TSTP Solution File: SCT033-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SCT033-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:38:12 EDT 2024
% Result : Unsatisfiable 66.58s 8.80s
% Output : CNFRefutation 67.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SCT033-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n017.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 19:42:33 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 66.58/8.80 % Refutation found
% 66.58/8.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 66.58/8.80 % SZS output start CNFRefutation for theBenchmark
% 66.58/8.80 fof(f3,axiom,(
% 66.58/8.80 (![V_a,V_A,T_a]: (c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f13,axiom,(
% 66.58/8.80 (![T_a,V_f,V_A,T_b]: (( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)| V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f17,axiom,(
% 66.58/8.80 (![V_P,V_a,V_r,T_a]: (( hBOOL(hAPP(V_P,V_a))| ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a)))| ~ c_Wellfounded_Owf(V_r,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f27,axiom,(
% 66.58/8.80 (![V_c,T_b,T_a,V_A,V_x]: (( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| ~ c_in(V_x,V_A,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f39,axiom,(
% 66.58/8.80 (![V_A,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f40,axiom,(
% 66.58/8.80 (![T_a,V_x]: (( ~ class_Lattices_Oupper__semilattice(T_a)| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f49,axiom,(
% 66.58/8.80 (![V_P,T_a,T_b,V_Q]: (hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f55,axiom,(
% 66.58/8.80 (![V_f,T_b,T_a]: (c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f119,axiom,(
% 66.58/8.80 (![T_a,V_B]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f124,axiom,(
% 66.58/8.80 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f127,axiom,(
% 66.58/8.80 (![V_c,T_a,T_b,V_A]: (( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)| V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f194,axiom,(
% 66.58/8.80 (![T_a]: (c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f253,axiom,(
% 66.58/8.80 (![V_a,V_b,V_A,T_a]: (( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| ~ c_in(V_a,V_A,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f260,axiom,(
% 66.58/8.80 (![V_c,V_A,V_B,T_a]: (( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| ~ c_in(V_c,V_B,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f279,axiom,(
% 66.58/8.80 (![T_a,T_b,V_a,V_b]: (hAPP(c_fst(T_a,T_b),c_Pair(V_a,V_b,T_a,T_b)) = V_a ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f281,axiom,(
% 66.58/8.80 (![T_b,T_a,V_a,V_b]: (hAPP(c_snd(T_b,T_a),c_Pair(V_a,V_b,T_b,T_a)) = V_b ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f387,axiom,(
% 66.58/8.80 (![V_i]: (( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P_H____(V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f449,axiom,(
% 66.58/8.80 (![V_p,V_r,T_a]: (( c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f450,axiom,(
% 66.58/8.80 (![V_p,V_r,T_a]: (( c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f471,axiom,(
% 66.58/8.80 (![V_x,V_r,T_a]: (( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)| ~ c_Wellfounded_Owf(V_r,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f522,axiom,(
% 66.58/8.80 (![V_Q,V_r,T_a,V_xa]: (( c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),V_Q,T_a)| ~ c_in(V_xa,V_Q,T_a)| ~ c_Wellfounded_Owf(V_r,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f583,axiom,(
% 66.58/8.80 (![V_x,T_a,V_r]: (( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_Relation_Oirrefl(V_r,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f590,axiom,(
% 66.58/8.80 (![V_a,T_a,V_r]: (c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f599,axiom,(
% 66.58/8.80 (![V_x,T_a,V_r]: (( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_Nitpick_Orefl_H(V_r,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f600,axiom,(
% 66.58/8.80 (![V_a,T_a,V_r]: (( ~ c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_Wellfounded_Owf(V_r,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f647,axiom,(
% 66.58/8.80 (![V_x,V_S,T_a]: (( c_in(V_x,V_S,T_a)| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f648,axiom,(
% 66.58/8.80 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ c_in(V_x,V_S,T_a) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f649,axiom,(
% 66.58/8.80 c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) ),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f650,axiom,(
% 66.58/8.80 c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) ),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f652,axiom,(
% 66.58/8.80 (![V_a,V_b,V_xa,V_x]: (( c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| ~ c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f653,axiom,(
% 66.58/8.80 (![V_a,V_b,V_x,V_xa]: (( c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| ~ c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f654,axiom,(
% 66.58/8.80 (![V_a,V_b,V_xa,V_x]: (( c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| ~ c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f655,axiom,(
% 66.58/8.80 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f656,axiom,(
% 66.58/8.80 (![V_i]: (( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f657,axiom,(
% 66.58/8.80 (![V_i]: (( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f658,negated_conjecture,(
% 66.58/8.80 ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f659,axiom,(
% 66.58/8.80 (![T_2,T_1]: (( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| ~ class_Lattices_Olattice(T_1) ) ))),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f673,axiom,(
% 66.58/8.80 class_Lattices_Olattice(tc_bool) ),
% 66.58/8.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 66.58/8.80 fof(f681,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f3])).
% 66.58/8.80 fof(f692,plain,(
% 66.58/8.80 ![V_A,T_b]: ((![T_a,V_f]: ~c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,V_A,T_b,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f13])).
% 66.58/8.80 fof(f693,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oimage(X1,X2,X3,X0)|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f692])).
% 66.58/8.80 fof(f699,plain,(
% 66.58/8.80 ![V_r,T_a]: ((![V_P]: ((![V_a]: hBOOL(hAPP(V_P,V_a)))|~hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a)))))|~c_Wellfounded_Owf(V_r,T_a))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f17])).
% 66.58/8.80 fof(f700,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|~hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(X0,X2,X3)))|~c_Wellfounded_Owf(X2,X3))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f699])).
% 66.58/8.80 fof(f715,plain,(
% 66.58/8.80 ![T_a,V_A]: ((![V_c,T_b]: c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b))|(![V_x]: ~c_in(V_x,V_A,T_a)))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f27])).
% 66.58/8.80 fof(f716,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (c_Set_Oimage(c_COMBK(X0,X1,X2),X3,X2,X1)=c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)|~c_in(X4,X3,X2))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f715])).
% 66.58/8.80 fof(f731,plain,(
% 66.58/8.80 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool))=X0)),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f39])).
% 66.58/8.80 fof(f732,plain,(
% 66.58/8.80 ![T_a]: (~class_Lattices_Oupper__semilattice(T_a)|(![V_x]: c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f40])).
% 66.58/8.80 fof(f733,plain,(
% 66.58/8.80 ![X0,X1]: (~class_Lattices_Oupper__semilattice(X0)|c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X0)=X1)),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f732])).
