TSTP Solution File: SCT041-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SCT041-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:38:13 EDT 2024
% Result : Unsatisfiable 108.32s 14.03s
% Output : CNFRefutation 110.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SCT041-1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 19:59:20 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 108.32/14.03 % Refutation found
% 108.32/14.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 108.32/14.03 % SZS output start CNFRefutation for theBenchmark
% 108.32/14.03 fof(f2,axiom,(
% 108.32/14.03 (![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)) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f12,axiom,(
% 108.32/14.03 (![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)) ) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f16,axiom,(
% 108.32/14.03 (![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) ) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f26,axiom,(
% 108.32/14.03 (![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) ) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f48,axiom,(
% 108.32/14.03 (![V_P,T_a,T_b,V_Q]: (hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f54,axiom,(
% 108.32/14.03 (![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)) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f119,axiom,(
% 108.32/14.03 (![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 ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f124,axiom,(
% 108.32/14.03 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f127,axiom,(
% 108.32/14.03 (![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)) ) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f193,axiom,(
% 108.32/14.03 (![T_a]: (c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f252,axiom,(
% 108.32/14.03 (![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) ) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f259,axiom,(
% 108.32/14.03 (![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) ) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f278,axiom,(
% 108.32/14.03 (![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 ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f280,axiom,(
% 108.32/14.03 (![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 ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f390,axiom,(
% 108.32/14.03 (![V_r,T_a]: (( c_Nitpick_Orefl_H(V_r,T_a)| ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f417,axiom,(
% 108.32/14.03 (![V_a1,V_a2,V_r]: (( c_in(c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a))| c_in(c_Pair(V_a1,V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a))| ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f431,axiom,(
% 108.32/14.03 (![V_a1,V_a2,V_r]: (( c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a))| V_a2 = V_a1| ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ))),
% 108.32/14.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.03 fof(f445,axiom,(
% 108.32/14.03 (![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)) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f446,axiom,(
% 108.32/14.05 (![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)) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f467,axiom,(
% 108.32/14.05 (![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) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f519,axiom,(
% 108.32/14.05 (![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) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f580,axiom,(
% 108.32/14.05 (![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) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f587,axiom,(
% 108.32/14.05 (![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)) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f596,axiom,(
% 108.32/14.05 (![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) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f597,axiom,(
% 108.32/14.05 (![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) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f605,axiom,(
% 108.32/14.05 (![V_x,T_a]: (c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f643,axiom,(
% 108.32/14.05 (![V_x,V_S,T_a]: (( c_in(V_x,V_S,T_a)| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f644,axiom,(
% 108.32/14.05 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ c_in(V_x,V_S,T_a) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f645,axiom,(
% 108.32/14.05 (![V_a_H,V_b_H,V_P_H,V_a,V_b,V_P]: (( c_in(c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,V_P_H),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_F,V_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_P_H,v_sko__CHAINED__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)),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_sko__CHAINED__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(V_P_H,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)))| V_b = V_a_H| V_a = V_b_H| V_a_H = V_b_H| V_a = V_b ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f646,axiom,(
% 108.32/14.05 (![V_a_H,V_b_H,V_P_H,V_a,V_b,V_P]: (( c_in(c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,V_P_H),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_F,V_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| c_in(c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_P_H,v_sko__CHAINED__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)),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_sko__CHAINED__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(V_P_H,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)))| V_b = V_a_H| V_a = V_b_H| V_a_H = V_b_H| V_a = V_b ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f647,axiom,(
% 108.32/14.05 (![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_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f648,axiom,(
% 108.32/14.05 (![V_i]: (( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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)) ) ))),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f649,axiom,(
% 108.32/14.05 c_in(v_P_H____,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))) ),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f650,axiom,(
% 108.32/14.05 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))) ),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f651,axiom,(
% 108.32/14.05 v_b____ != v_a_H____ ),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f652,axiom,(
% 108.32/14.05 v_a____ != v_b_H____ ),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f653,axiom,(
% 108.32/14.05 v_a_H____ != v_b_H____ ),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f654,axiom,(
% 108.32/14.05 v_a____ != v_b____ ),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f655,negated_conjecture,(
% 108.32/14.05 ( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),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_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f656,negated_conjecture,(
% 108.32/14.05 ( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
% 108.32/14.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 108.32/14.05 fof(f678,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f2])).
% 108.32/14.05 fof(f689,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f12])).
% 108.32/14.05 fof(f690,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f689])).
% 108.32/14.05 fof(f696,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f16])).
% 108.32/14.05 fof(f697,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f696])).
% 108.32/14.05 fof(f712,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f26])).
% 108.32/14.05 fof(f713,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f712])).
% 108.32/14.05 fof(f741,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (hAPP(c_COMBK(X0,X1,X2),X3)=X0)),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f48])).
% 108.32/14.05 fof(f750,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f54])).
% 108.32/14.05 fof(f849,plain,(
% 108.32/14.05 ![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)),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f119])).
% 108.32/14.05 fof(f855,plain,(
% 108.32/14.05 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f124])).
% 108.32/14.05 fof(f858,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f127])).
% 108.32/14.05 fof(f859,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f858])).
% 108.32/14.05 fof(f951,plain,(
% 108.32/14.05 ![X0]: (c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X0,X0),tc_bool)),X0))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f193])).
% 108.32/14.05 fof(f1042,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f252])).
% 108.32/14.05 fof(f1043,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (c_in(X0,c_Set_Oinsert(X1,X2,X3),X3)|~c_in(X0,X2,X3))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1042])).
% 108.32/14.05 fof(f1056,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f259])).
% 108.32/14.05 fof(f1057,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1056])).
% 108.32/14.05 fof(f1085,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (hAPP(c_fst(X0,X1),c_Pair(X2,X3,X0,X1))=X2)),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f278])).
% 108.32/14.05 fof(f1087,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (hAPP(c_snd(X0,X1),c_Pair(X2,X3,X0,X1))=X3)),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f280])).
% 108.32/14.05 fof(f1255,plain,(
% 108.32/14.05 ![X0,X1]: (c_Nitpick_Orefl_H(X0,X1)|~c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X0,X1),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X0,X1),X1,X1),X0,tc_prod(X1,X1)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f390])).
% 108.32/14.05 fof(f1286,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(X0,X1,X2),X1,t_a,t_a),X2,tc_prod(t_a,t_a))|c_in(c_Pair(X0,X1,t_a,t_a),X2,tc_prod(t_a,t_a))|~c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Otrancl(X2,t_a),tc_prod(t_a,t_a)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f417])).
% 108.32/14.05 fof(f1309,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(X0,X1,X2),X1,t_a,t_a),X2,tc_prod(t_a,t_a))|X1=X0|~c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(X2,t_a),tc_prod(t_a,t_a)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f431])).
% 108.32/14.05 fof(f1330,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))|~c_in(X0,X1,tc_prod(X2,X2)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f445])).
% 108.32/14.05 fof(f1331,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(X0,c_Transitive__Closure_Otrancl(X1,X2),tc_prod(X2,X2))|~c_in(X0,X1,tc_prod(X2,X2)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f446])).
% 108.32/14.05 fof(f1363,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f467])).
% 108.32/14.05 fof(f1364,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(X0,c_Wellfounded_Oacc(X1,X2),X2)|~c_Wellfounded_Owf(X1,X2))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1363])).
% 108.32/14.05 fof(f1423,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f519])).
% 108.32/14.05 fof(f1424,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1423])).
% 108.32/14.05 fof(f1511,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f580])).
% 108.32/14.05 fof(f1512,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))|~c_Relation_Oirrefl(X2,X1))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1511])).
% 108.32/14.05 fof(f1524,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f587])).
