%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT155+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:07:23 PM UTC 2026
% Result : Theorem 9.85s 1.85s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SCT155+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n011.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 04:34:40 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.27/0.52 % Drodi V4.1.1
% 9.85/1.85 % Refutation found
% 9.85/1.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.85/1.85 % SZS output start CNFRefutation for theBenchmark
% 9.85/1.85 fof(f4,axiom,(
% 9.85/1.85 v_a____ != v_b____ ),
% 9.85/1.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.85 fof(f5,axiom,(
% 9.85/1.85 v_a_H____ != v_b_H____ ),
% 9.85/1.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.85 fof(f6,axiom,(
% 9.85/1.85 ( v_a____ != v_b_H____& v_b____ != v_a_H____ ) ),
% 9.85/1.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.85 fof(f7,axiom,(
% 9.85/1.85 (! [B_i] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i)) ) )),
% 9.85/1.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.85 fof(f8,axiom,(
% 9.85/1.85 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf) ),
% 9.85/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.86 fof(f9,axiom,(
% 9.85/1.86 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) ),
% 9.85/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.86 fof(f13,axiom,(
% 9.85/1.86 (! [V_y_2,V_x_2,V_R_2,T_b,T_a] :( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))<=> c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2) ) )),
% 9.85/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.86 fof(f23,axiom,(
% 9.85/1.86 (! [V_A_2,V_x_2,T_a] :( c_member(T_a,V_x_2,V_A_2)<=> hBOOL(hAPP(V_A_2,V_x_2)) ) )),
% 9.85/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.86 fof(f24,axiom,(
% 9.85/1.86 (! [V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2] :( V_aa_2 != V_ba_2=> ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)=> ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)=> ( (! [B_i] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(V_P_Ha_2,B_i)) ))=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2)) ) ) ) ) ) )),
% 9.85/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.86 fof(f26,axiom,(
% 9.85/1.86 (! [V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2] :( V_aa_2 != V_ba_2=> ( V_a_Ha_2 != V_b_Ha_2=> ( V_aa_2 != V_b_Ha_2=> ( V_ba_2 != V_a_Ha_2=> ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)=> ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)=> ( (! [B_i] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)) ))=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2)) ) ) ) ) ) ) ) ) )),
% 9.85/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.86 fof(f28,axiom,(
% 9.85/1.86 (! [V_Fa_2] :( c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)<=> (! [B_x] :( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)=> (! [B_xa] :( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)=> (! [B_a,B_b] :( (! [B_i] :( c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))<=> c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i)) ))=> ( c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa)) ) ) )) )) )) )),
% 9.85/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.86 fof(f29,axiom,(
% 9.85/1.86 (! [V_Fa_2] :( c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)<=> (! [B_x] :( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)=> (! [B_a,B_b] :( (! [B_i] : c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i)))=> c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,B_x)) ) )) )) )),
% 9.85/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.86 fof(f529,conjecture,(
% 9.85/1.86 ( 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_a____,v_b____),hAPP(v_F,v_P____))<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)) ) ),
% 9.85/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.85/1.86 fof(f530,negated_conjecture,(
% 9.85/1.86 ~(( 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_a____,v_b____),hAPP(v_F,v_P____))<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)) ) )),
% 9.85/1.86 inference(negated_conjecture,[status(cth)],[f529])).
% 9.85/1.86 fof(f536,plain,(
% 9.85/1.86 ~v_a____=v_b____),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f4])).
% 9.85/1.86 fof(f537,plain,(
% 9.85/1.86 ~v_a_H____=v_b_H____),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f5])).
% 9.85/1.86 fof(f538,plain,(
% 9.85/1.86 ~v_a____=v_b_H____),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f6])).
% 9.85/1.86 fof(f539,plain,(
% 9.85/1.86 ~v_b____=v_a_H____),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f6])).
% 9.85/1.86 fof(f540,plain,(
% 9.85/1.86 ![B_i]: ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i)))&(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i))))),
% 9.85/1.86 inference(NNF_transformation,[status(thm)],[f7])).
% 9.85/1.86 fof(f541,plain,(
% 9.85/1.86 (![B_i]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i))))&(![B_i]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i))))),
% 9.85/1.86 inference(miniscoping,[status(thm)],[f540])).
% 9.85/1.86 fof(f542,plain,(
% 9.85/1.86 ![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_a____,v_b____),hAPP(v_P____,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_a_H____,v_b_H____),hAPP(v_P_H____,X0)))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f541])).
% 9.85/1.86 fof(f543,plain,(
% 9.85/1.86 ![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_a____,v_b____),hAPP(v_P____,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_a_H____,v_b_H____),hAPP(v_P_H____,X0)))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f541])).
% 9.85/1.86 fof(f544,plain,(
% 9.85/1.86 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f8])).
% 9.85/1.86 fof(f545,plain,(
% 9.85/1.86 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f9])).
% 9.85/1.86 fof(f572,plain,(
% 9.85/1.86 ![V_y_2,V_x_2,V_R_2,T_b,T_a]: ((~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2))&(hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))|~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2)))),
% 9.85/1.86 inference(NNF_transformation,[status(thm)],[f13])).
% 9.85/1.86 fof(f573,plain,(
% 9.85/1.86 (![V_y_2,V_x_2,V_R_2,T_b,T_a]: (~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2)))&(![V_y_2,V_x_2,V_R_2,T_b,T_a]: (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))|~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2)))),
% 9.85/1.86 inference(miniscoping,[status(thm)],[f572])).
% 9.85/1.86 fof(f574,plain,(
% 9.85/1.86 ![X0,X1,X2,X3,X4]: (~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X0,X1,X2),X3),X4))|c_member(tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X3,X4),X2))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f573])).
% 9.85/1.86 fof(f575,plain,(
% 9.85/1.86 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X0,X1,X2),X3),X4))|~c_member(tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X3,X4),X2))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f573])).
% 9.85/1.86 fof(f619,plain,(
% 9.85/1.86 ![V_A_2,V_x_2,T_a]: ((~c_member(T_a,V_x_2,V_A_2)|hBOOL(hAPP(V_A_2,V_x_2)))&(c_member(T_a,V_x_2,V_A_2)|~hBOOL(hAPP(V_A_2,V_x_2))))),
% 9.85/1.86 inference(NNF_transformation,[status(thm)],[f23])).
% 9.85/1.86 fof(f620,plain,(
% 9.85/1.86 (![V_A_2,V_x_2]: ((![T_a]: ~c_member(T_a,V_x_2,V_A_2))|hBOOL(hAPP(V_A_2,V_x_2))))&(![V_A_2,V_x_2]: ((![T_a]: c_member(T_a,V_x_2,V_A_2))|~hBOOL(hAPP(V_A_2,V_x_2))))),
% 9.85/1.86 inference(miniscoping,[status(thm)],[f619])).
% 9.85/1.86 fof(f621,plain,(
% 9.85/1.86 ![X0,X1,X2]: (~c_member(X0,X1,X2)|hBOOL(hAPP(X2,X1)))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f620])).
% 9.85/1.86 fof(f622,plain,(
% 9.85/1.86 ![X0,X1,X2]: (c_member(X0,X1,X2)|~hBOOL(hAPP(X2,X1)))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f620])).
% 9.85/1.86 fof(f623,plain,(
% 9.85/1.86 ![V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<~>c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(V_P_Ha_2,B_i))))|(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2)))))))),
% 9.85/1.86 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 9.85/1.86 fof(f624,definition,(
% 9.85/1.86 ![V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2,B_i]: (sP2_prd(B_i,V_aa_2,V_ba_2,V_Pa_2,V_P_Ha_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_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<~>c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(V_P_Ha_2,B_i))))),
% 9.85/1.86 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 9.85/1.86 fof(f625,plain,(
% 9.85/1.86 ![V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: sP2_prd(B_i,V_aa_2,V_ba_2,V_Pa_2,V_P_Ha_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_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2)))))))),
% 9.85/1.86 inference(formula_renaming,[status(thm)],[f623,f624])).
% 9.85/1.86 fof(f626,plain,(
% 9.85/1.86 ![V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: sP2_prd(B_i,V_aa_2,V_ba_2,V_Pa_2,V_P_Ha_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_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_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_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2))))))))),
% 9.85/1.86 inference(NNF_transformation,[status(thm)],[f625])).
% 9.85/1.86 fof(f627,plain,(
% 9.85/1.86 ![V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(![V_Pa_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(![V_P_Ha_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: sP2_prd(B_i,V_aa_2,V_ba_2,V_Pa_2,V_P_Ha_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_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_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_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2))))))))))),
% 9.85/1.86 inference(miniscoping,[status(thm)],[f626])).
% 9.85/1.86 fof(f628,plain,(
% 9.85/1.86 ![V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(![V_Pa_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(![V_P_Ha_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|(sP2_prd(sK6_skl(V_P_Ha_2,V_Pa_2,V_aa_2,V_ba_2),V_aa_2,V_ba_2,V_Pa_2,V_P_Ha_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_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_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_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2))))))))))),
% 9.85/1.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(B_i,sK6_skl(V_P_Ha_2,V_Pa_2,V_aa_2,V_ba_2))],[f627])).
% 9.85/1.86 fof(f629,plain,(
% 9.85/1.86 ![X0,X1,X2,X3]: (X0=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X3,X2,X0,X1),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),hAPP(v_F,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),hAPP(v_F,X3)))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f628])).
% 9.85/1.86 fof(f630,plain,(
% 9.85/1.86 ![X0,X1,X2,X3]: (X0=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X3,X2,X0,X1),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),hAPP(v_F,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),hAPP(v_F,X3)))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f628])).
% 9.85/1.86 fof(f639,plain,(
% 9.85/1.86 ![V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(V_a_Ha_2=V_b_Ha_2|(V_aa_2=V_b_Ha_2|(V_ba_2=V_a_Ha_2|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<~>c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i))))|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2))))))))))),
% 9.85/1.86 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 9.85/1.86 fof(f640,plain,(
% 9.85/1.86 ![V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(V_a_Ha_2=V_b_Ha_2|(V_aa_2=V_b_Ha_2|(V_ba_2=V_a_Ha_2|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)))&(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)))))|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2))))))))))),
% 9.85/1.86 inference(NNF_transformation,[status(thm)],[f639])).