% 66.58/8.80 fof(f744,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (hAPP(c_COMBK(X0,X1,X2),X3)=X0)),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f49])).
% 66.58/8.80 fof(f753,plain,(
% 66.58/8.80 ![X0,X1,X2]: (c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f55])).
% 66.58/8.80 fof(f851,plain,(
% 66.58/8.80 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool))=X1)),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f119])).
% 66.58/8.80 fof(f857,plain,(
% 66.58/8.80 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f124])).
% 66.58/8.80 fof(f860,plain,(
% 66.58/8.80 ![T_b,V_A]: ((![V_c,T_a]: c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f127])).
% 66.58/8.80 fof(f861,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_Set_Oimage(c_COMBK(X0,X1,X2),X3,X2,X1)=c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)|X3=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f860])).
% 66.58/8.80 fof(f955,plain,(
% 66.58/8.80 ![X0]: (c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_bool)),X0))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f194])).
% 66.58/8.80 fof(f1046,plain,(
% 66.58/8.80 ![V_a,V_A,T_a]: ((![V_b]: c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))|~c_in(V_a,V_A,T_a))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f253])).
% 66.58/8.80 fof(f1047,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_in(X0,c_Set_Oinsert(X1,X2,X3),X3)|~c_in(X0,X2,X3))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1046])).
% 66.58/8.80 fof(f1060,plain,(
% 66.58/8.80 ![V_c,V_B,T_a]: ((![V_A]: c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|~c_in(V_c,V_B,T_a))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f260])).
% 66.58/8.80 fof(f1061,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_in(X0,X2,X3))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1060])).
% 66.58/8.80 fof(f1089,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (hAPP(c_fst(X0,X1),c_Pair(X2,X3,X0,X1))=X2)),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f279])).
% 66.58/8.80 fof(f1091,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (hAPP(c_snd(X0,X1),c_Pair(X2,X3,X0,X1))=X3)),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f281])).
% 66.58/8.80 fof(f1252,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P_H____(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f387])).
% 66.58/8.80 fof(f1336,plain,(
% 66.58/8.80 ![X0,X1,X2]: (c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))|~c_in(X0,X1,tc_prod(X2,X2)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f449])).
% 66.58/8.80 fof(f1337,plain,(
% 66.58/8.80 ![X0,X1,X2]: (c_in(X0,c_Transitive__Closure_Otrancl(X1,X2),tc_prod(X2,X2))|~c_in(X0,X1,tc_prod(X2,X2)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f450])).
% 66.58/8.80 fof(f1369,plain,(
% 66.58/8.80 ![V_r,T_a]: ((![V_x]: c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a))|~c_Wellfounded_Owf(V_r,T_a))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f471])).
% 66.58/8.80 fof(f1370,plain,(
% 66.58/8.80 ![X0,X1,X2]: (c_in(X0,c_Wellfounded_Oacc(X1,X2),X2)|~c_Wellfounded_Owf(X1,X2))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1369])).
% 66.58/8.80 fof(f1428,plain,(
% 66.58/8.80 ![V_r,T_a]: ((![V_Q]: (c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),V_Q,T_a)|(![V_xa]: ~c_in(V_xa,V_Q,T_a))))|~c_Wellfounded_Owf(V_r,T_a))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f522])).
% 66.58/8.80 fof(f1429,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X0,X1,X2),X0,X2)|~c_in(X3,X0,X2)|~c_Wellfounded_Owf(X1,X2))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1428])).
% 66.58/8.80 fof(f1516,plain,(
% 66.58/8.80 ![T_a,V_r]: ((![V_x]: ~c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~c_Relation_Oirrefl(V_r,T_a))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f583])).
% 66.58/8.80 fof(f1517,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))|~c_Relation_Oirrefl(X2,X1))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1516])).
% 66.58/8.80 fof(f1529,plain,(
% 66.58/8.80 ![X0,X1,X2]: (c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f590])).
% 66.58/8.80 fof(f1545,plain,(
% 66.58/8.80 ![T_a,V_r]: ((![V_x]: c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~c_Nitpick_Orefl_H(V_r,T_a))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f599])).
% 66.58/8.80 fof(f1546,plain,(
% 66.58/8.80 ![X0,X1,X2]: (c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))|~c_Nitpick_Orefl_H(X2,X1))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1545])).
% 66.58/8.80 fof(f1547,plain,(
% 66.58/8.80 ![T_a,V_r]: ((![V_a]: ~c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~c_Wellfounded_Owf(V_r,T_a))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f600])).
% 66.58/8.80 fof(f1548,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))|~c_Wellfounded_Owf(X2,X1))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1547])).
% 66.58/8.80 fof(f1630,plain,(
% 66.58/8.80 ![V_x,V_S]: ((![T_a]: c_in(V_x,V_S,T_a))|~hBOOL(hAPP(V_S,V_x)))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f647])).
% 66.58/8.80 fof(f1631,plain,(
% 66.58/8.80 ![X0,X1,X2]: (c_in(X0,X1,X2)|~hBOOL(hAPP(X1,X0)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1630])).
% 66.58/8.80 fof(f1632,plain,(
% 66.58/8.80 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~c_in(V_x,V_S,T_a)))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f648])).
% 66.58/8.80 fof(f1633,plain,(
% 66.58/8.80 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~c_in(X1,X0,X2))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1632])).
% 66.58/8.80 fof(f1634,plain,(
% 66.58/8.80 c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f649])).
% 66.58/8.80 fof(f1635,plain,(
% 66.58/8.80 c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f650])).
% 66.58/8.80 fof(f1638,plain,(
% 66.58/8.80 ![V_x]: ((![V_xa]: ((![V_a,V_b]: (((c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|~c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))))|~c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f652])).
% 66.58/8.80 fof(f1639,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__CHAINED__1(X0,X1,X3,X2)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X3,v_sko__CHAINED__1(X0,X1,X3,X2)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(X3,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1638])).
% 66.58/8.80 fof(f1640,plain,(
% 66.58/8.80 ![V_x]: ((![V_xa]: ((![V_a,V_b]: (((c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|~c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))))|~c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f653])).
% 66.58/8.80 fof(f1641,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X3,v_sko__CHAINED__1(X0,X1,X2,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__CHAINED__1(X0,X1,X2,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X3,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1640])).
% 66.58/8.80 fof(f1642,plain,(
% 66.58/8.80 ![V_x]: ((![V_xa]: ((![V_a,V_b]: (((c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__CHAINED__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|~c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))))|~c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f654])).