% 108.32/14.05 fof(f1540,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f596])).
% 108.32/14.05 fof(f1541,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))|~c_Nitpick_Orefl_H(X2,X1))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1540])).
% 108.32/14.05 fof(f1542,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f597])).
% 108.32/14.05 fof(f1543,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))|~c_Wellfounded_Owf(X2,X1))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1542])).
% 108.32/14.05 fof(f1558,plain,(
% 108.32/14.05 ![X0,X1]: (c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId(X1),tc_prod(X1,X1)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f605])).
% 108.32/14.05 fof(f1624,plain,(
% 108.32/14.05 ![V_x,V_S]: ((![T_a]: c_in(V_x,V_S,T_a))|~hBOOL(hAPP(V_S,V_x)))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f643])).
% 108.32/14.05 fof(f1625,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(X0,X1,X2)|~hBOOL(hAPP(X1,X0)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1624])).
% 108.32/14.05 fof(f1626,plain,(
% 108.32/14.05 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~c_in(V_x,V_S,T_a)))),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f644])).
% 108.32/14.05 fof(f1627,plain,(
% 108.32/14.05 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~c_in(X1,X0,X2))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1626])).
% 108.32/14.05 fof(f1628,plain,(
% 108.32/14.05 ![V_a,V_b]: ((![V_a_H,V_b_H]: ((((![V_P]: ((![V_P_H]: ((((c_in(c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,V_P_H),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_F,V_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_in(c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_P_H,v_sko__CHAINED__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)),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_sko__CHAINED__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_in(V_P_H,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)))))|V_b=V_a_H)|V_a=V_b_H)|V_a_H=V_b_H))|V_a=V_b)),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f645])).
% 108.32/14.05 fof(f1629,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4,X5]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),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(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__CHAINED__1(X5,X2,X3,X0,X4,X1)),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(X5,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)))|X4=X0|X3=X1|X0=X1|X3=X4)),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1628])).
% 108.32/14.05 fof(f1630,plain,(
% 108.32/14.05 ![V_a,V_b]: ((![V_a_H,V_b_H]: ((((![V_P]: ((![V_P_H]: ((((c_in(c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,V_P_H),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_F,V_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_in(c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_P_H,v_sko__CHAINED__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)),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_sko__CHAINED__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_in(V_P_H,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)))))|V_b=V_a_H)|V_a=V_b_H)|V_a_H=V_b_H))|V_a=V_b)),
% 108.32/14.05 inference(miniscoping,[status(esa)],[f646])).
% 108.32/14.05 fof(f1631,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4,X5]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),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(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__CHAINED__1(X5,X2,X3,X0,X4,X1)),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(X5,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)))|X4=X0|X3=X1|X0=X1|X3=X4)),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f1630])).
% 108.32/14.05 fof(f1632,plain,(
% 108.32/14.05 ![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_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f647])).
% 108.32/14.05 fof(f1633,plain,(
% 108.32/14.05 ![X0]: (c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f648])).
% 108.32/14.05 fof(f1634,plain,(
% 108.32/14.05 c_in(v_P_H____,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)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f649])).
% 108.32/14.05 fof(f1635,plain,(
% 108.32/14.05 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)))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f650])).
% 108.32/14.05 fof(f1636,plain,(
% 108.32/14.05 ~v_b____=v_a_H____),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f651])).
% 108.32/14.05 fof(f1637,plain,(
% 108.32/14.05 ~v_a____=v_b_H____),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f652])).
% 108.32/14.05 fof(f1638,plain,(
% 108.32/14.05 ~v_a_H____=v_b_H____),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f653])).
% 108.32/14.05 fof(f1639,plain,(
% 108.32/14.05 ~v_a____=v_b____),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f654])).
% 108.32/14.05 fof(f1640,plain,(
% 108.32/14.05 ~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),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_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f655])).
% 108.32/14.05 fof(f1641,plain,(
% 108.32/14.05 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 inference(cnf_transformation,[status(esa)],[f656])).
% 108.32/14.05 fof(f1672,plain,(
% 108.32/14.05 spl0_0 <=> c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f1675,plain,(
% 108.32/14.05 spl0_1 <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f1678,plain,(
% 108.32/14.05 ~spl0_0|~spl0_1),
% 108.32/14.05 inference(split_clause,[status(thm)],[f1640,f1672,f1675])).
% 108.32/14.05 fof(f1679,plain,(
% 108.32/14.05 spl0_1|spl0_0),
% 108.32/14.05 inference(split_clause,[status(thm)],[f1641,f1675,f1672])).
% 108.32/14.05 fof(f1753,plain,(
% 108.32/14.05 spl0_3 <=> X1=X1),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f1779,plain,(
% 108.32/14.05 spl0_5 <=> hBOOL(hAPP(c_COMBK(X0,X1,X2),X3))|~hBOOL(X0)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f1782,plain,(
% 108.32/14.05 spl0_6 <=> ~c_Wellfounded_Owf(X4,X5)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f1783,plain,(
% 108.32/14.05 ![X0,X1]: (~c_Wellfounded_Owf(X0,X1)|~spl0_6)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f1782])).
% 108.32/14.05 fof(f1785,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4,X5]: (hBOOL(hAPP(c_COMBK(X0,X1,X2),X3))|~hBOOL(X0)|~c_Wellfounded_Owf(X4,X5))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f741,f697])).
% 108.32/14.05 fof(f1786,plain,(
% 108.32/14.05 spl0_5|spl0_6),
% 108.32/14.05 inference(split_clause,[status(thm)],[f1785,f1779,f1782])).
% 108.32/14.05 fof(f1806,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4]: (c_in(X0,c_COMBK(X1,X2,X3),X4)|~hBOOL(X1))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f741,f1625])).
% 108.32/14.05 fof(f1808,plain,(
% 108.32/14.05 hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P____))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1627,f1635])).
% 108.32/14.05 fof(f1809,plain,(
% 108.32/14.05 hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_P_H____))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1627,f1634])).
% 108.32/14.05 fof(f1811,plain,(
% 108.32/14.05 ![X0]: (c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,X0))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1808,f1625])).
% 108.32/14.05 fof(f1813,plain,(
% 108.32/14.05 ![X0]: (c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,X0))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1809,f1625])).
% 108.32/14.05 fof(f1873,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~c_Wellfounded_Owf(X0,X1)|hBOOL(hAPP(c_Wellfounded_Oacc(X0,X1),X2)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1364,f1627])).
% 108.32/14.05 fof(f1953,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4]: (c_in(c_Pair(X0,X1,X2,X3),c_fst(X2,X3),X4)|~hBOOL(X0))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f1085,f1625])).
% 108.32/14.05 fof(f1954,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4]: (c_in(c_Pair(X0,X1,X2,X3),c_snd(X2,X3),X4)|~hBOOL(X1))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f1087,f1625])).
% 108.32/14.05 fof(f1962,plain,(
% 108.32/14.05 spl0_11 <=> ~c_Wellfounded_Owf(X0,X1)|hBOOL(hAPP(c_Wellfounded_Oacc(X0,X1),X2))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f1965,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4]: (~c_Wellfounded_Owf(X0,X1)|hBOOL(hAPP(c_Wellfounded_Oacc(X0,X1),X2))|~c_Wellfounded_Owf(X3,X4))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1873,f697])).
% 108.32/14.05 fof(f1966,plain,(
% 108.32/14.05 spl0_11|spl0_6),
% 108.32/14.05 inference(split_clause,[status(thm)],[f1965,f1962,f1782])).
% 108.32/14.05 fof(f1968,plain,(
% 108.32/14.05 $false|~spl0_6),
% 108.32/14.05 inference(backward_subsumption_resolution,[status(thm)],[f951,f1783])).