% 9.85/1.86 fof(f641,plain,(
% 9.85/1.86 ![V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(![V_b_Ha_2,V_a_Ha_2]: (V_a_Ha_2=V_b_Ha_2|(V_aa_2=V_b_Ha_2|(V_ba_2=V_a_Ha_2|(![V_Pa_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(![V_P_Ha_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|((?[B_i]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)))&(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i)))))|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2)))))))))))))),
% 9.85/1.86 inference(miniscoping,[status(thm)],[f640])).
% 9.85/1.86 fof(f642,plain,(
% 9.85/1.86 ![V_ba_2,V_aa_2]: (V_aa_2=V_ba_2|(![V_b_Ha_2,V_a_Ha_2]: (V_a_Ha_2=V_b_Ha_2|(V_aa_2=V_b_Ha_2|(V_ba_2=V_a_Ha_2|(![V_Pa_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)|(![V_P_Ha_2]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,sK8_skl(V_P_Ha_2,V_Pa_2,V_a_Ha_2,V_b_Ha_2,V_aa_2,V_ba_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_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,sK8_skl(V_P_Ha_2,V_Pa_2,V_a_Ha_2,V_b_Ha_2,V_aa_2,V_ba_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_aa_2,V_ba_2),hAPP(V_Pa_2,sK8_skl(V_P_Ha_2,V_Pa_2,V_a_Ha_2,V_b_Ha_2,V_aa_2,V_ba_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_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,sK8_skl(V_P_Ha_2,V_Pa_2,V_a_Ha_2,V_b_Ha_2,V_aa_2,V_ba_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_aa_2,V_ba_2),hAPP(v_F,V_Pa_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_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2)))))))))))))),
% 9.85/1.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(B_i,sK8_skl(V_P_Ha_2,V_Pa_2,V_a_Ha_2,V_b_Ha_2,V_aa_2,V_ba_2))],[f641])).
% 9.85/1.86 fof(f643,plain,(
% 9.85/1.86 ![X0,X1,X2,X3,X4,X5]: (X0=X1|X2=X3|X0=X3|X1=X2|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(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),hAPP(X4,sK8_skl(X5,X4,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,X3),hAPP(X5,sK8_skl(X5,X4,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),hAPP(v_F,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,X3),hAPP(v_F,X5)))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f642])).
% 9.85/1.86 fof(f644,plain,(
% 9.85/1.86 ![X0,X1,X2,X3,X4,X5]: (X0=X1|X2=X3|X0=X3|X1=X2|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(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),hAPP(X4,sK8_skl(X5,X4,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,X3),hAPP(X5,sK8_skl(X5,X4,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),hAPP(v_F,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,X3),hAPP(v_F,X5)))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f642])).
% 9.85/1.86 fof(f646,plain,(
% 9.85/1.86 ![V_Fa_2]: (c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)<=>(![B_x]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|(![B_xa]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)|(![B_a,B_b]: ((?[B_i]: (c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))<~>c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i))))|(c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa))))))))))),
% 9.85/1.86 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 9.85/1.86 fof(f647,plain,(
% 9.85/1.86 ![V_Fa_2]: ((~c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|(![B_x]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|(![B_xa]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)|(![B_a,B_b]: ((?[B_i]: ((c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))|c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i)))&(~c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))|~c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i)))))|((~c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa)))&(c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa)))))))))))&(c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|(?[B_x]: (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)&(?[B_xa]: (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)&(?[B_a,B_b]: ((![B_i]: ((~c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))|c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i)))&(c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))|~c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i)))))&((~c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa)))&(c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa))))))))))))),
% 9.85/1.86 inference(NNF_transformation,[status(thm)],[f646])).
% 9.85/1.86 fof(f648,plain,(
% 9.85/1.86 (![V_Fa_2]: (~c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|(![B_x]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|(![B_xa]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)|(![B_a,B_b]: ((?[B_i]: ((c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))|c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i)))&(~c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))|~c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i)))))|((~c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa)))&(c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa))))))))))))&(![V_Fa_2]: (c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|(?[B_x]: (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)&(?[B_xa]: (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)&(?[B_a,B_b]: (((![B_i]: (~c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))|c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i))))&(![B_i]: (c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i))|~c_member(tc_prod(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_a,B_b),hAPP(B_xa,B_i)))))&((~c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa)))&(c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa))))))))))))),
% 9.85/1.86 inference(miniscoping,[status(thm)],[f647])).
% 9.85/1.86 fof(f649,plain,(
% 9.85/1.86 (![V_Fa_2]: (~c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|(![B_x]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|(![B_xa]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)|(![B_a,B_b]: (((c_member(tc_prod(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_a,B_b),hAPP(B_x,sK9_skl(B_b,B_a,B_xa,B_x,V_Fa_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,B_a,B_b),hAPP(B_xa,sK9_skl(B_b,B_a,B_xa,B_x,V_Fa_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,B_a,B_b),hAPP(B_x,sK9_skl(B_b,B_a,B_xa,B_x,V_Fa_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,B_a,B_b),hAPP(B_xa,sK9_skl(B_b,B_a,B_xa,B_x,V_Fa_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,B_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa)))&(c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,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_a,B_b),hAPP(V_Fa_2,B_xa))))))))))))&(![V_Fa_2]: (c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(V_Fa_2),c_Arrow__Order__Mirabelle_OProf)&(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(V_Fa_2),c_Arrow__Order__Mirabelle_OProf)&(((![B_i]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK12_skl(V_Fa_2),sK13_skl(V_Fa_2)),hAPP(sK10_skl(V_Fa_2),B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK12_skl(V_Fa_2),sK13_skl(V_Fa_2)),hAPP(sK11_skl(V_Fa_2),B_i))))&(![B_i]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK12_skl(V_Fa_2),sK13_skl(V_Fa_2)),hAPP(sK10_skl(V_Fa_2),B_i))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK12_skl(V_Fa_2),sK13_skl(V_Fa_2)),hAPP(sK11_skl(V_Fa_2),B_i)))))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK12_skl(V_Fa_2),sK13_skl(V_Fa_2)),hAPP(V_Fa_2,sK10_skl(V_Fa_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,sK12_skl(V_Fa_2),sK13_skl(V_Fa_2)),hAPP(V_Fa_2,sK11_skl(V_Fa_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,sK12_skl(V_Fa_2),sK13_skl(V_Fa_2)),hAPP(V_Fa_2,sK10_skl(V_Fa_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,sK12_skl(V_Fa_2),sK13_skl(V_Fa_2)),hAPP(V_Fa_2,sK11_skl(V_Fa_2))))))))))),
% 9.85/1.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl]),skolemize(B_i,sK9_skl(B_b,B_a,B_xa,B_x,V_Fa_2)),skolemize(B_x,sK10_skl(V_Fa_2)),skolemize(B_xa,sK11_skl(V_Fa_2)),skolemize(B_a,sK12_skl(V_Fa_2)),skolemize(B_b,sK13_skl(V_Fa_2))],[f648])).
% 9.85/1.86 fof(f654,plain,(
% 9.85/1.86 ![X0]: (c_Arrow__Order__Mirabelle_OIIA(X0)|c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f649])).
% 9.85/1.86 fof(f655,plain,(
% 9.85/1.86 ![X0]: (c_Arrow__Order__Mirabelle_OIIA(X0)|c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f649])).
% 9.85/1.86 fof(f660,plain,(
% 9.85/1.86 ![V_Fa_2]: (c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)<=>(![B_x]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|(![B_a,B_b]: ((?[B_i]: ~c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i)))|c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,B_x)))))))),
% 9.85/1.86 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 9.85/1.86 fof(f661,plain,(
% 9.85/1.86 ![V_Fa_2]: ((~c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|(![B_x]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|(![B_a,B_b]: ((?[B_i]: ~c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i)))|c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,B_x)))))))&(c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|(?[B_x]: (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)&(?[B_a,B_b]: ((![B_i]: c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i)))&~c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,B_x))))))))),
% 9.85/1.86 inference(NNF_transformation,[status(thm)],[f660])).
% 9.85/1.86 fof(f662,plain,(
% 9.85/1.86 (![V_Fa_2]: (~c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|(![B_x]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|(![B_a,B_b]: ((?[B_i]: ~c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i)))|c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,B_x))))))))&(![V_Fa_2]: (c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|(?[B_x]: (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)&(?[B_a,B_b]: ((![B_i]: c_member(tc_prod(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_a,B_b),hAPP(B_x,B_i)))&~c_member(tc_prod(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_a,B_b),hAPP(V_Fa_2,B_x))))))))),
% 9.85/1.86 inference(miniscoping,[status(thm)],[f661])).
% 9.85/1.86 fof(f663,plain,(
% 9.85/1.86 (![V_Fa_2]: (~c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|(![B_x]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|(![B_a,B_b]: (~c_member(tc_prod(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_a,B_b),hAPP(B_x,sK14_skl(B_b,B_a,B_x,V_Fa_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,B_a,B_b),hAPP(V_Fa_2,B_x))))))))&(![V_Fa_2]: (c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(V_Fa_2),c_Arrow__Order__Mirabelle_OProf)&((![B_i]: c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK16_skl(V_Fa_2),sK17_skl(V_Fa_2)),hAPP(sK15_skl(V_Fa_2),B_i)))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK16_skl(V_Fa_2),sK17_skl(V_Fa_2)),hAPP(V_Fa_2,sK15_skl(V_Fa_2)))))))),
% 9.85/1.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl,sK17_skl]),skolemize(B_i,sK14_skl(B_b,B_a,B_x,V_Fa_2)),skolemize(B_x,sK15_skl(V_Fa_2)),skolemize(B_a,sK16_skl(V_Fa_2)),skolemize(B_b,sK17_skl(V_Fa_2))],[f662])).
