TSTP Solution File: SCT115+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT115+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:33:14 EDT 2023
% Result : Theorem 39.52s 5.49s
% Output : CNFRefutation 40.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SCT115+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:32:16 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.34 % Drodi V3.5.1
% 39.52/5.49 % Refutation found
% 39.52/5.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 39.52/5.49 % SZS output start CNFRefutation for theBenchmark
% 39.52/5.49 fof(f3,axiom,(
% 39.52/5.49 (! [V_z_2,V_La_2,V_ya_2,V_xa_2] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omkbot(V_La_2,V_z_2))<=> ( V_ya_2 != V_z_2& ( V_xa_2 = V_z_2=> V_xa_2 != V_ya_2 )& ( V_xa_2 != V_z_2=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2) ) ) ) )),
% 39.52/5.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.52/5.49 fof(f11,axiom,(
% 39.52/5.49 (! [V_A_2,V_xa_2,T_a] :( c_member(T_a,V_xa_2,V_A_2)<=> hBOOL(hAPP(V_A_2,V_xa_2)) ) )),
% 39.52/5.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.52/5.49 fof(f16,axiom,(
% 39.52/5.49 (! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :( c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))<=> ( c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)| ( V_a_2 = V_a_H_2& c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2) ) ) ) )),
% 39.52/5.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.52/5.49 fof(f526,hypothesis,(
% 39.52/5.49 v_x != v_y ),
% 39.52/5.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.52/5.49 fof(f527,hypothesis,(
% 39.52/5.49 ( (! [B_x,B_y] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)=> (! [B_z] :( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) ) )))& (! [B_x] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_x),v_L))& (! [B_x,B_y] :( B_x != B_y=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L) ) ) )) ),
% 39.52/5.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.52/5.49 fof(f528,conjecture,(
% 39.52/5.49 ( (! [B_x,B_y] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_x& B_y != v_x )=> (! [B_z] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_x )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) )& ( ( B_z = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L) )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L) ) ) ))& ( ( B_y = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)& B_x != v_x )=> (! [B_z] :( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)& B_z != v_x )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) ) ))& ( ( B_x = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L)& B_y != v_x )=> (! [B_z] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_x )=> ( B_z = v_y| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L) ) )& ( B_z = v_x=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L) ) ) )) ))& (! [B_x,B_y] :( B_x != B_y=> ( ( B_x = v_x& B_y = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_x& B_y != v_x )| ( B_y = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)& B_x != v_x )| ( B_x = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L)& B_y != v_x )| ( B_y = v_x& B_x = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)& B_y != v_x& B_x != v_x )| ( B_x = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L)& B_y != v_x )| ( B_y = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_x),v_L)& B_x != v_x ) ) ) )) ),
% 39.52/5.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.52/5.49 fof(f529,negated_conjecture,(
% 39.52/5.49 ~(( (! [B_x,B_y] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_x& B_y != v_x )=> (! [B_z] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_x )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) )& ( ( B_z = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L) )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L) ) ) ))& ( ( B_y = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)& B_x != v_x )=> (! [B_z] :( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)& B_z != v_x )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) ) ))& ( ( B_x = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L)& B_y != v_x )=> (! [B_z] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_x )=> ( B_z = v_y| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L) ) )& ( B_z = v_x=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L) ) ) )) ))& (! [B_x,B_y] :( B_x != B_y=> ( ( B_x = v_x& B_y = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_x& B_y != v_x )| ( B_y = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)& B_x != v_x )| ( B_x = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L)& B_y != v_x )| ( B_y = v_x& B_x = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)& B_y != v_x& B_x != v_x )| ( B_x = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L)& B_y != v_x )| ( B_y = v_x& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_x),v_L)& B_x != v_x ) ) ) )) )),
% 39.52/5.49 inference(negated_conjecture,[status(cth)],[f528])).
% 39.52/5.49 fof(f539,plain,(
% 39.52/5.49 ![V_z_2,V_La_2,V_ya_2,V_xa_2]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omkbot(V_La_2,V_z_2))<=>((~V_ya_2=V_z_2&(~V_xa_2=V_z_2|~V_xa_2=V_ya_2))&(V_xa_2=V_z_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2))))),
% 39.52/5.49 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 39.52/5.49 fof(f540,plain,(
% 39.52/5.49 ![V_z_2,V_La_2,V_ya_2,V_xa_2]: ((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omkbot(V_La_2,V_z_2))|((~V_ya_2=V_z_2&(~V_xa_2=V_z_2|~V_xa_2=V_ya_2))&(V_xa_2=V_z_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2))))&(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omkbot(V_La_2,V_z_2))|((V_ya_2=V_z_2|(V_xa_2=V_z_2&V_xa_2=V_ya_2))|(~V_xa_2=V_z_2&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2)))))),
% 39.52/5.49 inference(NNF_transformation,[status(esa)],[f539])).
% 39.52/5.49 fof(f541,plain,(
% 39.52/5.49 (![V_z_2,V_La_2,V_ya_2,V_xa_2]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omkbot(V_La_2,V_z_2))|((~V_ya_2=V_z_2&(~V_xa_2=V_z_2|~V_xa_2=V_ya_2))&(V_xa_2=V_z_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2)))))&(![V_z_2,V_La_2,V_ya_2,V_xa_2]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omkbot(V_La_2,V_z_2))|((V_ya_2=V_z_2|(V_xa_2=V_z_2&V_xa_2=V_ya_2))|(~V_xa_2=V_z_2&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_xa_2,V_ya_2),V_La_2)))))),
% 39.52/5.49 inference(miniscoping,[status(esa)],[f540])).
% 39.52/5.49 fof(f542,plain,(
% 39.52/5.49 ![X0,X1,X2,X3]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),c_Arrow__Order__Mirabelle_Omkbot(X2,X3))|~X1=X3)),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f541])).
% 39.52/5.49 fof(f585,plain,(
% 39.52/5.49 ![V_A_2,V_xa_2,T_a]: ((~c_member(T_a,V_xa_2,V_A_2)|hBOOL(hAPP(V_A_2,V_xa_2)))&(c_member(T_a,V_xa_2,V_A_2)|~hBOOL(hAPP(V_A_2,V_xa_2))))),
% 39.52/5.49 inference(NNF_transformation,[status(esa)],[f11])).
% 39.52/5.49 fof(f586,plain,(
% 39.52/5.49 (![V_A_2,V_xa_2]: ((![T_a]: ~c_member(T_a,V_xa_2,V_A_2))|hBOOL(hAPP(V_A_2,V_xa_2))))&(![V_A_2,V_xa_2]: ((![T_a]: c_member(T_a,V_xa_2,V_A_2))|~hBOOL(hAPP(V_A_2,V_xa_2))))),
% 39.52/5.49 inference(miniscoping,[status(esa)],[f585])).
% 39.52/5.49 fof(f587,plain,(
% 39.52/5.49 ![X0,X1,X2]: (~c_member(X0,X1,X2)|hBOOL(hAPP(X2,X1)))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f586])).
% 39.52/5.49 fof(f588,plain,(
% 39.52/5.49 ![X0,X1,X2]: (c_member(X0,X1,X2)|~hBOOL(hAPP(X2,X1)))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f586])).
% 39.52/5.49 fof(f603,plain,(
% 39.52/5.49 ![V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a]: ((~c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)|(V_a_2=V_a_H_2&c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2))))&(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|(~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)&(~V_a_2=V_a_H_2|~c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2)))))),
% 39.52/5.49 inference(NNF_transformation,[status(esa)],[f16])).
% 39.52/5.49 fof(f604,plain,(
% 39.52/5.49 (![V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a]: (~c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|(c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)|(V_a_2=V_a_H_2&c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2)))))&(![V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a]: (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|(~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)&(~V_a_2=V_a_H_2|~c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2)))))),
% 39.52/5.49 inference(miniscoping,[status(esa)],[f603])).
% 39.52/5.49 fof(f606,plain,(
% 39.52/5.49 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~c_member(tc_prod(tc_prod(X0,X1),tc_prod(X0,X1)),c_Product__Type_OPair(tc_prod(X0,X1),tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X2,X3),c_Product__Type_OPair(X0,X1,X4,X5)),c_Wellfounded_Olex__prod(X0,X1,X6,X7))|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X4),X6)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f604])).
% 39.52/5.49 fof(f608,plain,(
% 39.52/5.49 ![X0,X1,X2,X3,X4,X5,X6,X7]: (c_member(tc_prod(tc_prod(X0,X1),tc_prod(X0,X1)),c_Product__Type_OPair(tc_prod(X0,X1),tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X2,X3),c_Product__Type_OPair(X0,X1,X4,X5)),c_Wellfounded_Olex__prod(X0,X1,X6,X7))|~X2=X4|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f604])).
% 39.52/5.49 fof(f2153,plain,(
% 39.52/5.49 ~v_x=v_y),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f526])).
% 39.52/5.49 fof(f2154,plain,(
% 39.52/5.49 ((![B_x,B_y]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|(![B_z]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))&(![B_x]: ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_x),v_L)))&(![B_x,B_y]: (B_x=B_y|(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L))))),
% 39.52/5.49 inference(pre_NNF_transformation,[status(esa)],[f527])).
% 39.52/5.49 fof(f2155,plain,(
% 39.52/5.49 ![X0,X1,X2]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2154])).
% 39.52/5.49 fof(f2156,plain,(
% 39.52/5.49 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2154])).
% 39.52/5.49 fof(f2157,plain,(
% 39.52/5.49 ![X0,X1]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2154])).
% 39.52/5.49 fof(f2158,plain,(
% 39.52/5.49 ((?[B_x,B_y]: (((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))|((B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)))))|(((B_y=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))&~B_x=v_x)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))|(((B_x=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L))&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&(~B_z=v_y&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)))|(B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L)))))))|(?[B_x,B_y]: (~B_x=B_y&((((((((~B_x=v_x|~B_y=v_y)&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|B_x=v_x)|B_y=v_x))&((~B_y=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))|B_x=v_x))&((~B_x=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L))|B_y=v_x))&(~B_y=v_x|~B_x=v_y))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)|B_y=v_x)|B_x=v_x))&((~B_x=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))|B_y=v_x))&((~B_y=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_x),v_L))|B_x=v_x)))))),
% 39.52/5.49 inference(pre_NNF_transformation,[status(esa)],[f529])).
% 39.52/5.49 fof(f2159,plain,(
% 39.52/5.49 ![B_x,B_y]: (pd0_4(B_y,B_x)=>(((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))|((B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)))))|(((B_y=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))&~B_x=v_x)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))|(((B_x=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L))&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&(~B_z=v_y&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)))|(B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L)))))))),
% 39.52/5.49 introduced(predicate_definition,[f2158])).
% 39.52/5.49 fof(f2160,plain,(
% 39.52/5.49 (?[B_x,B_y]: pd0_4(B_y,B_x))|(?[B_x,B_y]: (~B_x=B_y&((((((((~B_x=v_x|~B_y=v_y)&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|B_x=v_x)|B_y=v_x))&((~B_y=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))|B_x=v_x))&((~B_x=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L))|B_y=v_x))&(~B_y=v_x|~B_x=v_y))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)|B_y=v_x)|B_x=v_x))&((~B_x=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))|B_y=v_x))&((~B_y=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_x),v_L))|B_x=v_x))))),
% 39.52/5.49 inference(formula_renaming,[status(thm)],[f2158,f2159])).
% 39.52/5.49 fof(f2161,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|(~sk0_93=sk0_94&((((((((~sk0_93=v_x|~sk0_94=v_y)&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|sk0_93=v_x)|sk0_94=v_x))&((~sk0_94=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_y),v_L))|sk0_93=v_x))&((~sk0_93=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L))|sk0_94=v_x))&(~sk0_94=v_x|~sk0_93=v_y))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|sk0_94=v_x)|sk0_93=v_x))&((~sk0_93=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_y),v_L))|sk0_94=v_x))&((~sk0_94=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_93),v_L))|sk0_93=v_x)))),
% 39.52/5.49 inference(skolemization,[status(esa)],[f2160])).
% 39.52/5.49 fof(f2162,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~sk0_93=sk0_94),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2161])).
% 39.52/5.49 fof(f2163,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~sk0_93=v_x|~sk0_94=v_y),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2161])).
% 39.52/5.49 fof(f2164,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|sk0_93=v_x|sk0_94=v_x),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2161])).
% 39.52/5.49 fof(f2165,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~sk0_94=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_y),v_L)|sk0_93=v_x),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2161])).
% 39.52/5.49 fof(f2166,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~sk0_93=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)|sk0_94=v_x),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2161])).
% 39.52/5.49 fof(f2167,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~sk0_94=v_x|~sk0_93=v_y),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2161])).
% 39.52/5.49 fof(f2168,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|sk0_94=v_x|sk0_93=v_x),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2161])).
% 39.52/5.49 fof(f2169,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~sk0_93=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_y),v_L)|sk0_94=v_x),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2161])).
% 39.52/5.49 fof(f2170,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~sk0_94=v_x|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_93),v_L)|sk0_93=v_x),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2161])).