% 108.32/14.05 fof(f1969,plain,(
% 108.32/14.05 ~spl0_6),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f1968])).
% 108.32/14.05 fof(f2139,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|hBOOL(hAPP(c_Set_Oinsert(X3,X1,X2),X0)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1043,f1627])).
% 108.32/14.05 fof(f2347,plain,(
% 108.32/14.05 ![X0,X1]: (hBOOL(hAPP(c_Relation_OId(X0),c_Pair(X1,X1,X0,X0))))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1558,f1627])).
% 108.32/14.05 fof(f2373,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId(X1),X2))),
% 108.32/14.05 inference(resolution,[status(thm)],[f2347,f1625])).
% 108.32/14.05 fof(f2375,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4]: (~c_in(X0,X1,X2)|c_in(X0,c_Set_Oinsert(X3,X1,X2),X4))),
% 108.32/14.05 inference(resolution,[status(thm)],[f2139,f1625])).
% 108.32/14.05 fof(f2588,plain,(
% 108.32/14.05 ![X0,X1,X2]: (hBOOL(hAPP(c_Transitive__Closure_Ortrancl(X0,X1),c_Pair(X2,X2,X1,X1))))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1524,f1627])).
% 108.32/14.05 fof(f2593,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),X3))),
% 108.32/14.05 inference(resolution,[status(thm)],[f2588,f1625])).
% 108.32/14.05 fof(f2949,plain,(
% 108.32/14.05 spl0_15 <=> 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)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f2950,plain,(
% 108.32/14.05 ![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_15)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f2949])).
% 108.32/14.05 fof(f2952,plain,(
% 108.32/14.05 spl0_16 <=> ~c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f2955,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f750,f713])).
% 108.32/14.05 fof(f2956,plain,(
% 108.32/14.05 spl0_15|spl0_16),
% 108.32/14.05 inference(split_clause,[status(thm)],[f2955,f2949,f2952])).
% 108.32/14.05 fof(f2957,plain,(
% 108.32/14.05 spl0_17 <=> ~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f2958,plain,(
% 108.32/14.05 ![X0]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))|~spl0_17)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f2957])).
% 108.32/14.05 fof(f2960,plain,(
% 108.32/14.05 spl0_18 <=> c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f2963,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f750,f690])).
% 108.32/14.05 fof(f2964,plain,(
% 108.32/14.05 spl0_17|spl0_18),
% 108.32/14.05 inference(split_clause,[status(thm)],[f2963,f2957,f2960])).
% 108.32/14.05 fof(f2965,plain,(
% 108.32/14.05 $false|~spl0_17),
% 108.32/14.05 inference(trivial_equality_resolution,[status(esa)],[f2958])).
% 108.32/14.05 fof(f2966,plain,(
% 108.32/14.05 ~spl0_17),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f2965])).
% 108.32/14.05 fof(f2967,plain,(
% 108.32/14.05 $false|~spl0_15),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f2950,f678])).
% 108.32/14.05 fof(f2968,plain,(
% 108.32/14.05 ~spl0_15),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f2967])).
% 108.32/14.05 fof(f3224,plain,(
% 108.32/14.05 spl0_19 <=> ~c_Relation_Oirrefl(c_snd(X0,X0),X0)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f3227,plain,(
% 108.32/14.05 spl0_20 <=> ~hBOOL(X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f3228,plain,(
% 108.32/14.05 ![X0]: (~hBOOL(X0)|~spl0_20)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f3227])).
% 108.32/14.05 fof(f3230,plain,(
% 108.32/14.05 ![X0,X1]: (~c_Relation_Oirrefl(c_snd(X0,X0),X0)|~hBOOL(X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1512,f1954])).
% 108.32/14.05 fof(f3231,plain,(
% 108.32/14.05 spl0_19|spl0_20),
% 108.32/14.05 inference(split_clause,[status(thm)],[f3230,f3224,f3227])).
% 108.32/14.05 fof(f3232,plain,(
% 108.32/14.05 spl0_21 <=> ~c_Relation_Oirrefl(c_fst(X0,X0),X0)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f3235,plain,(
% 108.32/14.05 ![X0,X1]: (~c_Relation_Oirrefl(c_fst(X0,X0),X0)|~hBOOL(X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1512,f1953])).
% 108.32/14.05 fof(f3236,plain,(
% 108.32/14.05 spl0_21|spl0_20),
% 108.32/14.05 inference(split_clause,[status(thm)],[f3235,f3232,f3227])).
% 108.32/14.05 fof(f3243,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1512,f2375])).
% 108.32/14.05 fof(f3246,plain,(
% 108.32/14.05 $false|~spl0_20),
% 108.32/14.05 inference(backward_subsumption_resolution,[status(thm)],[f2588,f3228])).
% 108.32/14.05 fof(f3247,plain,(
% 108.32/14.05 ~spl0_20),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f3246])).
% 108.32/14.05 fof(f3818,plain,(
% 108.32/14.05 spl0_22 <=> ~c_Wellfounded_Owf(c_fst(X0,X0),X0)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f3821,plain,(
% 108.32/14.05 ![X0,X1]: (~c_Wellfounded_Owf(c_fst(X0,X0),X0)|~hBOOL(X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1543,f1953])).
% 108.32/14.05 fof(f3822,plain,(
% 108.32/14.05 spl0_22|spl0_20),
% 108.32/14.05 inference(split_clause,[status(thm)],[f3821,f3818,f3227])).
% 108.32/14.05 fof(f3823,plain,(
% 108.32/14.05 spl0_23 <=> ~c_Wellfounded_Owf(c_snd(X0,X0),X0)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f3826,plain,(
% 108.32/14.05 ![X0,X1]: (~c_Wellfounded_Owf(c_snd(X0,X0),X0)|~hBOOL(X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1543,f1954])).
% 108.32/14.05 fof(f3827,plain,(
% 108.32/14.05 spl0_23|spl0_20),
% 108.32/14.05 inference(split_clause,[status(thm)],[f3826,f3823,f3227])).
% 108.32/14.05 fof(f3834,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1543,f2375])).
% 108.32/14.05 fof(f3853,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~c_Nitpick_Orefl_H(X0,X1)|hBOOL(hAPP(X0,c_Pair(X2,X2,X1,X1))))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1541,f1627])).
% 108.32/14.05 fof(f3855,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (~c_Nitpick_Orefl_H(X0,X1)|c_in(c_Pair(X2,X2,X1,X1),X0,X3))),
% 108.32/14.05 inference(resolution,[status(thm)],[f3853,f1625])).
% 108.32/14.05 fof(f3856,plain,(
% 108.32/14.05 spl0_25 <=> ~c_Nitpick_Orefl_H(c_snd(X0,X0),X0)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f3859,plain,(
% 108.32/14.05 spl0_26 <=> hBOOL(X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f3860,plain,(
% 108.32/14.05 ![X0]: (hBOOL(X0)|~spl0_26)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f3859])).
% 108.32/14.05 fof(f3862,plain,(
% 108.32/14.05 ![X0,X1]: (~c_Nitpick_Orefl_H(c_snd(X0,X0),X0)|hBOOL(X1))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f1087,f3853])).
% 108.32/14.05 fof(f3863,plain,(
% 108.32/14.05 spl0_25|spl0_26),
% 108.32/14.05 inference(split_clause,[status(thm)],[f3862,f3856,f3859])).