% 9.85/1.86 fof(f665,plain,(
% 9.85/1.86 ![X0]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f663])).
% 9.85/1.86 fof(f2121,plain,(
% 9.85/1.86 (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_a____,v_b____),hAPP(v_F,v_P____))<~>c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)))),
% 9.85/1.86 inference(pre_NNF_transformation,[status(thm)],[f530])).
% 9.85/1.86 fof(f2122,plain,(
% 9.85/1.86 (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_a____,v_b____),hAPP(v_F,v_P____))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)))&(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)))),
% 9.85/1.86 inference(NNF_transformation,[status(thm)],[f2121])).
% 9.85/1.86 fof(f2123,plain,(
% 9.85/1.86 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_a____,v_b____),hAPP(v_F,v_P____))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f2122])).
% 9.85/1.86 fof(f2124,plain,(
% 9.85/1.86 ~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_a____,v_b____),hAPP(v_F,v_P____))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))),
% 9.85/1.86 inference(cnf_transformation,[status(thm)],[f2122])).
% 9.85/1.86 fof(f2157,definition,(
% 9.85/1.86 sQ0_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____)))),
% 9.85/1.86 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 9.85/1.86 fof(f2158,plain,(
% 9.85/1.86 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_a____,v_b____),hAPP(v_F,v_P____))|~sQ0_spl),
% 9.85/1.86 inference(component_clause,[status(thm)],[f2157])).
% 9.85/1.86 fof(f2160,definition,(
% 9.85/1.86 sQ1_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)))),
% 9.85/1.86 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 9.85/1.86 fof(f2161,plain,(
% 9.85/1.86 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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))|~sQ1_spl),
% 9.85/1.86 inference(component_clause,[status(thm)],[f2160])).
% 9.85/1.86 fof(f2163,plain,(
% 9.85/1.86 sQ0_spl|sQ1_spl),
% 9.85/1.86 inference(split_clause,[status(thm)],[f2123,f2157,f2160])).
% 9.85/1.86 fof(f2164,plain,(
% 9.85/1.86 ~sQ0_spl|~sQ1_spl),
% 9.85/1.86 inference(split_clause,[status(thm)],[f2124,f2157,f2160])).
% 9.85/1.86 fof(f2264,plain,(
% 9.85/1.86 ![X0]: (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P_H____,X0)),v_a_H____),v_b_H____))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X0)))),
% 9.85/1.86 inference(resolution,[status(thm)],[f575,f542])).
% 9.85/1.86 fof(f2324,plain,(
% 9.85/1.86 ![X0,X1,X2,X3]: (~c_member(X0,X1,X2)|c_member(X3,X1,X2))),
% 9.85/1.86 inference(resolution,[status(thm)],[f621,f622])).
% 9.85/1.86 fof(f2325,plain,(
% 9.85/1.86 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,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_a____,v_b____),hAPP(v_P____,X1)))),
% 9.85/1.86 inference(resolution,[status(thm)],[f2324,f543])).
% 9.85/1.86 fof(f2327,plain,(
% 9.85/1.86 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,X1))|hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P_H____,X1)),v_a_H____),v_b_H____)))),
% 9.85/1.86 inference(resolution,[status(thm)],[f2324,f2264])).
% 9.85/1.86 fof(f2340,plain,(
% 9.85/1.86 ![X0]: (v_a_H____=v_b_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,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_b_H____,v_a_H____),hAPP(v_F,X0))|~sQ1_spl)),
% 9.85/1.86 inference(resolution,[status(thm)],[f629,f2161])).
% 9.85/1.86 fof(f2342,definition,(
% 9.85/1.86 sQ5_spl <=> (v_a_H____=v_b_H____)),
% 9.85/1.86 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 9.85/1.86 fof(f2343,plain,(
% 9.85/1.86 v_a_H____=v_b_H____|~sQ5_spl),
% 9.85/1.86 inference(component_clause,[status(thm)],[f2342])).
% 9.85/1.86 fof(f2345,definition,(
% 9.85/1.86 sQ6_spl <=> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf))),
% 9.85/1.86 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 9.85/1.86 fof(f2347,plain,(
% 9.85/1.86 ~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|sQ6_spl),
% 9.85/1.86 inference(component_clause,[status(thm)],[f2345])).
% 9.85/1.86 fof(f2348,definition,(
% 9.85/1.86 ![X0]: (sQ7_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,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_b_H____,v_a_H____),hAPP(v_F,X0))))),
% 9.85/1.86 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 9.85/1.86 fof(f2349,plain,(
% 9.85/1.86 ![X0]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,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_b_H____,v_a_H____),hAPP(v_F,X0))|~sQ7_spl)),
% 9.85/1.86 inference(component_clause,[status(thm)],[f2348])).
% 9.85/1.86 fof(f2351,plain,(
% 9.85/1.86 sQ5_spl|~sQ6_spl|sQ7_spl|~sQ1_spl),
% 9.85/1.86 inference(split_clause,[status(thm)],[f2340,f2342,f2345,f2348,f2160])).
% 9.85/1.86 fof(f2352,plain,(
% 9.85/1.86 ![X0]: (v_b_H____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_b_H____,v_a_H____),v_b_H____,v_a_H____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,X0))|~sQ1_spl)),
% 9.85/1.86 inference(resolution,[status(thm)],[f630,f2161])).
% 9.85/1.86 fof(f2354,definition,(
% 9.85/1.86 ![X0]: (sQ8_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_b_H____,v_a_H____),v_b_H____,v_a_H____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,X0))))),
% 9.85/1.86 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 9.85/1.86 fof(f2355,plain,(
% 9.85/1.86 ![X0]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_b_H____,v_a_H____),v_b_H____,v_a_H____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,X0))|~sQ8_spl)),
% 9.85/1.86 inference(component_clause,[status(thm)],[f2354])).
% 9.85/1.86 fof(f2357,plain,(
% 9.85/1.86 sQ5_spl|sQ8_spl|~sQ6_spl|~sQ1_spl),
% 9.85/1.86 inference(split_clause,[status(thm)],[f2352,f2342,f2354,f2345,f2160])).
% 9.85/1.86 fof(f2358,plain,(
% 9.85/1.86 $false|sQ6_spl),
% 9.85/1.86 inference(forward_subsumption_resolution,[status(thm)],[f2347,f545])).
% 9.85/1.86 fof(f2359,plain,(
% 9.85/1.86 sQ6_spl),
% 9.85/1.86 inference(contradiction_clause,[status(thm)],[f2358])).
% 9.85/1.86 fof(f2360,plain,(
% 9.85/1.86 $false|~sQ5_spl),
% 9.85/1.86 inference(forward_subsumption_resolution,[status(thm)],[f2343,f537])).
% 9.85/1.86 fof(f2361,plain,(
% 9.85/1.86 ~sQ5_spl),
% 9.85/1.86 inference(contradiction_clause,[status(thm)],[f2360])).
% 9.85/1.86 fof(f2364,plain,(
% 9.85/1.86 ![X0]: (v_b____=v_a____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P____,X0,v_b____,v_a____),v_b____,v_a____,X0,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))|~sQ0_spl)),
% 9.85/1.86 inference(resolution,[status(thm)],[f2158,f630])).
% 9.85/1.86 fof(f2365,plain,(
% 9.85/1.86 ![X0]: (v_a____=v_b____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P____,v_a____,v_b____),v_a____,v_b____,v_P____,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_b____,v_a____),hAPP(v_F,X0))|~sQ0_spl)),
% 9.85/1.86 inference(resolution,[status(thm)],[f2158,f629])).
% 9.85/1.86 fof(f2367,definition,(
% 9.85/1.86 sQ9_spl <=> (v_b____=v_a____)),
% 9.85/1.86 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 9.85/1.86 fof(f2368,plain,(
% 9.85/1.86 v_b____=v_a____|~sQ9_spl),
% 9.85/1.86 inference(component_clause,[status(thm)],[f2367])).
% 9.85/1.86 fof(f2370,definition,(
% 9.85/1.86 ![X0]: (sQ10_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P____,X0,v_b____,v_a____),v_b____,v_a____,X0,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2371,plain,(
% 9.85/1.87 ![X0]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P____,X0,v_b____,v_a____),v_b____,v_a____,X0,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))|~sQ10_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2370])).
% 9.85/1.87 fof(f2373,definition,(
% 9.85/1.87 sQ11_spl <=> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2375,plain,(
% 9.85/1.87 ~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|sQ11_spl),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2373])).
% 9.85/1.87 fof(f2376,plain,(
% 9.85/1.87 sQ9_spl|sQ10_spl|~sQ11_spl|~sQ0_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2364,f2367,f2370,f2373,f2157])).
% 9.85/1.87 fof(f2377,definition,(
% 9.85/1.87 ![X0]: (sQ12_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P____,v_a____,v_b____),v_a____,v_b____,v_P____,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_b____,v_a____),hAPP(v_F,X0))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2378,plain,(
% 9.85/1.87 ![X0]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P____,v_a____,v_b____),v_a____,v_b____,v_P____,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_b____,v_a____),hAPP(v_F,X0))|~sQ12_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2377])).
% 9.85/1.87 fof(f2380,plain,(
% 9.85/1.87 sQ9_spl|~sQ11_spl|sQ12_spl|~sQ0_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2365,f2367,f2373,f2377,f2157])).
% 9.85/1.87 fof(f2381,plain,(
% 9.85/1.87 $false|sQ11_spl),
% 9.85/1.87 inference(forward_subsumption_resolution,[status(thm)],[f2375,f544])).
% 9.85/1.87 fof(f2382,plain,(
% 9.85/1.87 sQ11_spl),
% 9.85/1.87 inference(contradiction_clause,[status(thm)],[f2381])).
% 9.85/1.87 fof(f2383,plain,(
% 9.85/1.87 $false|~sQ9_spl),
% 9.85/1.87 inference(forward_subsumption_resolution,[status(thm)],[f2368,f536])).