% 66.58/8.80 fof(f1643,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__CHAINED__1(X0,X1,X3,X2)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X3,v_sko__CHAINED__1(X0,X1,X3,X2)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(X3,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1642])).
% 66.58/8.80 fof(f1644,plain,(
% 66.58/8.80 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f655])).
% 66.58/8.80 fof(f1645,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f656])).
% 66.58/8.80 fof(f1646,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f657])).
% 66.58/8.80 fof(f1647,plain,(
% 66.58/8.80 ~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f658])).
% 66.58/8.80 fof(f1648,plain,(
% 66.58/8.80 ![T_1]: ((![T_2]: class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)))|~class_Lattices_Olattice(T_1))),
% 66.58/8.80 inference(miniscoping,[status(esa)],[f659])).
% 66.58/8.80 fof(f1649,plain,(
% 66.58/8.80 ![X0,X1]: (class_Lattices_Oupper__semilattice(tc_fun(X0,X1))|~class_Lattices_Olattice(X1))),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f1648])).
% 66.58/8.80 fof(f1671,plain,(
% 66.58/8.80 class_Lattices_Olattice(tc_bool)),
% 66.58/8.80 inference(cnf_transformation,[status(esa)],[f673])).
% 66.58/8.80 fof(f1724,plain,(
% 66.58/8.80 spl0_0 <=> ~class_Lattices_Oupper__semilattice(tc_fun(X0,tc_bool))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f1725,plain,(
% 66.58/8.80 ![X0]: (~class_Lattices_Oupper__semilattice(tc_fun(X0,tc_bool))|~spl0_0)),
% 66.58/8.80 inference(component_clause,[status(thm)],[f1724])).
% 66.58/8.80 fof(f1727,plain,(
% 66.58/8.80 spl0_1 <=> X1=X1),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f1730,plain,(
% 66.58/8.80 ![X0,X1]: (~class_Lattices_Oupper__semilattice(tc_fun(X0,tc_bool))|X1=X1)),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f731,f733])).
% 66.58/8.80 fof(f1731,plain,(
% 66.58/8.80 spl0_0|spl0_1),
% 66.58/8.80 inference(split_clause,[status(thm)],[f1730,f1724,f1727])).
% 66.58/8.80 fof(f1732,plain,(
% 66.58/8.80 ~class_Lattices_Olattice(tc_bool)|~spl0_0),
% 66.58/8.80 inference(resolution,[status(thm)],[f1725,f1649])).
% 66.58/8.80 fof(f1733,plain,(
% 66.58/8.80 $false|~spl0_0),
% 66.58/8.80 inference(forward_subsumption_resolution,[status(thm)],[f1732,f1671])).
% 66.58/8.80 fof(f1734,plain,(
% 66.58/8.80 ~spl0_0),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f1733])).
% 66.58/8.80 fof(f1799,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (c_in(X0,c_COMBK(X1,X2,X3),X4)|~hBOOL(X1))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f744,f1631])).
% 66.58/8.80 fof(f1800,plain,(
% 66.58/8.80 hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1633,f1634])).
% 66.58/8.80 fof(f1802,plain,(
% 66.58/8.80 ![X0]: (c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,X0))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1800,f1631])).
% 66.58/8.80 fof(f1817,plain,(
% 66.58/8.80 spl0_3 <=> hBOOL(hAPP(c_COMBK(X0,X1,X2),X3))|~hBOOL(X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f1820,plain,(
% 66.58/8.80 spl0_4 <=> ~c_Wellfounded_Owf(X4,X5)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f1821,plain,(
% 66.58/8.80 ![X0,X1]: (~c_Wellfounded_Owf(X0,X1)|~spl0_4)),
% 66.58/8.80 inference(component_clause,[status(thm)],[f1820])).
% 66.58/8.80 fof(f1823,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4,X5]: (hBOOL(hAPP(c_COMBK(X0,X1,X2),X3))|~hBOOL(X0)|~c_Wellfounded_Owf(X4,X5))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f744,f700])).
% 66.58/8.80 fof(f1824,plain,(
% 66.58/8.80 spl0_3|spl0_4),
% 66.58/8.80 inference(split_clause,[status(thm)],[f1823,f1817,f1820])).
% 66.58/8.80 fof(f1850,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~c_Wellfounded_Owf(X0,X1)|hBOOL(hAPP(c_Wellfounded_Oacc(X0,X1),X2)))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1370,f1633])).
% 66.58/8.80 fof(f1910,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (c_in(c_Pair(X0,X1,X2,X3),c_fst(X2,X3),X4)|~hBOOL(X0))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f1089,f1631])).
% 66.58/8.80 fof(f1911,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (c_in(c_Pair(X0,X1,X2,X3),c_snd(X2,X3),X4)|~hBOOL(X1))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f1091,f1631])).
% 66.58/8.80 fof(f1950,plain,(
% 66.58/8.80 spl0_9 <=> ~c_Wellfounded_Owf(X0,X1)|hBOOL(hAPP(c_Wellfounded_Oacc(X0,X1),X2))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f1953,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~c_Wellfounded_Owf(X0,X1)|hBOOL(hAPP(c_Wellfounded_Oacc(X0,X1),X2))|~c_Wellfounded_Owf(X3,X4))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1850,f700])).
% 66.58/8.80 fof(f1954,plain,(
% 66.58/8.80 spl0_9|spl0_4),
% 66.58/8.80 inference(split_clause,[status(thm)],[f1953,f1950,f1820])).
% 66.58/8.80 fof(f1956,plain,(
% 66.58/8.80 $false|~spl0_4),
% 66.58/8.80 inference(backward_subsumption_resolution,[status(thm)],[f955,f1821])).
% 66.58/8.80 fof(f1957,plain,(
% 66.58/8.80 ~spl0_4),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f1956])).
% 66.58/8.80 fof(f2035,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|hBOOL(hAPP(c_Set_Oinsert(X3,X1,X2),X0)))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1047,f1633])).
% 66.58/8.80 fof(f2333,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~c_in(X0,X1,X2)|c_in(X0,c_Set_Oinsert(X3,X1,X2),X4))),
% 66.58/8.80 inference(resolution,[status(thm)],[f2035,f1631])).
% 66.58/8.80 fof(f2521,plain,(
% 66.58/8.80 ![X0,X1,X2]: (hBOOL(hAPP(c_Transitive__Closure_Ortrancl(X0,X1),c_Pair(X2,X2,X1,X1))))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1529,f1633])).
