TSTP Solution File: SCT117+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT117+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Wed May 31 12:33:14 EDT 2023
% Result : Theorem 62.82s 8.30s
% Output : CNFRefutation 62.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT117+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 09:59:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.39 % Drodi V3.5.1
% 62.82/8.30 % Refutation found
% 62.82/8.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 62.82/8.30 % SZS output start CNFRefutation for theBenchmark
% 62.82/8.30 fof(f4,axiom,(
% 62.82/8.30 (! [V_z_2,V_La_2,V_ya_2,V_xa_2] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_z_2))<=> ( V_xa_2 != V_z_2& ( V_ya_2 = V_z_2=> V_xa_2 != V_ya_2 )& ( V_ya_2 != V_z_2=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2) ) ) ) )),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f7,axiom,(
% 62.82/8.30 (! [V_r_2,T_a] :( c_Nitpick_Orefl_H(T_a,V_r_2)<=> (! [B_x] : c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2) )) )),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f11,axiom,(
% 62.82/8.30 (! [V_A_2,V_xa_2,T_a] :( c_member(T_a,V_xa_2,V_A_2)<=> hBOOL(hAPP(V_A_2,V_xa_2)) ) )),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f16,axiom,(
% 62.82/8.30 (! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :( c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))<=> ( c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)| ( V_a_2 = V_a_H_2& c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2) ) ) ) )),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f22,axiom,(
% 62.82/8.30 (! [V_f_2,T_b,V_r_2,V_a_2,V_xa_2,T_a] :( c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),V_r_2)=> hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2),V_xa_2) = hAPP(V_f_2,V_xa_2) ) )),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f190,axiom,(
% 62.82/8.30 (! [V_A_2,V_a_2,T_a] :( c_member(T_a,V_a_2,V_A_2)=> c_Set_Oinsert(T_a,V_a_2,V_A_2) = V_A_2 ) )),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f429,axiom,(
% 62.82/8.30 (! [V_a_2,V_D_2,V_C_2,T_a] :( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)=> c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2)) ) )),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f431,axiom,(
% 62.82/8.30 (! [V_a_2,V_B_2,T_a] : c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)) )),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f458,axiom,(
% 62.82/8.30 (! [V_B_2,V_A_2,V_xa_2,T_a] :( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)<=> ( c_member(T_a,V_xa_2,V_B_2)& c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2) ) ) )),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f526,hypothesis,(
% 62.82/8.30 v_x != v_y ),
% 62.82/8.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.30 fof(f527,hypothesis,(
% 62.82/8.30 ( (! [B_x,B_y] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)=> (! [B_z] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) ) )))& (! [B_x] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_x),v_L))& (! [B_x,B_y] :( B_x != B_y=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L) ) ) )) ),
% 62.82/8.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.32 fof(f528,conjecture,(
% 62.82/8.32 ( (! [B_x,B_y] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_y& B_y != v_y )=> (! [B_z] :( ( ( B_y = v_x& B_z = v_y )=> ( B_x = v_x| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L) ) )& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) )& ( ( B_z = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L) )=> ( B_x = v_x| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L) ) ) ) ))& ( ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)& B_x != v_y )=> (! [B_z] :( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) ) ))& ( ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L)& B_y != v_y )=> (! [B_z] :( ( B_y = v_x=> B_z != v_y )& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L) )& ( B_z = v_y=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L) ) ) )) ))& (! [B_x,B_y] :( B_x != B_y=> ( ( B_x = v_x& B_y = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_y& B_y != v_y )| ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)& B_x != v_y )| ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L)& B_y != v_y )| ( B_y = v_x& B_x = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)& B_y != v_y& B_x != v_y )| ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)& B_y != v_y )| ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_x),v_L)& B_x != v_y ) ) ) )) ),
% 62.82/8.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.82/8.32 fof(f529,negated_conjecture,(
% 62.82/8.32 ~(( (! [B_x,B_y] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_y& B_y != v_y )=> (! [B_z] :( ( ( B_y = v_x& B_z = v_y )=> ( B_x = v_x| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L) ) )& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) )& ( ( B_z = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L) )=> ( B_x = v_x| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L) ) ) ) ))& ( ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)& B_x != v_y )=> (! [B_z] :( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) ) ))& ( ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L)& B_y != v_y )=> (! [B_z] :( ( B_y = v_x=> B_z != v_y )& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L) )& ( B_z = v_y=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L) ) ) )) ))& (! [B_x,B_y] :( B_x != B_y=> ( ( B_x = v_x& B_y = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_y& B_y != v_y )| ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)& B_x != v_y )| ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L)& B_y != v_y )| ( B_y = v_x& B_x = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)& B_y != v_y& B_x != v_y )| ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)& B_y != v_y )| ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_x),v_L)& B_x != v_y ) ) ) )) )),
% 62.82/8.32 inference(negated_conjecture,[status(cth)],[f528])).
% 62.82/8.32 fof(f549,plain,(
% 62.82/8.32 ![V_z_2,V_La_2,V_ya_2,V_xa_2]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_z_2))<=>((~V_xa_2=V_z_2&(~V_ya_2=V_z_2|~V_xa_2=V_ya_2))&(V_ya_2=V_z_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2))))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 62.82/8.32 fof(f550,plain,(
% 62.82/8.32 ![V_z_2,V_La_2,V_ya_2,V_xa_2]: ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_z_2))|((~V_xa_2=V_z_2&(~V_ya_2=V_z_2|~V_xa_2=V_ya_2))&(V_ya_2=V_z_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2))))&(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_z_2))|((V_xa_2=V_z_2|(V_ya_2=V_z_2&V_xa_2=V_ya_2))|(~V_ya_2=V_z_2&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2)))))),
% 62.82/8.32 inference(NNF_transformation,[status(esa)],[f549])).
% 62.82/8.32 fof(f551,plain,(
% 62.82/8.32 (![V_z_2,V_La_2,V_ya_2,V_xa_2]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_z_2))|((~V_xa_2=V_z_2&(~V_ya_2=V_z_2|~V_xa_2=V_ya_2))&(V_ya_2=V_z_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2)))))&(![V_z_2,V_La_2,V_ya_2,V_xa_2]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_z_2))|((V_xa_2=V_z_2|(V_ya_2=V_z_2&V_xa_2=V_ya_2))|(~V_ya_2=V_z_2&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2)))))),
% 62.82/8.32 inference(miniscoping,[status(esa)],[f550])).
% 62.82/8.32 fof(f552,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),c_Arrow__Order__Mirabelle_Omktop(X2,X3))|~X0=X3)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f551])).
% 62.82/8.32 fof(f566,plain,(
% 62.82/8.32 ![V_r_2,T_a]: ((~c_Nitpick_Orefl_H(T_a,V_r_2)|(![B_x]: c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2)))&(c_Nitpick_Orefl_H(T_a,V_r_2)|(?[B_x]: ~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))))),
% 62.82/8.32 inference(NNF_transformation,[status(esa)],[f7])).
% 62.82/8.32 fof(f567,plain,(
% 62.82/8.32 (![V_r_2,T_a]: (~c_Nitpick_Orefl_H(T_a,V_r_2)|(![B_x]: c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))))&(![V_r_2,T_a]: (c_Nitpick_Orefl_H(T_a,V_r_2)|(?[B_x]: ~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))))),
% 62.82/8.32 inference(miniscoping,[status(esa)],[f566])).
% 62.82/8.32 fof(f568,plain,(
% 62.82/8.32 (![V_r_2,T_a]: (~c_Nitpick_Orefl_H(T_a,V_r_2)|(![B_x]: c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))))&(![V_r_2,T_a]: (c_Nitpick_Orefl_H(T_a,V_r_2)|~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,sk0_1(T_a,V_r_2),sk0_1(T_a,V_r_2)),V_r_2)))),
% 62.82/8.32 inference(skolemization,[status(esa)],[f567])).
% 62.82/8.32 fof(f569,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_Nitpick_Orefl_H(X0,X1)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f568])).
% 62.82/8.32 fof(f570,plain,(
% 62.82/8.32 ![X0,X1]: (c_Nitpick_Orefl_H(X0,X1)|~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sk0_1(X0,X1),sk0_1(X0,X1)),X1))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f568])).
% 62.82/8.32 fof(f585,plain,(
% 62.82/8.32 ![V_A_2,V_xa_2,T_a]: ((~c_member(T_a,V_xa_2,V_A_2)|hBOOL(hAPP(V_A_2,V_xa_2)))&(c_member(T_a,V_xa_2,V_A_2)|~hBOOL(hAPP(V_A_2,V_xa_2))))),
% 62.82/8.32 inference(NNF_transformation,[status(esa)],[f11])).
% 62.82/8.32 fof(f586,plain,(
% 62.82/8.32 (![V_A_2,V_xa_2]: ((![T_a]: ~c_member(T_a,V_xa_2,V_A_2))|hBOOL(hAPP(V_A_2,V_xa_2))))&(![V_A_2,V_xa_2]: ((![T_a]: c_member(T_a,V_xa_2,V_A_2))|~hBOOL(hAPP(V_A_2,V_xa_2))))),
% 62.82/8.32 inference(miniscoping,[status(esa)],[f585])).
% 62.82/8.32 fof(f587,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,X1,X2)|hBOOL(hAPP(X2,X1)))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f586])).
% 62.82/8.32 fof(f588,plain,(
% 62.82/8.32 ![X0,X1,X2]: (c_member(X0,X1,X2)|~hBOOL(hAPP(X2,X1)))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f586])).
% 62.82/8.32 fof(f603,plain,(
% 62.82/8.32 ![V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a]: ((~c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)|(V_a_2=V_a_H_2&c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2))))&(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|(~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)&(~V_a_2=V_a_H_2|~c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2)))))),
% 62.82/8.32 inference(NNF_transformation,[status(esa)],[f16])).
% 62.82/8.32 fof(f604,plain,(
% 62.82/8.32 (![V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a]: (~c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)|(V_a_2=V_a_H_2&c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2)))))&(![V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a]: (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|(~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)&(~V_a_2=V_a_H_2|~c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2)))))),
% 62.82/8.32 inference(miniscoping,[status(esa)],[f603])).
% 62.82/8.32 fof(f606,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~c_member(tc_prod(tc_prod(X0,X1),tc_prod(X0,X1)),c_Product__Type_OPair(tc_prod(X0,X1),tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X2,X3),c_Product__Type_OPair(X0,X1,X4,X5)),c_Wellfounded_Olex__prod(X0,X1,X6,X7))|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X4),X6)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f604])).
% 62.82/8.32 fof(f607,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5,X6,X7]: (c_member(tc_prod(tc_prod(X0,X1),tc_prod(X0,X1)),c_Product__Type_OPair(tc_prod(X0,X1),tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X2,X3),c_Product__Type_OPair(X0,X1,X4,X5)),c_Wellfounded_Olex__prod(X0,X1,X6,X7))|~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X4),X6))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f604])).
% 62.82/8.32 fof(f628,plain,(
% 62.82/8.32 ![V_f_2,T_b,V_r_2,V_a_2,V_xa_2,T_a]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),V_r_2)|hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2),V_xa_2)=hAPP(V_f_2,V_xa_2))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 62.82/8.32 fof(f629,plain,(
% 62.82/8.32 ![V_r_2,V_a_2,V_xa_2,T_a]: (~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),V_r_2)|(![V_f_2,T_b]: hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2),V_xa_2)=hAPP(V_f_2,V_xa_2)))),
% 62.82/8.32 inference(miniscoping,[status(esa)],[f628])).
% 62.82/8.32 fof(f630,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5]: (~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|hAPP(c_Recdef_Ocut(X0,X4,X5,X3,X2),X1)=hAPP(X5,X1))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f629])).
% 62.82/8.32 fof(f1178,plain,(
% 62.82/8.32 ![V_A_2,V_a_2,T_a]: (~c_member(T_a,V_a_2,V_A_2)|c_Set_Oinsert(T_a,V_a_2,V_A_2)=V_A_2)),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f190])).
% 62.82/8.32 fof(f1179,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,X1,X2)|c_Set_Oinsert(X0,X1,X2)=X2)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f1178])).
% 62.82/8.32 fof(f1900,plain,(
% 62.82/8.32 ![V_a_2,V_D_2,V_C_2,T_a]: (~c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)|c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2)))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f429])).
% 62.82/8.32 fof(f1901,plain,(
% 62.82/8.32 ![V_D_2,V_C_2,T_a]: (~c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)|(![V_a_2]: c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2))))),
% 62.82/8.32 inference(miniscoping,[status(esa)],[f1900])).
% 62.82/8.32 fof(f1902,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X3,X1),c_Set_Oinsert(X0,X3,X2)))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f1901])).
% 62.82/8.32 fof(f1906,plain,(
% 62.82/8.32 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,c_Set_Oinsert(X0,X2,X1)))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f431])).
% 62.82/8.32 fof(f1975,plain,(
% 62.82/8.32 ![V_B_2,V_A_2,V_xa_2,T_a]: ((~c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)|(c_member(T_a,V_xa_2,V_B_2)&c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))&(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)|(~c_member(T_a,V_xa_2,V_B_2)|~c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))))),
% 62.82/8.32 inference(NNF_transformation,[status(esa)],[f458])).
% 62.82/8.32 fof(f1976,plain,(
% 62.82/8.32 (![V_B_2,V_A_2,V_xa_2,T_a]: (~c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)|(c_member(T_a,V_xa_2,V_B_2)&c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))))&(![V_B_2,V_A_2,V_xa_2,T_a]: (c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)|(~c_member(T_a,V_xa_2,V_B_2)|~c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))))),
% 62.82/8.32 inference(miniscoping,[status(esa)],[f1975])).
% 62.82/8.32 fof(f1977,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (~c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X2),X3)|c_member(X0,X1,X3))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f1976])).
% 62.82/8.32 fof(f2150,plain,(
% 62.82/8.32 ~v_x=v_y),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f526])).
% 62.82/8.32 fof(f2151,plain,(
% 62.82/8.32 ((![B_x,B_y]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|(![B_z]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))&(![B_x]: ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_x),v_L)))&(![B_x,B_y]: (B_x=B_y|(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L))))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f527])).
% 62.82/8.32 fof(f2152,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2151])).
% 62.82/8.32 fof(f2153,plain,(
% 62.82/8.32 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2151])).
% 62.82/8.32 fof(f2154,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2151])).
% 62.82/8.32 fof(f2155,plain,(
% 62.82/8.32 ((?[B_x,B_y]: (((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)))|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))|(?[B_x,B_y]: (~B_x=B_y&((((((((~B_x=v_x|~B_y=v_y)&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|B_x=v_y)|B_y=v_y))&((~B_y=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))|B_x=v_y))&((~B_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))|B_y=v_y))&(~B_y=v_x|~B_x=v_y))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)|B_y=v_y)|B_x=v_y))&((~B_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))|B_y=v_y))&((~B_y=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_x),v_L))|B_x=v_y)))))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f529])).
% 62.82/8.32 fof(f2156,plain,(
% 62.82/8.32 ![B_x,B_y]: (pd0_4(B_y,B_x)=>(((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)))|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))),
% 62.82/8.32 introduced(predicate_definition,[f2155])).
% 62.82/8.32 fof(f2157,plain,(
% 62.82/8.32 (?[B_x,B_y]: pd0_4(B_y,B_x))|(?[B_x,B_y]: (~B_x=B_y&((((((((~B_x=v_x|~B_y=v_y)&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|B_x=v_y)|B_y=v_y))&((~B_y=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))|B_x=v_y))&((~B_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))|B_y=v_y))&(~B_y=v_x|~B_x=v_y))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)|B_y=v_y)|B_x=v_y))&((~B_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))|B_y=v_y))&((~B_y=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_x),v_L))|B_x=v_y))))),
% 62.82/8.32 inference(formula_renaming,[status(thm)],[f2155,f2156])).
% 62.82/8.32 fof(f2158,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|(~sk0_93=sk0_94&((((((((~sk0_93=v_x|~sk0_94=v_y)&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|sk0_93=v_y)|sk0_94=v_y))&((~sk0_94=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L))|sk0_93=v_y))&((~sk0_93=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_94),v_L))|sk0_94=v_y))&(~sk0_94=v_x|~sk0_93=v_y))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|sk0_94=v_y)|sk0_93=v_y))&((~sk0_93=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L))|sk0_94=v_y))&((~sk0_94=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L))|sk0_93=v_y)))),
% 62.82/8.32 inference(skolemization,[status(esa)],[f2157])).
% 62.82/8.32 fof(f2159,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~sk0_93=sk0_94),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2158])).
% 62.82/8.32 fof(f2160,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~sk0_93=v_x|~sk0_94=v_y),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2158])).
% 62.82/8.32 fof(f2161,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|sk0_93=v_y|sk0_94=v_y),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2158])).
% 62.82/8.32 fof(f2162,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~sk0_94=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|sk0_93=v_y),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2158])).
% 62.82/8.32 fof(f2163,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~sk0_93=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_94),v_L)|sk0_94=v_y),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2158])).
% 62.82/8.32 fof(f2164,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~sk0_94=v_x|~sk0_93=v_y),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2158])).
% 62.82/8.32 fof(f2165,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|sk0_94=v_y|sk0_93=v_y),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2158])).
% 62.82/8.32 fof(f2166,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~sk0_93=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L)|sk0_94=v_y),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2158])).
% 62.82/8.32 fof(f2167,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~sk0_94=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|sk0_93=v_y),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2158])).
% 62.82/8.32 fof(f2193,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)))|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f2156])).
% 62.82/8.32 fof(f2194,plain,(
% 62.82/8.32 ![B_x,B_y]: (pd0_5(B_y,B_x)=>((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))))),
% 62.82/8.32 introduced(predicate_definition,[f2193])).
% 62.82/8.32 fof(f2195,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)))|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))),
% 62.82/8.32 inference(formula_renaming,[status(thm)],[f2193,f2194])).
% 62.82/8.32 fof(f2196,plain,(
% 62.82/8.32 ![B_y,B_z]: (pd0_6(B_z,B_y)=>((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L))))),
% 62.82/8.32 introduced(predicate_definition,[f2195])).
% 62.82/8.32 fof(f2197,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (pd0_6(B_z,B_y)|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))),
% 62.82/8.32 inference(formula_renaming,[status(thm)],[f2195,f2196])).
% 62.82/8.32 fof(f2198,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&((?[B_z]: pd0_6(B_z,B_y))|((?[B_z]: B_z=v_y)&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))))))),
% 62.82/8.32 inference(miniscoping,[status(esa)],[f2197])).
% 62.82/8.32 fof(f2199,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(pd0_6(sk0_97(B_y,B_x),B_y)|(sk0_98(B_y,B_x)=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))))))),
% 62.82/8.32 inference(skolemization,[status(esa)],[f2198])).
% 62.82/8.32 fof(f2200,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|X1=v_y)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2199])).
% 62.82/8.32 fof(f2201,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2199])).
% 62.82/8.32 fof(f2204,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|pd0_6(sk0_97(X0,X1),X0)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2199])).
% 62.82/8.32 fof(f2205,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_5(B_y,B_x)|((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f2194])).
% 62.82/8.32 fof(f2206,plain,(
% 62.82/8.32 ![B_x,B_y]: (pd0_7(B_y,B_x)=>(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))))))),
% 62.82/8.32 introduced(predicate_definition,[f2205])).
% 62.82/8.32 fof(f2207,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_5(B_y,B_x)|(pd0_7(B_y,B_x)|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))))),
% 62.82/8.32 inference(formula_renaming,[status(thm)],[f2205,f2206])).
% 62.82/8.32 fof(f2208,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_5(B_y,B_x)|(pd0_7(B_y,B_x)|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(B_y,B_x)),v_L)&~sk0_99(B_y,B_x)=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,sk0_99(B_y,B_x)),v_L)))))),
% 62.82/8.32 inference(skolemization,[status(esa)],[f2207])).
% 62.82/8.32 fof(f2209,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|X0=v_y)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2208])).
% 62.82/8.32 fof(f2210,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2208])).
% 62.82/8.32 fof(f2211,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|~X1=v_y)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2208])).
% 62.82/8.32 fof(f2212,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(X0,X1)),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2208])).
% 62.82/8.32 fof(f2213,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|~sk0_99(X0,X1)=v_y)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2208])).
% 62.82/8.32 fof(f2214,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_99(X0,X1)),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2208])).
% 62.82/8.32 fof(f2215,plain,(
% 62.82/8.32 ![B_y,B_z]: (~pd0_6(B_z,B_y)|((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L))))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f2196])).
% 62.82/8.32 fof(f2216,plain,(
% 62.82/8.32 ![B_y,B_z]: (pd0_8(B_z,B_y)=>(B_y=v_x&B_z=v_y))),
% 62.82/8.32 introduced(predicate_definition,[f2215])).
% 62.82/8.32 fof(f2217,plain,(
% 62.82/8.32 ![B_y,B_z]: (~pd0_6(B_z,B_y)|(pd0_8(B_z,B_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L))))),
% 62.82/8.32 inference(formula_renaming,[status(thm)],[f2215,f2216])).
% 62.82/8.32 fof(f2218,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_6(X0,X1)|pd0_8(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2217])).
% 62.82/8.32 fof(f2220,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_6(X0,X1)|pd0_8(X0,X1)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2217])).
% 62.82/8.32 fof(f2221,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))))))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f2206])).
% 62.82/8.32 fof(f2222,plain,(
% 62.82/8.32 ![B_x,B_y,B_z]: (pd0_9(B_z,B_y,B_x)=>(((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))),
% 62.82/8.32 introduced(predicate_definition,[f2221])).
% 62.82/8.32 fof(f2223,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: (pd0_9(B_z,B_y,B_x)|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))))))),
% 62.82/8.32 inference(formula_renaming,[status(thm)],[f2221,f2222])).
% 62.82/8.32 fof(f2224,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&((?[B_z]: pd0_9(B_z,B_y,B_x))|(((?[B_z]: B_z=v_y)&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))),
% 62.82/8.32 inference(miniscoping,[status(esa)],[f2223])).
% 62.82/8.32 fof(f2225,plain,(
% 62.82/8.32 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(pd0_9(sk0_100(B_y,B_x),B_y,B_x)|((sk0_101(B_y,B_x)=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))),
% 62.82/8.32 inference(skolemization,[status(esa)],[f2224])).
% 62.82/8.32 fof(f2226,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2225])).
% 62.82/8.32 fof(f2227,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_7(X0,X1)|~X1=v_y)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2225])).
% 62.82/8.32 fof(f2228,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_7(X0,X1)|~X0=v_y)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2225])).
% 62.82/8.32 fof(f2230,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_7(X0,X1)|pd0_9(sk0_100(X0,X1),X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2225])).
% 62.82/8.32 fof(f2232,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_7(X0,X1)|pd0_9(sk0_100(X0,X1),X0,X1)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2225])).
% 62.82/8.32 fof(f2233,plain,(
% 62.82/8.32 ![B_y,B_z]: (~pd0_8(B_z,B_y)|(B_y=v_x&B_z=v_y))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f2216])).
% 62.82/8.32 fof(f2234,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_8(X0,X1)|X1=v_x)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2233])).
% 62.82/8.32 fof(f2236,plain,(
% 62.82/8.32 ![B_x,B_y,B_z]: (~pd0_9(B_z,B_y,B_x)|(((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f2222])).
% 62.82/8.32 fof(f2237,plain,(
% 62.82/8.32 ![B_x,B_y,B_z]: (pd0_10(B_z,B_y,B_x)=>((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))),
% 62.82/8.32 introduced(predicate_definition,[f2236])).
% 62.82/8.32 fof(f2238,plain,(
% 62.82/8.32 ![B_x,B_y,B_z]: (~pd0_9(B_z,B_y,B_x)|(pd0_10(B_z,B_y,B_x)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))),
% 62.82/8.32 inference(formula_renaming,[status(thm)],[f2236,f2237])).
% 62.82/8.32 fof(f2239,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~pd0_9(X0,X1,X2)|pd0_10(X0,X1,X2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2238])).
% 62.82/8.32 fof(f2241,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~pd0_9(X0,X1,X2)|pd0_10(X0,X1,X2)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2238])).
% 62.82/8.32 fof(f2242,plain,(
% 62.82/8.32 ![B_x,B_y,B_z]: (~pd0_10(B_z,B_y,B_x)|((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))),
% 62.82/8.32 inference(pre_NNF_transformation,[status(esa)],[f2237])).
% 62.82/8.32 fof(f2243,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~pd0_10(X0,X1,X2)|X1=v_x)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2242])).
% 62.82/8.32 fof(f2244,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~pd0_10(X0,X1,X2)|X0=v_y)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2242])).
% 62.82/8.32 fof(f2245,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~pd0_10(X0,X1,X2)|~X2=v_x)),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2242])).
% 62.82/8.32 fof(f2246,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~pd0_10(X0,X1,X2)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L))),
% 62.82/8.32 inference(cnf_transformation,[status(esa)],[f2242])).
% 62.82/8.32 fof(f2247,plain,(
% 62.82/8.32 spl0_0 <=> pd0_4(sk0_92,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2248,plain,(
% 62.82/8.32 pd0_4(sk0_92,sk0_91)|~spl0_0),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2247])).
% 62.82/8.32 fof(f2250,plain,(
% 62.82/8.32 spl0_1 <=> sk0_93=sk0_94),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2252,plain,(
% 62.82/8.32 ~sk0_93=sk0_94|spl0_1),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2250])).
% 62.82/8.32 fof(f2253,plain,(
% 62.82/8.32 spl0_0|~spl0_1),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2159,f2247,f2250])).
% 62.82/8.32 fof(f2254,plain,(
% 62.82/8.32 spl0_2 <=> sk0_93=v_x),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2255,plain,(
% 62.82/8.32 sk0_93=v_x|~spl0_2),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2254])).
% 62.82/8.32 fof(f2257,plain,(
% 62.82/8.32 spl0_3 <=> sk0_94=v_y),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2258,plain,(
% 62.82/8.32 sk0_94=v_y|~spl0_3),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2257])).
% 62.82/8.32 fof(f2260,plain,(
% 62.82/8.32 spl0_0|~spl0_2|~spl0_3),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2160,f2247,f2254,f2257])).
% 62.82/8.32 fof(f2261,plain,(
% 62.82/8.32 spl0_4 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2264,plain,(
% 62.82/8.32 spl0_5 <=> sk0_93=v_y),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2265,plain,(
% 62.82/8.32 sk0_93=v_y|~spl0_5),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2264])).
% 62.82/8.32 fof(f2267,plain,(
% 62.82/8.32 spl0_0|~spl0_4|spl0_5|spl0_3),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2161,f2247,f2261,f2264,f2257])).
% 62.82/8.32 fof(f2268,plain,(
% 62.82/8.32 spl0_6 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2270,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|spl0_6),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2268])).
% 62.82/8.32 fof(f2271,plain,(
% 62.82/8.32 spl0_0|~spl0_3|~spl0_6|spl0_5),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2162,f2247,f2257,f2268,f2264])).
% 62.82/8.32 fof(f2272,plain,(
% 62.82/8.32 spl0_7 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_94),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2274,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_94),v_L)|spl0_7),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2272])).
% 62.82/8.32 fof(f2275,plain,(
% 62.82/8.32 spl0_0|~spl0_5|~spl0_7|spl0_3),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2163,f2247,f2264,f2272,f2257])).
% 62.82/8.32 fof(f2276,plain,(
% 62.82/8.32 spl0_8 <=> sk0_94=v_x),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2279,plain,(
% 62.82/8.32 spl0_0|~spl0_8|~spl0_5),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2164,f2247,f2276,f2264])).
% 62.82/8.32 fof(f2280,plain,(
% 62.82/8.32 spl0_9 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2282,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|spl0_9),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2280])).
% 62.82/8.32 fof(f2283,plain,(
% 62.82/8.32 spl0_0|~spl0_9|spl0_3|spl0_5),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2165,f2247,f2280,f2257,f2264])).
% 62.82/8.32 fof(f2284,plain,(
% 62.82/8.32 spl0_10 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2287,plain,(
% 62.82/8.32 spl0_0|~spl0_5|~spl0_10|spl0_3),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2166,f2247,f2264,f2284,f2257])).
% 62.82/8.32 fof(f2288,plain,(
% 62.82/8.32 spl0_11 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2289,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|~spl0_11),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2288])).
% 62.82/8.32 fof(f2291,plain,(
% 62.82/8.32 spl0_0|~spl0_3|~spl0_11|spl0_5),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2167,f2247,f2257,f2288,f2264])).
% 62.82/8.32 fof(f2298,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),c_Arrow__Order__Mirabelle_Omktop(X2,X0)))),
% 62.82/8.32 inference(destructive_equality_resolution,[status(esa)],[f552])).
% 62.82/8.32 fof(f2383,plain,(
% 62.82/8.32 ![X0]: (~pd0_5(X0,v_y)|pd0_7(X0,v_y))),
% 62.82/8.32 inference(destructive_equality_resolution,[status(esa)],[f2211])).