% 9.85/1.87 fof(f2384,plain,(
% 9.85/1.87 ~sQ9_spl),
% 9.85/1.87 inference(contradiction_clause,[status(thm)],[f2383])).
% 9.85/1.87 fof(f2389,plain,(
% 9.85/1.87 sP2_prd(sK6_skl(v_P____,v_P_H____,v_b____,v_a____),v_b____,v_a____,v_P_H____,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))|~sQ10_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2371,f545])).
% 9.85/1.87 fof(f2390,plain,(
% 9.85/1.87 sP2_prd(sK6_skl(v_P____,v_P____,v_b____,v_a____),v_b____,v_a____,v_P____,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))|~sQ10_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2371,f544])).
% 9.85/1.87 fof(f2392,definition,(
% 9.85/1.87 sQ13_spl <=> (sP2_prd(sK6_skl(v_P____,v_P_H____,v_b____,v_a____),v_b____,v_a____,v_P_H____,v_P____))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2395,definition,(
% 9.85/1.87 sQ14_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____)))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2396,plain,(
% 9.85/1.87 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))|~sQ14_spl),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2395])).
% 9.85/1.87 fof(f2398,plain,(
% 9.85/1.87 sQ13_spl|sQ14_spl|~sQ10_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2389,f2392,f2395,f2370])).
% 9.85/1.87 fof(f2399,definition,(
% 9.85/1.87 sQ15_spl <=> (sP2_prd(sK6_skl(v_P____,v_P____,v_b____,v_a____),v_b____,v_a____,v_P____,v_P____))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2402,definition,(
% 9.85/1.87 sQ16_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____)))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2403,plain,(
% 9.85/1.87 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))|~sQ16_spl),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2402])).
% 9.85/1.87 fof(f2405,plain,(
% 9.85/1.87 sQ15_spl|sQ16_spl|~sQ10_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2390,f2399,f2402,f2370])).
% 9.85/1.87 fof(f2406,plain,(
% 9.85/1.87 sP2_prd(sK6_skl(v_P_H____,v_P____,v_a____,v_b____),v_a____,v_b____,v_P____,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P_H____))|~sQ12_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2378,f545])).
% 9.85/1.87 fof(f2407,plain,(
% 9.85/1.87 sP2_prd(sK6_skl(v_P____,v_P____,v_a____,v_b____),v_a____,v_b____,v_P____,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,v_P____))|~sQ12_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2378,f544])).
% 9.85/1.87 fof(f2409,definition,(
% 9.85/1.87 sQ17_spl <=> (sP2_prd(sK6_skl(v_P_H____,v_P____,v_a____,v_b____),v_a____,v_b____,v_P____,v_P_H____))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2412,plain,(
% 9.85/1.87 sQ17_spl|sQ14_spl|~sQ12_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2406,f2409,f2395,f2377])).
% 9.85/1.87 fof(f2413,definition,(
% 9.85/1.87 sQ18_spl <=> (sP2_prd(sK6_skl(v_P____,v_P____,v_a____,v_b____),v_a____,v_b____,v_P____,v_P____))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2416,plain,(
% 9.85/1.87 sQ18_spl|sQ16_spl|~sQ12_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2407,f2413,f2402,f2377])).
% 9.85/1.87 fof(f2418,plain,(
% 9.85/1.87 ![X0]: (v_a____=v_b____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_a____,v_b____),v_a____,v_b____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X0))|~sQ14_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f2396,f630])).
% 9.85/1.87 fof(f2421,definition,(
% 9.85/1.87 ![X0]: (sQ19_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_a____,v_b____),v_a____,v_b____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X0))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2422,plain,(
% 9.85/1.87 ![X0]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_a____,v_b____),v_a____,v_b____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X0))|~sQ19_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2421])).
% 9.85/1.87 fof(f2424,plain,(
% 9.85/1.87 sQ9_spl|sQ19_spl|~sQ6_spl|~sQ14_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2418,f2367,f2421,f2345,f2395])).
% 9.85/1.87 fof(f2425,definition,(
% 9.85/1.87 ![X0]: (sQ20_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P_H____,v_b____,v_a____),v_b____,v_a____,v_P_H____,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_a____,v_b____),hAPP(v_F,X0))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2426,plain,(
% 9.85/1.87 ![X0]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P_H____,v_b____,v_a____),v_b____,v_a____,v_P_H____,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_a____,v_b____),hAPP(v_F,X0))|~sQ20_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2425])).
% 9.85/1.87 fof(f2429,plain,(
% 9.85/1.87 ![X0]: (v_a____=v_b____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P____,X0,v_a____,v_b____),v_a____,v_b____,X0,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X0))|~sQ16_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f2403,f630])).
% 9.85/1.87 fof(f2430,plain,(
% 9.85/1.87 ![X0]: (v_b____=v_a____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P____,v_b____,v_a____),v_b____,v_a____,v_P____,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_a____,v_b____),hAPP(v_F,X0))|~sQ16_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f2403,f629])).
% 9.85/1.87 fof(f2432,definition,(
% 9.85/1.87 ![X0]: (sQ21_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P____,X0,v_a____,v_b____),v_a____,v_b____,X0,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X0))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2433,plain,(
% 9.85/1.87 ![X0]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P____,X0,v_a____,v_b____),v_a____,v_b____,X0,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,X0))|~sQ21_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2432])).
% 9.85/1.87 fof(f2435,plain,(
% 9.85/1.87 sQ9_spl|sQ21_spl|~sQ11_spl|~sQ16_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2429,f2367,f2432,f2373,f2402])).
% 9.85/1.87 fof(f2436,definition,(
% 9.85/1.87 ![X0]: (sQ22_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P____,v_b____,v_a____),v_b____,v_a____,v_P____,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_a____,v_b____),hAPP(v_F,X0))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2437,plain,(
% 9.85/1.87 ![X0]: (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P____,v_b____,v_a____),v_b____,v_a____,v_P____,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_a____,v_b____),hAPP(v_F,X0))|~sQ22_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2436])).
% 9.85/1.87 fof(f2439,plain,(
% 9.85/1.87 sQ9_spl|~sQ11_spl|sQ22_spl|~sQ16_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2430,f2367,f2373,f2436,f2402])).
% 9.85/1.87 fof(f2441,plain,(
% 9.85/1.87 ![X0,X1,X2]: (v_a____=v_b____|X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ0_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f643,f2158])).
% 9.85/1.87 fof(f2443,definition,(
% 9.85/1.87 ![X0,X1,X2]: (sQ23_spl <=> (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2444,plain,(
% 9.85/1.87 ![X0,X1,X2]: (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ23_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2443])).
% 9.85/1.87 fof(f2446,plain,(
% 9.85/1.87 sQ9_spl|sQ23_spl|~sQ11_spl|~sQ0_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2441,f2367,f2443,f2373,f2157])).
% 9.85/1.87 fof(f2447,plain,(
% 9.85/1.87 ![X0,X1,X2]: (v_a____=v_b____|X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ0_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f644,f2158])).
% 9.85/1.87 fof(f2449,definition,(
% 9.85/1.87 ![X0,X1,X2]: (sQ24_spl <=> (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2450,plain,(
% 9.85/1.87 ![X0,X1,X2]: (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ24_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2449])).
% 9.85/1.87 fof(f2452,plain,(
% 9.85/1.87 sQ9_spl|sQ24_spl|~sQ11_spl|~sQ0_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2447,f2367,f2449,f2373,f2157])).
% 9.85/1.87 fof(f2453,plain,(
% 9.85/1.87 ![X0,X1]: (X0=X1|v_a____=X1|v_b____=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_a____,v_b____),hAPP(v_P____,sK8_skl(v_P_H____,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,v_P_H____))|~sQ23_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f2444,f545])).
% 9.85/1.87 fof(f2471,plain,(
% 9.85/1.87 v_a_H____=v_b_H____|v_a____=v_b_H____|v_b____=v_a_H____|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|~sQ23_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2453,f2325])).
% 9.85/1.87 fof(f2476,definition,(
% 9.85/1.87 sQ26_spl <=> (v_a____=v_b_H____)),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2477,plain,(
% 9.85/1.87 v_a____=v_b_H____|~sQ26_spl),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2476])).
% 9.85/1.87 fof(f2479,definition,(
% 9.85/1.87 sQ27_spl <=> (v_b____=v_a_H____)),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2480,plain,(
% 9.85/1.87 v_b____=v_a_H____|~sQ27_spl),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2479])).
% 9.85/1.87 fof(f2482,definition,(
% 9.85/1.87 sQ28_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2483,plain,(
% 9.85/1.87 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|~sQ28_spl),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2482])).
% 9.85/1.87 fof(f2485,plain,(
% 9.85/1.87 sQ5_spl|sQ26_spl|sQ27_spl|sQ28_spl|sQ1_spl|~sQ23_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2471,f2342,f2476,f2479,f2482,f2160,f2443])).
% 9.85/1.87 fof(f2492,plain,(
% 9.85/1.87 v_a_H____=v_b_H____|v_a____=v_b_H____|v_b____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))|~sQ28_spl|~sQ24_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2483,f2450])).
% 9.85/1.87 fof(f2494,plain,(
% 9.85/1.87 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P_H____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____))),v_a_H____),v_b_H____))|~sQ28_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2483,f2327])).
% 9.85/1.87 fof(f2495,definition,(
% 9.85/1.87 sQ29_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2497,plain,(
% 9.85/1.87 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|sQ29_spl),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2495])).
% 9.85/1.87 fof(f2498,plain,(
% 9.85/1.87 sQ5_spl|sQ26_spl|sQ27_spl|~sQ6_spl|~sQ29_spl|sQ1_spl|~sQ28_spl|~sQ24_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2492,f2342,f2476,f2479,f2345,f2495,f2160,f2482,f2449])).
% 9.85/1.87 fof(f2499,plain,(
% 9.85/1.87 $false|~sQ27_spl),
% 9.85/1.87 inference(forward_subsumption_resolution,[status(thm)],[f2480,f539])).
