057])).
% 63.46/8.74 fof(f19837,plain,(
% 63.46/8.74 class_Orderings_Olinorder(tc_Nat_Onat)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5111])).
% 63.46/8.74 fof(f19840,plain,(
% 63.46/8.74 class_Rings_Osemiring__1(tc_Nat_Onat)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5114])).
% 63.46/8.74 fof(f19857,plain,(
% 63.46/8.74 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5131])).
% 63.46/8.74 fof(f19858,plain,(
% 63.46/8.74 class_Lattices_Osemilattice__sup(tc_HOL_Obool)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5132])).
% 63.46/8.74 fof(f19864,plain,(
% 63.46/8.74 class_Lattices_Olattice(tc_HOL_Obool)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5138])).
% 63.46/8.74 fof(f19868,plain,(
% 63.46/8.74 class_Orderings_Obot(tc_HOL_Obool)),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5142])).
% 63.46/8.74 fof(f19955,plain,(
% 63.46/8.74 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5)=hAPP(hAPP(X3,X5),hAPP(X4,X5)))),
% 63.46/8.74 inference(cnf_transformation,[status(esa)],[f5222])).
% 63.46/8.74 fof(f20294,plain,(
% 63.46/8.74 ![X0,X1]: (hBOOL(hAPP(hAPP(c_member(X0),X1),hAPP(c_fequal,X1))))),
% 63.46/8.74 inference(destructive_equality_resolution,[status(esa)],[f5328])).
% 63.46/8.74 fof(f20302,plain,(
% 63.46/8.74 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X1)))),
% 63.46/8.74 inference(destructive_equality_resolution,[status(esa)],[f5425])).
% 63.46/8.74 fof(f20790,plain,(
% 63.46/8.74 ![X0,X1]: (hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(c_fequal,X1))=hAPP(c_fequal,X1))),
% 63.46/8.74 inference(resolution,[status(thm)],[f5361,f20294])).
% 63.46/8.74 fof(f20799,plain,(
% 63.46/8.74 ![X0,X1]: (~hAPP(c_fequal,X0)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
% 63.46/8.74 inference(paramodulation,[status(thm)],[f20790,f5524])).
% 63.46/8.74 fof(f21237,plain,(
% 63.46/8.74 spl0_28 <=> ~hBOOL(hAPP(c_Finite__Set_Ofinite(X0),X1))|X1=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f21238,plain,(
% 63.46/8.74 ![X0,X1]: (~hBOOL(hAPP(c_Finite__Set_Ofinite(X0),X1))|X1=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))|~spl0_28)),
% 63.46/8.74 inference(component_clause,[status(thm)],[f21237])).
% 63.46/8.74 fof(f21261,plain,(
% 63.46/8.74 ![X0,X1,X2]: (hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))|~hBOOL(hAPP(c_Finite__Set_Ofinite(X0),X2))|~spl0_28)),
% 63.46/8.74 inference(resolution,[status(thm)],[f21238,f5754])).
% 63.46/8.74 fof(f21729,plain,(
% 63.46/8.74 spl0_35 <=> class_Lattices_Olattice(tc_HOL_Obool)),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f21731,plain,(
% 63.46/8.74 ~class_Lattices_Olattice(tc_HOL_Obool)|spl0_35),
% 63.46/8.74 inference(component_clause,[status(thm)],[f21729])).
% 63.46/8.74 fof(f21732,plain,(
% 63.46/8.74 spl0_36 <=> hAPP(X0,X1)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),X1)),hAPP(X0,X1))),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f21733,plain,(
% 63.46/8.74 ![X0,X1,X2]: (hAPP(X0,X1)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),X1)),hAPP(X0,X1))|~spl0_36)),
% 63.46/8.74 inference(component_clause,[status(thm)],[f21732])).
% 63.46/8.74 fof(f21735,plain,(
% 63.46/8.74 ![X0,X1,X2]: (~class_Lattices_Olattice(tc_HOL_Obool)|hAPP(X0,X1)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),X1)),hAPP(X0,X1)))),
% 63.46/8.74 inference(paramodulation,[status(thm)],[f5553,f5297])).
% 63.46/8.74 fof(f21736,plain,(
% 63.46/8.74 ~spl0_35|spl0_36),
% 63.46/8.74 inference(split_clause,[status(thm)],[f21735,f21729,f21732])).
% 63.46/8.74 fof(f22360,plain,(
% 63.46/8.74 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1)))),
% 63.46/8.74 inference(resolution,[status(thm)],[f5324,f5307])).
