TSTP Solution File: SCT117+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SCT117+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:38:19 EDT 2024
% Result : Theorem 16.65s 2.53s
% Output : CNFRefutation 16.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SCT117+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:30:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.40 % Drodi V3.6.0
% 16.65/2.53 % Refutation found
% 16.65/2.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.65/2.53 % SZS output start CNFRefutation for theBenchmark
% 16.65/2.53 fof(f5,axiom,(
% 16.65/2.53 (! [V_ya_2,V_xa_2,V_R_2,T_b,T_a] :( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_xa_2),V_ya_2))<=> c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2),V_R_2) ) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f7,axiom,(
% 16.65/2.53 (! [V_r_2,T_a] :( c_Nitpick_Orefl_H(T_a,V_r_2)<=> (! [B_x] : c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2) )) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f11,axiom,(
% 16.65/2.53 (! [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)) ) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f16,axiom,(
% 16.65/2.53 (! [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) ) ) ) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f46,axiom,(
% 16.65/2.53 (! [V_r_2,V_b_2,V_a_2,T_b,T_a] :( c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)=> c_member(T_b,V_b_2,c_Relation_ORange(T_a,T_b,V_r_2)) ) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f56,axiom,(
% 16.65/2.53 (! [V_r_2,T_b,V_a_2,T_a] :( c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))<=> (? [B_y] : c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_a_2),V_r_2) )) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f71,axiom,(
% 16.65/2.53 (! [V_r_2,T_b,V_b_2,T_a] :( c_member(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2))=> ~ (! [B_x] : ~ c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_b_2),V_r_2) )) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f76,axiom,(
% 16.65/2.53 (! [V_r_2,V_b_2,V_a_2,T_b,T_a] :( c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)=> c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2)) ) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f87,axiom,(
% 16.65/2.53 (! [V_r_2,T_b,V_a_2,T_a] :( c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))<=> (? [B_y] : c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2) )) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f88,axiom,(
% 16.65/2.53 (! [V_r_2,T_b,V_a_2,T_a] :( c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))=> ~ (! [B_y] : ~ c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2) )) )),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f526,hypothesis,(
% 16.65/2.53 v_x != v_y ),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f527,hypothesis,(
% 16.65/2.53 ( (! [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) ) ) )) ),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f528,conjecture,(
% 16.65/2.53 ( (! [B_x,B_y] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_y& B_y != v_y )=> (! [B_z] :( ( ( B_y = v_x& B_z = v_y )=> ( B_x = v_x| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L) ) )& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) )& ( ( B_z = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L) )=> ( B_x = v_x| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L) ) ) ) ))& ( ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)& B_x != v_y )=> (! [B_z] :( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) ) ))& ( ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L)& B_y != v_y )=> (! [B_z] :( ( B_y = v_x=> B_z != v_y )& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L) )& ( B_z = v_y=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L) ) ) )) ))& (! [B_x,B_y] :( B_x != B_y=> ( ( B_x = v_x& B_y = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_y& B_y != v_y )| ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)& B_x != v_y )| ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L)& B_y != v_y )| ( B_y = v_x& B_x = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)& B_y != v_y& B_x != v_y )| ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)& B_y != v_y )| ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_x),v_L)& B_x != v_y ) ) ) )) ),
% 16.65/2.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.65/2.53 fof(f529,negated_conjecture,(
% 16.65/2.53 ~(( (! [B_x,B_y] :( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_y& B_y != v_y )=> (! [B_z] :( ( ( B_y = v_x& B_z = v_y )=> ( B_x = v_x| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L) ) )& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) )& ( ( B_z = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L) )=> ( B_x = v_x| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L) ) ) ) ))& ( ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)& B_x != v_y )=> (! [B_z] :( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L) ) ))& ( ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L)& B_y != v_y )=> (! [B_z] :( ( B_y = v_x=> B_z != v_y )& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)& B_z != v_y )=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L) )& ( B_z = v_y=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L) ) ) )) ))& (! [B_x,B_y] :( B_x != B_y=> ( ( B_x = v_x& B_y = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)& B_x != v_y& B_y != v_y )| ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)& B_x != v_y )| ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L)& B_y != v_y )| ( B_y = v_x& B_x = v_y )| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)& B_y != v_y& B_x != v_y )| ( B_x = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)& B_y != v_y )| ( B_y = v_y& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_x),v_L)& B_x != v_y ) ) ) )) )),
% 16.65/2.53 inference(negated_conjecture,[status(cth)],[f528])).
% 16.65/2.53 fof(f559,plain,(
% 16.65/2.53 ![V_ya_2,V_xa_2,V_R_2,T_b,T_a]: ((~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_xa_2),V_ya_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2),V_R_2))&(hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_xa_2),V_ya_2))|~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2),V_R_2)))),
% 16.65/2.53 inference(NNF_transformation,[status(esa)],[f5])).
% 16.65/2.53 fof(f560,plain,(
% 16.65/2.53 (![V_ya_2,V_xa_2,V_R_2,T_b,T_a]: (~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_xa_2),V_ya_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2),V_R_2)))&(![V_ya_2,V_xa_2,V_R_2,T_b,T_a]: (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_xa_2),V_ya_2))|~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2),V_R_2)))),
% 16.65/2.53 inference(miniscoping,[status(esa)],[f559])).
% 16.65/2.53 fof(f562,plain,(
% 16.65/2.53 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(X0,X1,X2),X3),X4))|~c_member(tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X3,X4),X2))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f560])).
% 16.65/2.53 fof(f566,plain,(
% 16.65/2.53 ![V_r_2,T_a]: ((~c_Nitpick_Orefl_H(T_a,V_r_2)|(![B_x]: c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2)))&(c_Nitpick_Orefl_H(T_a,V_r_2)|(?[B_x]: ~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))))),
% 16.65/2.53 inference(NNF_transformation,[status(esa)],[f7])).
% 16.65/2.53 fof(f567,plain,(
% 16.65/2.53 (![V_r_2,T_a]: (~c_Nitpick_Orefl_H(T_a,V_r_2)|(![B_x]: c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))))&(![V_r_2,T_a]: (c_Nitpick_Orefl_H(T_a,V_r_2)|(?[B_x]: ~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))))),
% 16.65/2.53 inference(miniscoping,[status(esa)],[f566])).
% 16.65/2.53 fof(f568,plain,(
% 16.65/2.53 (![V_r_2,T_a]: (~c_Nitpick_Orefl_H(T_a,V_r_2)|(![B_x]: c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))))&(![V_r_2,T_a]: (c_Nitpick_Orefl_H(T_a,V_r_2)|~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,sk0_1(T_a,V_r_2),sk0_1(T_a,V_r_2)),V_r_2)))),
% 16.65/2.53 inference(skolemization,[status(esa)],[f567])).
% 16.65/2.53 fof(f569,plain,(
% 16.65/2.53 ![X0,X1,X2]: (~c_Nitpick_Orefl_H(X0,X1)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X2,X2),X1))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f568])).
% 16.65/2.53 fof(f570,plain,(
% 16.65/2.53 ![X0,X1]: (c_Nitpick_Orefl_H(X0,X1)|~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sk0_1(X0,X1),sk0_1(X0,X1)),X1))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f568])).
% 16.65/2.53 fof(f585,plain,(
% 16.65/2.53 ![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))))),
% 16.65/2.53 inference(NNF_transformation,[status(esa)],[f11])).
% 16.65/2.53 fof(f586,plain,(
% 16.65/2.53 (![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))))),
% 16.65/2.53 inference(miniscoping,[status(esa)],[f585])).
% 16.65/2.53 fof(f587,plain,(
% 16.65/2.53 ![X0,X1,X2]: (~c_member(X0,X1,X2)|hBOOL(hAPP(X2,X1)))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f586])).
% 16.65/2.53 fof(f588,plain,(
% 16.65/2.53 ![X0,X1,X2]: (c_member(X0,X1,X2)|~hBOOL(hAPP(X2,X1)))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f586])).
% 16.65/2.53 fof(f603,plain,(
% 16.65/2.53 ![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)))))),
% 16.65/2.53 inference(NNF_transformation,[status(esa)],[f16])).
% 16.65/2.53 fof(f604,plain,(
% 16.65/2.53 (![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)))))),
% 16.65/2.53 inference(miniscoping,[status(esa)],[f603])).
% 16.65/2.53 fof(f606,plain,(
% 16.65/2.53 ![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))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f604])).
% 16.65/2.53 fof(f607,plain,(
% 16.65/2.53 ![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))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f604])).
% 16.65/2.53 fof(f747,plain,(
% 16.65/2.53 ![V_r_2,V_b_2,V_a_2,T_b,T_a]: (~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)|c_member(T_b,V_b_2,c_Relation_ORange(T_a,T_b,V_r_2)))),
% 16.65/2.53 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 16.65/2.53 fof(f748,plain,(
% 16.65/2.53 ![V_r_2,V_b_2,T_b,T_a]: ((![V_a_2]: ~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2))|c_member(T_b,V_b_2,c_Relation_ORange(T_a,T_b,V_r_2)))),
% 16.65/2.53 inference(miniscoping,[status(esa)],[f747])).
% 16.65/2.53 fof(f749,plain,(
% 16.65/2.53 ![X0,X1,X2,X3,X4]: (~c_member(tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X2,X3),X4)|c_member(X1,X3,c_Relation_ORange(X0,X1,X4)))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f748])).
% 16.65/2.53 fof(f773,plain,(
% 16.65/2.53 ![V_r_2,T_b,V_a_2,T_a]: ((~c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))|(?[B_y]: c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_a_2),V_r_2)))&(c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))|(![B_y]: ~c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_a_2),V_r_2))))),
% 16.65/2.53 inference(NNF_transformation,[status(esa)],[f56])).
% 16.65/2.53 fof(f774,plain,(
% 16.65/2.53 (![V_r_2,T_b,V_a_2,T_a]: (~c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))|(?[B_y]: c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_a_2),V_r_2))))&(![V_r_2,T_b,V_a_2,T_a]: (c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))|(![B_y]: ~c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_a_2),V_r_2))))),
% 16.65/2.53 inference(miniscoping,[status(esa)],[f773])).
% 16.65/2.53 fof(f775,plain,(
% 16.65/2.53 (![V_r_2,T_b,V_a_2,T_a]: (~c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,sk0_16(T_a,V_a_2,T_b,V_r_2),V_a_2),V_r_2)))&(![V_r_2,T_b,V_a_2,T_a]: (c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))|(![B_y]: ~c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_a_2),V_r_2))))),
% 16.65/2.53 inference(skolemization,[status(esa)],[f774])).
% 16.65/2.53 fof(f776,plain,(
% 16.65/2.53 ![X0,X1,X2,X3]: (~c_member(X0,X1,c_Relation_ORange(X2,X0,X3))|c_member(tc_prod(X2,X0),c_Product__Type_OPair(X2,X0,sk0_16(X0,X1,X2,X3),X1),X3))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f775])).
% 16.65/2.53 fof(f814,plain,(
% 16.65/2.53 ![V_r_2,T_b,V_b_2,T_a]: (~c_member(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2))|(?[B_x]: c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_b_2),V_r_2)))),
% 16.65/2.53 inference(pre_NNF_transformation,[status(esa)],[f71])).
% 16.65/2.53 fof(f815,plain,(
% 16.65/2.53 ![V_r_2,T_b,V_b_2,T_a]: (~c_member(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,sk0_18(T_a,V_b_2,T_b,V_r_2),V_b_2),V_r_2))),
% 16.65/2.53 inference(skolemization,[status(esa)],[f814])).
% 16.65/2.53 fof(f816,plain,(
% 16.65/2.53 ![X0,X1,X2,X3]: (~c_member(X0,X1,c_Relation_ORange(X2,X0,X3))|c_member(tc_prod(X2,X0),c_Product__Type_OPair(X2,X0,sk0_18(X0,X1,X2,X3),X1),X3))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f815])).
% 16.65/2.53 fof(f834,plain,(
% 16.65/2.53 ![V_r_2,V_b_2,V_a_2,T_b,T_a]: (~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)|c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2)))),
% 16.65/2.53 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 16.65/2.53 fof(f835,plain,(
% 16.65/2.53 ![V_r_2,V_a_2,T_b,T_a]: ((![V_b_2]: ~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2))|c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2)))),
% 16.65/2.53 inference(miniscoping,[status(esa)],[f834])).
% 16.65/2.53 fof(f836,plain,(
% 16.65/2.53 ![X0,X1,X2,X3,X4]: (~c_member(tc_prod(X0,X1),c_Product__Type_OPair(X0,X1,X2,X3),X4)|c_member(X0,X2,c_Relation_ODomain(X0,X1,X4)))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f835])).
% 16.65/2.53 fof(f871,plain,(
% 16.65/2.53 ![V_r_2,T_b,V_a_2,T_a]: ((~c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|(?[B_y]: c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2)))&(c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|(![B_y]: ~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2))))),
% 16.65/2.53 inference(NNF_transformation,[status(esa)],[f87])).
% 16.65/2.53 fof(f872,plain,(
% 16.65/2.53 (![V_r_2,T_b,V_a_2,T_a]: (~c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|(?[B_y]: c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2))))&(![V_r_2,T_b,V_a_2,T_a]: (c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|(![B_y]: ~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2))))),
% 16.65/2.53 inference(miniscoping,[status(esa)],[f871])).
% 16.65/2.53 fof(f873,plain,(
% 16.65/2.53 (![V_r_2,T_b,V_a_2,T_a]: (~c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,sk0_36(T_a,V_a_2,T_b,V_r_2)),V_r_2)))&(![V_r_2,T_b,V_a_2,T_a]: (c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|(![B_y]: ~c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2))))),
% 16.65/2.53 inference(skolemization,[status(esa)],[f872])).
% 16.65/2.53 fof(f874,plain,(
% 16.65/2.53 ![X0,X1,X2,X3]: (~c_member(X0,X1,c_Relation_ODomain(X0,X2,X3))|c_member(tc_prod(X0,X2),c_Product__Type_OPair(X0,X2,X1,sk0_36(X0,X1,X2,X3)),X3))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f873])).
% 16.65/2.53 fof(f876,plain,(
% 16.65/2.53 ![V_r_2,T_b,V_a_2,T_a]: (~c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|(?[B_y]: c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2)))),
% 16.65/2.53 inference(pre_NNF_transformation,[status(esa)],[f88])).
% 16.65/2.53 fof(f877,plain,(
% 16.65/2.53 ![V_r_2,T_b,V_a_2,T_a]: (~c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,sk0_37(T_a,V_a_2,T_b,V_r_2)),V_r_2))),
% 16.65/2.53 inference(skolemization,[status(esa)],[f876])).
% 16.65/2.53 fof(f878,plain,(
% 16.65/2.53 ![X0,X1,X2,X3]: (~c_member(X0,X1,c_Relation_ODomain(X0,X2,X3))|c_member(tc_prod(X0,X2),c_Product__Type_OPair(X0,X2,X1,sk0_37(X0,X1,X2,X3)),X3))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f877])).
% 16.65/2.53 fof(f2150,plain,(
% 16.65/2.53 ~v_x=v_y),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f526])).
% 16.65/2.53 fof(f2151,plain,(
% 16.65/2.53 ((![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))))),
% 16.65/2.53 inference(pre_NNF_transformation,[status(esa)],[f527])).
% 16.65/2.53 fof(f2152,plain,(
% 16.65/2.53 ![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))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2151])).
% 16.65/2.53 fof(f2153,plain,(
% 16.65/2.53 ![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))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2151])).
% 16.65/2.53 fof(f2154,plain,(
% 16.65/2.53 ![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))),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2151])).
% 16.65/2.53 fof(f2155,plain,(
% 16.65/2.53 ((?[B_x,B_y]: (((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)))|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))|(?[B_x,B_y]: (~B_x=B_y&((((((((~B_x=v_x|~B_y=v_y)&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|B_x=v_y)|B_y=v_y))&((~B_y=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))|B_x=v_y))&((~B_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))|B_y=v_y))&(~B_y=v_x|~B_x=v_y))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)|B_y=v_y)|B_x=v_y))&((~B_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))|B_y=v_y))&((~B_y=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_x),v_L))|B_x=v_y)))))),
% 16.65/2.53 inference(pre_NNF_transformation,[status(esa)],[f529])).
% 16.65/2.53 fof(f2156,plain,(
% 16.65/2.53 ![B_x,B_y]: (pd0_4(B_y,B_x)=>(((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)))|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))),
% 16.65/2.53 introduced(predicate_definition,[f2155])).
% 16.65/2.53 fof(f2157,plain,(
% 16.65/2.53 (?[B_x,B_y]: pd0_4(B_y,B_x))|(?[B_x,B_y]: (~B_x=B_y&((((((((~B_x=v_x|~B_y=v_y)&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)|B_x=v_y)|B_y=v_y))&((~B_y=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))|B_x=v_y))&((~B_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))|B_y=v_y))&(~B_y=v_x|~B_x=v_y))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_x),v_L)|B_y=v_y)|B_x=v_y))&((~B_x=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))|B_y=v_y))&((~B_y=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_x),v_L))|B_x=v_y))))),
% 16.65/2.53 inference(formula_renaming,[status(thm)],[f2155,f2156])).
% 16.65/2.53 fof(f2158,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|(~sk0_93=sk0_94&((((((((~sk0_93=v_x|~sk0_94=v_y)&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|sk0_93=v_y)|sk0_94=v_y))&((~sk0_94=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L))|sk0_93=v_y))&((~sk0_93=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_94),v_L))|sk0_94=v_y))&(~sk0_94=v_x|~sk0_93=v_y))&((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|sk0_94=v_y)|sk0_93=v_y))&((~sk0_93=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L))|sk0_94=v_y))&((~sk0_94=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L))|sk0_93=v_y)))),
% 16.65/2.53 inference(skolemization,[status(esa)],[f2157])).
% 16.65/2.53 fof(f2159,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|~sk0_93=sk0_94),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2158])).
% 16.65/2.53 fof(f2160,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|~sk0_93=v_x|~sk0_94=v_y),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2158])).
% 16.65/2.53 fof(f2161,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|sk0_93=v_y|sk0_94=v_y),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2158])).
% 16.65/2.53 fof(f2162,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|~sk0_94=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|sk0_93=v_y),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2158])).
% 16.65/2.53 fof(f2163,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|~sk0_93=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_94),v_L)|sk0_94=v_y),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2158])).
% 16.65/2.53 fof(f2164,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|~sk0_94=v_x|~sk0_93=v_y),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2158])).
% 16.65/2.53 fof(f2165,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|sk0_94=v_y|sk0_93=v_y),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2158])).
% 16.65/2.53 fof(f2166,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|~sk0_93=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L)|sk0_94=v_y),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2158])).
% 16.65/2.53 fof(f2167,plain,(
% 16.65/2.53 pd0_4(sk0_92,sk0_91)|~sk0_94=v_y|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|sk0_93=v_y),
% 16.65/2.53 inference(cnf_transformation,[status(esa)],[f2158])).
% 16.65/2.53 fof(f2193,plain,(
% 16.65/2.53 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))))|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)))|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))),
% 16.65/2.53 inference(pre_NNF_transformation,[status(esa)],[f2156])).
% 16.65/2.53 fof(f2194,plain,(
% 16.65/2.53 ![B_x,B_y]: (pd0_5(B_y,B_x)=>((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))))),
% 16.65/2.53 introduced(predicate_definition,[f2193])).
% 16.65/2.53 fof(f2195,plain,(
% 16.65/2.53 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)))|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))),
% 16.65/2.54 inference(formula_renaming,[status(thm)],[f2193,f2194])).
% 16.65/2.54 fof(f2196,plain,(
% 16.65/2.54 ![B_y,B_z]: (pd0_6(B_z,B_y)=>((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L))))),
% 16.65/2.54 introduced(predicate_definition,[f2195])).
% 16.65/2.54 fof(f2197,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(?[B_z]: (pd0_6(B_z,B_y)|(B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L)))))))),
% 16.65/2.54 inference(formula_renaming,[status(thm)],[f2195,f2196])).
% 16.65/2.54 fof(f2198,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&((?[B_z]: pd0_6(B_z,B_y))|((?[B_z]: B_z=v_y)&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))))))),
% 16.65/2.54 inference(miniscoping,[status(esa)],[f2197])).
% 16.65/2.54 fof(f2199,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_4(B_y,B_x)|(pd0_5(B_y,B_x)|(((B_x=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_y),v_L))&~B_y=v_y)&(pd0_6(sk0_97(B_y,B_x),B_y)|(sk0_98(B_y,B_x)=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))))))),
% 16.65/2.54 inference(skolemization,[status(esa)],[f2198])).
% 16.65/2.54 fof(f2200,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|X1=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2199])).
% 16.65/2.54 fof(f2201,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2199])).
% 16.65/2.54 fof(f2202,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|~X0=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2199])).
% 16.65/2.54 fof(f2204,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_4(X0,X1)|pd0_5(X0,X1)|pd0_6(sk0_97(X0,X1),X0)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2199])).
% 16.65/2.54 fof(f2205,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_5(B_y,B_x)|((((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))))),
% 16.65/2.54 inference(pre_NNF_transformation,[status(esa)],[f2194])).
% 16.65/2.54 fof(f2206,plain,(
% 16.65/2.54 ![B_x,B_y]: (pd0_7(B_y,B_x)=>(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))))))),
% 16.65/2.54 introduced(predicate_definition,[f2205])).
% 16.65/2.54 fof(f2207,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_5(B_y,B_x)|(pd0_7(B_y,B_x)|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&(?[B_z]: ((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))))),
% 16.65/2.54 inference(formula_renaming,[status(thm)],[f2205,f2206])).
% 16.65/2.54 fof(f2208,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_5(B_y,B_x)|(pd0_7(B_y,B_x)|(((B_y=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))&~B_x=v_y)&((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(B_y,B_x)),v_L)&~sk0_99(B_y,B_x)=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,sk0_99(B_y,B_x)),v_L)))))),
% 16.65/2.54 inference(skolemization,[status(esa)],[f2207])).
% 16.65/2.54 fof(f2209,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|X0=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2208])).
% 16.65/2.54 fof(f2210,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2208])).
% 16.65/2.54 fof(f2211,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|~X1=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2208])).
% 16.65/2.54 fof(f2212,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(X0,X1)),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2208])).
% 16.65/2.54 fof(f2213,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|~sk0_99(X0,X1)=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2208])).
% 16.65/2.54 fof(f2214,plain,(
% 16.65/2.54 ![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))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2208])).
% 16.65/2.54 fof(f2215,plain,(
% 16.65/2.54 ![B_y,B_z]: (~pd0_6(B_z,B_y)|((B_y=v_x&B_z=v_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L))))),
% 16.65/2.54 inference(pre_NNF_transformation,[status(esa)],[f2196])).