% 62.82/8.32 fof(f2385,plain,(
% 62.82/8.32 ![X0]: (~pd0_7(X0,v_y))),
% 62.82/8.32 inference(destructive_equality_resolution,[status(esa)],[f2227])).
% 62.82/8.32 fof(f2386,plain,(
% 62.82/8.32 ![X0]: (~pd0_7(v_y,X0))),
% 62.82/8.32 inference(destructive_equality_resolution,[status(esa)],[f2228])).
% 62.82/8.32 fof(f2389,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_10(X0,X1,v_x))),
% 62.82/8.32 inference(destructive_equality_resolution,[status(esa)],[f2245])).
% 62.82/8.32 fof(f2390,plain,(
% 62.82/8.32 ![X0]: (~pd0_5(X0,v_y))),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2383,f2385])).
% 62.82/8.32 fof(f2391,plain,(
% 62.82/8.32 spl0_12 <=> ~pd0_4(X0,v_y)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2394,plain,(
% 62.82/8.32 spl0_13 <=> v_y=v_y),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2397,plain,(
% 62.82/8.32 ![X0]: (~pd0_4(X0,v_y)|v_y=v_y)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2390,f2200])).
% 62.82/8.32 fof(f2398,plain,(
% 62.82/8.32 spl0_12|spl0_13),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2397,f2391,f2394])).
% 62.82/8.32 fof(f2401,plain,(
% 62.82/8.32 ![X0]: (~pd0_7(X0,X0))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2226,f2153])).
% 62.82/8.32 fof(f2450,plain,(
% 62.82/8.32 spl0_22 <=> v_x=v_y),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2451,plain,(
% 62.82/8.32 v_x=v_y|~spl0_22),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2450])).
% 62.82/8.32 fof(f2470,plain,(
% 62.82/8.32 spl0_23 <=> pd0_5(sk0_92,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2471,plain,(
% 62.82/8.32 pd0_5(sk0_92,sk0_91)|~spl0_23),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2470])).
% 62.82/8.32 fof(f2473,plain,(
% 62.82/8.32 spl0_24 <=> sk0_91=v_x),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2474,plain,(
% 62.82/8.32 sk0_91=v_x|~spl0_24),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2473])).
% 62.82/8.32 fof(f2479,plain,(
% 62.82/8.32 spl0_25 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2480,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_25),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2479])).
% 62.82/8.32 fof(f2481,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|spl0_25),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2479])).
% 62.82/8.32 fof(f2482,plain,(
% 62.82/8.32 pd0_5(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f2201,f2248])).
% 62.82/8.32 fof(f2483,plain,(
% 62.82/8.32 spl0_23|spl0_25|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2482,f2470,f2479,f2247])).
% 62.82/8.32 fof(f2484,plain,(
% 62.82/8.32 spl0_26 <=> sk0_91=v_y),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2485,plain,(
% 62.82/8.32 sk0_91=v_y|~spl0_26),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2484])).
% 62.82/8.32 fof(f2487,plain,(
% 62.82/8.32 pd0_5(sk0_92,sk0_91)|sk0_91=v_y|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f2200,f2248])).
% 62.82/8.32 fof(f2488,plain,(
% 62.82/8.32 spl0_23|spl0_26|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2487,f2470,f2484,f2247])).
% 62.82/8.32 fof(f2517,plain,(
% 62.82/8.32 ~v_y=sk0_94|~spl0_5|spl0_1),
% 62.82/8.32 inference(backward_demodulation,[status(thm)],[f2265,f2252])).
% 62.82/8.32 fof(f2521,plain,(
% 62.82/8.32 ~v_y=v_y|~spl0_3|~spl0_5|spl0_1),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2258,f2517])).
% 62.82/8.32 fof(f2522,plain,(
% 62.82/8.32 $false|~spl0_3|~spl0_5|spl0_1),
% 62.82/8.32 inference(trivial_equality_resolution,[status(esa)],[f2521])).
% 62.82/8.32 fof(f2523,plain,(
% 62.82/8.32 ~spl0_3|~spl0_5|spl0_1),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f2522])).
% 62.82/8.32 fof(f2527,plain,(
% 62.82/8.32 pd0_5(sk0_92,v_x)|~spl0_24|~spl0_23),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2474,f2471])).
% 62.82/8.32 fof(f2528,plain,(
% 62.82/8.32 spl0_27 <=> pd0_7(sk0_92,v_x)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2529,plain,(
% 62.82/8.32 pd0_7(sk0_92,v_x)|~spl0_27),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2528])).
% 62.82/8.32 fof(f2531,plain,(
% 62.82/8.32 spl0_28 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2532,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_28),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2531])).
% 62.82/8.32 fof(f2534,plain,(
% 62.82/8.32 pd0_7(sk0_92,v_x)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_24|~spl0_23),
% 62.82/8.32 inference(resolution,[status(thm)],[f2527,f2210])).
% 62.82/8.32 fof(f2535,plain,(
% 62.82/8.32 spl0_27|spl0_28|~spl0_24|~spl0_23),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2534,f2528,f2531,f2473,f2470])).
% 62.82/8.32 fof(f2536,plain,(
% 62.82/8.32 $false|~spl0_28),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2532,f2153])).
% 62.82/8.32 fof(f2537,plain,(
% 62.82/8.32 ~spl0_28),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f2536])).
% 62.82/8.32 fof(f2541,plain,(
% 62.82/8.32 spl0_29 <=> pd0_7(sk0_92,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2542,plain,(
% 62.82/8.32 pd0_7(sk0_92,sk0_91)|~spl0_29),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2541])).
% 62.82/8.32 fof(f2544,plain,(
% 62.82/8.32 spl0_30 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2545,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_30),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2544])).
% 62.82/8.32 fof(f2546,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|spl0_30),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2544])).
% 62.82/8.32 fof(f2547,plain,(
% 62.82/8.32 pd0_7(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_23),
% 62.82/8.32 inference(resolution,[status(thm)],[f2471,f2210])).
% 62.82/8.32 fof(f2548,plain,(
% 62.82/8.32 spl0_29|spl0_30|~spl0_23),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2547,f2541,f2544,f2470])).
% 62.82/8.32 fof(f2555,plain,(
% 62.82/8.32 spl0_31 <=> sk0_92=v_y),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2556,plain,(
% 62.82/8.32 sk0_92=v_y|~spl0_31),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2555])).
% 62.82/8.32 fof(f2557,plain,(
% 62.82/8.32 ~sk0_92=v_y|spl0_31),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2555])).
% 62.82/8.32 fof(f2558,plain,(
% 62.82/8.32 pd0_7(sk0_92,sk0_91)|sk0_92=v_y|~spl0_23),
% 62.82/8.32 inference(resolution,[status(thm)],[f2209,f2471])).
% 62.82/8.32 fof(f2559,plain,(
% 62.82/8.32 spl0_29|spl0_31|~spl0_23),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2558,f2541,f2555,f2470])).
% 62.82/8.32 fof(f2568,plain,(
% 62.82/8.32 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2152,f2480])).
% 62.82/8.32 fof(f2569,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)|~pd0_7(X2,X1))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2152,f2226])).
% 62.82/8.32 fof(f2587,plain,(
% 62.82/8.32 pd0_7(v_y,sk0_91)|~spl0_31|~spl0_29),
% 62.82/8.32 inference(backward_demodulation,[status(thm)],[f2556,f2542])).
% 62.82/8.32 fof(f2588,plain,(
% 62.82/8.32 pd0_7(v_y,v_x)|~spl0_31|~spl0_27),
% 62.82/8.32 inference(backward_demodulation,[status(thm)],[f2556,f2529])).
% 62.82/8.32 fof(f2606,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|pd0_10(sk0_100(X0,X1),X0,X1)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_100(X0,X1)),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2230,f2241])).
% 62.82/8.32 fof(f2607,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|pd0_10(sk0_100(X0,X1),X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_100(X0,X1)),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2230,f2239])).
% 62.82/8.32 fof(f2611,plain,(
% 62.82/8.32 spl0_33 <=> pd0_10(sk0_100(v_y,sk0_91),v_y,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2612,plain,(
% 62.82/8.32 pd0_10(sk0_100(v_y,sk0_91),v_y,sk0_91)|~spl0_33),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2611])).
% 62.82/8.32 fof(f2627,plain,(
% 62.82/8.32 sk0_93=sk0_94|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|spl0_9),
% 62.82/8.32 inference(resolution,[status(thm)],[f2154,f2282])).
% 62.82/8.32 fof(f2628,plain,(
% 62.82/8.32 spl0_1|spl0_4|spl0_9),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2627,f2250,f2261,f2280])).
% 62.82/8.32 fof(f2631,plain,(
% 62.82/8.32 v_x=sk0_93|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|spl0_6),
% 62.82/8.32 inference(resolution,[status(thm)],[f2154,f2270])).
% 62.82/8.32 fof(f2632,plain,(
% 62.82/8.32 spl0_2|spl0_11|spl0_6),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2631,f2254,f2288,f2268])).
% 62.82/8.32 fof(f2635,plain,(
% 62.82/8.32 sk0_94=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L)|spl0_7),
% 62.82/8.32 inference(resolution,[status(thm)],[f2154,f2274])).
% 62.82/8.32 fof(f2636,plain,(
% 62.82/8.32 spl0_8|spl0_10|spl0_7),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2635,f2276,f2284,f2272])).
% 62.82/8.32 fof(f2638,plain,(
% 62.82/8.32 ![X0,X1]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~pd0_7(X1,X0)|pd0_9(sk0_100(X1,X0),X1,X0))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2154,f2232])).
% 62.82/8.32 fof(f2639,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2154,f2152])).
% 62.82/8.32 fof(f2640,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2154,f1179])).
% 62.82/8.32 fof(f2642,plain,(
% 62.82/8.32 $false|~spl0_31|~spl0_29),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2587,f2386])).
% 62.82/8.32 fof(f2643,plain,(
% 62.82/8.32 ~spl0_31|~spl0_29),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f2642])).
% 62.82/8.32 fof(f2645,plain,(
% 62.82/8.32 ![X0,X1]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~pd0_7(X1,X0)|pd0_9(sk0_100(X1,X0),X1,X0))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2640,f2232])).
% 62.82/8.32 fof(f2646,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2640,f2152])).
% 62.82/8.32 fof(f2647,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2640,f1179])).
% 62.82/8.32 fof(f2664,plain,(
% 62.82/8.32 pd0_4(sk0_92,v_y)|~spl0_26|~spl0_0),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2485,f2248])).
% 62.82/8.32 fof(f2665,plain,(
% 62.82/8.32 spl0_36 <=> pd0_8(sk0_97(sk0_92,v_y),sk0_92)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2666,plain,(
% 62.82/8.32 pd0_8(sk0_97(sk0_92,v_y),sk0_92)|~spl0_36),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2665])).
% 62.82/8.32 fof(f2668,plain,(
% 62.82/8.32 spl0_37 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,v_y)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2669,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,v_y)),v_L)|~spl0_37),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2668])).
% 62.82/8.32 fof(f2671,plain,(
% 62.82/8.32 spl0_38 <=> pd0_5(sk0_92,v_y)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2672,plain,(
% 62.82/8.32 pd0_5(sk0_92,v_y)|~spl0_38),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2671])).
% 62.82/8.32 fof(f2679,plain,(
% 62.82/8.32 spl0_40 <=> pd0_6(sk0_97(sk0_92,v_y),sk0_92)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2680,plain,(
% 62.82/8.32 pd0_6(sk0_97(sk0_92,v_y),sk0_92)|~spl0_40),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2679])).
% 62.82/8.32 fof(f2682,plain,(
% 62.82/8.32 spl0_41 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2683,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_41),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2682])).
% 62.82/8.32 fof(f2684,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|spl0_41),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2682])).
% 62.82/8.32 fof(f2685,plain,(
% 62.82/8.32 pd0_5(sk0_92,v_y)|pd0_6(sk0_97(sk0_92,v_y),sk0_92)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_26|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f2664,f2204])).
% 62.82/8.32 fof(f2686,plain,(
% 62.82/8.32 spl0_38|spl0_40|spl0_41|~spl0_26|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2685,f2671,f2679,f2682,f2484,f2247])).
% 62.82/8.32 fof(f2689,plain,(
% 62.82/8.32 pd0_5(sk0_92,v_y)|v_y=v_y|~spl0_26|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f2664,f2200])).
% 62.82/8.32 fof(f2690,plain,(
% 62.82/8.32 spl0_38|spl0_13|~spl0_26|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2689,f2671,f2394,f2484,f2247])).
% 62.82/8.32 fof(f2691,plain,(
% 62.82/8.32 pd0_5(sk0_92,v_y)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_26|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f2664,f2201])).
% 62.82/8.32 fof(f2692,plain,(
% 62.82/8.32 spl0_38|spl0_25|~spl0_26|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2691,f2671,f2479,f2484,f2247])).
% 62.82/8.32 fof(f2693,plain,(
% 62.82/8.32 $false|~spl0_38),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2672,f2390])).
% 62.82/8.32 fof(f2694,plain,(
% 62.82/8.32 ~spl0_38),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f2693])).
% 62.82/8.32 fof(f2695,plain,(
% 62.82/8.32 v_y=v_x|~spl0_26|~spl0_24),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2485,f2474])).
% 62.82/8.32 fof(f2696,plain,(
% 62.82/8.32 $false|~spl0_26|~spl0_24),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2695,f2150])).
% 62.82/8.32 fof(f2697,plain,(
% 62.82/8.32 ~spl0_26|~spl0_24),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f2696])).
% 62.82/8.32 fof(f2699,plain,(
% 62.82/8.32 v_x=v_y|~spl0_2|~spl0_5),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2255,f2265])).
% 62.82/8.32 fof(f2700,plain,(
% 62.82/8.32 $false|~spl0_2|~spl0_5),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2699,f2150])).
% 62.82/8.32 fof(f2701,plain,(
% 62.82/8.32 ~spl0_2|~spl0_5),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f2700])).
% 62.82/8.32 fof(f2705,plain,(
% 62.82/8.32 spl0_42 <=> pd0_10(sk0_100(sk0_92,v_x),sk0_92,v_x)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2706,plain,(
% 62.82/8.32 pd0_10(sk0_100(sk0_92,v_x),sk0_92,v_x)|~spl0_42),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2705])).
% 62.82/8.32 fof(f2708,plain,(
% 62.82/8.32 spl0_43 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_100(sk0_92,v_x)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2710,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_100(sk0_92,v_x)),v_L)|spl0_43),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2708])).
% 62.82/8.32 fof(f2717,plain,(
% 62.82/8.32 spl0_45 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,v_x)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2718,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,v_x)),v_L)|~spl0_45),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2717])).
% 62.82/8.32 fof(f2722,plain,(
% 62.82/8.32 spl0_46 <=> v_x=v_x),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2725,plain,(
% 62.82/8.32 spl0_47 <=> pd0_9(sk0_100(sk0_92,v_x),sk0_92,v_x)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2726,plain,(
% 62.82/8.32 pd0_9(sk0_100(sk0_92,v_x),sk0_92,v_x)|~spl0_47),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2725])).
% 62.82/8.32 fof(f2728,plain,(
% 62.82/8.32 v_x=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|pd0_9(sk0_100(sk0_92,v_x),sk0_92,v_x)|~spl0_27),
% 62.82/8.32 inference(resolution,[status(thm)],[f2529,f2638])).
% 62.82/8.32 fof(f2729,plain,(
% 62.82/8.32 spl0_46|spl0_28|spl0_47|~spl0_27),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2728,f2722,f2531,f2725,f2528])).
% 62.82/8.32 fof(f2732,plain,(
% 62.82/8.32 $false|~spl0_42),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2706,f2389])).
% 62.82/8.32 fof(f2733,plain,(
% 62.82/8.32 ~spl0_42),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f2732])).
% 62.82/8.32 fof(f2749,plain,(
% 62.82/8.32 spl0_48 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,v_y)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2750,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,v_y)),v_L)|~spl0_48),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2749])).
% 62.82/8.32 fof(f2751,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,v_y)),v_L)|spl0_48),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2749])).
% 62.82/8.32 fof(f2752,plain,(
% 62.82/8.32 pd0_8(sk0_97(sk0_92,v_y),sk0_92)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,v_y)),v_L)|~spl0_40),
% 62.82/8.32 inference(resolution,[status(thm)],[f2680,f2220])).
% 62.82/8.32 fof(f2753,plain,(
% 62.82/8.32 spl0_36|~spl0_48|~spl0_40),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2752,f2665,f2749,f2679])).
% 62.82/8.32 fof(f2754,plain,(
% 62.82/8.32 pd0_8(sk0_97(sk0_92,v_y),sk0_92)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,v_y)),v_L)|~spl0_40),
% 62.82/8.32 inference(resolution,[status(thm)],[f2680,f2218])).
% 62.82/8.32 fof(f2755,plain,(
% 62.82/8.32 spl0_36|spl0_37|~spl0_40),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2754,f2665,f2668,f2679])).
% 62.82/8.32 fof(f2757,plain,(
% 62.82/8.32 sk0_92=v_x|~spl0_36),
% 62.82/8.32 inference(resolution,[status(thm)],[f2666,f2234])).
% 62.82/8.32 fof(f2757,plain,(
% 62.82/8.32 sk0_92=v_x|~spl0_36),
% 62.82/8.32 inference(resolution,[status(thm)],[f2666,f2234])).
% 62.82/8.32 fof(f2761,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_92),v_L)|~spl0_41|~spl0_25),
% 62.82/8.32 inference(resolution,[status(thm)],[f2683,f2568])).
% 62.82/8.32 fof(f2762,plain,(
% 62.82/8.32 $false|~spl0_41|~spl0_25),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2761,f2153])).
% 62.82/8.32 fof(f2763,plain,(
% 62.82/8.32 ~spl0_41|~spl0_25),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f2762])).
% 62.82/8.32 fof(f2765,plain,(
% 62.82/8.32 ![X0,X1,X2]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~pd0_7(X2,X1)|pd0_9(sk0_100(X2,X1),X2,X1))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2639,f2232])).
% 62.82/8.32 fof(f2766,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2639,f2152])).
% 62.82/8.32 fof(f2767,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2639,f1179])).
% 62.82/8.32 fof(f2769,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~pd0_7(X2,X1)|pd0_9(sk0_100(X2,X1),X2,X1))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2646,f2232])).
% 62.82/8.32 fof(f2770,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2646,f2152])).
% 62.82/8.32 fof(f2772,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2646,f1179])).
% 62.82/8.32 fof(f2774,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~pd0_7(X2,X0)|pd0_9(sk0_100(X2,X0),X2,X0))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2767,f2232])).
% 62.82/8.32 fof(f2775,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2767,f2152])).
% 62.82/8.32 fof(f2777,plain,(
% 62.82/8.32 spl0_49 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2780,plain,(
% 62.82/8.32 spl0_50 <=> X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2781,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)=v_L|~spl0_50)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2780])).
% 62.82/8.32 fof(f2783,plain,(
% 62.82/8.32 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,v_L)|X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)=v_L)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f2647,f1906])).
% 62.82/8.32 fof(f2784,plain,(
% 62.82/8.32 spl0_49|spl0_50),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2783,f2777,f2780])).
% 62.82/8.32 fof(f2785,plain,(
% 62.82/8.32 spl0_51 <=> X0=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2788,plain,(
% 62.82/8.32 spl0_52 <=> v_L=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2790,plain,(
% 62.82/8.32 ~v_L=v_L|spl0_52),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2788])).
% 62.82/8.32 fof(f2791,plain,(
% 62.82/8.32 ![X0]: (X0=X0|~v_L=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)=v_L)),
% 62.82/8.32 inference(equality_factoring,[status(esa)],[f2647])).
% 62.82/8.32 fof(f2792,plain,(
% 62.82/8.32 spl0_51|~spl0_52),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2791,f2785,f2788])).
% 62.82/8.32 fof(f2793,plain,(
% 62.82/8.32 $false|spl0_52),
% 62.82/8.32 inference(trivial_equality_resolution,[status(esa)],[f2790])).
% 62.82/8.32 fof(f2794,plain,(
% 62.82/8.32 spl0_52),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f2793])).
% 62.82/8.32 fof(f2796,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~pd0_7(X3,X2)|pd0_9(sk0_100(X3,X2),X3,X2))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2766,f2232])).
% 62.82/8.32 fof(f2797,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X0),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2766,f2152])).
% 62.82/8.32 fof(f2799,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2766,f1179])).
% 62.82/8.32 fof(f2801,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~pd0_7(X3,X2)|pd0_9(sk0_100(X3,X2),X3,X2))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2770,f2232])).
% 62.82/8.32 fof(f2802,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2770,f2152])).
% 62.82/8.32 fof(f2818,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)|~pd0_7(X3,X2)|pd0_9(sk0_100(X3,X2),X3,X2))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2775,f2232])).
% 62.82/8.32 fof(f2821,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2775,f2153])).
% 62.82/8.32 fof(f2832,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X1=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2821,f2639])).
% 62.82/8.32 fof(f2833,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X2=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2821,f2640])).
% 62.82/8.32 fof(f2834,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2821,f2154])).
% 62.82/8.32 fof(f2842,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)=v_L|X0=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2772,f2766])).
% 62.82/8.32 fof(f2846,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)=v_L|X2=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2772,f2640])).
% 62.82/8.32 fof(f2847,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)=v_L|X0=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2772,f2154])).
% 62.82/8.32 fof(f2850,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,X0)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),X0)|X2=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)=v_L)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f2647,f1977])).
% 62.82/8.32 fof(f2872,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_36|~spl0_25),
% 62.82/8.32 inference(backward_demodulation,[status(thm)],[f2757,f2480])).
% 62.82/8.32 fof(f2873,plain,(
% 62.82/8.32 spl0_28|~spl0_36|~spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2872,f2531,f2665,f2479])).
% 62.82/8.32 fof(f2966,plain,(
% 62.82/8.32 spl0_54 <=> sk0_92=v_x),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2967,plain,(
% 62.82/8.32 sk0_92=v_x|~spl0_54),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2966])).
% 62.82/8.32 fof(f2968,plain,(
% 62.82/8.32 ~sk0_92=v_x|spl0_54),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2966])).
% 62.82/8.32 fof(f2969,plain,(
% 62.82/8.32 spl0_55 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2970,plain,(
% 62.82/8.32 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)=v_L|~spl0_55)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2969])).
% 62.82/8.32 fof(f2972,plain,(
% 62.82/8.32 ![X0]: (sk0_92=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)=v_L|spl0_41)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2684,f2767])).
% 62.82/8.32 fof(f2973,plain,(
% 62.82/8.32 spl0_54|spl0_55|spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2972,f2966,f2969,f2682])).
% 62.82/8.32 fof(f2975,plain,(
% 62.82/8.32 ![X0]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|spl0_41)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2684,f2639])).
% 62.82/8.32 fof(f2976,plain,(
% 62.82/8.32 spl0_56 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f2977,plain,(
% 62.82/8.32 c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)=v_L|~spl0_56),
% 62.82/8.32 inference(component_clause,[status(thm)],[f2976])).
% 62.82/8.32 fof(f2979,plain,(
% 62.82/8.32 sk0_92=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)=v_L|spl0_41),
% 62.82/8.32 inference(resolution,[status(thm)],[f2684,f2640])).
% 62.82/8.32 fof(f2980,plain,(
% 62.82/8.32 spl0_54|spl0_56|spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2979,f2966,f2976,f2682])).
% 62.82/8.32 fof(f2981,plain,(
% 62.82/8.32 v_x=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|spl0_41),
% 62.82/8.32 inference(resolution,[status(thm)],[f2684,f2154])).
% 62.82/8.32 fof(f2982,plain,(
% 62.82/8.32 spl0_54|spl0_25|spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2981,f2966,f2479,f2682])).
% 62.82/8.32 fof(f3004,plain,(
% 62.82/8.32 spl0_58 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3012,plain,(
% 62.82/8.32 spl0_59 <=> X0=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3015,plain,(
% 62.82/8.32 ![X0]: (X0=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|sk0_92=v_x|spl0_41)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2834,f2684])).
% 62.82/8.32 fof(f3016,plain,(
% 62.82/8.32 spl0_59|spl0_54|spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3015,f3012,f2966,f2682])).
% 62.82/8.32 fof(f3017,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X1=v_x|~pd0_7(X2,X1)|pd0_9(sk0_100(X2,X1),X2,X1))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2834,f2232])).
% 62.82/8.32 fof(f3021,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X1=X2|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2834,f2152])).
% 62.82/8.32 fof(f3023,plain,(
% 62.82/8.32 spl0_60 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3026,plain,(
% 62.82/8.32 ![X0,X1]: (sk0_92=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)=v_L|spl0_41)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2799,f2684])).
% 62.82/8.32 fof(f3027,plain,(
% 62.82/8.32 spl0_54|spl0_60|spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3026,f2966,f3023,f2682])).
% 62.82/8.32 fof(f3028,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|~pd0_7(X3,X0)|pd0_9(sk0_100(X3,X0),X3,X0))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2799,f2232])).
% 62.82/8.32 fof(f3032,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X0),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2799,f2152])).
% 62.82/8.32 fof(f3034,plain,(
% 62.82/8.32 spl0_61 <=> X0=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3037,plain,(
% 62.82/8.32 ![X0,X1]: (X0=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|sk0_92=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|spl0_41)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2832,f2684])).
% 62.82/8.32 fof(f3038,plain,(
% 62.82/8.32 spl0_61|spl0_54|spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3037,f3034,f2966,f2682])).
% 62.82/8.32 fof(f3039,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X1=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)|~pd0_7(X3,X1)|pd0_9(sk0_100(X3,X1),X3,X1))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2832,f2232])).
% 62.82/8.32 fof(f3046,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X1=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~pd0_7(X3,X2)|pd0_9(sk0_100(X3,X2),X3,X2))),
% 62.82/8.32 inference(resolution,[status(thm)],[f3021,f2232])).
% 62.82/8.32 fof(f3053,plain,(
% 62.82/8.32 ![X0,X1,X2]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,v_L))|X1=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2850,f1906])).
% 62.82/8.32 fof(f3054,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,v_L))=c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f3053,f1179])).
% 62.82/8.32 fof(f3060,plain,(
% 62.82/8.32 spl0_63 <=> X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)=v_L|X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3063,plain,(
% 62.82/8.32 spl0_64 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,v_L)=c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3066,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,v_L)=c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,v_L)|X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)=v_L)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f3054,f3054])).
% 62.82/8.32 fof(f3067,plain,(
% 62.82/8.32 spl0_63|spl0_64),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3066,f3060,f3063])).
% 62.82/8.32 fof(f3070,plain,(
% 62.82/8.32 spl0_65 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3073,plain,(
% 62.82/8.32 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))|X1=X2|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f3054,f1906])).
% 62.82/8.32 fof(f3074,plain,(
% 62.82/8.32 spl0_65|spl0_50),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3073,f3070,f2780])).
% 62.82/8.32 fof(f3076,plain,(
% 62.82/8.32 spl0_66 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)=v_L|X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3079,plain,(
% 62.82/8.32 ![X0]: (sk0_92=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)=v_L|X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2833,f2480])).
% 62.82/8.32 fof(f3080,plain,(
% 62.82/8.32 spl0_54|spl0_66|~spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3079,f2966,f3076,f2479])).
% 62.82/8.32 fof(f3098,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|X2=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2833,f2154])).
% 62.82/8.32 fof(f3099,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|X2=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L))),
% 62.82/8.32 inference(duplicate_literals_removal,[status(esa)],[f3098])).
% 62.82/8.32 fof(f3100,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)=v_L|X2=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|~pd0_7(X0,X1))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2833,f2226])).
% 62.82/8.32 fof(f3102,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~pd0_7(X4,X3)|pd0_9(sk0_100(X4,X3),X4,X3))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2797,f2232])).
% 62.82/8.32 fof(f3108,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2797,f2153])).
% 62.82/8.32 fof(f3109,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X0),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2797,f1179])).
% 62.82/8.32 fof(f3111,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~pd0_7(X4,X3)|pd0_9(sk0_100(X4,X3),X4,X3))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2802,f2232])).
% 62.82/8.32 fof(f3117,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2802,f2153])).
% 62.82/8.32 fof(f3141,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X1,c_Set_Oinsert(X0,X3,X2))))),
% 62.82/8.32 inference(resolution,[status(thm)],[f1902,f1906])).
% 62.82/8.32 fof(f3145,plain,(
% 62.82/8.32 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,v_L)))|X1=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f2647,f3141])).
% 62.82/8.32 fof(f3146,plain,(
% 62.82/8.32 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,v_L))|X1=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f3054,f3141])).
% 62.82/8.32 fof(f3154,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sk0_1(X0,X1),sk0_1(X0,X1)),X1)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1))),
% 62.82/8.32 inference(resolution,[status(thm)],[f570,f569])).