% 9.85/1.87 fof(f2500,plain,(
% 9.85/1.87 ~sQ27_spl),
% 9.85/1.87 inference(contradiction_clause,[status(thm)],[f2499])).
% 9.85/1.87 fof(f2501,plain,(
% 9.85/1.87 $false|~sQ26_spl),
% 9.85/1.87 inference(forward_subsumption_resolution,[status(thm)],[f2477,f538])).
% 9.85/1.87 fof(f2502,plain,(
% 9.85/1.87 ~sQ26_spl),
% 9.85/1.87 inference(contradiction_clause,[status(thm)],[f2501])).
% 9.85/1.87 fof(f2504,plain,(
% 9.85/1.87 ![X0,X1,X2]: (v_a_H____=v_b_H____|X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ1_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f2161,f644])).
% 9.85/1.87 fof(f2505,plain,(
% 9.85/1.87 ![X0,X1,X2]: (v_a_H____=v_b_H____|X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ1_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f2161,f643])).
% 9.85/1.87 fof(f2509,definition,(
% 9.85/1.87 ![X0,X1,X2]: (sQ30_spl <=> (X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2510,plain,(
% 9.85/1.87 ![X0,X1,X2]: (X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ30_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2509])).
% 9.85/1.87 fof(f2512,plain,(
% 9.85/1.87 sQ5_spl|sQ30_spl|~sQ6_spl|~sQ1_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2504,f2342,f2509,f2345,f2160])).
% 9.85/1.87 fof(f2513,definition,(
% 9.85/1.87 ![X0,X1,X2]: (sQ31_spl <=> (X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.87 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 9.85/1.87 fof(f2514,plain,(
% 9.85/1.87 ![X0,X1,X2]: (X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ31_spl)),
% 9.85/1.87 inference(component_clause,[status(thm)],[f2513])).
% 9.85/1.87 fof(f2516,plain,(
% 9.85/1.87 sQ5_spl|sQ31_spl|~sQ6_spl|~sQ1_spl),
% 9.85/1.87 inference(split_clause,[status(thm)],[f2505,f2342,f2513,f2345,f2160])).
% 9.85/1.87 fof(f2547,plain,(
% 9.85/1.87 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|~sQ28_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2494,f574])).
% 9.85/1.87 fof(f2551,plain,(
% 9.85/1.87 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P____,v_a_H____,v_b_H____,v_a____,v_b____)))|sQ29_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f2497,f2324])).
% 9.85/1.87 fof(f2610,plain,(
% 9.85/1.87 $false|sQ29_spl|~sQ28_spl),
% 9.85/1.87 inference(forward_subsumption_resolution,[status(thm)],[f2547,f2551])).
% 9.85/1.87 fof(f2611,plain,(
% 9.85/1.87 sQ29_spl|~sQ28_spl),
% 9.85/1.87 inference(contradiction_clause,[status(thm)],[f2610])).
% 9.85/1.87 fof(f2622,plain,(
% 9.85/1.87 ![X0]: (sP2_prd(sK6_skl(sK11_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK11_skl(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_b_H____,v_a_H____),hAPP(v_F,sK11_skl(X0)))|c_Arrow__Order__Mirabelle_OIIA(X0)|~sQ7_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f2349,f655])).
% 9.85/1.87 fof(f2623,plain,(
% 9.85/1.87 ![X0]: (sP2_prd(sK6_skl(sK10_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK10_skl(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_b_H____,v_a_H____),hAPP(v_F,sK10_skl(X0)))|c_Arrow__Order__Mirabelle_OIIA(X0)|~sQ7_spl)),
% 9.85/1.87 inference(resolution,[status(thm)],[f2349,f654])).
% 9.85/1.87 fof(f2624,plain,(
% 9.85/1.87 sP2_prd(sK6_skl(v_P_H____,v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,v_P_H____))|~sQ7_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2349,f545])).
% 9.85/1.87 fof(f2625,plain,(
% 9.85/1.87 sP2_prd(sK6_skl(v_P____,v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,v_P____))|~sQ7_spl),
% 9.85/1.87 inference(resolution,[status(thm)],[f2349,f544])).
% 9.85/1.88 fof(f2627,definition,(
% 9.85/1.88 sQ36_spl <=> (sP2_prd(sK6_skl(v_P_H____,v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,v_P_H____))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2630,definition,(
% 9.85/1.88 sQ37_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,v_P_H____)))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2631,plain,(
% 9.85/1.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,v_P_H____))|~sQ37_spl),
% 9.85/1.88 inference(component_clause,[status(thm)],[f2630])).
% 9.85/1.88 fof(f2633,plain,(
% 9.85/1.88 sQ36_spl|sQ37_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2624,f2627,f2630,f2348])).
% 9.85/1.88 fof(f2634,definition,(
% 9.85/1.88 sQ38_spl <=> (sP2_prd(sK6_skl(v_P____,v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,v_P____))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2637,definition,(
% 9.85/1.88 sQ39_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,v_P____)))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2638,plain,(
% 9.85/1.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,v_P____))|~sQ39_spl),
% 9.85/1.88 inference(component_clause,[status(thm)],[f2637])).
% 9.85/1.88 fof(f2640,plain,(
% 9.85/1.88 sQ38_spl|sQ39_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2625,f2634,f2637,f2348])).
% 9.85/1.88 fof(f2641,plain,(
% 9.85/1.88 ![X0]: (sP2_prd(sK6_skl(v_P_H____,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(X0),v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,sK11_skl(X0)))|c_Arrow__Order__Mirabelle_OIIA(X0)|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2355,f655])).
% 9.85/1.88 fof(f2642,plain,(
% 9.85/1.88 ![X0]: (sP2_prd(sK6_skl(v_P_H____,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(X0),v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,sK10_skl(X0)))|c_Arrow__Order__Mirabelle_OIIA(X0)|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2355,f654])).
% 9.85/1.88 fof(f2643,plain,(
% 9.85/1.88 sP2_prd(sK6_skl(v_P_H____,v_P_H____,v_b_H____,v_a_H____),v_b_H____,v_a_H____,v_P_H____,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,v_P_H____))|~sQ8_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f2355,f545])).
% 9.85/1.88 fof(f2644,plain,(
% 9.85/1.88 sP2_prd(sK6_skl(v_P_H____,v_P____,v_b_H____,v_a_H____),v_b_H____,v_a_H____,v_P____,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,v_P____))|~sQ8_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f2355,f544])).
% 9.85/1.88 fof(f2646,definition,(
% 9.85/1.88 sQ40_spl <=> (sP2_prd(sK6_skl(v_P_H____,v_P_H____,v_b_H____,v_a_H____),v_b_H____,v_a_H____,v_P_H____,v_P_H____))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2649,plain,(
% 9.85/1.88 sQ40_spl|sQ37_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2643,f2646,f2630,f2354])).
% 9.85/1.88 fof(f2650,definition,(
% 9.85/1.88 sQ41_spl <=> (sP2_prd(sK6_skl(v_P_H____,v_P____,v_b_H____,v_a_H____),v_b_H____,v_a_H____,v_P____,v_P_H____))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2653,plain,(
% 9.85/1.88 sQ41_spl|sQ39_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2644,f2650,f2637,f2354])).
% 9.85/1.88 fof(f2654,plain,(
% 9.85/1.88 ![X0,X1,X2]: (v_b_H____=v_a_H____|X0=X1|v_b_H____=X1|v_a_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ39_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2638,f644])).
% 9.85/1.88 fof(f2655,plain,(
% 9.85/1.88 ![X0,X1,X2]: (v_b_H____=v_a_H____|X0=X1|v_b_H____=X1|v_a_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ39_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2638,f643])).
% 9.85/1.88 fof(f2656,plain,(
% 9.85/1.88 ![X0]: (v_a_H____=v_b_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P____,X0,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X0,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,X0))|~sQ39_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2638,f630])).
% 9.85/1.88 fof(f2657,plain,(
% 9.85/1.88 ![X0]: (v_b_H____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P____,v_b_H____,v_a_H____),v_b_H____,v_a_H____,v_P____,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_a_H____,v_b_H____),hAPP(v_F,X0))|~sQ39_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2638,f629])).
% 9.85/1.88 fof(f2659,definition,(
% 9.85/1.88 ![X0,X1,X2]: (sQ42_spl <=> (X0=X1|v_b_H____=X1|v_a_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2662,plain,(
% 9.85/1.88 sQ5_spl|sQ42_spl|~sQ11_spl|~sQ39_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2654,f2342,f2659,f2373,f2637])).
% 9.85/1.88 fof(f2663,definition,(
% 9.85/1.88 ![X0,X1,X2]: (sQ43_spl <=> (X0=X1|v_b_H____=X1|v_a_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_P____,sK8_skl(X2,v_P____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2666,plain,(
% 9.85/1.88 sQ5_spl|sQ43_spl|~sQ11_spl|~sQ39_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2655,f2342,f2663,f2373,f2637])).
% 9.85/1.88 fof(f2667,definition,(
% 9.85/1.88 ![X0]: (sQ44_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P____,X0,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X0,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,X0))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2670,plain,(
% 9.85/1.88 sQ5_spl|sQ44_spl|~sQ11_spl|~sQ39_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2656,f2342,f2667,f2373,f2637])).
% 9.85/1.88 fof(f2671,definition,(
% 9.85/1.88 ![X0]: (sQ45_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P____,v_b_H____,v_a_H____),v_b_H____,v_a_H____,v_P____,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_a_H____,v_b_H____),hAPP(v_F,X0))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2674,plain,(
% 9.85/1.88 sQ5_spl|~sQ11_spl|sQ45_spl|~sQ39_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2657,f2342,f2373,f2671,f2637])).
% 9.85/1.88 fof(f2675,plain,(
% 9.85/1.88 ![X0,X1,X2]: (v_b_H____=v_a_H____|X0=X1|v_b_H____=X1|v_a_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ37_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2631,f644])).