% 63.46/8.74 fof(f22872,plain,(
% 63.46/8.74 ![X0,X1]: (X0=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|hAPP(hAPP(c_Set_Oinsert(X1),sk0_1(X1,X0)),X0)=X0)),
% 63.46/8.74 inference(resolution,[status(thm)],[f5354,f5361])).
% 63.46/8.74 fof(f23454,plain,(
% 63.46/8.74 ![X0,X1]: (hBOOL(hAPP(X0,sk0_1(X1,X0)))|X0=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
% 63.46/8.74 inference(paramodulation,[status(thm)],[f22872,f20302])).
% 63.46/8.74 fof(f23555,plain,(
% 63.46/8.74 ![X0,X1]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
% 63.46/8.74 inference(resolution,[status(thm)],[f23454,f22360])).
% 63.46/8.74 fof(f23591,plain,(
% 63.46/8.74 spl0_86 <=> class_Orderings_Obot(tc_HOL_Obool)),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f23593,plain,(
% 63.46/8.74 ~class_Orderings_Obot(tc_HOL_Obool)|spl0_86),
% 63.46/8.74 inference(component_clause,[status(thm)],[f23591])).
% 63.46/8.74 fof(f23594,plain,(
% 63.46/8.74 spl0_87 <=> hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1)=c_Orderings_Obot__class_Obot(tc_HOL_Obool)),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f23595,plain,(
% 63.46/8.74 ![X0,X1]: (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1)=c_Orderings_Obot__class_Obot(tc_HOL_Obool)|~spl0_87)),
% 63.46/8.74 inference(component_clause,[status(thm)],[f23594])).
% 63.46/8.74 fof(f23597,plain,(
% 63.46/8.74 ![X0,X1]: (~class_Orderings_Obot(tc_HOL_Obool)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1)=c_Orderings_Obot__class_Obot(tc_HOL_Obool))),
% 63.46/8.74 inference(paramodulation,[status(thm)],[f23555,f5300])).
% 63.46/8.74 fof(f23598,plain,(
% 63.46/8.74 ~spl0_86|spl0_87),
% 63.46/8.74 inference(split_clause,[status(thm)],[f23597,f23591,f23594])).
% 63.46/8.74 fof(f25616,plain,(
% 63.46/8.74 spl0_137 <=> hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn))))=c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f25617,plain,(
% 63.46/8.74 hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn))))=c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))|~spl0_137),
% 63.46/8.74 inference(component_clause,[status(thm)],[f25616])).
% 63.46/8.74 fof(f26176,plain,(
% 63.46/8.74 $false|spl0_35),
% 63.46/8.74 inference(forward_subsumption_resolution,[status(thm)],[f19864,f21731])).
% 63.46/8.74 fof(f26177,plain,(
% 63.46/8.74 spl0_35),
% 63.46/8.74 inference(contradiction_clause,[status(thm)],[f26176])).
% 63.46/8.74 fof(f26178,plain,(
% 63.46/8.74 $false|spl0_86),
% 63.46/8.74 inference(forward_subsumption_resolution,[status(thm)],[f19868,f23593])).
% 63.46/8.74 fof(f26179,plain,(
% 63.46/8.74 spl0_86),
% 63.46/8.74 inference(contradiction_clause,[status(thm)],[f26178])).
% 63.46/8.74 fof(f26694,plain,(
% 63.46/8.74 spl0_166 <=> class_Lattices_Osemilattice__sup(tc_HOL_Obool)),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f26696,plain,(
% 63.46/8.74 ~class_Lattices_Osemilattice__sup(tc_HOL_Obool)|spl0_166),
% 63.46/8.74 inference(component_clause,[status(thm)],[f26694])).
% 63.46/8.74 fof(f27019,plain,(
% 63.46/8.74 ![X0,X1]: (hAPP(X0,X1)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool)),hAPP(X0,X1))|~spl0_87|~spl0_36)),
% 63.46/8.74 inference(forward_demodulation,[status(thm)],[f23595,f21733])).
% 63.46/8.74 fof(f27215,plain,(
% 63.46/8.74 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool))),hAPP(X4,X5))=hAPP(hAPP(X3,hAPP(X4,X5)),hAPP(X4,X5))|~spl0_87|~spl0_36)),
% 63.46/8.74 inference(paramodulation,[status(thm)],[f27019,f19955])).
% 63.46/8.74 fof(f28396,plain,(
% 63.46/8.74 $false|~spl0_137),
% 63.46/8.74 inference(forward_subsumption_resolution,[status(thm)],[f25617,f20799])).
% 63.46/8.74 fof(f28397,plain,(
% 63.46/8.74 ~spl0_137),
% 63.46/8.74 inference(contradiction_clause,[status(thm)],[f28396])).