% 39.52/5.49 fof(f2196,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))|((B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)))))|(((B_y=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))&~B_x=v_x)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))|(((B_x=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L))&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&(~B_z=v_y&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)))|(B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L)))))))),
% 39.52/5.49 inference(pre_NNF_transformation,[status(esa)],[f2159])).
% 39.52/5.49 fof(f2197,plain,(
% 39.52/5.49 ![B_x,B_y]: (pd0_5(B_y,B_x)=>((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))|((B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)))))|(((B_y=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))&~B_x=v_x)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))))),
% 39.52/5.49 introduced(predicate_definition,[f2196])).
% 39.52/5.49 fof(f2198,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L))&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&(~B_z=v_y&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)))|(B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L)))))))),
% 39.52/5.49 inference(formula_renaming,[status(thm)],[f2196,f2197])).
% 39.52/5.49 fof(f2199,plain,(
% 39.52/5.49 ![B_y,B_z]: (pd0_6(B_z,B_y)=>((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&(~B_z=v_y&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L))))),
% 39.52/5.49 introduced(predicate_definition,[f2198])).
% 39.52/5.49 fof(f2200,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L))&~B_y=v_x)&(?[B_z]: (pd0_6(B_z,B_y)|(B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L)))))))),
% 39.52/5.49 inference(formula_renaming,[status(thm)],[f2198,f2199])).
% 39.52/5.49 fof(f2201,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L))&~B_y=v_x)&((?[B_z]: pd0_6(B_z,B_y))|((?[B_z]: B_z=v_x)&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))))))),
% 39.52/5.49 inference(miniscoping,[status(esa)],[f2200])).
% 39.52/5.49 fof(f2202,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_y),v_L))&~B_y=v_x)&(pd0_6(sk0_97(B_y,B_x),B_y)|(sk0_98(B_y,B_x)=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))))))),
% 39.52/5.49 inference(skolemization,[status(esa)],[f2201])).
% 39.52/5.49 fof(f2203,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|X1=v_x)),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2202])).
% 39.52/5.49 fof(f2204,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2202])).
% 39.52/5.49 fof(f2205,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|~X0=v_x)),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2202])).
% 39.52/5.49 fof(f2207,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|pd0_6(sk0_97(X0,X1),X0)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2202])).
% 39.52/5.49 fof(f2208,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_5(B_y,B_x)|((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))|((B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)))))|(((B_y=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))&~B_x=v_x)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))))),
% 39.52/5.49 inference(pre_NNF_transformation,[status(esa)],[f2197])).
% 39.52/5.49 fof(f2209,plain,(
% 39.52/5.49 ![B_x,B_y]: (pd0_7(B_y,B_x)=>(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))|((B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))))))),
% 39.52/5.49 introduced(predicate_definition,[f2208])).
% 39.52/5.49 fof(f2210,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_5(B_y,B_x)|(pd0_7(B_y,B_x)|(((B_y=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))&~B_x=v_x)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))))),
% 39.52/5.49 inference(formula_renaming,[status(thm)],[f2208,f2209])).
% 39.52/5.49 fof(f2211,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_5(B_y,B_x)|(pd0_7(B_y,B_x)|(((B_y=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))&~B_x=v_x)&((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(B_y,B_x)),v_L)&~sk0_99(B_y,B_x)=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,sk0_99(B_y,B_x)),v_L)))))),
% 39.52/5.49 inference(skolemization,[status(esa)],[f2210])).
% 39.52/5.49 fof(f2212,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|X0=v_x)),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2211])).
% 39.52/5.49 fof(f2213,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2211])).
% 39.52/5.49 fof(f2214,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|~X1=v_x)),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2211])).
% 39.52/5.49 fof(f2215,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(X0,X1)),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2211])).
% 39.52/5.49 fof(f2217,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_99(X0,X1)),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2211])).
% 39.52/5.49 fof(f2218,plain,(
% 39.52/5.49 ![B_y,B_z]: (~pd0_6(B_z,B_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&(~B_z=v_y&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,B_z),v_L))))),
% 39.52/5.49 inference(pre_NNF_transformation,[status(esa)],[f2199])).
% 39.52/5.49 fof(f2219,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_6(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2218])).
% 39.52/5.49 fof(f2221,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_6(X0,X1)|~X0=v_y)),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2218])).
% 39.52/5.49 fof(f2222,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_6(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_y,X0),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2218])).
% 39.52/5.49 fof(f2223,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&(?[B_z]: (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))|((B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))))))),
% 39.52/5.49 inference(pre_NNF_transformation,[status(esa)],[f2209])).
% 39.52/5.49 fof(f2224,plain,(
% 39.52/5.49 ![B_x,B_y,B_z]: (pd0_8(B_z,B_y,B_x)=>((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))),
% 39.52/5.49 introduced(predicate_definition,[f2223])).
% 39.52/5.49 fof(f2225,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&(?[B_z]: (pd0_8(B_z,B_y,B_x)|((B_z=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L))))))),
% 39.52/5.49 inference(formula_renaming,[status(thm)],[f2223,f2224])).
% 39.52/5.49 fof(f2226,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&((?[B_z]: pd0_8(B_z,B_y,B_x))|(((?[B_z]: B_z=v_x)&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)))))),
% 39.52/5.49 inference(miniscoping,[status(esa)],[f2225])).
% 39.52/5.49 fof(f2227,plain,(
% 39.52/5.49 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_x)&~B_y=v_x)&(pd0_8(sk0_100(B_y,B_x),B_y,B_x)|((sk0_101(B_y,B_x)=v_x&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_y),v_L))&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_y),v_L)))))),
% 39.52/5.49 inference(skolemization,[status(esa)],[f2226])).
% 39.52/5.49 fof(f2228,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2227])).
% 39.52/5.49 fof(f2229,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_7(X0,X1)|~X1=v_x)),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2227])).
% 39.52/5.49 fof(f2230,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_7(X0,X1)|~X0=v_x)),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2227])).
% 39.52/5.49 fof(f2232,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_7(X0,X1)|pd0_8(sk0_100(X0,X1),X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2227])).
% 39.52/5.49 fof(f2233,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_7(X0,X1)|pd0_8(sk0_100(X0,X1),X0,X1)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2227])).
% 39.52/5.49 fof(f2234,plain,(
% 39.52/5.49 ![B_x,B_y,B_z]: (~pd0_8(B_z,B_y,B_x)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_x)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))),
% 39.52/5.49 inference(pre_NNF_transformation,[status(esa)],[f2224])).
% 39.52/5.49 fof(f2235,plain,(
% 39.52/5.49 ![X0,X1,X2]: (~pd0_8(X0,X1,X2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2234])).
% 39.52/5.49 fof(f2237,plain,(
% 39.52/5.49 ![X0,X1,X2]: (~pd0_8(X0,X1,X2)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L))),
% 39.52/5.49 inference(cnf_transformation,[status(esa)],[f2234])).
% 39.52/5.49 fof(f2238,plain,(
% 39.52/5.49 spl0_0 <=> pd0_4(sk0_92,sk0_91)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2239,plain,(
% 39.52/5.49 pd0_4(sk0_92,sk0_91)|~spl0_0),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2238])).
% 39.52/5.49 fof(f2241,plain,(
% 39.52/5.49 spl0_1 <=> sk0_93=sk0_94),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2243,plain,(
% 39.52/5.49 ~sk0_93=sk0_94|spl0_1),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2241])).
% 39.52/5.49 fof(f2244,plain,(
% 39.52/5.49 spl0_0|~spl0_1),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2162,f2238,f2241])).
% 39.52/5.49 fof(f2245,plain,(
% 39.52/5.49 spl0_2 <=> sk0_93=v_x),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2246,plain,(
% 39.52/5.49 sk0_93=v_x|~spl0_2),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2245])).
% 39.52/5.49 fof(f2248,plain,(
% 39.52/5.49 spl0_3 <=> sk0_94=v_y),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2249,plain,(
% 39.52/5.49 sk0_94=v_y|~spl0_3),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2248])).
% 39.52/5.49 fof(f2251,plain,(
% 39.52/5.49 spl0_0|~spl0_2|~spl0_3),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2163,f2238,f2245,f2248])).
% 39.52/5.49 fof(f2252,plain,(
% 39.52/5.49 spl0_4 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2253,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|~spl0_4),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2252])).
% 39.52/5.49 fof(f2254,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|spl0_4),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2252])).
% 39.52/5.49 fof(f2255,plain,(
% 39.52/5.49 spl0_5 <=> sk0_94=v_x),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2256,plain,(
% 39.52/5.49 sk0_94=v_x|~spl0_5),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2255])).
% 39.52/5.49 fof(f2258,plain,(
% 39.52/5.49 spl0_0|~spl0_4|spl0_2|spl0_5),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2164,f2238,f2252,f2245,f2255])).
% 39.52/5.49 fof(f2259,plain,(
% 39.52/5.49 spl0_6 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2261,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_y),v_L)|spl0_6),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2259])).
% 39.52/5.49 fof(f2262,plain,(
% 39.52/5.49 spl0_0|~spl0_5|~spl0_6|spl0_2),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2165,f2238,f2255,f2259,f2245])).
% 39.52/5.49 fof(f2263,plain,(
% 39.52/5.49 spl0_7 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2264,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)|~spl0_7),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2263])).
% 39.52/5.49 fof(f2265,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)|spl0_7),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2263])).
% 39.52/5.49 fof(f2266,plain,(
% 39.52/5.49 spl0_0|~spl0_2|~spl0_7|spl0_5),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2166,f2238,f2245,f2263,f2255])).
% 39.52/5.49 fof(f2267,plain,(
% 39.52/5.49 spl0_8 <=> sk0_93=v_y),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2268,plain,(
% 39.52/5.49 sk0_93=v_y|~spl0_8),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2267])).
% 39.52/5.49 fof(f2270,plain,(
% 39.52/5.49 spl0_0|~spl0_5|~spl0_8),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2167,f2238,f2255,f2267])).
% 39.52/5.49 fof(f2271,plain,(
% 39.52/5.49 spl0_9 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2274,plain,(
% 39.52/5.49 spl0_0|~spl0_9|spl0_5|spl0_2),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2168,f2238,f2271,f2255,f2245])).
% 39.52/5.49 fof(f2275,plain,(
% 39.52/5.49 spl0_10 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2277,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_y),v_L)|spl0_10),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2275])).
% 39.52/5.49 fof(f2278,plain,(
% 39.52/5.49 spl0_0|~spl0_2|~spl0_10|spl0_5),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2169,f2238,f2245,f2275,f2255])).
% 39.52/5.49 fof(f2279,plain,(
% 39.52/5.49 spl0_11 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_93),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2280,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_93),v_L)|~spl0_11),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2279])).
% 39.52/5.49 fof(f2281,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_93),v_L)|spl0_11),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2279])).
% 39.52/5.49 fof(f2282,plain,(
% 39.52/5.49 spl0_0|~spl0_5|~spl0_11|spl0_2),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2170,f2238,f2255,f2279,f2245])).
% 39.52/5.49 fof(f2285,plain,(
% 39.52/5.49 ![X0,X1,X2]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),c_Arrow__Order__Mirabelle_Omkbot(X2,X1)))),
% 39.52/5.49 inference(destructive_equality_resolution,[status(esa)],[f542])).
% 39.52/5.49 fof(f2293,plain,(
% 39.52/5.49 ![X0,X1,X2,X3,X4,X5,X6]: (c_member(tc_prod(tc_prod(X0,X1),tc_prod(X0,X1)),c_Product__Type_OPair(tc_prod(X0,X1),tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X2,X3),c_Product__Type_OPair(X0,X1,X2,X4)),c_Wellfounded_Olex__prod(X0,X1,X5,X6))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X6))),
% 39.52/5.49 inference(destructive_equality_resolution,[status(esa)],[f608])).
% 39.52/5.49 fof(f2388,plain,(
% 39.52/5.49 ![X0]: (~pd0_4(v_x,X0)|pd0_5(v_x,X0))),
% 39.52/5.49 inference(destructive_equality_resolution,[status(esa)],[f2205])).
% 39.52/5.49 fof(f2389,plain,(
% 39.52/5.49 ![X0]: (~pd0_5(X0,v_x)|pd0_7(X0,v_x))),
% 39.52/5.49 inference(destructive_equality_resolution,[status(esa)],[f2214])).
% 39.52/5.49 fof(f2391,plain,(
% 39.52/5.49 ![X0]: (~pd0_6(v_y,X0))),
% 39.52/5.49 inference(destructive_equality_resolution,[status(esa)],[f2221])).
% 39.52/5.49 fof(f2392,plain,(
% 39.52/5.49 ![X0]: (~pd0_7(X0,v_x))),
% 39.52/5.49 inference(destructive_equality_resolution,[status(esa)],[f2229])).
% 39.52/5.49 fof(f2393,plain,(
% 39.52/5.49 ![X0]: (~pd0_7(v_x,X0))),
% 39.52/5.49 inference(destructive_equality_resolution,[status(esa)],[f2230])).
% 39.52/5.49 fof(f2403,plain,(
% 39.52/5.49 ![X0]: (~pd0_5(X0,v_x))),
% 39.52/5.49 inference(backward_subsumption_resolution,[status(thm)],[f2389,f2392])).