% 16.65/2.54 fof(f2216,plain,(
% 16.65/2.54 ![B_y,B_z]: (pd0_8(B_z,B_y)=>(B_y=v_x&B_z=v_y))),
% 16.65/2.54 introduced(predicate_definition,[f2215])).
% 16.65/2.54 fof(f2217,plain,(
% 16.65/2.54 ![B_y,B_z]: (~pd0_6(B_z,B_y)|(pd0_8(B_z,B_y)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,B_z),v_L))))),
% 16.65/2.54 inference(formula_renaming,[status(thm)],[f2215,f2216])).
% 16.65/2.54 fof(f2218,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_6(X0,X1)|pd0_8(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2217])).
% 16.65/2.54 fof(f2219,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_6(X0,X1)|pd0_8(X0,X1)|~X0=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2217])).
% 16.65/2.54 fof(f2220,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_6(X0,X1)|pd0_8(X0,X1)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2217])).
% 16.65/2.54 fof(f2221,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: ((((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L)))|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))))))),
% 16.65/2.54 inference(pre_NNF_transformation,[status(esa)],[f2206])).
% 16.65/2.54 fof(f2222,plain,(
% 16.65/2.54 ![B_x,B_y,B_z]: (pd0_9(B_z,B_y,B_x)=>(((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))),
% 16.65/2.54 introduced(predicate_definition,[f2221])).
% 16.65/2.54 fof(f2223,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(?[B_z]: (pd0_9(B_z,B_y,B_x)|((B_z=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))))))),
% 16.65/2.54 inference(formula_renaming,[status(thm)],[f2221,f2222])).
% 16.65/2.54 fof(f2224,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&((?[B_z]: pd0_9(B_z,B_y,B_x))|(((?[B_z]: B_z=v_y)&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))),
% 16.65/2.54 inference(miniscoping,[status(esa)],[f2223])).
% 16.65/2.54 fof(f2225,plain,(
% 16.65/2.54 ![B_x,B_y]: (~pd0_7(B_y,B_x)|(((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_y),v_L)&~B_x=v_y)&~B_y=v_y)&(pd0_9(sk0_100(B_y,B_x),B_y,B_x)|((sk0_101(B_y,B_x)=v_y&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,v_x),v_L))&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))))),
% 16.65/2.54 inference(skolemization,[status(esa)],[f2224])).
% 16.65/2.54 fof(f2226,plain,(
% 16.65/2.54 ![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))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2225])).
% 16.65/2.54 fof(f2227,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_7(X0,X1)|~X1=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2225])).
% 16.65/2.54 fof(f2228,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_7(X0,X1)|~X0=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2225])).
% 16.65/2.54 fof(f2229,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_7(X0,X1)|pd0_9(sk0_100(X0,X1),X0,X1)|sk0_101(X0,X1)=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2225])).
% 16.65/2.54 fof(f2230,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_7(X0,X1)|pd0_9(sk0_100(X0,X1),X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2225])).
% 16.65/2.54 fof(f2231,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_7(X0,X1)|pd0_9(sk0_100(X0,X1),X0,X1)|~X1=v_x)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2225])).
% 16.65/2.54 fof(f2232,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_7(X0,X1)|pd0_9(sk0_100(X0,X1),X0,X1)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2225])).
% 16.65/2.54 fof(f2233,plain,(
% 16.65/2.54 ![B_y,B_z]: (~pd0_8(B_z,B_y)|(B_y=v_x&B_z=v_y))),
% 16.65/2.54 inference(pre_NNF_transformation,[status(esa)],[f2216])).
% 16.65/2.54 fof(f2234,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_8(X0,X1)|X1=v_x)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2233])).
% 16.65/2.54 fof(f2236,plain,(
% 16.65/2.54 ![B_x,B_y,B_z]: (~pd0_9(B_z,B_y,B_x)|(((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L)))|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))),
% 16.65/2.54 inference(pre_NNF_transformation,[status(esa)],[f2222])).
% 16.65/2.54 fof(f2237,plain,(
% 16.65/2.54 ![B_x,B_y,B_z]: (pd0_10(B_z,B_y,B_x)=>((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))),
% 16.65/2.54 introduced(predicate_definition,[f2236])).
% 16.65/2.54 fof(f2238,plain,(
% 16.65/2.54 ![B_x,B_y,B_z]: (~pd0_9(B_z,B_y,B_x)|(pd0_10(B_z,B_y,B_x)|((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_y,B_z),v_L)&~B_z=v_y)&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,B_z),v_L))))),
% 16.65/2.54 inference(formula_renaming,[status(thm)],[f2236,f2237])).
% 16.65/2.54 fof(f2239,plain,(
% 16.65/2.54 ![X0,X1,X2]: (~pd0_9(X0,X1,X2)|pd0_10(X0,X1,X2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2238])).
% 16.65/2.54 fof(f2240,plain,(
% 16.65/2.54 ![X0,X1,X2]: (~pd0_9(X0,X1,X2)|pd0_10(X0,X1,X2)|~X0=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2238])).
% 16.65/2.54 fof(f2241,plain,(
% 16.65/2.54 ![X0,X1,X2]: (~pd0_9(X0,X1,X2)|pd0_10(X0,X1,X2)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X0),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2238])).
% 16.65/2.54 fof(f2242,plain,(
% 16.65/2.54 ![B_x,B_y,B_z]: (~pd0_10(B_z,B_y,B_x)|((B_y=v_x&B_z=v_y)&(~B_x=v_x&~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_x,v_x),v_L))))),
% 16.65/2.54 inference(pre_NNF_transformation,[status(esa)],[f2237])).
% 16.65/2.54 fof(f2243,plain,(
% 16.65/2.54 ![X0,X1,X2]: (~pd0_10(X0,X1,X2)|X1=v_x)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2242])).
% 16.65/2.54 fof(f2244,plain,(
% 16.65/2.54 ![X0,X1,X2]: (~pd0_10(X0,X1,X2)|X0=v_y)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2242])).
% 16.65/2.54 fof(f2245,plain,(
% 16.65/2.54 ![X0,X1,X2]: (~pd0_10(X0,X1,X2)|~X2=v_x)),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2242])).
% 16.65/2.54 fof(f2246,plain,(
% 16.65/2.54 ![X0,X1,X2]: (~pd0_10(X0,X1,X2)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L))),
% 16.65/2.54 inference(cnf_transformation,[status(esa)],[f2242])).
% 16.65/2.54 fof(f2247,plain,(
% 16.65/2.54 spl0_0 <=> pd0_4(sk0_92,sk0_91)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2248,plain,(
% 16.65/2.54 pd0_4(sk0_92,sk0_91)|~spl0_0),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2247])).
% 16.65/2.54 fof(f2250,plain,(
% 16.65/2.54 spl0_1 <=> sk0_93=sk0_94),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2251,plain,(
% 16.65/2.54 sk0_93=sk0_94|~spl0_1),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2250])).
% 16.65/2.54 fof(f2252,plain,(
% 16.65/2.54 ~sk0_93=sk0_94|spl0_1),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2250])).
% 16.65/2.54 fof(f2253,plain,(
% 16.65/2.54 spl0_0|~spl0_1),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2159,f2247,f2250])).
% 16.65/2.54 fof(f2254,plain,(
% 16.65/2.54 spl0_2 <=> sk0_93=v_x),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2255,plain,(
% 16.65/2.54 sk0_93=v_x|~spl0_2),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2254])).
% 16.65/2.54 fof(f2257,plain,(
% 16.65/2.54 spl0_3 <=> sk0_94=v_y),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2258,plain,(
% 16.65/2.54 sk0_94=v_y|~spl0_3),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2257])).
% 16.65/2.54 fof(f2260,plain,(
% 16.65/2.54 spl0_0|~spl0_2|~spl0_3),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2160,f2247,f2254,f2257])).
% 16.65/2.54 fof(f2261,plain,(
% 16.65/2.54 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)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2262,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2261])).
% 16.65/2.54 fof(f2263,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_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),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2261])).
% 16.65/2.54 fof(f2264,plain,(
% 16.65/2.54 spl0_5 <=> sk0_93=v_y),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2265,plain,(
% 16.65/2.54 sk0_93=v_y|~spl0_5),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2264])).
% 16.65/2.54 fof(f2266,plain,(
% 16.65/2.54 ~sk0_93=v_y|spl0_5),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2264])).
% 16.65/2.54 fof(f2267,plain,(
% 16.65/2.54 spl0_0|~spl0_4|spl0_5|spl0_3),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2161,f2247,f2261,f2264,f2257])).
% 16.65/2.54 fof(f2268,plain,(
% 16.65/2.54 spl0_6 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2269,plain,(
% 16.65/2.54 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|~spl0_6),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2268])).
% 16.65/2.54 fof(f2270,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|spl0_6),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2268])).
% 16.65/2.54 fof(f2271,plain,(
% 16.65/2.54 spl0_0|~spl0_3|~spl0_6|spl0_5),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2162,f2247,f2257,f2268,f2264])).
% 16.65/2.54 fof(f2272,plain,(
% 16.65/2.54 spl0_7 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_94),v_L)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2273,plain,(
% 16.65/2.54 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_94),v_L)|~spl0_7),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2272])).
% 16.65/2.54 fof(f2274,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_94),v_L)|spl0_7),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2272])).
% 16.65/2.54 fof(f2275,plain,(
% 16.65/2.54 spl0_0|~spl0_5|~spl0_7|spl0_3),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2163,f2247,f2264,f2272,f2257])).
% 16.65/2.54 fof(f2276,plain,(
% 16.65/2.54 spl0_8 <=> sk0_94=v_x),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2277,plain,(
% 16.65/2.54 sk0_94=v_x|~spl0_8),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2276])).
% 16.65/2.54 fof(f2278,plain,(
% 16.65/2.54 ~sk0_94=v_x|spl0_8),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2276])).
% 16.65/2.54 fof(f2279,plain,(
% 16.65/2.54 spl0_0|~spl0_8|~spl0_5),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2164,f2247,f2276,f2264])).
% 16.65/2.54 fof(f2280,plain,(
% 16.65/2.54 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)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2281,plain,(
% 16.65/2.54 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|~spl0_9),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2280])).
% 16.65/2.54 fof(f2283,plain,(
% 16.65/2.54 spl0_0|~spl0_9|spl0_3|spl0_5),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2165,f2247,f2280,f2257,f2264])).
% 16.65/2.54 fof(f2284,plain,(
% 16.65/2.54 spl0_10 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2286,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L)|spl0_10),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2284])).
% 16.65/2.54 fof(f2287,plain,(
% 16.65/2.54 spl0_0|~spl0_5|~spl0_10|spl0_3),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2166,f2247,f2264,f2284,f2257])).
% 16.65/2.54 fof(f2288,plain,(
% 16.65/2.54 spl0_11 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2289,plain,(
% 16.65/2.54 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|~spl0_11),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2288])).
% 16.65/2.54 fof(f2291,plain,(
% 16.65/2.54 spl0_0|~spl0_3|~spl0_11|spl0_5),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2167,f2247,f2257,f2288,f2264])).
% 16.65/2.54 fof(f2385,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_5(X0,X1)|~X1=v_y)),
% 16.65/2.54 inference(backward_subsumption_resolution,[status(thm)],[f2211,f2227])).
% 16.65/2.54 fof(f2386,plain,(
% 16.65/2.54 ![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_5(X1,X0)|X1=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2226,f2209])).
% 16.65/2.54 fof(f2387,plain,(
% 16.65/2.54 ![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)|X1=v_y|~pd0_4(X1,X0)|X0=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2386,f2200])).
% 16.65/2.54 fof(f2388,plain,(
% 16.65/2.54 ![X0,X1]: (pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~pd0_4(X0,X1)|~X0=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2210,f2202])).
% 16.65/2.54 fof(f2389,plain,(
% 16.65/2.54 ![X0,X1]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~pd0_4(X1,X0)|~X1=v_y)),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2388,f2228])).
% 16.65/2.54 fof(f2390,plain,(
% 16.65/2.54 ![X0,X1]: (pd0_7(X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)|~pd0_4(X0,X1)|X1=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2210,f2200])).
% 16.65/2.54 fof(f2391,plain,(
% 16.65/2.54 ![X0,X1]: (pd0_10(sk0_100(X0,X1),X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_100(X0,X1)),v_L)|~pd0_7(X0,X1)|sk0_101(X0,X1)=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2239,f2229])).
% 16.65/2.54 fof(f2394,plain,(
% 16.65/2.54 ![X0,X1]: (~X0=v_y|~pd0_4(X1,X0)|~X1=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2385,f2202])).
% 16.65/2.54 fof(f2395,plain,(
% 16.65/2.54 ![X0]: (~pd0_5(X0,v_x)|pd0_7(X0,v_x)|~pd0_5(X0,v_x)|pd0_7(X0,v_x))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2214,f2212])).
% 16.65/2.54 fof(f2396,plain,(
% 16.65/2.54 ![X0]: (~pd0_5(X0,v_x)|pd0_7(X0,v_x))),
% 16.65/2.54 inference(duplicate_literals_removal,[status(esa)],[f2395])).
% 16.65/2.54 fof(f2397,plain,(
% 16.65/2.54 ![X0,X1]: (pd0_9(sk0_100(X0,X1),X0,X1)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~pd0_5(X0,X1)|X0=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2230,f2209])).
% 16.65/2.54 fof(f2400,plain,(
% 16.65/2.54 spl0_12 <=> pd0_7(X0,v_x)|~pd0_4(X0,v_x)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2403,plain,(
% 16.65/2.54 spl0_13 <=> v_x=v_y),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2404,plain,(
% 16.65/2.54 v_x=v_y|~spl0_13),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2403])).
% 16.65/2.54 fof(f2406,plain,(
% 16.65/2.54 ![X0]: (pd0_7(X0,v_x)|~pd0_4(X0,v_x)|v_x=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2396,f2200])).
% 16.65/2.54 fof(f2407,plain,(
% 16.65/2.54 spl0_12|spl0_13),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2406,f2400,f2403])).
% 16.65/2.54 fof(f2409,plain,(
% 16.65/2.54 ![X0,X1]: (pd0_10(sk0_100(X0,X1),X0,X1)|~sk0_100(X0,X1)=v_y|~pd0_7(X0,X1)|sk0_101(X0,X1)=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2240,f2229])).
% 16.65/2.54 fof(f2411,plain,(
% 16.65/2.54 ![X0,X1]: (pd0_9(sk0_100(X0,X1),X0,X1)|~X1=v_x|~pd0_5(X0,X1)|X0=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2231,f2209])).
% 16.65/2.54 fof(f2412,plain,(
% 16.65/2.54 ![X0,X1]: (~X0=v_x|~pd0_5(X1,X0)|X1=v_y|pd0_10(sk0_100(X1,X0),X1,X0)|~sk0_100(X1,X0)=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2411,f2240])).
% 16.65/2.54 fof(f2413,plain,(
% 16.65/2.54 ![X0,X1]: (~X0=v_x|~pd0_5(X1,X0)|X1=v_y|~sk0_100(X1,X0)=v_y)),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2412,f2245])).
% 16.65/2.54 fof(f2414,plain,(
% 16.65/2.54 ![X0,X1]: (~X0=v_x|~pd0_5(X1,X0)|X1=v_y|pd0_10(sk0_100(X1,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,X1,sk0_100(X1,X0)),v_L))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2411,f2239])).
% 16.65/2.54 fof(f2415,plain,(
% 16.65/2.54 ![X0,X1]: (~X0=v_x|~pd0_5(X1,X0)|X1=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sk0_100(X1,X0)),v_L))),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2414,f2245])).
% 16.65/2.54 fof(f2416,plain,(
% 16.65/2.54 spl0_14 <=> ~X0=v_x|~pd0_5(v_x,X0)|~pd0_6(sk0_100(v_x,X0),X1)|pd0_8(sk0_100(v_x,X0),X1)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2419,plain,(
% 16.65/2.54 ![X0,X1]: (~X0=v_x|~pd0_5(v_x,X0)|v_x=v_y|~pd0_6(sk0_100(v_x,X0),X1)|pd0_8(sk0_100(v_x,X0),X1))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2415,f2220])).
% 16.65/2.54 fof(f2420,plain,(
% 16.65/2.54 spl0_14|spl0_13),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2419,f2416,f2403])).
% 16.65/2.54 fof(f2421,plain,(
% 16.65/2.54 $false|~spl0_13),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2404,f2150])).
% 16.65/2.54 fof(f2422,plain,(
% 16.65/2.54 ~spl0_13),
% 16.65/2.54 inference(contradiction_clause,[status(thm)],[f2421])).
% 16.65/2.54 fof(f2423,plain,(
% 16.65/2.54 ![X0,X1]: (~X0=v_x|X1=v_y|~sk0_100(X1,X0)=v_y|~pd0_4(X1,X0)|X0=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2413,f2200])).
% 16.65/2.54 fof(f2427,plain,(
% 16.65/2.54 sk0_93=sk0_94|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|spl0_4),
% 16.65/2.54 inference(resolution,[status(thm)],[f2154,f2263])).
% 16.65/2.54 fof(f2428,plain,(
% 16.65/2.54 spl0_1|spl0_9|spl0_4),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2427,f2250,f2280,f2261])).
% 16.65/2.54 fof(f2429,plain,(
% 16.65/2.54 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_x,sk0_93),v_L)|spl0_6),
% 16.65/2.54 inference(resolution,[status(thm)],[f2154,f2270])).
% 16.65/2.54 fof(f2430,plain,(
% 16.65/2.54 spl0_2|spl0_11|spl0_6),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2429,f2254,f2288,f2268])).
% 16.65/2.54 fof(f2433,plain,(
% 16.65/2.54 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_x,sk0_94),v_L)|spl0_10),
% 16.65/2.54 inference(resolution,[status(thm)],[f2154,f2286])).
% 16.65/2.54 fof(f2434,plain,(
% 16.65/2.54 spl0_8|spl0_7|spl0_10),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2433,f2276,f2272,f2284])).
% 16.65/2.54 fof(f2439,plain,(
% 16.65/2.54 spl0_15 <=> v_x=v_x),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2441,plain,(
% 16.65/2.54 ~v_x=v_x|spl0_15),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2439])).
% 16.65/2.54 fof(f2447,plain,(
% 16.65/2.54 ![X0,X1]: (v_x=X0|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~pd0_6(X0,X1)|pd0_8(X0,X1))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2154,f2220])).
% 16.65/2.54 fof(f2448,plain,(
% 16.65/2.54 ![X0,X1]: (X0=sk0_99(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,sk0_99(X1,X0),X0),v_L)|~pd0_5(X1,X0)|pd0_7(X1,X0))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2154,f2214])).
% 16.65/2.54 fof(f2454,plain,(
% 16.65/2.54 ![X0,X1]: (X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~pd0_7(X1,X0)|pd0_9(sk0_100(X1,X0),X1,X0))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2154,f2232])).
% 16.65/2.54 fof(f2455,plain,(
% 16.65/2.54 ![X0,X1]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~pd0_7(X1,X0)|pd0_9(sk0_100(X1,X0),X1,X0))),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2454,f2231])).
% 16.65/2.54 fof(f2461,plain,(
% 16.65/2.54 ![X0,X1,X2]: (X0=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~pd0_10(X1,X2,X0))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2154,f2246])).
% 16.65/2.54 fof(f2462,plain,(
% 16.65/2.54 ![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,v_x,X0),v_L)|~pd0_10(X1,X2,X0))),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2461,f2245])).
% 16.65/2.54 fof(f2463,plain,(
% 16.65/2.54 ![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,X1,X0),v_L)|~pd0_9(X1,X2,X0)|pd0_10(X1,X2,X0))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2154,f2241])).
% 16.65/2.54 fof(f2489,plain,(
% 16.65/2.54 spl0_19 <=> sk0_91=v_x),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2490,plain,(
% 16.65/2.54 sk0_91=v_x|~spl0_19),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2489])).
% 16.65/2.54 fof(f2492,plain,(
% 16.65/2.54 spl0_20 <=> sk0_92=v_y),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2493,plain,(
% 16.65/2.54 sk0_92=v_y|~spl0_20),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2492])).
% 16.65/2.54 fof(f2495,plain,(
% 16.65/2.54 spl0_21 <=> sk0_100(sk0_92,sk0_91)=v_y),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2497,plain,(
% 16.65/2.54 ~sk0_100(sk0_92,sk0_91)=v_y|spl0_21),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2495])).
% 16.65/2.54 fof(f2498,plain,(
% 16.65/2.54 spl0_22 <=> sk0_91=v_y),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2499,plain,(
% 16.65/2.54 sk0_91=v_y|~spl0_22),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2498])).
% 16.65/2.54 fof(f2501,plain,(
% 16.65/2.54 ~sk0_91=v_x|sk0_92=v_y|~sk0_100(sk0_92,sk0_91)=v_y|sk0_91=v_y|~spl0_0),
% 16.65/2.54 inference(resolution,[status(thm)],[f2248,f2423])).
% 16.65/2.54 fof(f2502,plain,(
% 16.65/2.54 ~spl0_19|spl0_20|~spl0_21|spl0_22|~spl0_0),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2501,f2489,f2492,f2495,f2498,f2247])).
% 16.65/2.54 fof(f2503,plain,(
% 16.65/2.54 spl0_23 <=> pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2504,plain,(
% 16.65/2.54 pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_23),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2503])).
% 16.65/2.54 fof(f2506,plain,(
% 16.65/2.54 spl0_24 <=> c_member(tc_prod(tc_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)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2507,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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_24),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2506])).
% 16.65/2.54 fof(f2514,plain,(
% 16.65/2.54 ~sk0_91=v_y|~sk0_92=v_y|~spl0_0),
% 16.65/2.54 inference(resolution,[status(thm)],[f2248,f2394])).
% 16.65/2.54 fof(f2515,plain,(
% 16.65/2.54 ~spl0_22|~spl0_20|~spl0_0),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2514,f2498,f2492,f2247])).
% 16.65/2.54 fof(f2516,plain,(
% 16.65/2.54 spl0_26 <=> pd0_7(sk0_92,sk0_91)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2517,plain,(
% 16.65/2.54 pd0_7(sk0_92,sk0_91)|~spl0_26),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2516])).
% 16.65/2.54 fof(f2518,plain,(
% 16.65/2.54 ~pd0_7(sk0_92,sk0_91)|spl0_26),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2516])).
% 16.65/2.54 fof(f2519,plain,(
% 16.65/2.54 spl0_27 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2520,plain,(
% 16.65/2.54 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_27),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2519])).
% 16.65/2.54 fof(f2521,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|spl0_27),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2519])).