% 62.82/8.32 fof(f3157,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_54|~spl0_25),
% 62.82/8.32 inference(backward_demodulation,[status(thm)],[f2967,f2480])).
% 62.82/8.32 fof(f3158,plain,(
% 62.82/8.32 spl0_28|~spl0_54|~spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3157,f2531,f2966,f2479])).
% 62.82/8.32 fof(f3167,plain,(
% 62.82/8.32 c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)=v_L|~spl0_41),
% 62.82/8.32 inference(resolution,[status(thm)],[f2683,f1179])).
% 62.82/8.32 fof(f3178,plain,(
% 62.82/8.32 v_y=v_x|~spl0_31|~spl0_54),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2556,f2967])).
% 62.82/8.32 fof(f3179,plain,(
% 62.82/8.32 $false|~spl0_31|~spl0_54),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f3178,f2150])).
% 62.82/8.32 fof(f3180,plain,(
% 62.82/8.32 ~spl0_31|~spl0_54),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f3179])).
% 62.82/8.32 fof(f3188,plain,(
% 62.82/8.32 spl0_69 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_93),v_L)=v_L|X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3191,plain,(
% 62.82/8.32 ![X0]: (sk0_93=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_93),v_L)=v_L|X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~spl0_11)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2289,f2833])).
% 62.82/8.32 fof(f3192,plain,(
% 62.82/8.32 spl0_2|spl0_69|~spl0_11),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3191,f2254,f3188,f2288])).
% 62.82/8.32 fof(f3197,plain,(
% 62.82/8.32 c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)=v_L|~spl0_11),
% 62.82/8.32 inference(resolution,[status(thm)],[f2289,f1179])).
% 62.82/8.32 fof(f3200,plain,(
% 62.82/8.32 spl0_70 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=v_y|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3216,plain,(
% 62.82/8.32 spl0_54|~spl0_36),
% 62.82/8.32 inference(split_clause,[status(thm)],[f2757,f2966,f2665])).
% 62.82/8.32 fof(f3233,plain,(
% 62.82/8.32 $false|~spl0_22),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2451,f2150])).
% 62.82/8.32 fof(f3234,plain,(
% 62.82/8.32 ~spl0_22),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f3233])).
% 62.82/8.32 fof(f3237,plain,(
% 62.82/8.32 pd0_5(v_y,sk0_91)|~spl0_31|~spl0_23),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2556,f2471])).
% 62.82/8.32 fof(f3238,plain,(
% 62.82/8.32 spl0_71 <=> pd0_7(v_y,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3239,plain,(
% 62.82/8.32 pd0_7(v_y,sk0_91)|~spl0_71),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3238])).
% 62.82/8.32 fof(f3241,plain,(
% 62.82/8.32 spl0_72 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_99(v_y,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3243,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_99(v_y,sk0_91)),v_L)|spl0_72),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3241])).
% 62.82/8.32 fof(f3246,plain,(
% 62.82/8.32 spl0_73 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(v_y,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3247,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(v_y,sk0_91)),v_L)|~spl0_73),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3246])).
% 62.82/8.32 fof(f3251,plain,(
% 62.82/8.32 spl0_74 <=> sk0_99(v_y,sk0_91)=v_y),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3256,plain,(
% 62.82/8.32 pd0_7(v_y,sk0_91)|v_y=v_y|~spl0_31|~spl0_23),
% 62.82/8.32 inference(resolution,[status(thm)],[f3237,f2209])).
% 62.82/8.32 fof(f3257,plain,(
% 62.82/8.32 spl0_71|spl0_13|~spl0_31|~spl0_23),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3256,f3238,f2394,f2555,f2470])).
% 62.82/8.32 fof(f3260,plain,(
% 62.82/8.32 $false|~spl0_71),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f3239,f2386])).
% 62.82/8.32 fof(f3261,plain,(
% 62.82/8.32 ~spl0_71),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f3260])).
% 62.82/8.32 fof(f3263,plain,(
% 62.82/8.32 pd0_4(v_x,sk0_91)|~spl0_54|~spl0_0),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2967,f2248])).
% 62.82/8.32 fof(f3270,plain,(
% 62.82/8.32 spl0_77 <=> pd0_5(v_x,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3271,plain,(
% 62.82/8.32 pd0_5(v_x,sk0_91)|~spl0_77),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3270])).
% 62.82/8.32 fof(f3287,plain,(
% 62.82/8.32 pd0_5(v_x,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_54|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f3263,f2201])).
% 62.82/8.32 fof(f3288,plain,(
% 62.82/8.32 spl0_77|spl0_28|~spl0_54|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3287,f3270,f2531,f2966,f2247])).
% 62.82/8.32 fof(f3299,plain,(
% 62.82/8.32 pd0_5(v_x,sk0_91)|~spl0_54|~spl0_23),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2967,f2471])).
% 62.82/8.32 fof(f3300,plain,(
% 62.82/8.32 spl0_80 <=> pd0_7(v_x,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3301,plain,(
% 62.82/8.32 pd0_7(v_x,sk0_91)|~spl0_80),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3300])).
% 62.82/8.32 fof(f3318,plain,(
% 62.82/8.32 pd0_7(v_x,sk0_91)|v_x=v_y|~spl0_54|~spl0_23),
% 62.82/8.32 inference(resolution,[status(thm)],[f3299,f2209])).
% 62.82/8.32 fof(f3319,plain,(
% 62.82/8.32 spl0_80|spl0_22|~spl0_54|~spl0_23),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3318,f3300,f2450,f2966,f2470])).
% 62.82/8.32 fof(f3329,plain,(
% 62.82/8.32 pd0_7(v_x,sk0_91)|v_x=v_y|~spl0_77),
% 62.82/8.32 inference(resolution,[status(thm)],[f3271,f2209])).
% 62.82/8.32 fof(f3330,plain,(
% 62.82/8.32 spl0_80|spl0_22|~spl0_77),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3329,f3300,f2450,f3270])).
% 62.82/8.32 fof(f3363,plain,(
% 62.82/8.32 pd0_4(v_y,sk0_91)|~spl0_31|~spl0_0),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2556,f2248])).
% 62.82/8.32 fof(f3365,plain,(
% 62.82/8.32 spl0_85 <=> pd0_8(sk0_97(v_y,sk0_91),v_y)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3366,plain,(
% 62.82/8.32 pd0_8(sk0_97(v_y,sk0_91),v_y)|~spl0_85),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3365])).
% 62.82/8.32 fof(f3368,plain,(
% 62.82/8.32 spl0_86 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_97(v_y,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3369,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_97(v_y,sk0_91)),v_L)|~spl0_86),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3368])).
% 62.82/8.32 fof(f3370,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_97(v_y,sk0_91)),v_L)|spl0_86),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3368])).
% 62.82/8.32 fof(f3371,plain,(
% 62.82/8.32 spl0_87 <=> pd0_5(v_y,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3372,plain,(
% 62.82/8.32 pd0_5(v_y,sk0_91)|~spl0_87),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3371])).
% 62.82/8.32 fof(f3379,plain,(
% 62.82/8.32 spl0_89 <=> pd0_6(sk0_97(v_y,sk0_91),v_y)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3380,plain,(
% 62.82/8.32 pd0_6(sk0_97(v_y,sk0_91),v_y)|~spl0_89),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3379])).
% 62.82/8.32 fof(f3382,plain,(
% 62.82/8.32 spl0_90 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3383,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_90),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3382])).
% 62.82/8.32 fof(f3385,plain,(
% 62.82/8.32 pd0_5(v_y,sk0_91)|pd0_6(sk0_97(v_y,sk0_91),v_y)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_31|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f3363,f2204])).
% 62.82/8.32 fof(f3386,plain,(
% 62.82/8.32 spl0_87|spl0_89|spl0_90|~spl0_31|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3385,f3371,f3379,f3382,f2555,f2247])).
% 62.82/8.32 fof(f3389,plain,(
% 62.82/8.32 pd0_5(v_y,sk0_91)|sk0_91=v_y|~spl0_31|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f3363,f2200])).
% 62.82/8.32 fof(f3390,plain,(
% 62.82/8.32 spl0_87|spl0_26|~spl0_31|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3389,f3371,f2484,f2555,f2247])).
% 62.82/8.32 fof(f3391,plain,(
% 62.82/8.32 spl0_91 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3392,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_91),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3391])).
% 62.82/8.32 fof(f3393,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|spl0_91),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3391])).
% 62.82/8.32 fof(f3394,plain,(
% 62.82/8.32 pd0_5(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_31|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f3363,f2201])).
% 62.82/8.32 fof(f3395,plain,(
% 62.82/8.32 spl0_87|spl0_91|~spl0_31|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3394,f3371,f3391,f2555,f2247])).
% 62.82/8.32 fof(f3398,plain,(
% 62.82/8.32 spl0_92 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3401,plain,(
% 62.82/8.32 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))|X1=X2|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X1=X2|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f3054,f3145])).
% 62.82/8.32 fof(f3402,plain,(
% 62.82/8.32 spl0_92|spl0_63),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3401,f3398,f3060])).
% 62.82/8.32 fof(f3403,plain,(
% 62.82/8.32 spl0_93 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L))|X1=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3408,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)|~pd0_7(X3,X0)|pd0_9(sk0_100(X3,X0),X3,X0))),
% 62.82/8.32 inference(resolution,[status(thm)],[f3108,f2232])).
% 62.82/8.32 fof(f3414,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X0),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f3108,f2152])).
% 62.82/8.32 fof(f3430,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),v_L)|X2=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f3117,f2154])).
% 62.82/8.32 fof(f3441,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)=v_L|X0=v_x|~pd0_7(X2,X0)|pd0_9(sk0_100(X2,X0),X2,X0))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2847,f2232])).
% 62.82/8.32 fof(f3537,plain,(
% 62.82/8.32 spl0_94 <=> sk0_91=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3540,plain,(
% 62.82/8.32 spl0_95 <=> pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3543,plain,(
% 62.82/8.32 ![X0]: (sk0_91=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|sk0_91=v_x|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f3441])).
% 62.82/8.32 fof(f3544,plain,(
% 62.82/8.32 spl0_94|spl0_24|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3543,f3537,f2473,f3540,f3300])).
% 62.82/8.32 fof(f3546,plain,(
% 62.82/8.32 spl0_96 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3549,plain,(
% 62.82/8.32 ![X0,X1]: (sk0_91=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f3408])).
% 62.82/8.32 fof(f3550,plain,(
% 62.82/8.32 spl0_24|spl0_96|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3549,f2473,f3546,f3540,f3300])).
% 62.82/8.32 fof(f3551,plain,(
% 62.82/8.32 spl0_97 <=> X0=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3554,plain,(
% 62.82/8.32 ![X0,X1]: (X0=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|sk0_91=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f3039])).
% 62.82/8.32 fof(f3555,plain,(
% 62.82/8.32 spl0_97|spl0_24|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3554,f3551,f2473,f3540,f3300])).
% 62.82/8.32 fof(f3556,plain,(
% 62.82/8.32 spl0_98 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_91),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3559,plain,(
% 62.82/8.32 ![X0,X1]: (sk0_91=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_91),v_L)=v_L|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f3028])).
% 62.82/8.32 fof(f3560,plain,(
% 62.82/8.32 spl0_24|spl0_98|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3559,f2473,f3556,f3540,f3300])).
% 62.82/8.32 fof(f3561,plain,(
% 62.82/8.32 spl0_99 <=> X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X2),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3564,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X2),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f3111])).
% 62.82/8.32 fof(f3565,plain,(
% 62.82/8.32 spl0_99|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3564,f3561,f3540,f3300])).
% 62.82/8.32 fof(f3566,plain,(
% 62.82/8.32 spl0_100 <=> v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X2),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3569,plain,(
% 62.82/8.32 ![X0,X1,X2]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X2),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f3102])).
% 62.82/8.32 fof(f3570,plain,(
% 62.82/8.32 spl0_100|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3569,f3566,f3540,f3300])).
% 62.82/8.32 fof(f3571,plain,(
% 62.82/8.32 spl0_101 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3574,plain,(
% 62.82/8.32 ![X0]: (v_x=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)=v_L|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f3100])).
% 62.82/8.32 fof(f3575,plain,(
% 62.82/8.32 spl0_24|spl0_101|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3574,f2473,f3571,f3300])).
% 62.82/8.32 fof(f3576,plain,(
% 62.82/8.32 spl0_102 <=> X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X1=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3579,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X1=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f3046])).
% 62.82/8.32 fof(f3580,plain,(
% 62.82/8.32 spl0_102|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3579,f3576,f3540,f3300])).
% 62.82/8.32 fof(f3581,plain,(
% 62.82/8.32 spl0_103 <=> X0=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3584,plain,(
% 62.82/8.32 ![X0]: (X0=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|sk0_91=v_x|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f3017])).
% 62.82/8.32 fof(f3585,plain,(
% 62.82/8.32 spl0_103|spl0_24|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3584,f3581,f2473,f3540,f3300])).
% 62.82/8.32 fof(f3586,plain,(
% 62.82/8.32 spl0_104 <=> X0=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3589,plain,(
% 62.82/8.32 ![X0,X1]: (X0=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2818])).
% 62.82/8.32 fof(f3590,plain,(
% 62.82/8.32 spl0_104|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3589,f3586,f3540,f3300])).
% 62.82/8.32 fof(f3593,plain,(
% 62.82/8.32 spl0_105 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3596,plain,(
% 62.82/8.32 ![X0]: (sk0_91=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)=v_L|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2774])).
% 62.82/8.32 fof(f3597,plain,(
% 62.82/8.32 spl0_24|spl0_105|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3596,f2473,f3593,f3540,f3300])).
% 62.82/8.32 fof(f3599,plain,(
% 62.82/8.32 spl0_106 <=> X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3602,plain,(
% 62.82/8.32 ![X0,X1]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2801])).
% 62.82/8.32 fof(f3603,plain,(
% 62.82/8.32 spl0_106|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3602,f3599,f3540,f3300])).
% 62.82/8.32 fof(f3604,plain,(
% 62.82/8.32 spl0_107 <=> v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3607,plain,(
% 62.82/8.32 ![X0,X1]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2796])).
% 62.82/8.32 fof(f3608,plain,(
% 62.82/8.32 spl0_107|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3607,f3604,f3540,f3300])).
% 62.82/8.32 fof(f3609,plain,(
% 62.82/8.32 spl0_108 <=> X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3612,plain,(
% 62.82/8.32 ![X0]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2769])).
% 62.82/8.32 fof(f3613,plain,(
% 62.82/8.32 spl0_108|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3612,f3609,f3540,f3300])).
% 62.82/8.32 fof(f3614,plain,(
% 62.82/8.32 spl0_109 <=> v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3615,plain,(
% 62.82/8.32 ![X0]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~spl0_109)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3614])).
% 62.82/8.32 fof(f3617,plain,(
% 62.82/8.32 ![X0]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2765])).
% 62.82/8.32 fof(f3618,plain,(
% 62.82/8.32 spl0_109|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3617,f3614,f3540,f3300])).
% 62.82/8.32 fof(f3619,plain,(
% 62.82/8.32 spl0_110 <=> pd0_10(sk0_100(v_x,sk0_91),v_x,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3620,plain,(
% 62.82/8.32 pd0_10(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_110),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3619])).
% 62.82/8.32 fof(f3622,plain,(
% 62.82/8.32 spl0_111 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(v_x,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3624,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(v_x,sk0_91)),v_L)|spl0_111),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3622])).
% 62.82/8.32 fof(f3625,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|pd0_10(sk0_100(v_x,sk0_91),v_x,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(v_x,sk0_91)),v_L)|~spl0_80),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2606])).
% 62.82/8.32 fof(f3626,plain,(
% 62.82/8.32 spl0_28|spl0_110|~spl0_111|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3625,f2531,f3619,f3622,f3300])).
% 62.82/8.32 fof(f3627,plain,(
% 62.82/8.32 spl0_112 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3630,plain,(
% 62.82/8.32 sk0_91=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)=v_L|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2645])).
% 62.82/8.32 fof(f3631,plain,(
% 62.82/8.32 spl0_24|spl0_112|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3630,f2473,f3627,f3540,f3300])).
% 62.82/8.32 fof(f3638,plain,(
% 62.82/8.32 spl0_114 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_100(v_x,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3639,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_100(v_x,sk0_91)),v_L)|~spl0_114),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3638])).
% 62.82/8.32 fof(f3641,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|pd0_10(sk0_100(v_x,sk0_91),v_x,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_100(v_x,sk0_91)),v_L)|~spl0_80),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2607])).
% 62.82/8.32 fof(f3642,plain,(
% 62.82/8.32 spl0_28|spl0_110|spl0_114|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3641,f2531,f3619,f3638,f3300])).
% 62.82/8.32 fof(f3644,plain,(
% 62.82/8.32 spl0_115 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3645,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_115),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3644])).
% 62.82/8.32 fof(f3647,plain,(
% 62.82/8.32 v_x=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|pd0_9(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_80),
% 62.82/8.32 inference(resolution,[status(thm)],[f3301,f2638])).
% 62.82/8.32 fof(f3648,plain,(
% 62.82/8.32 spl0_24|spl0_115|spl0_95|~spl0_80),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3647,f2473,f3644,f3540,f3300])).
% 62.82/8.32 fof(f3652,plain,(
% 62.82/8.32 pd0_7(v_x,v_x)|~spl0_24|~spl0_80),
% 62.82/8.32 inference(backward_demodulation,[status(thm)],[f2474,f3301])).
% 62.82/8.32 fof(f3653,plain,(
% 62.82/8.32 $false|~spl0_24|~spl0_80),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f3652,f2401])).
% 62.82/8.32 fof(f3654,plain,(
% 62.82/8.32 ~spl0_24|~spl0_80),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f3653])).
% 62.82/8.32 fof(f3655,plain,(
% 62.82/8.32 spl0_116 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_99(sk0_92,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3657,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_99(sk0_92,sk0_91)),v_L)|spl0_116),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3655])).
% 62.82/8.32 fof(f3658,plain,(
% 62.82/8.32 pd0_7(sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_99(sk0_92,sk0_91)),v_L)|~spl0_23),
% 62.82/8.32 inference(resolution,[status(thm)],[f2471,f2214])).
% 62.82/8.32 fof(f3659,plain,(
% 62.82/8.32 spl0_29|~spl0_116|~spl0_23),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3658,f2541,f3655,f2470])).
% 62.82/8.32 fof(f3660,plain,(
% 62.82/8.32 spl0_117 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(sk0_92,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3661,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(sk0_92,sk0_91)),v_L)|~spl0_117),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3660])).
% 62.82/8.32 fof(f3662,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(sk0_92,sk0_91)),v_L)|spl0_117),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3660])).
% 62.82/8.32 fof(f3663,plain,(
% 62.82/8.32 pd0_7(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(sk0_92,sk0_91)),v_L)|~spl0_23),
% 62.82/8.32 inference(resolution,[status(thm)],[f2471,f2212])).
% 62.82/8.32 fof(f3664,plain,(
% 62.82/8.32 spl0_29|spl0_117|~spl0_23),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3663,f2541,f3660,f2470])).
% 62.82/8.32 fof(f3672,plain,(
% 62.82/8.32 pd0_7(v_y,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_99(v_y,sk0_91)),v_L)|~spl0_87),
% 62.82/8.32 inference(resolution,[status(thm)],[f3372,f2214])).
% 62.82/8.32 fof(f3673,plain,(
% 62.82/8.32 spl0_71|~spl0_72|~spl0_87),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3672,f3238,f3241,f3371])).
% 62.82/8.32 fof(f3674,plain,(
% 62.82/8.32 pd0_7(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(v_y,sk0_91)),v_L)|~spl0_87),
% 62.82/8.32 inference(resolution,[status(thm)],[f3372,f2212])).
% 62.82/8.32 fof(f3675,plain,(
% 62.82/8.32 spl0_71|spl0_73|~spl0_87),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3674,f3238,f3246,f3371])).
% 62.82/8.32 fof(f3676,plain,(
% 62.82/8.32 pd0_7(v_y,sk0_91)|~sk0_99(v_y,sk0_91)=v_y|~spl0_87),
% 62.82/8.32 inference(resolution,[status(thm)],[f3372,f2213])).
% 62.82/8.32 fof(f3677,plain,(
% 62.82/8.32 spl0_71|~spl0_74|~spl0_87),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3676,f3238,f3251,f3371])).
% 62.82/8.32 fof(f3678,plain,(
% 62.82/8.32 pd0_7(v_y,sk0_91)|v_y=v_y|~spl0_87),
% 62.82/8.32 inference(resolution,[status(thm)],[f3372,f2209])).
% 62.82/8.32 fof(f3679,plain,(
% 62.82/8.32 spl0_71|spl0_13|~spl0_87),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3678,f3238,f2394,f3371])).
% 62.82/8.32 fof(f3680,plain,(
% 62.82/8.32 pd0_7(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_87),
% 62.82/8.32 inference(resolution,[status(thm)],[f3372,f2210])).
% 62.82/8.32 fof(f3681,plain,(
% 62.82/8.32 spl0_71|spl0_30|~spl0_87),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3680,f3238,f2544,f3371])).
% 62.82/8.32 fof(f3682,plain,(
% 62.82/8.32 spl0_118 <=> pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3683,plain,(
% 62.82/8.32 pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)|~spl0_118),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3682])).
% 62.82/8.32 fof(f3685,plain,(
% 62.82/8.32 spl0_119 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3686,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,sk0_91)),v_L)|~spl0_119),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3685])).
% 62.82/8.32 fof(f3693,plain,(
% 62.82/8.32 spl0_121 <=> pd0_6(sk0_97(sk0_92,sk0_91),sk0_92)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3694,plain,(
% 62.82/8.32 pd0_6(sk0_97(sk0_92,sk0_91),sk0_92)|~spl0_121),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3693])).
% 62.82/8.32 fof(f3696,plain,(
% 62.82/8.32 pd0_5(sk0_92,sk0_91)|pd0_6(sk0_97(sk0_92,sk0_91),sk0_92)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_0),
% 62.82/8.32 inference(resolution,[status(thm)],[f2248,f2204])).
% 62.82/8.32 fof(f3697,plain,(
% 62.82/8.32 spl0_23|spl0_121|spl0_41|~spl0_0),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3696,f2470,f3693,f2682,f2247])).
% 62.82/8.32 fof(f3704,plain,(
% 62.82/8.32 $false|~spl0_31|~spl0_27),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f2588,f2386])).
% 62.82/8.32 fof(f3705,plain,(
% 62.82/8.32 ~spl0_31|~spl0_27),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f3704])).
% 62.82/8.32 fof(f3708,plain,(
% 62.82/8.32 spl0_122 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3711,plain,(
% 62.82/8.32 ![X0]: (v_x=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f3099])).
% 62.82/8.32 fof(f3712,plain,(
% 62.82/8.32 spl0_54|spl0_122|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3711,f2966,f3708,f2479])).
% 62.82/8.32 fof(f3713,plain,(
% 62.82/8.32 spl0_123 <=> v_x=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3716,plain,(
% 62.82/8.32 ![X0]: (v_x=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f2847])).
% 62.82/8.32 fof(f3717,plain,(
% 62.82/8.32 spl0_123|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3716,f3713,f2966,f2479])).
% 62.82/8.32 fof(f3718,plain,(
% 62.82/8.32 spl0_124 <=> X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3721,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f3430])).
% 62.82/8.32 fof(f3722,plain,(
% 62.82/8.32 spl0_124|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3721,f3718,f2966,f2479])).
% 62.82/8.32 fof(f3723,plain,(
% 62.82/8.32 spl0_125 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3726,plain,(
% 62.82/8.32 ![X0,X1]: (v_x=sk0_92|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f3108])).
% 62.82/8.32 fof(f3727,plain,(
% 62.82/8.32 spl0_54|spl0_125|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3726,f2966,f3723,f2479])).
% 62.82/8.32 fof(f3731,plain,(
% 62.82/8.32 spl0_126 <=> X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3734,plain,(
% 62.82/8.32 ![X0,X1]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|v_x=sk0_92|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f2832])).
% 62.82/8.32 fof(f3735,plain,(
% 62.82/8.32 spl0_126|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3734,f3731,f2966,f2479])).
% 62.82/8.32 fof(f3736,plain,(
% 62.82/8.32 spl0_127 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3739,plain,(
% 62.82/8.32 ![X0,X1]: (v_x=sk0_92|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f2799])).
% 62.82/8.32 fof(f3740,plain,(
% 62.82/8.32 spl0_54|spl0_127|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3739,f2966,f3736,f2479])).
% 62.82/8.32 fof(f3741,plain,(
% 62.82/8.32 spl0_128 <=> X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3744,plain,(
% 62.82/8.32 ![X0]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f2834])).
% 62.82/8.32 fof(f3745,plain,(
% 62.82/8.32 spl0_128|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3744,f3741,f2966,f2479])).
% 62.82/8.32 fof(f3749,plain,(
% 62.82/8.32 spl0_129 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3752,plain,(
% 62.82/8.32 ![X0]: (v_x=sk0_92|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f2767])).
% 62.82/8.32 fof(f3753,plain,(
% 62.82/8.32 spl0_54|spl0_129|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3752,f2966,f3749,f2479])).
% 62.82/8.32 fof(f3756,plain,(
% 62.82/8.32 spl0_130 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3757,plain,(
% 62.82/8.32 c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)=v_L|~spl0_130),
% 62.82/8.32 inference(component_clause,[status(thm)],[f3756])).
% 62.82/8.32 fof(f3759,plain,(
% 62.82/8.32 v_x=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)=v_L|spl0_25),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f2640])).
% 62.82/8.32 fof(f3760,plain,(
% 62.82/8.32 spl0_54|spl0_130|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3759,f2966,f3756,f2479])).
% 62.82/8.32 fof(f3763,plain,(
% 62.82/8.32 ~pd0_7(sk0_92,v_x)|spl0_25),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f2226])).
% 62.82/8.32 fof(f3764,plain,(
% 62.82/8.32 ~spl0_27|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3763,f2528,f2479])).
% 62.82/8.32 fof(f3765,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_31|spl0_25),
% 62.82/8.32 inference(backward_demodulation,[status(thm)],[f2556,f2481])).
% 62.82/8.32 fof(f3861,plain,(
% 62.82/8.32 spl0_133 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L),v_L)|X1=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3875,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f3414,f2153])).
% 62.82/8.32 fof(f3876,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X1),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3414,f1179])).
% 62.82/8.32 fof(f3894,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X2=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f3875,f2639])).
% 62.82/8.32 fof(f3898,plain,(
% 62.82/8.32 spl0_134 <=> X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|X2=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)=v_L|X1=X2|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3903,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))|X1=X2|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X3=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),v_L)=v_L|X2=X3|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)=v_L)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f2846,f3146])).
% 62.82/8.32 fof(f3904,plain,(
% 62.82/8.32 spl0_92|spl0_134),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3903,f3398,f3898])).
% 62.82/8.32 fof(f3929,plain,(
% 62.82/8.32 spl0_136 <=> X0=X0|X0=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f3932,plain,(
% 62.82/8.32 ![X0]: (X0=X0|X0=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)=v_L|~v_L=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)=v_L)),
% 62.82/8.32 inference(equality_factoring,[status(esa)],[f2846])).
% 62.82/8.32 fof(f3933,plain,(
% 62.82/8.32 spl0_136|~spl0_52),
% 62.82/8.32 inference(split_clause,[status(thm)],[f3932,f3929,f2788])).
% 62.82/8.32 fof(f4010,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (c_member(X0,X1,X2)|~c_member(X3,X1,X2))),
% 62.82/8.32 inference(resolution,[status(thm)],[f588,f587])).
% 62.82/8.32 fof(f4024,plain,(
% 62.82/8.32 spl0_138 <=> pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4025,plain,(
% 62.82/8.32 pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_138),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4024])).
% 62.82/8.32 fof(f4042,plain,(
% 62.82/8.32 spl0_141 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)=v_L|X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4060,plain,(
% 62.82/8.32 spl0_142 <=> sk0_92=sk0_91),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4061,plain,(
% 62.82/8.32 sk0_92=sk0_91|~spl0_142),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4060])).
% 62.82/8.32 fof(f4062,plain,(
% 62.82/8.32 ~sk0_92=sk0_91|spl0_142),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4060])).
% 62.82/8.32 fof(f4063,plain,(
% 62.82/8.32 spl0_143 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)=v_L|X0=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4066,plain,(
% 62.82/8.32 ![X0]: (sk0_92=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)=v_L|X0=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)=v_L|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2542,f3100])).
% 62.82/8.32 fof(f4067,plain,(
% 62.82/8.32 spl0_142|spl0_143|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4066,f4060,f4063,f2541])).
% 62.82/8.32 fof(f4085,plain,(
% 62.82/8.32 ![X0]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2542,f2765])).