% 9.85/1.88 fof(f2676,plain,(
% 9.85/1.88 ![X0,X1,X2]: (v_b_H____=v_a_H____|X0=X1|v_b_H____=X1|v_a_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ37_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2631,f643])).
% 9.85/1.88 fof(f2677,plain,(
% 9.85/1.88 ![X0]: (v_a_H____=v_b_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,X0))|~sQ37_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2631,f630])).
% 9.85/1.88 fof(f2678,plain,(
% 9.85/1.88 ![X0]: (v_b_H____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P_H____,v_b_H____,v_a_H____),v_b_H____,v_a_H____,v_P_H____,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_a_H____,v_b_H____),hAPP(v_F,X0))|~sQ37_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2631,f629])).
% 9.85/1.88 fof(f2680,definition,(
% 9.85/1.88 ![X0,X1,X2]: (sQ46_spl <=> (X0=X1|v_b_H____=X1|v_a_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2683,plain,(
% 9.85/1.88 sQ5_spl|sQ46_spl|~sQ6_spl|~sQ37_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2675,f2342,f2680,f2345,f2630])).
% 9.85/1.88 fof(f2684,definition,(
% 9.85/1.88 ![X0,X1,X2]: (sQ47_spl <=> (X0=X1|v_b_H____=X1|v_a_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2687,plain,(
% 9.85/1.88 sQ5_spl|sQ47_spl|~sQ6_spl|~sQ37_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2676,f2342,f2684,f2345,f2630])).
% 9.85/1.88 fof(f2688,definition,(
% 9.85/1.88 ![X0]: (sQ48_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,X0))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2691,plain,(
% 9.85/1.88 sQ5_spl|sQ48_spl|~sQ6_spl|~sQ37_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2677,f2342,f2688,f2345,f2630])).
% 9.85/1.88 fof(f2692,definition,(
% 9.85/1.88 ![X0]: (sQ49_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P_H____,v_b_H____,v_a_H____),v_b_H____,v_a_H____,v_P_H____,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_a_H____,v_b_H____),hAPP(v_F,X0))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2695,plain,(
% 9.85/1.88 sQ5_spl|~sQ6_spl|sQ49_spl|~sQ37_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2678,f2342,f2345,f2692,f2630])).
% 9.85/1.88 fof(f2734,plain,(
% 9.85/1.88 ![X0,X1,X2]: (X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,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,v_a____,v_b____),hAPP(v_P____,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|~sQ30_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2510,f542])).
% 9.85/1.88 fof(f2735,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|~sQ30_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2510,f2324])).
% 9.85/1.88 fof(f2741,plain,(
% 9.85/1.88 ![X0,X1]: (X0=X1|v_a_H____=X1|v_b_H____=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_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P_H____))|~sQ31_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2514,f545])).
% 9.85/1.88 fof(f2742,plain,(
% 9.85/1.88 ![X0,X1]: (X0=X1|v_a_H____=X1|v_b_H____=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_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P____))|~sQ31_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2514,f544])).
% 9.85/1.88 fof(f2766,plain,(
% 9.85/1.88 ![X0]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(v_P_H____,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(X0),v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(v_F,sK15_skl(X0)))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f665,f2355])).
% 9.85/1.88 fof(f2767,plain,(
% 9.85/1.88 ![X0]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(sK15_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK15_skl(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_b_H____,v_a_H____),hAPP(v_F,sK15_skl(X0)))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f665,f2349])).
% 9.85/1.88 fof(f2778,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sP2_prd(sK6_skl(sK11_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK11_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK11_skl(X0),sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2622,f644])).
% 9.85/1.88 fof(f2779,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sP2_prd(sK6_skl(sK11_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK11_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK11_skl(X0),sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2622,f643])).
% 9.85/1.88 fof(f2780,plain,(
% 9.85/1.88 ![X0,X1]: (sP2_prd(sK6_skl(sK11_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK11_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|v_a_H____=v_b_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK11_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK11_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2622,f630])).
% 9.85/1.88 fof(f2781,plain,(
% 9.85/1.88 ![X0,X1]: (sP2_prd(sK6_skl(sK11_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK11_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2622,f629])).
% 9.85/1.88 fof(f2783,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ61_spl <=> (sP2_prd(sK6_skl(sK11_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK11_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK11_skl(X0),sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2786,plain,(
% 9.85/1.88 sQ61_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2778,f2783,f2342,f2348])).
% 9.85/1.88 fof(f2787,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ62_spl <=> (sP2_prd(sK6_skl(sK11_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK11_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK11_skl(X0),sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2790,plain,(
% 9.85/1.88 sQ62_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2779,f2787,f2342,f2348])).
% 9.85/1.88 fof(f2791,definition,(
% 9.85/1.88 ![X0,X1]: (sQ63_spl <=> (sP2_prd(sK6_skl(sK11_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK11_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK11_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK11_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2794,plain,(
% 9.85/1.88 sQ63_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2780,f2791,f2342,f2348])).
% 9.85/1.88 fof(f2795,definition,(
% 9.85/1.88 ![X0,X1]: (sQ64_spl <=> (sP2_prd(sK6_skl(sK11_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK11_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2798,plain,(
% 9.85/1.88 sQ64_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2781,f2795,f2342,f2348])).
% 9.85/1.88 fof(f2803,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sP2_prd(sK6_skl(sK10_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK10_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK10_skl(X0),sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2623,f644])).
% 9.85/1.88 fof(f2804,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sP2_prd(sK6_skl(sK10_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK10_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK10_skl(X0),sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2623,f643])).
% 9.85/1.88 fof(f2805,plain,(
% 9.85/1.88 ![X0,X1]: (sP2_prd(sK6_skl(sK10_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK10_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|v_a_H____=v_b_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK10_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK10_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2623,f630])).
% 9.85/1.88 fof(f2806,plain,(
% 9.85/1.88 ![X0,X1]: (sP2_prd(sK6_skl(sK10_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK10_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2623,f629])).
% 9.85/1.88 fof(f2808,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ65_spl <=> (sP2_prd(sK6_skl(sK10_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK10_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK10_skl(X0),sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2811,plain,(
% 9.85/1.88 sQ65_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2803,f2808,f2342,f2348])).
% 9.85/1.88 fof(f2812,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ66_spl <=> (sP2_prd(sK6_skl(sK10_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK10_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK10_skl(X0),sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2815,plain,(
% 9.85/1.88 sQ66_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2804,f2812,f2342,f2348])).
% 9.85/1.88 fof(f2816,definition,(
% 9.85/1.88 ![X0,X1]: (sQ67_spl <=> (sP2_prd(sK6_skl(sK10_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK10_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK10_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK10_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2819,plain,(
% 9.85/1.88 sQ67_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2805,f2816,f2342,f2348])).
% 9.85/1.88 fof(f2820,definition,(
% 9.85/1.88 ![X0,X1]: (sQ68_spl <=> (sP2_prd(sK6_skl(sK10_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK10_skl(X0))|c_Arrow__Order__Mirabelle_OIIA(X0)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2823,plain,(
% 9.85/1.88 sQ68_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2806,f2820,f2342,f2348])).
% 9.85/1.88 fof(f2849,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sP2_prd(sK6_skl(v_P_H____,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK11_skl(X0),sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2641,f644])).
% 9.85/1.88 fof(f2850,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sP2_prd(sK6_skl(v_P_H____,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK11_skl(X0),sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2641,f643])).
% 9.85/1.88 fof(f2851,plain,(
% 9.85/1.88 ![X0,X1]: (sP2_prd(sK6_skl(v_P_H____,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|v_a_H____=v_b_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK11_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK11_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2641,f630])).
% 9.85/1.88 fof(f2852,plain,(
% 9.85/1.88 ![X0,X1]: (sP2_prd(sK6_skl(v_P_H____,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2641,f629])).
% 9.85/1.88 fof(f2854,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ71_spl <=> (sP2_prd(sK6_skl(v_P_H____,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK11_skl(X0),sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2857,plain,(
% 9.85/1.88 sQ71_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2849,f2854,f2342,f2354])).
% 9.85/1.88 fof(f2858,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ72_spl <=> (sP2_prd(sK6_skl(v_P_H____,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK11_skl(X0),sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK11_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2861,plain,(
% 9.85/1.88 sQ72_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2850,f2858,f2342,f2354])).
% 9.85/1.88 fof(f2862,definition,(
% 9.85/1.88 ![X0,X1]: (sQ73_spl <=> (sP2_prd(sK6_skl(v_P_H____,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK11_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK11_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2865,plain,(
% 9.85/1.88 sQ73_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2851,f2862,f2342,f2354])).
% 9.85/1.88 fof(f2866,definition,(
% 9.85/1.88 ![X0,X1]: (sQ74_spl <=> (sP2_prd(sK6_skl(v_P_H____,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK11_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK11_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK11_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2869,plain,(
% 9.85/1.88 sQ74_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2852,f2866,f2342,f2354])).
% 9.85/1.88 fof(f2882,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sP2_prd(sK6_skl(v_P_H____,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK10_skl(X0),sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2642,f644])).
% 9.85/1.88 fof(f2883,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sP2_prd(sK6_skl(v_P_H____,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK10_skl(X0),sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2642,f643])).
% 9.85/1.88 fof(f2884,plain,(
% 9.85/1.88 ![X0,X1]: (sP2_prd(sK6_skl(v_P_H____,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|v_a_H____=v_b_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK10_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK10_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2642,f630])).
% 9.85/1.88 fof(f2885,plain,(
% 9.85/1.88 ![X0,X1]: (sP2_prd(sK6_skl(v_P_H____,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|v_b_H____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2642,f629])).
% 9.85/1.88 fof(f2887,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ75_spl <=> (sP2_prd(sK6_skl(v_P_H____,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK10_skl(X0),sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2890,plain,(
% 9.85/1.88 sQ75_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2882,f2887,f2342,f2354])).
% 9.85/1.88 fof(f2891,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ76_spl <=> (sP2_prd(sK6_skl(v_P_H____,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK10_skl(X0),sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK10_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2894,plain,(
% 9.85/1.88 sQ76_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2883,f2891,f2342,f2354])).