% 108.32/14.05 fof(f3864,plain,(
% 108.32/14.05 spl0_27 <=> ~c_Nitpick_Orefl_H(c_fst(X0,X0),X0)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f3867,plain,(
% 108.32/14.05 ![X0,X1]: (~c_Nitpick_Orefl_H(c_fst(X0,X0),X0)|hBOOL(X1))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f1085,f3853])).
% 108.32/14.05 fof(f3868,plain,(
% 108.32/14.05 spl0_27|spl0_26),
% 108.32/14.05 inference(split_clause,[status(thm)],[f3867,f3864,f3859])).
% 108.32/14.05 fof(f3876,plain,(
% 108.32/14.05 $false|~spl0_26),
% 108.32/14.05 inference(backward_subsumption_resolution,[status(thm)],[f855,f3860])).
% 108.32/14.05 fof(f3877,plain,(
% 108.32/14.05 ~spl0_26),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f3876])).
% 108.32/14.05 fof(f4758,plain,(
% 108.32/14.05 spl0_29 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X0,c_snd(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f4761,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (~c_Relation_Oirrefl(c_Set_Oinsert(X0,c_snd(X1,X1),X2),X1)|~hBOOL(X3))),
% 108.32/14.05 inference(resolution,[status(thm)],[f3243,f1954])).
% 108.32/14.05 fof(f4762,plain,(
% 108.32/14.05 spl0_29|spl0_20),
% 108.32/14.05 inference(split_clause,[status(thm)],[f4761,f4758,f3227])).
% 108.32/14.05 fof(f4763,plain,(
% 108.32/14.05 spl0_30 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X0,c_fst(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f4766,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (~c_Relation_Oirrefl(c_Set_Oinsert(X0,c_fst(X1,X1),X2),X1)|~hBOOL(X3))),
% 108.32/14.05 inference(resolution,[status(thm)],[f3243,f1953])).
% 108.32/14.05 fof(f4767,plain,(
% 108.32/14.05 spl0_30|spl0_20),
% 108.32/14.05 inference(split_clause,[status(thm)],[f4766,f4763,f3227])).
% 108.32/14.05 fof(f5011,plain,(
% 108.32/14.05 ![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))))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1424,f1627])).
% 108.32/14.05 fof(f5030,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1057,f1627])).
% 108.32/14.05 fof(f5100,plain,(
% 108.32/14.05 spl0_31 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X0,c_snd(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f5103,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (~c_Wellfounded_Owf(c_Set_Oinsert(X0,c_snd(X1,X1),X2),X1)|~hBOOL(X3))),
% 108.32/14.05 inference(resolution,[status(thm)],[f3834,f1954])).
% 108.32/14.05 fof(f5104,plain,(
% 108.32/14.05 spl0_31|spl0_20),
% 108.32/14.05 inference(split_clause,[status(thm)],[f5103,f5100,f3227])).
% 108.32/14.05 fof(f5105,plain,(
% 108.32/14.05 spl0_32 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X0,c_fst(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f5108,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (~c_Wellfounded_Owf(c_Set_Oinsert(X0,c_fst(X1,X1),X2),X1)|~hBOOL(X3))),
% 108.32/14.05 inference(resolution,[status(thm)],[f3834,f1953])).
% 108.32/14.05 fof(f5109,plain,(
% 108.32/14.05 spl0_32|spl0_20),
% 108.32/14.05 inference(split_clause,[status(thm)],[f5108,f5105,f3227])).
% 108.32/14.05 fof(f5674,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~c_in(X0,X1,tc_prod(X2,X2))|hBOOL(hAPP(c_Transitive__Closure_Otrancl(X1,X2),X0)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1331,f1627])).
% 108.32/14.05 fof(f6415,plain,(
% 108.32/14.05 spl0_33 <=> 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)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f6418,plain,(
% 108.32/14.05 spl0_34 <=> X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f6419,plain,(
% 108.32/14.05 ![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_34)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f6418])).
% 108.32/14.05 fof(f6421,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f859,f859])).
% 108.32/14.05 fof(f6422,plain,(
% 108.32/14.05 spl0_33|spl0_34),
% 108.32/14.05 inference(split_clause,[status(thm)],[f6421,f6415,f6418])).
% 108.32/14.05 fof(f6436,plain,(
% 108.32/14.05 spl0_35 <=> ~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)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f6439,plain,(
% 108.32/14.05 ![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)))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f859,f690])).
% 108.32/14.05 fof(f6440,plain,(
% 108.32/14.05 spl0_35|spl0_34),
% 108.32/14.05 inference(split_clause,[status(thm)],[f6439,f6436,f6418])).
% 108.32/14.05 fof(f6441,plain,(
% 108.32/14.05 ![X0,X1]: (X0=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~spl0_34)),
% 108.32/14.05 inference(duplicate_literals_removal,[status(esa)],[f6419])).
% 108.32/14.05 fof(f6443,plain,(
% 108.32/14.05 $false|~spl0_34),
% 108.32/14.05 inference(backward_subsumption_resolution,[status(thm)],[f678,f6441])).
% 108.32/14.05 fof(f6444,plain,(
% 108.32/14.05 ~spl0_34),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f6443])).
% 108.32/14.05 fof(f9406,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (~c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)|~c_Wellfounded_Owf(X3,X2))),
% 108.32/14.05 inference(resolution,[status(thm)],[f5011,f855])).
% 108.32/14.05 fof(f9407,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f5011,f1625])).
% 108.32/14.05 fof(f9410,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,c_COMBK(X1,X2,X3),X4)|~c_Wellfounded_Owf(X5,X4)|hBOOL(X1))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f741,f5011])).
% 108.32/14.05 fof(f9412,plain,(
% 108.32/14.05 spl0_36 <=> ~c_Nitpick_Orefl_H(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f9415,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (~c_Wellfounded_Owf(X0,X1)|~c_Nitpick_Orefl_H(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3))),
% 108.32/14.05 inference(resolution,[status(thm)],[f9406,f3855])).
% 108.32/14.05 fof(f9416,plain,(
% 108.32/14.05 spl0_6|spl0_36),
% 108.32/14.05 inference(split_clause,[status(thm)],[f9415,f1782,f9412])).
% 108.32/14.05 fof(f9418,plain,(
% 108.32/14.05 spl0_37 <=> hBOOL(X2)|~c_Nitpick_Orefl_H(c_COMBK(X2,X3,X4),X5)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f9421,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4,X5]: (~c_Wellfounded_Owf(X0,X1)|hBOOL(X2)|~c_Nitpick_Orefl_H(c_COMBK(X2,X3,X4),X5))),
% 108.32/14.05 inference(resolution,[status(thm)],[f9410,f3855])).
% 108.32/14.05 fof(f9422,plain,(
% 108.32/14.05 spl0_6|spl0_37),
% 108.32/14.05 inference(split_clause,[status(thm)],[f9421,f1782,f9418])).
% 108.32/14.05 fof(f9423,plain,(
% 108.32/14.05 spl0_38 <=> hBOOL(X2)|~hBOOL(X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f9426,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~c_Wellfounded_Owf(X0,X1)|hBOOL(X2)|~hBOOL(X2))),
% 108.32/14.05 inference(resolution,[status(thm)],[f9410,f1806])).
% 108.32/14.05 fof(f9427,plain,(
% 108.32/14.05 spl0_6|spl0_38),
% 108.32/14.05 inference(split_clause,[status(thm)],[f9426,f1782,f9423])).
% 108.32/14.05 fof(f9428,plain,(
% 108.32/14.05 spl0_39 <=> ~c_in(X0,c_COMBK(X1,X2,X3),X4)|~c_Wellfounded_Owf(X5,X4)|hBOOL(X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f9431,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f9407,f9410])).