% 62.82/8.32 fof(f4086,plain,(
% 62.82/8.32 spl0_109|spl0_138|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4085,f3614,f4024,f2541])).
% 62.82/8.32 fof(f4087,plain,(
% 62.82/8.32 spl0_144 <=> pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4088,plain,(
% 62.82/8.32 pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_144),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4087])).
% 62.82/8.32 fof(f4090,plain,(
% 62.82/8.32 spl0_145 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4093,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_29),
% 62.82/8.32 inference(resolution,[status(thm)],[f2542,f2606])).
% 62.82/8.32 fof(f4094,plain,(
% 62.82/8.32 spl0_41|spl0_144|~spl0_145|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4093,f2682,f4087,f4090,f2541])).
% 62.82/8.32 fof(f4103,plain,(
% 62.82/8.32 spl0_147 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4104,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_147),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4103])).
% 62.82/8.32 fof(f4106,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_29),
% 62.82/8.32 inference(resolution,[status(thm)],[f2542,f2607])).
% 62.82/8.32 fof(f4107,plain,(
% 62.82/8.32 spl0_41|spl0_144|spl0_147|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4106,f2682,f4087,f4103,f2541])).
% 62.82/8.32 fof(f4108,plain,(
% 62.82/8.32 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2542,f2569])).
% 62.82/8.32 fof(f4109,plain,(
% 62.82/8.32 v_x=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_29),
% 62.82/8.32 inference(resolution,[status(thm)],[f2542,f2638])).
% 62.82/8.32 fof(f4110,plain,(
% 62.82/8.32 spl0_24|spl0_115|spl0_138|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4109,f2473,f3644,f4024,f2541])).
% 62.82/8.32 fof(f4113,plain,(
% 62.82/8.32 pd0_7(sk0_91,sk0_91)|~spl0_142|~spl0_29),
% 62.82/8.32 inference(backward_demodulation,[status(thm)],[f4061,f2542])).
% 62.82/8.32 fof(f4114,plain,(
% 62.82/8.32 $false|~spl0_142|~spl0_29),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f4113,f2401])).
% 62.82/8.32 fof(f4115,plain,(
% 62.82/8.32 ~spl0_142|~spl0_29),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f4114])).
% 62.82/8.32 fof(f4197,plain,(
% 62.82/8.32 spl0_148 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4199,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,sk0_91)),v_L)|spl0_148),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4197])).
% 62.82/8.32 fof(f4200,plain,(
% 62.82/8.32 pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,sk0_91)),v_L)|~spl0_121),
% 62.82/8.32 inference(resolution,[status(thm)],[f3694,f2220])).
% 62.82/8.32 fof(f4201,plain,(
% 62.82/8.32 spl0_118|~spl0_148|~spl0_121),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4200,f3682,f4197,f3693])).
% 62.82/8.32 fof(f4202,plain,(
% 62.82/8.32 pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,sk0_91)),v_L)|~spl0_121),
% 62.82/8.32 inference(resolution,[status(thm)],[f3694,f2218])).
% 62.82/8.32 fof(f4203,plain,(
% 62.82/8.32 spl0_118|spl0_119|~spl0_121),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4202,f3682,f3685,f3693])).
% 62.82/8.32 fof(f4205,plain,(
% 62.82/8.32 sk0_92=v_x|~spl0_118),
% 62.82/8.32 inference(resolution,[status(thm)],[f3683,f2234])).
% 62.82/8.32 fof(f4206,plain,(
% 62.82/8.32 spl0_54|~spl0_118),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4205,f2966,f3682])).
% 62.82/8.32 fof(f4213,plain,(
% 62.82/8.32 spl0_149 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)=v_L|X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4216,plain,(
% 62.82/8.32 ![X0]: (v_y=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)=v_L|X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~spl0_91)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3392,f2833])).
% 62.82/8.32 fof(f4217,plain,(
% 62.82/8.32 spl0_22|spl0_149|~spl0_91),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4216,f2450,f4213,f3391])).
% 62.82/8.32 fof(f4230,plain,(
% 62.82/8.32 ![X0]: (v_x=v_y|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=v_y|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)=v_L|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3383,f2833])).
% 62.82/8.32 fof(f4231,plain,(
% 62.82/8.32 spl0_22|spl0_70|~spl0_90),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4230,f2450,f3200,f3382])).
% 62.82/8.32 fof(f4235,plain,(
% 62.82/8.32 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3383,f2152])).
% 62.82/8.32 fof(f4236,plain,(
% 62.82/8.32 c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)=v_L|~spl0_90),
% 62.82/8.32 inference(resolution,[status(thm)],[f3383,f1179])).
% 62.82/8.32 fof(f4243,plain,(
% 62.82/8.32 ![X0]: (sk0_91=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)=v_L|X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)=v_L|~spl0_115)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3645,f2833])).
% 62.82/8.32 fof(f4244,plain,(
% 62.82/8.32 spl0_24|spl0_141|~spl0_115),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4243,f2473,f4042,f3644])).
% 62.82/8.32 fof(f4248,plain,(
% 62.82/8.32 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|~spl0_115)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3645,f2152])).
% 62.82/8.32 fof(f4257,plain,(
% 62.82/8.32 ![X0]: (v_x=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=sk0_91|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)=v_L|~spl0_30)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2545,f2833])).
% 62.82/8.32 fof(f4258,plain,(
% 62.82/8.32 spl0_24|spl0_101|~spl0_30),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4257,f2473,f3571,f2544])).
% 62.82/8.32 fof(f4271,plain,(
% 62.82/8.32 ![X0]: (v_x=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L|~spl0_41)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2683,f2833])).
% 62.82/8.32 fof(f4272,plain,(
% 62.82/8.32 spl0_54|spl0_122|~spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4271,f2966,f3708,f2682])).
% 62.82/8.32 fof(f4278,plain,(
% 62.82/8.32 spl0_150 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(v_y,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4280,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(v_y,sk0_91)),v_L)|spl0_150),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4278])).
% 62.82/8.32 fof(f4281,plain,(
% 62.82/8.32 pd0_8(sk0_97(v_y,sk0_91),v_y)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(v_y,sk0_91)),v_L)|~spl0_89),
% 62.82/8.32 inference(resolution,[status(thm)],[f3380,f2220])).
% 62.82/8.32 fof(f4282,plain,(
% 62.82/8.32 spl0_85|~spl0_150|~spl0_89),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4281,f3365,f4278,f3379])).
% 62.82/8.32 fof(f4283,plain,(
% 62.82/8.32 pd0_8(sk0_97(v_y,sk0_91),v_y)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_97(v_y,sk0_91)),v_L)|~spl0_89),
% 62.82/8.32 inference(resolution,[status(thm)],[f3380,f2218])).
% 62.82/8.32 fof(f4284,plain,(
% 62.82/8.32 spl0_85|spl0_86|~spl0_89),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4283,f3365,f3368,f3379])).
% 62.82/8.32 fof(f4310,plain,(
% 62.82/8.32 ![X0]: (sk0_92=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f2639])).
% 62.82/8.32 fof(f4322,plain,(
% 62.82/8.32 spl0_151 <=> sk0_97(sk0_92,v_y)=sk0_92),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4323,plain,(
% 62.82/8.32 sk0_97(sk0_92,v_y)=sk0_92|~spl0_151),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4322])).
% 62.82/8.32 fof(f4325,plain,(
% 62.82/8.32 spl0_152 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)=v_L|X0=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4328,plain,(
% 62.82/8.32 ![X0]: (sk0_97(sk0_92,v_y)=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)=v_L|X0=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L|~spl0_37)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2669,f2833])).
% 62.82/8.32 fof(f4329,plain,(
% 62.82/8.32 spl0_151|spl0_152|~spl0_37),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4328,f4322,f4325,f2668])).
% 62.82/8.32 fof(f4350,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f3032,f2153])).
% 62.82/8.32 fof(f4380,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|X2=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f4350,f2154])).
% 62.82/8.32 fof(f4383,plain,(
% 62.82/8.32 spl0_154 <=> X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4386,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4380,f2481])).
% 62.82/8.32 fof(f4387,plain,(
% 62.82/8.32 spl0_154|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4386,f4383,f2966,f2479])).
% 62.82/8.32 fof(f4408,plain,(
% 62.82/8.32 spl0_156 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4411,plain,(
% 62.82/8.32 ![X0,X1,X2]: (v_x=sk0_92|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)=v_L|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3109,f2481])).
% 62.82/8.32 fof(f4412,plain,(
% 62.82/8.32 spl0_54|spl0_156|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4411,f2966,f4408,f2479])).
% 62.82/8.32 fof(f4433,plain,(
% 62.82/8.32 spl0_158 <=> sk0_97(sk0_92,v_y)=X0|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4436,plain,(
% 62.82/8.32 spl0_159 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4439,plain,(
% 62.82/8.32 ![X0]: (sk0_97(sk0_92,v_y)=X0|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),sk0_92),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)=v_L|~spl0_37)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3876,f2669])).
% 62.82/8.32 fof(f4440,plain,(
% 62.82/8.32 spl0_158|~spl0_159|~spl0_37),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4439,f4433,f4436,f2668])).
% 62.82/8.32 fof(f4529,plain,(
% 62.82/8.32 spl0_161 <=> X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4532,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|v_x=sk0_92|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3894,f2481])).
% 62.82/8.32 fof(f4533,plain,(
% 62.82/8.32 spl0_161|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4532,f4529,f2966,f2479])).
% 62.82/8.32 fof(f4583,plain,(
% 62.82/8.32 spl0_162 <=> v_x=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4586,plain,(
% 62.82/8.32 ![X0,X1,X2]: (v_x=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|v_x=sk0_92|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2842,f2481])).
% 62.82/8.32 fof(f4587,plain,(
% 62.82/8.32 spl0_162|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4586,f4583,f2966,f2479])).
% 62.82/8.32 fof(f4612,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~pd0_7(X2,X1)|pd0_9(sk0_100(X2,X1),X2,X1))),
% 62.82/8.32 inference(resolution,[status(thm)],[f4010,f2232])).
% 62.82/8.32 fof(f4633,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f4010,f2152])).
% 62.82/8.32 fof(f4634,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f4010,f2153])).
% 62.82/8.32 fof(f4645,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (~c_member(X0,X1,X2)|c_Set_Oinsert(X3,X1,X2)=X2)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4010,f1179])).
% 62.82/8.32 fof(f4679,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X2=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f4645,f2639])).
% 62.82/8.32 fof(f4681,plain,(
% 62.82/8.32 ![X0,X1,X2]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X2=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f4645,f2154])).
% 62.82/8.32 fof(f4728,plain,(
% 62.82/8.32 spl0_163 <=> ~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4731,plain,(
% 62.82/8.32 spl0_164 <=> c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X5,X6),X7)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4732,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|~spl0_164)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4731])).
% 62.82/8.32 fof(f4734,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X5,X6),X7))),
% 62.82/8.32 inference(resolution,[status(thm)],[f607,f606])).
% 62.82/8.32 fof(f4735,plain,(
% 62.82/8.32 spl0_163|spl0_164),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4734,f4728,f4731])).
% 62.82/8.32 fof(f4751,plain,(
% 62.82/8.32 spl0_168 <=> v_x=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_97(sk0_92,v_y)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4754,plain,(
% 62.82/8.32 spl0_169 <=> v_x=sk0_97(sk0_92,v_y)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4755,plain,(
% 62.82/8.32 v_x=sk0_97(sk0_92,v_y)|~spl0_169),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4754])).
% 62.82/8.32 fof(f4757,plain,(
% 62.82/8.32 ![X0,X1,X2]: (v_x=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|v_x=sk0_97(sk0_92,v_y)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_97(sk0_92,v_y)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f2842])).
% 62.82/8.32 fof(f4758,plain,(
% 62.82/8.32 spl0_168|spl0_169|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4757,f4751,f4754,f2749])).
% 62.82/8.32 fof(f4759,plain,(
% 62.82/8.32 spl0_170 <=> X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_97(sk0_92,v_y)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4762,plain,(
% 62.82/8.32 ![X0,X1,X2]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|v_x=sk0_97(sk0_92,v_y)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_97(sk0_92,v_y)),v_L)|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f3894])).
% 62.82/8.32 fof(f4763,plain,(
% 62.82/8.32 spl0_170|spl0_169|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4762,f4759,f4754,f2749])).
% 62.82/8.32 fof(f4764,plain,(
% 62.82/8.32 spl0_171 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4767,plain,(
% 62.82/8.32 ![X0,X1,X2]: (v_x=sk0_97(sk0_92,v_y)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)=v_L|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f3109])).
% 62.82/8.32 fof(f4768,plain,(
% 62.82/8.32 spl0_169|spl0_171|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4767,f4754,f4764,f2749])).
% 62.82/8.32 fof(f4769,plain,(
% 62.82/8.32 spl0_172 <=> X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4772,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X1|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|v_x=sk0_97(sk0_92,v_y)|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f4380])).
% 62.82/8.32 fof(f4773,plain,(
% 62.82/8.32 spl0_172|spl0_169|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4772,f4769,f4754,f2749])).
% 62.82/8.32 fof(f4777,plain,(
% 62.82/8.32 spl0_173 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=sk0_97(sk0_92,v_y)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4780,plain,(
% 62.82/8.32 ![X0]: (v_x=sk0_97(sk0_92,v_y)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|X0=sk0_97(sk0_92,v_y)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)=v_L|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f3099])).
% 62.82/8.32 fof(f4781,plain,(
% 62.82/8.32 spl0_169|spl0_173|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4780,f4754,f4777,f2749])).
% 62.82/8.32 fof(f4782,plain,(
% 62.82/8.32 spl0_174 <=> v_x=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4785,plain,(
% 62.82/8.32 ![X0]: (v_x=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)=v_L|v_x=sk0_97(sk0_92,v_y)|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f2847])).
% 62.82/8.32 fof(f4786,plain,(
% 62.82/8.32 spl0_174|spl0_169|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4785,f4782,f4754,f2749])).
% 62.82/8.32 fof(f4787,plain,(
% 62.82/8.32 spl0_175 <=> X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,v_y)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4790,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X1|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,v_y)),v_L)|v_x=sk0_97(sk0_92,v_y)|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f3430])).
% 62.82/8.32 fof(f4791,plain,(
% 62.82/8.32 spl0_175|spl0_169|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4790,f4787,f4754,f2749])).
% 62.82/8.32 fof(f4792,plain,(
% 62.82/8.32 spl0_176 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4795,plain,(
% 62.82/8.32 ![X0,X1]: (v_x=sk0_97(sk0_92,v_y)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f3108])).
% 62.82/8.32 fof(f4796,plain,(
% 62.82/8.32 spl0_169|spl0_176|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4795,f4754,f4792,f2749])).
% 62.82/8.32 fof(f4800,plain,(
% 62.82/8.32 spl0_177 <=> X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,v_y)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4803,plain,(
% 62.82/8.32 ![X0,X1]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|v_x=sk0_97(sk0_92,v_y)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,v_y)),v_L)|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f2832])).
% 62.82/8.32 fof(f4804,plain,(
% 62.82/8.32 spl0_177|spl0_169|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4803,f4800,f4754,f2749])).
% 62.82/8.32 fof(f4805,plain,(
% 62.82/8.32 spl0_178 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4808,plain,(
% 62.82/8.32 ![X0,X1]: (v_x=sk0_97(sk0_92,v_y)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f2799])).
% 62.82/8.32 fof(f4809,plain,(
% 62.82/8.32 spl0_169|spl0_178|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4808,f4754,f4805,f2749])).
% 62.82/8.32 fof(f4810,plain,(
% 62.82/8.32 spl0_179 <=> X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4813,plain,(
% 62.82/8.32 ![X0]: (X0=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|v_x=sk0_97(sk0_92,v_y)|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f2834])).
% 62.82/8.32 fof(f4814,plain,(
% 62.82/8.32 spl0_179|spl0_169|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4813,f4810,f4754,f2749])).
% 62.82/8.32 fof(f4818,plain,(
% 62.82/8.32 spl0_180 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4821,plain,(
% 62.82/8.32 ![X0]: (v_x=sk0_97(sk0_92,v_y)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,v_y)),v_L)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|spl0_48)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f2767])).
% 62.82/8.32 fof(f4822,plain,(
% 62.82/8.32 spl0_169|spl0_180|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4821,f4754,f4818,f2749])).
% 62.82/8.32 fof(f4825,plain,(
% 62.82/8.32 spl0_181 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4828,plain,(
% 62.82/8.32 v_x=sk0_97(sk0_92,v_y)|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)=v_L|spl0_48),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f2640])).
% 62.82/8.32 fof(f4829,plain,(
% 62.82/8.32 spl0_169|spl0_181|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4828,f4754,f4825,f2749])).
% 62.82/8.32 fof(f4830,plain,(
% 62.82/8.32 spl0_182 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4833,plain,(
% 62.82/8.32 sk0_97(sk0_92,v_y)=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)|spl0_48),
% 62.82/8.32 inference(resolution,[status(thm)],[f2751,f2154])).
% 62.82/8.32 fof(f4834,plain,(
% 62.82/8.32 spl0_169|spl0_182|spl0_48),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4833,f4754,f4830,f2749])).
% 62.82/8.32 fof(f4877,plain,(
% 62.82/8.32 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))|sk0_92=v_x|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)=v_L|~spl0_56)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f2977,f3146])).
% 62.82/8.32 fof(f4878,plain,(
% 62.82/8.32 spl0_92|spl0_54|spl0_130|~spl0_56),
% 62.82/8.32 inference(split_clause,[status(thm)],[f4877,f3398,f2966,f3756,f2976])).
% 62.82/8.32 fof(f4981,plain,(
% 62.82/8.32 spl0_192 <=> ~pd0_7(X1,X2)|pd0_9(sk0_100(X1,X2),X1,X2)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f4982,plain,(
% 62.82/8.32 ![X0,X1]: (~pd0_7(X0,X1)|pd0_9(sk0_100(X0,X1),X0,X1)|~spl0_192)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f4981])).
% 62.82/8.32 fof(f5011,plain,(
% 62.82/8.32 v_x=sk0_92|~spl0_169|~spl0_151),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f4755,f4323])).
% 62.82/8.32 fof(f5012,plain,(
% 62.82/8.32 $false|spl0_54|~spl0_169|~spl0_151),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f5011,f2968])).
% 62.82/8.32 fof(f5013,plain,(
% 62.82/8.32 spl0_54|~spl0_169|~spl0_151),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f5012])).
% 62.82/8.32 fof(f5018,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f4010])).
% 62.82/8.32 fof(f5028,plain,(
% 62.82/8.32 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))|v_x=sk0_92|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)=v_L|~spl0_41)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f3167,f3146])).
% 62.82/8.32 fof(f5029,plain,(
% 62.82/8.32 spl0_92|spl0_54|spl0_56|~spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5028,f3398,f2966,f2976,f2682])).
% 62.82/8.32 fof(f5040,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|~spl0_29),
% 62.82/8.32 inference(resolution,[status(thm)],[f2226,f2542])).
% 62.82/8.32 fof(f5043,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(X0,X1)),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2212,f4645])).
% 62.82/8.32 fof(f5053,plain,(
% 62.82/8.32 spl0_194 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5056,plain,(
% 62.82/8.32 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)=v_L|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4681,f2481])).
% 62.82/8.32 fof(f5057,plain,(
% 62.82/8.32 spl0_194|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5056,f5053,f2966,f2479])).
% 62.82/8.32 fof(f5058,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X2=X1|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4681,f4645])).
% 62.82/8.32 fof(f5062,plain,(
% 62.82/8.32 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2152,f2481])).
% 62.82/8.32 fof(f5063,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f2152,f4634])).
% 62.82/8.32 fof(f5078,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_29|spl0_25),
% 62.82/8.32 inference(resolution,[status(thm)],[f4108,f2481])).
% 62.82/8.32 fof(f5079,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_29),
% 62.82/8.32 inference(resolution,[status(thm)],[f4108,f4634])).
% 62.82/8.32 fof(f5082,plain,(
% 62.82/8.32 spl0_195 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5083,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|~spl0_195),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5082])).
% 62.82/8.32 fof(f5085,plain,(
% 62.82/8.32 sk0_91=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|~spl0_29),
% 62.82/8.32 inference(resolution,[status(thm)],[f5079,f2154])).
% 62.82/8.32 fof(f5086,plain,(
% 62.82/8.32 spl0_142|spl0_195|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5085,f4060,f5082,f2541])).
% 62.82/8.32 fof(f5087,plain,(
% 62.82/8.32 spl0_196 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5090,plain,(
% 62.82/8.32 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)=v_L|sk0_92=sk0_91|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5079,f4681])).
% 62.82/8.32 fof(f5091,plain,(
% 62.82/8.32 spl0_196|spl0_142|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5090,f5087,f4060,f2541])).
% 62.82/8.32 fof(f5092,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5079,f4010])).
% 62.82/8.32 fof(f5100,plain,(
% 62.82/8.32 spl0_197 <=> sk0_99(v_y,sk0_91)=sk0_91),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5101,plain,(
% 62.82/8.32 sk0_99(v_y,sk0_91)=sk0_91|~spl0_197),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5100])).
% 62.82/8.32 fof(f5103,plain,(
% 62.82/8.32 spl0_198 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),sk0_91),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5106,plain,(
% 62.82/8.32 sk0_99(v_y,sk0_91)=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),sk0_91),v_L)|spl0_72),
% 62.82/8.32 inference(resolution,[status(thm)],[f3243,f2154])).
% 62.82/8.32 fof(f5107,plain,(
% 62.82/8.32 spl0_197|spl0_198|spl0_72),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5106,f5100,f5103,f3241])).
% 62.82/8.32 fof(f5108,plain,(
% 62.82/8.32 spl0_199 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),sk0_91),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5111,plain,(
% 62.82/8.32 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),sk0_91),v_L)=v_L|sk0_91=sk0_99(v_y,sk0_91)|spl0_72)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3243,f4681])).
% 62.82/8.32 fof(f5112,plain,(
% 62.82/8.32 spl0_199|spl0_197|spl0_72),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5111,f5108,f5100,f3241])).
% 62.82/8.32 fof(f5115,plain,(
% 62.82/8.32 ~pd0_5(v_y,sk0_91)|pd0_7(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_197),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5101,f2212])).
% 62.82/8.32 fof(f5116,plain,(
% 62.82/8.32 ~spl0_87|spl0_71|spl0_115|~spl0_197),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5115,f3371,f3238,f3644,f5100])).
% 62.82/8.32 fof(f5156,plain,(
% 62.82/8.32 v_y=v_x|~spl0_85),
% 62.82/8.32 inference(resolution,[status(thm)],[f3366,f2234])).
% 62.82/8.32 fof(f5157,plain,(
% 62.82/8.32 spl0_22|~spl0_85),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5156,f2450,f3365])).
% 62.82/8.32 fof(f5161,plain,(
% 62.82/8.32 v_y=v_x|~spl0_33),
% 62.82/8.32 inference(resolution,[status(thm)],[f2612,f2243])).
% 62.82/8.32 fof(f5162,plain,(
% 62.82/8.32 spl0_22|~spl0_33),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5161,f2450,f2611])).
% 62.82/8.32 fof(f5163,plain,(
% 62.82/8.32 pd0_10(sk0_100(sk0_92,v_x),sk0_92,v_x)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_100(sk0_92,v_x)),v_L)|~spl0_47),
% 62.82/8.32 inference(resolution,[status(thm)],[f2726,f2241])).
% 62.82/8.32 fof(f5164,plain,(
% 62.82/8.32 spl0_42|~spl0_43|~spl0_47),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5163,f2705,f2708,f2725])).
% 62.82/8.32 fof(f5165,plain,(
% 62.82/8.32 pd0_10(sk0_100(sk0_92,v_x),sk0_92,v_x)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,v_x)),v_L)|~spl0_47),
% 62.82/8.32 inference(resolution,[status(thm)],[f2726,f2239])).
% 62.82/8.32 fof(f5166,plain,(
% 62.82/8.32 spl0_42|spl0_45|~spl0_47),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5165,f2705,f2717,f2725])).
% 62.82/8.32 fof(f5171,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_110),
% 62.82/8.32 inference(resolution,[status(thm)],[f3620,f2246])).
% 62.82/8.32 fof(f5172,plain,(
% 62.82/8.32 sk0_100(v_x,sk0_91)=v_y|~spl0_110),
% 62.82/8.32 inference(resolution,[status(thm)],[f3620,f2244])).
% 62.82/8.32 fof(f5174,plain,(
% 62.82/8.32 spl0_203 <=> pd0_9(v_y,v_x,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5175,plain,(
% 62.82/8.32 pd0_9(v_y,v_x,sk0_91)|~spl0_203),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5174])).
% 62.82/8.32 fof(f5177,plain,(
% 62.82/8.32 ~pd0_7(v_x,sk0_91)|pd0_9(v_y,v_x,sk0_91)|~spl0_192|~spl0_110),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5172,f4982])).
% 62.82/8.32 fof(f5178,plain,(
% 62.82/8.32 ~spl0_80|spl0_203|~spl0_192|~spl0_110),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5177,f3300,f5174,f4981,f3619])).
% 62.82/8.32 fof(f5180,plain,(
% 62.82/8.32 spl0_204 <=> pd0_10(v_y,v_x,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5181,plain,(
% 62.82/8.32 pd0_10(v_y,v_x,sk0_91)|~spl0_204),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5180])).
% 62.82/8.32 fof(f5183,plain,(
% 62.82/8.32 spl0_205 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5184,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_205),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5183])).
% 62.82/8.32 fof(f5186,plain,(
% 62.82/8.32 pd0_10(v_y,v_x,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_203),
% 62.82/8.32 inference(resolution,[status(thm)],[f5175,f2241])).
% 62.82/8.32 fof(f5187,plain,(
% 62.82/8.32 spl0_204|~spl0_205|~spl0_203),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5186,f5180,f5183,f5174])).
% 62.82/8.32 fof(f5188,plain,(
% 62.82/8.32 pd0_10(v_y,v_x,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_203),
% 62.82/8.32 inference(resolution,[status(thm)],[f5175,f2239])).
% 62.82/8.32 fof(f5189,plain,(
% 62.82/8.32 spl0_204|spl0_91|~spl0_203),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5188,f5180,f3391,f5174])).
% 62.82/8.32 fof(f5195,plain,(
% 62.82/8.32 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_99(sk0_92,sk0_91)),v_L)|spl0_116)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3657,f2152])).
% 62.82/8.32 fof(f5196,plain,(
% 62.82/8.32 spl0_206 <=> sk0_99(sk0_92,sk0_91)=sk0_91),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5197,plain,(
% 62.82/8.32 sk0_99(sk0_92,sk0_91)=sk0_91|~spl0_206),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5196])).
% 62.82/8.32 fof(f5212,plain,(
% 62.82/8.32 spl0_209 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5213,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_209)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5212])).
% 62.82/8.32 fof(f5215,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4612,f2542])).
% 62.82/8.32 fof(f5216,plain,(
% 62.82/8.32 spl0_209|spl0_138|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5215,f5212,f4024,f2541])).
% 62.82/8.32 fof(f5217,plain,(
% 62.82/8.32 pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_29),
% 62.82/8.32 inference(resolution,[status(thm)],[f2230,f2542])).
% 62.82/8.32 fof(f5218,plain,(
% 62.82/8.32 spl0_138|spl0_41|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5217,f4024,f2682,f2541])).
% 62.82/8.32 fof(f5232,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5063,f4010])).
% 62.82/8.32 fof(f5239,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_91),v_L)|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5232,f4108])).
% 62.82/8.32 fof(f5244,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5232,f4010])).
% 62.82/8.32 fof(f5315,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|sk0_91=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5239,f2154])).
% 62.82/8.32 fof(f5322,plain,(
% 62.82/8.32 spl0_211 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5346,plain,(
% 62.82/8.32 pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_138),
% 62.82/8.32 inference(resolution,[status(thm)],[f4025,f2241])).
% 62.82/8.32 fof(f5347,plain,(
% 62.82/8.32 spl0_144|~spl0_145|~spl0_138),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5346,f4087,f4090,f4024])).
% 62.82/8.32 fof(f5348,plain,(
% 62.82/8.32 pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_138),
% 62.82/8.32 inference(resolution,[status(thm)],[f4025,f2239])).
% 62.82/8.32 fof(f5349,plain,(
% 62.82/8.32 spl0_144|spl0_147|~spl0_138),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5348,f4087,f4103,f4024])).
% 62.82/8.32 fof(f5350,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_144),
% 62.82/8.32 inference(resolution,[status(thm)],[f4088,f2246])).
% 62.82/8.32 fof(f5352,plain,(
% 62.82/8.32 sk0_92=v_x|~spl0_144),
% 62.82/8.32 inference(resolution,[status(thm)],[f4088,f2243])).
% 62.82/8.32 fof(f5353,plain,(
% 62.82/8.32 spl0_54|~spl0_144),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5352,f2966,f4087])).