% 16.65/2.54 fof(f2522,plain,(
% 16.65/2.54 pd0_7(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|sk0_91=v_y|~spl0_0),
% 16.65/2.54 inference(resolution,[status(thm)],[f2248,f2390])).
% 16.65/2.54 fof(f2523,plain,(
% 16.65/2.54 spl0_26|spl0_27|spl0_22|~spl0_0),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2522,f2516,f2519,f2498,f2247])).
% 16.65/2.54 fof(f2524,plain,(
% 16.65/2.54 spl0_28 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2525,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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_28),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2524])).
% 16.65/2.54 fof(f2526,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_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_28),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2524])).
% 16.65/2.54 fof(f2527,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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)|sk0_92=v_y|sk0_91=v_y|~spl0_0),
% 16.65/2.54 inference(resolution,[status(thm)],[f2248,f2387])).
% 16.65/2.54 fof(f2528,plain,(
% 16.65/2.54 spl0_28|spl0_20|spl0_22|~spl0_0),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2527,f2524,f2492,f2498,f2247])).
% 16.65/2.54 fof(f2529,plain,(
% 16.65/2.54 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~sk0_92=v_y|~spl0_0),
% 16.65/2.54 inference(resolution,[status(thm)],[f2248,f2389])).
% 16.65/2.54 fof(f2530,plain,(
% 16.65/2.54 spl0_27|~spl0_20|~spl0_0),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2529,f2519,f2492,f2247])).
% 16.65/2.54 fof(f2531,plain,(
% 16.65/2.54 spl0_29 <=> pd0_5(sk0_92,sk0_91)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2532,plain,(
% 16.65/2.54 pd0_5(sk0_92,sk0_91)|~spl0_29),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2531])).
% 16.65/2.54 fof(f2533,plain,(
% 16.65/2.54 ~pd0_5(sk0_92,sk0_91)|spl0_29),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2531])).
% 16.65/2.54 fof(f2534,plain,(
% 16.65/2.54 spl0_30 <=> pd0_6(sk0_97(sk0_92,sk0_91),sk0_92)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2535,plain,(
% 16.65/2.54 pd0_6(sk0_97(sk0_92,sk0_91),sk0_92)|~spl0_30),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2534])).
% 16.65/2.54 fof(f2537,plain,(
% 16.65/2.54 spl0_31 <=> c_member(tc_prod(tc_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)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2538,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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_31),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2537])).
% 16.65/2.54 fof(f2539,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_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_31),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2537])).
% 16.65/2.54 fof(f2540,plain,(
% 16.65/2.54 pd0_5(sk0_92,sk0_91)|pd0_6(sk0_97(sk0_92,sk0_91),sk0_92)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_0),
% 16.65/2.54 inference(resolution,[status(thm)],[f2248,f2204])).
% 16.65/2.54 fof(f2541,plain,(
% 16.65/2.54 spl0_29|spl0_30|spl0_31|~spl0_0),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2540,f2531,f2534,f2537,f2247])).
% 16.65/2.54 fof(f2547,plain,(
% 16.65/2.54 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,sk0_92),v_L)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2548,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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_33),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2547])).
% 16.65/2.54 fof(f2549,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_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_33),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2547])).
% 16.65/2.54 fof(f2550,plain,(
% 16.65/2.54 pd0_5(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_0),
% 16.65/2.54 inference(resolution,[status(thm)],[f2248,f2201])).
% 16.65/2.54 fof(f2551,plain,(
% 16.65/2.54 spl0_29|spl0_33|~spl0_0),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2550,f2531,f2547,f2247])).
% 16.65/2.54 fof(f2552,plain,(
% 16.65/2.54 spl0_34 <=> pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2553,plain,(
% 16.65/2.54 pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_34),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2552])).
% 16.65/2.54 fof(f2555,plain,(
% 16.65/2.54 pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|sk0_92=v_y|~spl0_29),
% 16.65/2.54 inference(resolution,[status(thm)],[f2532,f2397])).
% 16.65/2.54 fof(f2556,plain,(
% 16.65/2.54 spl0_34|spl0_31|spl0_20|~spl0_29),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2555,f2552,f2537,f2492,f2531])).
% 16.65/2.54 fof(f2557,plain,(
% 16.65/2.54 ~sk0_91=v_x|sk0_92=v_y|~sk0_100(sk0_92,sk0_91)=v_y|~spl0_29),
% 16.65/2.54 inference(resolution,[status(thm)],[f2532,f2413])).
% 16.65/2.54 fof(f2558,plain,(
% 16.65/2.54 ~spl0_19|spl0_20|~spl0_21|~spl0_29),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2557,f2489,f2492,f2495,f2531])).
% 16.65/2.54 fof(f2561,plain,(
% 16.65/2.54 pd0_7(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_29),
% 16.65/2.54 inference(resolution,[status(thm)],[f2532,f2210])).
% 16.65/2.54 fof(f2562,plain,(
% 16.65/2.54 spl0_26|spl0_27|~spl0_29),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2561,f2516,f2519,f2531])).
% 16.65/2.54 fof(f2563,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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)|sk0_92=v_y|~spl0_29),
% 16.65/2.54 inference(resolution,[status(thm)],[f2532,f2386])).
% 16.65/2.54 fof(f2564,plain,(
% 16.65/2.54 spl0_28|spl0_20|~spl0_29),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2563,f2524,f2492,f2531])).
% 16.65/2.54 fof(f2576,plain,(
% 16.65/2.54 pd0_6(sk0_97(sk0_92,v_y),sk0_92)|~spl0_22|~spl0_30),
% 16.65/2.54 inference(backward_demodulation,[status(thm)],[f2499,f2535])).
% 16.65/2.54 fof(f2577,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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_22|~spl0_27),
% 16.65/2.54 inference(backward_demodulation,[status(thm)],[f2499,f2520])).
% 16.65/2.54 fof(f2580,plain,(
% 16.65/2.54 spl0_35 <=> pd0_8(sk0_97(sk0_92,v_y),sk0_92)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2581,plain,(
% 16.65/2.54 pd0_8(sk0_97(sk0_92,v_y),sk0_92)|~spl0_35),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2580])).
% 16.65/2.54 fof(f2583,plain,(
% 16.65/2.54 spl0_36 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,v_y)),v_L)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2584,plain,(
% 16.65/2.54 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,v_y)),v_L)|~spl0_36),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2583])).
% 16.65/2.54 fof(f2586,plain,(
% 16.65/2.54 pd0_8(sk0_97(sk0_92,v_y),sk0_92)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,v_y)),v_L)|~spl0_22|~spl0_30),
% 16.65/2.54 inference(resolution,[status(thm)],[f2576,f2218])).
% 16.65/2.54 fof(f2587,plain,(
% 16.65/2.54 spl0_35|spl0_36|~spl0_22|~spl0_30),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2586,f2580,f2583,f2498,f2534])).
% 16.65/2.54 fof(f2593,plain,(
% 16.65/2.54 ~sk0_91=v_y|~spl0_29),
% 16.65/2.54 inference(resolution,[status(thm)],[f2532,f2385])).
% 16.65/2.54 fof(f2623,plain,(
% 16.65/2.54 pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~sk0_91=v_x|~spl0_26),
% 16.65/2.54 inference(resolution,[status(thm)],[f2517,f2231])).
% 16.65/2.54 fof(f2624,plain,(
% 16.65/2.54 spl0_34|~spl0_19|~spl0_26),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2623,f2552,f2489,f2516])).
% 16.65/2.54 fof(f2627,plain,(
% 16.65/2.54 pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_26),
% 16.65/2.54 inference(resolution,[status(thm)],[f2517,f2230])).
% 16.65/2.54 fof(f2628,plain,(
% 16.65/2.54 spl0_34|spl0_31|~spl0_26),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2627,f2552,f2537,f2516])).
% 16.65/2.54 fof(f2632,plain,(
% 16.65/2.54 $false|~spl0_29|~spl0_22),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2499,f2593])).
% 16.65/2.54 fof(f2633,plain,(
% 16.65/2.54 ~spl0_29|~spl0_22),
% 16.65/2.54 inference(contradiction_clause,[status(thm)],[f2632])).
% 16.65/2.54 fof(f2667,plain,(
% 16.65/2.54 ~sk0_92=v_y|~spl0_26),
% 16.65/2.54 inference(resolution,[status(thm)],[f2517,f2228])).
% 16.65/2.54 fof(f2668,plain,(
% 16.65/2.54 ~spl0_20|~spl0_26),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2667,f2492,f2516])).
% 16.65/2.54 fof(f2669,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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_20|~spl0_31),
% 16.65/2.54 inference(backward_demodulation,[status(thm)],[f2493,f2538])).
% 16.65/2.54 fof(f2678,plain,(
% 16.65/2.54 pd0_4(v_y,sk0_91)|~spl0_20|~spl0_0),
% 16.65/2.54 inference(backward_demodulation,[status(thm)],[f2493,f2248])).
% 16.65/2.54 fof(f2694,plain,(
% 16.65/2.54 ~pd0_7(v_y,sk0_91)|~spl0_20|spl0_26),
% 16.65/2.54 inference(forward_demodulation,[status(thm)],[f2493,f2518])).
% 16.65/2.54 fof(f2697,plain,(
% 16.65/2.54 ![X0,X1]: (~pd0_10(X0,X1,sk0_91)|~spl0_27)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2520,f2246])).
% 16.65/2.54 fof(f2706,plain,(
% 16.65/2.54 ![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,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)|~pd0_6(X1,X2)|pd0_8(X1,X2))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2152,f2220])).
% 16.65/2.54 fof(f2707,plain,(
% 16.65/2.54 ![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,sk0_99(X2,X0)),v_L)|~pd0_5(X2,X0)|pd0_7(X2,X0))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2152,f2214])).
% 16.65/2.54 fof(f2708,plain,(
% 16.65/2.54 ![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,v_x),v_L)|~pd0_7(X2,X0)|pd0_9(sk0_100(X2,X0),X2,X0))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2152,f2232])).
% 16.65/2.54 fof(f2710,plain,(
% 16.65/2.54 ![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))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2152,f2153])).
% 16.65/2.54 fof(f2711,plain,(
% 16.65/2.54 ![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)|~pd0_9(X2,X3,X0)|pd0_10(X2,X3,X0))),
% 16.65/2.54 inference(resolution,[status(thm)],[f2152,f2241])).
% 16.65/2.54 fof(f2712,plain,(
% 16.65/2.54 spl0_38 <=> v_y=v_y),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2714,plain,(
% 16.65/2.54 ~v_y=v_y|spl0_38),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2712])).
% 16.65/2.54 fof(f2720,plain,(
% 16.65/2.54 spl0_40 <=> pd0_10(sk0_100(v_y,sk0_91),v_y,sk0_91)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2721,plain,(
% 16.65/2.54 pd0_10(sk0_100(v_y,sk0_91),v_y,sk0_91)|~spl0_40),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2720])).
% 16.65/2.54 fof(f2733,plain,(
% 16.65/2.54 spl0_43 <=> pd0_7(v_y,sk0_91)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2734,plain,(
% 16.65/2.54 pd0_7(v_y,sk0_91)|~spl0_43),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2733])).
% 16.65/2.54 fof(f2738,plain,(
% 16.65/2.54 spl0_44 <=> c_member(tc_prod(tc_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)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2739,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2738])).
% 16.65/2.54 fof(f2740,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_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),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2738])).
% 16.65/2.54 fof(f2745,plain,(
% 16.65/2.54 spl0_45 <=> pd0_5(v_y,sk0_91)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2746,plain,(
% 16.65/2.54 pd0_5(v_y,sk0_91)|~spl0_45),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2745])).
% 16.65/2.54 fof(f2747,plain,(
% 16.65/2.54 ~pd0_5(v_y,sk0_91)|spl0_45),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2745])).
% 16.65/2.54 fof(f2751,plain,(
% 16.65/2.54 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,v_y,v_x),v_L)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2752,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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_47),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2751])).
% 16.65/2.54 fof(f2753,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_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_47),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2751])).
% 16.65/2.54 fof(f2761,plain,(
% 16.65/2.54 spl0_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)),
% 16.65/2.54 introduced(split_symbol_definition)).
% 16.65/2.54 fof(f2762,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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_49),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2761])).
% 16.65/2.54 fof(f2763,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_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_49),
% 16.65/2.54 inference(component_clause,[status(thm)],[f2761])).
% 16.65/2.54 fof(f2764,plain,(
% 16.65/2.54 pd0_5(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_20|~spl0_0),
% 16.65/2.54 inference(resolution,[status(thm)],[f2678,f2201])).
% 16.65/2.54 fof(f2765,plain,(
% 16.65/2.54 spl0_45|spl0_49|~spl0_20|~spl0_0),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2764,f2745,f2761,f2492,f2247])).
% 16.65/2.54 fof(f2766,plain,(
% 16.65/2.54 ~c_member(tc_prod(tc_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_22|spl0_27),
% 16.65/2.54 inference(forward_demodulation,[status(thm)],[f2499,f2521])).
% 16.65/2.54 fof(f2767,plain,(
% 16.65/2.54 $false|~spl0_47|~spl0_22|spl0_27),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2766,f2752])).
% 16.65/2.54 fof(f2768,plain,(
% 16.65/2.54 ~spl0_47|~spl0_22|spl0_27),
% 16.65/2.54 inference(contradiction_clause,[status(thm)],[f2767])).
% 16.65/2.54 fof(f2769,plain,(
% 16.65/2.54 ~v_y=sk0_94|~spl0_5|spl0_1),
% 16.65/2.54 inference(forward_demodulation,[status(thm)],[f2265,f2252])).
% 16.65/2.54 fof(f2770,plain,(
% 16.65/2.54 ~v_y=v_y|~spl0_3|~spl0_5|spl0_1),
% 16.65/2.54 inference(forward_demodulation,[status(thm)],[f2258,f2769])).
% 16.65/2.54 fof(f2771,plain,(
% 16.65/2.54 $false|~spl0_3|~spl0_5|spl0_1),
% 16.65/2.54 inference(trivial_equality_resolution,[status(esa)],[f2770])).
% 16.65/2.54 fof(f2772,plain,(
% 16.65/2.54 ~spl0_3|~spl0_5|spl0_1),
% 16.65/2.54 inference(contradiction_clause,[status(thm)],[f2771])).
% 16.65/2.54 fof(f2773,plain,(
% 16.65/2.54 $false|~spl0_27|~spl0_40),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2721,f2697])).
% 16.65/2.54 fof(f2774,plain,(
% 16.65/2.54 ~spl0_27|~spl0_40),
% 16.65/2.54 inference(contradiction_clause,[status(thm)],[f2773])).
% 16.65/2.54 fof(f2795,plain,(
% 16.65/2.54 ~pd0_4(sk0_92,sk0_91)|~sk0_92=v_y|spl0_29),
% 16.65/2.54 inference(resolution,[status(thm)],[f2533,f2202])).
% 16.65/2.54 fof(f2796,plain,(
% 16.65/2.54 ~spl0_0|~spl0_20|spl0_29),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2795,f2247,f2492,f2531])).
% 16.65/2.54 fof(f2797,plain,(
% 16.65/2.54 ~pd0_4(sk0_92,sk0_91)|sk0_91=v_y|spl0_29),
% 16.65/2.54 inference(resolution,[status(thm)],[f2533,f2200])).
% 16.65/2.54 fof(f2798,plain,(
% 16.65/2.54 ~spl0_0|spl0_22|spl0_29),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2797,f2247,f2498,f2531])).
% 16.65/2.54 fof(f2809,plain,(
% 16.65/2.54 c_member(tc_prod(tc_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_22|~spl0_44),
% 16.65/2.54 inference(backward_demodulation,[status(thm)],[f2499,f2739])).
% 16.65/2.54 fof(f2810,plain,(
% 16.65/2.54 $false|~spl0_22|~spl0_44),
% 16.65/2.54 inference(forward_subsumption_resolution,[status(thm)],[f2809,f2153])).
% 16.65/2.54 fof(f2811,plain,(
% 16.65/2.54 ~spl0_22|~spl0_44),
% 16.65/2.54 inference(contradiction_clause,[status(thm)],[f2810])).
% 16.65/2.54 fof(f2856,plain,(
% 16.65/2.54 v_x=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_22|spl0_27),
% 16.65/2.54 inference(resolution,[status(thm)],[f2766,f2154])).
% 16.65/2.54 fof(f2857,plain,(
% 16.65/2.54 spl0_13|spl0_49|~spl0_22|spl0_27),
% 16.65/2.54 inference(split_clause,[status(thm)],[f2856,f2403,f2761,f2498,f2519])).
% 16.65/2.54 fof(f2955,plain,(
% 16.65/2.54 ![X0,X1]: (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),X0),X1))|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,X0),v_L))),
% 16.65/2.54 inference(resolution,[status(thm)],[f562,f2154])).
% 16.65/2.54 fof(f2971,plain,(
% 16.65/2.54 ![X0,X1]: (X0=sk0_99(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,sk0_99(X1,X0),X0),v_L)|pd0_7(X1,X0)|~pd0_4(X1,X0)|~X1=v_y)),
% 16.65/2.54 inference(resolution,[status(thm)],[f2448,f2202])).
% 16.65/2.55 fof(f2972,plain,(
% 16.65/2.55 ![X0,X1]: (X0=sk0_99(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,sk0_99(X1,X0),X0),v_L)|~pd0_4(X1,X0)|~X1=v_y)),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f2971,f2228])).
% 16.65/2.55 fof(f2973,plain,(
% 16.65/2.55 ![X0,X1]: (X0=sk0_99(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,sk0_99(X1,X0),X0),v_L)|pd0_7(X1,X0)|~pd0_4(X1,X0)|X0=v_y)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2448,f2200])).
% 16.65/2.55 fof(f2981,plain,(
% 16.65/2.55 spl0_63 <=> sk0_91=sk0_99(sk0_92,sk0_91)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f2982,plain,(
% 16.65/2.55 sk0_91=sk0_99(sk0_92,sk0_91)|~spl0_63),
% 16.65/2.55 inference(component_clause,[status(thm)],[f2981])).
% 16.65/2.55 fof(f2983,plain,(
% 16.65/2.55 ~sk0_91=sk0_99(sk0_92,sk0_91)|spl0_63),
% 16.65/2.55 inference(component_clause,[status(thm)],[f2981])).
% 16.65/2.55 fof(f2984,plain,(
% 16.65/2.55 spl0_64 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),sk0_91),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f2985,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(sk0_92,sk0_91),sk0_91),v_L)|~spl0_64),
% 16.65/2.55 inference(component_clause,[status(thm)],[f2984])).
% 16.65/2.55 fof(f3007,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_91),v_L)|~spl0_63|~spl0_64),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2982,f2985])).
% 16.65/2.55 fof(f3008,plain,(
% 16.65/2.55 $false|~spl0_63|~spl0_64),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3007,f2153])).
% 16.65/2.55 fof(f3009,plain,(
% 16.65/2.55 ~spl0_63|~spl0_64),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3008])).
% 16.65/2.55 fof(f3028,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|spl0_27)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2521,f2152])).
% 16.65/2.55 fof(f3029,plain,(
% 16.65/2.55 spl0_65 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3030,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_65),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3029])).
% 16.65/2.55 fof(f3032,plain,(
% 16.65/2.55 v_x=sk0_91|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|spl0_27),
% 16.65/2.55 inference(resolution,[status(thm)],[f2521,f2154])).
% 16.65/2.55 fof(f3033,plain,(
% 16.65/2.55 spl0_19|spl0_65|spl0_27),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3032,f2489,f3029,f2519])).
% 16.65/2.55 fof(f3045,plain,(
% 16.65/2.55 pd0_4(sk0_92,v_x)|~spl0_19|~spl0_0),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2490,f2248])).
% 16.65/2.55 fof(f3046,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_19|~spl0_65),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2490,f3030])).
% 16.65/2.55 fof(f3047,plain,(
% 16.65/2.55 $false|~spl0_19|~spl0_65),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3046,f2153])).
% 16.65/2.55 fof(f3048,plain,(
% 16.65/2.55 ~spl0_19|~spl0_65),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3047])).
% 16.65/2.55 fof(f3049,plain,(
% 16.65/2.55 $false|~spl0_20|spl0_26|~spl0_43),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f2734,f2694])).
% 16.65/2.55 fof(f3050,plain,(
% 16.65/2.55 ~spl0_20|spl0_26|~spl0_43),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3049])).
% 16.65/2.55 fof(f3051,plain,(
% 16.65/2.55 sk0_91=sk0_99(v_y,sk0_91)|~spl0_20|~spl0_63),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2493,f2982])).
% 16.65/2.55 fof(f3077,plain,(
% 16.65/2.55 spl0_66 <=> sk0_91=sk0_99(v_y,sk0_91)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3078,plain,(
% 16.65/2.55 sk0_91=sk0_99(v_y,sk0_91)|~spl0_66),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3077])).
% 16.65/2.55 fof(f3080,plain,(
% 16.65/2.55 spl0_67 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),sk0_91),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3083,plain,(
% 16.65/2.55 sk0_91=sk0_99(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),sk0_91),v_L)|~v_y=v_y|~spl0_20|~spl0_0),
% 16.65/2.55 inference(resolution,[status(thm)],[f2678,f2972])).
% 16.65/2.55 fof(f3084,plain,(
% 16.65/2.55 spl0_66|spl0_67|~spl0_38|~spl0_20|~spl0_0),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3083,f3077,f3080,f2712,f2492,f2247])).
% 16.65/2.55 fof(f3107,plain,(
% 16.65/2.55 ~sk0_91=sk0_99(v_y,sk0_91)|~spl0_20|spl0_63),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2493,f2983])).
% 16.65/2.55 fof(f3108,plain,(
% 16.65/2.55 ~sk0_91=sk0_91|~spl0_66|~spl0_20|spl0_63),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f3078,f3107])).
% 16.65/2.55 fof(f3109,plain,(
% 16.65/2.55 $false|~spl0_66|~spl0_20|spl0_63),
% 16.65/2.55 inference(trivial_equality_resolution,[status(esa)],[f3108])).
% 16.65/2.55 fof(f3110,plain,(
% 16.65/2.55 ~spl0_66|~spl0_20|spl0_63),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3109])).
% 16.65/2.55 fof(f3111,plain,(
% 16.65/2.55 $false|spl0_38),
% 16.65/2.55 inference(trivial_equality_resolution,[status(esa)],[f2714])).
% 16.65/2.55 fof(f3112,plain,(
% 16.65/2.55 spl0_38),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3111])).
% 16.65/2.55 fof(f3121,plain,(
% 16.65/2.55 spl0_69 <=> c_member(tc_prod(tc_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)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3128,plain,(
% 16.65/2.55 ~pd0_5(v_y,sk0_91)|pd0_7(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_20|~spl0_63),
% 16.65/2.55 inference(paramodulation,[status(thm)],[f3051,f2212])).