% 39.52/5.49 fof(f2412,plain,(
% 39.52/5.49 ![X0,X1]: (pd0_7(X0,X1)|X0=v_x|~pd0_4(X0,X1)|X1=v_x)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2212,f2203])).
% 39.52/5.49 fof(f2417,plain,(
% 39.52/5.49 ![X0,X1]: (pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(X0,X1)),v_L)|~pd0_4(X0,X1)|X1=v_x)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2215,f2203])).
% 39.52/5.49 fof(f2418,plain,(
% 39.52/5.49 sk0_94=sk0_93|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|spl0_4),
% 39.52/5.49 inference(resolution,[status(thm)],[f2157,f2254])).
% 39.52/5.49 fof(f2419,plain,(
% 39.52/5.49 spl0_1|spl0_9|spl0_4),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2418,f2241,f2271,f2252])).
% 39.52/5.49 fof(f2420,plain,(
% 39.52/5.49 v_y=sk0_93|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_93),v_L)|spl0_6),
% 39.52/5.49 inference(resolution,[status(thm)],[f2157,f2261])).
% 39.52/5.49 fof(f2421,plain,(
% 39.52/5.49 spl0_8|spl0_11|spl0_6),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2420,f2267,f2279,f2259])).
% 39.52/5.49 fof(f2424,plain,(
% 39.52/5.49 v_y=sk0_94|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)|spl0_10),
% 39.52/5.49 inference(resolution,[status(thm)],[f2157,f2277])).
% 39.52/5.49 fof(f2425,plain,(
% 39.52/5.49 spl0_3|spl0_7|spl0_10),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2424,f2248,f2263,f2275])).
% 39.52/5.49 fof(f2430,plain,(
% 39.52/5.49 ![X0,X1]: (X0=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|~pd0_6(X0,X1))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2157,f2222])).
% 39.52/5.49 fof(f2432,plain,(
% 39.52/5.49 ![X0,X1]: (v_y=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~pd0_7(X1,X0)|pd0_8(sk0_100(X1,X0),X1,X0))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2157,f2233])).
% 39.52/5.49 fof(f2433,plain,(
% 39.52/5.49 ![X0,X1,X2]: (X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~pd0_8(X0,X2,X1))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2157,f2237])).
% 39.52/5.49 fof(f2436,plain,(
% 39.52/5.49 v_x=v_y|~spl0_5|~spl0_3),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2256,f2249])).
% 39.52/5.49 fof(f2437,plain,(
% 39.52/5.49 $false|~spl0_5|~spl0_3),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2436,f2153])).
% 39.52/5.49 fof(f2438,plain,(
% 39.52/5.49 ~spl0_5|~spl0_3),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2437])).
% 39.52/5.49 fof(f2449,plain,(
% 39.52/5.49 spl0_14 <=> pd0_7(sk0_92,sk0_91)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2450,plain,(
% 39.52/5.49 pd0_7(sk0_92,sk0_91)|~spl0_14),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2449])).
% 39.52/5.49 fof(f2452,plain,(
% 39.52/5.49 spl0_15 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(sk0_92,sk0_91)),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2453,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(sk0_92,sk0_91)),v_L)|~spl0_15),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2452])).
% 39.52/5.49 fof(f2455,plain,(
% 39.52/5.49 spl0_16 <=> sk0_91=v_x),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2456,plain,(
% 39.52/5.49 sk0_91=v_x|~spl0_16),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2455])).
% 39.52/5.49 fof(f2458,plain,(
% 39.52/5.49 pd0_7(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(sk0_92,sk0_91)),v_L)|sk0_91=v_x|~spl0_0),
% 39.52/5.49 inference(resolution,[status(thm)],[f2239,f2417])).
% 39.52/5.49 fof(f2459,plain,(
% 39.52/5.49 spl0_14|spl0_15|spl0_16|~spl0_0),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2458,f2449,f2452,f2455,f2238])).
% 39.52/5.49 fof(f2460,plain,(
% 39.52/5.49 spl0_17 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2461,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_17),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2460])).
% 39.52/5.49 fof(f2462,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|spl0_17),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2460])).
% 39.52/5.49 fof(f2468,plain,(
% 39.52/5.49 spl0_19 <=> pd0_5(sk0_92,sk0_91)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2469,plain,(
% 39.52/5.49 pd0_5(sk0_92,sk0_91)|~spl0_19),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2468])).
% 39.52/5.49 fof(f2470,plain,(
% 39.52/5.49 ~pd0_5(sk0_92,sk0_91)|spl0_19),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2468])).
% 39.52/5.49 fof(f2476,plain,(
% 39.52/5.49 spl0_21 <=> pd0_6(sk0_97(sk0_92,sk0_91),sk0_92)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2477,plain,(
% 39.52/5.49 pd0_6(sk0_97(sk0_92,sk0_91),sk0_92)|~spl0_21),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2476])).
% 39.52/5.49 fof(f2479,plain,(
% 39.52/5.49 spl0_22 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2480,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_22),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2479])).
% 39.52/5.49 fof(f2481,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|spl0_22),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2479])).
% 39.52/5.49 fof(f2484,plain,(
% 39.52/5.49 spl0_23 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2485,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_23),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2484])).
% 39.52/5.49 fof(f2486,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|spl0_23),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2484])).
% 39.52/5.49 fof(f2487,plain,(
% 39.52/5.49 pd0_5(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_0),
% 39.52/5.49 inference(resolution,[status(thm)],[f2239,f2204])).
% 39.52/5.49 fof(f2488,plain,(
% 39.52/5.49 spl0_19|spl0_23|~spl0_0),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2487,f2468,f2484,f2238])).
% 39.52/5.49 fof(f2494,plain,(
% 39.52/5.49 spl0_25 <=> sk0_92=v_x),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2495,plain,(
% 39.52/5.49 sk0_92=v_x|~spl0_25),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2494])).
% 39.52/5.49 fof(f2497,plain,(
% 39.52/5.49 pd0_7(sk0_92,sk0_91)|sk0_92=v_x|sk0_91=v_x|~spl0_0),
% 39.52/5.49 inference(resolution,[status(thm)],[f2239,f2412])).
% 39.52/5.49 fof(f2498,plain,(
% 39.52/5.49 spl0_14|spl0_25|spl0_16|~spl0_0),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2497,f2449,f2494,f2455,f2238])).
% 39.52/5.49 fof(f2499,plain,(
% 39.52/5.49 pd0_7(sk0_92,v_x)|~spl0_16|~spl0_14),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2456,f2450])).
% 39.52/5.49 fof(f2500,plain,(
% 39.52/5.49 $false|~spl0_16|~spl0_14),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2499,f2392])).
% 39.52/5.49 fof(f2501,plain,(
% 39.52/5.49 ~spl0_16|~spl0_14),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2500])).
% 39.52/5.49 fof(f2510,plain,(
% 39.52/5.49 pd0_4(v_x,sk0_91)|~spl0_25|~spl0_0),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2495,f2239])).
% 39.52/5.49 fof(f2515,plain,(
% 39.52/5.49 pd0_4(sk0_92,v_x)|~spl0_16|~spl0_0),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f2456,f2239])).
% 39.52/5.49 fof(f2522,plain,(
% 39.52/5.49 ~v_x=sk0_94|~spl0_2|spl0_1),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2246,f2243])).
% 39.52/5.49 fof(f2523,plain,(
% 39.52/5.49 ~v_x=v_x|~spl0_5|~spl0_2|spl0_1),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2256,f2522])).
% 39.52/5.49 fof(f2524,plain,(
% 39.52/5.49 $false|~spl0_5|~spl0_2|spl0_1),
% 39.52/5.49 inference(trivial_equality_resolution,[status(esa)],[f2523])).
% 39.52/5.49 fof(f2525,plain,(
% 39.52/5.49 ~spl0_5|~spl0_2|spl0_1),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2524])).
% 39.52/5.49 fof(f2526,plain,(
% 39.52/5.49 pd0_5(v_x,sk0_91)|~spl0_25|~spl0_19),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f2495,f2469])).
% 39.52/5.49 fof(f2540,plain,(
% 39.52/5.49 spl0_26 <=> pd0_7(v_x,sk0_91)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2541,plain,(
% 39.52/5.49 pd0_7(v_x,sk0_91)|~spl0_26),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2540])).
% 39.52/5.49 fof(f2548,plain,(
% 39.52/5.49 pd0_7(v_x,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_25|~spl0_19),
% 39.52/5.49 inference(resolution,[status(thm)],[f2526,f2213])).
% 39.52/5.49 fof(f2549,plain,(
% 39.52/5.49 spl0_26|spl0_17|~spl0_25|~spl0_19),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2548,f2540,f2460,f2494,f2468])).
% 39.52/5.49 fof(f2557,plain,(
% 39.52/5.49 $false|~spl0_26),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2541,f2393])).
% 39.52/5.49 fof(f2558,plain,(
% 39.52/5.49 ~spl0_26),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2557])).
% 39.52/5.49 fof(f2576,plain,(
% 39.52/5.49 spl0_29 <=> sk0_99(sk0_92,sk0_91)=sk0_91),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2577,plain,(
% 39.52/5.49 sk0_99(sk0_92,sk0_91)=sk0_91|~spl0_29),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2576])).
% 39.52/5.49 fof(f2584,plain,(
% 39.52/5.49 pd0_7(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(sk0_92,sk0_91)),v_L)|~spl0_19),
% 39.52/5.49 inference(resolution,[status(thm)],[f2469,f2215])).
% 39.52/5.49 fof(f2585,plain,(
% 39.52/5.49 spl0_14|spl0_15|~spl0_19),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2584,f2449,f2452,f2468])).
% 39.52/5.49 fof(f2590,plain,(
% 39.52/5.49 pd0_7(sk0_92,sk0_91)|sk0_92=v_x|~spl0_19),
% 39.52/5.49 inference(resolution,[status(thm)],[f2469,f2212])).
% 39.52/5.49 fof(f2591,plain,(
% 39.52/5.49 spl0_14|spl0_25|~spl0_19),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2590,f2449,f2494,f2468])).
% 39.52/5.49 fof(f2592,plain,(
% 39.52/5.49 ~pd0_5(v_x,sk0_91)|~spl0_25|spl0_19),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2495,f2470])).
% 39.52/5.49 fof(f2606,plain,(
% 39.52/5.49 pd0_5(v_x,sk0_91)|~spl0_25|~spl0_0),
% 39.52/5.49 inference(resolution,[status(thm)],[f2510,f2388])).
% 39.52/5.49 fof(f2607,plain,(
% 39.52/5.49 $false|spl0_19|~spl0_25|~spl0_0),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2606,f2592])).
% 39.52/5.49 fof(f2608,plain,(
% 39.52/5.49 spl0_19|~spl0_25|~spl0_0),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2607])).
% 39.52/5.49 fof(f2620,plain,(
% 39.52/5.49 pd0_6(sk0_97(sk0_92,v_x),sk0_92)|~spl0_16|~spl0_21),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f2456,f2477])).
% 39.52/5.49 fof(f2624,plain,(
% 39.52/5.49 spl0_31 <=> pd0_7(sk0_92,v_x)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2625,plain,(
% 39.52/5.49 pd0_7(sk0_92,v_x)|~spl0_31),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2624])).
% 39.52/5.49 fof(f2632,plain,(
% 39.52/5.49 spl0_33 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2633,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_33),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2632])).
% 39.52/5.49 fof(f2634,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|spl0_33),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2632])).
% 39.52/5.49 fof(f2640,plain,(
% 39.52/5.49 spl0_35 <=> pd0_5(sk0_92,v_x)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2641,plain,(
% 39.52/5.49 pd0_5(sk0_92,v_x)|~spl0_35),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2640])).
% 39.52/5.49 fof(f2648,plain,(
% 39.52/5.49 spl0_37 <=> pd0_6(sk0_97(sk0_92,v_x),sk0_92)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2649,plain,(
% 39.52/5.49 pd0_6(sk0_97(sk0_92,v_x),sk0_92)|~spl0_37),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2648])).
% 39.52/5.49 fof(f2651,plain,(
% 39.52/5.49 pd0_5(sk0_92,v_x)|pd0_6(sk0_97(sk0_92,v_x),sk0_92)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_16|~spl0_0),
% 39.52/5.49 inference(resolution,[status(thm)],[f2515,f2207])).
% 39.52/5.49 fof(f2652,plain,(
% 39.52/5.49 spl0_35|spl0_37|spl0_22|~spl0_16|~spl0_0),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2651,f2640,f2648,f2479,f2455,f2238])).
% 39.52/5.49 fof(f2653,plain,(
% 39.52/5.49 pd0_5(sk0_92,v_x)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_16|~spl0_0),
% 39.52/5.49 inference(resolution,[status(thm)],[f2515,f2204])).
% 39.52/5.49 fof(f2654,plain,(
% 39.52/5.49 spl0_35|spl0_23|~spl0_16|~spl0_0),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2653,f2640,f2484,f2455,f2238])).
% 39.52/5.49 fof(f2662,plain,(
% 39.52/5.49 $false|~spl0_31),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2625,f2392])).