% 62.82/8.32 fof(f5389,plain,(
% 62.82/8.32 v_y=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_31|spl0_25),
% 62.82/8.32 inference(resolution,[status(thm)],[f3765,f2154])).
% 62.82/8.32 fof(f5390,plain,(
% 62.82/8.32 spl0_22|spl0_90|~spl0_31|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5389,f2450,f3382,f2555,f2479])).
% 62.82/8.32 fof(f5391,plain,(
% 62.82/8.32 spl0_214 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5406,plain,(
% 62.82/8.32 spl0_215 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5433,plain,(
% 62.82/8.32 c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)=v_L|~spl0_31|~spl0_130),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2556,f3757])).
% 62.82/8.32 fof(f5439,plain,(
% 62.82/8.32 spl0_217 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5446,plain,(
% 62.82/8.32 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))|v_x=v_y|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)=v_L|~spl0_31|~spl0_130)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5433,f3146])).
% 62.82/8.32 fof(f5447,plain,(
% 62.82/8.32 spl0_92|spl0_22|spl0_217|~spl0_31|~spl0_130),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5446,f3398,f2450,f5439,f2555,f3756])).
% 62.82/8.32 fof(f5458,plain,(
% 62.82/8.32 spl0_218 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5463,plain,(
% 62.82/8.32 spl0_219 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(v_y,sk0_91)),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5466,plain,(
% 62.82/8.32 ![X0]: (pd0_7(v_y,sk0_91)|c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(v_y,sk0_91)),v_L)=v_L|~spl0_87)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5043,f3372])).
% 62.82/8.32 fof(f5467,plain,(
% 62.82/8.32 spl0_71|spl0_219|~spl0_87),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5466,f3238,f5463,f3371])).
% 62.82/8.32 fof(f5469,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L)|~c_member(X4,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f4633,f5244])).
% 62.82/8.32 fof(f5471,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L)|c_Set_Oinsert(X4,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)=v_L)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4633,f4645])).
% 62.82/8.32 fof(f5481,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5,X6]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)|~c_member(X5,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X6),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5469,f4633])).
% 62.82/8.32 fof(f5482,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)|X1=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5469,f2154])).
% 62.82/8.32 fof(f5483,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)|c_Set_Oinsert(X5,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),v_L)=v_L|X4=X1)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5469,f4681])).
% 62.82/8.32 fof(f5489,plain,(
% 62.82/8.32 spl0_220 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5529,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),v_L)=v_L|X4=X1|X4=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X2),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5483,f2154])).
% 62.82/8.32 fof(f5541,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5,X6]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X2),v_L)=v_L|~c_member(X5,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X6),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5471,f4633])).
% 62.82/8.32 fof(f5542,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X2),v_L)=v_L|X1=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5471,f2154])).
% 62.82/8.32 fof(f5558,plain,(
% 62.82/8.32 spl0_221 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5559,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~spl0_221)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5558])).
% 62.82/8.32 fof(f5607,plain,(
% 62.82/8.32 spl0_222 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5608,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_222)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5607])).
% 62.82/8.32 fof(f5619,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(v_y,sk0_91)),v_L)|~spl0_31|spl0_148),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2556,f4199])).
% 62.82/8.32 fof(f5622,plain,(
% 62.82/8.32 spl0_223 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(v_y,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5625,plain,(
% 62.82/8.32 spl0_224 <=> v_x=sk0_97(v_y,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5626,plain,(
% 62.82/8.32 v_x=sk0_97(v_y,sk0_91)|~spl0_224),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5625])).
% 62.82/8.32 fof(f5631,plain,(
% 62.82/8.32 spl0_225 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5636,plain,(
% 62.82/8.32 spl0_226 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5639,plain,(
% 62.82/8.32 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),v_x),v_L)=v_L|v_x=sk0_97(v_y,sk0_91)|~spl0_31|spl0_148)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5619,f4681])).
% 62.82/8.32 fof(f5640,plain,(
% 62.82/8.32 spl0_226|spl0_224|~spl0_31|spl0_148),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5639,f5636,f5625,f2555,f4197])).
% 62.82/8.32 fof(f5645,plain,(
% 62.82/8.32 spl0_227 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5646,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_227)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f5645])).
% 62.82/8.32 fof(f5686,plain,(
% 62.82/8.32 sk0_99(v_y,sk0_91)=sk0_91|~spl0_31|~spl0_206),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2556,f5197])).
% 62.82/8.32 fof(f5687,plain,(
% 62.82/8.32 ~pd0_5(v_y,sk0_91)|pd0_7(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_31|~spl0_206),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5686,f2212])).
% 62.82/8.32 fof(f5688,plain,(
% 62.82/8.32 ~spl0_87|spl0_71|spl0_115|~spl0_31|~spl0_206),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5687,f3371,f3238,f3644,f2555,f5196])).
% 62.82/8.32 fof(f5707,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_115),
% 62.82/8.32 inference(resolution,[status(thm)],[f4248,f4634])).
% 62.82/8.32 fof(f5708,plain,(
% 62.82/8.32 ~spl0_30|~spl0_115),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5707,f2544,f3644])).
% 62.82/8.32 fof(f5714,plain,(
% 62.82/8.32 spl0_230 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5725,plain,(
% 62.82/8.32 spl0_231 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5736,plain,(
% 62.82/8.32 spl0_232 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5804,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),X3)=hAPP(X1,X3)|X2=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f630,f2639])).
% 62.82/8.32 fof(f5807,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),X3)=hAPP(X1,X3)|X2=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f630,f2154])).
% 62.82/8.32 fof(f5808,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),X3)=hAPP(X1,X3)|c_Set_Oinsert(X4,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)=v_L|X3=X2)),
% 62.82/8.32 inference(resolution,[status(thm)],[f630,f4681])).
% 62.82/8.32 fof(f5842,plain,(
% 62.82/8.32 v_x=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_109),
% 62.82/8.32 inference(resolution,[status(thm)],[f3615,f4634])).
% 62.82/8.32 fof(f5843,plain,(
% 62.82/8.32 spl0_46|~spl0_30|~spl0_109),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5842,f2722,f2544,f3614])).
% 62.82/8.32 fof(f5873,plain,(
% 62.82/8.32 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_99(v_y,sk0_91)),v_L)|~spl0_31|spl0_116)),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f2556,f5195])).
% 62.82/8.32 fof(f5879,plain,(
% 62.82/8.32 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~pd0_5(v_y,sk0_91)|pd0_7(v_y,sk0_91)|~spl0_31|spl0_116),
% 62.82/8.32 inference(resolution,[status(thm)],[f5873,f2212])).
% 62.82/8.32 fof(f5880,plain,(
% 62.82/8.32 ~spl0_30|~spl0_87|spl0_71|~spl0_31|spl0_116),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5879,f2544,f3371,f3238,f2555,f3655])).
% 62.82/8.32 fof(f5892,plain,(
% 62.82/8.32 ~spl0_115|~spl0_29|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5078,f3644,f2541,f2479])).
% 62.82/8.32 fof(f5894,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_224|~spl0_86),
% 62.82/8.32 inference(backward_demodulation,[status(thm)],[f5626,f3369])).
% 62.82/8.32 fof(f5906,plain,(
% 62.82/8.32 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|spl0_91)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3393,f4679])).
% 62.82/8.32 fof(f5907,plain,(
% 62.82/8.32 spl0_232|spl0_22|spl0_91),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5906,f5736,f2450,f3391])).
% 62.82/8.32 fof(f5908,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1|v_x=v_y|spl0_91)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3393,f5529])).
% 62.82/8.32 fof(f5909,plain,(
% 62.82/8.32 spl0_231|spl0_22|spl0_91),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5908,f5725,f2450,f3391])).
% 62.82/8.32 fof(f5910,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)=v_L|v_x=v_y|spl0_91)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3393,f5542])).
% 62.82/8.32 fof(f5911,plain,(
% 62.82/8.32 spl0_230|spl0_22|spl0_91),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5910,f5714,f2450,f3391])).
% 62.82/8.32 fof(f5914,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|v_x=v_y|spl0_91)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3393,f5482])).
% 62.82/8.32 fof(f5915,plain,(
% 62.82/8.32 spl0_221|spl0_22|spl0_91),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5914,f5558,f2450,f3391])).
% 62.82/8.32 fof(f5917,plain,(
% 62.82/8.32 v_y=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|spl0_91),
% 62.82/8.32 inference(resolution,[status(thm)],[f3393,f2154])).
% 62.82/8.32 fof(f5918,plain,(
% 62.82/8.32 spl0_22|spl0_90|spl0_91),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5917,f2450,f3382,f3391])).
% 62.82/8.32 fof(f5959,plain,(
% 62.82/8.32 spl0_235 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5973,plain,(
% 62.82/8.32 spl0_236 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_91),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5976,plain,(
% 62.82/8.32 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)=v_L|sk0_92=sk0_91|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_91),v_L)|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5092,f4679])).
% 62.82/8.32 fof(f5977,plain,(
% 62.82/8.32 spl0_236|spl0_142|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5976,f5973,f4060,f2541])).
% 62.82/8.32 fof(f5978,plain,(
% 62.82/8.32 spl0_237 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_91),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)=v_L|sk0_92=X1),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5981,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_91),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)=v_L|sk0_92=X1|sk0_92=sk0_91|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5092,f5529])).
% 62.82/8.32 fof(f5982,plain,(
% 62.82/8.32 spl0_237|spl0_142|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5981,f5978,f4060,f2541])).
% 62.82/8.32 fof(f5983,plain,(
% 62.82/8.32 spl0_238 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5986,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)=v_L|sk0_92=sk0_91|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5092,f5542])).
% 62.82/8.32 fof(f5987,plain,(
% 62.82/8.32 spl0_238|spl0_142|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5986,f5983,f4060,f2541])).
% 62.82/8.32 fof(f5990,plain,(
% 62.82/8.32 spl0_239 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_91),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f5993,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_91),v_L)|sk0_92=sk0_91|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5092,f5482])).
% 62.82/8.32 fof(f5994,plain,(
% 62.82/8.32 spl0_239|spl0_142|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f5993,f5990,f4060,f2541])).
% 62.82/8.32 fof(f6002,plain,(
% 62.82/8.32 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~spl0_222)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5608,f4679])).
% 62.82/8.32 fof(f6003,plain,(
% 62.82/8.32 spl0_232|spl0_22|~spl0_222),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6002,f5736,f2450,f5607])).
% 62.82/8.32 fof(f6004,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1|v_x=v_y|~spl0_222)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5608,f5529])).
% 62.82/8.32 fof(f6005,plain,(
% 62.82/8.32 spl0_231|spl0_22|~spl0_222),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6004,f5725,f2450,f5607])).
% 62.82/8.32 fof(f6006,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)=v_L|v_x=v_y|~spl0_222)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5608,f5542])).
% 62.82/8.32 fof(f6007,plain,(
% 62.82/8.32 spl0_230|spl0_22|~spl0_222),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6006,f5714,f2450,f5607])).
% 62.82/8.32 fof(f6010,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|v_x=v_y|~spl0_222)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5608,f5482])).
% 62.82/8.32 fof(f6011,plain,(
% 62.82/8.32 spl0_221|spl0_22|~spl0_222),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6010,f5558,f2450,f5607])).
% 62.82/8.32 fof(f6013,plain,(
% 62.82/8.32 v_y=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_222),
% 62.82/8.32 inference(resolution,[status(thm)],[f5608,f2154])).
% 62.82/8.32 fof(f6014,plain,(
% 62.82/8.32 spl0_22|spl0_90|~spl0_222),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6013,f2450,f3382,f5607])).
% 62.82/8.32 fof(f6015,plain,(
% 62.82/8.32 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)=v_L|v_x=v_y|~spl0_222)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5608,f4681])).
% 62.82/8.32 fof(f6016,plain,(
% 62.82/8.32 spl0_214|spl0_22|~spl0_222),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6015,f5391,f2450,f5607])).
% 62.82/8.32 fof(f6019,plain,(
% 62.82/8.32 spl0_240 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6022,plain,(
% 62.82/8.32 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=sk0_92|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f4679])).
% 62.82/8.32 fof(f6023,plain,(
% 62.82/8.32 spl0_240|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6022,f6019,f2966,f2479])).
% 62.82/8.32 fof(f6024,plain,(
% 62.82/8.32 spl0_241 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6027,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f5529])).
% 62.82/8.32 fof(f6028,plain,(
% 62.82/8.32 spl0_241|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6027,f6024,f2966,f2479])).
% 62.82/8.32 fof(f6029,plain,(
% 62.82/8.32 spl0_242 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6032,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)=v_L|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f5542])).
% 62.82/8.32 fof(f6033,plain,(
% 62.82/8.32 spl0_242|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6032,f6029,f2966,f2479])).
% 62.82/8.32 fof(f6036,plain,(
% 62.82/8.32 spl0_243 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6039,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2481,f5482])).
% 62.82/8.32 fof(f6040,plain,(
% 62.82/8.32 spl0_243|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6039,f6036,f2966,f2479])).
% 62.82/8.32 fof(f6057,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_91)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3392,f5244])).
% 62.82/8.32 fof(f6076,plain,(
% 62.82/8.32 spl0_247 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6082,plain,(
% 62.82/8.32 spl0_248 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6083,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_248)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6082])).
% 62.82/8.32 fof(f6182,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)|~c_member(X5,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X1),v_L)|~c_member(X7,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X6),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5481,f4010])).
% 62.82/8.32 fof(f6183,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_41)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6182,f2683])).
% 62.82/8.32 fof(f6184,plain,(
% 62.82/8.32 spl0_247|~spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6183,f6076,f2682])).
% 62.82/8.32 fof(f6281,plain,(
% 62.82/8.32 spl0_251 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_92)=hAPP(X1,sk0_92)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6282,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_92)=hAPP(X1,sk0_92)|~spl0_251)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6281])).
% 62.82/8.32 fof(f6284,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_92)=hAPP(X1,sk0_92)|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5807,f2481])).
% 62.82/8.32 fof(f6285,plain,(
% 62.82/8.32 spl0_251|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6284,f6281,f2966,f2479])).
% 62.82/8.32 fof(f6286,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),X3)=hAPP(X1,X3)|X2=X3|hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X4,X5,v_L,X3),X2)=hAPP(X5,X2))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5807,f630])).
% 62.82/8.32 fof(f6287,plain,(
% 62.82/8.32 spl0_252 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),sk0_91)=hAPP(X1,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6290,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),sk0_91)=hAPP(X1,sk0_91)|sk0_92=sk0_91|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5807,f5092])).
% 62.82/8.32 fof(f6291,plain,(
% 62.82/8.32 spl0_252|spl0_142|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6290,f6287,f4060,f2541])).
% 62.82/8.32 fof(f6306,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),X3)=hAPP(X1,X3)|X2=X3|~c_member(X4,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5807,f5244])).
% 62.82/8.32 fof(f6319,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),X3)=hAPP(X1,X3)|X2=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)|X4=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5804,f2154])).
% 62.82/8.32 fof(f6352,plain,(
% 62.82/8.32 spl0_253 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_y),v_x)=hAPP(X1,v_x)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6355,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_y),v_x)=hAPP(X1,v_x)|v_y=v_x|~spl0_248)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6083,f5807])).
% 62.82/8.32 fof(f6356,plain,(
% 62.82/8.32 spl0_253|spl0_22|~spl0_248),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6355,f6352,f2450,f6082])).
% 62.82/8.32 fof(f6358,plain,(
% 62.82/8.32 spl0_254 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6361,plain,(
% 62.82/8.32 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)=v_L|v_y=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~spl0_248)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6083,f4679])).
% 62.82/8.32 fof(f6362,plain,(
% 62.82/8.32 spl0_254|spl0_22|~spl0_248),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6361,f6358,f2450,f6082])).
% 62.82/8.32 fof(f6363,plain,(
% 62.82/8.32 spl0_255 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)=v_L|v_y=X1),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6366,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)=v_L|v_y=X1|v_y=v_x|~spl0_248)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6083,f5529])).
% 62.82/8.32 fof(f6367,plain,(
% 62.82/8.32 spl0_255|spl0_22|~spl0_248),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6366,f6363,f2450,f6082])).
% 62.82/8.32 fof(f6368,plain,(
% 62.82/8.32 spl0_256 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6371,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)=v_L|v_y=v_x|~spl0_248)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6083,f5542])).
% 62.82/8.32 fof(f6372,plain,(
% 62.82/8.32 spl0_256|spl0_22|~spl0_248),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6371,f6368,f2450,f6082])).
% 62.82/8.32 fof(f6375,plain,(
% 62.82/8.32 spl0_257 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6376,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~spl0_257)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6375])).
% 62.82/8.32 fof(f6378,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|v_y=v_x|~spl0_248)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6083,f5482])).
% 62.82/8.32 fof(f6379,plain,(
% 62.82/8.32 spl0_257|spl0_22|~spl0_248),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6378,f6375,f2450,f6082])).
% 62.82/8.32 fof(f6381,plain,(
% 62.82/8.32 v_x=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_248),
% 62.82/8.32 inference(resolution,[status(thm)],[f6083,f2154])).
% 62.82/8.32 fof(f6382,plain,(
% 62.82/8.32 spl0_22|spl0_91|~spl0_248),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6381,f2450,f3391,f6082])).
% 62.82/8.32 fof(f6383,plain,(
% 62.82/8.32 spl0_258 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6386,plain,(
% 62.82/8.32 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)=v_L|v_y=v_x|~spl0_248)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6083,f4681])).
% 62.82/8.32 fof(f6387,plain,(
% 62.82/8.32 spl0_258|spl0_22|~spl0_248),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6386,f6383,f2450,f6082])).
% 62.82/8.32 fof(f6389,plain,(
% 62.82/8.32 spl0_248|~spl0_91),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6057,f6082,f3391])).
% 62.82/8.32 fof(f6390,plain,(
% 62.82/8.32 spl0_259 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),v_y)=hAPP(X1,v_y)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6440,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5040,f6182])).
% 62.82/8.32 fof(f6441,plain,(
% 62.82/8.32 spl0_211|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6440,f5322,f2541])).
% 62.82/8.32 fof(f6453,plain,(
% 62.82/8.32 $false|~spl0_248|~spl0_224|~spl0_86),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f5894,f6083])).
% 62.82/8.32 fof(f6454,plain,(
% 62.82/8.32 ~spl0_248|~spl0_224|~spl0_86),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f6453])).
% 62.82/8.32 fof(f6495,plain,(
% 62.82/8.32 spl0_260 <=> c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6505,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_30)),
% 62.82/8.32 inference(resolution,[status(thm)],[f2545,f6182])).
% 62.82/8.32 fof(f6506,plain,(
% 62.82/8.32 spl0_227|~spl0_30),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6505,f5645,f2544])).
% 62.82/8.32 fof(f6519,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),v_y)=hAPP(X1,v_y)|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3383,f630])).
% 62.82/8.32 fof(f6527,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3383,f6182])).
% 62.82/8.32 fof(f6528,plain,(
% 62.82/8.32 spl0_222|~spl0_90),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6527,f5607,f3382])).
% 62.82/8.32 fof(f6560,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|v_y=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|~spl0_221)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5559,f2154])).
% 62.82/8.32 fof(f6565,plain,(
% 62.82/8.32 spl0_261 <=> sk0_99(sk0_92,sk0_91)=v_x),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6566,plain,(
% 62.82/8.32 sk0_99(sk0_92,sk0_91)=v_x|~spl0_261),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6565])).
% 62.82/8.32 fof(f6567,plain,(
% 62.82/8.32 ~sk0_99(sk0_92,sk0_91)=v_x|spl0_261),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6565])).
% 62.82/8.32 fof(f6575,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),v_x),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),v_x),v_L)|~spl0_117)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3661,f6182])).
% 62.82/8.32 fof(f6576,plain,(
% 62.82/8.32 spl0_235|~spl0_117),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6575,f5959,f3660])).
% 62.82/8.32 fof(f6589,plain,(
% 62.82/8.32 ~pd0_5(sk0_92,sk0_91)|pd0_7(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_261),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f6566,f2212])).
% 62.82/8.32 fof(f6590,plain,(
% 62.82/8.32 ~spl0_23|spl0_29|spl0_28|~spl0_261),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6589,f2470,f2541,f2531,f6565])).
% 62.82/8.32 fof(f6601,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~spl0_257)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6376,f2154])).
% 62.82/8.32 fof(f6630,plain,(
% 62.82/8.32 spl0_262 <=> sk0_99(v_y,sk0_91)=v_x),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6631,plain,(
% 62.82/8.32 sk0_99(v_y,sk0_91)=v_x|~spl0_262),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6630])).
% 62.82/8.32 fof(f6640,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),v_x),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),v_x),v_L)|~spl0_73)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3247,f6182])).
% 62.82/8.32 fof(f6641,plain,(
% 62.82/8.32 spl0_218|~spl0_73),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6640,f5458,f3246])).
% 62.82/8.32 fof(f6683,plain,(
% 62.82/8.32 spl0_263 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_92)=hAPP(X1,sk0_92)|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6686,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_92)=hAPP(X1,sk0_92)|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)|v_x=sk0_92|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6319,f5018])).
% 62.82/8.32 fof(f6687,plain,(
% 62.82/8.32 spl0_263|spl0_54|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6686,f6683,f2966,f2479])).
% 62.82/8.32 fof(f6688,plain,(
% 62.82/8.32 spl0_264 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_y)=hAPP(X1,v_y)|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6689,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_y)=hAPP(X1,v_y)|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)|~spl0_264)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6688])).
% 62.82/8.32 fof(f6693,plain,(
% 62.82/8.32 spl0_265 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_91)=hAPP(X1,sk0_91)|X2=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6696,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_91)=hAPP(X1,sk0_91)|X2=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)|sk0_92=sk0_91|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6319,f5092])).
% 62.82/8.32 fof(f6697,plain,(
% 62.82/8.32 spl0_265|spl0_142|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6696,f6693,f4060,f2541])).
% 62.82/8.32 fof(f6755,plain,(
% 62.82/8.32 ~pd0_5(v_y,sk0_91)|pd0_7(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_262),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f6631,f2212])).
% 62.82/8.32 fof(f6756,plain,(
% 62.82/8.32 ~spl0_87|spl0_71|spl0_28|~spl0_262),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6755,f3371,f3238,f2531,f6630])).
% 62.82/8.32 fof(f6757,plain,(
% 62.82/8.32 sk0_91=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_29|~spl0_41),
% 62.82/8.32 inference(resolution,[status(thm)],[f5315,f2683])).
% 62.82/8.32 fof(f6758,plain,(
% 62.82/8.32 spl0_24|spl0_30|~spl0_29|~spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6757,f2473,f2544,f2541,f2682])).
% 62.82/8.32 fof(f6785,plain,(
% 62.82/8.32 ![X0,X1]: (sk0_92=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|spl0_25)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4310,f4010])).
% 62.82/8.32 fof(f6801,plain,(
% 62.82/8.32 spl0_266 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6802,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|~spl0_266),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6801])).
% 62.82/8.32 fof(f6804,plain,(
% 62.82/8.32 v_y=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|~spl0_257|~spl0_90),
% 62.82/8.32 inference(resolution,[status(thm)],[f6601,f3383])).
% 62.82/8.32 fof(f6805,plain,(
% 62.82/8.32 spl0_13|spl0_266|~spl0_257|~spl0_90),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6804,f2394,f6801,f6375,f3382])).
% 62.82/8.32 fof(f6806,plain,(
% 62.82/8.32 sk0_91=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_257|~spl0_30),
% 62.82/8.32 inference(resolution,[status(thm)],[f6601,f2545])).
% 62.82/8.32 fof(f6807,plain,(
% 62.82/8.32 spl0_26|spl0_205|~spl0_257|~spl0_30),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6806,f2484,f5183,f6375,f2544])).
% 62.82/8.32 fof(f6808,plain,(
% 62.82/8.32 spl0_267 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6809,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_267),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6808])).
% 62.82/8.32 fof(f6811,plain,(
% 62.82/8.32 sk0_92=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_257|~spl0_41),
% 62.82/8.32 inference(resolution,[status(thm)],[f6601,f2683])).
% 62.82/8.32 fof(f6812,plain,(
% 62.82/8.32 spl0_31|spl0_267|~spl0_257|~spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6811,f2555,f6808,f6375,f2682])).
% 62.82/8.32 fof(f6826,plain,(
% 62.82/8.32 $false|~spl0_266),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f6802,f4634])).
% 62.82/8.32 fof(f6827,plain,(
% 62.82/8.32 ~spl0_266),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f6826])).
% 62.82/8.32 fof(f6831,plain,(
% 62.82/8.32 sk0_91=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_267|~spl0_29),
% 62.82/8.32 inference(resolution,[status(thm)],[f6809,f5315])).
% 62.82/8.32 fof(f6832,plain,(
% 62.82/8.32 spl0_26|spl0_205|~spl0_267|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6831,f2484,f5183,f6808,f2541])).
% 62.82/8.32 fof(f6833,plain,(
% 62.82/8.32 spl0_268 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6834,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_268)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f6833])).
% 62.82/8.32 fof(f6836,plain,(
% 62.82/8.32 spl0_269 <=> c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6846,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_267)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6809,f6182])).
% 62.82/8.32 fof(f6847,plain,(
% 62.82/8.32 spl0_268|~spl0_267),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6846,f6833,f6808])).
% 62.82/8.32 fof(f6863,plain,(
% 62.82/8.32 spl0_270 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f6872,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_91),v_L)|~c_member(X4,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|~spl0_205)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5184,f6182])).
% 62.82/8.32 fof(f6873,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|~spl0_205)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5184,f6182])).
% 62.82/8.32 fof(f6874,plain,(
% 62.82/8.32 spl0_270|~spl0_205),
% 62.82/8.32 inference(split_clause,[status(thm)],[f6873,f6863,f5183])).
% 62.82/8.32 fof(f6910,plain,(
% 62.82/8.32 ![X0]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|sk0_91=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4108,f2154])).
% 62.82/8.32 fof(f6971,plain,(
% 62.82/8.32 ![X0,X1,X2]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X1,X2,v_L,X0),v_y)=hAPP(X2,v_y)|X0=v_y|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4235,f5807])).
% 62.82/8.32 fof(f6980,plain,(
% 62.82/8.32 ![X0]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|v_y=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4235,f2154])).
% 62.82/8.32 fof(f6981,plain,(
% 62.82/8.32 ![X0,X1]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)=v_L|X0=v_y|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4235,f4681])).
% 62.82/8.32 fof(f6982,plain,(
% 62.82/8.32 ![X0,X1]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4235,f4010])).
% 62.82/8.32 fof(f7005,plain,(
% 62.82/8.32 spl0_271 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7008,plain,(
% 62.82/8.32 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)=v_L|sk0_92=v_y|sk0_91=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_90|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6981,f5315])).
% 62.82/8.32 fof(f7009,plain,(
% 62.82/8.32 spl0_271|spl0_31|spl0_24|spl0_30|~spl0_90|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7008,f7005,f2555,f2473,f2544,f3382,f2541])).
% 62.82/8.32 fof(f7052,plain,(
% 62.82/8.32 spl0_273 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),v_y)=hAPP(X1,v_y)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7098,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),v_y)=hAPP(X1,v_y)|sk0_92=v_y|sk0_91=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_90|~spl0_29)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6971,f5315])).
% 62.82/8.32 fof(f7099,plain,(
% 62.82/8.32 spl0_273|spl0_31|spl0_24|spl0_30|~spl0_90|~spl0_29),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7098,f7052,f2555,f2473,f2544,f3382,f2541])).
% 62.82/8.32 fof(f7127,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),v_y)=hAPP(X1,v_y)|v_x=v_y|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6971,f4634])).
% 62.82/8.32 fof(f7128,plain,(
% 62.82/8.32 spl0_259|spl0_22|~spl0_90),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7127,f6390,f2450,f3382])).
% 62.82/8.32 fof(f7154,plain,(
% 62.82/8.32 spl0_274 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_97(sk0_92,sk0_91))=hAPP(X1,sk0_97(sk0_92,sk0_91))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7157,plain,(
% 62.82/8.32 spl0_275 <=> v_x=sk0_97(sk0_92,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7158,plain,(
% 62.82/8.32 v_x=sk0_97(sk0_92,sk0_91)|~spl0_275),
% 62.82/8.32 inference(component_clause,[status(thm)],[f7157])).
% 62.82/8.32 fof(f7160,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_97(sk0_92,sk0_91))=hAPP(X1,sk0_97(sk0_92,sk0_91))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)|v_x=sk0_97(sk0_92,sk0_91)|spl0_148)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4199,f6319])).
% 62.82/8.32 fof(f7161,plain,(
% 62.82/8.32 spl0_274|spl0_275|spl0_148),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7160,f7154,f7157,f4197])).