% 16.65/2.55 fof(f3129,plain,(
% 16.65/2.55 ~spl0_45|spl0_43|spl0_65|~spl0_20|~spl0_63),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3128,f2745,f2733,f3029,f2492,f2981])).
% 16.65/2.55 fof(f3131,plain,(
% 16.65/2.55 pd0_5(v_y,sk0_91)|~spl0_20|~spl0_29),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2493,f2532])).
% 16.65/2.55 fof(f3132,plain,(
% 16.65/2.55 spl0_45|~spl0_20|~spl0_29),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3131,f2745,f2492,f2531])).
% 16.65/2.55 fof(f3153,plain,(
% 16.65/2.55 ![X0,X1]: (X0=sk0_100(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,sk0_100(X1,X0),X0),v_L)|pd0_10(sk0_100(X1,X0),X1,X0)|~X0=v_x|~pd0_5(X1,X0)|X1=v_y)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2463,f2411])).
% 16.65/2.55 fof(f3154,plain,(
% 16.65/2.55 ![X0,X1]: (X0=sk0_100(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,sk0_100(X1,X0),X0),v_L)|~X0=v_x|~pd0_5(X1,X0)|X1=v_y)),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3153,f2245])).
% 16.65/2.55 fof(f3157,plain,(
% 16.65/2.55 sk0_91=sk0_99(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),sk0_91),v_L)|pd0_7(v_y,sk0_91)|~spl0_45),
% 16.65/2.55 inference(resolution,[status(thm)],[f2746,f2448])).
% 16.65/2.55 fof(f3158,plain,(
% 16.65/2.55 spl0_66|spl0_67|spl0_43|~spl0_45),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3157,f3077,f3080,f2733,f2745])).
% 16.65/2.55 fof(f3216,plain,(
% 16.65/2.55 spl0_78 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_99(v_y,sk0_91)),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3219,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_99(v_y,sk0_91)),v_L)|pd0_7(v_y,sk0_91)|~spl0_45)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2707,f2746])).
% 16.65/2.55 fof(f3220,plain,(
% 16.65/2.55 spl0_78|spl0_43|~spl0_45),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3219,f3216,f2733,f2745])).
% 16.65/2.55 fof(f3229,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_20|~spl0_31),
% 16.65/2.55 inference(resolution,[status(thm)],[f2710,f2669])).
% 16.65/2.55 fof(f3230,plain,(
% 16.65/2.55 $false|~spl0_49|~spl0_20|~spl0_31),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3229,f2762])).
% 16.65/2.55 fof(f3231,plain,(
% 16.65/2.55 ~spl0_49|~spl0_20|~spl0_31),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3230])).
% 16.65/2.55 fof(f3232,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_27),
% 16.65/2.55 inference(resolution,[status(thm)],[f2710,f2520])).
% 16.65/2.55 fof(f3289,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_20|spl0_31),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2493,f2539])).
% 16.65/2.55 fof(f3294,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|~spl0_27)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3232,f2152])).
% 16.65/2.55 fof(f3334,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|~spl0_1|spl0_7),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2251,f2274])).
% 16.65/2.55 fof(f3335,plain,(
% 16.65/2.55 $false|~spl0_11|~spl0_1|spl0_7),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3334,f2289])).
% 16.65/2.55 fof(f3336,plain,(
% 16.65/2.55 ~spl0_11|~spl0_1|spl0_7),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3335])).
% 16.65/2.55 fof(f3337,plain,(
% 16.65/2.55 pd0_10(sk0_100(v_y,sk0_91),sk0_92,sk0_91)|~spl0_20|~spl0_23),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2493,f2504])).
% 16.65/2.55 fof(f3338,plain,(
% 16.65/2.55 pd0_10(sk0_100(v_y,sk0_91),v_y,sk0_91)|~spl0_20|~spl0_23),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2493,f3337])).
% 16.65/2.55 fof(f3339,plain,(
% 16.65/2.55 $false|~spl0_27|~spl0_20|~spl0_23),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3338,f2697])).
% 16.65/2.55 fof(f3340,plain,(
% 16.65/2.55 ~spl0_27|~spl0_20|~spl0_23),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3339])).
% 16.65/2.55 fof(f3341,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_49),
% 16.65/2.55 inference(resolution,[status(thm)],[f2710,f2762])).
% 16.65/2.55 fof(f3342,plain,(
% 16.65/2.55 ~spl0_47|~spl0_49),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3341,f2751,f2761])).
% 16.65/2.55 fof(f3343,plain,(
% 16.65/2.55 $false|~spl0_20|spl0_31|~spl0_47),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f2752,f3289])).
% 16.65/2.55 fof(f3344,plain,(
% 16.65/2.55 ~spl0_20|spl0_31|~spl0_47),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3343])).
% 16.65/2.55 fof(f3345,plain,(
% 16.65/2.55 $false|~spl0_27|~spl0_65),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3030,f3232])).
% 16.65/2.55 fof(f3346,plain,(
% 16.65/2.55 ~spl0_27|~spl0_65),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3345])).
% 16.65/2.55 fof(f3352,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|~spl0_19|~spl0_28),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2490,f2525])).
% 16.65/2.55 fof(f3381,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_19|spl0_44),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2490,f2740])).
% 16.65/2.55 fof(f3382,plain,(
% 16.65/2.55 $false|~spl0_49|~spl0_19|spl0_44),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3381,f2762])).
% 16.65/2.55 fof(f3383,plain,(
% 16.65/2.55 ~spl0_49|~spl0_19|spl0_44),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3382])).
% 16.65/2.55 fof(f3385,plain,(
% 16.65/2.55 ~sk0_91=v_y|~spl0_26),
% 16.65/2.55 inference(resolution,[status(thm)],[f2517,f2227])).
% 16.65/2.55 fof(f3386,plain,(
% 16.65/2.55 ~spl0_22|~spl0_26),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3385,f2498,f2516])).
% 16.65/2.55 fof(f3391,plain,(
% 16.65/2.55 v_x=v_y|~spl0_2|~spl0_5),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2255,f2265])).
% 16.65/2.55 fof(f3392,plain,(
% 16.65/2.55 spl0_13|~spl0_2|~spl0_5),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3391,f2403,f2254,f2264])).
% 16.65/2.55 fof(f3444,plain,(
% 16.65/2.55 spl0_89 <=> sk0_91=sk0_100(sk0_92,sk0_91)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3445,plain,(
% 16.65/2.55 sk0_91=sk0_100(sk0_92,sk0_91)|~spl0_89),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3444])).
% 16.65/2.55 fof(f3447,plain,(
% 16.65/2.55 spl0_90 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3448,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)|~spl0_90),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3447])).
% 16.65/2.55 fof(f3450,plain,(
% 16.65/2.55 sk0_91=sk0_100(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)|~sk0_91=v_x|sk0_92=v_y|~spl0_29),
% 16.65/2.55 inference(resolution,[status(thm)],[f2532,f3154])).
% 16.65/2.55 fof(f3451,plain,(
% 16.65/2.55 spl0_89|spl0_90|~spl0_19|spl0_20|~spl0_29),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3450,f3444,f3447,f2489,f2492,f2531])).
% 16.65/2.55 fof(f3465,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_91),v_L)|~spl0_89|~spl0_90),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f3445,f3448])).
% 16.65/2.55 fof(f3466,plain,(
% 16.65/2.55 $false|~spl0_89|~spl0_90),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3465,f2153])).
% 16.65/2.55 fof(f3467,plain,(
% 16.65/2.55 ~spl0_89|~spl0_90),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3466])).
% 16.65/2.55 fof(f3468,plain,(
% 16.65/2.55 spl0_91 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3469,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~spl0_91)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3468])).
% 16.65/2.55 fof(f3471,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_26)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2517,f2708])).
% 16.65/2.55 fof(f3472,plain,(
% 16.65/2.55 spl0_91|spl0_34|~spl0_26),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3471,f3468,f2552,f2516])).
% 16.65/2.55 fof(f3473,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|pd0_9(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_26),
% 16.65/2.55 inference(resolution,[status(thm)],[f2517,f2455])).
% 16.65/2.55 fof(f3474,plain,(
% 16.65/2.55 spl0_65|spl0_34|~spl0_26),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3473,f3029,f2552,f2516])).
% 16.65/2.55 fof(f3482,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L)|~spl0_7),
% 16.65/2.55 inference(resolution,[status(thm)],[f2273,f2710])).
% 16.65/2.55 fof(f3486,plain,(
% 16.65/2.55 v_x=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|spl0_47),
% 16.65/2.55 inference(resolution,[status(thm)],[f2753,f2154])).
% 16.65/2.55 fof(f3487,plain,(
% 16.65/2.55 spl0_13|spl0_49|spl0_47),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3486,f2403,f2761,f2751])).
% 16.65/2.55 fof(f3491,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f2548,f2710])).
% 16.65/2.55 fof(f3494,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_28),
% 16.65/2.55 inference(resolution,[status(thm)],[f2525,f2710])).
% 16.65/2.55 fof(f3498,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|~spl0_4),
% 16.65/2.55 inference(resolution,[status(thm)],[f2262,f2710])).
% 16.65/2.55 fof(f3512,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|~spl0_11),
% 16.65/2.55 inference(resolution,[status(thm)],[f2289,f2710])).
% 16.65/2.55 fof(f3515,plain,(
% 16.65/2.55 ![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_94,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_x),v_L)|~spl0_7)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3482,f2152])).
% 16.65/2.55 fof(f3523,plain,(
% 16.65/2.55 ![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_x),v_L)|~spl0_33)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3491,f2152])).
% 16.65/2.55 fof(f3524,plain,(
% 16.65/2.55 spl0_92 <=> v_x=sk0_92),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3525,plain,(
% 16.65/2.55 v_x=sk0_92|~spl0_92),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3524])).
% 16.65/2.55 fof(f3531,plain,(
% 16.65/2.55 ![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_28)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3494,f2152])).
% 16.65/2.55 fof(f3532,plain,(
% 16.65/2.55 spl0_93 <=> sk0_91=sk0_92),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3539,plain,(
% 16.65/2.55 ![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_94,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_93),v_L)|~spl0_4)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3498,f2152])).
% 16.65/2.55 fof(f3544,plain,(
% 16.65/2.55 ![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_93,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_x),v_L)|~spl0_11)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3512,f2152])).
% 16.65/2.55 fof(f3558,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_92),v_L)|~spl0_24),
% 16.65/2.55 inference(resolution,[status(thm)],[f2507,f2710])).
% 16.65/2.55 fof(f3561,plain,(
% 16.65/2.55 ![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,sk0_100(X2,X0)),v_L)|pd0_10(sk0_100(X2,X0),X2,X0)|~X0=v_x|~pd0_5(X2,X0)|X2=v_y)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2711,f2411])).
% 16.65/2.55 fof(f3562,plain,(
% 16.65/2.55 ![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,sk0_100(X2,X0)),v_L)|~X0=v_x|~pd0_5(X2,X0)|X2=v_y)),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3561,f2245])).
% 16.65/2.55 fof(f3568,plain,(
% 16.65/2.55 spl0_94 <=> sk0_92=sk0_100(sk0_92,sk0_91)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3659,plain,(
% 16.65/2.55 spl0_105 <=> pd0_4(v_y,sk0_91)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3662,plain,(
% 16.65/2.55 ~pd0_4(v_y,sk0_91)|~v_y=v_y|spl0_45),
% 16.65/2.55 inference(resolution,[status(thm)],[f2747,f2202])).
% 16.65/2.55 fof(f3663,plain,(
% 16.65/2.55 ~spl0_105|~spl0_38|spl0_45),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3662,f3659,f2712,f2745])).
% 16.65/2.55 fof(f3699,plain,(
% 16.65/2.55 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,sk0_59(tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_59(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3700,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_59(tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_59(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)|~spl0_109),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3699])).
% 16.65/2.55 fof(f3707,plain,(
% 16.65/2.55 spl0_111 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_54(tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_54(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3708,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_54(tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_54(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)|~spl0_111),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3707])).
% 16.65/2.55 fof(f3712,plain,(
% 16.65/2.55 $false|~spl0_111),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3708,f2153])).
% 16.65/2.55 fof(f3713,plain,(
% 16.65/2.55 ~spl0_111),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3712])).
% 16.65/2.55 fof(f3714,plain,(
% 16.65/2.55 $false|~spl0_109),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3700,f2153])).
% 16.65/2.55 fof(f3715,plain,(
% 16.65/2.55 ~spl0_109),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3714])).
% 16.65/2.55 fof(f3789,plain,(
% 16.65/2.55 spl0_115 <=> c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3792,plain,(
% 16.65/2.55 spl0_116 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),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_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3795,plain,(
% 16.65/2.55 ![X0]: (c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L),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_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),v_L))),
% 16.65/2.55 inference(resolution,[status(thm)],[f570,f2152])).
% 16.65/2.55 fof(f3796,plain,(
% 16.65/2.55 spl0_115|spl0_116),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3795,f3789,f3792])).
% 16.65/2.55 fof(f3797,plain,(
% 16.65/2.55 spl0_117 <=> sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3800,plain,(
% 16.65/2.55 c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)=sk0_1(tc_Arrow__Order__Mirabelle_Oalt,v_L)),
% 16.65/2.55 inference(resolution,[status(thm)],[f570,f2154])).
% 16.65/2.55 fof(f3801,plain,(
% 16.65/2.55 spl0_115|spl0_117),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3800,f3789,f3797])).
% 16.65/2.55 fof(f3819,plain,(
% 16.65/2.55 ![X0,X1,X2,X3]: (c_member(X0,X1,X2)|~c_member(X3,X1,X2))),
% 16.65/2.55 inference(resolution,[status(thm)],[f588,f587])).
% 16.65/2.55 fof(f3820,plain,(
% 16.65/2.55 spl0_119 <=> ~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)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3823,plain,(
% 16.65/2.55 spl0_120 <=> c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X5,X6),X7)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3824,plain,(
% 16.65/2.55 ![X0,X1,X2,X3]: (c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|~spl0_120)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3823])).
% 16.65/2.55 fof(f3826,plain,(
% 16.65/2.55 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,X1,X2),X3)|c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X5,X6),X7))),
% 16.65/2.55 inference(resolution,[status(thm)],[f607,f606])).
% 16.65/2.55 fof(f3827,plain,(
% 16.65/2.55 spl0_119|spl0_120),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3826,f3820,f3823])).
% 16.65/2.55 fof(f3831,plain,(
% 16.65/2.55 spl0_121 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f3832,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~spl0_121)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f3831])).
% 16.65/2.55 fof(f3848,plain,(
% 16.65/2.55 ![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)|~spl0_120)),
% 16.65/2.55 inference(backward_subsumption_resolution,[status(thm)],[f2710,f3824])).
% 16.65/2.55 fof(f3849,plain,(
% 16.65/2.55 $false|~spl0_120),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3848,f3824])).
% 16.65/2.55 fof(f3850,plain,(
% 16.65/2.55 ~spl0_120),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3849])).
% 16.65/2.55 fof(f3863,plain,(
% 16.65/2.55 $false|~spl0_121|~spl0_27),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f2520,f3832])).
% 16.65/2.55 fof(f3864,plain,(
% 16.65/2.55 ~spl0_121|~spl0_27),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3863])).
% 16.65/2.55 fof(f3913,plain,(
% 16.65/2.55 ![X0,X1]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~sk0_100(X1,X0)=v_y|~pd0_7(X1,X0)|sk0_101(X1,X0)=v_y)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2462,f2409])).
% 16.65/2.55 fof(f3936,plain,(
% 16.65/2.55 ![X0,X1]: (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~sk0_100(X1,X0)=v_y|sk0_101(X1,X0)=v_y|~pd0_5(X1,X0)|X1=v_y)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3913,f2209])).
% 16.65/2.55 fof(f3961,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_92|~spl0_33),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f3525,f2548])).
% 16.65/2.55 fof(f3962,plain,(
% 16.65/2.55 $false|~spl0_92|~spl0_33),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3961,f2153])).
% 16.65/2.55 fof(f3963,plain,(
% 16.65/2.55 ~spl0_92|~spl0_33),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f3962])).
% 16.65/2.55 fof(f4048,plain,(
% 16.65/2.55 spl0_125 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_93,X0),v_x),v_L)|~X0=v_x|~pd0_5(sk0_93,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4051,plain,(
% 16.65/2.55 ![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_93,X0),v_x),v_L)|~X0=v_x|~pd0_5(sk0_93,X0)|sk0_93=v_y|~spl0_11)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3544,f2415])).
% 16.65/2.55 fof(f4052,plain,(
% 16.65/2.55 spl0_125|spl0_5|~spl0_11),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4051,f4048,f2264,f2288])).
% 16.65/2.55 fof(f4053,plain,(
% 16.65/2.55 spl0_126 <=> sk0_93=sk0_93),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4056,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|sk0_93=sk0_93|~spl0_11),
% 16.65/2.55 inference(resolution,[status(thm)],[f3544,f2154])).
% 16.65/2.55 fof(f4057,plain,(
% 16.65/2.55 ~spl0_6|spl0_126|~spl0_11),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4056,f2268,f4053,f2288])).
% 16.65/2.55 fof(f4085,plain,(
% 16.65/2.55 spl0_128 <=> ~c_member(tc_prod(tc_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_94,X0),sk0_93),v_L)|~X0=v_x|~pd0_5(sk0_94,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4088,plain,(
% 16.65/2.55 ![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_94,X0),sk0_93),v_L)|~X0=v_x|~pd0_5(sk0_94,X0)|sk0_94=v_y|~spl0_4)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3539,f2415])).
% 16.65/2.55 fof(f4089,plain,(
% 16.65/2.55 spl0_128|spl0_3|~spl0_4),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4088,f4085,f2257,f2261])).
% 16.65/2.55 fof(f4090,plain,(
% 16.65/2.55 spl0_129 <=> sk0_94=sk0_94),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4093,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,sk0_93),v_L)|sk0_94=sk0_94|~spl0_4),
% 16.65/2.55 inference(resolution,[status(thm)],[f3539,f2154])).
% 16.65/2.55 fof(f4094,plain,(
% 16.65/2.55 ~spl0_9|spl0_129|~spl0_4),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4093,f2280,f4090,f2261])).
% 16.65/2.55 fof(f4104,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|~spl0_7|~spl0_9),
% 16.65/2.55 inference(resolution,[status(thm)],[f3515,f2281])).
% 16.65/2.55 fof(f4105,plain,(
% 16.65/2.55 ~spl0_6|~spl0_7|~spl0_9),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4104,f2268,f2272,f2280])).
% 16.65/2.55 fof(f4106,plain,(
% 16.65/2.55 spl0_130 <=> ~c_member(tc_prod(tc_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_94,X0),v_x),v_L)|~X0=v_x|~pd0_5(sk0_94,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4109,plain,(
% 16.65/2.55 ![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_94,X0),v_x),v_L)|~X0=v_x|~pd0_5(sk0_94,X0)|sk0_94=v_y|~spl0_7)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3515,f2415])).
% 16.65/2.55 fof(f4110,plain,(
% 16.65/2.55 spl0_130|spl0_3|~spl0_7),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4109,f4106,f2257,f2272])).
% 16.65/2.55 fof(f4111,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L)|sk0_94=sk0_94|~spl0_7),
% 16.65/2.55 inference(resolution,[status(thm)],[f3515,f2154])).
% 16.65/2.55 fof(f4112,plain,(
% 16.65/2.55 ~spl0_10|spl0_129|~spl0_7),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4111,f2284,f4090,f2272])).
% 16.65/2.55 fof(f4126,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|spl0_49)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2152,f2763])).
% 16.65/2.55 fof(f4140,plain,(
% 16.65/2.55 spl0_132 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_92),sk0_100(sk0_92,sk0_91)))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4143,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_92),sk0_100(sk0_92,sk0_91)))|sk0_100(sk0_92,sk0_91)=sk0_92|~spl0_24),
% 16.65/2.55 inference(resolution,[status(thm)],[f2955,f3558])).
% 16.65/2.55 fof(f4144,plain,(
% 16.65/2.55 spl0_132|spl0_94|~spl0_24),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4143,f4140,f3568,f2506])).
% 16.65/2.55 fof(f4145,plain,(
% 16.65/2.55 spl0_133 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),sk0_92))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4148,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),sk0_92))|sk0_92=sk0_91|~spl0_28),
% 16.65/2.55 inference(resolution,[status(thm)],[f2955,f3494])).
% 16.65/2.55 fof(f4149,plain,(
% 16.65/2.55 spl0_133|spl0_93|~spl0_28),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4148,f4145,f3532,f2524])).
% 16.65/2.55 fof(f4150,plain,(
% 16.65/2.55 spl0_134 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),v_x))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4153,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),v_x))|v_x=v_y|spl0_49),
% 16.65/2.55 inference(resolution,[status(thm)],[f2955,f2763])).
% 16.65/2.55 fof(f4154,plain,(
% 16.65/2.55 spl0_134|spl0_13|spl0_49),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4153,f4150,f2403,f2761])).
% 16.65/2.55 fof(f4155,plain,(
% 16.65/2.55 spl0_135 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_x))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4158,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_x))|v_x=sk0_91|~spl0_27),
% 16.65/2.55 inference(resolution,[status(thm)],[f2955,f3232])).
% 16.65/2.55 fof(f4159,plain,(
% 16.65/2.55 spl0_135|spl0_19|~spl0_27),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4158,f4155,f2489,f2519])).
% 16.65/2.55 fof(f4185,plain,(
% 16.65/2.55 spl0_47|~spl0_22|~spl0_27),
% 16.65/2.55 inference(split_clause,[status(thm)],[f2577,f2751,f2498,f2519])).
% 16.65/2.55 fof(f4194,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,v_x),v_L)|~spl0_49),
% 16.65/2.55 inference(resolution,[status(thm)],[f2710,f2762])).
% 16.65/2.55 fof(f4198,plain,(
% 16.65/2.55 ~spl0_31|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3491,f2537,f2547])).
% 16.65/2.55 fof(f4223,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_47),
% 16.65/2.55 inference(resolution,[status(thm)],[f2752,f2710])).
% 16.65/2.55 fof(f4224,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_92),v_L)|~spl0_26),
% 16.65/2.55 inference(resolution,[status(thm)],[f2517,f2226])).
% 16.65/2.55 fof(f4270,plain,(
% 16.65/2.55 ![X0,X1,X2]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L))),
% 16.65/2.55 inference(resolution,[status(thm)],[f3819,f2710])).
% 16.65/2.55 fof(f4271,plain,(
% 16.65/2.55 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L))),
% 16.65/2.55 inference(resolution,[status(thm)],[f3819,f2153])).