% 63.46/8.74 fof(f28759,plain,(
% 63.46/8.74 $false|spl0_166),
% 63.46/8.74 inference(forward_subsumption_resolution,[status(thm)],[f26696,f19858])).
% 63.46/8.74 fof(f28760,plain,(
% 63.46/8.74 spl0_166),
% 63.46/8.74 inference(contradiction_clause,[status(thm)],[f28759])).
% 63.46/8.74 fof(f44719,plain,(
% 63.46/8.74 spl0_476 <=> class_Lattices_Obounded__lattice__bot(tc_HOL_Obool)),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f44721,plain,(
% 63.46/8.74 ~class_Lattices_Obounded__lattice__bot(tc_HOL_Obool)|spl0_476),
% 63.46/8.74 inference(component_clause,[status(thm)],[f44719])).
% 63.46/8.74 fof(f44830,plain,(
% 63.46/8.74 $false|spl0_476),
% 63.46/8.74 inference(forward_subsumption_resolution,[status(thm)],[f44721,f19857])).
% 63.46/8.74 fof(f44831,plain,(
% 63.46/8.74 spl0_476),
% 63.46/8.74 inference(contradiction_clause,[status(thm)],[f44830])).
% 63.46/8.74 fof(f53509,plain,(
% 63.46/8.74 spl0_583 <=> ~c_Hoare__Mirabelle_OMGT(X0)=c_Hoare__Mirabelle_OMGT(X1)),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f53510,plain,(
% 63.46/8.74 ![X0,X1]: (~c_Hoare__Mirabelle_OMGT(X0)=c_Hoare__Mirabelle_OMGT(X1)|~spl0_583)),
% 63.46/8.74 inference(component_clause,[status(thm)],[f53509])).
% 63.46/8.74 fof(f53816,plain,(
% 63.46/8.74 $false|~spl0_583),
% 63.46/8.74 inference(equality_resolution,[status(esa)],[f53510])).
% 63.46/8.74 fof(f53817,plain,(
% 63.46/8.74 ~spl0_583),
% 63.46/8.74 inference(contradiction_clause,[status(thm)],[f53816])).
% 63.46/8.74 fof(f55460,plain,(
% 63.46/8.74 spl0_615 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0)=c_Orderings_Obot__class_Obot(tc_HOL_Obool)),
% 63.46/8.74 introduced(split_symbol_definition)).
% 63.46/8.74 fof(f55461,plain,(
% 63.46/8.74 ![X0]: (hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0)=c_Orderings_Obot__class_Obot(tc_HOL_Obool)|~spl0_615)),
% 65.02/8.95 inference(component_clause,[status(thm)],[f55460])).
% 65.02/8.95 fof(f55467,plain,(
% 65.02/8.95 ![X0]: (X0=c_Orderings_Obot__class_Obot(tc_HOL_Obool)|~spl0_615)),
% 65.02/8.95 inference(forward_demodulation,[status(thm)],[f13911,f55461])).
% 65.02/8.95 fof(f55468,plain,(
% 65.02/8.95 $false|~spl0_615),
% 65.02/8.95 inference(resolution,[status(thm)],[f55467,f7525])).
% 65.02/8.95 fof(f55469,plain,(
% 65.02/8.95 ~spl0_615),
% 65.02/8.95 inference(contradiction_clause,[status(thm)],[f55468])).
% 65.02/8.95 fof(f55471,plain,(
% 65.02/8.95 spl0_616 <=> hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0)=c_Orderings_Obot__class_Obot(tc_HOL_Obool)),
% 65.02/8.95 introduced(split_symbol_definition)).
% 65.02/8.95 fof(f55472,plain,(
% 65.02/8.95 ![X0]: (hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0)=c_Orderings_Obot__class_Obot(tc_HOL_Obool)|~spl0_616)),
% 65.02/8.95 inference(component_clause,[status(thm)],[f55471])).
% 65.02/8.95 fof(f55478,plain,(
% 65.02/8.95 ![X0]: (X0=c_Orderings_Obot__class_Obot(tc_HOL_Obool)|~spl0_616)),
% 65.02/8.95 inference(forward_demodulation,[status(thm)],[f15332,f55472])).
% 65.02/8.95 fof(f55479,plain,(
% 65.02/8.95 $false|~spl0_616),
% 65.02/8.95 inference(resolution,[status(thm)],[f55478,f7525])).
% 65.02/8.95 fof(f55480,plain,(
% 65.02/8.95 ~spl0_616),
% 65.02/8.95 inference(contradiction_clause,[status(thm)],[f55479])).
% 65.02/8.95 fof(f57339,plain,(
% 65.02/8.95 spl0_640 <=> class_Rings_Osemiring__1(tc_Int_Oint)),
% 65.02/8.95 introduced(split_symbol_definition)).