% 108.32/14.05 fof(f9432,plain,(
% 108.32/14.05 spl0_39|spl0_6),
% 108.32/14.05 inference(split_clause,[status(thm)],[f9431,f9428,f1782])).
% 108.32/14.05 fof(f9440,plain,(
% 108.32/14.05 spl0_40 <=> ~c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)|~c_Wellfounded_Owf(X3,X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f9443,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f9407,f9406])).
% 108.32/14.05 fof(f9444,plain,(
% 108.32/14.05 spl0_40|spl0_6),
% 108.32/14.05 inference(split_clause,[status(thm)],[f9443,f9440,f1782])).
% 108.32/14.05 fof(f9496,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f5030,f1625])).
% 108.32/14.05 fof(f10113,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,X1,X3))),
% 108.32/14.05 inference(paramodulation,[status(thm)],[f849,f9496])).
% 108.32/14.05 fof(f10403,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),X3)|~c_in(X0,X1,tc_prod(X2,X2)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10113,f1330])).
% 108.32/14.05 fof(f10411,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (c_in(X0,c_Transitive__Closure_Otrancl(X1,X2),X3)|~c_in(X0,X1,tc_prod(X2,X2)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10113,f1331])).
% 108.32/14.05 fof(f10592,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10403,f1954])).
% 108.32/14.05 fof(f10593,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10403,f1953])).
% 108.32/14.05 fof(f10889,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10411,f1954])).
% 108.32/14.05 fof(f10890,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10411,f1953])).
% 108.32/14.05 fof(f17000,plain,(
% 108.32/14.05 spl0_44 <=> ~c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_snd(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17003,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_snd(X1,X1),X2),X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10592,f1543])).
% 108.32/14.05 fof(f17004,plain,(
% 108.32/14.05 spl0_20|spl0_44),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17003,f3227,f17000])).
% 108.32/14.05 fof(f17005,plain,(
% 108.32/14.05 spl0_45 <=> ~c_Relation_Oirrefl(c_Transitive__Closure_Ortrancl(c_snd(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17008,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Transitive__Closure_Ortrancl(c_snd(X1,X1),X2),X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10592,f1512])).
% 108.32/14.05 fof(f17009,plain,(
% 108.32/14.05 spl0_20|spl0_45),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17008,f3227,f17005])).
% 108.32/14.05 fof(f17010,plain,(
% 108.32/14.05 spl0_46 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_snd(X2,X2),X3),X4),X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17013,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10592,f3834])).
% 108.32/14.05 fof(f17014,plain,(
% 108.32/14.05 spl0_20|spl0_46),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17013,f3227,f17010])).
% 108.32/14.05 fof(f17015,plain,(
% 108.32/14.05 spl0_47 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_snd(X2,X2),X3),X4),X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17018,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10592,f3243])).
% 108.32/14.05 fof(f17019,plain,(
% 108.32/14.05 spl0_20|spl0_47),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17018,f3227,f17015])).
% 108.32/14.05 fof(f17027,plain,(
% 108.32/14.05 spl0_48 <=> ~c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_fst(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17030,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_fst(X1,X1),X2),X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10593,f1543])).
% 108.32/14.05 fof(f17031,plain,(
% 108.32/14.05 spl0_20|spl0_48),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17030,f3227,f17027])).
% 108.32/14.05 fof(f17032,plain,(
% 108.32/14.05 spl0_49 <=> ~c_Relation_Oirrefl(c_Transitive__Closure_Ortrancl(c_fst(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17035,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Transitive__Closure_Ortrancl(c_fst(X1,X1),X2),X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10593,f1512])).
% 108.32/14.05 fof(f17036,plain,(
% 108.32/14.05 spl0_20|spl0_49),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17035,f3227,f17032])).
% 108.32/14.05 fof(f17037,plain,(
% 108.32/14.05 spl0_50 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_fst(X2,X2),X3),X4),X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17040,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10593,f3834])).
% 108.32/14.05 fof(f17041,plain,(
% 108.32/14.05 spl0_20|spl0_50),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17040,f3227,f17037])).
% 108.32/14.05 fof(f17042,plain,(
% 108.32/14.05 spl0_51 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Ortrancl(c_fst(X2,X2),X3),X4),X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17045,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10593,f3243])).
% 108.32/14.05 fof(f17046,plain,(
% 108.32/14.05 spl0_20|spl0_51),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17045,f3227,f17042])).
% 108.32/14.05 fof(f17675,plain,(
% 108.32/14.05 spl0_52 <=> ~c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(c_snd(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17678,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(c_snd(X1,X1),X2),X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10889,f1543])).
% 108.32/14.05 fof(f17679,plain,(
% 108.32/14.05 spl0_20|spl0_52),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17678,f3227,f17675])).
% 108.32/14.05 fof(f17680,plain,(
% 108.32/14.05 spl0_53 <=> ~c_Relation_Oirrefl(c_Transitive__Closure_Otrancl(c_snd(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17683,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Transitive__Closure_Otrancl(c_snd(X1,X1),X2),X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10889,f1512])).
% 108.32/14.05 fof(f17684,plain,(
% 108.32/14.05 spl0_20|spl0_53),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17683,f3227,f17680])).
% 108.32/14.05 fof(f17685,plain,(
% 108.32/14.05 spl0_54 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_snd(X2,X2),X3),X4),X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17688,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10889,f3834])).
% 108.32/14.05 fof(f17689,plain,(
% 108.32/14.05 spl0_20|spl0_54),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17688,f3227,f17685])).
% 108.32/14.05 fof(f17690,plain,(
% 108.32/14.05 spl0_55 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_snd(X2,X2),X3),X4),X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17693,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10889,f3243])).
% 108.32/14.05 fof(f17694,plain,(
% 108.32/14.05 spl0_20|spl0_55),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17693,f3227,f17690])).
% 108.32/14.05 fof(f17702,plain,(
% 108.32/14.05 spl0_56 <=> ~c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(c_fst(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17705,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~hBOOL(X0)|~c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(c_fst(X1,X1),X2),X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10890,f1543])).
% 108.32/14.05 fof(f17706,plain,(
% 108.32/14.05 spl0_20|spl0_56),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17705,f3227,f17702])).
% 108.32/14.05 fof(f17707,plain,(
% 108.32/14.05 spl0_57 <=> ~c_Relation_Oirrefl(c_Transitive__Closure_Otrancl(c_fst(X1,X1),X2),X1)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17710,plain,(
% 108.32/14.05 ![X0,X1,X2]: (~hBOOL(X0)|~c_Relation_Oirrefl(c_Transitive__Closure_Otrancl(c_fst(X1,X1),X2),X1))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10890,f1512])).
% 108.32/14.05 fof(f17711,plain,(
% 108.32/14.05 spl0_20|spl0_57),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17710,f3227,f17707])).
% 108.32/14.05 fof(f17712,plain,(
% 108.32/14.05 spl0_58 <=> ~c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_fst(X2,X2),X3),X4),X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17715,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10890,f3834])).
% 108.32/14.05 fof(f17716,plain,(
% 108.32/14.05 spl0_20|spl0_58),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17715,f3227,f17712])).
% 108.32/14.05 fof(f17717,plain,(
% 108.32/14.05 spl0_59 <=> ~c_Relation_Oirrefl(c_Set_Oinsert(X1,c_Transitive__Closure_Otrancl(c_fst(X2,X2),X3),X4),X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f17720,plain,(
% 108.32/14.05 ![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))),
% 108.32/14.05 inference(resolution,[status(thm)],[f10890,f3243])).
% 108.32/14.05 fof(f17721,plain,(
% 108.32/14.05 spl0_20|spl0_59),
% 108.32/14.05 inference(split_clause,[status(thm)],[f17720,f3227,f17717])).