% 16.65/2.55 fof(f4275,plain,(
% 16.65/2.55 spl0_136 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_93))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4278,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_93))|sk0_93=v_x|~spl0_11),
% 16.65/2.55 inference(resolution,[status(thm)],[f3512,f2955])).
% 16.65/2.55 fof(f4279,plain,(
% 16.65/2.55 spl0_136|spl0_2|~spl0_11),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4278,f4275,f2254,f2288])).
% 16.65/2.55 fof(f4285,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|~spl0_11)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3512,f3819])).
% 16.65/2.55 fof(f4286,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|~spl0_6),
% 16.65/2.55 inference(resolution,[status(thm)],[f2269,f2710])).
% 16.65/2.55 fof(f4287,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|~spl0_8|~spl0_9),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2277,f2281])).
% 16.65/2.55 fof(f4288,plain,(
% 16.65/2.55 spl0_11|~spl0_8|~spl0_9),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4287,f2288,f2276,f2280])).
% 16.65/2.55 fof(f4289,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|~spl0_8|spl0_4),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2277,f2263])).
% 16.65/2.55 fof(f4290,plain,(
% 16.65/2.55 ~spl0_6|~spl0_8|spl0_4),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4289,f2268,f2276,f2261])).
% 16.65/2.55 fof(f4296,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|~spl0_8|~spl0_4),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2277,f2262])).
% 16.65/2.55 fof(f4297,plain,(
% 16.65/2.55 $false|~spl0_11|~spl0_8|~spl0_4),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f4296,f4285])).
% 16.65/2.55 fof(f4298,plain,(
% 16.65/2.55 ~spl0_11|~spl0_8|~spl0_4),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f4297])).
% 16.65/2.55 fof(f4299,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_94),v_L)|~spl0_9),
% 16.65/2.55 inference(resolution,[status(thm)],[f2281,f2710])).
% 16.65/2.55 fof(f4300,plain,(
% 16.65/2.55 spl0_137 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_92),v_x))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4303,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_92),v_x))|v_x=sk0_92|spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f2549,f2955])).
% 16.65/2.55 fof(f4304,plain,(
% 16.65/2.55 spl0_137|spl0_92|spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4303,f4300,f3524,f2547])).
% 16.65/2.55 fof(f4306,plain,(
% 16.65/2.55 sk0_92=v_x|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f2549,f2154])).
% 16.65/2.55 fof(f4307,plain,(
% 16.65/2.55 spl0_92|spl0_31|spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4306,f3524,f2537,f2547])).
% 16.65/2.55 fof(f4312,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),v_x))|v_x=v_y|~spl0_47),
% 16.65/2.55 inference(resolution,[status(thm)],[f4223,f2955])).
% 16.65/2.55 fof(f4313,plain,(
% 16.65/2.55 spl0_134|spl0_13|~spl0_47),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4312,f4150,f2403,f2751])).
% 16.65/2.55 fof(f4318,plain,(
% 16.65/2.55 ![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_47)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4223,f3819])).
% 16.65/2.55 fof(f4319,plain,(
% 16.65/2.55 spl0_138 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_91))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4322,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_91))|sk0_91=v_x|spl0_27),
% 16.65/2.55 inference(resolution,[status(thm)],[f2521,f2955])).
% 16.65/2.55 fof(f4323,plain,(
% 16.65/2.55 spl0_138|spl0_19|spl0_27),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4322,f4319,f2489,f2519])).
% 16.65/2.55 fof(f4337,plain,(
% 16.65/2.55 ![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_28)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3494,f3819])).
% 16.65/2.55 fof(f4338,plain,(
% 16.65/2.55 spl0_139 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_94),sk0_93))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4341,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_94),sk0_93))|sk0_93=sk0_94|~spl0_9),
% 16.65/2.55 inference(resolution,[status(thm)],[f4299,f2955])).
% 16.65/2.55 fof(f4342,plain,(
% 16.65/2.55 spl0_139|spl0_1|~spl0_9),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4341,f4338,f2250,f2280])).
% 16.65/2.55 fof(f4359,plain,(
% 16.65/2.55 spl0_140 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),v_y))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4362,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),v_y))|v_y=v_x|~spl0_49),
% 16.65/2.55 inference(resolution,[status(thm)],[f4194,f2955])).
% 16.65/2.55 fof(f4363,plain,(
% 16.65/2.55 spl0_140|spl0_13|~spl0_49),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4362,f4359,f2403,f2761])).
% 16.65/2.55 fof(f4368,plain,(
% 16.65/2.55 ![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_49)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4194,f3819])).
% 16.65/2.55 fof(f4376,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_y),v_L)|~spl0_3|~spl0_7),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2258,f2273])).
% 16.65/2.55 fof(f4377,plain,(
% 16.65/2.55 spl0_49|~spl0_3|~spl0_7),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4376,f2761,f2257,f2272])).
% 16.65/2.55 fof(f4388,plain,(
% 16.65/2.55 $false|~spl0_121|~spl0_31),
% 16.65/2.55 inference(backward_subsumption_resolution,[status(thm)],[f2538,f3832])).
% 16.65/2.55 fof(f4389,plain,(
% 16.65/2.55 ~spl0_121|~spl0_31),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f4388])).
% 16.65/2.55 fof(f4396,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_92|~spl0_28),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f3525,f2525])).
% 16.65/2.55 fof(f4397,plain,(
% 16.65/2.55 spl0_27|~spl0_92|~spl0_28),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4396,f2519,f3524,f2524])).
% 16.65/2.55 fof(f4427,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_92|~spl0_26),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f3525,f4224])).
% 16.65/2.55 fof(f4428,plain,(
% 16.65/2.55 spl0_27|~spl0_92|~spl0_26),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4427,f2519,f3524,f2516])).
% 16.65/2.55 fof(f4480,plain,(
% 16.65/2.55 spl0_33|~spl0_19|~spl0_28),
% 16.65/2.55 inference(split_clause,[status(thm)],[f3352,f2547,f2489,f2524])).
% 16.65/2.55 fof(f4497,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_19|~spl0_27),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2490,f2520])).
% 16.65/2.55 fof(f4498,plain,(
% 16.65/2.55 $false|~spl0_19|~spl0_27),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f4497,f4271])).
% 16.65/2.55 fof(f4499,plain,(
% 16.65/2.55 ~spl0_19|~spl0_27),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f4498])).
% 16.65/2.55 fof(f4520,plain,(
% 16.65/2.55 pd0_7(sk0_92,sk0_91)|sk0_92=v_y|~spl0_29),
% 16.65/2.55 inference(resolution,[status(thm)],[f2209,f2532])).
% 16.65/2.55 fof(f4521,plain,(
% 16.65/2.55 spl0_26|spl0_20|~spl0_29),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4520,f2516,f2492,f2531])).
% 16.65/2.55 fof(f4522,plain,(
% 16.65/2.55 ![X0,X1]: (pd0_7(X0,X1)|X0=v_y|~pd0_4(X0,X1)|X1=v_y)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2209,f2200])).
% 16.65/2.55 fof(f4523,plain,(
% 16.65/2.55 pd0_7(sk0_92,sk0_91)|sk0_92=v_y|sk0_91=v_y|~spl0_0),
% 16.65/2.55 inference(resolution,[status(thm)],[f4522,f2248])).
% 16.65/2.55 fof(f4524,plain,(
% 16.65/2.55 spl0_26|spl0_20|spl0_22|~spl0_0),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4523,f2516,f2492,f2498,f2247])).
% 16.65/2.55 fof(f4526,plain,(
% 16.65/2.55 sk0_92=v_x|~spl0_35),
% 16.65/2.55 inference(resolution,[status(thm)],[f2581,f2234])).
% 16.65/2.55 fof(f4527,plain,(
% 16.65/2.55 spl0_92|~spl0_35),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4526,f3524,f2580])).
% 16.65/2.55 fof(f4567,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_93),v_L)|~spl0_1|~spl0_9),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2251,f2281])).
% 16.65/2.55 fof(f4568,plain,(
% 16.65/2.55 $false|~spl0_1|~spl0_9),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f4567,f4271])).
% 16.65/2.55 fof(f4569,plain,(
% 16.65/2.55 ~spl0_1|~spl0_9),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f4568])).
% 16.65/2.55 fof(f4576,plain,(
% 16.65/2.55 pd0_6(sk0_97(sk0_92,v_y),sk0_92)|~spl0_22|~spl0_30),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2499,f2535])).
% 16.65/2.55 fof(f4617,plain,(
% 16.65/2.55 ![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,v_x),v_L)|~spl0_49)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4194,f2152])).
% 16.65/2.55 fof(f4656,plain,(
% 16.65/2.55 spl0_142 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_92))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4659,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_92))|sk0_92=v_x|spl0_31),
% 16.65/2.55 inference(resolution,[status(thm)],[f2539,f2955])).
% 16.65/2.55 fof(f4660,plain,(
% 16.65/2.55 spl0_142|spl0_92|spl0_31),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4659,f4656,f3524,f2537])).
% 16.65/2.55 fof(f4666,plain,(
% 16.65/2.55 spl0_143 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_94))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4669,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_94))|sk0_94=v_x|~spl0_7),
% 16.65/2.55 inference(resolution,[status(thm)],[f3482,f2955])).
% 16.65/2.55 fof(f4670,plain,(
% 16.65/2.55 spl0_143|spl0_8|~spl0_7),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4669,f4666,f2276,f2272])).
% 16.65/2.55 fof(f4676,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_94,v_x),v_L)|~spl0_7)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3482,f3819])).
% 16.65/2.55 fof(f4677,plain,(
% 16.65/2.55 spl0_144 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),sk0_94))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4680,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),sk0_94))|sk0_94=sk0_93|~spl0_4),
% 16.65/2.55 inference(resolution,[status(thm)],[f3498,f2955])).
% 16.65/2.55 fof(f4681,plain,(
% 16.65/2.55 spl0_144|spl0_1|~spl0_4),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4680,f4677,f2250,f2261])).
% 16.65/2.55 fof(f4688,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_8|~spl0_7),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2277,f2273])).
% 16.65/2.55 fof(f4689,plain,(
% 16.65/2.55 $false|~spl0_8|~spl0_7),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f4688,f4271])).
% 16.65/2.55 fof(f4690,plain,(
% 16.65/2.55 ~spl0_8|~spl0_7),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f4689])).
% 16.65/2.55 fof(f4694,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_93),v_L)|~spl0_1|~spl0_4),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2251,f2262])).
% 16.65/2.55 fof(f4695,plain,(
% 16.65/2.55 $false|~spl0_1|~spl0_4),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f4694,f4271])).
% 16.65/2.55 fof(f4696,plain,(
% 16.65/2.55 ~spl0_1|~spl0_4),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f4695])).
% 16.65/2.55 fof(f4744,plain,(
% 16.65/2.55 spl0_146 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4754,plain,(
% 16.65/2.55 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,X0,v_x),v_L)|X0=v_y|~pd0_4(X0,sk0_93)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4757,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|X0=v_y|~pd0_4(X0,sk0_93)|sk0_93=v_y|~spl0_11)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3544,f2387])).
% 16.65/2.55 fof(f4758,plain,(
% 16.65/2.55 spl0_148|spl0_5|~spl0_11),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4757,f4754,f2264,f2288])).
% 16.65/2.55 fof(f4767,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_11),
% 16.65/2.55 inference(resolution,[status(thm)],[f3544,f569])).
% 16.65/2.55 fof(f4768,plain,(
% 16.65/2.55 ~spl0_6|~spl0_115|~spl0_11),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4767,f2268,f3789,f2288])).
% 16.65/2.55 fof(f4777,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|~spl0_1|~spl0_7)),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2251,f4676])).
% 16.65/2.55 fof(f4778,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|~spl0_1|~spl0_7),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2251,f2273])).
% 16.65/2.55 fof(f4779,plain,(
% 16.65/2.55 spl0_11|~spl0_1|~spl0_7),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4778,f2288,f2250,f2272])).
% 16.65/2.55 fof(f4780,plain,(
% 16.65/2.55 $false|~spl0_1|~spl0_7|~spl0_6),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f2269,f4777])).
% 16.65/2.55 fof(f4781,plain,(
% 16.65/2.55 ~spl0_1|~spl0_7|~spl0_6),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f4780])).
% 16.65/2.55 fof(f4788,plain,(
% 16.65/2.55 ~sk0_93=v_x|spl0_8|~spl0_1),
% 16.65/2.55 inference(paramodulation,[status(thm)],[f2251,f2278])).
% 16.65/2.55 fof(f4795,plain,(
% 16.65/2.55 spl0_149 <=> pd0_4(sk0_93,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4798,plain,(
% 16.65/2.55 sk0_93=v_y|~pd0_4(sk0_93,v_x)|v_x=v_y|~spl0_6),
% 16.65/2.55 inference(resolution,[status(thm)],[f4286,f2387])).
% 16.65/2.55 fof(f4799,plain,(
% 16.65/2.55 spl0_5|~spl0_149|spl0_13|~spl0_6),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4798,f2264,f4795,f2403,f2268])).
% 16.65/2.55 fof(f4800,plain,(
% 16.65/2.55 spl0_150 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),v_x))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4803,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),v_x))|v_x=sk0_93|~spl0_6),
% 16.65/2.55 inference(resolution,[status(thm)],[f4286,f2955])).
% 16.65/2.55 fof(f4804,plain,(
% 16.65/2.55 spl0_150|spl0_2|~spl0_6),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4803,f4800,f2254,f2268])).
% 16.65/2.55 fof(f4805,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_93),v_L)|~spl0_6)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4286,f2152])).
% 16.65/2.55 fof(f4810,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|~spl0_6)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4286,f3819])).
% 16.65/2.55 fof(f4833,plain,(
% 16.65/2.55 spl0_151 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4836,plain,(
% 16.65/2.55 ![X0,X1]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.55 inference(resolution,[status(thm)],[f4270,f569])).
% 16.65/2.55 fof(f4837,plain,(
% 16.65/2.55 spl0_151|~spl0_115),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4836,f4833,f3789])).
% 16.65/2.55 fof(f4838,plain,(
% 16.65/2.55 ![X0,X1,X2,X3]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)|~c_member(X3,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L))),
% 16.65/2.55 inference(resolution,[status(thm)],[f4270,f3819])).
% 16.65/2.55 fof(f4839,plain,(
% 16.65/2.55 spl0_152 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4840,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_152)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f4839])).
% 16.65/2.55 fof(f4867,plain,(
% 16.65/2.55 spl0_153 <=> ~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4868,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_153)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f4867])).
% 16.65/2.55 fof(f4873,plain,(
% 16.65/2.55 $false|~spl0_153|~spl0_27),
% 16.65/2.55 inference(backward_subsumption_resolution,[status(thm)],[f2520,f4868])).
% 16.65/2.55 fof(f4874,plain,(
% 16.65/2.55 ~spl0_153|~spl0_27),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f4873])).
% 16.65/2.55 fof(f4875,plain,(
% 16.65/2.55 $false|~spl0_152|~spl0_65),
% 16.65/2.55 inference(backward_subsumption_resolution,[status(thm)],[f3030,f4840])).
% 16.65/2.55 fof(f4876,plain,(
% 16.65/2.55 ~spl0_152|~spl0_65),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f4875])).
% 16.65/2.55 fof(f4883,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)|~spl0_33|~spl0_36),
% 16.65/2.55 inference(resolution,[status(thm)],[f3523,f2584])).
% 16.65/2.55 fof(f4884,plain,(
% 16.65/2.55 spl0_154 <=> ~pd0_4(X0,sk0_92)|~X0=v_y),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4887,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~pd0_4(X0,sk0_92)|~X0=v_y|~spl0_33)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3523,f2389])).
% 16.65/2.55 fof(f4888,plain,(
% 16.65/2.55 ~spl0_146|spl0_154|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4887,f4744,f4884,f2547])).
% 16.65/2.55 fof(f4889,plain,(
% 16.65/2.55 spl0_155 <=> ~c_member(tc_prod(tc_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),v_x),v_L)|~X0=v_x|~pd0_5(sk0_92,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4892,plain,(
% 16.65/2.55 ![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),v_x),v_L)|~X0=v_x|~pd0_5(sk0_92,X0)|sk0_92=v_y|~spl0_33)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3523,f2415])).
% 16.65/2.55 fof(f4893,plain,(
% 16.65/2.55 spl0_155|spl0_20|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4892,f4889,f2492,f2547])).
% 16.65/2.55 fof(f4894,plain,(
% 16.65/2.55 spl0_156 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|X0=v_y|~pd0_4(X0,sk0_92)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4897,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|X0=v_y|~pd0_4(X0,sk0_92)|sk0_92=v_y|~spl0_33)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3523,f2387])).
% 16.65/2.55 fof(f4898,plain,(
% 16.65/2.55 spl0_156|spl0_20|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4897,f4894,f2492,f2547])).
% 16.65/2.55 fof(f4901,plain,(
% 16.65/2.55 spl0_157 <=> sk0_92=sk0_92),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4912,plain,(
% 16.65/2.55 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,X0),v_L)|~spl0_33)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3523,f3819])).
% 16.65/2.55 fof(f4933,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~pd0_4(X0,sk0_92)|~X0=v_y|~spl0_28)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3531,f2389])).
% 16.65/2.55 fof(f4934,plain,(
% 16.65/2.55 ~spl0_65|spl0_154|~spl0_28),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4933,f3029,f4884,f2524])).
% 16.65/2.55 fof(f4935,plain,(
% 16.65/2.55 spl0_158 <=> ~c_member(tc_prod(tc_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)|~X0=v_x|~pd0_5(sk0_92,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4938,plain,(
% 16.65/2.55 ![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)|~X0=v_x|~pd0_5(sk0_92,X0)|sk0_92=v_y|~spl0_28)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3531,f2415])).
% 16.65/2.55 fof(f4939,plain,(
% 16.65/2.55 spl0_158|spl0_20|~spl0_28),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4938,f4935,f2492,f2524])).
% 16.65/2.55 fof(f4940,plain,(
% 16.65/2.55 spl0_159 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|X0=v_y|~pd0_4(X0,sk0_92)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4943,plain,(
% 16.65/2.55 ![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)|X0=v_y|~pd0_4(X0,sk0_92)|sk0_92=v_y|~spl0_28)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3531,f2387])).
% 16.65/2.55 fof(f4944,plain,(
% 16.65/2.55 spl0_159|spl0_20|~spl0_28),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4943,f4940,f2492,f2524])).
% 16.65/2.55 fof(f4947,plain,(
% 16.65/2.55 spl0_160 <=> c_member(tc_prod(tc_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)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f4950,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|sk0_92=sk0_92|~spl0_28),
% 16.65/2.55 inference(resolution,[status(thm)],[f3531,f2154])).
% 16.65/2.55 fof(f4951,plain,(
% 16.65/2.55 ~spl0_160|spl0_157|~spl0_28),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4950,f4947,f4901,f2524])).
% 16.65/2.55 fof(f4956,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_28),
% 16.65/2.55 inference(resolution,[status(thm)],[f3531,f569])).
% 16.65/2.55 fof(f4957,plain,(
% 16.65/2.55 ~spl0_160|~spl0_115|~spl0_28),
% 16.65/2.55 inference(split_clause,[status(thm)],[f4956,f4947,f3789,f2524])).
% 16.65/2.55 fof(f4958,plain,(
% 16.65/2.55 ![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,sk0_92,X0),v_L)|~spl0_28)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3531,f3819])).
% 16.65/2.55 fof(f4980,plain,(
% 16.65/2.55 pd0_9(sk0_91,sk0_92,sk0_91)|~spl0_89|~spl0_34),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f3445,f2553])).
% 16.65/2.55 fof(f4981,plain,(
% 16.65/2.55 pd0_9(v_x,sk0_92,sk0_91)|~spl0_19|~spl0_89|~spl0_34),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2490,f4980])).
% 16.65/2.55 fof(f4982,plain,(
% 16.65/2.55 pd0_9(v_x,sk0_92,v_x)|~spl0_19|~spl0_89|~spl0_34),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2490,f4981])).
% 16.65/2.55 fof(f4983,plain,(
% 16.65/2.55 v_x=sk0_100(sk0_92,sk0_91)|~spl0_19|~spl0_89),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2490,f3445])).
% 16.65/2.55 fof(f4984,plain,(
% 16.65/2.55 v_x=sk0_100(sk0_92,v_x)|~spl0_19|~spl0_89),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2490,f4983])).
% 16.65/2.55 fof(f5025,plain,(
% 16.65/2.55 spl0_161 <=> pd0_4(v_y,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5030,plain,(
% 16.65/2.55 spl0_162 <=> pd0_10(v_x,sk0_92,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5031,plain,(
% 16.65/2.55 pd0_10(v_x,sk0_92,v_x)|~spl0_162),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5030])).
% 16.65/2.55 fof(f5044,plain,(
% 16.65/2.55 pd0_10(v_x,sk0_92,v_x)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_19|~spl0_89|~spl0_34),
% 16.65/2.55 inference(resolution,[status(thm)],[f4982,f2239])).
% 16.65/2.55 fof(f5045,plain,(
% 16.65/2.55 spl0_162|spl0_31|~spl0_19|~spl0_89|~spl0_34),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5044,f5030,f2537,f2489,f3444,f2552])).
% 16.65/2.55 fof(f5046,plain,(
% 16.65/2.55 spl0_164 <=> v_x=sk0_100(sk0_92,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5047,plain,(
% 16.65/2.55 v_x=sk0_100(sk0_92,v_x)|~spl0_164),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5046])).
% 16.65/2.55 fof(f5049,plain,(
% 16.65/2.55 spl0_165 <=> pd0_5(sk0_92,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5050,plain,(
% 16.65/2.55 pd0_5(sk0_92,v_x)|~spl0_165),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5049])).
% 16.65/2.55 fof(f5051,plain,(
% 16.65/2.55 ~pd0_5(sk0_92,v_x)|spl0_165),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5049])).
% 16.65/2.55 fof(f5054,plain,(
% 16.65/2.55 ~v_x=v_x|~pd0_5(sk0_92,v_x)|sk0_92=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_19|~spl0_89),
% 16.65/2.55 inference(paramodulation,[status(thm)],[f4984,f2415])).
% 16.65/2.55 fof(f5055,plain,(
% 16.65/2.55 ~spl0_15|~spl0_165|spl0_20|spl0_31|~spl0_19|~spl0_89),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5054,f2439,f5049,f2492,f2537,f2489,f3444])).
% 16.65/2.55 fof(f5056,plain,(
% 16.65/2.55 spl0_166 <=> sk0_100(sk0_92,v_x)=v_y),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5059,plain,(
% 16.65/2.55 spl0_167 <=> pd0_7(sk0_92,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5060,plain,(
% 16.65/2.55 pd0_7(sk0_92,v_x)|~spl0_167),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5059])).