% 66.58/8.80 fof(f3124,plain,(
% 66.58/8.80 spl0_13 <=> c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3125,plain,(
% 66.58/8.80 ![X0,X1]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)|~spl0_13)),
% 66.58/8.80 inference(component_clause,[status(thm)],[f3124])).
% 66.58/8.80 fof(f3127,plain,(
% 66.58/8.80 spl0_14 <=> ~c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3130,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)|~c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f753,f716])).
% 66.58/8.80 fof(f3131,plain,(
% 66.58/8.80 spl0_13|spl0_14),
% 66.58/8.80 inference(split_clause,[status(thm)],[f3130,f3124,f3127])).
% 66.58/8.80 fof(f3132,plain,(
% 66.58/8.80 spl0_15 <=> ~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3133,plain,(
% 66.58/8.80 ![X0]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))|~spl0_15)),
% 66.58/8.80 inference(component_clause,[status(thm)],[f3132])).
% 66.58/8.80 fof(f3135,plain,(
% 66.58/8.80 spl0_16 <=> c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3138,plain,(
% 66.58/8.80 ![X0,X1]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f753,f693])).
% 66.58/8.80 fof(f3139,plain,(
% 66.58/8.80 spl0_15|spl0_16),
% 66.58/8.80 inference(split_clause,[status(thm)],[f3138,f3132,f3135])).
% 66.58/8.80 fof(f3140,plain,(
% 66.58/8.80 $false|~spl0_15),
% 66.58/8.80 inference(trivial_equality_resolution,[status(esa)],[f3133])).
% 66.58/8.80 fof(f3141,plain,(
% 66.58/8.80 ~spl0_15),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f3140])).
% 66.58/8.80 fof(f3142,plain,(
% 66.58/8.80 $false|~spl0_13),
% 66.58/8.80 inference(forward_subsumption_resolution,[status(thm)],[f3125,f681])).
% 66.58/8.80 fof(f3143,plain,(
% 66.58/8.80 ~spl0_13),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f3142])).
% 66.58/8.80 fof(f3192,plain,(
% 66.58/8.80 spl0_17 <=> ~c_Relation_Oirrefl(c_snd(X0,X0),X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3195,plain,(
% 66.58/8.80 spl0_18 <=> ~hBOOL(X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3196,plain,(
% 66.58/8.80 ![X0]: (~hBOOL(X0)|~spl0_18)),
% 66.58/8.80 inference(component_clause,[status(thm)],[f3195])).
% 66.58/8.80 fof(f3198,plain,(
% 66.58/8.80 ![X0,X1]: (~c_Relation_Oirrefl(c_snd(X0,X0),X0)|~hBOOL(X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1517,f1911])).
% 66.58/8.80 fof(f3199,plain,(
% 66.58/8.80 spl0_17|spl0_18),
% 66.58/8.80 inference(split_clause,[status(thm)],[f3198,f3192,f3195])).
% 66.58/8.80 fof(f3200,plain,(
% 66.58/8.80 spl0_19 <=> ~c_Relation_Oirrefl(c_fst(X0,X0),X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3203,plain,(
% 66.58/8.80 ![X0,X1]: (~c_Relation_Oirrefl(c_fst(X0,X0),X0)|~hBOOL(X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1517,f1910])).
% 66.58/8.80 fof(f3204,plain,(
% 66.58/8.80 spl0_19|spl0_18),
% 66.58/8.80 inference(split_clause,[status(thm)],[f3203,f3200,f3195])).
% 66.58/8.80 fof(f3211,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~c_Relation_Oirrefl(c_Set_Oinsert(X0,X1,X2),X3)|~c_in(c_Pair(X4,X4,X3,X3),X1,X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1517,f2333])).
% 66.58/8.80 fof(f3214,plain,(
% 66.58/8.80 $false|~spl0_18),
% 66.58/8.80 inference(backward_subsumption_resolution,[status(thm)],[f2521,f3196])).
% 66.58/8.80 fof(f3215,plain,(
% 66.58/8.80 ~spl0_18),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f3214])).
% 66.58/8.80 fof(f3825,plain,(
% 66.58/8.80 spl0_20 <=> ~c_Wellfounded_Owf(c_fst(X0,X0),X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3828,plain,(
% 66.58/8.80 ![X0,X1]: (~c_Wellfounded_Owf(c_fst(X0,X0),X0)|~hBOOL(X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1548,f1910])).
% 66.58/8.80 fof(f3829,plain,(
% 66.58/8.80 spl0_20|spl0_18),
% 66.58/8.80 inference(split_clause,[status(thm)],[f3828,f3825,f3195])).
% 66.58/8.80 fof(f3830,plain,(
% 66.58/8.80 spl0_21 <=> ~c_Wellfounded_Owf(c_snd(X0,X0),X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3833,plain,(
% 66.58/8.80 ![X0,X1]: (~c_Wellfounded_Owf(c_snd(X0,X0),X0)|~hBOOL(X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1548,f1911])).
% 66.58/8.80 fof(f3834,plain,(
% 66.58/8.80 spl0_21|spl0_18),
% 66.58/8.80 inference(split_clause,[status(thm)],[f3833,f3830,f3195])).
% 66.58/8.80 fof(f3841,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~c_Wellfounded_Owf(c_Set_Oinsert(X0,X1,X2),X3)|~c_in(c_Pair(X4,X4,X3,X3),X1,X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1548,f2333])).
% 66.58/8.80 fof(f3860,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~c_Nitpick_Orefl_H(X0,X1)|hBOOL(hAPP(X0,c_Pair(X2,X2,X1,X1))))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1546,f1633])).
% 66.58/8.80 fof(f3893,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_Nitpick_Orefl_H(X0,X1)|c_in(c_Pair(X2,X2,X1,X1),X0,X3))),
% 66.58/8.80 inference(resolution,[status(thm)],[f3860,f1631])).
% 66.58/8.80 fof(f3894,plain,(
% 66.58/8.80 spl0_23 <=> ~c_Nitpick_Orefl_H(c_snd(X0,X0),X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3897,plain,(
% 66.58/8.80 spl0_24 <=> hBOOL(X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3898,plain,(
% 66.58/8.80 ![X0]: (hBOOL(X0)|~spl0_24)),
% 66.58/8.80 inference(component_clause,[status(thm)],[f3897])).
% 66.58/8.80 fof(f3900,plain,(
% 66.58/8.80 ![X0,X1]: (~c_Nitpick_Orefl_H(c_snd(X0,X0),X0)|hBOOL(X1))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f1091,f3860])).