% 108.32/14.05 fof(f25847,plain,(
% 108.32/14.05 ![X0]: (c_Nitpick_Orefl_H(c_Relation_OId(X0),X0))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1255,f2373])).
% 108.32/14.05 fof(f26343,plain,(
% 108.32/14.05 spl0_60 <=> c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P____,X2,v_a____,X0,v_b____,X1)),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)))|v_b____=X0|v_a____=X1|X0=X1|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,X2,v_a____,X0,v_b____,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26344,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P____,X2,v_a____,X0,v_b____,X1)),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)))|v_b____=X0|v_a____=X1|X0=X1|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,X2,v_a____,X0,v_b____,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_60)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26343])).
% 108.32/14.05 fof(f26346,plain,(
% 108.32/14.05 spl0_61 <=> 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)))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26348,plain,(
% 108.32/14.05 ~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_61),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26346])).
% 108.32/14.05 fof(f26349,plain,(
% 108.32/14.05 spl0_62 <=> v_a____=v_b____),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26350,plain,(
% 108.32/14.05 v_a____=v_b____|~spl0_62),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26349])).
% 108.32/14.05 fof(f26352,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),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_F,v_P____),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(v_P____,X2,v_a____,X0,v_b____,X1)),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(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)))|v_b____=X0|v_a____=X1|X0=X1|v_a____=v_b____|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,X2,v_a____,X0,v_b____,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1631,f1633])).
% 108.32/14.05 fof(f26353,plain,(
% 108.32/14.05 spl0_60|~spl0_1|~spl0_61|spl0_62),
% 108.32/14.05 inference(split_clause,[status(thm)],[f26352,f26343,f1675,f26346,f26349])).
% 108.32/14.05 fof(f26354,plain,(
% 108.32/14.05 spl0_63 <=> c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),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)))|v_b_H____=X0|v_a_H____=X1|X0=X1|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_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26355,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),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)))|v_b_H____=X0|v_a_H____=X1|X0=X1|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_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_63)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26354])).
% 108.32/14.05 fof(f26357,plain,(
% 108.32/14.05 spl0_64 <=> c_in(v_P_H____,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)))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26359,plain,(
% 108.32/14.05 ~c_in(v_P_H____,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_64),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26357])).
% 108.32/14.05 fof(f26360,plain,(
% 108.32/14.05 spl0_65 <=> v_a_H____=v_b_H____),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26361,plain,(
% 108.32/14.05 v_a_H____=v_b_H____|~spl0_65),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26360])).
% 108.32/14.05 fof(f26363,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),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(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),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(v_P_H____,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)))|v_b_H____=X0|v_a_H____=X1|X0=X1|v_a_H____=v_b_H____|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_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1631,f1632])).
% 108.32/14.05 fof(f26364,plain,(
% 108.32/14.05 spl0_63|~spl0_0|~spl0_64|spl0_65),
% 108.32/14.05 inference(split_clause,[status(thm)],[f26363,f26354,f1672,f26357,f26360])).
% 108.32/14.05 fof(f26376,plain,(
% 108.32/14.05 $false|spl0_64),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f26359,f1813])).
% 108.32/14.05 fof(f26377,plain,(
% 108.32/14.05 spl0_64),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f26376])).
% 108.32/14.05 fof(f26378,plain,(
% 108.32/14.05 $false|spl0_61),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f26348,f1811])).
% 108.32/14.05 fof(f26379,plain,(
% 108.32/14.05 spl0_61),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f26378])).
% 108.32/14.05 fof(f26478,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P____,X2,v_a____,X0,v_b____,X1)),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)))|v_b____=X0|v_a____=X1|X0=X1|hBOOL(hAPP(c_Transitive__Closure_Otrancl(hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,X2,v_a____,X0,v_b____,X1)),tc_Arrow__Order__Mirabelle_Oalt),c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_60)),
% 108.32/14.05 inference(resolution,[status(thm)],[f26344,f5674])).
% 108.32/14.05 fof(f26480,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P____,X2,v_a____,X0,v_b____,X1)),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)))|v_b____=X0|v_a____=X1|X0=X1|hBOOL(hAPP(hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,X2,v_a____,X0,v_b____,X1)),c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_60)),
% 108.32/14.05 inference(resolution,[status(thm)],[f26344,f1627])).
% 108.32/14.05 fof(f26601,plain,(
% 108.32/14.05 spl0_68 <=> v_b____=v_a_H____),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26602,plain,(
% 108.32/14.05 v_b____=v_a_H____|~spl0_68),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26601])).
% 108.32/14.05 fof(f26604,plain,(
% 108.32/14.05 spl0_69 <=> v_a____=v_b_H____),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26605,plain,(
% 108.32/14.05 v_a____=v_b_H____|~spl0_69),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26604])).
% 108.32/14.05 fof(f26607,plain,(
% 108.32/14.05 spl0_70 <=> hBOOL(hAPP(c_Transitive__Closure_Otrancl(hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_Arrow__Order__Mirabelle_Oalt),c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26610,plain,(
% 108.32/14.05 spl0_71 <=> 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_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26611,plain,(
% 108.32/14.05 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_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_71),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26610])).
% 108.32/14.05 fof(f26613,plain,(
% 108.32/14.05 c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(v_P_H____,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)))|v_b____=v_a_H____|v_a____=v_b_H____|v_a_H____=v_b_H____|hBOOL(hAPP(c_Transitive__Closure_Otrancl(hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_Arrow__Order__Mirabelle_Oalt),c_Pair(v_a_H____,v_b_H____,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_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_60),
% 108.32/14.05 inference(resolution,[status(thm)],[f26478,f1632])).
% 108.32/14.05 fof(f26614,plain,(
% 108.32/14.05 spl0_0|~spl0_64|spl0_68|spl0_69|spl0_65|spl0_70|spl0_71|~spl0_60),
% 108.32/14.05 inference(split_clause,[status(thm)],[f26613,f1672,f26357,f26601,f26604,f26360,f26607,f26610,f26343])).
% 108.32/14.05 fof(f26626,plain,(
% 108.32/14.05 $false|~spl0_65),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f26361,f1638])).
% 108.32/14.05 fof(f26627,plain,(
% 108.32/14.05 ~spl0_65),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f26626])).
% 108.32/14.05 fof(f26628,plain,(
% 108.32/14.05 $false|~spl0_62),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f26350,f1639])).
% 108.32/14.05 fof(f26629,plain,(
% 108.32/14.05 ~spl0_62),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f26628])).
% 108.32/14.05 fof(f26630,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),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)))|v_b_H____=X0|v_a_H____=X1|X0=X1|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_63)),
% 108.32/14.05 inference(resolution,[status(thm)],[f26355,f1633])).
% 108.32/14.05 fof(f26636,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),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)))|v_b_H____=X0|v_a_H____=X1|X0=X1|hBOOL(hAPP(hAPP(v_P____,v_sko__CHAINED__1(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_63)),
% 108.32/14.05 inference(resolution,[status(thm)],[f26355,f1627])).
% 108.32/14.05 fof(f26643,plain,(
% 108.32/14.05 spl0_73 <=> hBOOL(hAPP(hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26644,plain,(
% 108.32/14.05 hBOOL(hAPP(hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_73),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26643])).
% 108.32/14.05 fof(f26646,plain,(
% 108.32/14.05 c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(v_P_H____,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)))|v_b____=v_a_H____|v_a____=v_b_H____|v_a_H____=v_b_H____|hBOOL(hAPP(hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),c_Pair(v_a_H____,v_b_H____,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_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_60),
% 108.32/14.05 inference(resolution,[status(thm)],[f26480,f1632])).