% 16.65/2.55 fof(f5062,plain,(
% 16.65/2.55 spl0_168 <=> sk0_101(sk0_92,v_x)=v_y),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5117,plain,(
% 16.65/2.55 ~v_x=v_x|~spl0_162),
% 16.65/2.55 inference(resolution,[status(thm)],[f5031,f2245])).
% 16.65/2.55 fof(f5118,plain,(
% 16.65/2.55 $false|~spl0_162),
% 16.65/2.55 inference(trivial_equality_resolution,[status(esa)],[f5117])).
% 16.65/2.55 fof(f5119,plain,(
% 16.65/2.55 ~spl0_162),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f5118])).
% 16.65/2.55 fof(f5122,plain,(
% 16.65/2.55 ~v_x=v_x|~pd0_5(sk0_92,v_x)|sk0_92=v_y|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_164),
% 16.65/2.55 inference(paramodulation,[status(thm)],[f5047,f2415])).
% 16.65/2.55 fof(f5123,plain,(
% 16.65/2.55 ~spl0_15|~spl0_165|spl0_20|spl0_31|~spl0_164),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5122,f2439,f5049,f2492,f2537,f5046])).
% 16.65/2.55 fof(f5231,plain,(
% 16.65/2.55 spl0_178 <=> pd0_4(sk0_92,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5233,plain,(
% 16.65/2.55 ~pd0_4(sk0_92,v_x)|spl0_178),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5231])).
% 16.65/2.55 fof(f5234,plain,(
% 16.65/2.55 ~pd0_4(sk0_92,v_x)|v_x=v_y|spl0_165),
% 16.65/2.55 inference(resolution,[status(thm)],[f5051,f2200])).
% 16.65/2.55 fof(f5235,plain,(
% 16.65/2.55 ~spl0_178|spl0_13|spl0_165),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5234,f5231,f2403,f5049])).
% 16.65/2.55 fof(f5238,plain,(
% 16.65/2.55 spl0_179 <=> pd0_10(sk0_100(sk0_92,v_x),sk0_92,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5239,plain,(
% 16.65/2.55 pd0_10(sk0_100(sk0_92,v_x),sk0_92,v_x)|~spl0_179),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5238])).
% 16.65/2.55 fof(f5241,plain,(
% 16.65/2.55 spl0_180 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,v_x)),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5242,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,v_x)),v_L)|~spl0_180),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5241])).
% 16.65/2.55 fof(f5244,plain,(
% 16.65/2.55 pd0_10(sk0_100(sk0_92,v_x),sk0_92,v_x)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,v_x)),v_L)|sk0_101(sk0_92,v_x)=v_y|~spl0_167),
% 16.65/2.55 inference(resolution,[status(thm)],[f5060,f2391])).
% 16.65/2.55 fof(f5245,plain,(
% 16.65/2.55 spl0_179|spl0_180|spl0_168|~spl0_167),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5244,f5238,f5241,f5062,f5059])).
% 16.65/2.55 fof(f5257,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,v_x),v_x),v_L)|~spl0_180|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f5242,f4912])).
% 16.65/2.55 fof(f5264,plain,(
% 16.65/2.55 spl0_181 <=> ~pd0_4(X0,v_y)|~X0=v_y),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5267,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~pd0_4(X0,v_y)|~X0=v_y|~spl0_49)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4617,f2389])).
% 16.65/2.55 fof(f5268,plain,(
% 16.65/2.55 ~spl0_146|spl0_181|~spl0_49),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5267,f4744,f5264,f2761])).
% 16.65/2.55 fof(f5316,plain,(
% 16.65/2.55 spl0_183 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5319,plain,(
% 16.65/2.55 spl0_184 <=> ~pd0_4(X0,X1)|~X0=v_y),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5320,plain,(
% 16.65/2.55 ![X0,X1]: (~pd0_4(X0,X1)|~X0=v_y|~spl0_184)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5319])).
% 16.65/2.55 fof(f5322,plain,(
% 16.65/2.55 ![X0,X1]: (c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~pd0_4(X0,X1)|~X0=v_y)),
% 16.65/2.55 inference(resolution,[status(thm)],[f749,f2389])).
% 16.65/2.55 fof(f5323,plain,(
% 16.65/2.55 spl0_183|spl0_184),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5322,f5316,f5319])).
% 16.65/2.55 fof(f5330,plain,(
% 16.65/2.55 ![X0,X1]: (c_member(tc_Arrow__Order__Mirabelle_Oalt,X0,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|X0=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L))),
% 16.65/2.55 inference(resolution,[status(thm)],[f749,f2154])).
% 16.65/2.55 fof(f5357,plain,(
% 16.65/2.55 ![X0,X1]: (pd0_7(X0,X1)|~pd0_4(X0,X1)|X1=v_y|~spl0_184)),
% 16.65/2.55 inference(backward_subsumption_resolution,[status(thm)],[f4522,f5320])).
% 16.65/2.55 fof(f5396,plain,(
% 16.65/2.55 pd0_7(sk0_92,sk0_91)|sk0_91=v_y|~spl0_184|~spl0_0),
% 16.65/2.55 inference(resolution,[status(thm)],[f5357,f2248])).
% 16.65/2.55 fof(f5397,plain,(
% 16.65/2.55 spl0_26|spl0_22|~spl0_184|~spl0_0),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5396,f2516,f2498,f5319,f2247])).
% 16.65/2.55 fof(f5418,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_93),v_L)|~spl0_6|~spl0_65),
% 16.65/2.55 inference(resolution,[status(thm)],[f4805,f3030])).
% 16.65/2.55 fof(f5420,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_93),v_L)|~spl0_6|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f4805,f2548])).
% 16.65/2.55 fof(f5421,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_93),v_L)|~spl0_6|~spl0_49),
% 16.65/2.55 inference(resolution,[status(thm)],[f4805,f2762])).
% 16.65/2.55 fof(f5423,plain,(
% 16.65/2.55 spl0_185 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_x,X0),sk0_93),v_L)|~X0=v_x|~pd0_5(v_x,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5426,plain,(
% 16.65/2.55 ![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_x,X0),sk0_93),v_L)|~X0=v_x|~pd0_5(v_x,X0)|v_x=v_y|~spl0_6)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4805,f2415])).
% 16.65/2.55 fof(f5427,plain,(
% 16.65/2.55 spl0_185|spl0_13|~spl0_6),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5426,f5423,f2403,f2268])).
% 16.65/2.55 fof(f5438,plain,(
% 16.65/2.55 ![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_93),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~spl0_6)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4805,f3819])).
% 16.65/2.55 fof(f5439,plain,(
% 16.65/2.55 spl0_186 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),sk0_91))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5442,plain,(
% 16.65/2.55 spl0_187 <=> sk0_91=sk0_93),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5443,plain,(
% 16.65/2.55 sk0_91=sk0_93|~spl0_187),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5442])).
% 16.65/2.55 fof(f5445,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),sk0_91))|sk0_91=sk0_93|~spl0_6|~spl0_65),
% 16.65/2.55 inference(resolution,[status(thm)],[f5418,f2955])).
% 16.65/2.55 fof(f5446,plain,(
% 16.65/2.55 spl0_186|spl0_187|~spl0_6|~spl0_65),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5445,f5439,f5442,f2268,f3029])).
% 16.65/2.55 fof(f5447,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_93),v_L)|~spl0_6|~spl0_65)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5418,f2152])).
% 16.65/2.55 fof(f5448,plain,(
% 16.65/2.55 spl0_188 <=> c_member(tc_prod(tc_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_91),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5449,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_91),v_L)|~spl0_188),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5448])).
% 16.65/2.55 fof(f5450,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_91),v_L)|spl0_188),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5448])).
% 16.65/2.55 fof(f5451,plain,(
% 16.65/2.55 sk0_93=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_91),v_L)|~spl0_6|~spl0_65),
% 16.65/2.55 inference(resolution,[status(thm)],[f5418,f2154])).
% 16.65/2.55 fof(f5452,plain,(
% 16.65/2.55 spl0_187|spl0_188|~spl0_6|~spl0_65),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5451,f5442,f5448,f2268,f3029])).
% 16.65/2.55 fof(f5456,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_91),v_L)|~spl0_187|~spl0_188),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f5443,f5449])).
% 16.65/2.55 fof(f5457,plain,(
% 16.65/2.55 $false|~spl0_187|~spl0_188),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f5456,f4271])).
% 16.65/2.55 fof(f5458,plain,(
% 16.65/2.55 ~spl0_187|~spl0_188),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f5457])).
% 16.65/2.55 fof(f5463,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_187|~spl0_6),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f5443,f2269])).
% 16.65/2.55 fof(f5464,plain,(
% 16.65/2.55 spl0_27|~spl0_187|~spl0_6),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5463,f2519,f5442,f2268])).
% 16.65/2.55 fof(f5477,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_91),v_L)|~spl0_187|~spl0_6)),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f5443,f4810])).
% 16.65/2.55 fof(f5478,plain,(
% 16.65/2.55 spl0_152|~spl0_187|~spl0_6),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5477,f4839,f5442,f2268])).
% 16.65/2.55 fof(f5491,plain,(
% 16.65/2.55 spl0_189 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),v_y))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5494,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),v_y))|v_y=sk0_93|~spl0_6|~spl0_49),
% 16.65/2.55 inference(resolution,[status(thm)],[f5421,f2955])).
% 16.65/2.55 fof(f5495,plain,(
% 16.65/2.55 spl0_189|spl0_5|~spl0_6|~spl0_49),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5494,f5491,f2264,f2268,f2761])).
% 16.65/2.55 fof(f5496,plain,(
% 16.65/2.55 ![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_93),v_L)|~spl0_6|~spl0_49)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5421,f2152])).
% 16.65/2.55 fof(f5497,plain,(
% 16.65/2.55 spl0_190 <=> c_member(tc_prod(tc_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)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5498,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_y),v_L)|~spl0_190),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5497])).
% 16.65/2.55 fof(f5500,plain,(
% 16.65/2.55 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_93,v_y),v_L)|~spl0_6|~spl0_49),
% 16.65/2.55 inference(resolution,[status(thm)],[f5421,f2154])).
% 16.65/2.55 fof(f5501,plain,(
% 16.65/2.55 spl0_5|spl0_190|~spl0_6|~spl0_49),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5500,f2264,f5497,f2268,f2761])).
% 16.65/2.55 fof(f5514,plain,(
% 16.65/2.55 spl0_191 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),sk0_92))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5517,plain,(
% 16.65/2.55 spl0_192 <=> sk0_92=sk0_93),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5518,plain,(
% 16.65/2.55 sk0_92=sk0_93|~spl0_192),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5517])).
% 16.65/2.55 fof(f5520,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),sk0_92))|sk0_92=sk0_93|~spl0_6|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f5420,f2955])).
% 16.65/2.55 fof(f5521,plain,(
% 16.65/2.55 spl0_191|spl0_192|~spl0_6|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5520,f5514,f5517,f2268,f2547])).
% 16.65/2.55 fof(f5522,plain,(
% 16.65/2.55 ![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_93),v_L)|~spl0_6|~spl0_33)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5420,f2152])).
% 16.65/2.55 fof(f5523,plain,(
% 16.65/2.55 spl0_193 <=> c_member(tc_prod(tc_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_92),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5524,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_92),v_L)|~spl0_193),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5523])).
% 16.65/2.55 fof(f5526,plain,(
% 16.65/2.55 sk0_93=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_93,sk0_92),v_L)|~spl0_6|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f5420,f2154])).
% 16.65/2.55 fof(f5527,plain,(
% 16.65/2.55 spl0_192|spl0_193|~spl0_6|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5526,f5517,f5523,f2268,f2547])).
% 16.65/2.55 fof(f5531,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_92),v_L)|~spl0_192|~spl0_193),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f5518,f5524])).
% 16.65/2.55 fof(f5532,plain,(
% 16.65/2.55 $false|~spl0_192|~spl0_193),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f5531,f4271])).
% 16.65/2.55 fof(f5533,plain,(
% 16.65/2.55 ~spl0_192|~spl0_193),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f5532])).
% 16.65/2.55 fof(f5535,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_x),v_L)|~spl0_192|~spl0_6),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f5518,f2269])).
% 16.65/2.55 fof(f5536,plain,(
% 16.65/2.55 spl0_31|~spl0_192|~spl0_6),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5535,f2537,f5517,f2268])).
% 16.65/2.55 fof(f5542,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_192|~spl0_188),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f5518,f5449])).
% 16.65/2.55 fof(f5543,plain,(
% 16.65/2.55 $false|~spl0_28|~spl0_192|~spl0_188),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f5542,f4337])).
% 16.65/2.55 fof(f5544,plain,(
% 16.65/2.55 ~spl0_28|~spl0_192|~spl0_188),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f5543])).
% 16.65/2.55 fof(f5548,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_93),v_L)|~spl0_190)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5498,f4838])).
% 16.65/2.55 fof(f5570,plain,(
% 16.65/2.55 spl0_194 <=> ~c_member(tc_prod(tc_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_91,X0),v_x),v_L)|~X0=v_x|~pd0_5(sk0_91,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5573,plain,(
% 16.65/2.55 ![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_91,X0),v_x),v_L)|~X0=v_x|~pd0_5(sk0_91,X0)|sk0_91=v_y|spl0_27)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3028,f2415])).
% 16.65/2.55 fof(f5574,plain,(
% 16.65/2.55 spl0_194|spl0_22|spl0_27),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5573,f5570,f2498,f2519])).
% 16.65/2.55 fof(f5577,plain,(
% 16.65/2.55 spl0_195 <=> sk0_91=sk0_91),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5588,plain,(
% 16.65/2.55 ![X0,X1]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|spl0_27)),
% 16.65/2.55 inference(resolution,[status(thm)],[f3028,f3819])).
% 16.65/2.55 fof(f5595,plain,(
% 16.65/2.55 ![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_93,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_188)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5450,f2152])).
% 16.65/2.55 fof(f5596,plain,(
% 16.65/2.55 spl0_197 <=> c_member(tc_prod(tc_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_93),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5597,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_93),v_L)|~spl0_197),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5596])).
% 16.65/2.55 fof(f5599,plain,(
% 16.65/2.55 sk0_91=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_91,sk0_93),v_L)|spl0_188),
% 16.65/2.55 inference(resolution,[status(thm)],[f5450,f2154])).
% 16.65/2.55 fof(f5600,plain,(
% 16.65/2.55 spl0_187|spl0_197|spl0_188),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5599,f5442,f5596,f5448])).
% 16.65/2.55 fof(f5605,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,sk0_91),v_L)|~spl0_197)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5597,f4838])).
% 16.65/2.55 fof(f5611,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,v_y),v_L)|spl0_49|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f4126,f2548])).
% 16.65/2.55 fof(f5613,plain,(
% 16.65/2.55 spl0_198 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_x,X0),v_y),v_L)|~X0=v_x|~pd0_5(v_x,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5616,plain,(
% 16.65/2.55 ![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_x,X0),v_y),v_L)|~X0=v_x|~pd0_5(v_x,X0)|v_x=v_y|spl0_49)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4126,f2415])).
% 16.65/2.55 fof(f5617,plain,(
% 16.65/2.55 spl0_198|spl0_13|spl0_49),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5616,f5613,f2403,f2761])).
% 16.65/2.55 fof(f5628,plain,(
% 16.65/2.55 ![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)|~c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|spl0_49)),
% 16.65/2.55 inference(resolution,[status(thm)],[f4126,f3819])).
% 16.65/2.55 fof(f5629,plain,(
% 16.65/2.55 spl0_199 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),sk0_92))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5632,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),sk0_92))|sk0_92=v_y|spl0_49|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f5611,f2955])).
% 16.65/2.55 fof(f5633,plain,(
% 16.65/2.55 spl0_199|spl0_20|spl0_49|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5632,f5629,f2492,f2761,f2547])).
% 16.65/2.55 fof(f5635,plain,(
% 16.65/2.55 spl0_200 <=> c_member(tc_prod(tc_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)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5638,plain,(
% 16.65/2.55 v_y=sk0_92|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_92),v_L)|spl0_49|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f5611,f2154])).
% 16.65/2.55 fof(f5639,plain,(
% 16.65/2.55 spl0_20|spl0_200|spl0_49|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5638,f2492,f5635,f2761,f2547])).
% 16.65/2.55 fof(f5677,plain,(
% 16.65/2.55 spl0_201 <=> ~c_member(tc_prod(tc_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_93),v_L)|~X0=v_x|~pd0_5(sk0_92,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5680,plain,(
% 16.65/2.55 ![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_93),v_L)|~X0=v_x|~pd0_5(sk0_92,X0)|sk0_92=v_y|~spl0_6|~spl0_33)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5522,f2415])).
% 16.65/2.55 fof(f5681,plain,(
% 16.65/2.55 spl0_201|spl0_20|~spl0_6|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5680,f5677,f2492,f2268,f2547])).
% 16.65/2.55 fof(f5684,plain,(
% 16.65/2.55 spl0_202 <=> c_member(tc_prod(tc_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_93),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5686,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_93),v_L)|spl0_202),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5684])).
% 16.65/2.55 fof(f5687,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_93),v_L)|sk0_92=sk0_92|~spl0_6|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f5522,f2154])).
% 16.65/2.55 fof(f5688,plain,(
% 16.65/2.55 ~spl0_202|spl0_157|~spl0_6|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5687,f5684,f4901,f2268,f2547])).
% 16.65/2.55 fof(f5693,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_93),v_L)|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_6|~spl0_33),
% 16.65/2.55 inference(resolution,[status(thm)],[f5522,f569])).
% 16.65/2.55 fof(f5694,plain,(
% 16.65/2.55 ~spl0_202|~spl0_115|~spl0_6|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5693,f5684,f3789,f2268,f2547])).
% 16.65/2.55 fof(f5721,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|sk0_91=sk0_91|~spl0_91),
% 16.65/2.55 inference(resolution,[status(thm)],[f3469,f2154])).
% 16.65/2.55 fof(f5722,plain,(
% 16.65/2.55 ~spl0_27|spl0_195|~spl0_91),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5721,f2519,f5577,f3468])).
% 16.65/2.55 fof(f5727,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_91),
% 16.65/2.55 inference(resolution,[status(thm)],[f3469,f569])).
% 16.65/2.55 fof(f5728,plain,(
% 16.65/2.55 ~spl0_27|~spl0_115|~spl0_91),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5727,f2519,f3789,f3468])).
% 16.65/2.55 fof(f5753,plain,(
% 16.65/2.55 spl0_204 <=> c_member(tc_prod(tc_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)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5762,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,sk0_93),v_L)|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_6|~spl0_49),
% 16.65/2.55 inference(resolution,[status(thm)],[f5496,f569])).
% 16.65/2.55 fof(f5763,plain,(
% 16.65/2.55 ~spl0_204|~spl0_115|~spl0_6|~spl0_49),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5762,f5753,f3789,f2268,f2761])).
% 16.65/2.55 fof(f5779,plain,(
% 16.65/2.55 spl0_205 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_91,X0),sk0_93),v_L)|~X0=v_x|~pd0_5(sk0_91,X0)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5782,plain,(
% 16.65/2.55 ![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_91,X0),sk0_93),v_L)|~X0=v_x|~pd0_5(sk0_91,X0)|sk0_91=v_y|~spl0_6|~spl0_65)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5447,f2415])).
% 16.65/2.55 fof(f5783,plain,(
% 16.65/2.55 spl0_205|spl0_22|~spl0_6|~spl0_65),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5782,f5779,f2498,f2268,f3029])).
% 16.65/2.55 fof(f5786,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_93),v_L)|sk0_91=sk0_91|~spl0_6|~spl0_65),
% 16.65/2.55 inference(resolution,[status(thm)],[f5447,f2154])).
% 16.65/2.55 fof(f5787,plain,(
% 16.65/2.55 ~spl0_197|spl0_195|~spl0_6|~spl0_65),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5786,f5596,f5577,f2268,f3029])).
% 16.65/2.55 fof(f5792,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_93),v_L)|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_6|~spl0_65),
% 16.65/2.55 inference(resolution,[status(thm)],[f5447,f569])).
% 16.65/2.55 fof(f5793,plain,(
% 16.65/2.55 ~spl0_197|~spl0_115|~spl0_6|~spl0_65),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5792,f5596,f3789,f2268,f3029])).
% 16.65/2.55 fof(f5795,plain,(
% 16.65/2.55 $false|spl0_178|~spl0_19|~spl0_0),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f3045,f5233])).
% 16.65/2.55 fof(f5796,plain,(
% 16.65/2.55 spl0_178|~spl0_19|~spl0_0),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f5795])).
% 16.65/2.55 fof(f5797,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,v_x),sk0_91),v_L)|~spl0_19|~spl0_90),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2490,f3448])).
% 16.65/2.55 fof(f5798,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,v_x),v_x),v_L)|~spl0_19|~spl0_90),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f2490,f5797])).
% 16.65/2.55 fof(f5799,plain,(
% 16.65/2.55 $false|~spl0_180|~spl0_33|~spl0_19|~spl0_90),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f5798,f5257])).
% 16.65/2.55 fof(f5800,plain,(
% 16.65/2.55 ~spl0_180|~spl0_33|~spl0_19|~spl0_90),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f5799])).
% 16.65/2.55 fof(f5819,plain,(
% 16.65/2.55 ![X0]: (~c_member(X0,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_93,v_x),v_L)|~spl0_19|~spl0_197)),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2490,f5605])).
% 16.65/2.55 fof(f5820,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_93),v_L)|~spl0_19|~spl0_197),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f2490,f5597])).
% 16.65/2.55 fof(f5821,plain,(
% 16.65/2.55 spl0_11|~spl0_19|~spl0_197),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5820,f2288,f2489,f5596])).
% 16.65/2.55 fof(f5842,plain,(
% 16.65/2.55 $false|~spl0_19|~spl0_197|~spl0_6),
% 16.65/2.55 inference(backward_subsumption_resolution,[status(thm)],[f2269,f5819])).
% 16.65/2.55 fof(f5843,plain,(
% 16.65/2.55 ~spl0_19|~spl0_197|~spl0_6),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f5842])).
% 16.65/2.55 fof(f5875,plain,(
% 16.65/2.55 spl0_206 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_99(sk0_92,v_x)),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5885,plain,(
% 16.65/2.55 spl0_208 <=> sk0_99(sk0_92,v_x)=v_y),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5968,plain,(
% 16.65/2.55 spl0_209 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,v_y,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5971,plain,(
% 16.65/2.55 c_member(tc_Arrow__Order__Mirabelle_Oalt,v_y,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|v_y=v_x|~spl0_49),
% 16.65/2.55 inference(resolution,[status(thm)],[f5330,f4368])).