% 39.52/5.49 fof(f2663,plain,(
% 39.52/5.49 ~spl0_31),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2662])).
% 39.52/5.49 fof(f2664,plain,(
% 39.52/5.49 $false|~spl0_35),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2641,f2403])).
% 39.52/5.49 fof(f2665,plain,(
% 39.52/5.49 ~spl0_35),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2664])).
% 39.52/5.49 fof(f2691,plain,(
% 39.52/5.49 spl0_39 <=> v_y=sk0_91),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2692,plain,(
% 39.52/5.49 v_y=sk0_91|~spl0_39),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2691])).
% 39.52/5.49 fof(f2694,plain,(
% 39.52/5.49 spl0_40 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2695,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|~spl0_40),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2694])).
% 39.52/5.49 fof(f2696,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|spl0_40),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2694])).
% 39.52/5.49 fof(f2697,plain,(
% 39.52/5.49 spl0_41 <=> pd0_8(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2698,plain,(
% 39.52/5.49 pd0_8(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_41),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2697])).
% 39.52/5.49 fof(f2700,plain,(
% 39.52/5.49 v_y=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|pd0_8(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_14),
% 39.52/5.49 inference(resolution,[status(thm)],[f2450,f2432])).
% 39.52/5.49 fof(f2701,plain,(
% 39.52/5.49 spl0_39|spl0_40|spl0_41|~spl0_14),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2700,f2691,f2694,f2697,f2449])).
% 39.52/5.49 fof(f2702,plain,(
% 39.52/5.49 pd0_8(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_14),
% 39.52/5.49 inference(resolution,[status(thm)],[f2450,f2232])).
% 39.52/5.49 fof(f2703,plain,(
% 39.52/5.49 spl0_41|spl0_22|~spl0_14),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2702,f2697,f2479,f2449])).
% 39.52/5.49 fof(f2704,plain,(
% 39.52/5.49 spl0_42 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,sk0_91)),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2706,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,sk0_91)),v_L)|spl0_42),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2704])).
% 39.52/5.49 fof(f2712,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|~spl0_14),
% 39.52/5.49 inference(resolution,[status(thm)],[f2450,f2228])).
% 39.52/5.49 fof(f2717,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|~spl0_39|~spl0_40),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f2692,f2695])).
% 39.52/5.49 fof(f2718,plain,(
% 39.52/5.49 $false|~spl0_39|~spl0_40),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2717,f2156])).
% 39.52/5.49 fof(f2719,plain,(
% 39.52/5.49 ~spl0_39|~spl0_40),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2718])).
% 39.52/5.49 fof(f2752,plain,(
% 39.52/5.49 spl0_44 <=> sk0_100(sk0_92,sk0_91)=sk0_91),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2753,plain,(
% 39.52/5.49 sk0_100(sk0_92,sk0_91)=sk0_91|~spl0_44),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2752])).
% 39.52/5.49 fof(f2755,plain,(
% 39.52/5.49 spl0_45 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2756,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)|~spl0_45),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2755])).
% 39.52/5.49 fof(f2757,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)|spl0_45),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2755])).
% 39.52/5.49 fof(f2760,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_91),v_L)|~spl0_44|~spl0_45),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f2753,f2756])).
% 39.52/5.49 fof(f2761,plain,(
% 39.52/5.49 $false|~spl0_44|~spl0_45),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2760,f2156])).
% 39.52/5.49 fof(f2762,plain,(
% 39.52/5.49 ~spl0_44|~spl0_45),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2761])).
% 39.52/5.49 fof(f2763,plain,(
% 39.52/5.49 spl0_46 <=> sk0_97(sk0_92,v_x)=v_y),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2764,plain,(
% 39.52/5.49 sk0_97(sk0_92,v_x)=v_y|~spl0_46),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2763])).
% 39.52/5.49 fof(f2766,plain,(
% 39.52/5.49 spl0_47 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_x),v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2769,plain,(
% 39.52/5.49 sk0_97(sk0_92,v_x)=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_x),v_y),v_L)|~spl0_37),
% 39.52/5.49 inference(resolution,[status(thm)],[f2649,f2430])).
% 39.52/5.49 fof(f2770,plain,(
% 39.52/5.49 spl0_46|spl0_47|~spl0_37),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2769,f2763,f2766,f2648])).
% 39.52/5.49 fof(f2785,plain,(
% 39.52/5.49 sk0_100(sk0_92,sk0_91)=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)|~spl0_41),
% 39.52/5.49 inference(resolution,[status(thm)],[f2698,f2433])).
% 39.52/5.49 fof(f2786,plain,(
% 39.52/5.49 spl0_44|spl0_45|~spl0_41),
% 39.52/5.49 inference(split_clause,[status(thm)],[f2785,f2752,f2755,f2697])).
% 39.52/5.49 fof(f2787,plain,(
% 39.52/5.49 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~spl0_14)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2155,f2712])).
% 39.52/5.49 fof(f2788,plain,(
% 39.52/5.49 ![X0,X1,X2]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)|X2=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2155,f2157])).
% 39.52/5.49 fof(f2793,plain,(
% 39.52/5.49 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~spl0_23)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2485,f2155])).
% 39.52/5.49 fof(f2796,plain,(
% 39.52/5.49 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|~spl0_22)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2480,f2155])).
% 39.52/5.49 fof(f2798,plain,(
% 39.52/5.49 ![X0]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|X0=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|~spl0_22)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2788,f2480])).
% 39.52/5.49 fof(f2799,plain,(
% 39.52/5.49 ![X0]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|X0=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~spl0_23)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2788,f2485])).
% 39.52/5.49 fof(f2800,plain,(
% 39.52/5.49 ![X0]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|X0=sk0_93|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_93),v_L)|~spl0_11)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2788,f2280])).
% 39.52/5.49 fof(f2806,plain,(
% 39.52/5.49 ![X0,X1,X2,X3]: (c_member(X0,X1,X2)|~c_member(X3,X1,X2))),
% 39.52/5.49 inference(resolution,[status(thm)],[f588,f587])).
% 39.52/5.49 fof(f2807,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_22)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2806,f2480])).
% 39.52/5.49 fof(f2810,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|~spl0_14)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2806,f2712])).
% 39.52/5.49 fof(f2811,plain,(
% 39.52/5.49 ![X0,X1,X2]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|X2=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2806,f2157])).
% 39.52/5.49 fof(f2856,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_92),v_L)|~spl0_23|~spl0_22),
% 39.52/5.49 inference(resolution,[status(thm)],[f2793,f2807])).
% 39.52/5.49 fof(f2857,plain,(
% 39.52/5.49 $false|~spl0_23|~spl0_22),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2856,f2156])).
% 39.52/5.49 fof(f2858,plain,(
% 39.52/5.49 ~spl0_23|~spl0_22),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2857])).
% 39.52/5.49 fof(f2885,plain,(
% 39.52/5.49 pd0_6(v_y,sk0_92)|~spl0_46|~spl0_16|~spl0_21),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2764,f2620])).
% 39.52/5.49 fof(f2886,plain,(
% 39.52/5.49 $false|~spl0_46|~spl0_16|~spl0_21),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2885,f2391])).
% 39.52/5.49 fof(f2887,plain,(
% 39.52/5.49 ~spl0_46|~spl0_16|~spl0_21),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2886])).
% 39.52/5.49 fof(f2890,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,sk0_91)),v_L)|~spl0_21),
% 39.52/5.49 inference(resolution,[status(thm)],[f2477,f2219])).
% 39.52/5.49 fof(f2891,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,v_x)),v_L)|~spl0_16|~spl0_21),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2456,f2890])).
% 39.52/5.49 fof(f2923,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_33)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2633,f2806])).
% 39.52/5.49 fof(f2931,plain,(
% 39.52/5.49 spl0_51 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2932,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|~spl0_51),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2931])).
% 39.52/5.49 fof(f2934,plain,(
% 39.52/5.49 spl0_52 <=> v_y=sk0_92),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2935,plain,(
% 39.52/5.49 v_y=sk0_92|~spl0_52),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2934])).
% 39.52/5.49 fof(f2950,plain,(
% 39.52/5.49 ![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_y,X0),v_L)|X0=sk0_92|c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~spl0_23)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2799,f2806])).
% 39.52/5.49 fof(f2951,plain,(
% 39.52/5.49 $false|~spl0_51),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2932,f2156])).
% 39.52/5.49 fof(f2952,plain,(
% 39.52/5.49 ~spl0_51),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2951])).
% 39.52/5.49 fof(f2991,plain,(
% 39.52/5.49 spl0_55 <=> pd0_4(sk0_92,v_x)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2992,plain,(
% 39.52/5.49 pd0_4(sk0_92,v_x)|~spl0_55),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2991])).
% 39.52/5.49 fof(f2994,plain,(
% 39.52/5.49 spl0_56 <=> pd0_6(v_y,sk0_92)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f2995,plain,(
% 39.52/5.49 pd0_6(v_y,sk0_92)|~spl0_56),
% 39.52/5.49 inference(component_clause,[status(thm)],[f2994])).
% 39.52/5.49 fof(f2999,plain,(
% 39.52/5.49 $false|~spl0_56),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2995,f2391])).
% 39.52/5.49 fof(f3000,plain,(
% 39.52/5.49 ~spl0_56),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f2999])).
% 39.52/5.49 fof(f3076,plain,(
% 39.52/5.49 ![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_y,X0),v_L)|X0=sk0_93|c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_93),v_L)|~spl0_11)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2800,f2806])).
% 39.52/5.49 fof(f3131,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_41),
% 39.52/5.49 inference(resolution,[status(thm)],[f2698,f2235])).
% 39.52/5.49 fof(f3153,plain,(
% 39.52/5.49 spl0_59 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3154,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_59)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3153])).
% 39.52/5.49 fof(f3156,plain,(
% 39.52/5.49 spl0_60 <=> v_x=v_y),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3157,plain,(
% 39.52/5.49 v_x=v_y|~spl0_60),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3156])).
% 39.52/5.49 fof(f3159,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|v_x=v_y|spl0_33)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2811,f2634])).
% 39.52/5.49 fof(f3160,plain,(
% 39.52/5.49 spl0_59|spl0_60|spl0_33),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3159,f3153,f3156,f2632])).
% 39.52/5.49 fof(f3161,plain,(
% 39.52/5.49 spl0_61 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3162,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_61)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3161])).
% 39.52/5.49 fof(f3164,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|v_y=sk0_92|spl0_23)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2811,f2486])).
% 39.52/5.49 fof(f3165,plain,(
% 39.52/5.49 spl0_61|spl0_52|spl0_23),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3164,f3161,f2934,f2484])).
% 39.52/5.49 fof(f3167,plain,(
% 39.52/5.49 ![X0,X1]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|X1=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~spl0_22)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2811,f2796])).
% 39.52/5.49 fof(f3168,plain,(
% 39.52/5.49 ![X0,X1,X2]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(X1,X2),X2),v_L)|X2=sk0_99(X1,X2)|~pd0_5(X1,X2)|pd0_7(X1,X2))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2811,f2217])).
% 39.52/5.49 fof(f3170,plain,(
% 39.52/5.49 ![X0,X1,X2,X3]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|X2=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)|X3=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2811,f2788])).
% 39.52/5.49 fof(f3172,plain,(
% 39.52/5.49 ![X0,X1,X2,X3]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|X2=X1|~pd0_8(X1,X3,X2))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2811,f2237])).
% 39.52/5.49 fof(f3173,plain,(
% 39.52/5.49 ![X0,X1,X2,X3]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|X2=X1|c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2811,f2806])).
% 39.52/5.49 fof(f3210,plain,(
% 39.52/5.49 spl0_62 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3211,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_62)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3210])).
% 39.52/5.49 fof(f3223,plain,(
% 39.52/5.49 ![X0,X1,X2]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(X1,X2),X2),v_L)|X2=sk0_99(X1,X2)|pd0_7(X1,X2)|~pd0_4(X1,X2)|X2=v_x)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3168,f2203])).
% 39.52/5.49 fof(f3244,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_16|~spl0_17),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2456,f2461])).
% 39.52/5.49 fof(f3272,plain,(
% 39.52/5.49 $false|~spl0_60),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f3157,f2153])).
% 39.52/5.49 fof(f3273,plain,(
% 39.52/5.49 ~spl0_60),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f3272])).
% 39.52/5.49 fof(f3336,plain,(
% 39.52/5.49 spl0_66 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),sk0_91),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3337,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),sk0_91),v_L)|~spl0_66)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3336])).
% 39.52/5.49 fof(f3339,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),sk0_91),v_L)|sk0_91=sk0_99(sk0_92,sk0_91)|pd0_7(sk0_92,sk0_91)|sk0_91=v_x|~spl0_0)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2239,f3223])).
% 39.52/5.49 fof(f3340,plain,(
% 39.52/5.49 spl0_66|spl0_29|spl0_14|spl0_16|~spl0_0),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3339,f3336,f2576,f2449,f2455,f2238])).
% 39.52/5.49 fof(f3359,plain,(
% 39.52/5.49 spl0_67 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3360,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)|~spl0_67)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3359])).