% 66.58/8.80 fof(f3901,plain,(
% 66.58/8.80 spl0_23|spl0_24),
% 66.58/8.80 inference(split_clause,[status(thm)],[f3900,f3894,f3897])).
% 66.58/8.80 fof(f3902,plain,(
% 66.58/8.80 spl0_25 <=> ~c_Nitpick_Orefl_H(c_fst(X0,X0),X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f3905,plain,(
% 66.58/8.80 ![X0,X1]: (~c_Nitpick_Orefl_H(c_fst(X0,X0),X0)|hBOOL(X1))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f1089,f3860])).
% 66.58/8.80 fof(f3906,plain,(
% 66.58/8.80 spl0_25|spl0_24),
% 66.58/8.80 inference(split_clause,[status(thm)],[f3905,f3902,f3897])).
% 66.58/8.80 fof(f3914,plain,(
% 66.58/8.80 $false|~spl0_24),
% 66.58/8.80 inference(backward_subsumption_resolution,[status(thm)],[f857,f3898])).
% 66.58/8.80 fof(f3915,plain,(
% 66.58/8.80 ~spl0_24),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f3914])).
% 66.58/8.80 fof(f4982,plain,(
% 66.58/8.80 spl0_27 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X0,c_snd(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f4985,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_Relation_Oirrefl(c_Set_Oinsert(X0,c_snd(X1,X1),X2),X1)|~hBOOL(X3))),
% 66.58/8.80 inference(resolution,[status(thm)],[f3211,f1911])).
% 66.58/8.80 fof(f4986,plain,(
% 66.58/8.80 spl0_27|spl0_18),
% 66.58/8.80 inference(split_clause,[status(thm)],[f4985,f4982,f3195])).
% 66.58/8.80 fof(f4987,plain,(
% 66.58/8.80 spl0_28 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X0,c_fst(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f4990,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_Relation_Oirrefl(c_Set_Oinsert(X0,c_fst(X1,X1),X2),X1)|~hBOOL(X3))),
% 66.58/8.80 inference(resolution,[status(thm)],[f3211,f1910])).
% 66.58/8.80 fof(f4991,plain,(
% 66.58/8.80 spl0_28|spl0_18),
% 66.58/8.80 inference(split_clause,[status(thm)],[f4990,f4987,f3195])).
% 66.58/8.80 fof(f5100,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_Wellfounded_Owf(X3,X2)|hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X1,X3,X2))))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1429,f1633])).
% 66.58/8.80 fof(f5119,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X0)))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1061,f1633])).
% 66.58/8.80 fof(f5225,plain,(
% 66.58/8.80 spl0_29 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X0,c_snd(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f5228,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_Wellfounded_Owf(c_Set_Oinsert(X0,c_snd(X1,X1),X2),X1)|~hBOOL(X3))),
% 66.58/8.80 inference(resolution,[status(thm)],[f3841,f1911])).
% 66.58/8.80 fof(f5229,plain,(
% 66.58/8.80 spl0_29|spl0_18),
% 66.58/8.80 inference(split_clause,[status(thm)],[f5228,f5225,f3195])).
% 66.58/8.80 fof(f5230,plain,(
% 66.58/8.80 spl0_30 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X0,c_fst(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f5233,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_Wellfounded_Owf(c_Set_Oinsert(X0,c_fst(X1,X1),X2),X1)|~hBOOL(X3))),
% 66.58/8.80 inference(resolution,[status(thm)],[f3841,f1910])).
% 66.58/8.80 fof(f5234,plain,(
% 66.58/8.80 spl0_30|spl0_18),
% 66.58/8.80 inference(split_clause,[status(thm)],[f5233,f5230,f3195])).
% 66.58/8.80 fof(f6104,plain,(
% 66.58/8.80 spl0_31 <=> c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f6107,plain,(
% 66.58/8.80 spl0_32 <=> X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f6108,plain,(
% 66.58/8.80 ![X0,X1]: (X0=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X0=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~spl0_32)),
% 66.58/8.80 inference(component_clause,[status(thm)],[f6107])).
% 66.58/8.80 fof(f6110,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f861,f861])).
% 66.58/8.80 fof(f6111,plain,(
% 66.58/8.80 spl0_31|spl0_32),
% 66.58/8.80 inference(split_clause,[status(thm)],[f6110,f6104,f6107])).
% 66.58/8.80 fof(f6125,plain,(
% 66.58/8.80 spl0_33 <=> ~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f6128,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f861,f693])).
% 66.58/8.80 fof(f6129,plain,(
% 66.58/8.80 spl0_33|spl0_32),
% 66.58/8.80 inference(split_clause,[status(thm)],[f6128,f6125,f6107])).
% 66.58/8.80 fof(f6130,plain,(
% 66.58/8.80 ![X0,X1]: (X0=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~spl0_32)),
% 66.58/8.80 inference(duplicate_literals_removal,[status(esa)],[f6108])).
% 66.58/8.80 fof(f6132,plain,(
% 66.58/8.80 $false|~spl0_32),
% 66.58/8.80 inference(backward_subsumption_resolution,[status(thm)],[f681,f6130])).
% 66.58/8.80 fof(f6133,plain,(
% 66.58/8.80 ~spl0_32),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f6132])).
% 66.58/8.80 fof(f10027,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)|~c_Wellfounded_Owf(X3,X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f5100,f857])).
% 66.58/8.80 fof(f10028,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~c_in(X0,X1,X2)|~c_Wellfounded_Owf(X3,X2)|c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X1,X3,X2),X1,X4))),
% 66.58/8.80 inference(resolution,[status(thm)],[f5100,f1631])).
% 66.58/8.80 fof(f10031,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,c_COMBK(X1,X2,X3),X4)|~c_Wellfounded_Owf(X5,X4)|hBOOL(X1))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f744,f5100])).
% 66.58/8.80 fof(f10033,plain,(
% 66.58/8.80 spl0_34 <=> ~c_Nitpick_Orefl_H(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f10036,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_Wellfounded_Owf(X0,X1)|~c_Nitpick_Orefl_H(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10027,f3893])).
% 66.58/8.80 fof(f10037,plain,(
% 66.58/8.80 spl0_4|spl0_34),
% 66.58/8.80 inference(split_clause,[status(thm)],[f10036,f1820,f10033])).
% 66.58/8.80 fof(f10039,plain,(
% 66.58/8.80 spl0_35 <=> hBOOL(X2)|~c_Nitpick_Orefl_H(c_COMBK(X2,X3,X4),X5)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f10042,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4,X5]: (~c_Wellfounded_Owf(X0,X1)|hBOOL(X2)|~c_Nitpick_Orefl_H(c_COMBK(X2,X3,X4),X5))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10031,f3893])).