% 16.65/2.55 fof(f5972,plain,(
% 16.65/2.55 spl0_209|spl0_13|~spl0_49),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5971,f5968,f2403,f2761])).
% 16.65/2.55 fof(f5973,plain,(
% 16.65/2.55 spl0_210 <=> v_x=X0|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_93),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5976,plain,(
% 16.65/2.55 ![X0]: (c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|v_x=X0|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_93),v_L)|~spl0_6)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5330,f5438])).
% 16.65/2.55 fof(f5977,plain,(
% 16.65/2.55 spl0_183|spl0_210|~spl0_6),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5976,f5316,f5973,f2268])).
% 16.65/2.55 fof(f5978,plain,(
% 16.65/2.55 spl0_211 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_92,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5986,plain,(
% 16.65/2.55 spl0_213 <=> 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,X0,v_x),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f5987,plain,(
% 16.65/2.55 ![X0]: (sk0_92=X0|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|~spl0_213)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f5986])).
% 16.65/2.55 fof(f5989,plain,(
% 16.65/2.55 ![X0]: (c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_92,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|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,X0,v_x),v_L)|~spl0_33)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5330,f4912])).
% 16.65/2.55 fof(f5990,plain,(
% 16.65/2.55 spl0_211|spl0_213|~spl0_33),
% 16.65/2.55 inference(split_clause,[status(thm)],[f5989,f5978,f5986,f2547])).
% 16.65/2.55 fof(f5994,plain,(
% 16.65/2.55 spl0_214 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_100(sk0_92,sk0_91)),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6014,plain,(
% 16.65/2.55 sk0_92=sk0_93|~spl0_213|~spl0_6),
% 16.65/2.55 inference(resolution,[status(thm)],[f5987,f2269])).
% 16.65/2.55 fof(f6015,plain,(
% 16.65/2.55 spl0_192|~spl0_213|~spl0_6),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6014,f5517,f5986,f2268])).
% 16.65/2.55 fof(f6016,plain,(
% 16.65/2.55 spl0_215 <=> sk0_92=sk0_99(X0,v_x)|v_x=sk0_99(X0,v_x)|pd0_7(X0,v_x)|~pd0_4(X0,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6019,plain,(
% 16.65/2.55 ![X0]: (sk0_92=sk0_99(X0,v_x)|v_x=sk0_99(X0,v_x)|pd0_7(X0,v_x)|~pd0_4(X0,v_x)|v_x=v_y|~spl0_213)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5987,f2973])).
% 16.65/2.55 fof(f6020,plain,(
% 16.65/2.55 spl0_215|spl0_13|~spl0_213),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6019,f6016,f2403,f5986])).
% 16.65/2.55 fof(f6023,plain,(
% 16.65/2.55 spl0_216 <=> sk0_92=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|~pd0_5(X0,v_x)|X0=v_y),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6024,plain,(
% 16.65/2.55 ![X0]: (sk0_92=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|~pd0_5(X0,v_x)|X0=v_y|~spl0_216)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f6023])).
% 16.65/2.55 fof(f6026,plain,(
% 16.65/2.55 ![X0]: (sk0_92=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|~v_x=v_x|~pd0_5(X0,v_x)|X0=v_y|~spl0_213)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5987,f3154])).
% 16.65/2.55 fof(f6027,plain,(
% 16.65/2.55 spl0_216|~spl0_15|~spl0_213),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6026,f6023,f2439,f5986])).
% 16.65/2.55 fof(f6028,plain,(
% 16.65/2.55 spl0_217 <=> ~sk0_100(X0,v_x)=v_y|sk0_101(X0,v_x)=v_y|~pd0_5(X0,v_x)|X0=v_y),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6031,plain,(
% 16.65/2.55 ![X0]: (sk0_92=v_x|~sk0_100(X0,v_x)=v_y|sk0_101(X0,v_x)=v_y|~pd0_5(X0,v_x)|X0=v_y|~spl0_213)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5987,f3936])).
% 16.65/2.55 fof(f6032,plain,(
% 16.65/2.55 spl0_92|spl0_217|~spl0_213),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6031,f3524,f6028,f5986])).
% 16.65/2.55 fof(f6042,plain,(
% 16.65/2.55 spl0_218 <=> sk0_92=sk0_16(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6043,plain,(
% 16.65/2.55 sk0_92=sk0_16(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_218),
% 16.65/2.55 inference(component_clause,[status(thm)],[f6042])).
% 16.65/2.55 fof(f6045,plain,(
% 16.65/2.55 sk0_92=sk0_16(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L)|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~spl0_213),
% 16.65/2.55 inference(resolution,[status(thm)],[f5987,f776])).
% 16.65/2.55 fof(f6046,plain,(
% 16.65/2.55 spl0_218|~spl0_183|~spl0_213),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6045,f6042,f5316,f5986])).
% 16.65/2.55 fof(f6047,plain,(
% 16.65/2.55 sk0_92=v_x|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_213),
% 16.65/2.55 inference(resolution,[status(thm)],[f5987,f569])).
% 16.65/2.55 fof(f6048,plain,(
% 16.65/2.55 spl0_92|~spl0_115|~spl0_213),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6047,f3524,f3789,f5986])).
% 16.65/2.55 fof(f6050,plain,(
% 16.65/2.55 spl0_219 <=> sk0_92=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|X0=v_y|~pd0_4(X0,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6053,plain,(
% 16.65/2.55 ![X0]: (sk0_92=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|X0=v_y|~pd0_4(X0,v_x)|v_x=v_y|~spl0_216)),
% 16.65/2.55 inference(resolution,[status(thm)],[f6024,f2200])).
% 16.65/2.55 fof(f6054,plain,(
% 16.65/2.55 spl0_219|spl0_13|~spl0_216),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6053,f6050,f2403,f6023])).
% 16.65/2.55 fof(f6109,plain,(
% 16.65/2.55 spl0_223 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_91,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6127,plain,(
% 16.65/2.55 spl0_224 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|sk0_91=X0),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6128,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|sk0_91=X0|~spl0_224)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f6127])).
% 16.65/2.55 fof(f6130,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)|c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_91,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|sk0_91=X0|spl0_27)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5588,f5330])).
% 16.65/2.55 fof(f6131,plain,(
% 16.65/2.55 spl0_224|spl0_223|spl0_27),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6130,f6127,f6109,f2519])).
% 16.65/2.55 fof(f6143,plain,(
% 16.65/2.55 sk0_91=sk0_93|~spl0_224|~spl0_6),
% 16.65/2.55 inference(resolution,[status(thm)],[f6128,f2269])).
% 16.65/2.55 fof(f6144,plain,(
% 16.65/2.55 spl0_187|~spl0_224|~spl0_6),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6143,f5442,f6127,f2268])).
% 16.65/2.55 fof(f6147,plain,(
% 16.65/2.55 spl0_225 <=> sk0_91=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|~pd0_5(X0,v_x)|X0=v_y),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6148,plain,(
% 16.65/2.55 ![X0]: (sk0_91=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|~pd0_5(X0,v_x)|X0=v_y|~spl0_225)),
% 16.65/2.55 inference(component_clause,[status(thm)],[f6147])).
% 16.65/2.55 fof(f6150,plain,(
% 16.65/2.55 ![X0]: (sk0_91=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|~v_x=v_x|~pd0_5(X0,v_x)|X0=v_y|~spl0_224)),
% 16.65/2.55 inference(resolution,[status(thm)],[f6128,f3154])).
% 16.65/2.55 fof(f6151,plain,(
% 16.65/2.55 spl0_225|~spl0_15|~spl0_224),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6150,f6147,f2439,f6127])).
% 16.65/2.55 fof(f6152,plain,(
% 16.65/2.55 ![X0]: (sk0_91=v_x|~sk0_100(X0,v_x)=v_y|sk0_101(X0,v_x)=v_y|~pd0_5(X0,v_x)|X0=v_y|~spl0_224)),
% 16.65/2.55 inference(resolution,[status(thm)],[f6128,f3936])).
% 16.65/2.55 fof(f6153,plain,(
% 16.65/2.55 spl0_19|spl0_217|~spl0_224),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6152,f2489,f6028,f6127])).
% 16.65/2.55 fof(f6163,plain,(
% 16.65/2.55 spl0_226 <=> sk0_91=sk0_16(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6164,plain,(
% 16.65/2.55 sk0_91=sk0_16(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_226),
% 16.65/2.55 inference(component_clause,[status(thm)],[f6163])).
% 16.65/2.55 fof(f6166,plain,(
% 16.65/2.55 sk0_91=sk0_16(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L)|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~spl0_224),
% 16.65/2.55 inference(resolution,[status(thm)],[f6128,f776])).
% 16.65/2.55 fof(f6167,plain,(
% 16.65/2.55 spl0_226|~spl0_183|~spl0_224),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6166,f6163,f5316,f6127])).
% 16.65/2.55 fof(f6168,plain,(
% 16.65/2.55 sk0_91=v_x|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_224),
% 16.65/2.55 inference(resolution,[status(thm)],[f6128,f569])).
% 16.65/2.55 fof(f6169,plain,(
% 16.65/2.55 spl0_19|~spl0_115|~spl0_224),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6168,f2489,f3789,f6127])).
% 16.65/2.55 fof(f6171,plain,(
% 16.65/2.55 sk0_92=sk0_91|~spl0_226|~spl0_218),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f6164,f6043])).
% 16.65/2.55 fof(f6173,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_91),v_L)|~spl0_226|~spl0_218|~spl0_28),
% 16.65/2.55 inference(backward_demodulation,[status(thm)],[f6171,f2525])).
% 16.65/2.55 fof(f6174,plain,(
% 16.65/2.55 $false|~spl0_226|~spl0_218|~spl0_28),
% 16.65/2.55 inference(forward_subsumption_resolution,[status(thm)],[f6173,f4271])).
% 16.65/2.55 fof(f6175,plain,(
% 16.65/2.55 ~spl0_226|~spl0_218|~spl0_28),
% 16.65/2.55 inference(contradiction_clause,[status(thm)],[f6174])).
% 16.65/2.55 fof(f6243,plain,(
% 16.65/2.55 spl0_227 <=> sk0_91=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|X0=v_y|~pd0_4(X0,v_x)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6246,plain,(
% 16.65/2.55 ![X0]: (sk0_91=sk0_100(X0,v_x)|v_x=sk0_100(X0,v_x)|X0=v_y|~pd0_4(X0,v_x)|v_x=v_y|~spl0_225)),
% 16.65/2.55 inference(resolution,[status(thm)],[f6148,f2200])).
% 16.65/2.55 fof(f6247,plain,(
% 16.65/2.55 spl0_227|spl0_13|~spl0_225),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6246,f6243,f2403,f6147])).
% 16.65/2.55 fof(f6301,plain,(
% 16.65/2.55 spl0_229 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_100(sk0_92,v_x)),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6304,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_100(sk0_92,v_x)),v_L)|~v_x=v_x|sk0_92=v_y|~spl0_165)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5050,f3562])).
% 16.65/2.55 fof(f6305,plain,(
% 16.65/2.55 spl0_229|~spl0_15|spl0_20|~spl0_165),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6304,f6301,f2439,f2492,f5049])).
% 16.65/2.55 fof(f6308,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_99(sk0_92,v_x)),v_L)|pd0_7(sk0_92,v_x)|~spl0_165)),
% 16.65/2.55 inference(resolution,[status(thm)],[f5050,f2707])).
% 16.65/2.55 fof(f6309,plain,(
% 16.65/2.55 spl0_206|spl0_167|~spl0_165),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6308,f5875,f5059,f5049])).
% 16.65/2.55 fof(f6312,plain,(
% 16.65/2.55 pd0_7(sk0_92,v_x)|~sk0_99(sk0_92,v_x)=v_y|~spl0_165),
% 16.65/2.55 inference(resolution,[status(thm)],[f5050,f2213])).
% 16.65/2.55 fof(f6313,plain,(
% 16.65/2.55 spl0_167|~spl0_208|~spl0_165),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6312,f5059,f5885,f5049])).
% 16.65/2.55 fof(f6314,plain,(
% 16.65/2.55 pd0_7(sk0_92,v_x)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_165),
% 16.65/2.55 inference(resolution,[status(thm)],[f5050,f2210])).
% 16.65/2.55 fof(f6315,plain,(
% 16.65/2.55 spl0_167|spl0_146|~spl0_165),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6314,f5059,f4744,f5049])).
% 16.65/2.55 fof(f6320,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_92),v_L)|sk0_92=v_y|~spl0_165),
% 16.65/2.55 inference(resolution,[status(thm)],[f5050,f2386])).
% 16.65/2.55 fof(f6321,plain,(
% 16.65/2.55 spl0_33|spl0_20|~spl0_165),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6320,f2547,f2492,f5049])).
% 16.65/2.55 fof(f6322,plain,(
% 16.65/2.55 ~v_x=v_x|sk0_92=v_y|~sk0_100(sk0_92,v_x)=v_y|~spl0_165),
% 16.65/2.55 inference(resolution,[status(thm)],[f5050,f2413])).
% 16.65/2.55 fof(f6323,plain,(
% 16.65/2.55 ~spl0_15|spl0_20|~spl0_166|~spl0_165),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6322,f2439,f2492,f5056,f5049])).
% 16.65/2.55 fof(f6421,plain,(
% 16.65/2.55 sk0_91=sk0_100(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),sk0_91),v_L)|pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_34),
% 16.65/2.55 inference(resolution,[status(thm)],[f2553,f2463])).
% 16.65/2.55 fof(f6422,plain,(
% 16.65/2.55 spl0_89|spl0_90|spl0_23|~spl0_34),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6421,f3444,f3447,f2503,f2552])).
% 16.65/2.55 fof(f6423,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_100(sk0_92,sk0_91)),v_L)|pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~spl0_34)),
% 16.65/2.55 inference(resolution,[status(thm)],[f2553,f2711])).
% 16.65/2.55 fof(f6424,plain,(
% 16.65/2.55 spl0_214|spl0_23|~spl0_34),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6423,f5994,f2503,f2552])).
% 16.65/2.55 fof(f6425,plain,(
% 16.65/2.55 spl0_231 <=> c_member(tc_prod(tc_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)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6426,plain,(
% 16.65/2.55 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_231),
% 16.65/2.55 inference(component_clause,[status(thm)],[f6425])).
% 16.65/2.55 fof(f6427,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)|spl0_231),
% 16.65/2.55 inference(component_clause,[status(thm)],[f6425])).
% 16.65/2.55 fof(f6428,plain,(
% 16.65/2.55 pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_34),
% 16.65/2.55 inference(resolution,[status(thm)],[f2553,f2241])).
% 16.65/2.55 fof(f6429,plain,(
% 16.65/2.55 spl0_23|~spl0_231|~spl0_34),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6428,f2503,f6425,f2552])).
% 16.65/2.55 fof(f6430,plain,(
% 16.65/2.55 pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|~sk0_100(sk0_92,sk0_91)=v_y|~spl0_34),
% 16.65/2.55 inference(resolution,[status(thm)],[f2553,f2240])).
% 16.65/2.55 fof(f6431,plain,(
% 16.65/2.55 spl0_23|~spl0_21|~spl0_34),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6430,f2503,f2495,f2552])).
% 16.65/2.55 fof(f6432,plain,(
% 16.65/2.55 pd0_10(sk0_100(sk0_92,sk0_91),sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_34),
% 16.65/2.55 inference(resolution,[status(thm)],[f2553,f2239])).
% 16.65/2.55 fof(f6433,plain,(
% 16.65/2.55 spl0_23|spl0_24|~spl0_34),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6432,f2503,f2506,f2552])).
% 16.65/2.55 fof(f6434,plain,(
% 16.65/2.55 c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_91,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|sk0_91=sk0_100(sk0_92,sk0_91)|spl0_231),
% 16.65/2.55 inference(resolution,[status(thm)],[f6427,f5330])).
% 16.65/2.55 fof(f6435,plain,(
% 16.65/2.55 spl0_223|spl0_89|spl0_231),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6434,f6109,f3444,f6425])).
% 16.65/2.55 fof(f6436,plain,(
% 16.65/2.55 spl0_232 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_100(sk0_92,sk0_91)),sk0_91))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6439,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_100(sk0_92,sk0_91)),sk0_91))|sk0_91=sk0_100(sk0_92,sk0_91)|spl0_231),
% 16.65/2.55 inference(resolution,[status(thm)],[f6427,f2955])).
% 16.65/2.55 fof(f6440,plain,(
% 16.65/2.55 spl0_232|spl0_89|spl0_231),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6439,f6436,f3444,f6425])).
% 16.65/2.55 fof(f6441,plain,(
% 16.65/2.55 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_231),
% 16.65/2.55 inference(resolution,[status(thm)],[f6427,f2154])).
% 16.65/2.55 fof(f6442,plain,(
% 16.65/2.55 spl0_89|spl0_90|spl0_231),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6441,f3444,f3447,f6425])).
% 16.65/2.55 fof(f6446,plain,(
% 16.65/2.55 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),v_x),v_L)|~spl0_231|spl0_27),
% 16.65/2.55 inference(resolution,[status(thm)],[f6426,f5588])).
% 16.65/2.55 fof(f6449,plain,(
% 16.65/2.55 spl0_233 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6452,plain,(
% 16.65/2.55 spl0_234 <=> sk0_100(sk0_92,sk0_91)=v_x),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6453,plain,(
% 16.65/2.55 sk0_100(sk0_92,sk0_91)=v_x|~spl0_234),
% 16.65/2.55 inference(component_clause,[status(thm)],[f6452])).
% 16.65/2.55 fof(f6455,plain,(
% 16.65/2.55 c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_100(sk0_92,sk0_91),c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|sk0_100(sk0_92,sk0_91)=v_x|~spl0_231|spl0_27),
% 16.65/2.55 inference(resolution,[status(thm)],[f6446,f5330])).
% 16.65/2.55 fof(f6456,plain,(
% 16.65/2.55 spl0_233|spl0_234|~spl0_231|spl0_27),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6455,f6449,f6452,f6425,f2519])).
% 16.65/2.55 fof(f6457,plain,(
% 16.65/2.55 spl0_235 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_100(sk0_92,sk0_91)))),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6460,plain,(
% 16.65/2.55 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_x),sk0_100(sk0_92,sk0_91)))|sk0_100(sk0_92,sk0_91)=v_x|~spl0_231|spl0_27),
% 16.65/2.55 inference(resolution,[status(thm)],[f6446,f2955])).
% 16.65/2.55 fof(f6461,plain,(
% 16.65/2.55 spl0_235|spl0_234|~spl0_231|spl0_27),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6460,f6457,f6452,f6425,f2519])).
% 16.65/2.55 fof(f6463,plain,(
% 16.65/2.55 spl0_236 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_100(sk0_92,sk0_91)),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6466,plain,(
% 16.65/2.55 v_x=sk0_100(sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_100(sk0_92,sk0_91)),v_L)|~spl0_231|spl0_27),
% 16.65/2.55 inference(resolution,[status(thm)],[f6446,f2154])).
% 16.65/2.55 fof(f6467,plain,(
% 16.65/2.55 spl0_234|spl0_236|~spl0_231|spl0_27),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6466,f6452,f6463,f6425,f2519])).
% 16.65/2.55 fof(f6476,plain,(
% 16.65/2.55 pd0_10(sk0_91,sk0_92,sk0_91)|~spl0_89|~spl0_23),
% 16.65/2.55 inference(forward_demodulation,[status(thm)],[f3445,f2504])).
% 16.65/2.55 fof(f6487,plain,(
% 16.65/2.55 spl0_237 <=> pd0_10(sk0_91,sk0_92,sk0_91)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6488,plain,(
% 16.65/2.55 pd0_10(sk0_91,sk0_92,sk0_91)|~spl0_237),
% 16.65/2.55 inference(component_clause,[status(thm)],[f6487])).
% 16.65/2.55 fof(f6492,plain,(
% 16.65/2.55 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_91,sk0_91),v_L)|pd0_10(sk0_91,sk0_92,sk0_91)|~spl0_89|~spl0_34),
% 16.65/2.55 inference(resolution,[status(thm)],[f4980,f2463])).
% 16.65/2.55 fof(f6493,plain,(
% 16.65/2.55 spl0_195|spl0_69|spl0_237|~spl0_89|~spl0_34),
% 16.65/2.55 inference(split_clause,[status(thm)],[f6492,f5577,f3121,f6487,f3444,f2552])).
% 16.65/2.55 fof(f6494,plain,(
% 16.65/2.55 spl0_238 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)),
% 16.65/2.55 introduced(split_symbol_definition)).
% 16.65/2.55 fof(f6497,plain,(
% 16.65/2.55 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|pd0_10(sk0_91,sk0_92,sk0_91)|~spl0_89|~spl0_34)),
% 16.65/2.56 inference(resolution,[status(thm)],[f4980,f2711])).
% 16.65/2.56 fof(f6498,plain,(
% 16.65/2.56 spl0_238|spl0_237|~spl0_89|~spl0_34),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6497,f6494,f6487,f3444,f2552])).
% 16.65/2.56 fof(f6499,plain,(
% 16.65/2.56 pd0_10(sk0_91,sk0_92,sk0_91)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,sk0_91),v_L)|~spl0_89|~spl0_34),
% 16.65/2.56 inference(resolution,[status(thm)],[f4980,f2241])).
% 16.65/2.56 fof(f6500,plain,(
% 16.65/2.56 spl0_237|~spl0_69|~spl0_89|~spl0_34),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6499,f6487,f3121,f3444,f2552])).
% 16.65/2.56 fof(f6501,plain,(
% 16.65/2.56 pd0_10(sk0_91,sk0_92,sk0_91)|~sk0_91=v_y|~spl0_89|~spl0_34),
% 16.65/2.56 inference(resolution,[status(thm)],[f4980,f2240])).
% 16.65/2.56 fof(f6502,plain,(
% 16.65/2.56 spl0_237|~spl0_22|~spl0_89|~spl0_34),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6501,f6487,f2498,f3444,f2552])).
% 16.65/2.56 fof(f6503,plain,(
% 16.65/2.56 pd0_10(sk0_91,sk0_92,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_91),v_L)|~spl0_89|~spl0_34),
% 16.65/2.56 inference(resolution,[status(thm)],[f4980,f2239])).
% 16.65/2.56 fof(f6504,plain,(
% 16.65/2.56 spl0_237|spl0_160|~spl0_89|~spl0_34),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6503,f6487,f4947,f3444,f2552])).
% 16.65/2.56 fof(f6511,plain,(
% 16.65/2.56 sk0_91=v_y|~spl0_89|~spl0_23),
% 16.65/2.56 inference(resolution,[status(thm)],[f6476,f2244])).