% 39.52/5.49 fof(f3364,plain,(
% 39.52/5.49 spl0_68 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3365,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|~spl0_68)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3364])).
% 39.52/5.49 fof(f3375,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_39|~spl0_14),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f2692,f2712])).
% 39.52/5.49 fof(f3376,plain,(
% 39.52/5.49 spl0_23|~spl0_39|~spl0_14),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3375,f2484,f2691,f2449])).
% 39.52/5.49 fof(f3401,plain,(
% 39.52/5.49 pd0_8(sk0_91,sk0_92,sk0_91)|~spl0_44|~spl0_41),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f2753,f2698])).
% 39.52/5.49 fof(f3404,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_44|~spl0_41),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f2753,f3131])).
% 39.52/5.49 fof(f3445,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_44|~spl0_41)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3404,f2806])).
% 39.52/5.49 fof(f3504,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),sk0_91),v_L)|sk0_91=sk0_99(sk0_92,sk0_91)|pd0_7(sk0_92,sk0_91)|~spl0_19)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2469,f3168])).
% 39.52/5.49 fof(f3505,plain,(
% 39.52/5.49 spl0_66|spl0_29|spl0_14|~spl0_19),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3504,f3336,f2576,f2449,f2468])).
% 39.52/5.49 fof(f3521,plain,(
% 39.52/5.49 spl0_69 <=> ~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3524,plain,(
% 39.52/5.49 spl0_70 <=> c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X5,X6),X7)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3525,plain,(
% 39.52/5.49 ![X0,X1,X2,X3]: (c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|~spl0_70)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3524])).
% 39.52/5.49 fof(f3530,plain,(
% 39.52/5.49 spl0_71 <=> c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X5,X5),X6)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3531,plain,(
% 39.52/5.49 ![X0,X1,X2]: (c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X1),X2)|~spl0_71)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3530])).
% 39.52/5.49 fof(f3533,plain,(
% 39.52/5.49 ![X0,X1,X2,X3,X4,X5,X6]: (~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X5,X5),X6)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2293,f606])).
% 39.52/5.49 fof(f3534,plain,(
% 39.52/5.49 spl0_69|spl0_71),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3533,f3521,f3530])).
% 39.52/5.49 fof(f3563,plain,(
% 39.52/5.49 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|~spl0_61)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3162,f2155])).
% 39.52/5.49 fof(f3565,plain,(
% 39.52/5.49 $false|~spl0_61|spl0_22),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2481,f3162])).
% 39.52/5.49 fof(f3566,plain,(
% 39.52/5.49 ~spl0_61|spl0_22),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f3565])).
% 39.52/5.49 fof(f3570,plain,(
% 39.52/5.49 pd0_5(sk0_92,sk0_91)|sk0_91=v_x|~spl0_0),
% 39.52/5.49 inference(resolution,[status(thm)],[f2203,f2239])).
% 39.52/5.49 fof(f3571,plain,(
% 39.52/5.49 spl0_19|spl0_16|~spl0_0),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3570,f2468,f2455,f2238])).
% 39.52/5.49 fof(f3579,plain,(
% 39.52/5.49 spl0_74 <=> ~pd0_8(v_y,X0,sk0_92)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3582,plain,(
% 39.52/5.49 ![X0]: (sk0_92=v_y|~pd0_8(v_y,X0,sk0_92)|spl0_23)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2486,f3172])).
% 39.52/5.49 fof(f3583,plain,(
% 39.52/5.49 spl0_52|spl0_74|spl0_23),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3582,f2934,f3579,f2484])).
% 39.52/5.49 fof(f3593,plain,(
% 39.52/5.49 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_100(X1,X0)),v_L)|~pd0_7(X1,X0)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2237,f2233])).
% 39.52/5.49 fof(f3596,plain,(
% 39.52/5.49 ![X0,X1,X2,X3]: (~pd0_8(X0,X1,X2)|c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2235,f2806])).
% 39.52/5.49 fof(f3601,plain,(
% 39.52/5.49 ![X0,X1,X2]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2213,f2806])).
% 39.52/5.49 fof(f3605,plain,(
% 39.52/5.49 ![X0,X1,X2]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(X0,X1)),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2215,f2806])).
% 39.52/5.49 fof(f3606,plain,(
% 39.52/5.49 ![X0,X1,X2]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|pd0_6(sk0_97(X0,X1),X0)|c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2207,f2806])).
% 39.52/5.49 fof(f3610,plain,(
% 39.52/5.49 spl0_76 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3612,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)|spl0_76),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3610])).
% 39.52/5.49 fof(f3624,plain,(
% 39.52/5.49 ![X0,X1,X2]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X1),v_L)|X1=sk0_92|c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~spl0_22)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3167,f2806])).
% 39.52/5.49 fof(f3626,plain,(
% 39.52/5.49 spl0_77 <=> pd0_8(sk0_91,sk0_92,sk0_91)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3627,plain,(
% 39.52/5.49 pd0_8(sk0_91,sk0_92,sk0_91)|~spl0_77),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3626])).
% 39.52/5.49 fof(f3629,plain,(
% 39.52/5.49 ~pd0_7(sk0_92,sk0_91)|pd0_8(sk0_91,sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_44),
% 39.52/5.49 inference(paramodulation,[status(thm)],[f2753,f2233])).
% 39.52/5.49 fof(f3630,plain,(
% 39.52/5.49 ~spl0_14|spl0_77|~spl0_17|~spl0_44),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3629,f2449,f3626,f2460,f2752])).
% 39.52/5.49 fof(f3635,plain,(
% 39.52/5.49 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|~spl0_61)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3563,f2806])).
% 39.52/5.49 fof(f3638,plain,(
% 39.52/5.49 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~spl0_14)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2787,f2806])).
% 39.52/5.49 fof(f3640,plain,(
% 39.52/5.49 spl0_78 <=> ~pd0_8(v_y,X0,sk0_91)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3645,plain,(
% 39.52/5.49 spl0_79 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3646,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_79)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3645])).
% 39.52/5.49 fof(f3650,plain,(
% 39.52/5.49 ![X0,X1,X2]: (pd0_7(X0,X1)|~pd0_4(X0,X1)|X1=v_x|c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(X0,X1)),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2417,f2806])).
% 39.52/5.49 fof(f3688,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_14),
% 39.52/5.49 inference(resolution,[status(thm)],[f3638,f2156])).
% 39.52/5.49 fof(f3690,plain,(
% 39.52/5.49 spl0_81 <=> sk0_91=sk0_92),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3691,plain,(
% 39.52/5.49 sk0_91=sk0_92|~spl0_81),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3690])).
% 39.52/5.49 fof(f3693,plain,(
% 39.52/5.49 ![X0]: (sk0_91=sk0_92|c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_14|~spl0_22)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3688,f3624])).
% 39.52/5.49 fof(f3694,plain,(
% 39.52/5.49 spl0_81|spl0_79|~spl0_14|~spl0_22),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3693,f3690,f3645,f2449,f2479])).
% 39.52/5.49 fof(f3695,plain,(
% 39.52/5.49 ![X0]: (~pd0_8(sk0_91,sk0_92,X0)|~spl0_14)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3688,f3596])).
% 39.52/5.49 fof(f3696,plain,(
% 39.52/5.49 spl0_82 <=> ~pd0_8(sk0_92,X0,sk0_91)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3699,plain,(
% 39.52/5.49 ![X0]: (sk0_91=sk0_92|~pd0_8(sk0_92,X0,sk0_91)|~spl0_14)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3688,f3172])).
% 39.52/5.49 fof(f3700,plain,(
% 39.52/5.49 spl0_81|spl0_82|~spl0_14),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3699,f3690,f3696,f2449])).
% 39.52/5.49 fof(f3701,plain,(
% 39.52/5.49 spl0_83 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3702,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|~spl0_83)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3701])).
% 39.52/5.49 fof(f3704,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|sk0_92=sk0_91|~spl0_14)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3688,f3173])).
% 39.52/5.49 fof(f3705,plain,(
% 39.52/5.49 spl0_83|spl0_81|~spl0_14),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3704,f3701,f3690,f2449])).
% 39.52/5.49 fof(f3721,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_81|spl0_22),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f3691,f2481])).
% 39.52/5.49 fof(f3742,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_91),v_L)|~spl0_81|~spl0_14)),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f3691,f2810])).
% 39.52/5.49 fof(f3753,plain,(
% 39.52/5.49 $false|~spl0_81|~spl0_14),
% 39.52/5.49 inference(resolution,[status(thm)],[f3742,f2156])).
% 39.52/5.49 fof(f3754,plain,(
% 39.52/5.49 ~spl0_81|~spl0_14),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f3753])).
% 39.52/5.49 fof(f3806,plain,(
% 39.52/5.49 ![X0,X1,X2]: (X0=sk0_92|c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~spl0_23)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2950,f2806])).
% 39.52/5.49 fof(f3810,plain,(
% 39.52/5.49 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|spl0_22)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2155,f2481])).
% 39.52/5.49 fof(f3811,plain,(
% 39.52/5.49 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|~spl0_14)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2155,f3688])).
% 39.52/5.49 fof(f3812,plain,(
% 39.52/5.49 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2155,f2156])).
% 39.52/5.49 fof(f3813,plain,(
% 39.52/5.49 ![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),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2155,f2806])).
% 39.52/5.49 fof(f3814,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_14),
% 39.52/5.49 inference(resolution,[status(thm)],[f3593,f2450])).
% 39.52/5.49 fof(f3815,plain,(
% 39.52/5.49 ~spl0_76|~spl0_17|~spl0_14),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3814,f3610,f2460,f2449])).
% 39.52/5.49 fof(f3817,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|~spl0_79),
% 39.52/5.49 inference(resolution,[status(thm)],[f3812,f3646])).
% 39.52/5.49 fof(f3820,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_33),
% 39.52/5.49 inference(resolution,[status(thm)],[f3812,f2923])).
% 39.52/5.49 fof(f3822,plain,(
% 39.52/5.49 ![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_y,X0),v_L)|~pd0_4(X0,X1)|pd0_5(X0,X1)|pd0_6(sk0_97(X0,X1),X0))),
% 39.52/5.49 inference(resolution,[status(thm)],[f3812,f3606])).
% 39.52/5.49 fof(f3823,plain,(
% 39.52/5.49 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|pd0_6(sk0_97(X0,X1),X0))),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f3822,f2204])).
% 39.52/5.49 fof(f3824,plain,(
% 39.52/5.49 ![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_y,X0),v_L)|~pd0_5(X1,X0)|pd0_7(X1,X0))),
% 39.52/5.49 inference(resolution,[status(thm)],[f3812,f3601])).
% 39.52/5.49 fof(f3828,plain,(
% 39.52/5.49 spl0_84 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(sk0_92,sk0_91)),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3829,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(sk0_92,sk0_91)),v_L)|~spl0_84)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3828])).
% 39.52/5.49 fof(f3831,plain,(
% 39.52/5.49 ![X0]: (pd0_7(sk0_92,sk0_91)|c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(sk0_92,sk0_91)),v_L)|~spl0_19)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3605,f2469])).
% 39.52/5.49 fof(f3832,plain,(
% 39.52/5.49 spl0_14|spl0_84|~spl0_19),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3831,f2449,f3828,f2468])).
% 39.52/5.49 fof(f3833,plain,(
% 39.52/5.49 ![X0]: (pd0_7(sk0_92,sk0_91)|sk0_91=v_x|c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(sk0_92,sk0_91)),v_L)|~spl0_0)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3650,f2239])).
% 39.52/5.49 fof(f3834,plain,(
% 39.52/5.49 spl0_14|spl0_16|spl0_84|~spl0_0),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3833,f2449,f2455,f3828,f2238])).
% 39.52/5.49 fof(f3835,plain,(
% 39.52/5.49 pd0_5(sk0_92,sk0_91)|pd0_6(sk0_97(sk0_92,sk0_91),sk0_92)|~spl0_0),
% 39.52/5.49 inference(resolution,[status(thm)],[f3823,f2239])).
% 39.52/5.49 fof(f3836,plain,(
% 39.52/5.49 spl0_19|spl0_21|~spl0_0),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3835,f2468,f2476,f2238])).
% 39.52/5.49 fof(f3843,plain,(
% 39.52/5.49 ![X0]: (~pd0_8(sk0_91,v_y,X0)|~spl0_79)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3817,f3596])).
% 39.52/5.49 fof(f3878,plain,(
% 39.52/5.49 spl0_85 <=> ~pd0_8(v_y,X0,v_x)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3881,plain,(
% 39.52/5.49 ![X0]: (v_x=v_y|~pd0_8(v_y,X0,v_x)|~spl0_33)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3820,f3172])).
% 39.52/5.49 fof(f3882,plain,(
% 39.52/5.49 spl0_60|spl0_85|~spl0_33),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3881,f3156,f3878,f2632])).
% 39.52/5.49 fof(f3883,plain,(
% 39.52/5.49 spl0_86 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f3884,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_86)),
% 39.52/5.49 inference(component_clause,[status(thm)],[f3883])).
% 39.52/5.49 fof(f3886,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|v_y=v_x|~spl0_33)),
% 39.52/5.49 inference(resolution,[status(thm)],[f3820,f3173])).