% 9.85/1.88 fof(f2895,definition,(
% 9.85/1.88 ![X0,X1]: (sQ77_spl <=> (sP2_prd(sK6_skl(v_P_H____,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK10_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK10_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2898,plain,(
% 9.85/1.88 sQ77_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2884,f2895,f2342,f2354])).
% 9.85/1.88 fof(f2899,definition,(
% 9.85/1.88 ![X0,X1]: (sQ78_spl <=> (sP2_prd(sK6_skl(v_P_H____,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(X0),v_P_H____)|c_Arrow__Order__Mirabelle_OIIA(X0)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK10_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK10_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK10_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2902,plain,(
% 9.85/1.88 sQ78_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2885,f2899,f2342,f2354])).
% 9.85/1.88 fof(f2935,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(v_P_H____,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(X0),v_P_H____)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK15_skl(X0),sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2766,f644])).
% 9.85/1.88 fof(f2936,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(v_P_H____,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(X0),v_P_H____)|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK15_skl(X0),sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2766,f643])).
% 9.85/1.88 fof(f2937,plain,(
% 9.85/1.88 ![X0,X1]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(v_P_H____,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(X0),v_P_H____)|v_a_H____=v_b_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK15_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK15_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2766,f630])).
% 9.85/1.88 fof(f2938,plain,(
% 9.85/1.88 ![X0,X1]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(v_P_H____,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(X0),v_P_H____)|v_b_H____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ8_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2766,f629])).
% 9.85/1.88 fof(f2940,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ82_spl <=> (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(v_P_H____,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(X0),v_P_H____)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK15_skl(X0),sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2943,plain,(
% 9.85/1.88 sQ82_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2935,f2940,f2342,f2354])).
% 9.85/1.88 fof(f2944,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ83_spl <=> (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(v_P_H____,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(X0),v_P_H____)|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK15_skl(X0),sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2947,plain,(
% 9.85/1.88 sQ83_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2936,f2944,f2342,f2354])).
% 9.85/1.88 fof(f2948,definition,(
% 9.85/1.88 ![X0,X1]: (sQ84_spl <=> (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(v_P_H____,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(X0),v_P_H____)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK15_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK15_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2951,plain,(
% 9.85/1.88 sQ84_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2937,f2948,f2342,f2354])).
% 9.85/1.88 fof(f2952,definition,(
% 9.85/1.88 ![X0,X1]: (sQ85_spl <=> (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(v_P_H____,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(X0),v_P_H____)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2955,plain,(
% 9.85/1.88 sQ85_spl|sQ5_spl|~sQ8_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2938,f2952,f2342,f2354])).
% 9.85/1.88 fof(f2962,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(sK15_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK15_skl(X0))|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK15_skl(X0),sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2767,f644])).
% 9.85/1.88 fof(f2963,plain,(
% 9.85/1.88 ![X0,X1,X2,X3]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(sK15_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK15_skl(X0))|v_b_H____=v_a_H____|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK15_skl(X0),sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2767,f643])).
% 9.85/1.88 fof(f2964,plain,(
% 9.85/1.88 ![X0,X1]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(sK15_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK15_skl(X0))|v_a_H____=v_b_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK15_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK15_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2767,f630])).
% 9.85/1.88 fof(f2965,plain,(
% 9.85/1.88 ![X0,X1]: (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(sK15_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK15_skl(X0))|v_b_H____=v_a_H____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))|~sQ7_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2767,f629])).
% 9.85/1.88 fof(f2967,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ86_spl <=> (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(sK15_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK15_skl(X0))|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK15_skl(X0),sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|~c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2970,plain,(
% 9.85/1.88 sQ86_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2962,f2967,f2342,f2348])).
% 9.85/1.88 fof(f2971,definition,(
% 9.85/1.88 ![X0,X1,X2,X3]: (sQ87_spl <=> (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(sK15_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK15_skl(X0))|X1=X2|v_b_H____=X2|v_a_H____=X1|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b_H____,v_a_H____),hAPP(sK15_skl(X0),sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(X3,sK8_skl(X3,sK15_skl(X0),X1,X2,v_b_H____,v_a_H____)))|c_member(tc_prod(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),hAPP(v_F,X3))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2974,plain,(
% 9.85/1.88 sQ87_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2963,f2971,f2342,f2348])).
% 9.85/1.88 fof(f2975,definition,(
% 9.85/1.88 ![X0,X1]: (sQ88_spl <=> (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(sK15_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK15_skl(X0))|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(sK15_skl(X0),X1,v_a_H____,v_b_H____),v_a_H____,v_b_H____,X1,sK15_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2978,plain,(
% 9.85/1.88 sQ88_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2964,f2975,f2342,f2348])).
% 9.85/1.88 fof(f2979,definition,(
% 9.85/1.88 ![X0,X1]: (sQ89_spl <=> (c_Arrow__Order__Mirabelle_Ounanimity(X0)|sP2_prd(sK6_skl(sK15_skl(X0),v_P_H____,v_a_H____,v_b_H____),v_a_H____,v_b_H____,v_P_H____,sK15_skl(X0))|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK15_skl(X0),c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X1,sK15_skl(X0),v_b_H____,v_a_H____),v_b_H____,v_a_H____,sK15_skl(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_a_H____,v_b_H____),hAPP(v_F,X1))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f2982,plain,(
% 9.85/1.88 sQ89_spl|sQ5_spl|~sQ7_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f2965,f2979,f2342,f2348])).
% 9.85/1.88 fof(f3008,plain,(
% 9.85/1.88 sP2_prd(sK6_skl(v_P_H____,v_P_H____,v_a____,v_b____),v_a____,v_b____,v_P_H____,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))|~sQ19_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f2422,f545])).
% 9.85/1.88 fof(f3009,plain,(
% 9.85/1.88 sP2_prd(sK6_skl(v_P_H____,v_P____,v_a____,v_b____),v_a____,v_b____,v_P____,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~sQ19_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f2422,f544])).
% 9.85/1.88 fof(f3011,definition,(
% 9.85/1.88 sQ90_spl <=> (sP2_prd(sK6_skl(v_P_H____,v_P_H____,v_a____,v_b____),v_a____,v_b____,v_P_H____,v_P_H____))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3014,definition,(
% 9.85/1.88 sQ91_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____)))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3015,plain,(
% 9.85/1.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))|~sQ91_spl),
% 9.85/1.88 inference(component_clause,[status(thm)],[f3014])).
% 9.85/1.88 fof(f3017,plain,(
% 9.85/1.88 sQ90_spl|sQ91_spl|~sQ19_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3008,f3011,f3014,f2421])).
% 9.85/1.88 fof(f3018,plain,(
% 9.85/1.88 sQ17_spl|sQ0_spl|~sQ19_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3009,f2409,f2157,f2421])).
% 9.85/1.88 fof(f3019,plain,(
% 9.85/1.88 ![X0,X1,X2]: (v_a____=v_b____|X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a____,v_b____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ91_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f3015,f644])).
% 9.85/1.88 fof(f3020,plain,(
% 9.85/1.88 ![X0,X1,X2]: (v_a____=v_b____|X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))|~sQ91_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f3015,f643])).
% 9.85/1.88 fof(f3021,plain,(
% 9.85/1.88 ![X0]: (v_b____=v_a____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_b____,v_a____),v_b____,v_a____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))|~sQ91_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f3015,f630])).
% 9.85/1.88 fof(f3022,plain,(
% 9.85/1.88 ![X0]: (v_a____=v_b____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P_H____,v_a____,v_b____),v_a____,v_b____,v_P_H____,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_b____,v_a____),hAPP(v_F,X0))|~sQ91_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f3015,f629])).
% 9.85/1.88 fof(f3024,definition,(
% 9.85/1.88 ![X0,X1,X2]: (sQ92_spl <=> (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a____,v_b____)))|~c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3027,plain,(
% 9.85/1.88 sQ9_spl|sQ92_spl|~sQ6_spl|~sQ91_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3019,f2367,f3024,f2345,f3014])).
% 9.85/1.88 fof(f3028,definition,(
% 9.85/1.88 ![X0,X1,X2]: (sQ93_spl <=> (X0=X1|v_a____=X1|v_b____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P_H____,sK8_skl(X2,v_P_H____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(X2,sK8_skl(X2,v_P_H____,X0,X1,v_a____,v_b____)))|c_member(tc_prod(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),hAPP(v_F,X2))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3031,plain,(
% 9.85/1.88 sQ9_spl|sQ93_spl|~sQ6_spl|~sQ91_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3020,f2367,f3028,f2345,f3014])).
% 9.85/1.88 fof(f3032,definition,(
% 9.85/1.88 ![X0]: (sQ94_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(v_P_H____,X0,v_b____,v_a____),v_b____,v_a____,X0,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,X0))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3035,plain,(
% 9.85/1.88 sQ9_spl|sQ94_spl|~sQ6_spl|~sQ91_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3021,f2367,f3032,f2345,f3014])).
% 9.85/1.88 fof(f3036,definition,(
% 9.85/1.88 ![X0]: (sQ95_spl <=> (~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)|sP2_prd(sK6_skl(X0,v_P_H____,v_a____,v_b____),v_a____,v_b____,v_P_H____,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_b____,v_a____),hAPP(v_F,X0))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3039,plain,(
% 9.85/1.88 sQ9_spl|~sQ6_spl|sQ95_spl|~sQ91_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3022,f2367,f2345,f3036,f3014])).
% 9.85/1.88 fof(f3043,plain,(
% 9.85/1.88 ![X0,X1]: (X0=X1|v_a_H____=X1|v_b_H____=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,X1),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P_H____))|X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(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),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P_H____))|~sQ31_spl|~sQ30_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2741,f2735])).