% 108.32/14.05 fof(f26647,plain,(
% 108.32/14.05 spl0_0|~spl0_64|spl0_68|spl0_69|spl0_65|spl0_73|spl0_71|~spl0_60),
% 108.32/14.05 inference(split_clause,[status(thm)],[f26646,f1672,f26357,f26601,f26604,f26360,f26643,f26610,f26343])).
% 108.32/14.05 fof(f26877,plain,(
% 108.32/14.05 c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_71),
% 108.32/14.05 inference(resolution,[status(thm)],[f26611,f1633])).
% 108.32/14.05 fof(f26878,plain,(
% 108.32/14.05 spl0_74 <=> c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26880,plain,(
% 108.32/14.05 ~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|spl0_74),
% 108.32/14.05 inference(component_clause,[status(thm)],[f26878])).
% 108.32/14.05 fof(f26881,plain,(
% 108.32/14.05 c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),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_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(v_P_H____,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)))|v_b____=v_a_H____|v_a____=v_b_H____|v_a_H____=v_b_H____|v_a____=v_b____|~spl0_71),
% 108.32/14.05 inference(resolution,[status(thm)],[f26611,f1629])).
% 108.32/14.05 fof(f26882,plain,(
% 108.32/14.05 spl0_0|~spl0_1|~spl0_74|~spl0_64|~spl0_61|spl0_68|spl0_69|spl0_65|spl0_62|~spl0_71),
% 108.32/14.05 inference(split_clause,[status(thm)],[f26881,f1672,f1675,f26878,f26357,f26346,f26601,f26604,f26360,f26349,f26610])).
% 108.32/14.05 fof(f26889,plain,(
% 108.32/14.05 $false|~spl0_69),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f26605,f1637])).
% 108.32/14.05 fof(f26890,plain,(
% 108.32/14.05 ~spl0_69),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f26889])).
% 108.32/14.05 fof(f26891,plain,(
% 108.32/14.05 $false|~spl0_68),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f26602,f1636])).
% 108.32/14.05 fof(f26892,plain,(
% 108.32/14.05 ~spl0_68),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f26891])).
% 108.32/14.05 fof(f26893,plain,(
% 108.32/14.05 ![X0]: (c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),X0)|~spl0_73)),
% 108.32/14.05 inference(resolution,[status(thm)],[f26644,f1625])).
% 108.32/14.05 fof(f26894,plain,(
% 108.32/14.05 $false|~spl0_73|spl0_74),
% 108.32/14.05 inference(backward_subsumption_resolution,[status(thm)],[f26880,f26893])).
% 108.32/14.05 fof(f26895,plain,(
% 108.32/14.05 ~spl0_73|spl0_74),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f26894])).
% 108.32/14.05 fof(f26896,plain,(
% 108.32/14.05 $false|~spl0_71|spl0_74),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f26880,f26877])).
% 108.32/14.05 fof(f26897,plain,(
% 108.32/14.05 ~spl0_71|spl0_74),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f26896])).
% 108.32/14.05 fof(f26898,plain,(
% 108.32/14.05 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_P____,v_P_H____,v_a____,v_a_H____,v_b____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_73),
% 108.32/14.05 inference(resolution,[status(thm)],[f26893,f1632])).
% 108.32/14.05 fof(f26899,plain,(
% 108.32/14.05 spl0_71|~spl0_73),
% 108.32/14.05 inference(split_clause,[status(thm)],[f26898,f26610,f26643])).
% 108.32/14.05 fof(f26934,plain,(
% 108.32/14.05 spl0_75 <=> c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),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)))|v_b_H____=X0|v_a_H____=X1|X0=X1|c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),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)))|v_b_H____=X0|v_a_H____=X1|X0=X1),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f26937,plain,(
% 108.32/14.05 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(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),hAPP(X2,v_sko__CHAINED__1(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),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)))|v_b_H____=X0|v_a_H____=X1|X0=X1|c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),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(v_P_H____,X2,v_a_H____,X0,v_b_H____,X1)),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(v_P_H____,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)))|v_b_H____=X0|v_a_H____=X1|X0=X1|v_a_H____=v_b_H____|~spl0_63)),
% 108.32/14.05 inference(resolution,[status(thm)],[f26630,f1629])).
% 108.32/14.05 fof(f26938,plain,(
% 108.32/14.05 spl0_75|~spl0_0|~spl0_64|spl0_65|~spl0_63),
% 108.32/14.05 inference(split_clause,[status(thm)],[f26937,f26934,f1672,f26357,f26360,f26354])).
% 108.32/14.05 fof(f27035,plain,(
% 108.32/14.05 spl0_77 <=> c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f27036,plain,(
% 108.32/14.05 c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_77),
% 108.32/14.05 inference(component_clause,[status(thm)],[f27035])).
% 108.32/14.05 fof(f27065,plain,(
% 108.32/14.05 spl0_81 <=> hBOOL(hAPP(hAPP(v_P____,v_sko__CHAINED__1(v_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f27066,plain,(
% 108.32/14.05 hBOOL(hAPP(hAPP(v_P____,v_sko__CHAINED__1(v_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~spl0_81),
% 108.32/14.05 inference(component_clause,[status(thm)],[f27065])).
% 108.32/14.05 fof(f27068,plain,(
% 108.32/14.05 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,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)))|v_b_H____=v_a____|v_a_H____=v_b____|v_a____=v_b____|hBOOL(hAPP(hAPP(v_P____,v_sko__CHAINED__1(v_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_63),
% 108.32/14.05 inference(resolution,[status(thm)],[f26636,f1633])).
% 108.32/14.05 fof(f27069,plain,(
% 108.32/14.05 spl0_1|~spl0_61|spl0_69|spl0_68|spl0_62|spl0_81|spl0_77|~spl0_63),
% 108.32/14.05 inference(split_clause,[status(thm)],[f27068,f1675,f26346,f26604,f26601,f26349,f27065,f27035,f26354])).
% 108.32/14.05 fof(f28678,plain,(
% 108.32/14.05 spl0_91 <=> X0=X1|~c_in(c_Pair(X1,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(c_COMBK(X2,X3,X4),t_a),tc_prod(t_a,t_a))|hBOOL(X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f28679,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4]: (X0=X1|~c_in(c_Pair(X1,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(c_COMBK(X2,X3,X4),t_a),tc_prod(t_a,t_a))|hBOOL(X2)|~spl0_91)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f28678])).
% 108.32/14.05 fof(f28681,plain,(
% 108.32/14.05 spl0_92 <=> ~c_Wellfounded_Owf(X5,tc_prod(t_a,t_a))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f28682,plain,(
% 108.32/14.05 ![X0]: (~c_Wellfounded_Owf(X0,tc_prod(t_a,t_a))|~spl0_92)),
% 108.32/14.05 inference(component_clause,[status(thm)],[f28681])).
% 108.32/14.05 fof(f28684,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4,X5]: (X0=X1|~c_in(c_Pair(X1,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(c_COMBK(X2,X3,X4),t_a),tc_prod(t_a,t_a))|~c_Wellfounded_Owf(X5,tc_prod(t_a,t_a))|hBOOL(X2))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1309,f9410])).
% 108.32/14.05 fof(f28685,plain,(
% 108.32/14.05 spl0_91|spl0_92),
% 108.32/14.05 inference(split_clause,[status(thm)],[f28684,f28678,f28681])).