% 39.52/5.49 fof(f3887,plain,(
% 39.52/5.49 spl0_86|spl0_60|~spl0_33),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3886,f3883,f3156,f2632])).
% 39.52/5.49 fof(f3894,plain,(
% 39.52/5.49 pd0_8(sk0_91,v_y,sk0_91)|~spl0_52|~spl0_77),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2935,f3627])).
% 39.52/5.49 fof(f3895,plain,(
% 39.52/5.49 $false|~spl0_79|~spl0_52|~spl0_77),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f3894,f3843])).
% 39.52/5.49 fof(f3896,plain,(
% 39.52/5.49 ~spl0_79|~spl0_52|~spl0_77),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f3895])).
% 39.52/5.49 fof(f3909,plain,(
% 39.52/5.49 $false|~spl0_79|spl0_17),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2462,f3646])).
% 39.52/5.49 fof(f3910,plain,(
% 39.52/5.49 ~spl0_79|spl0_17),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f3909])).
% 39.52/5.49 fof(f3967,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|pd0_7(sk0_92,sk0_91)|~spl0_19),
% 39.52/5.49 inference(resolution,[status(thm)],[f2469,f3824])).
% 39.52/5.49 fof(f3968,plain,(
% 39.52/5.49 ~spl0_40|spl0_14|~spl0_19),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3967,f2694,f2449,f2468])).
% 39.52/5.49 fof(f3975,plain,(
% 39.52/5.49 ![X0]: (sk0_91=sk0_92|c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|spl0_40|~spl0_23)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2696,f3806])).
% 39.52/5.49 fof(f3976,plain,(
% 39.52/5.49 spl0_81|spl0_83|spl0_40|~spl0_23),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3975,f3690,f3701,f2694,f2484])).
% 39.52/5.49 fof(f3978,plain,(
% 39.52/5.49 ![X0]: (sk0_91=v_y|~pd0_8(v_y,X0,sk0_91)|spl0_40)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2696,f3172])).
% 39.52/5.49 fof(f3979,plain,(
% 39.52/5.49 spl0_39|spl0_78|spl0_40),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3978,f2691,f3640,f2694])).
% 39.52/5.49 fof(f3980,plain,(
% 39.52/5.49 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|v_y=sk0_91|spl0_40)),
% 39.52/5.49 inference(resolution,[status(thm)],[f2696,f3173])).
% 39.52/5.49 fof(f3981,plain,(
% 39.52/5.49 spl0_79|spl0_39|spl0_40),
% 39.52/5.49 inference(split_clause,[status(thm)],[f3980,f3645,f2691,f2694])).
% 39.52/5.49 fof(f4099,plain,(
% 39.52/5.49 $false|~spl0_71),
% 39.52/5.49 inference(backward_subsumption_resolution,[status(thm)],[f2156,f3531])).
% 39.52/5.49 fof(f4100,plain,(
% 39.52/5.49 ~spl0_71),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f4099])).
% 39.52/5.49 fof(f4108,plain,(
% 39.52/5.49 $false|~spl0_70),
% 39.52/5.49 inference(backward_subsumption_resolution,[status(thm)],[f2285,f3525])).
% 39.52/5.49 fof(f4109,plain,(
% 39.52/5.49 ~spl0_70),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f4108])).
% 39.52/5.49 fof(f4123,plain,(
% 39.52/5.49 v_y=v_x|~spl0_16|~spl0_39),
% 39.52/5.49 inference(forward_demodulation,[status(thm)],[f2456,f2692])).
% 39.52/5.49 fof(f4124,plain,(
% 39.52/5.49 $false|~spl0_16|~spl0_39),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f4123,f2153])).
% 39.52/5.49 fof(f4125,plain,(
% 39.52/5.49 ~spl0_16|~spl0_39),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f4124])).
% 39.52/5.49 fof(f4148,plain,(
% 39.52/5.49 $false|~spl0_86|spl0_33),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f2634,f3884])).
% 39.52/5.49 fof(f4149,plain,(
% 39.52/5.49 ~spl0_86|spl0_33),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f4148])).
% 39.52/5.49 fof(f4184,plain,(
% 39.52/5.49 spl0_94 <=> ~pd0_8(v_x,X0,v_y)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f4208,plain,(
% 39.52/5.49 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_100(X1,X0)),v_L)|~pd0_7(X1,X0)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L))),
% 39.52/5.49 inference(resolution,[status(thm)],[f2237,f2232])).
% 39.52/5.49 fof(f4239,plain,(
% 39.52/5.49 $false|~spl0_14|~spl0_77),
% 39.52/5.49 inference(forward_subsumption_resolution,[status(thm)],[f3627,f3695])).
% 39.52/5.49 fof(f4240,plain,(
% 39.52/5.49 ~spl0_14|~spl0_77),
% 39.52/5.49 inference(contradiction_clause,[status(thm)],[f4239])).
% 39.52/5.49 fof(f4298,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_14),
% 39.52/5.49 inference(resolution,[status(thm)],[f2450,f4208])).
% 39.52/5.49 fof(f4299,plain,(
% 39.52/5.49 ~spl0_76|spl0_22|~spl0_14),
% 39.52/5.49 inference(split_clause,[status(thm)],[f4298,f3610,f2479,f2449])).
% 39.52/5.49 fof(f4331,plain,(
% 39.52/5.49 spl0_103 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f4333,plain,(
% 39.52/5.49 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|spl0_103),
% 39.52/5.49 inference(component_clause,[status(thm)],[f4331])).
% 39.52/5.49 fof(f4358,plain,(
% 39.52/5.49 spl0_104 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f4373,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|~spl0_29|~spl0_15),
% 39.52/5.49 inference(backward_demodulation,[status(thm)],[f2577,f2453])).
% 39.52/5.49 fof(f4374,plain,(
% 39.52/5.49 spl0_40|~spl0_29|~spl0_15),
% 39.52/5.49 inference(split_clause,[status(thm)],[f4373,f2694,f2576,f2452])).
% 39.52/5.49 fof(f4384,plain,(
% 39.52/5.49 spl0_106 <=> pd0_5(v_x,sk0_91)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f4385,plain,(
% 39.52/5.49 pd0_5(v_x,sk0_91)|~spl0_106),
% 39.52/5.49 inference(component_clause,[status(thm)],[f4384])).
% 39.52/5.49 fof(f4397,plain,(
% 39.52/5.49 spl0_109 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)),
% 39.52/5.49 introduced(split_symbol_definition)).
% 39.52/5.49 fof(f4398,plain,(
% 39.52/5.49 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_109),
% 40.25/5.51 inference(component_clause,[status(thm)],[f4397])).
% 40.25/5.51 fof(f4417,plain,(
% 40.25/5.51 spl0_33|~spl0_16|~spl0_17),
% 40.25/5.51 inference(split_clause,[status(thm)],[f3244,f2632,f2455,f2460])).
% 40.25/5.51 fof(f4426,plain,(
% 40.25/5.51 ~spl0_17|~spl0_81|spl0_22),
% 40.25/5.51 inference(split_clause,[status(thm)],[f3721,f2460,f3690,f2479])).
% 40.25/5.51 fof(f4486,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_83),
% 40.25/5.51 inference(resolution,[status(thm)],[f3812,f3702])).
% 40.25/5.51 fof(f4531,plain,(
% 40.25/5.51 pd0_5(sk0_92,v_x)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|~spl0_55),
% 40.25/5.51 inference(resolution,[status(thm)],[f2992,f2204])).
% 40.25/5.51 fof(f4532,plain,(
% 40.25/5.51 spl0_35|spl0_23|~spl0_55),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4531,f2640,f2484,f2991])).
% 40.25/5.51 fof(f4566,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,v_x)),v_L)|~spl0_16|~spl0_21)),
% 40.25/5.51 inference(resolution,[status(thm)],[f2891,f2806])).
% 40.25/5.51 fof(f4582,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_x),v_y),v_L)|~spl0_16|~spl0_21|spl0_22),
% 40.25/5.51 inference(resolution,[status(thm)],[f4566,f3810])).
% 40.25/5.51 fof(f4583,plain,(
% 40.25/5.51 ~spl0_47|~spl0_16|~spl0_21|spl0_22),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4582,f2766,f2455,f2476,f2479])).
% 40.25/5.51 fof(f4586,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(v_x,sk0_91)),v_L)|~spl0_25|~spl0_84)),
% 40.25/5.51 inference(backward_demodulation,[status(thm)],[f2495,f3829])).
% 40.25/5.51 fof(f4587,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_59),
% 40.25/5.51 inference(resolution,[status(thm)],[f3154,f3812])).
% 40.25/5.51 fof(f4641,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_x,sk0_91),sk0_91),v_L)|~spl0_25|~spl0_66)),
% 40.25/5.51 inference(backward_demodulation,[status(thm)],[f2495,f3337])).
% 40.25/5.51 fof(f4673,plain,(
% 40.25/5.51 ![X0]: (v_y=v_x|~pd0_8(v_x,X0,v_y)|~spl0_59)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4587,f3172])).
% 40.25/5.51 fof(f4674,plain,(
% 40.25/5.51 spl0_60|spl0_94|~spl0_59),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4673,f3156,f4184,f3153])).
% 40.25/5.51 fof(f4716,plain,(
% 40.25/5.51 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|spl0_40)),
% 40.25/5.51 inference(resolution,[status(thm)],[f2696,f3813])).
% 40.25/5.51 fof(f4722,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|~spl0_4),
% 40.25/5.51 inference(resolution,[status(thm)],[f2253,f3812])).
% 40.25/5.51 fof(f4723,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|~spl0_4)),
% 40.25/5.51 inference(resolution,[status(thm)],[f2253,f2806])).
% 40.25/5.51 fof(f4744,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)|~spl0_8|~spl0_4)),
% 40.25/5.51 inference(backward_demodulation,[status(thm)],[f2268,f4723])).
% 40.25/5.51 fof(f4751,plain,(
% 40.25/5.51 spl0_118 <=> ~pd0_8(sk0_94,X0,v_y)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f4757,plain,(
% 40.25/5.51 spl0_119 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f4758,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)|~spl0_119)),
% 40.25/5.51 inference(component_clause,[status(thm)],[f4757])).
% 40.25/5.51 fof(f4779,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_68),
% 40.25/5.51 inference(resolution,[status(thm)],[f3812,f3365])).
% 40.25/5.51 fof(f4780,plain,(
% 40.25/5.51 ~spl0_17|~spl0_68),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4779,f2460,f3364])).
% 40.25/5.51 fof(f4785,plain,(
% 40.25/5.51 $false|~spl0_119|spl0_7),
% 40.25/5.51 inference(forward_subsumption_resolution,[status(thm)],[f2265,f4758])).
% 40.25/5.51 fof(f4786,plain,(
% 40.25/5.51 ~spl0_119|spl0_7),
% 40.25/5.51 inference(contradiction_clause,[status(thm)],[f4785])).
% 40.25/5.51 fof(f4808,plain,(
% 40.25/5.51 spl0_120 <=> ~pd0_8(sk0_92,X0,v_x)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f4811,plain,(
% 40.25/5.51 ![X0]: (v_x=sk0_92|~pd0_8(sk0_92,X0,v_x)|spl0_103)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4333,f3172])).
% 40.25/5.51 fof(f4812,plain,(
% 40.25/5.51 spl0_25|spl0_120|spl0_103),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4811,f2494,f4808,f4331])).
% 40.25/5.51 fof(f4814,plain,(
% 40.25/5.51 spl0_121 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f4815,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_121)),
% 40.25/5.51 inference(component_clause,[status(thm)],[f4814])).
% 40.25/5.51 fof(f4817,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|sk0_92=v_x|spl0_103)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4333,f3173])).
% 40.25/5.51 fof(f4818,plain,(
% 40.25/5.51 spl0_121|spl0_25|spl0_103),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4817,f4814,f2494,f4331])).
% 40.25/5.51 fof(f4820,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_121),
% 40.25/5.51 inference(resolution,[status(thm)],[f4815,f3812])).
% 40.25/5.51 fof(f4872,plain,(
% 40.25/5.51 ![X0]: (v_x=sk0_92|~pd0_8(sk0_92,X0,v_x)|~spl0_121)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4820,f3172])).
% 40.25/5.51 fof(f4873,plain,(
% 40.25/5.51 spl0_25|spl0_120|~spl0_121),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4872,f2494,f4808,f4814])).
% 40.25/5.51 fof(f4966,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_14),
% 40.25/5.51 inference(resolution,[status(thm)],[f3811,f3638])).
% 40.25/5.51 fof(f4967,plain,(
% 40.25/5.51 ~spl0_104|~spl0_14),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4966,f4358,f2449])).
% 40.25/5.51 fof(f4973,plain,(
% 40.25/5.51 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|~pd0_8(X0,sk0_92,X1)|~spl0_14)),
% 40.25/5.51 inference(resolution,[status(thm)],[f3811,f3596])).
% 40.25/5.51 fof(f4975,plain,(
% 40.25/5.51 spl0_127 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,X0),sk0_91),v_L)|~pd0_7(sk0_92,X0)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f4976,plain,(
% 40.25/5.51 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,X0),sk0_91),v_L)|~pd0_7(sk0_92,X0)|~spl0_127)),
% 40.25/5.51 inference(component_clause,[status(thm)],[f4975])).