% 66.58/8.80 fof(f10043,plain,(
% 66.58/8.80 spl0_4|spl0_35),
% 66.58/8.80 inference(split_clause,[status(thm)],[f10042,f1820,f10039])).
% 66.58/8.80 fof(f10044,plain,(
% 66.58/8.80 spl0_36 <=> hBOOL(X2)|~hBOOL(X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f10047,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~c_Wellfounded_Owf(X0,X1)|hBOOL(X2)|~hBOOL(X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10031,f1799])).
% 66.58/8.80 fof(f10048,plain,(
% 66.58/8.80 spl0_4|spl0_36),
% 66.58/8.80 inference(split_clause,[status(thm)],[f10047,f1820,f10044])).
% 66.58/8.80 fof(f10049,plain,(
% 66.58/8.80 spl0_37 <=> ~c_in(X0,c_COMBK(X1,X2,X3),X4)|~c_Wellfounded_Owf(X5,X4)|hBOOL(X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f10052,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~c_in(X0,c_COMBK(X1,X2,X3),X4)|~c_Wellfounded_Owf(X5,X4)|~c_Wellfounded_Owf(X6,X7)|hBOOL(X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10028,f10031])).
% 66.58/8.80 fof(f10053,plain,(
% 66.58/8.80 spl0_37|spl0_4),
% 66.58/8.80 inference(split_clause,[status(thm)],[f10052,f10049,f1820])).
% 66.58/8.80 fof(f10061,plain,(
% 66.58/8.80 spl0_38 <=> ~c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)|~c_Wellfounded_Owf(X3,X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f10064,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)|~c_Wellfounded_Owf(X3,X2)|~c_Wellfounded_Owf(X4,X5))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10028,f10027])).
% 66.58/8.80 fof(f10065,plain,(
% 66.58/8.80 spl0_38|spl0_4),
% 66.58/8.80 inference(split_clause,[status(thm)],[f10064,f10061,f1820])).
% 66.58/8.80 fof(f10117,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~c_in(X0,X1,X2)|c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X4))),
% 66.58/8.80 inference(resolution,[status(thm)],[f5119,f1631])).
% 66.58/8.80 fof(f10152,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,X1,X3))),
% 66.58/8.80 inference(paramodulation,[status(thm)],[f851,f10117])).
% 66.58/8.80 fof(f10416,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),X3)|~c_in(X0,X1,tc_prod(X2,X2)))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10152,f1336])).
% 66.58/8.80 fof(f10424,plain,(
% 66.58/8.80 ![X0,X1,X2,X3]: (c_in(X0,c_Transitive__Closure_Otrancl(X1,X2),X3)|~c_in(X0,X1,tc_prod(X2,X2)))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10152,f1337])).
% 66.58/8.80 fof(f10441,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4,X5]: (c_in(c_Pair(X0,X1,X2,X3),c_Transitive__Closure_Ortrancl(c_snd(X2,X3),X4),X5)|~hBOOL(X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10416,f1911])).
% 66.58/8.80 fof(f10442,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4,X5]: (c_in(c_Pair(X0,X1,X2,X3),c_Transitive__Closure_Ortrancl(c_fst(X2,X3),X4),X5)|~hBOOL(X0))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10416,f1910])).
% 66.58/8.80 fof(f10712,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4,X5]: (c_in(c_Pair(X0,X1,X2,X3),c_Transitive__Closure_Otrancl(c_snd(X2,X3),X4),X5)|~hBOOL(X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10424,f1911])).
% 66.58/8.80 fof(f10713,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4,X5]: (c_in(c_Pair(X0,X1,X2,X3),c_Transitive__Closure_Otrancl(c_fst(X2,X3),X4),X5)|~hBOOL(X0))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10424,f1910])).
% 66.58/8.80 fof(f19047,plain,(
% 66.58/8.80 spl0_42 <=> ~c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_snd(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19050,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_snd(X1,X1),X2),X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10441,f1548])).
% 66.58/8.80 fof(f19051,plain,(
% 66.58/8.80 spl0_18|spl0_42),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19050,f3195,f19047])).
% 66.58/8.80 fof(f19052,plain,(
% 66.58/8.80 spl0_43 <=> ~c_Relation_Oirrefl(c_Transitive__Closure_Ortrancl(c_snd(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19055,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Transitive__Closure_Ortrancl(c_snd(X1,X1),X2),X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10441,f1517])).
% 66.58/8.80 fof(f19056,plain,(
% 66.58/8.80 spl0_18|spl0_43),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19055,f3195,f19052])).
% 66.58/8.80 fof(f19057,plain,(
% 66.58/8.80 spl0_44 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_snd(X2,X2),X3),X4),X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19060,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_snd(X2,X2),X3),X4),X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10441,f3841])).
% 66.58/8.80 fof(f19061,plain,(
% 66.58/8.80 spl0_18|spl0_44),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19060,f3195,f19057])).
% 66.58/8.80 fof(f19062,plain,(
% 66.58/8.80 spl0_45 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_snd(X2,X2),X3),X4),X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19065,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_snd(X2,X2),X3),X4),X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10441,f3211])).
% 66.58/8.80 fof(f19066,plain,(
% 66.58/8.80 spl0_18|spl0_45),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19065,f3195,f19062])).
% 66.58/8.80 fof(f19074,plain,(
% 66.58/8.80 spl0_46 <=> ~c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_fst(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19077,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_fst(X1,X1),X2),X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10442,f1548])).
% 66.58/8.80 fof(f19078,plain,(
% 66.58/8.80 spl0_18|spl0_46),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19077,f3195,f19074])).
% 66.58/8.80 fof(f19079,plain,(
% 66.58/8.80 spl0_47 <=> ~c_Relation_Oirrefl(c_Transitive__Closure_Ortrancl(c_fst(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19082,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Transitive__Closure_Ortrancl(c_fst(X1,X1),X2),X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10442,f1517])).
% 66.58/8.80 fof(f19083,plain,(
% 66.58/8.80 spl0_18|spl0_47),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19082,f3195,f19079])).
% 66.58/8.80 fof(f19084,plain,(
% 66.58/8.80 spl0_48 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_fst(X2,X2),X3),X4),X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19087,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_fst(X2,X2),X3),X4),X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10442,f3841])).
% 66.58/8.80 fof(f19088,plain,(
% 66.58/8.80 spl0_18|spl0_48),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19087,f3195,f19084])).