% 65.02/8.95 fof(f57341,plain,(
% 65.02/8.95 ~class_Rings_Osemiring__1(tc_Int_Oint)|spl0_640),
% 65.02/8.95 inference(component_clause,[status(thm)],[f57339])).
% 65.02/8.95 fof(f57347,plain,(
% 65.02/8.95 spl0_642 <=> class_Rings_Osemiring__1(tc_Nat_Onat)),
% 65.02/8.95 introduced(split_symbol_definition)).
% 65.02/8.95 fof(f57349,plain,(
% 65.02/8.95 ~class_Rings_Osemiring__1(tc_Nat_Onat)|spl0_642),
% 65.02/8.95 inference(component_clause,[status(thm)],[f57347])).
% 65.02/8.95 fof(f57355,plain,(
% 65.02/8.95 $false|spl0_642),
% 65.02/8.95 inference(forward_subsumption_resolution,[status(thm)],[f57349,f19840])).
% 65.02/8.95 fof(f57356,plain,(
% 65.02/8.95 spl0_642),
% 65.02/8.95 inference(contradiction_clause,[status(thm)],[f57355])).
% 65.02/8.95 fof(f57357,plain,(
% 65.02/8.95 $false|spl0_640),
% 65.02/8.95 inference(forward_subsumption_resolution,[status(thm)],[f57341,f19783])).
% 65.02/8.95 fof(f57358,plain,(
% 65.02/8.95 spl0_640),
% 65.02/8.95 inference(contradiction_clause,[status(thm)],[f57357])).
% 65.02/8.95 fof(f66961,plain,(
% 65.02/8.95 ![X0,X1]: (~hBOOL(hAPP(c_Finite__Set_Ofinite(X0),X1))|~spl0_28)),
% 65.02/8.95 inference(forward_subsumption_resolution,[status(thm)],[f21261,f5524])).
% 65.02/8.95 fof(f67293,plain,(
% 65.02/8.95 spl0_803 <=> class_Orderings_Olinorder(tc_Nat_Onat)),
% 65.02/8.95 introduced(split_symbol_definition)).
% 65.02/8.95 fof(f67295,plain,(
% 65.02/8.95 ~class_Orderings_Olinorder(tc_Nat_Onat)|spl0_803),
% 65.02/8.95 inference(component_clause,[status(thm)],[f67293])).
% 65.02/8.95 fof(f67301,plain,(
% 65.02/8.95 $false|spl0_803),
% 65.02/8.95 inference(forward_subsumption_resolution,[status(thm)],[f67295,f19837])).
% 65.02/8.95 fof(f67302,plain,(
% 65.02/8.95 spl0_803),
% 65.02/8.95 inference(contradiction_clause,[status(thm)],[f67301])).
% 65.02/8.95 fof(f67371,plain,(
% 65.02/8.95 $false|~spl0_28),
% 65.02/8.95 inference(backward_subsumption_resolution,[status(thm)],[f5710,f66961])).
% 65.02/8.95 fof(f67372,plain,(
% 65.02/8.95 ~spl0_28),
% 65.02/8.95 inference(contradiction_clause,[status(thm)],[f67371])).
% 65.02/8.95 fof(f70068,plain,(
% 65.02/8.95 ![X0,X1,X2,X3,X4,X5]: (~hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_List_Olist_OCons(X3)),X4),X5)=hAPP(X4,X5))),
% 65.02/8.95 inference(paramodulation,[status(thm)],[f19955,f16733])).
% 65.02/8.95 fof(f70708,plain,(
% 65.02/8.95 $false|~spl0_87|~spl0_36),
% 65.02/8.95 inference(resolution,[status(thm)],[f70068,f27215])).
% 65.02/8.95 fof(f70709,plain,(
% 65.02/8.95 ~spl0_87|~spl0_36),
% 65.02/8.95 inference(contradiction_clause,[status(thm)],[f70708])).
% 65.02/8.95 fof(f70710,plain,(
% 65.02/8.95 $false),
% 65.02/8.95 inference(sat_refutation,[status(thm)],[f21736,f23598,f26177,f26179,f28397,f28760,f44831,f53817,f55469,f55480,f57356,f57358,f67302,f67372,f70709])).
% 65.02/8.95 % SZS output end CNFRefutation for theBenchmark.p
% 65.29/9.00 % Elapsed time: 8.631823 seconds
% 65.29/9.00 % CPU time: 64.321214 seconds
% 65.29/9.00 % Total memory used: 1.219 GB
% 65.29/9.00 % Net memory used: 1.212 GB
%------------------------------------------------------------------------------