% 40.25/5.51 fof(f4978,plain,(
% 40.25/5.51 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,X0),sk0_91),v_L)|~pd0_7(sk0_92,X0)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_14)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4973,f2232])).
% 40.25/5.51 fof(f4979,plain,(
% 40.25/5.51 spl0_127|spl0_22|~spl0_14),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4978,f4975,f2479,f2449])).
% 40.25/5.51 fof(f4982,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)|~spl0_127|~spl0_14),
% 40.25/5.51 inference(resolution,[status(thm)],[f4976,f2450])).
% 40.25/5.51 fof(f4983,plain,(
% 40.25/5.51 ~spl0_45|~spl0_127|~spl0_14),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4982,f2755,f4975,f2449])).
% 40.25/5.51 fof(f4984,plain,(
% 40.25/5.51 spl0_77|~spl0_44|~spl0_41),
% 40.25/5.51 inference(split_clause,[status(thm)],[f3401,f3626,f2752,f2697])).
% 40.25/5.51 fof(f4985,plain,(
% 40.25/5.51 $false|~spl0_44|~spl0_41|~spl0_83),
% 40.25/5.51 inference(backward_subsumption_resolution,[status(thm)],[f4486,f3445])).
% 40.25/5.51 fof(f4986,plain,(
% 40.25/5.51 ~spl0_44|~spl0_41|~spl0_83),
% 40.25/5.51 inference(contradiction_clause,[status(thm)],[f4985])).
% 40.25/5.51 fof(f5088,plain,(
% 40.25/5.51 spl0_131 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(v_x,sk0_91)),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5091,plain,(
% 40.25/5.51 ![X0]: (pd0_7(v_x,sk0_91)|c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_99(v_x,sk0_91)),v_L)|~spl0_106)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4385,f3605])).
% 40.25/5.51 fof(f5092,plain,(
% 40.25/5.51 spl0_26|spl0_131|~spl0_106),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5091,f2540,f5088,f4384])).
% 40.25/5.51 fof(f5101,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|pd0_7(v_x,sk0_91)|~spl0_106),
% 40.25/5.51 inference(resolution,[status(thm)],[f4385,f3824])).
% 40.25/5.51 fof(f5102,plain,(
% 40.25/5.51 ~spl0_40|spl0_26|~spl0_106),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5101,f2694,f2540,f4384])).
% 40.25/5.51 fof(f5103,plain,(
% 40.25/5.51 ![X0]: (pd0_7(v_x,sk0_91)|c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_y),v_L)|~spl0_106)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4385,f3601])).
% 40.25/5.51 fof(f5104,plain,(
% 40.25/5.51 spl0_26|spl0_79|~spl0_106),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5103,f2540,f3645,f4384])).
% 40.25/5.51 fof(f5134,plain,(
% 40.25/5.51 pd0_5(v_x,sk0_91)|~spl0_25|~spl0_19),
% 40.25/5.51 inference(backward_demodulation,[status(thm)],[f2495,f2469])).
% 40.25/5.51 fof(f5135,plain,(
% 40.25/5.51 spl0_106|~spl0_25|~spl0_19),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5134,f4384,f2494,f2468])).
% 40.25/5.51 fof(f5145,plain,(
% 40.25/5.51 spl0_135 <=> ~pd0_8(v_y,X0,sk0_93)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5148,plain,(
% 40.25/5.51 ![X0]: (sk0_93=v_y|~pd0_8(v_y,X0,sk0_93)|spl0_11)),
% 40.25/5.51 inference(resolution,[status(thm)],[f2281,f3172])).
% 40.25/5.51 fof(f5149,plain,(
% 40.25/5.51 spl0_8|spl0_135|spl0_11),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5148,f2267,f5145,f2279])).
% 40.25/5.51 fof(f5151,plain,(
% 40.25/5.51 spl0_136 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_y),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5154,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_y),v_L)|v_y=sk0_93|spl0_11)),
% 40.25/5.51 inference(resolution,[status(thm)],[f2281,f3173])).
% 40.25/5.51 fof(f5155,plain,(
% 40.25/5.51 spl0_136|spl0_8|spl0_11),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5154,f5151,f2267,f2279])).
% 40.25/5.51 fof(f5165,plain,(
% 40.25/5.51 spl0_137 <=> ~pd0_8(sk0_94,X0,sk0_93)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5168,plain,(
% 40.25/5.51 ![X0]: (sk0_93=sk0_94|~pd0_8(sk0_94,X0,sk0_93)|~spl0_4)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4722,f3172])).
% 40.25/5.51 fof(f5169,plain,(
% 40.25/5.51 spl0_1|spl0_137|~spl0_4),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5168,f2241,f5165,f2252])).
% 40.25/5.51 fof(f5171,plain,(
% 40.25/5.51 spl0_138 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5172,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|~spl0_138)),
% 40.25/5.51 inference(component_clause,[status(thm)],[f5171])).
% 40.25/5.51 fof(f5174,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|sk0_94=sk0_93|~spl0_4)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4722,f3173])).
% 40.25/5.51 fof(f5175,plain,(
% 40.25/5.51 spl0_138|spl0_1|~spl0_4),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5174,f5171,f2241,f2252])).
% 40.25/5.51 fof(f5176,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_62),
% 40.25/5.51 inference(resolution,[status(thm)],[f3211,f3812])).
% 40.25/5.51 fof(f5177,plain,(
% 40.25/5.51 ~spl0_22|~spl0_62),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5176,f2479,f3210])).
% 40.25/5.51 fof(f5183,plain,(
% 40.25/5.51 $false|~spl0_33|~spl0_109),
% 40.25/5.51 inference(forward_subsumption_resolution,[status(thm)],[f4398,f3820])).
% 40.25/5.51 fof(f5184,plain,(
% 40.25/5.51 ~spl0_33|~spl0_109),
% 40.25/5.51 inference(contradiction_clause,[status(thm)],[f5183])).
% 40.25/5.51 fof(f5188,plain,(
% 40.25/5.51 $false|~spl0_138|spl0_4),
% 40.25/5.51 inference(forward_subsumption_resolution,[status(thm)],[f2254,f5172])).
% 40.25/5.51 fof(f5189,plain,(
% 40.25/5.51 ~spl0_138|spl0_4),
% 40.25/5.51 inference(contradiction_clause,[status(thm)],[f5188])).
% 40.25/5.51 fof(f5190,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_59),
% 40.25/5.51 inference(resolution,[status(thm)],[f3154,f3812])).
% 40.25/5.51 fof(f5210,plain,(
% 40.25/5.51 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|spl0_23)),
% 40.25/5.51 inference(resolution,[status(thm)],[f2486,f3813])).
% 40.25/5.51 fof(f5272,plain,(
% 40.25/5.51 spl0_119|~spl0_8|~spl0_4),
% 40.25/5.51 inference(split_clause,[status(thm)],[f4744,f4757,f2267,f2252])).
% 40.25/5.51 fof(f5326,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_y),v_L)|~spl0_7),
% 40.25/5.51 inference(resolution,[status(thm)],[f2264,f3812])).
% 40.25/5.51 fof(f5326,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_y),v_L)|~spl0_7),
% 40.25/5.51 inference(resolution,[status(thm)],[f2264,f3812])).
% 40.25/5.51 fof(f5327,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)|~spl0_7)),
% 40.25/5.51 inference(resolution,[status(thm)],[f2264,f2806])).
% 40.25/5.51 fof(f5351,plain,(
% 40.25/5.51 ![X0]: (v_y=sk0_94|~pd0_8(sk0_94,X0,v_y)|~spl0_7)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5326,f3172])).
% 40.25/5.51 fof(f5352,plain,(
% 40.25/5.51 spl0_3|spl0_118|~spl0_7),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5351,f2248,f4751,f2263])).
% 40.25/5.51 fof(f5354,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)|sk0_94=v_y|~spl0_7)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5326,f3173])).
% 40.25/5.51 fof(f5355,plain,(
% 40.25/5.51 spl0_119|spl0_3|~spl0_7),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5354,f4757,f2248,f2263])).
% 40.25/5.51 fof(f5368,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_61|~spl0_59),
% 40.25/5.51 inference(resolution,[status(thm)],[f3635,f5190])).
% 40.25/5.51 fof(f5369,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_92),v_L)|~spl0_61|~spl0_7),
% 40.25/5.51 inference(resolution,[status(thm)],[f3635,f5326])).
% 40.25/5.51 fof(f5373,plain,(
% 40.25/5.51 spl0_142 <=> ~pd0_8(v_x,X0,sk0_92)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5376,plain,(
% 40.25/5.51 ![X0]: (sk0_92=v_x|~pd0_8(v_x,X0,sk0_92)|~spl0_61|~spl0_59)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5368,f3172])).
% 40.25/5.51 fof(f5377,plain,(
% 40.25/5.51 spl0_25|spl0_142|~spl0_61|~spl0_59),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5376,f2494,f5373,f3161,f3153])).
% 40.25/5.51 fof(f5379,plain,(
% 40.25/5.51 spl0_143 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5380,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_143)),
% 40.25/5.51 inference(component_clause,[status(thm)],[f5379])).
% 40.25/5.51 fof(f5382,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|v_x=sk0_92|~spl0_61|~spl0_59)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5368,f3173])).
% 40.25/5.51 fof(f5383,plain,(
% 40.25/5.51 spl0_143|spl0_25|~spl0_61|~spl0_59),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5382,f5379,f2494,f3161,f3153])).
% 40.25/5.51 fof(f5384,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_143),
% 40.25/5.51 inference(resolution,[status(thm)],[f5380,f3812])).
% 40.25/5.51 fof(f5389,plain,(
% 40.25/5.51 spl0_144 <=> sk0_92=sk0_94),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5390,plain,(
% 40.25/5.51 sk0_92=sk0_94|~spl0_144),
% 40.25/5.51 inference(component_clause,[status(thm)],[f5389])).
% 40.25/5.51 fof(f5391,plain,(
% 40.25/5.51 ~sk0_92=sk0_94|spl0_144),
% 40.25/5.51 inference(component_clause,[status(thm)],[f5389])).
% 40.25/5.51 fof(f5392,plain,(
% 40.25/5.51 spl0_145 <=> ~pd0_8(sk0_94,X0,sk0_92)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5395,plain,(
% 40.25/5.51 ![X0]: (sk0_92=sk0_94|~pd0_8(sk0_94,X0,sk0_92)|~spl0_61|~spl0_7)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5369,f3172])).
% 40.25/5.51 fof(f5396,plain,(
% 40.25/5.51 spl0_144|spl0_145|~spl0_61|~spl0_7),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5395,f5389,f5392,f3161,f2263])).
% 40.25/5.51 fof(f5398,plain,(
% 40.25/5.51 spl0_146 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_94),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5401,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_94),v_L)|sk0_94=sk0_92|~spl0_61|~spl0_7)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5369,f3173])).
% 40.25/5.51 fof(f5402,plain,(
% 40.25/5.51 spl0_146|spl0_144|~spl0_61|~spl0_7),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5401,f5398,f5389,f3161,f2263])).
% 40.25/5.51 fof(f5404,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|~spl0_144|~spl0_7),
% 40.25/5.51 inference(backward_demodulation,[status(thm)],[f5390,f5326])).
% 40.25/5.51 fof(f5405,plain,(
% 40.25/5.51 ~spl0_22|~spl0_144|~spl0_7),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5404,f2479,f5389,f2263])).
% 40.25/5.51 fof(f5434,plain,(
% 40.25/5.51 ![X0]: (sk0_92=v_x|~pd0_8(v_x,X0,sk0_92)|~spl0_143)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5384,f3172])).
% 40.25/5.51 fof(f5435,plain,(
% 40.25/5.51 spl0_25|spl0_142|~spl0_143),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5434,f2494,f5373,f5379])).
% 40.25/5.51 fof(f5533,plain,(
% 40.25/5.51 spl0_148 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_99(X0,sk0_91)),v_L)|sk0_91=sk0_99(X0,sk0_91)|pd0_7(X0,sk0_91)|~pd0_4(X0,sk0_91)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5536,plain,(
% 40.25/5.51 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_99(X0,sk0_91)),v_L)|sk0_91=sk0_99(X0,sk0_91)|pd0_7(X0,sk0_91)|~pd0_4(X0,sk0_91)|sk0_91=v_x|~spl0_14)),
% 40.25/5.51 inference(resolution,[status(thm)],[f3811,f3223])).
% 40.25/5.51 fof(f5537,plain,(
% 40.25/5.51 spl0_148|spl0_16|~spl0_14),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5536,f5533,f2455,f2449])).
% 40.25/5.51 fof(f5541,plain,(
% 40.25/5.51 ![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,sk0_92,X0),v_L)|c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|X0=sk0_91|~spl0_14)),
% 40.25/5.51 inference(resolution,[status(thm)],[f3811,f3173])).
% 40.25/5.51 fof(f5573,plain,(
% 40.25/5.51 ![X0,X1]: (X0=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~spl0_22)),
% 40.25/5.51 inference(resolution,[status(thm)],[f2798,f2806])).