% 66.58/8.80 fof(f19089,plain,(
% 66.58/8.80 spl0_49 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_fst(X2,X2),X3),X4),X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19092,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_fst(X2,X2),X3),X4),X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10442,f3211])).
% 66.58/8.80 fof(f19093,plain,(
% 66.58/8.80 spl0_18|spl0_49),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19092,f3195,f19089])).
% 66.58/8.80 fof(f19177,plain,(
% 66.58/8.80 spl0_50 <=> ~c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(c_snd(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19180,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(c_snd(X1,X1),X2),X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10712,f1548])).
% 66.58/8.80 fof(f19181,plain,(
% 66.58/8.80 spl0_18|spl0_50),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19180,f3195,f19177])).
% 66.58/8.80 fof(f19182,plain,(
% 66.58/8.80 spl0_51 <=> ~c_Relation_Oirrefl(c_Transitive__Closure_Otrancl(c_snd(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19185,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Transitive__Closure_Otrancl(c_snd(X1,X1),X2),X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10712,f1517])).
% 66.58/8.80 fof(f19186,plain,(
% 66.58/8.80 spl0_18|spl0_51),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19185,f3195,f19182])).
% 66.58/8.80 fof(f19187,plain,(
% 66.58/8.80 spl0_52 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_snd(X2,X2),X3),X4),X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19190,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_snd(X2,X2),X3),X4),X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10712,f3841])).
% 66.58/8.80 fof(f19191,plain,(
% 66.58/8.80 spl0_18|spl0_52),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19190,f3195,f19187])).
% 66.58/8.80 fof(f19192,plain,(
% 66.58/8.80 spl0_53 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_snd(X2,X2),X3),X4),X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19195,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_snd(X2,X2),X3),X4),X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10712,f3211])).
% 66.58/8.80 fof(f19196,plain,(
% 66.58/8.80 spl0_18|spl0_53),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19195,f3195,f19192])).
% 66.58/8.80 fof(f19204,plain,(
% 66.58/8.80 spl0_54 <=> ~c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(c_fst(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19207,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(c_fst(X1,X1),X2),X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10713,f1548])).
% 66.58/8.80 fof(f19208,plain,(
% 66.58/8.80 spl0_18|spl0_54),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19207,f3195,f19204])).
% 66.58/8.80 fof(f19209,plain,(
% 66.58/8.80 spl0_55 <=> ~c_Relation_Oirrefl(c_Transitive__Closure_Otrancl(c_fst(X1,X1),X2),X1)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19212,plain,(
% 66.58/8.80 ![X0,X1,X2]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Transitive__Closure_Otrancl(c_fst(X1,X1),X2),X1))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10713,f1517])).
% 66.58/8.80 fof(f19213,plain,(
% 66.58/8.80 spl0_18|spl0_55),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19212,f3195,f19209])).
% 66.58/8.80 fof(f19214,plain,(
% 66.58/8.80 spl0_56 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_fst(X2,X2),X3),X4),X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19217,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_fst(X2,X2),X3),X4),X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10713,f3841])).
% 66.58/8.80 fof(f19218,plain,(
% 66.58/8.80 spl0_18|spl0_56),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19217,f3195,f19214])).
% 66.58/8.80 fof(f19219,plain,(
% 66.58/8.80 spl0_57 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_fst(X2,X2),X3),X4),X2)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f19222,plain,(
% 66.58/8.80 ![X0,X1,X2,X3,X4]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_fst(X2,X2),X3),X4),X2))),
% 66.58/8.80 inference(resolution,[status(thm)],[f10713,f3211])).
% 66.58/8.80 fof(f19223,plain,(
% 66.58/8.80 spl0_18|spl0_57),
% 66.58/8.80 inference(split_clause,[status(thm)],[f19222,f3195,f19219])).
% 66.58/8.80 fof(f28121,plain,(
% 66.58/8.80 spl0_59 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28122,plain,(
% 66.58/8.80 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_59),
% 66.58/8.80 inference(component_clause,[status(thm)],[f28121])).
% 66.58/8.80 fof(f28124,plain,(
% 66.58/8.80 spl0_60 <=> c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28126,plain,(
% 66.58/8.80 ~c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|spl0_60),
% 66.58/8.80 inference(component_clause,[status(thm)],[f28124])).
% 66.58/8.80 fof(f28129,plain,(
% 66.58/8.80 spl0_61 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P_H____(v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28132,plain,(
% 66.58/8.80 spl0_62 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28134,plain,(
% 66.58/8.80 ~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|spl0_62),
% 66.58/8.80 inference(component_clause,[status(thm)],[f28132])).
% 66.58/8.80 fof(f28135,plain,(
% 66.58/8.80 spl0_63 <=> c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28137,plain,(
% 66.58/8.80 ~c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|spl0_63),
% 66.58/8.80 inference(component_clause,[status(thm)],[f28135])).
% 66.58/8.80 fof(f28138,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P_H____(v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1643,f1252])).
% 66.58/8.80 fof(f28139,plain,(
% 66.58/8.80 spl0_61|~spl0_62|~spl0_63),
% 66.58/8.80 inference(split_clause,[status(thm)],[f28138,f28129,f28132,f28135])).
% 66.58/8.80 fof(f28140,plain,(
% 66.58/8.80 spl0_64 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28141,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_64)),
% 66.58/8.80 inference(component_clause,[status(thm)],[f28140])).
% 66.58/8.80 fof(f28143,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1643,f1646])).
% 66.58/8.80 fof(f28144,plain,(
% 66.58/8.80 spl0_64|~spl0_62|~spl0_63),
% 66.58/8.80 inference(split_clause,[status(thm)],[f28143,f28140,f28132,f28135])).
% 66.58/8.80 fof(f28162,plain,(
% 66.58/8.80 $false|spl0_60),
% 66.58/8.80 inference(forward_subsumption_resolution,[status(thm)],[f28126,f1802])).
% 66.58/8.80 fof(f28163,plain,(
% 66.58/8.80 spl0_60),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f28162])).
% 66.58/8.80 fof(f28164,plain,(
% 66.58/8.80 $false|spl0_63),
% 66.58/8.80 inference(forward_subsumption_resolution,[status(thm)],[f28137,f1635])).
% 66.58/8.80 fof(f28165,plain,(
% 66.58/8.80 spl0_63),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f28164])).
% 66.58/8.80 fof(f28166,plain,(
% 66.58/8.80 $false|spl0_62),
% 66.58/8.80 inference(forward_subsumption_resolution,[status(thm)],[f28134,f1644])).