% 9.85/1.88 fof(f3058,definition,(
% 9.85/1.88 ![X0,X1]: (sQ98_spl <=> (X0=X1|v_a_H____=X1|v_b_H____=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,X1),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P_H____))|X0=X1|v_a_H____=X1|v_b_H____=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,X1),hAPP(v_P_H____,sK8_skl(v_P_H____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P_H____))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3061,plain,(
% 9.85/1.88 sQ98_spl|~sQ6_spl|~sQ31_spl|~sQ30_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3043,f3058,f2345,f2513,f2509])).
% 9.85/1.88 fof(f3070,plain,(
% 9.85/1.88 ![X0,X1]: (X0=X1|v_a_H____=X1|v_b_H____=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,X1),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P____))|X0=X1|v_a_H____=X1|v_b_H____=X0|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(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),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P____))|~sQ31_spl|~sQ30_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f2742,f2735])).
% 9.85/1.88 fof(f3072,plain,(
% 9.85/1.88 v_a____=v_b____|v_a_H____=v_b____|v_b_H____=v_a____|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|v_a____=v_b____|v_a_H____=v_b____|v_b_H____=v_a____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~sQ31_spl|~sQ30_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f2742,f2734])).
% 9.85/1.88 fof(f3075,definition,(
% 9.85/1.88 ![X0,X1]: (sQ100_spl <=> (X0=X1|v_a_H____=X1|v_b_H____=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,X1),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P____))|X0=X1|v_a_H____=X1|v_b_H____=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,X1),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,X0,X1,v_a_H____,v_b_H____)))|c_member(tc_prod(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),hAPP(v_F,v_P____))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3078,plain,(
% 9.85/1.88 sQ100_spl|~sQ11_spl|~sQ31_spl|~sQ30_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3070,f3075,f2373,f2513,f2509])).
% 9.85/1.88 fof(f3079,definition,(
% 9.85/1.88 sQ101_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3080,plain,(
% 9.85/1.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|~sQ101_spl),
% 9.85/1.88 inference(component_clause,[status(thm)],[f3079])).
% 9.85/1.88 fof(f3082,definition,(
% 9.85/1.88 sQ102_spl <=> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____))))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3084,plain,(
% 9.85/1.88 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|sQ102_spl),
% 9.85/1.88 inference(component_clause,[status(thm)],[f3082])).
% 9.85/1.88 fof(f3085,plain,(
% 9.85/1.88 sQ9_spl|sQ27_spl|sQ26_spl|sQ101_spl|sQ0_spl|~sQ11_spl|~sQ102_spl|~sQ31_spl|~sQ30_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3072,f2367,f2479,f2476,f3079,f2157,f2373,f3082,f2513,f2509])).
% 9.85/1.88 fof(f3150,plain,(
% 9.85/1.88 sP2_prd(sK6_skl(v_P_H____,v_P_H____,v_b____,v_a____),v_b____,v_a____,v_P_H____,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))|~sQ20_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f2426,f545])).
% 9.85/1.88 fof(f3151,plain,(
% 9.85/1.88 sP2_prd(sK6_skl(v_P____,v_P_H____,v_b____,v_a____),v_b____,v_a____,v_P_H____,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~sQ20_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f2426,f544])).
% 9.85/1.88 fof(f3153,definition,(
% 9.85/1.88 sQ104_spl <=> (sP2_prd(sK6_skl(v_P_H____,v_P_H____,v_b____,v_a____),v_b____,v_a____,v_P_H____,v_P_H____))),
% 9.85/1.88 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 9.85/1.88 fof(f3156,plain,(
% 9.85/1.88 sQ104_spl|sQ91_spl|~sQ20_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3150,f3153,f3014,f2425])).
% 9.85/1.88 fof(f3157,plain,(
% 9.85/1.88 sQ13_spl|sQ0_spl|~sQ20_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3151,f2392,f2157,f2425])).
% 9.85/1.88 fof(f3159,plain,(
% 9.85/1.88 v_a____=v_b____|v_a_H____=v_b____|v_b_H____=v_a____|~c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~sQ101_spl|~sQ30_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f3080,f2735])).
% 9.85/1.88 fof(f3160,plain,(
% 9.85/1.88 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|~sQ101_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f3080,f2325])).
% 9.85/1.88 fof(f3161,plain,(
% 9.85/1.88 sQ9_spl|sQ27_spl|sQ26_spl|~sQ11_spl|~sQ102_spl|sQ0_spl|~sQ101_spl|~sQ30_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3159,f2367,f2479,f2476,f2373,f3082,f2157,f3079,f2509])).
% 9.85/1.88 fof(f3162,plain,(
% 9.85/1.88 v_a____=v_b____|v_a_H____=v_b____|v_b_H____=v_a____|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|sQ102_spl|~sQ31_spl),
% 9.85/1.88 inference(resolution,[status(thm)],[f3084,f2742])).
% 9.85/1.88 fof(f3163,plain,(
% 9.85/1.88 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,sK8_skl(v_P____,v_P_H____,v_a____,v_b____,v_a_H____,v_b_H____)))|sQ102_spl)),
% 9.85/1.88 inference(resolution,[status(thm)],[f3084,f2324])).
% 9.85/1.88 fof(f3164,plain,(
% 9.85/1.88 sQ9_spl|sQ27_spl|sQ26_spl|sQ101_spl|sQ0_spl|sQ102_spl|~sQ31_spl),
% 9.85/1.88 inference(split_clause,[status(thm)],[f3162,f2367,f2479,f2476,f3079,f2157,f3082,f2513])).
% 9.85/1.89 fof(f3172,plain,(
% 9.85/1.89 sP2_prd(sK6_skl(v_P____,v_P_H____,v_a____,v_b____),v_a____,v_b____,v_P_H____,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))|~sQ21_spl),
% 9.85/1.89 inference(resolution,[status(thm)],[f2433,f545])).
% 9.85/1.89 fof(f3173,plain,(
% 9.85/1.89 sP2_prd(sK6_skl(v_P____,v_P____,v_a____,v_b____),v_a____,v_b____,v_P____,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~sQ21_spl),
% 9.85/1.89 inference(resolution,[status(thm)],[f2433,f544])).
% 9.85/1.89 fof(f3175,definition,(
% 9.85/1.89 sQ105_spl <=> (sP2_prd(sK6_skl(v_P____,v_P_H____,v_a____,v_b____),v_a____,v_b____,v_P_H____,v_P____))),
% 9.85/1.89 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 9.85/1.89 fof(f3178,plain,(
% 9.85/1.89 sQ105_spl|sQ91_spl|~sQ21_spl),
% 9.85/1.89 inference(split_clause,[status(thm)],[f3172,f3175,f3014,f2432])).
% 9.85/1.89 fof(f3179,plain,(
% 9.85/1.89 sQ18_spl|sQ0_spl|~sQ21_spl),
% 9.85/1.89 inference(split_clause,[status(thm)],[f3173,f2413,f2157,f2432])).
% 9.85/1.89 fof(f3184,plain,(
% 9.85/1.89 sP2_prd(sK6_skl(v_P_H____,v_P____,v_b____,v_a____),v_b____,v_a____,v_P____,v_P_H____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P_H____))|~sQ22_spl),
% 9.85/1.89 inference(resolution,[status(thm)],[f2437,f545])).
% 9.85/1.89 fof(f3185,plain,(
% 9.85/1.89 sP2_prd(sK6_skl(v_P____,v_P____,v_b____,v_a____),v_b____,v_a____,v_P____,v_P____)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|~sQ22_spl),
% 9.85/1.89 inference(resolution,[status(thm)],[f2437,f544])).
% 9.85/1.89 fof(f3187,definition,(
% 9.85/1.89 sQ106_spl <=> (sP2_prd(sK6_skl(v_P_H____,v_P____,v_b____,v_a____),v_b____,v_a____,v_P____,v_P_H____))),
% 9.85/1.89 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 9.85/1.89 fof(f3190,plain,(
% 9.85/1.89 sQ106_spl|sQ91_spl|~sQ22_spl),
% 9.85/1.89 inference(split_clause,[status(thm)],[f3184,f3187,f3014,f2436])).
% 9.85/1.89 fof(f3191,plain,(
% 9.85/1.89 sQ15_spl|sQ0_spl|~sQ22_spl),
% 9.85/1.89 inference(split_clause,[status(thm)],[f3185,f2399,f2157,f2436])).
% 9.85/1.89 fof(f3202,plain,(
% 9.85/1.89 $false|sQ102_spl|~sQ101_spl),
% 9.85/1.89 inference(forward_subsumption_resolution,[status(thm)],[f3160,f3163])).
% 9.85/1.89 fof(f3203,plain,(
% 9.85/1.89 sQ102_spl|~sQ101_spl),
% 9.85/1.89 inference(contradiction_clause,[status(thm)],[f3202])).
% 9.85/1.89 fof(f3204,plain,(
% 9.85/1.89 $false),
% 9.85/1.89 inference(sat_refutation,[status(thm)],[f2163,f2164,f2351,f2357,f2359,f2361,f2376,f2380,f2382,f2384,f2398,f2405,f2412,f2416,f2424,f2435,f2439,f2446,f2452,f2485,f2498,f2500,f2502,f2512,f2516,f2611,f2633,f2640,f2649,f2653,f2662,f2666,f2670,f2674,f2683,f2687,f2691,f2695,f2786,f2790,f2794,f2798,f2811,f2815,f2819,f2823,f2857,f2861,f2865,f2869,f2890,f2894,f2898,f2902,f2943,f2947,f2951,f2955,f2970,f2974,f2978,f2982,f3017,f3018,f3027,f3031,f3035,f3039,f3061,f3078,f3085,f3156,f3157,f3161,f3164,f3178,f3179,f3190,f3191,f3203])).
% 9.85/1.89 % SZS output end CNFRefutation for theBenchmark.p
% 9.85/1.89 % Elapsed time: 1.456654 seconds
% 9.85/1.89 % CPU time: 10.416765 seconds
% 9.85/1.89 % Total memory used: 236.043 MB
% 9.85/1.89 % Net memory used: 230.049 MB
%------------------------------------------------------------------------------