% 40.25/5.51 fof(f5574,plain,(
% 40.25/5.51 spl0_151 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_y,X0),sk0_91),v_L)|~pd0_7(v_y,X0)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5599,plain,(
% 40.25/5.51 ![X0,X1]: (X0=v_y|c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X0),v_L)|~spl0_22)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5573,f3812])).
% 40.25/5.51 fof(f5609,plain,(
% 40.25/5.51 sk0_91=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|~spl0_22|~spl0_83),
% 40.25/5.51 inference(resolution,[status(thm)],[f5599,f4486])).
% 40.25/5.51 fof(f5610,plain,(
% 40.25/5.51 spl0_39|~spl0_40|~spl0_22|~spl0_83),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5609,f2691,f2694,f2479,f3701])).
% 40.25/5.51 fof(f5629,plain,(
% 40.25/5.51 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_92),v_L)|~pd0_8(X0,v_y,X1)|spl0_23)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5210,f3596])).
% 40.25/5.51 fof(f5630,plain,(
% 40.25/5.51 spl0_153 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_y,X0),sk0_92),v_L)|~pd0_7(v_y,X0)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f5633,plain,(
% 40.25/5.51 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_y,X0),sk0_92),v_L)|~pd0_7(v_y,X0)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|spl0_23)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5629,f2232])).
% 40.25/5.51 fof(f5634,plain,(
% 40.25/5.51 spl0_153|spl0_51|spl0_23),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5633,f5630,f2931,f2484])).
% 40.25/5.51 fof(f5638,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,sk0_91)),v_L)|sk0_100(sk0_92,sk0_91)=sk0_91|spl0_76|~spl0_14),
% 40.25/5.51 inference(resolution,[status(thm)],[f3612,f5541])).
% 40.25/5.51 fof(f5639,plain,(
% 40.25/5.51 ~spl0_42|spl0_44|spl0_76|~spl0_14),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5638,f2704,f2752,f3610,f2449])).
% 40.25/5.51 fof(f5649,plain,(
% 40.25/5.51 $false|~spl0_41|spl0_42),
% 40.25/5.51 inference(forward_subsumption_resolution,[status(thm)],[f2706,f3131])).
% 40.25/5.51 fof(f5650,plain,(
% 40.25/5.51 ~spl0_41|spl0_42),
% 40.25/5.51 inference(contradiction_clause,[status(thm)],[f5649])).
% 40.25/5.51 fof(f5652,plain,(
% 40.25/5.51 $false|~spl0_67|spl0_45),
% 40.25/5.51 inference(forward_subsumption_resolution,[status(thm)],[f2757,f3360])).
% 40.25/5.51 fof(f5653,plain,(
% 40.25/5.51 ~spl0_67|spl0_45),
% 40.25/5.51 inference(contradiction_clause,[status(thm)],[f5652])).
% 40.25/5.51 fof(f5729,plain,(
% 40.25/5.51 ~spl0_10|~spl0_7),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5326,f2275,f2263])).
% 40.25/5.51 fof(f5750,plain,(
% 40.25/5.51 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|~spl0_39|~spl0_17),
% 40.25/5.51 inference(backward_demodulation,[status(thm)],[f2692,f2461])).
% 40.25/5.51 fof(f5751,plain,(
% 40.25/5.51 spl0_51|~spl0_39|~spl0_17),
% 40.25/5.51 inference(split_clause,[status(thm)],[f5750,f2931,f2691,f2460])).
% 40.25/5.51 fof(f5850,plain,(
% 40.25/5.51 ~v_x=sk0_94|~spl0_25|spl0_144),
% 40.25/5.51 inference(forward_demodulation,[status(thm)],[f2495,f5391])).
% 40.25/5.51 fof(f5931,plain,(
% 40.25/5.51 $false|~spl0_25|spl0_144|~spl0_5),
% 40.25/5.51 inference(forward_subsumption_resolution,[status(thm)],[f2256,f5850])).
% 40.25/5.51 fof(f5932,plain,(
% 40.25/5.51 ~spl0_25|spl0_144|~spl0_5),
% 40.25/5.51 inference(contradiction_clause,[status(thm)],[f5931])).
% 40.25/5.51 fof(f5939,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_y),v_L)|~spl0_7),
% 40.25/5.51 inference(resolution,[status(thm)],[f5327,f3812])).
% 40.25/5.51 fof(f6027,plain,(
% 40.25/5.51 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_94),v_L)|sk0_94=sk0_93|~spl0_11|~spl0_4),
% 40.25/5.51 inference(resolution,[status(thm)],[f3076,f4722])).
% 40.25/5.51 fof(f6028,plain,(
% 40.25/5.51 spl0_7|spl0_1|~spl0_11|~spl0_4),
% 40.25/5.51 inference(split_clause,[status(thm)],[f6027,f2263,f2241,f2279,f2252])).
% 40.25/5.51 fof(f6100,plain,(
% 40.25/5.51 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|~pd0_8(X0,v_y,X1)|spl0_40)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4716,f3596])).
% 40.25/5.51 fof(f6101,plain,(
% 40.25/5.51 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|v_y=X0|spl0_40)),
% 40.25/5.51 inference(resolution,[status(thm)],[f4716,f3173])).
% 40.25/5.51 fof(f6177,plain,(
% 40.25/5.51 spl0_172 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,X1),v_L)|X1=sk0_93|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f6180,plain,(
% 40.25/5.51 ![X0,X1]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,X1),v_L)|X1=sk0_93|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|v_y=sk0_93|spl0_11)),
% 40.25/5.51 inference(resolution,[status(thm)],[f3170,f2281])).
% 40.25/5.51 fof(f6181,plain,(
% 40.25/5.51 spl0_172|spl0_8|spl0_11),
% 40.25/5.51 inference(split_clause,[status(thm)],[f6180,f6177,f2267,f2279])).
% 40.25/5.51 fof(f6182,plain,(
% 40.25/5.51 spl0_173 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)|X1=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f6183,plain,(
% 40.25/5.51 ![X0,X1]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)|X1=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~spl0_173)),
% 40.25/5.51 inference(component_clause,[status(thm)],[f6182])).
% 40.25/5.51 fof(f6185,plain,(
% 40.25/5.51 ![X0,X1]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)|X1=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|v_y=sk0_91|spl0_40)),
% 40.25/5.51 inference(resolution,[status(thm)],[f3170,f2696])).
% 40.25/5.51 fof(f6186,plain,(
% 40.25/5.51 spl0_173|spl0_39|spl0_40),
% 40.25/5.51 inference(split_clause,[status(thm)],[f6185,f6182,f2691,f2694])).
% 40.25/5.51 fof(f6353,plain,(
% 40.25/5.51 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_y,X0),sk0_91),v_L)|~pd0_7(v_y,X0)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_y),v_L)|spl0_40)),
% 40.25/5.51 inference(resolution,[status(thm)],[f6100,f2232])).
% 40.25/5.51 fof(f6354,plain,(
% 40.25/5.51 spl0_151|spl0_51|spl0_40),
% 40.25/5.51 inference(split_clause,[status(thm)],[f6353,f5574,f2931,f2694])).
% 40.25/5.51 fof(f6440,plain,(
% 40.25/5.51 ![X0,X1,X2]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X1),v_L)|X1=sk0_91|c_member(X2,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)|~spl0_173)),
% 40.25/5.51 inference(resolution,[status(thm)],[f6183,f2806])).
% 40.25/5.51 fof(f6650,plain,(
% 40.25/5.51 spl0_182 <=> c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_94),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f6653,plain,(
% 40.25/5.51 spl0_183 <=> sk0_94=sk0_91),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f6654,plain,(
% 40.25/5.51 sk0_94=sk0_91|~spl0_183),
% 40.25/5.51 inference(component_clause,[status(thm)],[f6653])).
% 40.25/5.51 fof(f6656,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_94),v_L)|sk0_94=sk0_91|~spl0_7|~spl0_173)),
% 40.25/5.51 inference(resolution,[status(thm)],[f5939,f6440])).
% 40.25/5.51 fof(f6657,plain,(
% 40.25/5.51 spl0_182|spl0_183|~spl0_7|~spl0_173),
% 40.25/5.51 inference(split_clause,[status(thm)],[f6656,f6650,f6653,f2263,f6182])).
% 40.25/5.51 fof(f6658,plain,(
% 40.25/5.51 spl0_184 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_91),v_L)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f6660,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_91),v_L)|spl0_184),
% 40.25/5.51 inference(component_clause,[status(thm)],[f6658])).
% 40.25/5.51 fof(f6661,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_91),v_L)|v_y=sk0_94|~spl0_7|spl0_40),
% 40.25/5.51 inference(resolution,[status(thm)],[f5939,f6101])).
% 40.25/5.51 fof(f6662,plain,(
% 40.25/5.51 ~spl0_184|spl0_3|~spl0_7|spl0_40),
% 40.25/5.51 inference(split_clause,[status(thm)],[f6661,f6658,f2248,f2263,f2694])).
% 40.25/5.51 fof(f6718,plain,(
% 40.25/5.51 spl0_186 <=> ~pd0_8(sk0_94,X0,sk0_91)),
% 40.25/5.51 introduced(split_symbol_definition)).
% 40.25/5.51 fof(f6721,plain,(
% 40.25/5.51 ![X0]: (sk0_91=sk0_94|~pd0_8(sk0_94,X0,sk0_91)|spl0_184)),
% 40.25/5.51 inference(resolution,[status(thm)],[f6660,f3172])).
% 40.25/5.51 fof(f6722,plain,(
% 40.25/5.51 spl0_183|spl0_186|spl0_184),
% 40.25/5.51 inference(split_clause,[status(thm)],[f6721,f6653,f6718,f6658])).
% 40.25/5.51 fof(f6724,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_94),v_L)|sk0_94=sk0_91|spl0_184)),
% 40.25/5.51 inference(resolution,[status(thm)],[f6660,f3173])).
% 40.25/5.51 fof(f6725,plain,(
% 40.25/5.51 spl0_182|spl0_183|spl0_184),
% 40.25/5.51 inference(split_clause,[status(thm)],[f6724,f6650,f6653,f6658])).
% 40.25/5.51 fof(f6729,plain,(
% 40.25/5.51 ![X0]: (c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_91),v_L)|~spl0_183|~spl0_7)),
% 40.25/5.51 inference(backward_demodulation,[status(thm)],[f6654,f5327])).
% 40.25/5.51 fof(f6730,plain,(
% 40.25/5.51 spl0_68|~spl0_183|~spl0_7),
% 40.25/5.51 inference(split_clause,[status(thm)],[f6729,f3364,f6653,f2263])).
% 40.25/5.51 fof(f6777,plain,(
% 40.25/5.51 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_x,sk0_91),sk0_91),v_L)|~spl0_25|~spl0_84|spl0_40),
% 40.25/5.54 inference(resolution,[status(thm)],[f4586,f4716])).
% 40.25/5.54 fof(f6778,plain,(
% 40.25/5.54 $false|~spl0_66|~spl0_25|~spl0_84|spl0_40),
% 40.25/5.54 inference(forward_subsumption_resolution,[status(thm)],[f6777,f4641])).
% 40.25/5.54 fof(f6779,plain,(
% 40.25/5.54 ~spl0_66|~spl0_25|~spl0_84|spl0_40),
% 40.25/5.54 inference(contradiction_clause,[status(thm)],[f6778])).
% 40.25/5.54 fof(f6780,plain,(
% 40.25/5.54 $false),
% 40.25/5.54 inference(sat_refutation,[status(thm)],[f2244,f2251,f2258,f2262,f2266,f2270,f2274,f2278,f2282,f2419,f2421,f2425,f2438,f2459,f2488,f2498,f2501,f2525,f2549,f2558,f2585,f2591,f2608,f2652,f2654,f2663,f2665,f2701,f2703,f2719,f2762,f2770,f2786,f2858,f2887,f2952,f3000,f3160,f3165,f3273,f3340,f3376,f3505,f3534,f3566,f3571,f3583,f3630,f3694,f3700,f3705,f3754,f3815,f3832,f3834,f3836,f3882,f3887,f3896,f3910,f3968,f3976,f3979,f3981,f4100,f4109,f4125,f4149,f4240,f4299,f4374,f4417,f4426,f4532,f4583,f4674,f4780,f4786,f4812,f4818,f4873,f4967,f4979,f4983,f4984,f4986,f5092,f5102,f5104,f5135,f5149,f5155,f5169,f5175,f5177,f5184,f5189,f5272,f5352,f5355,f5377,f5383,f5396,f5402,f5405,f5435,f5537,f5610,f5634,f5639,f5650,f5653,f5729,f5751,f5932,f6028,f6181,f6186,f6354,f6657,f6662,f6722,f6725,f6730,f6779])).
% 40.25/5.54 % SZS output end CNFRefutation for theBenchmark.p
% 40.25/5.55 % Elapsed time: 5.246081 seconds
% 40.25/5.55 % CPU time: 40.551054 seconds
% 40.25/5.55 % Memory used: 264.113 MB
%------------------------------------------------------------------------------