% 66.58/8.80 fof(f28167,plain,(
% 66.58/8.80 spl0_62),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f28166])).
% 66.58/8.80 fof(f28174,plain,(
% 66.58/8.80 spl0_66 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,X0,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P_H____(v_sko__CHAINED__1(v_a____,v_b____,X0,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28177,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,X0,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P_H____(v_sko__CHAINED__1(v_a____,v_b____,X0,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1641,f1252])).
% 66.58/8.80 fof(f28178,plain,(
% 66.58/8.80 spl0_66|~spl0_62|~spl0_63),
% 66.58/8.80 inference(split_clause,[status(thm)],[f28177,f28174,f28132,f28135])).
% 66.58/8.80 fof(f28179,plain,(
% 66.58/8.80 spl0_67 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,X0,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,X0,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28182,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,X0,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,X0,v_P____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 66.58/8.80 inference(resolution,[status(thm)],[f1641,f1646])).
% 66.58/8.80 fof(f28183,plain,(
% 66.58/8.80 spl0_67|~spl0_62|~spl0_63),
% 66.58/8.80 inference(split_clause,[status(thm)],[f28182,f28179,f28132,f28135])).
% 66.58/8.80 fof(f28205,plain,(
% 66.58/8.80 spl0_68 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28207,plain,(
% 66.58/8.80 ~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|spl0_68),
% 66.58/8.80 inference(component_clause,[status(thm)],[f28205])).
% 66.58/8.80 fof(f28208,plain,(
% 66.58/8.80 spl0_69 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28209,plain,(
% 66.58/8.80 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_69),
% 66.58/8.80 inference(component_clause,[status(thm)],[f28208])).
% 66.58/8.80 fof(f28217,plain,(
% 66.58/8.80 ![X0,X1]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,X0)),X1)|~spl0_64)),
% 66.58/8.80 inference(resolution,[status(thm)],[f28141,f10152])).
% 66.58/8.80 fof(f28219,plain,(
% 66.58/8.80 spl0_70 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),X0)),
% 66.58/8.80 introduced(split_symbol_definition)).
% 66.58/8.80 fof(f28220,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),X0)|~spl0_70)),
% 66.58/8.80 inference(component_clause,[status(thm)],[f28219])).
% 66.58/8.80 fof(f28222,plain,(
% 66.58/8.80 ![X0]: (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),X0)|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_64)),
% 66.58/8.80 inference(resolution,[status(thm)],[f28217,f1645])).
% 66.58/8.80 fof(f28223,plain,(
% 66.58/8.80 spl0_59|~spl0_60|spl0_70|spl0_69|~spl0_64),
% 66.58/8.80 inference(split_clause,[status(thm)],[f28222,f28121,f28124,f28219,f28208,f28140])).
% 66.58/8.80 fof(f28256,plain,(
% 66.58/8.80 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_70),
% 66.58/8.80 inference(resolution,[status(thm)],[f28220,f1645])).
% 66.58/8.80 fof(f28297,plain,(
% 66.58/8.80 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~spl0_70),
% 66.58/8.80 inference(resolution,[status(thm)],[f28256,f1639])).
% 66.58/8.80 fof(f28298,plain,(
% 66.58/8.80 spl0_59|~spl0_62|~spl0_68|~spl0_60|~spl0_63|~spl0_70),
% 66.58/8.80 inference(split_clause,[status(thm)],[f28297,f28121,f28132,f28205,f28124,f28135,f28219])).
% 66.58/8.80 fof(f28306,plain,(
% 66.58/8.80 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_69),
% 66.58/8.80 inference(resolution,[status(thm)],[f28209,f1646])).
% 66.58/8.80 fof(f28307,plain,(
% 66.58/8.80 $false|spl0_68|~spl0_69),
% 66.58/8.80 inference(forward_subsumption_resolution,[status(thm)],[f28306,f28207])).
% 66.58/8.80 fof(f28308,plain,(
% 66.58/8.80 spl0_68|~spl0_69),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f28307])).
% 66.58/8.80 fof(f28309,plain,(
% 66.58/8.80 $false|~spl0_59),
% 66.58/8.80 inference(forward_subsumption_resolution,[status(thm)],[f28122,f1647])).
% 66.58/8.80 fof(f28310,plain,(
% 66.58/8.80 ~spl0_59),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f28309])).
% 66.58/8.80 fof(f28311,plain,(
% 66.58/8.80 $false|~spl0_70|spl0_68),
% 66.58/8.80 inference(forward_subsumption_resolution,[status(thm)],[f28207,f28220])).
% 66.58/8.80 fof(f28312,plain,(
% 66.58/8.80 ~spl0_70|spl0_68),
% 66.58/8.80 inference(contradiction_clause,[status(thm)],[f28311])).
% 66.58/8.80 fof(f28313,plain,(
% 66.58/8.80 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_Q____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_Q____,v_sko__CHAINED__1(v_a____,v_b____,v_P____,v_Q____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(v_Q____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))|~spl0_69),
% 66.58/8.80 inference(resolution,[status(thm)],[f28209,f1639])).
% 66.58/8.80 fof(f28314,plain,(
% 66.58/8.80 spl0_59|~spl0_62|~spl0_68|~spl0_60|~spl0_63|~spl0_69),
% 66.58/8.80 inference(split_clause,[status(thm)],[f28313,f28121,f28132,f28205,f28124,f28135,f28208])).
% 66.58/8.80 fof(f28321,plain,(
% 66.58/8.80 $false),
% 66.58/8.80 inference(sat_refutation,[status(thm)],[f1731,f1734,f1824,f1954,f1957,f3131,f3139,f3141,f3143,f3199,f3204,f3215,f3829,f3834,f3901,f3906,f3915,f4986,f4991,f5229,f5234,f6111,f6129,f6133,f10037,f10043,f10048,f10053,f10065,f19051,f19056,f19061,f19066,f19078,f19083,f19088,f19093,f19181,f19186,f19191,f19196,f19208,f19213,f19218,f19223,f28139,f28144,f28163,f28165,f28167,f28178,f28183,f28223,f28298,f28308,f28310,f28312,f28314])).
% 67.99/8.98 % SZS output end CNFRefutation for theBenchmark.p
% 69.04/9.34 % Elapsed time: 8.999557 seconds
% 69.04/9.34 % CPU time: 68.465451 seconds
% 69.04/9.34 % Total memory used: 1.137 GB
% 69.04/9.34 % Net memory used: 1.124 GB
%------------------------------------------------------------------------------