% 62.82/8.32 fof(f7162,plain,(
% 62.82/8.32 spl0_276 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_97(sk0_92,sk0_91))=hAPP(X1,sk0_97(sk0_92,sk0_91))),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7165,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_97(sk0_92,sk0_91))=hAPP(X1,sk0_97(sk0_92,sk0_91))|v_x=sk0_97(sk0_92,sk0_91)|spl0_148)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4199,f5807])).
% 62.82/8.32 fof(f7166,plain,(
% 62.82/8.32 spl0_276|spl0_275|spl0_148),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7165,f7162,f7157,f4197])).
% 62.82/8.32 fof(f7168,plain,(
% 62.82/8.32 spl0_277 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7171,plain,(
% 62.82/8.32 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=sk0_97(sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,sk0_91)),v_L)|spl0_148)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4199,f4679])).
% 62.82/8.32 fof(f7172,plain,(
% 62.82/8.32 spl0_277|spl0_275|spl0_148),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7171,f7168,f7157,f4197])).
% 62.82/8.32 fof(f7173,plain,(
% 62.82/8.32 spl0_278 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,sk0_91)),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7176,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,sk0_91)),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1|v_x=sk0_97(sk0_92,sk0_91)|spl0_148)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4199,f5529])).
% 62.82/8.32 fof(f7177,plain,(
% 62.82/8.32 spl0_278|spl0_275|spl0_148),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7176,f7173,f7157,f4197])).
% 62.82/8.32 fof(f7178,plain,(
% 62.82/8.32 spl0_279 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,sk0_91),X1),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7181,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,sk0_91),X1),v_L)=v_L|v_x=sk0_97(sk0_92,sk0_91)|spl0_148)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4199,f5542])).
% 62.82/8.32 fof(f7182,plain,(
% 62.82/8.32 spl0_279|spl0_275|spl0_148),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7181,f7178,f7157,f4197])).
% 62.82/8.32 fof(f7185,plain,(
% 62.82/8.32 spl0_280 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7188,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(sk0_92,sk0_91)),v_L)|v_x=sk0_97(sk0_92,sk0_91)|spl0_148)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4199,f5482])).
% 62.82/8.32 fof(f7189,plain,(
% 62.82/8.32 spl0_280|spl0_275|spl0_148),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7188,f7185,f7157,f4197])).
% 62.82/8.32 fof(f7191,plain,(
% 62.82/8.32 spl0_281 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,sk0_91),v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7194,plain,(
% 62.82/8.32 sk0_97(sk0_92,sk0_91)=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,sk0_91),v_x),v_L)|spl0_148),
% 62.82/8.32 inference(resolution,[status(thm)],[f4199,f2154])).
% 62.82/8.32 fof(f7195,plain,(
% 62.82/8.32 spl0_275|spl0_281|spl0_148),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7194,f7157,f7191,f4197])).
% 62.82/8.32 fof(f7196,plain,(
% 62.82/8.32 spl0_282 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,sk0_91),v_x),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7199,plain,(
% 62.82/8.32 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,sk0_91),v_x),v_L)=v_L|v_x=sk0_97(sk0_92,sk0_91)|spl0_148)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4199,f4681])).
% 62.82/8.32 fof(f7200,plain,(
% 62.82/8.32 spl0_282|spl0_275|spl0_148),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7199,f7196,f7157,f4197])).
% 62.82/8.32 fof(f7221,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L)=v_L|~c_member(X4,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5541,f3383])).
% 62.82/8.32 fof(f7241,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X2),v_L)=v_L|~c_member(X5,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X1),v_L)|~c_member(X7,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X6),v_L))),
% 62.82/8.32 inference(resolution,[status(thm)],[f5541,f4010])).
% 62.82/8.32 fof(f7507,plain,(
% 62.82/8.32 spl0_287 <=> sk0_92=sk0_92),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7510,plain,(
% 62.82/8.32 spl0_288 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7511,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_92),v_L)|~spl0_288),
% 62.82/8.32 inference(component_clause,[status(thm)],[f7510])).
% 62.82/8.32 fof(f7544,plain,(
% 62.82/8.32 $false|~spl0_288),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f7511,f4634])).
% 62.82/8.32 fof(f7545,plain,(
% 62.82/8.32 ~spl0_288),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f7544])).
% 62.82/8.32 fof(f7607,plain,(
% 62.82/8.32 spl0_289 <=> ~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X2),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7614,plain,(
% 62.82/8.32 spl0_290 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7615,plain,(
% 62.82/8.32 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_290),
% 62.82/8.32 inference(component_clause,[status(thm)],[f7614])).
% 62.82/8.32 fof(f7621,plain,(
% 62.82/8.32 spl0_291 <=> ~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7632,plain,(
% 62.82/8.32 spl0_292 <=> ~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L)|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X2),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7664,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_y)=hAPP(X1,v_y)|X2=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)|~spl0_290)),
% 62.82/8.32 inference(resolution,[status(thm)],[f7615,f5804])).
% 62.82/8.32 fof(f7674,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)|~c_member(X4,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|~spl0_290)),
% 62.82/8.32 inference(resolution,[status(thm)],[f7615,f6182])).
% 62.82/8.32 fof(f7675,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_290)),
% 62.82/8.32 inference(resolution,[status(thm)],[f7615,f6182])).
% 62.82/8.32 fof(f7676,plain,(
% 62.82/8.32 spl0_291|~spl0_290),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7675,f7621,f7614])).
% 62.82/8.32 fof(f7693,plain,(
% 62.82/8.32 sk0_91=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_29|spl0_25),
% 62.82/8.32 inference(resolution,[status(thm)],[f6910,f5018])).
% 62.82/8.32 fof(f7694,plain,(
% 62.82/8.32 spl0_24|spl0_30|~spl0_29|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7693,f2473,f2544,f2541,f2479])).
% 62.82/8.32 fof(f7699,plain,(
% 62.82/8.32 sk0_91=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|v_y=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_29|~spl0_221),
% 62.82/8.32 inference(resolution,[status(thm)],[f6910,f6560])).
% 62.82/8.32 fof(f7700,plain,(
% 62.82/8.32 spl0_24|spl0_30|spl0_31|spl0_290|~spl0_29|~spl0_221),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7699,f2473,f2544,f2555,f7614,f2541,f5558])).
% 62.82/8.32 fof(f7737,plain,(
% 62.82/8.32 spl0_294 <=> hAPP(X0,sk0_92)=hAPP(X0,sk0_92)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7740,plain,(
% 62.82/8.32 spl0_295 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X1,X2,v_L,sk0_92),v_x)=hAPP(X2,v_x)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7758,plain,(
% 62.82/8.32 spl0_296 <=> hAPP(X0,v_x)=hAPP(X0,v_x)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7761,plain,(
% 62.82/8.32 spl0_297 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X1,X2,v_L,v_x),sk0_99(sk0_92,sk0_91))=hAPP(X2,sk0_99(sk0_92,sk0_91))),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7792,plain,(
% 62.82/8.32 spl0_299 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_91)=hAPP(X1,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7795,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_91)=hAPP(X1,sk0_91)|v_x=sk0_91|~spl0_30)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6306,f2545])).
% 62.82/8.32 fof(f7796,plain,(
% 62.82/8.32 spl0_299|spl0_24|~spl0_30),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7795,f7792,f2473,f2544])).
% 62.82/8.32 fof(f7799,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_92)=hAPP(X1,sk0_92)|v_x=sk0_92|~spl0_41)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6306,f2683])).
% 62.82/8.32 fof(f7800,plain,(
% 62.82/8.32 spl0_251|spl0_54|~spl0_41),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7799,f6281,f2966,f2682])).
% 62.82/8.32 fof(f7830,plain,(
% 62.82/8.32 spl0_300 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7844,plain,(
% 62.82/8.32 spl0_302 <=> X1=X2|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X2=X1),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7847,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))|X1=X2|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X2=X1)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5058,f3146])).
% 62.82/8.32 fof(f7848,plain,(
% 62.82/8.32 spl0_92|spl0_302),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7847,f3398,f7844])).
% 62.82/8.32 fof(f7849,plain,(
% 62.82/8.32 spl0_303 <=> c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)=v_L|X4=X3),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7852,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L),v_L)|X1=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)=v_L|X4=X3)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5058,f3146])).
% 62.82/8.32 fof(f7853,plain,(
% 62.82/8.32 spl0_133|spl0_303),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7852,f3861,f7849])).
% 62.82/8.32 fof(f7854,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L))|X1=X0|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)=v_L|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)=v_L|X4=X3)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5058,f3145])).
% 62.82/8.32 fof(f7855,plain,(
% 62.82/8.32 spl0_93|spl0_303),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7854,f3403,f7849])).
% 62.82/8.32 fof(f7857,plain,(
% 62.82/8.32 spl0_304 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,v_L),c_Set_Oinsert(X0,X1,v_L))),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7858,plain,(
% 62.82/8.32 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,v_L),c_Set_Oinsert(X0,X1,v_L))|~spl0_304)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f7857])).
% 62.82/8.32 fof(f7860,plain,(
% 62.82/8.32 ![X0,X1,X2,X3,X4]: (c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,v_L),c_Set_Oinsert(X0,X1,v_L))|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)=v_L|X4=X3)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5058,f3141])).
% 62.82/8.32 fof(f7861,plain,(
% 62.82/8.32 spl0_304|spl0_303),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7860,f7857,f7849])).
% 62.82/8.32 fof(f7864,plain,(
% 62.82/8.32 spl0_305 <=> c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),v_L,v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7865,plain,(
% 62.82/8.32 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),v_L,v_L)|~spl0_305)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f7864])).
% 62.82/8.32 fof(f7867,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),v_L,v_L)|c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)=v_L|X3=X2)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5058,f1906])).
% 62.82/8.32 fof(f7868,plain,(
% 62.82/8.32 spl0_305|spl0_303),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7867,f7864,f7849])).
% 62.82/8.32 fof(f7869,plain,(
% 62.82/8.32 spl0_306 <=> X0=X0|c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f7872,plain,(
% 62.82/8.32 ![X0,X1]: (X0=X0|~v_L=v_L|c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)=v_L)),
% 62.82/8.32 inference(equality_factoring,[status(esa)],[f5058])).
% 62.82/8.32 fof(f7873,plain,(
% 62.82/8.32 spl0_306|~spl0_52),
% 62.82/8.32 inference(split_clause,[status(thm)],[f7872,f7869,f2788])).
% 62.82/8.32 fof(f7901,plain,(
% 62.82/8.32 spl0_307 <=> X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8066,plain,(
% 62.82/8.32 ![X0,X1]: (v_y=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6980,f4645])).
% 62.82/8.32 fof(f8141,plain,(
% 62.82/8.32 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))|v_x=v_y|c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)=v_L|~spl0_90)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f4236,f3146])).
% 62.82/8.32 fof(f8142,plain,(
% 62.82/8.32 spl0_92|spl0_22|spl0_217|~spl0_90),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8141,f3398,f2450,f5439,f3382])).
% 62.82/8.32 fof(f8153,plain,(
% 62.82/8.32 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Set_Oinsert(X0,X1,v_L),c_Set_Oinsert(X0,X1,v_L))|~spl0_305)),
% 62.82/8.32 inference(resolution,[status(thm)],[f7865,f1902])).
% 62.82/8.32 fof(f8154,plain,(
% 62.82/8.32 ![X0,X1]: (c_member(X0,X1,c_Set_Oinsert(X0,X1,v_L))|~spl0_304)),
% 62.82/8.32 inference(resolution,[status(thm)],[f7858,f1977])).
% 62.82/8.32 fof(f8169,plain,(
% 62.82/8.32 ![X0,X1,X2,X3]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)=v_L|X1=X2|~spl0_304)),
% 62.82/8.32 inference(paramodulation,[status(thm)],[f5058,f8154])).
% 62.82/8.32 fof(f8218,plain,(
% 62.82/8.32 spl0_310 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8263,plain,(
% 62.82/8.32 $false|~spl0_209|~spl0_30),
% 62.82/8.32 inference(backward_subsumption_resolution,[status(thm)],[f2545,f5213])).
% 62.82/8.32 fof(f8264,plain,(
% 62.82/8.32 ~spl0_209|~spl0_30),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f8263])).
% 62.82/8.32 fof(f8265,plain,(
% 62.82/8.32 spl0_311 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_97(v_y,sk0_91))=hAPP(X1,sk0_97(v_y,sk0_91))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8268,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_97(v_y,sk0_91))=hAPP(X1,sk0_97(v_y,sk0_91))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)|v_x=sk0_97(v_y,sk0_91)|spl0_150)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4280,f6319])).
% 62.82/8.32 fof(f8269,plain,(
% 62.82/8.32 spl0_311|spl0_224|spl0_150),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8268,f8265,f5625,f4278])).
% 62.82/8.32 fof(f8270,plain,(
% 62.82/8.32 spl0_312 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_97(v_y,sk0_91))=hAPP(X1,sk0_97(v_y,sk0_91))),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8273,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_97(v_y,sk0_91))=hAPP(X1,sk0_97(v_y,sk0_91))|v_x=sk0_97(v_y,sk0_91)|spl0_150)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4280,f5807])).
% 62.82/8.32 fof(f8274,plain,(
% 62.82/8.32 spl0_312|spl0_224|spl0_150),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8273,f8270,f5625,f4278])).
% 62.82/8.32 fof(f8276,plain,(
% 62.82/8.32 spl0_313 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(v_y,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8279,plain,(
% 62.82/8.32 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=sk0_97(v_y,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(v_y,sk0_91)),v_L)|spl0_150)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4280,f4679])).
% 62.82/8.32 fof(f8280,plain,(
% 62.82/8.32 spl0_313|spl0_224|spl0_150),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8279,f8276,f5625,f4278])).
% 62.82/8.32 fof(f8281,plain,(
% 62.82/8.32 spl0_314 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(v_y,sk0_91)),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8284,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(v_y,sk0_91)),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1|v_x=sk0_97(v_y,sk0_91)|spl0_150)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4280,f5529])).
% 62.82/8.32 fof(f8285,plain,(
% 62.82/8.32 spl0_314|spl0_224|spl0_150),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8284,f8281,f5625,f4278])).
% 62.82/8.32 fof(f8286,plain,(
% 62.82/8.32 spl0_315 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),X1),v_L)=v_L),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8289,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),X1),v_L)=v_L|v_x=sk0_97(v_y,sk0_91)|spl0_150)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4280,f5542])).
% 62.82/8.32 fof(f8290,plain,(
% 62.82/8.32 spl0_315|spl0_224|spl0_150),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8289,f8286,f5625,f4278])).
% 62.82/8.32 fof(f8293,plain,(
% 62.82/8.32 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_97(v_y,sk0_91)),v_L)|v_x=sk0_97(v_y,sk0_91)|spl0_150)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4280,f5482])).
% 62.82/8.32 fof(f8294,plain,(
% 62.82/8.32 spl0_223|spl0_224|spl0_150),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8293,f5622,f5625,f4278])).
% 62.82/8.32 fof(f8296,plain,(
% 62.82/8.32 sk0_97(v_y,sk0_91)=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),v_x),v_L)|spl0_150),
% 62.82/8.32 inference(resolution,[status(thm)],[f4280,f2154])).
% 62.82/8.32 fof(f8297,plain,(
% 62.82/8.32 spl0_224|spl0_225|spl0_150),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8296,f5625,f5631,f4278])).
% 62.82/8.32 fof(f8298,plain,(
% 62.82/8.32 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),v_x),v_L)=v_L|v_x=sk0_97(v_y,sk0_91)|spl0_150|~spl0_304)),
% 62.82/8.32 inference(resolution,[status(thm)],[f4280,f8169])).
% 62.82/8.32 fof(f8299,plain,(
% 62.82/8.32 spl0_226|spl0_224|spl0_150|~spl0_304),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8298,f5636,f5625,f4278,f7857])).
% 62.82/8.32 fof(f8309,plain,(
% 62.82/8.32 spl0_316 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_97(v_y,sk0_91)),v_y)=hAPP(X1,v_y)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8312,plain,(
% 62.82/8.32 spl0_317 <=> sk0_97(v_y,sk0_91)=v_y),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8313,plain,(
% 62.82/8.32 sk0_97(v_y,sk0_91)=v_y|~spl0_317),
% 62.82/8.32 inference(component_clause,[status(thm)],[f8312])).
% 62.82/8.32 fof(f8315,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_97(v_y,sk0_91)),v_y)=hAPP(X1,v_y)|sk0_97(v_y,sk0_91)=v_y|~spl0_86)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3369,f6306])).
% 62.82/8.32 fof(f8316,plain,(
% 62.82/8.32 spl0_316|spl0_317|~spl0_86),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8315,f8309,f8312,f3368])).
% 62.82/8.32 fof(f8317,plain,(
% 62.82/8.32 spl0_318 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8329,plain,(
% 62.82/8.32 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),v_y),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(v_y,sk0_91),v_y),v_L)|~spl0_86)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3369,f6182])).
% 62.82/8.32 fof(f8330,plain,(
% 62.82/8.32 spl0_318|~spl0_86),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8329,f8317,f3368])).
% 62.82/8.32 fof(f8342,plain,(
% 62.82/8.32 v_x=v_y|~spl0_224|~spl0_317),
% 62.82/8.32 inference(forward_demodulation,[status(thm)],[f5626,f8313])).
% 62.82/8.32 fof(f8343,plain,(
% 62.82/8.32 $false|~spl0_224|~spl0_317),
% 62.82/8.32 inference(forward_subsumption_resolution,[status(thm)],[f8342,f2150])).
% 62.82/8.32 fof(f8344,plain,(
% 62.82/8.32 ~spl0_224|~spl0_317),
% 62.82/8.32 inference(contradiction_clause,[status(thm)],[f8343])).
% 62.82/8.32 fof(f8350,plain,(
% 62.82/8.32 spl0_319 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_x)=hAPP(X1,v_x)|X2=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8351,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_x)=hAPP(X1,v_x)|X2=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)|~spl0_319)),
% 62.82/8.32 inference(component_clause,[status(thm)],[f8350])).
% 62.82/8.32 fof(f8353,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_x)=hAPP(X1,v_x)|X2=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)|v_y=v_x|~spl0_248)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6083,f6319])).
% 62.82/8.32 fof(f8354,plain,(
% 62.82/8.32 spl0_319|spl0_22|~spl0_248),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8353,f8350,f2450,f6082])).
% 62.82/8.32 fof(f8372,plain,(
% 62.82/8.32 ![X0,X1]: (c_member(X0,X1,c_Set_Oinsert(X0,X1,v_L))|~spl0_305)),
% 62.82/8.32 inference(resolution,[status(thm)],[f8153,f1977])).
% 62.82/8.32 fof(f8422,plain,(
% 62.82/8.32 spl0_320 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_y),sk0_92)=hAPP(X1,sk0_92)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8425,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_y),sk0_92)=hAPP(X1,sk0_92)|v_y=sk0_92|~spl0_267)),
% 62.82/8.32 inference(resolution,[status(thm)],[f6809,f6306])).
% 62.82/8.32 fof(f8426,plain,(
% 62.82/8.32 spl0_320|spl0_31|~spl0_267),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8425,f8422,f2555,f6808])).
% 62.82/8.32 fof(f8455,plain,(
% 62.82/8.32 spl0_321 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_y),sk0_91)=hAPP(X1,sk0_91)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8458,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_y),sk0_91)=hAPP(X1,sk0_91)|v_y=sk0_91|~spl0_205)),
% 62.82/8.32 inference(resolution,[status(thm)],[f5184,f6306])).
% 62.82/8.32 fof(f8459,plain,(
% 62.82/8.32 spl0_321|spl0_26|~spl0_205),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8458,f8455,f2484,f5183])).
% 62.82/8.32 fof(f8490,plain,(
% 62.82/8.32 sk0_92=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_91|spl0_25),
% 62.82/8.32 inference(resolution,[status(thm)],[f3392,f6785])).
% 62.82/8.32 fof(f8491,plain,(
% 62.82/8.32 spl0_31|spl0_267|~spl0_91|spl0_25),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8490,f2555,f6808,f3391,f2479])).
% 62.82/8.32 fof(f8514,plain,(
% 62.82/8.32 spl0_322 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8536,plain,(
% 62.82/8.32 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3383,f5244])).
% 62.82/8.32 fof(f8537,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_y)=hAPP(X1,v_y)|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)|v_x=v_y|~spl0_90)),
% 62.82/8.32 inference(resolution,[status(thm)],[f8536,f6319])).
% 62.82/8.32 fof(f8538,plain,(
% 62.82/8.32 spl0_264|spl0_22|~spl0_90),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8537,f6688,f2450,f3382])).
% 62.82/8.32 fof(f8602,plain,(
% 62.82/8.32 spl0_323 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_99(sk0_92,sk0_91))=hAPP(X1,sk0_99(sk0_92,sk0_91))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8605,plain,(
% 62.82/8.32 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_99(sk0_92,sk0_91))=hAPP(X1,sk0_99(sk0_92,sk0_91))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)|v_x=sk0_99(sk0_92,sk0_91)|spl0_117)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3662,f6319])).
% 62.82/8.32 fof(f8606,plain,(
% 62.82/8.32 spl0_323|spl0_261|spl0_117),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8605,f8602,f6565,f3660])).
% 62.82/8.32 fof(f8607,plain,(
% 62.82/8.32 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_99(sk0_92,sk0_91))=hAPP(X1,sk0_99(sk0_92,sk0_91))|v_x=sk0_99(sk0_92,sk0_91)|spl0_117)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3662,f5807])).
% 62.82/8.32 fof(f8608,plain,(
% 62.82/8.32 spl0_297|spl0_261|spl0_117),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8607,f7761,f6565,f3660])).
% 62.82/8.32 fof(f8610,plain,(
% 62.82/8.32 spl0_324 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_99(sk0_92,sk0_91)),v_L)),
% 62.82/8.32 introduced(split_symbol_definition)).
% 62.82/8.32 fof(f8613,plain,(
% 62.82/8.32 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=sk0_99(sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_99(sk0_92,sk0_91)),v_L)|spl0_117)),
% 62.82/8.32 inference(resolution,[status(thm)],[f3662,f4679])).
% 62.82/8.32 fof(f8614,plain,(
% 62.82/8.32 spl0_324|spl0_261|spl0_117),
% 62.82/8.32 inference(split_clause,[status(thm)],[f8613,f8610,f6565,f3660])).
% 62.82/8.33 fof(f8615,plain,(
% 62.82/8.33 spl0_325 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_99(sk0_92,sk0_91)),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f8618,plain,(
% 62.82/8.33 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_99(sk0_92,sk0_91)),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1|v_x=sk0_99(sk0_92,sk0_91)|spl0_117)),
% 62.82/8.33 inference(resolution,[status(thm)],[f3662,f5529])).
% 62.82/8.33 fof(f8619,plain,(
% 62.82/8.33 spl0_325|spl0_261|spl0_117),
% 62.82/8.33 inference(split_clause,[status(thm)],[f8618,f8615,f6565,f3660])).
% 62.82/8.33 fof(f8620,plain,(
% 62.82/8.33 spl0_326 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),X1),v_L)=v_L),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f8623,plain,(
% 62.82/8.33 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),X1),v_L)=v_L|v_x=sk0_99(sk0_92,sk0_91)|spl0_117)),
% 62.82/8.33 inference(resolution,[status(thm)],[f3662,f5542])).
% 62.82/8.33 fof(f8624,plain,(
% 62.82/8.33 spl0_326|spl0_261|spl0_117),
% 62.82/8.33 inference(split_clause,[status(thm)],[f8623,f8620,f6565,f3660])).
% 62.82/8.33 fof(f8627,plain,(
% 62.82/8.33 spl0_327 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_99(sk0_92,sk0_91)),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f8630,plain,(
% 62.82/8.33 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_99(sk0_92,sk0_91)),v_L)|v_x=sk0_99(sk0_92,sk0_91)|spl0_117)),
% 62.82/8.33 inference(resolution,[status(thm)],[f3662,f5482])).
% 62.82/8.33 fof(f8631,plain,(
% 62.82/8.33 spl0_327|spl0_261|spl0_117),
% 62.82/8.33 inference(split_clause,[status(thm)],[f8630,f8627,f6565,f3660])).
% 62.82/8.33 fof(f8633,plain,(
% 62.82/8.33 spl0_328 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),v_x),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f8636,plain,(
% 62.82/8.33 sk0_99(sk0_92,sk0_91)=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),v_x),v_L)|spl0_117),
% 62.82/8.33 inference(resolution,[status(thm)],[f3662,f2154])).
% 62.82/8.33 fof(f8637,plain,(
% 62.82/8.33 spl0_261|spl0_328|spl0_117),
% 62.82/8.33 inference(split_clause,[status(thm)],[f8636,f6565,f8633,f3660])).
% 62.82/8.33 fof(f8661,plain,(
% 62.82/8.33 spl0_333 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),v_x),v_L)=v_L),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f8664,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),v_x),v_L)=v_L|v_x=sk0_99(sk0_92,sk0_91)|spl0_117)),
% 62.82/8.33 inference(resolution,[status(thm)],[f4681,f3662])).
% 62.82/8.33 fof(f8665,plain,(
% 62.82/8.33 spl0_333|spl0_261|spl0_117),
% 62.82/8.33 inference(split_clause,[status(thm)],[f8664,f8661,f6565,f3660])).
% 62.82/8.33 fof(f8804,plain,(
% 62.82/8.33 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_224|spl0_86),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f5626,f3370])).
% 62.82/8.33 fof(f8805,plain,(
% 62.82/8.33 $false|~spl0_90|~spl0_224|spl0_86),
% 62.82/8.33 inference(forward_subsumption_resolution,[status(thm)],[f8804,f3383])).
% 62.82/8.33 fof(f8806,plain,(
% 62.82/8.33 ~spl0_90|~spl0_224|spl0_86),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f8805])).
% 62.82/8.33 fof(f8845,plain,(
% 62.82/8.33 ![X0]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|v_y=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f6982,f2154])).
% 62.82/8.33 fof(f8868,plain,(
% 62.82/8.33 spl0_334 <=> hAPP(X0,v_y)=hAPP(X0,v_y)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9038,plain,(
% 62.82/8.33 ![X0,X1,X2,X3]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)=v_L|X1=X2|~spl0_305)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f5058,f8372])).
% 62.82/8.33 fof(f9142,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),v_y)=hAPP(X1,v_y)|v_x=v_x|~spl0_264)),
% 62.82/8.33 inference(resolution,[status(thm)],[f6689,f4634])).
% 62.82/8.33 fof(f9143,plain,(
% 62.82/8.33 spl0_259|spl0_46|~spl0_264),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9142,f6390,f2722,f6688])).
% 62.82/8.33 fof(f9145,plain,(
% 62.82/8.33 spl0_335 <=> X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9146,plain,(
% 62.82/8.33 ![X0]: (X0=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|X0=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|~spl0_335)),
% 62.82/8.33 inference(component_clause,[status(thm)],[f9145])).
% 62.82/8.33 fof(f9148,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(X0,v_x)=hAPP(X0,v_x)|X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~spl0_319)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f8351,f8351])).
% 62.82/8.33 fof(f9149,plain,(
% 62.82/8.33 spl0_296|spl0_335|~spl0_319),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9148,f7758,f9145,f8350])).
% 62.82/8.33 fof(f9150,plain,(
% 62.82/8.33 spl0_336 <=> X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9151,plain,(
% 62.82/8.33 ![X0,X1]: (X0=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)=v_L|v_x=X0|~spl0_336)),
% 62.82/8.33 inference(component_clause,[status(thm)],[f9150])).
% 62.82/8.33 fof(f9153,plain,(
% 62.82/8.33 ![X0,X1,X2]: (hAPP(X0,v_x)=hAPP(X0,v_x)|X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1|~spl0_319)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f5808,f8351])).
% 62.82/8.33 fof(f9154,plain,(
% 62.82/8.33 spl0_296|spl0_336|~spl0_319),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9153,f7758,f9150,f8350])).
% 62.82/8.33 fof(f9155,plain,(
% 62.82/8.33 spl0_337 <=> X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X2,X3,v_L,v_x),X1)=hAPP(X3,X1)|v_x=X1),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9158,plain,(
% 62.82/8.33 ![X0,X1,X2,X3]: (hAPP(X0,v_x)=hAPP(X0,v_x)|X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X2,X3,v_L,v_x),X1)=hAPP(X3,X1)|v_x=X1|~spl0_319)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f6286,f8351])).
% 62.82/8.33 fof(f9159,plain,(
% 62.82/8.33 spl0_296|spl0_337|~spl0_319),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9158,f7758,f9155,f8350])).
% 62.82/8.33 fof(f9171,plain,(
% 62.82/8.33 ![X0]: (X0=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|~spl0_335)),
% 62.82/8.33 inference(duplicate_literals_removal,[status(esa)],[f9146])).
% 62.82/8.33 fof(f9172,plain,(
% 62.82/8.33 v_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_335|spl0_25),
% 62.82/8.33 inference(resolution,[status(thm)],[f9171,f5062])).