% 108.32/14.05 fof(f28690,plain,(
% 108.32/14.05 spl0_93 <=> X0=X1|~c_in(c_Pair(X1,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),t_a),tc_prod(t_a,t_a))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f28693,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (X0=X1|~c_in(c_Pair(X1,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),t_a),tc_prod(t_a,t_a))|~c_Wellfounded_Owf(X3,tc_prod(t_a,t_a)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1309,f9406])).
% 108.32/14.05 fof(f28694,plain,(
% 108.32/14.05 spl0_93|spl0_92),
% 108.32/14.05 inference(split_clause,[status(thm)],[f28693,f28690,f28681])).
% 108.32/14.05 fof(f28733,plain,(
% 108.32/14.05 spl0_94 <=> c_in(c_Pair(X0,X1,t_a,t_a),c_COMBK(X2,X3,X4),tc_prod(t_a,t_a))|~c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Otrancl(c_COMBK(X2,X3,X4),t_a),tc_prod(t_a,t_a))|hBOOL(X2)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f28736,plain,(
% 108.32/14.05 ![X0,X1,X2,X3,X4,X5]: (c_in(c_Pair(X0,X1,t_a,t_a),c_COMBK(X2,X3,X4),tc_prod(t_a,t_a))|~c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Otrancl(c_COMBK(X2,X3,X4),t_a),tc_prod(t_a,t_a))|~c_Wellfounded_Owf(X5,tc_prod(t_a,t_a))|hBOOL(X2))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1286,f9410])).
% 108.32/14.05 fof(f28737,plain,(
% 108.32/14.05 spl0_94|spl0_92),
% 108.32/14.05 inference(split_clause,[status(thm)],[f28736,f28733,f28681])).
% 108.32/14.05 fof(f28742,plain,(
% 108.32/14.05 spl0_95 <=> c_in(c_Pair(X0,X1,t_a,t_a),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_prod(t_a,t_a))|~c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),t_a),tc_prod(t_a,t_a))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f28745,plain,(
% 108.32/14.05 ![X0,X1,X2,X3]: (c_in(c_Pair(X0,X1,t_a,t_a),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_prod(t_a,t_a))|~c_in(c_Pair(X0,X1,t_a,t_a),c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),t_a),tc_prod(t_a,t_a))|~c_Wellfounded_Owf(X3,tc_prod(t_a,t_a)))),
% 108.32/14.05 inference(resolution,[status(thm)],[f1286,f9406])).
% 108.32/14.05 fof(f28746,plain,(
% 108.32/14.05 spl0_95|spl0_92),
% 108.32/14.05 inference(split_clause,[status(thm)],[f28745,f28742,f28681])).
% 108.32/14.05 fof(f28912,plain,(
% 108.32/14.05 $false|~spl0_92),
% 108.32/14.05 inference(resolution,[status(thm)],[f28682,f951])).
% 108.32/14.05 fof(f28913,plain,(
% 108.32/14.05 ~spl0_92),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f28912])).
% 108.32/14.05 fof(f28915,plain,(
% 108.32/14.05 spl0_96 <=> c_Nitpick_Orefl_H(c_Relation_OId(t_a),t_a)),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f28917,plain,(
% 108.32/14.05 ~c_Nitpick_Orefl_H(c_Relation_OId(t_a),t_a)|spl0_96),
% 108.32/14.05 inference(component_clause,[status(thm)],[f28915])).
% 108.32/14.05 fof(f28932,plain,(
% 108.32/14.05 $false|spl0_96),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f28917,f25847])).
% 108.32/14.05 fof(f28933,plain,(
% 108.32/14.05 spl0_96),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f28932])).
% 108.32/14.05 fof(f28941,plain,(
% 108.32/14.05 ![X0,X1]: (X0=X0|hBOOL(X1)|~spl0_91)),
% 108.32/14.05 inference(resolution,[status(thm)],[f28679,f2593])).
% 108.32/14.05 fof(f28942,plain,(
% 108.32/14.05 spl0_3|spl0_26|~spl0_91),
% 108.32/14.05 inference(split_clause,[status(thm)],[f28941,f1753,f3859,f28678])).
% 108.32/14.05 fof(f30016,plain,(
% 108.32/14.05 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_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_77),
% 108.32/14.05 inference(resolution,[status(thm)],[f27036,f1632])).
% 108.32/14.05 fof(f30017,plain,(
% 108.32/14.05 spl0_102 <=> 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_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 108.32/14.05 introduced(split_symbol_definition)).
% 108.32/14.05 fof(f30019,plain,(
% 108.32/14.05 ~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_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|spl0_102),
% 108.32/14.05 inference(component_clause,[status(thm)],[f30017])).
% 108.32/14.05 fof(f30020,plain,(
% 108.32/14.05 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),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_sko__CHAINED__1(v_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),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(v_P_H____,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)))|v_b_H____=v_a____|v_a_H____=v_b____|v_a____=v_b____|v_a_H____=v_b_H____|~spl0_77),
% 108.32/14.05 inference(resolution,[status(thm)],[f27036,f1629])).
% 108.32/14.05 fof(f30021,plain,(
% 108.32/14.05 spl0_1|~spl0_0|~spl0_102|~spl0_61|~spl0_64|spl0_69|spl0_68|spl0_62|spl0_65|~spl0_77),
% 108.32/14.05 inference(split_clause,[status(thm)],[f30020,f1675,f1672,f30017,f26346,f26357,f26604,f26601,f26349,f26360,f27035])).
% 108.32/14.05 fof(f30028,plain,(
% 108.32/14.05 $false|~spl0_77|spl0_102),
% 108.32/14.05 inference(forward_subsumption_resolution,[status(thm)],[f30019,f30016])).
% 108.32/14.05 fof(f30029,plain,(
% 108.32/14.05 ~spl0_77|spl0_102),
% 108.32/14.05 inference(contradiction_clause,[status(thm)],[f30028])).
% 108.32/14.05 fof(f30030,plain,(
% 108.32/14.05 ![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_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),X0)|~spl0_81)),
% 108.32/14.05 inference(resolution,[status(thm)],[f27066,f1625])).
% 108.32/14.05 fof(f30031,plain,(
% 108.32/14.05 c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P_H____,v_P____,v_a_H____,v_a____,v_b_H____,v_b____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_81),
% 108.32/14.05 inference(resolution,[status(thm)],[f30030,f1633])).
% 108.32/14.05 fof(f30032,plain,(
% 108.32/14.05 spl0_77|~spl0_81),
% 108.32/14.05 inference(split_clause,[status(thm)],[f30031,f27035,f27065])).
% 110.04/14.24 fof(f30039,plain,(
% 110.04/14.24 $false),
% 110.04/14.24 inference(sat_refutation,[status(thm)],[f1678,f1679,f1786,f1966,f1969,f2956,f2964,f2966,f2968,f3231,f3236,f3247,f3822,f3827,f3863,f3868,f3877,f4762,f4767,f5104,f5109,f6422,f6440,f6444,f9416,f9422,f9427,f9432,f9444,f17004,f17009,f17014,f17019,f17031,f17036,f17041,f17046,f17679,f17684,f17689,f17694,f17706,f17711,f17716,f17721,f26353,f26364,f26377,f26379,f26614,f26627,f26629,f26647,f26882,f26890,f26892,f26895,f26897,f26899,f26938,f27069,f28685,f28694,f28737,f28746,f28913,f28933,f28942,f30021,f30029,f30032])).
% 110.04/14.24 % SZS output end CNFRefutation for theBenchmark.p
% 110.96/14.42 % Elapsed time: 14.065936 seconds
% 110.96/14.42 % CPU time: 110.030759 seconds
% 110.96/14.42 % Total memory used: 1.527 GB
% 110.96/14.42 % Net memory used: 1.489 GB
%------------------------------------------------------------------------------