% 62.82/8.33 fof(f9173,plain,(
% 62.82/8.33 spl0_22|~spl0_290|~spl0_335|spl0_25),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9172,f2450,f7614,f9145,f2479])).
% 62.82/8.33 fof(f9174,plain,(
% 62.82/8.33 ![X0,X1]: (v_y=v_y|X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~spl0_335)),
% 62.82/8.33 inference(resolution,[status(thm)],[f9171,f2797])).
% 62.82/8.33 fof(f9175,plain,(
% 62.82/8.33 spl0_13|spl0_307|~spl0_335),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9174,f2394,f7901,f9145])).
% 62.82/8.33 fof(f9185,plain,(
% 62.82/8.33 v_x=v_y|~spl0_335|~spl0_90),
% 62.82/8.33 inference(resolution,[status(thm)],[f9171,f8536])).
% 62.82/8.33 fof(f9186,plain,(
% 62.82/8.33 spl0_22|~spl0_335|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9185,f2450,f9145,f3382])).
% 62.82/8.33 fof(f9193,plain,(
% 62.82/8.33 sk0_92=v_y|sk0_91=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_335|~spl0_29),
% 62.82/8.33 inference(resolution,[status(thm)],[f9171,f5315])).
% 62.82/8.33 fof(f9194,plain,(
% 62.82/8.33 spl0_31|spl0_26|spl0_205|~spl0_335|~spl0_29),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9193,f2555,f2484,f5183,f9145,f2541])).
% 62.82/8.33 fof(f9208,plain,(
% 62.82/8.33 ![X0,X1,X2]: (v_y=v_y|~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)=v_L|~spl0_335)),
% 62.82/8.33 inference(resolution,[status(thm)],[f9171,f7241])).
% 62.82/8.33 fof(f9209,plain,(
% 62.82/8.33 spl0_13|spl0_292|~spl0_335),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9208,f2394,f7632,f9145])).
% 62.82/8.33 fof(f9214,plain,(
% 62.82/8.33 ![X0]: (v_y=v_y|~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|~spl0_335)),
% 62.82/8.33 inference(resolution,[status(thm)],[f9171,f6182])).
% 62.82/8.33 fof(f9215,plain,(
% 62.82/8.33 spl0_13|spl0_220|~spl0_335),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9214,f2394,f5489,f9145])).
% 62.82/8.33 fof(f9287,plain,(
% 62.82/8.33 spl0_338 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9290,plain,(
% 62.82/8.33 ![X0,X1,X2,X3]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)|v_y=sk0_91|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)=v_L|~spl0_205|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f6872,f8066])).
% 62.82/8.33 fof(f9291,plain,(
% 62.82/8.33 spl0_338|spl0_26|spl0_260|~spl0_205|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9290,f9287,f2484,f6495,f5183,f3382])).
% 62.82/8.33 fof(f9438,plain,(
% 62.82/8.33 spl0_340 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_100(sk0_92,v_x))=hAPP(X1,sk0_100(sk0_92,v_x))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9441,plain,(
% 62.82/8.33 spl0_341 <=> v_x=sk0_100(sk0_92,v_x)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9442,plain,(
% 62.82/8.33 v_x=sk0_100(sk0_92,v_x)|~spl0_341),
% 62.82/8.33 inference(component_clause,[status(thm)],[f9441])).
% 62.82/8.33 fof(f9444,plain,(
% 62.82/8.33 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_100(sk0_92,v_x))=hAPP(X1,sk0_100(sk0_92,v_x))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)|v_x=sk0_100(sk0_92,v_x)|spl0_43)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2710,f6319])).
% 62.82/8.33 fof(f9445,plain,(
% 62.82/8.33 spl0_340|spl0_341|spl0_43),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9444,f9438,f9441,f2708])).
% 62.82/8.33 fof(f9446,plain,(
% 62.82/8.33 spl0_342 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_100(sk0_92,v_x))=hAPP(X1,sk0_100(sk0_92,v_x))),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9449,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),sk0_100(sk0_92,v_x))=hAPP(X1,sk0_100(sk0_92,v_x))|v_x=sk0_100(sk0_92,v_x)|spl0_43)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2710,f5807])).
% 62.82/8.33 fof(f9450,plain,(
% 62.82/8.33 spl0_342|spl0_341|spl0_43),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9449,f9446,f9441,f2708])).
% 62.82/8.33 fof(f9452,plain,(
% 62.82/8.33 spl0_343 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_100(sk0_92,v_x)),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9455,plain,(
% 62.82/8.33 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=sk0_100(sk0_92,v_x)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_100(sk0_92,v_x)),v_L)|spl0_43)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2710,f4679])).
% 62.82/8.33 fof(f9456,plain,(
% 62.82/8.33 spl0_343|spl0_341|spl0_43),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9455,f9452,f9441,f2708])).
% 62.82/8.33 fof(f9457,plain,(
% 62.82/8.33 spl0_344 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_100(sk0_92,v_x)),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9460,plain,(
% 62.82/8.33 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_100(sk0_92,v_x)),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)=v_L|v_x=X1|v_x=sk0_100(sk0_92,v_x)|spl0_43)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2710,f5529])).
% 62.82/8.33 fof(f9461,plain,(
% 62.82/8.33 spl0_344|spl0_341|spl0_43),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9460,f9457,f9441,f2708])).
% 62.82/8.33 fof(f9462,plain,(
% 62.82/8.33 spl0_345 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,v_x),X1),v_L)=v_L),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9465,plain,(
% 62.82/8.33 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,v_x),X1),v_L)=v_L|v_x=sk0_100(sk0_92,v_x)|spl0_43)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2710,f5542])).
% 62.82/8.33 fof(f9466,plain,(
% 62.82/8.33 spl0_345|spl0_341|spl0_43),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9465,f9462,f9441,f2708])).
% 62.82/8.33 fof(f9469,plain,(
% 62.82/8.33 spl0_346 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_100(sk0_92,v_x)),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9472,plain,(
% 62.82/8.33 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_100(sk0_92,v_x)),v_L)|v_x=sk0_100(sk0_92,v_x)|spl0_43)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2710,f5482])).
% 62.82/8.33 fof(f9473,plain,(
% 62.82/8.33 spl0_346|spl0_341|spl0_43),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9472,f9469,f9441,f2708])).
% 62.82/8.33 fof(f9475,plain,(
% 62.82/8.33 spl0_347 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,v_x),v_x),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9478,plain,(
% 62.82/8.33 sk0_100(sk0_92,v_x)=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,v_x),v_x),v_L)|spl0_43),
% 62.82/8.33 inference(resolution,[status(thm)],[f2710,f2154])).
% 62.82/8.33 fof(f9479,plain,(
% 62.82/8.33 spl0_341|spl0_347|spl0_43),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9478,f9441,f9475,f2708])).
% 62.82/8.33 fof(f9480,plain,(
% 62.82/8.33 spl0_348 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,v_x),v_x),v_L)=v_L),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9483,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,v_x),v_x),v_L)=v_L|v_x=sk0_100(sk0_92,v_x)|spl0_43|~spl0_305)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2710,f9038])).
% 62.82/8.33 fof(f9484,plain,(
% 62.82/8.33 spl0_348|spl0_341|spl0_43|~spl0_305),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9483,f9480,f9441,f2708,f7864])).
% 62.82/8.33 fof(f9577,plain,(
% 62.82/8.33 spl0_350 <=> X1=X2),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9578,plain,(
% 62.82/8.33 ![X0,X1]: (X0=X1|~spl0_350)),
% 62.82/8.33 inference(component_clause,[status(thm)],[f9577])).
% 62.82/8.33 fof(f9580,plain,(
% 62.82/8.33 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L),c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,v_L))|X1=X2|~spl0_50)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f2781,f3141])).
% 62.82/8.33 fof(f9581,plain,(
% 62.82/8.33 spl0_65|spl0_350|~spl0_50),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9580,f3070,f9577,f2780])).
% 62.82/8.33 fof(f9584,plain,(
% 62.82/8.33 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),v_L,v_L)|X0=X1|~spl0_50)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f2781,f1906])).
% 62.82/8.33 fof(f9585,plain,(
% 62.82/8.33 spl0_49|spl0_350|~spl0_50),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9584,f2777,f9577,f2780])).
% 62.82/8.33 fof(f9591,plain,(
% 62.82/8.33 $false|~spl0_350|spl0_142),
% 62.82/8.33 inference(backward_subsumption_resolution,[status(thm)],[f4062,f9578])).
% 62.82/8.33 fof(f9592,plain,(
% 62.82/8.33 ~spl0_350|spl0_142),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f9591])).
% 62.82/8.33 fof(f9637,plain,(
% 62.82/8.33 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X2=X1|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L))),
% 62.82/8.33 inference(resolution,[status(thm)],[f4681,f5244])).
% 62.82/8.33 fof(f9640,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)=v_L|v_y=sk0_91|~spl0_205)),
% 62.82/8.33 inference(resolution,[status(thm)],[f9637,f5184])).
% 62.82/8.33 fof(f9641,plain,(
% 62.82/8.33 spl0_215|spl0_26|~spl0_205),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9640,f5406,f2484,f5183])).
% 62.82/8.33 fof(f9642,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)=v_L|v_x=sk0_91|~spl0_30)),
% 62.82/8.33 inference(resolution,[status(thm)],[f9637,f2545])).
% 62.82/8.33 fof(f9643,plain,(
% 62.82/8.33 spl0_260|spl0_24|~spl0_30),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9642,f6495,f2473,f2544])).
% 62.82/8.33 fof(f9646,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)=v_L|v_x=sk0_92|~spl0_41)),
% 62.82/8.33 inference(resolution,[status(thm)],[f9637,f2683])).
% 62.82/8.33 fof(f9647,plain,(
% 62.82/8.33 spl0_194|spl0_54|~spl0_41),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9646,f5053,f2966,f2682])).
% 62.82/8.33 fof(f9900,plain,(
% 62.82/8.33 spl0_351 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)=v_L),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9905,plain,(
% 62.82/8.33 ![X0]: (v_x=v_y|c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)=v_L|v_x=v_x|~spl0_336|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f9151,f8536])).
% 62.82/8.33 fof(f9906,plain,(
% 62.82/8.33 spl0_22|spl0_351|spl0_46|~spl0_336|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9905,f2450,f9900,f2722,f9150,f3382])).
% 62.82/8.33 fof(f9935,plain,(
% 62.82/8.33 ![X0]: (v_y=v_y|c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)=v_L|v_x=v_y|~spl0_336)),
% 62.82/8.33 inference(resolution,[status(thm)],[f9151,f4634])).
% 62.82/8.33 fof(f9936,plain,(
% 62.82/8.33 spl0_13|spl0_214|spl0_22|~spl0_336),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9935,f2394,f5391,f2450,f9150])).
% 62.82/8.33 fof(f9981,plain,(
% 62.82/8.33 spl0_352 <=> c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)=v_L),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f9984,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)=v_L|v_y=v_x|c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)=v_L|~spl0_55|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2970,f8066])).
% 62.82/8.33 fof(f9985,plain,(
% 62.82/8.33 spl0_352|spl0_22|spl0_351|~spl0_55|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f9984,f9981,f2450,f9900,f2969,f3382])).
% 62.82/8.33 fof(f10056,plain,(
% 62.82/8.33 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X3=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L)|X2=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L))),
% 62.82/8.33 inference(resolution,[status(thm)],[f5542,f2154])).
% 62.82/8.33 fof(f10062,plain,(
% 62.82/8.33 ![X0]: (hAPP(X0,v_y)=hAPP(X0,v_y)|v_x=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_90)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f6519,f5807])).
% 62.82/8.33 fof(f10063,plain,(
% 62.82/8.33 spl0_334|spl0_22|spl0_91|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10062,f8868,f2450,f3391,f3382])).
% 62.82/8.33 fof(f10185,plain,(
% 62.82/8.33 spl0_353 <=> sk0_100(v_x,sk0_91)=sk0_91),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10186,plain,(
% 62.82/8.33 sk0_100(v_x,sk0_91)=sk0_91|~spl0_353),
% 62.82/8.33 inference(component_clause,[status(thm)],[f10185])).
% 62.82/8.33 fof(f10188,plain,(
% 62.82/8.33 spl0_354 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_x,sk0_91),sk0_91),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10191,plain,(
% 62.82/8.33 sk0_100(v_x,sk0_91)=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_x,sk0_91),sk0_91),v_L)|spl0_111),
% 62.82/8.33 inference(resolution,[status(thm)],[f3624,f2154])).
% 62.82/8.33 fof(f10192,plain,(
% 62.82/8.33 spl0_353|spl0_354|spl0_111),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10191,f10185,f10188,f3622])).
% 62.82/8.33 fof(f10193,plain,(
% 62.82/8.33 spl0_355 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_x,sk0_91),sk0_91),v_L)=v_L),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10196,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_x,sk0_91),sk0_91),v_L)=v_L|sk0_91=sk0_100(v_x,sk0_91)|spl0_111)),
% 62.82/8.33 inference(resolution,[status(thm)],[f3624,f4681])).
% 62.82/8.33 fof(f10197,plain,(
% 62.82/8.33 spl0_355|spl0_353|spl0_111),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10196,f10193,f10185,f3622])).
% 62.82/8.33 fof(f10226,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_353|~spl0_114),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f10186,f3639])).
% 62.82/8.33 fof(f10227,plain,(
% 62.82/8.33 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|~spl0_353|~spl0_114|spl0_25),
% 62.82/8.33 inference(resolution,[status(thm)],[f10226,f5062])).
% 62.82/8.33 fof(f10228,plain,(
% 62.82/8.33 $false|~spl0_29|~spl0_353|~spl0_114|spl0_25),
% 62.82/8.33 inference(forward_subsumption_resolution,[status(thm)],[f10227,f5040])).
% 62.82/8.33 fof(f10229,plain,(
% 62.82/8.33 ~spl0_29|~spl0_353|~spl0_114|spl0_25),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f10228])).
% 62.82/8.33 fof(f10233,plain,(
% 62.82/8.33 sk0_91=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_227),
% 62.82/8.33 inference(resolution,[status(thm)],[f5646,f2154])).
% 62.82/8.33 fof(f10234,plain,(
% 62.82/8.33 spl0_24|spl0_30|~spl0_227),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10233,f2473,f2544,f5645])).
% 62.82/8.33 fof(f10235,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)=v_L|v_x=sk0_91|~spl0_227)),
% 62.82/8.33 inference(resolution,[status(thm)],[f5646,f4681])).
% 62.82/8.33 fof(f10236,plain,(
% 62.82/8.33 spl0_260|spl0_24|~spl0_227),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10235,f6495,f2473,f5645])).
% 62.82/8.33 fof(f10239,plain,(
% 62.82/8.33 ![X0]: (v_y=sk0_92|c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)=v_L|~spl0_268|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f6834,f8066])).
% 62.82/8.33 fof(f10240,plain,(
% 62.82/8.33 spl0_31|spl0_194|~spl0_268|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10239,f2555,f5053,f6833,f3382])).
% 62.82/8.33 fof(f10243,plain,(
% 62.82/8.33 sk0_92=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_268),
% 62.82/8.33 inference(resolution,[status(thm)],[f6834,f2154])).
% 62.82/8.33 fof(f10244,plain,(
% 62.82/8.33 spl0_31|spl0_267|~spl0_268),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10243,f2555,f6808,f6833])).
% 62.82/8.33 fof(f10245,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)=v_L|v_y=sk0_92|~spl0_268)),
% 62.82/8.33 inference(resolution,[status(thm)],[f6834,f4681])).
% 62.82/8.33 fof(f10246,plain,(
% 62.82/8.33 spl0_269|spl0_31|~spl0_268),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10245,f6836,f2555,f6833])).
% 62.82/8.33 fof(f10255,plain,(
% 62.82/8.33 spl0_357 <=> sk0_92=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10256,plain,(
% 62.82/8.33 ![X0]: (sk0_92=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~spl0_357)),
% 62.82/8.33 inference(component_clause,[status(thm)],[f10255])).
% 62.82/8.33 fof(f10336,plain,(
% 62.82/8.33 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)=v_L|X1=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f4679,f3383])).
% 62.82/8.33 fof(f10445,plain,(
% 62.82/8.33 spl0_361 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)=v_L|X1=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10448,plain,(
% 62.82/8.33 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)=v_L|v_x=sk0_91|X1=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~spl0_227)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10056,f5646])).
% 62.82/8.33 fof(f10449,plain,(
% 62.82/8.33 spl0_361|spl0_24|~spl0_227),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10448,f10445,f2473,f5645])).
% 62.82/8.33 fof(f10450,plain,(
% 62.82/8.33 spl0_362 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)=v_L|X1=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10453,plain,(
% 62.82/8.33 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)=v_L|v_x=v_y|X1=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10056,f8536])).
% 62.82/8.33 fof(f10454,plain,(
% 62.82/8.33 spl0_362|spl0_22|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10453,f10450,f2450,f3382])).
% 62.82/8.33 fof(f10455,plain,(
% 62.82/8.33 spl0_363 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)=v_L|X1=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10458,plain,(
% 62.82/8.33 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)=v_L|v_x=sk0_92|X1=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|spl0_25)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10056,f5018])).
% 62.82/8.33 fof(f10459,plain,(
% 62.82/8.33 spl0_363|spl0_54|spl0_25),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10458,f10455,f2966,f2479])).
% 62.82/8.33 fof(f10464,plain,(
% 62.82/8.33 spl0_364 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)=v_L|X1=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10467,plain,(
% 62.82/8.33 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)=v_L|sk0_92=sk0_91|X1=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)|~spl0_29)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10056,f5092])).
% 62.82/8.33 fof(f10468,plain,(
% 62.82/8.33 spl0_364|spl0_142|~spl0_29),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10467,f10464,f4060,f2541])).
% 62.82/8.33 fof(f10495,plain,(
% 62.82/8.33 ![X0]: (X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2639,f3383])).
% 62.82/8.33 fof(f10497,plain,(
% 62.82/8.33 ![X0]: (X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~spl0_30)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2639,f2545])).
% 62.82/8.33 fof(f10498,plain,(
% 62.82/8.33 ![X0]: (X0=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~spl0_29)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2639,f5040])).
% 62.82/8.33 fof(f10499,plain,(
% 62.82/8.33 ![X0]: (X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~spl0_41)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2639,f2683])).
% 62.82/8.33 fof(f10509,plain,(
% 62.82/8.33 ![X0,X1,X2]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)|X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L))),
% 62.82/8.33 inference(resolution,[status(thm)],[f2639,f2154])).
% 62.82/8.33 fof(f10510,plain,(
% 62.82/8.33 ![X0,X1,X2,X3]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L)|c_Set_Oinsert(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)=v_L|X2=X1)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2639,f4681])).
% 62.82/8.33 fof(f10533,plain,(
% 62.82/8.33 spl0_365 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10534,plain,(
% 62.82/8.33 ![X0]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)|~spl0_365)),
% 62.82/8.33 inference(component_clause,[status(thm)],[f10533])).
% 62.82/8.33 fof(f10539,plain,(
% 62.82/8.33 spl0_367 <=> sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10544,plain,(
% 62.82/8.33 spl0_368 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10545,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)|~spl0_368),
% 62.82/8.33 inference(component_clause,[status(thm)],[f10544])).
% 62.82/8.33 fof(f10547,plain,(
% 62.82/8.33 ![X0]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)|sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L))),
% 62.82/8.33 inference(resolution,[status(thm)],[f3154,f2154])).
% 62.82/8.33 fof(f10548,plain,(
% 62.82/8.33 spl0_365|spl0_367|spl0_368),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10547,f10533,f10539,f10544])).
% 62.82/8.33 fof(f10554,plain,(
% 62.82/8.33 spl0_370 <=> ~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),X2),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10557,plain,(
% 62.82/8.33 ![X0,X1,X2]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),X2),v_L))),
% 62.82/8.33 inference(resolution,[status(thm)],[f3154,f4633])).
% 62.82/8.33 fof(f10558,plain,(
% 62.82/8.33 spl0_365|spl0_370),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10557,f10533,f10554])).
% 62.82/8.33 fof(f10570,plain,(
% 62.82/8.33 ![X0,X1,X2,X3]: (c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X1),X2)|~c_member(X3,c_Product__Type_OPair(X0,X0,sk0_1(X0,X2),sk0_1(X0,X2)),X2))),
% 62.82/8.33 inference(resolution,[status(thm)],[f3154,f4010])).
% 62.82/8.33 fof(f10571,plain,(
% 62.82/8.33 $false|~spl0_365),
% 62.82/8.33 inference(forward_subsumption_resolution,[status(thm)],[f10534,f4634])).
% 62.82/8.33 fof(f10572,plain,(
% 62.82/8.33 ~spl0_365),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f10571])).
% 62.82/8.33 fof(f10573,plain,(
% 62.82/8.33 $false|~spl0_368),
% 62.82/8.33 inference(forward_subsumption_resolution,[status(thm)],[f10545,f4634])).
% 62.82/8.33 fof(f10574,plain,(
% 62.82/8.33 ~spl0_368),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f10573])).
% 62.82/8.33 fof(f10691,plain,(
% 62.82/8.33 ![X0,X1]: (X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10495,f5244])).
% 62.82/8.33 fof(f10739,plain,(
% 62.82/8.33 sk0_92=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_92),v_L)|sk0_91=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_41|~spl0_29),
% 62.82/8.33 inference(resolution,[status(thm)],[f10499,f5315])).
% 62.82/8.33 fof(f10740,plain,(
% 62.82/8.33 spl0_54|spl0_288|spl0_24|spl0_30|~spl0_41|~spl0_29),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10739,f2966,f7510,f2473,f2544,f2682,f2541])).
% 62.82/8.33 fof(f10805,plain,(
% 62.82/8.33 spl0_372 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_99(sk0_92,sk0_91)),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f10806,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_99(sk0_92,sk0_91)),v_L)|~spl0_372),
% 62.82/8.33 inference(component_clause,[status(thm)],[f10805])).
% 62.82/8.33 fof(f10914,plain,(
% 62.82/8.33 ![X0,X1]: (X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~spl0_30)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10497,f5244])).
% 62.82/8.33 fof(f10918,plain,(
% 62.82/8.33 ![X0,X1]: (sk0_99(X0,X1)=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_99(X0,X1)),v_L)|~pd0_5(X0,X1)|pd0_7(X0,X1)|~spl0_30)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10914,f2212])).
% 62.82/8.33 fof(f10949,plain,(
% 62.82/8.33 sk0_99(sk0_92,sk0_91)=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_99(sk0_92,sk0_91)),v_L)|pd0_7(sk0_92,sk0_91)|~spl0_30|~spl0_23),
% 62.82/8.33 inference(resolution,[status(thm)],[f10918,f2471])).
% 62.82/8.33 fof(f10950,plain,(
% 62.82/8.33 spl0_261|spl0_116|spl0_29|~spl0_30|~spl0_23),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10949,f6565,f3655,f2541,f2544,f2470])).
% 62.82/8.33 fof(f10969,plain,(
% 62.82/8.33 v_y=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_29|~spl0_90),
% 62.82/8.33 inference(resolution,[status(thm)],[f10498,f6982])).
% 62.82/8.33 fof(f10970,plain,(
% 62.82/8.33 spl0_31|spl0_290|spl0_30|~spl0_29|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f10969,f2555,f7614,f2544,f2541,f3382])).
% 62.82/8.33 fof(f11021,plain,(
% 62.82/8.33 ![X0]: (X0=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~spl0_290)),
% 62.82/8.33 inference(resolution,[status(thm)],[f7615,f2639])).
% 62.82/8.33 fof(f11051,plain,(
% 62.82/8.33 spl0_380 <=> sk0_91=sk0_100(sk0_92,sk0_91)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f11052,plain,(
% 62.82/8.33 sk0_91=sk0_100(sk0_92,sk0_91)|~spl0_380),
% 62.82/8.33 inference(component_clause,[status(thm)],[f11051])).
% 62.82/8.33 fof(f11069,plain,(
% 62.82/8.33 sk0_91=sk0_100(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_147|~spl0_29),
% 62.82/8.33 inference(resolution,[status(thm)],[f4104,f5315])).
% 62.82/8.33 fof(f11070,plain,(
% 62.82/8.33 spl0_380|spl0_145|~spl0_147|~spl0_29),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11069,f11051,f4090,f4103,f2541])).
% 62.82/8.33 fof(f11079,plain,(
% 62.82/8.33 spl0_383 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_92),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f11082,plain,(
% 62.82/8.33 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_92),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_92),v_L)|~spl0_147)),
% 62.82/8.33 inference(resolution,[status(thm)],[f4104,f6182])).
% 62.82/8.33 fof(f11083,plain,(
% 62.82/8.33 spl0_383|~spl0_147),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11082,f11079,f4103])).
% 62.82/8.33 fof(f11103,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_380|~spl0_147),
% 62.82/8.33 inference(backward_demodulation,[status(thm)],[f11052,f4104])).
% 62.82/8.33 fof(f11104,plain,(
% 62.82/8.33 $false|~spl0_29|~spl0_380|~spl0_147),
% 62.82/8.33 inference(forward_subsumption_resolution,[status(thm)],[f11103,f5092])).
% 62.82/8.33 fof(f11105,plain,(
% 62.82/8.33 ~spl0_29|~spl0_380|~spl0_147),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f11104])).
% 62.82/8.33 fof(f11110,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_261|~spl0_372),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f6566,f10806])).
% 62.82/8.33 fof(f11111,plain,(
% 62.82/8.33 spl0_41|~spl0_261|~spl0_372),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11110,f2682,f6565,f10805])).
% 62.82/8.33 fof(f11113,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_341|~spl0_45),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f9442,f2718])).
% 62.82/8.33 fof(f11114,plain,(
% 62.82/8.33 spl0_41|~spl0_341|~spl0_45),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11113,f2682,f9441,f2717])).
% 62.82/8.33 fof(f11115,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_275|~spl0_119),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f7158,f3686])).
% 62.82/8.33 fof(f11116,plain,(
% 62.82/8.33 spl0_41|~spl0_275|~spl0_119),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11115,f2682,f7157,f3685])).
% 62.82/8.33 fof(f11118,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_169|~spl0_48),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f4755,f2750])).
% 62.82/8.33 fof(f11119,plain,(
% 62.82/8.33 $false|~spl0_169|~spl0_48),
% 62.82/8.33 inference(forward_subsumption_resolution,[status(thm)],[f11118,f4634])).
% 62.82/8.33 fof(f11120,plain,(
% 62.82/8.33 ~spl0_169|~spl0_48),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f11119])).
% 62.82/8.33 fof(f11121,plain,(
% 62.82/8.33 ~spl0_30|~spl0_110),
% 62.82/8.33 inference(split_clause,[status(thm)],[f5171,f2544,f3619])).
% 62.82/8.33 fof(f11122,plain,(
% 62.82/8.33 ~spl0_30|~spl0_144),
% 62.82/8.33 inference(split_clause,[status(thm)],[f5350,f2544,f4087])).
% 62.82/8.33 fof(f11123,plain,(
% 62.82/8.33 spl0_58|~spl0_11),
% 62.82/8.33 inference(split_clause,[status(thm)],[f3197,f3004,f2288])).
% 62.82/8.33 fof(f11125,plain,(
% 62.82/8.33 $false|~spl0_164),
% 62.82/8.33 inference(backward_subsumption_resolution,[status(thm)],[f2298,f4732])).
% 62.82/8.33 fof(f11126,plain,(
% 62.82/8.33 ~spl0_164),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f11125])).
% 62.82/8.33 fof(f11127,plain,(
% 62.82/8.33 ~sk0_91=v_y|~spl0_142|spl0_31),
% 62.82/8.33 inference(backward_demodulation,[status(thm)],[f4061,f2557])).
% 62.82/8.33 fof(f11128,plain,(
% 62.82/8.33 ~spl0_26|~spl0_142|spl0_31),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11127,f2484,f4060,f2555])).
% 62.82/8.33 fof(f11131,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_169|~spl0_37),
% 62.82/8.33 inference(backward_demodulation,[status(thm)],[f4755,f2669])).
% 62.82/8.33 fof(f11132,plain,(
% 62.82/8.33 spl0_41|~spl0_169|~spl0_37),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11131,f2682,f4754,f2668])).
% 62.82/8.33 fof(f11151,plain,(
% 62.82/8.33 pd0_10(v_y,v_x,v_y)|~spl0_26|~spl0_204),
% 62.82/8.33 inference(backward_demodulation,[status(thm)],[f2485,f5181])).
% 62.82/8.33 fof(f11213,plain,(
% 62.82/8.33 spl0_384 <=> sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),X0),v_L)|c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)=v_L|sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=X0),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f11216,plain,(
% 62.82/8.33 ![X0,X1,X2]: (sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),X0),v_L)|c_Set_Oinsert(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)=v_L|sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L))),
% 62.82/8.33 inference(resolution,[status(thm)],[f10510,f10570])).
% 62.82/8.33 fof(f11217,plain,(
% 62.82/8.33 spl0_384|spl0_365),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11216,f11213,f10533])).
% 62.82/8.33 fof(f11256,plain,(
% 62.82/8.33 v_x=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|v_x=v_x|v_y=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_221),
% 62.82/8.33 inference(resolution,[status(thm)],[f10509,f6560])).
% 62.82/8.33 fof(f11257,plain,(
% 62.82/8.33 spl0_46|spl0_28|spl0_22|spl0_90|~spl0_221),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11256,f2722,f2531,f2450,f3382,f5558])).
% 62.82/8.33 fof(f11268,plain,(
% 62.82/8.33 ![X0]: (v_y=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|v_y=v_y|~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_221)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10509,f5559])).
% 62.82/8.33 fof(f11269,plain,(
% 62.82/8.33 spl0_13|spl0_266|spl0_222|~spl0_221),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11268,f2394,f6801,f5607,f5558])).
% 62.82/8.33 fof(f11288,plain,(
% 62.82/8.33 spl0_386 <=> sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),X0),v_L)|X0=sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f11291,plain,(
% 62.82/8.33 ![X0,X1]: (sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),X0),v_L)|X0=sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L))),
% 62.82/8.33 inference(resolution,[status(thm)],[f10509,f10570])).
% 62.82/8.33 fof(f11292,plain,(
% 62.82/8.33 spl0_386|spl0_365),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11291,f11288,f10533])).
% 62.82/8.33 fof(f11294,plain,(
% 62.82/8.33 spl0_387 <=> X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f11297,plain,(
% 62.82/8.33 ![X0]: (X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|v_x=v_y|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10509,f8536])).
% 62.82/8.33 fof(f11298,plain,(
% 62.82/8.33 spl0_387|spl0_22|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11297,f11294,f2450,f3382])).
% 62.82/8.33 fof(f11434,plain,(
% 62.82/8.33 ~sk0_99(sk0_92,v_y)=v_x|~spl0_26|spl0_261),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f2485,f6567])).
% 62.82/8.33 fof(f11437,plain,(
% 62.82/8.33 sk0_92=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|spl0_41|~spl0_90),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f10495])).
% 62.82/8.33 fof(f11438,plain,(
% 62.82/8.33 spl0_54|spl0_290|spl0_41|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11437,f2966,f7614,f2682,f3382])).
% 62.82/8.33 fof(f11439,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)=v_L|sk0_92=v_x|spl0_41|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f10336])).
% 62.82/8.33 fof(f11440,plain,(
% 62.82/8.33 spl0_271|spl0_54|spl0_41|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11439,f7005,f2966,f2682,f3382])).
% 62.82/8.33 fof(f11441,plain,(
% 62.82/8.33 v_y=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|spl0_41|~spl0_90),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f8845])).
% 62.82/8.33 fof(f11442,plain,(
% 62.82/8.33 spl0_31|spl0_290|spl0_41|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11441,f2555,f7614,f2682,f3382])).
% 62.82/8.33 fof(f11443,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),v_y)=hAPP(X1,v_y)|sk0_92=v_x|spl0_41|~spl0_264)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f6689])).
% 62.82/8.33 fof(f11444,plain,(
% 62.82/8.33 spl0_273|spl0_54|spl0_41|~spl0_264),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11443,f7052,f2966,f2682,f6688])).
% 62.82/8.33 fof(f11445,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),v_y)=hAPP(X1,v_y)|sk0_92=v_y|spl0_41|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f6971])).
% 62.82/8.33 fof(f11446,plain,(
% 62.82/8.33 spl0_273|spl0_31|spl0_41|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11445,f7052,f2555,f2682,f3382])).
% 62.82/8.33 fof(f11447,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)=v_L|sk0_92=v_y|spl0_41|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f6981])).
% 62.82/8.33 fof(f11448,plain,(
% 62.82/8.33 spl0_271|spl0_31|spl0_41|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11447,f7005,f2555,f2682,f3382])).
% 62.82/8.33 fof(f11449,plain,(
% 62.82/8.33 spl0_389 <=> X0=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f11450,plain,(
% 62.82/8.33 ![X0]: (X0=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~spl0_389)),
% 62.82/8.33 inference(component_clause,[status(thm)],[f11449])).
% 62.82/8.33 fof(f11452,plain,(
% 62.82/8.33 ![X0]: (X0=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|sk0_92=v_x|spl0_41)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f10509])).
% 62.82/8.33 fof(f11453,plain,(
% 62.82/8.33 spl0_389|spl0_54|spl0_41),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11452,f11449,f2966,f2682])).
% 62.82/8.33 fof(f11455,plain,(
% 62.82/8.33 spl0_390 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_x)=hAPP(X1,v_x)|X2=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f11456,plain,(
% 62.82/8.33 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_x)=hAPP(X1,v_x)|X2=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)|~spl0_390)),
% 62.82/8.33 inference(component_clause,[status(thm)],[f11455])).
% 62.82/8.33 fof(f11458,plain,(
% 62.82/8.33 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),v_x)=hAPP(X1,v_x)|X2=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,sk0_92),v_L)|sk0_92=v_x|spl0_41)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f6319])).
% 62.82/8.33 fof(f11459,plain,(
% 62.82/8.33 spl0_390|spl0_54|spl0_41),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11458,f11455,f2966,f2682])).
% 62.82/8.33 fof(f11461,plain,(
% 62.82/8.33 spl0_391 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)=v_L|X1=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f11464,plain,(
% 62.82/8.33 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)=v_L|sk0_92=v_x|X1=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)|spl0_41)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f10056])).
% 62.82/8.33 fof(f11465,plain,(
% 62.82/8.33 spl0_391|spl0_54|spl0_41),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11464,f11461,f2966,f2682])).
% 62.82/8.33 fof(f11468,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)=v_L|sk0_92=v_x|spl0_41)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2684,f4681])).
% 62.82/8.33 fof(f11469,plain,(
% 62.82/8.33 spl0_300|spl0_54|spl0_41),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11468,f7830,f2966,f2682])).
% 62.82/8.33 fof(f11553,plain,(
% 62.82/8.33 ![X0,X1,X2,X3,X4]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),X3)=hAPP(X1,X3)|X2=X3|X4=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L)|X3=X2)),
% 62.82/8.33 inference(resolution,[status(thm)],[f6306,f10509])).
% 62.82/8.33 fof(f11554,plain,(
% 62.82/8.33 ![X0,X1,X2,X3,X4]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),X3)=hAPP(X1,X3)|X2=X3|X4=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L))),
% 62.82/8.33 inference(duplicate_literals_removal,[status(esa)],[f11553])).
% 62.82/8.33 fof(f11567,plain,(
% 62.82/8.33 spl0_392 <=> X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f11570,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(X0,v_y)=hAPP(X0,v_y)|v_x=v_y|X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~spl0_90)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f6519,f11554])).
% 62.82/8.33 fof(f11571,plain,(
% 62.82/8.33 spl0_334|spl0_22|spl0_392|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11570,f8868,f2450,f11567,f3382])).
% 62.82/8.33 fof(f11606,plain,(
% 62.82/8.33 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_26|~spl0_204),
% 62.82/8.33 inference(resolution,[status(thm)],[f11151,f2246])).
% 62.82/8.33 fof(f11607,plain,(
% 62.82/8.33 ~spl0_90|~spl0_26|~spl0_204),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11606,f3382,f2484,f5180])).
% 62.82/8.33 fof(f11608,plain,(
% 62.82/8.33 pd0_5(v_y,v_y)|~spl0_26|~spl0_87),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f2485,f3372])).
% 62.82/8.33 fof(f11609,plain,(
% 62.82/8.33 $false|~spl0_26|~spl0_87),
% 62.82/8.33 inference(forward_subsumption_resolution,[status(thm)],[f11608,f2390])).
% 62.82/8.33 fof(f11610,plain,(
% 62.82/8.33 ~spl0_26|~spl0_87),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f11609])).
% 62.82/8.33 fof(f11614,plain,(
% 62.82/8.33 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_26|spl0_30),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f2485,f2546])).
% 62.82/8.33 fof(f11615,plain,(
% 62.82/8.33 $false|~spl0_90|~spl0_26|spl0_30),
% 62.82/8.33 inference(forward_subsumption_resolution,[status(thm)],[f11614,f3383])).
% 62.82/8.33 fof(f11616,plain,(
% 62.82/8.33 ~spl0_90|~spl0_26|spl0_30),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f11615])).
% 62.82/8.33 fof(f11878,plain,(
% 62.82/8.33 sk0_92=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_25|~spl0_90),
% 62.82/8.33 inference(resolution,[status(thm)],[f2480,f10691])).
% 62.82/8.33 fof(f11879,plain,(
% 62.82/8.33 spl0_54|spl0_290|~spl0_25|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11878,f2966,f7614,f2479,f3382])).
% 62.82/8.33 fof(f11881,plain,(
% 62.82/8.33 v_y=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_25|~spl0_221),
% 62.82/8.33 inference(resolution,[status(thm)],[f2480,f6560])).
% 62.82/8.33 fof(f11882,plain,(
% 62.82/8.33 spl0_31|spl0_290|~spl0_25|~spl0_221),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11881,f2555,f7614,f2479,f5558])).
% 62.82/8.33 fof(f11883,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),v_x)=hAPP(X1,v_x)|sk0_92=v_x|~spl0_25)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2480,f6306])).
% 62.82/8.33 fof(f11884,plain,(
% 62.82/8.33 spl0_295|spl0_54|~spl0_25),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11883,f7740,f2966,f2479])).
% 62.82/8.33 fof(f11899,plain,(
% 62.82/8.33 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_25)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2480,f6182])).
% 62.82/8.33 fof(f11900,plain,(
% 62.82/8.33 spl0_322|~spl0_25),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11899,f8514,f2479])).
% 62.82/8.33 fof(f11913,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_26|~spl0_195),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f2485,f5083])).
% 62.82/8.33 fof(f11916,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),v_y)=hAPP(X1,v_y)|sk0_92=v_y|~spl0_26|~spl0_195)),
% 62.82/8.33 inference(resolution,[status(thm)],[f11913,f6306])).
% 62.82/8.33 fof(f11917,plain,(
% 62.82/8.33 spl0_273|spl0_31|~spl0_26|~spl0_195),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11916,f7052,f2555,f2484,f5082])).
% 62.82/8.33 fof(f11932,plain,(
% 62.82/8.33 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_26|~spl0_195)),
% 62.82/8.33 inference(resolution,[status(thm)],[f11913,f6182])).
% 62.82/8.33 fof(f11933,plain,(
% 62.82/8.33 spl0_291|~spl0_26|~spl0_195),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11932,f7621,f2484,f5082])).
% 62.82/8.33 fof(f11944,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),v_y)=hAPP(X1,v_y)|sk0_92=v_y|~spl0_290)),
% 62.82/8.33 inference(resolution,[status(thm)],[f7615,f6306])).
% 62.82/8.33 fof(f11945,plain,(
% 62.82/8.33 spl0_273|spl0_31|~spl0_290),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11944,f7052,f2555,f7614])).
% 62.82/8.33 fof(f11988,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(X0,sk0_92)=hAPP(X0,sk0_92)|v_x=sk0_92|X1=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_92),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)|~spl0_251)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f11554,f6282])).
% 62.82/8.33 fof(f11989,plain,(
% 62.82/8.33 spl0_294|spl0_54|spl0_389|~spl0_251),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11988,f7737,f2966,f11449,f6281])).
% 62.82/8.33 fof(f11992,plain,(
% 62.82/8.33 ![X0]: (hAPP(X0,sk0_92)=hAPP(X0,sk0_92)|v_x=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_251)),
% 62.82/8.33 inference(paramodulation,[status(thm)],[f5807,f6282])).
% 62.82/8.33 fof(f11993,plain,(
% 62.82/8.33 spl0_294|spl0_54|spl0_25|~spl0_251),
% 62.82/8.33 inference(split_clause,[status(thm)],[f11992,f7737,f2966,f2479,f6281])).
% 62.82/8.33 fof(f12027,plain,(
% 62.82/8.33 ![X0,X1]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|spl0_41)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2975,f4010])).
% 62.82/8.33 fof(f12098,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(sk0_92,v_y)),v_L)|~spl0_26|~spl0_117),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f2485,f3661])).
% 62.82/8.33 fof(f12101,plain,(
% 62.82/8.33 spl0_393 <=> sk0_99(sk0_92,v_y)=v_x),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12102,plain,(
% 62.82/8.33 sk0_99(sk0_92,v_y)=v_x|~spl0_393),
% 62.82/8.33 inference(component_clause,[status(thm)],[f12101])).
% 62.82/8.33 fof(f12115,plain,(
% 62.82/8.33 spl0_396 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_99(sk0_92,v_y)),v_x)=hAPP(X1,v_x)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12118,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_99(sk0_92,v_y)),v_x)=hAPP(X1,v_x)|sk0_99(sk0_92,v_y)=v_x|~spl0_26|~spl0_117)),
% 62.82/8.33 inference(resolution,[status(thm)],[f12098,f6306])).
% 62.82/8.33 fof(f12119,plain,(
% 62.82/8.33 spl0_396|spl0_393|~spl0_26|~spl0_117),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12118,f12115,f12101,f2484,f3660])).
% 62.82/8.33 fof(f12120,plain,(
% 62.82/8.33 spl0_397 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,v_y),v_x),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12140,plain,(
% 62.82/8.33 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,v_y),v_x),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,v_y),v_x),v_L)|~spl0_26|~spl0_117)),
% 62.82/8.33 inference(resolution,[status(thm)],[f12098,f6182])).
% 62.82/8.33 fof(f12141,plain,(
% 62.82/8.33 spl0_397|~spl0_26|~spl0_117),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12140,f12120,f2484,f3660])).
% 62.82/8.33 fof(f12150,plain,(
% 62.82/8.33 $false|~spl0_26|spl0_261|~spl0_393),
% 62.82/8.33 inference(forward_subsumption_resolution,[status(thm)],[f12102,f11434])).
% 62.82/8.33 fof(f12151,plain,(
% 62.82/8.33 ~spl0_26|spl0_261|~spl0_393),
% 62.82/8.33 inference(contradiction_clause,[status(thm)],[f12150])).
% 62.82/8.33 fof(f12337,plain,(
% 62.82/8.33 spl0_400 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),v_x)=hAPP(X1,v_x)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12342,plain,(
% 62.82/8.33 ![X0,X1,X2,X3,X4]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),v_x)=hAPP(X1,v_x)|v_x=sk0_92|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X3),v_L)|c_Set_Oinsert(X4,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L)=v_L|~spl0_390|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f11456,f7221])).
% 62.82/8.33 fof(f12343,plain,(
% 62.82/8.33 spl0_400|spl0_54|spl0_310|~spl0_390|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12342,f12337,f2966,f8218,f11455,f3382])).
% 62.82/8.33 fof(f12385,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),v_x)=hAPP(X1,v_x)|sk0_92=sk0_92|~spl0_390)),
% 62.82/8.33 inference(resolution,[status(thm)],[f11456,f4634])).
% 62.82/8.33 fof(f12386,plain,(
% 62.82/8.33 spl0_295|spl0_287|~spl0_390),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12385,f7740,f7507,f11455])).
% 62.82/8.33 fof(f12437,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_92),v_y)=hAPP(X1,v_y)|sk0_92=sk0_92|~spl0_290)),
% 62.82/8.33 inference(resolution,[status(thm)],[f7664,f4634])).
% 62.82/8.33 fof(f12438,plain,(
% 62.82/8.33 spl0_273|spl0_287|~spl0_290),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12437,f7052,f7507,f7614])).
% 62.82/8.33 fof(f12440,plain,(
% 62.82/8.33 spl0_401 <=> X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12443,plain,(
% 62.82/8.33 ![X0]: (X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X0),v_L)|v_x=sk0_97(sk0_92,v_y)|spl0_48)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2751,f10509])).
% 62.82/8.33 fof(f12444,plain,(
% 62.82/8.33 spl0_401|spl0_169|spl0_48),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12443,f12440,f4754,f2749])).
% 62.82/8.33 fof(f12446,plain,(
% 62.82/8.33 spl0_402 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_97(sk0_92,v_y))=hAPP(X1,sk0_97(sk0_92,v_y))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12449,plain,(
% 62.82/8.33 ![X0,X1,X2]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,X2),sk0_97(sk0_92,v_y))=hAPP(X1,sk0_97(sk0_92,v_y))|X2=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)|v_x=sk0_97(sk0_92,v_y)|spl0_48)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2751,f6319])).
% 62.82/8.33 fof(f12450,plain,(
% 62.82/8.33 spl0_402|spl0_169|spl0_48),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12449,f12446,f4754,f2749])).
% 62.82/8.33 fof(f12452,plain,(
% 62.82/8.33 spl0_403 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X1),v_L)=v_L|X1=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12455,plain,(
% 62.82/8.33 ![X0,X1]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),X1),v_L)=v_L|v_x=sk0_97(sk0_92,v_y)|X1=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|spl0_48)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2751,f10056])).
% 62.82/8.33 fof(f12456,plain,(
% 62.82/8.33 spl0_403|spl0_169|spl0_48),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12455,f12452,f4754,f2749])).
% 62.82/8.33 fof(f12459,plain,(
% 62.82/8.33 spl0_404 <=> c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)=v_L),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12462,plain,(
% 62.82/8.33 ![X0]: (c_Set_Oinsert(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)=v_L|v_x=sk0_97(sk0_92,v_y)|spl0_48)),
% 62.82/8.33 inference(resolution,[status(thm)],[f2751,f4681])).
% 62.82/8.33 fof(f12463,plain,(
% 62.82/8.33 spl0_404|spl0_169|spl0_48),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12462,f12459,f4754,f2749])).
% 62.82/8.33 fof(f12466,plain,(
% 62.82/8.33 sk0_92=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_92),v_L)|~spl0_357|~spl0_25),
% 62.82/8.33 inference(resolution,[status(thm)],[f10256,f2480])).
% 62.82/8.33 fof(f12467,plain,(
% 62.82/8.33 spl0_287|spl0_288|~spl0_357|~spl0_25),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12466,f7507,f7510,f10255,f2479])).
% 62.82/8.33 fof(f12471,plain,(
% 62.82/8.33 ![X0,X1]: (sk0_92=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_92),v_L)|hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,v_x),v_x)=hAPP(X1,v_x)|v_x=sk0_92|~spl0_357|~spl0_390)),
% 62.82/8.33 inference(resolution,[status(thm)],[f10256,f11456])).
% 62.82/8.33 fof(f12472,plain,(
% 62.82/8.33 spl0_287|spl0_288|spl0_400|spl0_54|~spl0_357|~spl0_390),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12471,f7507,f7510,f12337,f2966,f10255,f11455])).
% 62.82/8.33 fof(f12485,plain,(
% 62.82/8.33 sk0_92=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|v_x=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|v_x=v_x|~spl0_357),
% 62.82/8.33 inference(resolution,[status(thm)],[f10256,f10509])).
% 62.82/8.33 fof(f12486,plain,(
% 62.82/8.33 spl0_54|spl0_41|spl0_46|spl0_28|~spl0_357),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12485,f2966,f2682,f2722,f2531,f10255])).
% 62.82/8.33 fof(f12550,plain,(
% 62.82/8.33 v_x=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|sk0_92=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_389|~spl0_90),
% 62.82/8.33 inference(resolution,[status(thm)],[f11450,f10691])).
% 62.82/8.33 fof(f12551,plain,(
% 62.82/8.33 spl0_54|spl0_28|spl0_290|~spl0_389|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12550,f2966,f2531,f7614,f11449,f3382])).
% 62.82/8.33 fof(f12552,plain,(
% 62.82/8.33 ![X0,X1,X2]: (v_x=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|c_Set_Oinsert(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)=v_L|~spl0_389|~spl0_90)),
% 62.82/8.33 inference(resolution,[status(thm)],[f11450,f7221])).
% 62.82/8.33 fof(f12553,plain,(
% 62.82/8.33 spl0_54|spl0_28|spl0_310|~spl0_389|~spl0_90),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12552,f2966,f2531,f8218,f11449,f3382])).
% 62.82/8.33 fof(f12594,plain,(
% 62.82/8.33 ![X0,X1]: (X0=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~spl0_389)),
% 62.82/8.33 inference(resolution,[status(thm)],[f11450,f5244])).
% 62.82/8.33 fof(f12595,plain,(
% 62.82/8.33 sk0_92=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_389),
% 62.82/8.33 inference(resolution,[status(thm)],[f11450,f4634])).
% 62.82/8.33 fof(f12596,plain,(
% 62.82/8.33 spl0_287|spl0_25|~spl0_389),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12595,f7507,f2479,f11449])).
% 62.82/8.33 fof(f12640,plain,(
% 62.82/8.33 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|v_y=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|v_y=v_y|~spl0_290)),
% 62.82/8.33 inference(resolution,[status(thm)],[f7674,f10509])).
% 62.82/8.33 fof(f12641,plain,(
% 62.82/8.33 spl0_289|spl0_13|spl0_266|~spl0_290),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12640,f7607,f2394,f6801,f7614])).
% 62.82/8.33 fof(f12703,plain,(
% 62.82/8.33 ![X0,X1]: (X0=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~spl0_290)),
% 62.82/8.33 inference(resolution,[status(thm)],[f11021,f5244])).
% 62.82/8.33 fof(f12747,plain,(
% 62.82/8.33 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,v_y)),v_L)|~spl0_26|~spl0_119),
% 62.82/8.33 inference(forward_demodulation,[status(thm)],[f2485,f3686])).
% 62.82/8.33 fof(f12750,plain,(
% 62.82/8.33 spl0_405 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_97(sk0_92,v_y)),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12753,plain,(
% 62.82/8.33 sk0_97(sk0_92,v_y)=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_97(sk0_92,v_y)),v_L)|~spl0_26|~spl0_119|~spl0_290),
% 62.82/8.33 inference(resolution,[status(thm)],[f12747,f12703])).
% 62.82/8.33 fof(f12754,plain,(
% 62.82/8.33 spl0_151|spl0_405|~spl0_26|~spl0_119|~spl0_290),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12753,f4322,f12750,f2484,f3685,f7614])).
% 62.82/8.33 fof(f12755,plain,(
% 62.82/8.33 sk0_97(sk0_92,v_y)=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,v_y)),v_L)|~spl0_26|~spl0_119|~spl0_389),
% 62.82/8.33 inference(resolution,[status(thm)],[f12747,f12594])).
% 62.82/8.33 fof(f12756,plain,(
% 62.82/8.33 spl0_151|spl0_48|~spl0_26|~spl0_119|~spl0_389),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12755,f4322,f2749,f2484,f3685,f11449])).
% 62.82/8.33 fof(f12757,plain,(
% 62.82/8.33 v_x=sk0_97(sk0_92,v_y)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,v_y)),v_L)|~spl0_26|~spl0_119|spl0_41),
% 62.82/8.33 inference(resolution,[status(thm)],[f12747,f12027])).
% 62.82/8.33 fof(f12758,plain,(
% 62.82/8.33 spl0_169|spl0_48|~spl0_26|~spl0_119|spl0_41),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12757,f4754,f2749,f2484,f3685,f2682])).
% 62.82/8.33 fof(f12763,plain,(
% 62.82/8.33 spl0_406 <=> hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_97(sk0_92,v_y)),sk0_92)=hAPP(X1,sk0_92)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12766,plain,(
% 62.82/8.33 ![X0,X1]: (hAPP(c_Recdef_Ocut(tc_Arrow__Order__Mirabelle_Oalt,X0,X1,v_L,sk0_97(sk0_92,v_y)),sk0_92)=hAPP(X1,sk0_92)|sk0_97(sk0_92,v_y)=sk0_92|~spl0_26|~spl0_119)),
% 62.82/8.33 inference(resolution,[status(thm)],[f12747,f6306])).
% 62.82/8.33 fof(f12767,plain,(
% 62.82/8.33 spl0_406|spl0_151|~spl0_26|~spl0_119),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12766,f12763,f4322,f2484,f3685])).
% 62.82/8.33 fof(f12768,plain,(
% 62.82/8.33 spl0_407 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),sk0_92),v_L)),
% 62.82/8.33 introduced(split_symbol_definition)).
% 62.82/8.33 fof(f12785,plain,(
% 62.82/8.33 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),sk0_92),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),sk0_92),v_L)|~spl0_26|~spl0_119)),
% 62.82/8.33 inference(resolution,[status(thm)],[f12747,f6182])).
% 62.82/8.33 fof(f12786,plain,(
% 62.82/8.33 spl0_407|~spl0_26|~spl0_119),
% 62.82/8.33 inference(split_clause,[status(thm)],[f12785,f12768,f2484,f3685])).
% 62.82/8.33 fof(f12795,plain,(
% 62.82/8.33 $false),
% 62.82/8.33 inference(sat_refutation,[status(thm)],[f2253,f2260,f2267,f2271,f2275,f2279,f2283,f2287,f2291,f2398,f2483,f2488,f2523,f2535,f2537,f2548,f2559,f2628,f2632,f2636,f2643,f2686,f2690,f2692,f2694,f2697,f2701,f2729,f2733,f2753,f2755,f2763,f2784,f2792,f2794,f2873,f2973,f2980,f2982,f3016,f3027,f3038,f3067,f3074,f3080,f3158,f3180,f3192,f3216,f3234,f3257,f3261,f3288,f3319,f3330,f3386,f3390,f3395,f3402,f3544,f3550,f3555,f3560,f3565,f3570,f3575,f3580,f3585,f3590,f3597,f3603,f3608,f3613,f3618,f3626,f3631,f3642,f3648,f3654,f3659,f3664,f3673,f3675,f3677,f3679,f3681,f3697,f3705,f3712,f3717,f3722,f3727,f3735,f3740,f3745,f3753,f3760,f3764,f3904,f3933,f4067,f4086,f4094,f4107,f4110,f4115,f4201,f4203,f4206,f4217,f4231,f4244,f4258,f4272,f4282,f4284,f4329,f4387,f4412,f4440,f4533,f4587,f4735,f4758,f4763,f4768,f4773,f4781,f4786,f4791,f4796,f4804,f4809,f4814,f4822,f4829,f4834,f4878,f5013,f5029,f5057,f5086,f5091,f5107,f5112,f5116,f5157,f5162,f5164,f5166,f5178,f5187,f5189,f5216,f5218,f5347,f5349,f5353,f5390,f5447,f5467,f5640,f5688,f5708,f5843,f5880,f5892,f5907,f5909,f5911,f5915,f5918,f5977,f5982,f5987,f5994,f6003,f6005,f6007,f6011,f6014,f6016,f6023,f6028,f6033,f6040,f6184,f6285,f6291,f6356,f6362,f6367,f6372,f6379,f6382,f6387,f6389,f6441,f6454,f6506,f6528,f6576,f6590,f6641,f6687,f6697,f6756,f6758,f6805,f6807,f6812,f6827,f6832,f6847,f6874,f7009,f7099,f7128,f7161,f7166,f7172,f7177,f7182,f7189,f7195,f7200,f7545,f7676,f7694,f7700,f7796,f7800,f7848,f7853,f7855,f7861,f7868,f7873,f8142,f8264,f8269,f8274,f8280,f8285,f8290,f8294,f8297,f8299,f8316,f8330,f8344,f8354,f8426,f8459,f8491,f8538,f8606,f8608,f8614,f8619,f8624,f8631,f8637,f8665,f8806,f9143,f9149,f9154,f9159,f9173,f9175,f9186,f9194,f9209,f9215,f9291,f9445,f9450,f9456,f9461,f9466,f9473,f9479,f9484,f9581,f9585,f9592,f9641,f9643,f9647,f9906,f9936,f9985,f10063,f10192,f10197,f10229,f10234,f10236,f10240,f10244,f10246,f10449,f10454,f10459,f10468,f10548,f10558,f10572,f10574,f10740,f10950,f10970,f11070,f11083,f11105,f11111,f11114,f11116,f11120,f11121,f11122,f11123,f11126,f11128,f11132,f11217,f11257,f11269,f11292,f11298,f11438,f11440,f11442,f11444,f11446,f11448,f11453,f11459,f11465,f11469,f11571,f11607,f11610,f11616,f11879,f11882,f11884,f11900,f11917,f11933,f11945,f11989,f11993,f12119,f12141,f12151,f12343,f12386,f12438,f12444,f12450,f12456,f12463,f12467,f12472,f12486,f12551,f12553,f12596,f12641,f12754,f12756,f12758,f12767,f12786])).
% 62.82/8.34 % SZS output end CNFRefutation for theBenchmark.p
% 63.69/8.38 % Elapsed time: 8.024585 seconds
% 63.69/8.38 % CPU time: 63.319994 seconds
% 63.69/8.38 % Memory used: 402.790 MB
%------------------------------------------------------------------------------