% 16.65/2.56 fof(f6512,plain,(
% 16.65/2.56 spl0_22|~spl0_89|~spl0_23),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6511,f2498,f3444,f2503])).
% 16.65/2.56 fof(f6513,plain,(
% 16.65/2.56 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,v_x),v_L)|~spl0_234|~spl0_231),
% 16.65/2.56 inference(backward_demodulation,[status(thm)],[f6453,f6426])).
% 16.65/2.56 fof(f6514,plain,(
% 16.65/2.56 spl0_27|~spl0_234|~spl0_231),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6513,f2519,f6452,f6425])).
% 16.65/2.56 fof(f6535,plain,(
% 16.65/2.56 c_member(tc_prod(tc_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_89|~spl0_24),
% 16.65/2.56 inference(backward_demodulation,[status(thm)],[f3445,f2507])).
% 16.65/2.56 fof(f6536,plain,(
% 16.65/2.56 $false|~spl0_28|~spl0_89|~spl0_24),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f6535,f4337])).
% 16.65/2.56 fof(f6537,plain,(
% 16.65/2.56 ~spl0_28|~spl0_89|~spl0_24),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f6536])).
% 16.65/2.56 fof(f6538,plain,(
% 16.65/2.56 sk0_92=v_x|~spl0_237),
% 16.65/2.56 inference(resolution,[status(thm)],[f6488,f2243])).
% 16.65/2.56 fof(f6539,plain,(
% 16.65/2.56 spl0_92|~spl0_237),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6538,f3524,f6487])).
% 16.65/2.56 fof(f6540,plain,(
% 16.65/2.56 sk0_91=v_y|~spl0_237),
% 16.65/2.56 inference(resolution,[status(thm)],[f6488,f2244])).
% 16.65/2.56 fof(f6541,plain,(
% 16.65/2.56 spl0_22|~spl0_237),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6540,f2498,f6487])).
% 16.65/2.56 fof(f6544,plain,(
% 16.65/2.56 sk0_92=v_x|~spl0_179),
% 16.65/2.56 inference(resolution,[status(thm)],[f5239,f2243])).
% 16.65/2.56 fof(f6545,plain,(
% 16.65/2.56 spl0_92|~spl0_179),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6544,f3524,f5238])).
% 16.65/2.56 fof(f6559,plain,(
% 16.65/2.56 sk0_92=v_x|~spl0_23),
% 16.65/2.56 inference(resolution,[status(thm)],[f2504,f2243])).
% 16.65/2.56 fof(f6560,plain,(
% 16.65/2.56 spl0_92|~spl0_23),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6559,f3524,f2503])).
% 16.65/2.56 fof(f6561,plain,(
% 16.65/2.56 sk0_100(sk0_92,sk0_91)=v_y|~spl0_23),
% 16.65/2.56 inference(resolution,[status(thm)],[f2504,f2244])).
% 16.65/2.56 fof(f6562,plain,(
% 16.65/2.56 $false|spl0_21|~spl0_23),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f6561,f2497])).
% 16.65/2.56 fof(f6563,plain,(
% 16.65/2.56 spl0_21|~spl0_23),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f6562])).
% 16.65/2.56 fof(f6620,plain,(
% 16.65/2.56 c_member(tc_prod(tc_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_22|~spl0_197),
% 16.65/2.56 inference(backward_demodulation,[status(thm)],[f2499,f5597])).
% 16.65/2.56 fof(f6621,plain,(
% 16.65/2.56 $false|~spl0_190|~spl0_22|~spl0_197),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f6620,f5548])).
% 16.65/2.56 fof(f6622,plain,(
% 16.65/2.56 ~spl0_190|~spl0_22|~spl0_197),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f6621])).
% 16.65/2.56 fof(f6663,plain,(
% 16.65/2.56 v_y=sk0_93|~spl0_22|~spl0_187),
% 16.65/2.56 inference(forward_demodulation,[status(thm)],[f2499,f5443])).
% 16.65/2.56 fof(f6664,plain,(
% 16.65/2.56 $false|spl0_5|~spl0_22|~spl0_187),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f6663,f2266])).
% 16.65/2.56 fof(f6665,plain,(
% 16.65/2.56 spl0_5|~spl0_22|~spl0_187),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f6664])).
% 16.65/2.56 fof(f6687,plain,(
% 16.65/2.56 spl0_239 <=> v_x=sk0_97(sk0_92,v_y)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f6688,plain,(
% 16.65/2.56 v_x=sk0_97(sk0_92,v_y)|~spl0_239),
% 16.65/2.56 inference(component_clause,[status(thm)],[f6687])).
% 16.65/2.56 fof(f6690,plain,(
% 16.65/2.56 spl0_240 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f6691,plain,(
% 16.65/2.56 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)|~spl0_240),
% 16.65/2.56 inference(component_clause,[status(thm)],[f6690])).
% 16.65/2.56 fof(f6693,plain,(
% 16.65/2.56 v_x=sk0_97(sk0_92,v_y)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_97(sk0_92,v_y),v_x),v_L)|pd0_8(sk0_97(sk0_92,v_y),sk0_92)|~spl0_22|~spl0_30),
% 16.65/2.56 inference(resolution,[status(thm)],[f4576,f2447])).
% 16.65/2.56 fof(f6694,plain,(
% 16.65/2.56 spl0_239|spl0_240|spl0_35|~spl0_22|~spl0_30),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6693,f6687,f6690,f2580,f2498,f2534])).
% 16.65/2.56 fof(f6709,plain,(
% 16.65/2.56 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_239|~spl0_240),
% 16.65/2.56 inference(forward_demodulation,[status(thm)],[f6688,f6691])).
% 16.65/2.56 fof(f6710,plain,(
% 16.65/2.56 $false|~spl0_239|~spl0_240),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f6709,f4271])).
% 16.65/2.56 fof(f6711,plain,(
% 16.65/2.56 ~spl0_239|~spl0_240),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f6710])).
% 16.65/2.56 fof(f6714,plain,(
% 16.65/2.56 c_member(tc_prod(tc_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_239|~spl0_36),
% 16.65/2.56 inference(backward_demodulation,[status(thm)],[f6688,f2584])).
% 16.65/2.56 fof(f6715,plain,(
% 16.65/2.56 spl0_31|~spl0_239|~spl0_36),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6714,f2537,f6687,f2583])).
% 16.65/2.56 fof(f6727,plain,(
% 16.65/2.56 ~spl0_240|~spl0_33|~spl0_36),
% 16.65/2.56 inference(split_clause,[status(thm)],[f4883,f6690,f2547,f2583])).
% 16.65/2.56 fof(f6745,plain,(
% 16.65/2.56 ~c_member(tc_prod(tc_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_28|spl0_27),
% 16.65/2.56 inference(resolution,[status(thm)],[f2525,f5588])).
% 16.65/2.56 fof(f6746,plain,(
% 16.65/2.56 ~spl0_31|~spl0_28|spl0_27),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6745,f2537,f2524,f2519])).
% 16.65/2.56 fof(f6751,plain,(
% 16.65/2.56 ~c_member(tc_prod(tc_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_91|~spl0_28),
% 16.65/2.56 inference(resolution,[status(thm)],[f3469,f2525])).
% 16.65/2.56 fof(f6752,plain,(
% 16.65/2.56 ~spl0_31|~spl0_91|~spl0_28),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6751,f2537,f3468,f2524])).
% 16.65/2.56 fof(f6762,plain,(
% 16.65/2.56 $false|spl0_15),
% 16.65/2.56 inference(trivial_equality_resolution,[status(esa)],[f2441])).
% 16.65/2.56 fof(f6763,plain,(
% 16.65/2.56 spl0_15),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f6762])).
% 16.65/2.56 fof(f6852,plain,(
% 16.65/2.56 spl0_245 <=> pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f6853,plain,(
% 16.65/2.56 pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)|~spl0_245),
% 16.65/2.56 inference(component_clause,[status(thm)],[f6852])).
% 16.65/2.56 fof(f6857,plain,(
% 16.65/2.56 spl0_246 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,sk0_91)),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f6860,plain,(
% 16.65/2.56 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_97(sk0_92,sk0_91)),v_L)|pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)|~spl0_30)),
% 16.65/2.56 inference(resolution,[status(thm)],[f2535,f2706])).
% 16.65/2.56 fof(f6861,plain,(
% 16.65/2.56 spl0_246|spl0_245|~spl0_30),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6860,f6857,f6852,f2534])).
% 16.65/2.56 fof(f6862,plain,(
% 16.65/2.56 spl0_247 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,sk0_91)),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f6865,plain,(
% 16.65/2.56 pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_97(sk0_92,sk0_91)),v_L)|~spl0_30),
% 16.65/2.56 inference(resolution,[status(thm)],[f2535,f2220])).
% 16.65/2.56 fof(f6866,plain,(
% 16.65/2.56 spl0_245|~spl0_247|~spl0_30),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6865,f6852,f6862,f2534])).
% 16.65/2.56 fof(f6867,plain,(
% 16.65/2.56 spl0_248 <=> c_member(tc_prod(tc_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)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f6870,plain,(
% 16.65/2.56 pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_92,sk0_97(sk0_92,sk0_91)),v_L)|~spl0_30),
% 16.65/2.56 inference(resolution,[status(thm)],[f2535,f2218])).
% 16.65/2.56 fof(f6871,plain,(
% 16.65/2.56 spl0_245|spl0_248|~spl0_30),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6870,f6852,f6867,f2534])).
% 16.65/2.56 fof(f6872,plain,(
% 16.65/2.56 spl0_249 <=> sk0_97(sk0_92,sk0_91)=v_y),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f6875,plain,(
% 16.65/2.56 pd0_8(sk0_97(sk0_92,sk0_91),sk0_92)|~sk0_97(sk0_92,sk0_91)=v_y|~spl0_30),
% 16.65/2.56 inference(resolution,[status(thm)],[f2535,f2219])).
% 16.65/2.56 fof(f6876,plain,(
% 16.65/2.56 spl0_245|~spl0_249|~spl0_30),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6875,f6852,f6872,f2534])).
% 16.65/2.56 fof(f6901,plain,(
% 16.65/2.56 sk0_92=v_x|~spl0_245),
% 16.65/2.56 inference(resolution,[status(thm)],[f6853,f2234])).
% 16.65/2.56 fof(f6902,plain,(
% 16.65/2.56 spl0_92|~spl0_245),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6901,f3524,f6852])).
% 16.65/2.56 fof(f6940,plain,(
% 16.65/2.56 ~c_member(tc_prod(tc_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_28|~spl0_24),
% 16.65/2.56 inference(resolution,[status(thm)],[f4958,f2507])).
% 16.65/2.56 fof(f6941,plain,(
% 16.65/2.56 ~spl0_90|~spl0_28|~spl0_24),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6940,f3447,f2524,f2506])).
% 16.65/2.56 fof(f6959,plain,(
% 16.65/2.56 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)|~spl0_92|~spl0_31),
% 16.65/2.56 inference(forward_demodulation,[status(thm)],[f3525,f2538])).
% 16.65/2.56 fof(f6960,plain,(
% 16.65/2.56 $false|~spl0_92|~spl0_31),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f6959,f4271])).
% 16.65/2.56 fof(f6961,plain,(
% 16.65/2.56 ~spl0_92|~spl0_31),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f6960])).
% 16.65/2.56 fof(f6963,plain,(
% 16.65/2.56 pd0_10(sk0_100(v_x,sk0_91),sk0_92,sk0_91)|~spl0_92|~spl0_23),
% 16.65/2.56 inference(forward_demodulation,[status(thm)],[f3525,f2504])).
% 16.65/2.56 fof(f6964,plain,(
% 16.65/2.56 pd0_10(sk0_100(v_x,sk0_91),v_x,sk0_91)|~spl0_92|~spl0_23),
% 16.65/2.56 inference(forward_demodulation,[status(thm)],[f3525,f6963])).
% 16.65/2.56 fof(f6965,plain,(
% 16.65/2.56 $false|~spl0_27|~spl0_92|~spl0_23),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f6964,f2697])).
% 16.65/2.56 fof(f6966,plain,(
% 16.65/2.56 ~spl0_27|~spl0_92|~spl0_23),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f6965])).
% 16.65/2.56 fof(f6968,plain,(
% 16.65/2.56 ~sk0_92=v_y|~spl0_167),
% 16.65/2.56 inference(resolution,[status(thm)],[f5060,f2228])).
% 16.65/2.56 fof(f6969,plain,(
% 16.65/2.56 ~spl0_20|~spl0_167),
% 16.65/2.56 inference(split_clause,[status(thm)],[f6968,f2492,f5059])).
% 16.65/2.56 fof(f6984,plain,(
% 16.65/2.56 ~c_member(tc_prod(tc_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_20|spl0_202),
% 16.65/2.56 inference(forward_demodulation,[status(thm)],[f2493,f5686])).
% 16.65/2.56 fof(f7011,plain,(
% 16.65/2.56 ~pd0_5(v_y,v_x)|~spl0_20|spl0_165),
% 16.65/2.56 inference(forward_demodulation,[status(thm)],[f2493,f5051])).
% 16.65/2.56 fof(f7013,plain,(
% 16.65/2.56 ~c_member(tc_prod(tc_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_20|spl0_28),
% 16.65/2.56 inference(backward_demodulation,[status(thm)],[f2493,f2526])).
% 16.65/2.56 fof(f7028,plain,(
% 16.65/2.56 ~pd0_4(v_y,v_x)|v_x=v_y|~spl0_20|spl0_165),
% 16.65/2.56 inference(resolution,[status(thm)],[f7011,f2200])).
% 16.65/2.56 fof(f7029,plain,(
% 16.65/2.56 ~spl0_161|spl0_13|~spl0_20|spl0_165),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7028,f5025,f2403,f2492,f5049])).
% 16.65/2.56 fof(f7031,plain,(
% 16.65/2.56 c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|v_x=v_y|~spl0_47),
% 16.65/2.56 inference(resolution,[status(thm)],[f4318,f5330])).
% 16.65/2.56 fof(f7032,plain,(
% 16.65/2.56 spl0_183|spl0_13|~spl0_47),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7031,f5316,f2403,f2751])).
% 16.65/2.56 fof(f7042,plain,(
% 16.65/2.56 c_member(tc_Arrow__Order__Mirabelle_Oalt,v_y,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|v_y=sk0_93|~spl0_20|spl0_202),
% 16.65/2.56 inference(resolution,[status(thm)],[f6984,f5330])).
% 16.65/2.56 fof(f7043,plain,(
% 16.65/2.56 spl0_209|spl0_5|~spl0_20|spl0_202),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7042,f5968,f2264,f2492,f5684])).
% 16.65/2.56 fof(f7055,plain,(
% 16.65/2.56 spl0_250 <=> hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),sk0_91))),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7058,plain,(
% 16.65/2.56 hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),sk0_91))|sk0_91=v_y|~spl0_20|spl0_28),
% 16.65/2.56 inference(resolution,[status(thm)],[f7013,f2955])).
% 16.65/2.56 fof(f7059,plain,(
% 16.65/2.56 spl0_250|spl0_22|~spl0_20|spl0_28),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7058,f7055,f2498,f2492,f2524])).
% 16.65/2.56 fof(f7060,plain,(
% 16.65/2.56 ![X0]: (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_91,X0),v_L)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|~spl0_20|spl0_28)),
% 16.65/2.56 inference(resolution,[status(thm)],[f7013,f2152])).
% 16.65/2.56 fof(f7061,plain,(
% 16.65/2.56 spl0_251 <=> c_member(tc_prod(tc_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)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7064,plain,(
% 16.65/2.56 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)|~spl0_20|spl0_28),
% 16.65/2.56 inference(resolution,[status(thm)],[f7013,f2154])).
% 16.65/2.56 fof(f7065,plain,(
% 16.65/2.56 spl0_22|spl0_251|~spl0_20|spl0_28),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7064,f2498,f7061,f2492,f2524])).
% 16.65/2.56 fof(f7099,plain,(
% 16.65/2.56 spl0_256 <=> sk0_99(v_y,sk0_91)=v_y),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7145,plain,(
% 16.65/2.56 pd0_7(v_y,sk0_91)|~sk0_99(v_y,sk0_91)=v_y|~spl0_45),
% 16.65/2.56 inference(resolution,[status(thm)],[f2746,f2213])).
% 16.65/2.56 fof(f7146,plain,(
% 16.65/2.56 spl0_43|~spl0_256|~spl0_45),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7145,f2733,f7099,f2745])).
% 16.65/2.56 fof(f7214,plain,(
% 16.65/2.56 spl0_260 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_y),v_L)|v_x=X0),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7215,plain,(
% 16.65/2.56 ![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)|v_x=X0|~spl0_260)),
% 16.65/2.56 inference(component_clause,[status(thm)],[f7214])).
% 16.65/2.56 fof(f7230,plain,(
% 16.65/2.56 v_x=sk0_93|~spl0_260|~spl0_190),
% 16.65/2.56 inference(resolution,[status(thm)],[f7215,f5498])).
% 16.65/2.56 fof(f7231,plain,(
% 16.65/2.56 $false|spl0_8|~spl0_1|~spl0_260|~spl0_190),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f7230,f4788])).
% 16.65/2.56 fof(f7232,plain,(
% 16.65/2.56 spl0_8|~spl0_1|~spl0_260|~spl0_190),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f7231])).
% 16.65/2.56 fof(f7358,plain,(
% 16.65/2.56 spl0_261 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_100(v_x,X0),sk0_91),v_L)|~X0=v_x|~pd0_5(v_x,X0)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7361,plain,(
% 16.65/2.56 ![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_x,X0),sk0_91),v_L)|~X0=v_x|~pd0_5(v_x,X0)|v_x=v_y|~spl0_27)),
% 16.65/2.56 inference(resolution,[status(thm)],[f3294,f2415])).
% 16.65/2.56 fof(f7362,plain,(
% 16.65/2.56 spl0_261|spl0_13|~spl0_27),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7361,f7358,f2403,f2519])).
% 16.65/2.56 fof(f7363,plain,(
% 16.65/2.56 spl0_262 <=> ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sk0_91),v_L)|v_x=X0),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7366,plain,(
% 16.65/2.56 ![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_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|v_x=X0|~spl0_27)),
% 16.65/2.56 inference(resolution,[status(thm)],[f3294,f5330])).
% 16.65/2.56 fof(f7367,plain,(
% 16.65/2.56 spl0_262|spl0_183|~spl0_27),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7366,f7363,f5316,f2519])).
% 16.65/2.56 fof(f7378,plain,(
% 16.65/2.56 ![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,v_x,X0),v_L)|~spl0_27)),
% 16.65/2.56 inference(resolution,[status(thm)],[f3294,f3819])).
% 16.65/2.56 fof(f7394,plain,(
% 16.65/2.56 spl0_263 <=> ~c_member(tc_prod(tc_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_91,X0),v_y),v_L)|~X0=v_x|~pd0_5(sk0_91,X0)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7397,plain,(
% 16.65/2.56 ![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_91,X0),v_y),v_L)|~X0=v_x|~pd0_5(sk0_91,X0)|sk0_91=v_y|~spl0_20|spl0_28)),
% 16.65/2.56 inference(resolution,[status(thm)],[f7060,f2415])).
% 16.65/2.56 fof(f7398,plain,(
% 16.65/2.56 spl0_263|spl0_22|~spl0_20|spl0_28),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7397,f7394,f2498,f2492,f2524])).
% 16.65/2.56 fof(f7399,plain,(
% 16.65/2.56 spl0_264 <=> ~c_member(tc_prod(tc_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)|sk0_91=X0),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7400,plain,(
% 16.65/2.56 ![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)|sk0_91=X0|~spl0_264)),
% 16.65/2.56 inference(component_clause,[status(thm)],[f7399])).
% 16.65/2.56 fof(f7402,plain,(
% 16.65/2.56 ![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_Arrow__Order__Mirabelle_Oalt,sk0_91,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|sk0_91=X0|~spl0_20|spl0_28)),
% 16.65/2.56 inference(resolution,[status(thm)],[f7060,f5330])).
% 16.65/2.56 fof(f7403,plain,(
% 16.65/2.56 spl0_264|spl0_223|~spl0_20|spl0_28),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7402,f7399,f6109,f2492,f2524])).
% 16.65/2.56 fof(f7432,plain,(
% 16.65/2.56 spl0_268 <=> ~sk0_100(X0,v_y)=v_y|sk0_101(X0,v_y)=v_y|~pd0_5(X0,v_y)|X0=v_y),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7435,plain,(
% 16.65/2.56 ![X0]: (sk0_91=v_x|~sk0_100(X0,v_y)=v_y|sk0_101(X0,v_y)=v_y|~pd0_5(X0,v_y)|X0=v_y|~spl0_264)),
% 16.65/2.56 inference(resolution,[status(thm)],[f7400,f3936])).
% 16.65/2.56 fof(f7436,plain,(
% 16.65/2.56 spl0_19|spl0_268|~spl0_264),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7435,f2489,f7432,f7399])).
% 16.65/2.56 fof(f7446,plain,(
% 16.65/2.56 spl0_269 <=> sk0_91=sk0_18(tc_Arrow__Order__Mirabelle_Oalt,v_y,tc_Arrow__Order__Mirabelle_Oalt,v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7449,plain,(
% 16.65/2.56 sk0_91=sk0_18(tc_Arrow__Order__Mirabelle_Oalt,v_y,tc_Arrow__Order__Mirabelle_Oalt,v_L)|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_y,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~spl0_264),
% 16.65/2.56 inference(resolution,[status(thm)],[f7400,f816])).
% 16.65/2.56 fof(f7450,plain,(
% 16.65/2.56 spl0_269|~spl0_209|~spl0_264),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7449,f7446,f5968,f7399])).
% 16.65/2.56 fof(f7451,plain,(
% 16.65/2.56 spl0_270 <=> sk0_91=sk0_16(tc_Arrow__Order__Mirabelle_Oalt,v_y,tc_Arrow__Order__Mirabelle_Oalt,v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7454,plain,(
% 16.65/2.56 sk0_91=sk0_16(tc_Arrow__Order__Mirabelle_Oalt,v_y,tc_Arrow__Order__Mirabelle_Oalt,v_L)|~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_y,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~spl0_264),
% 16.65/2.56 inference(resolution,[status(thm)],[f7400,f776])).
% 16.65/2.56 fof(f7455,plain,(
% 16.65/2.56 spl0_270|~spl0_209|~spl0_264),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7454,f7451,f5968,f7399])).
% 16.65/2.56 fof(f7456,plain,(
% 16.65/2.56 sk0_91=v_y|~c_Nitpick_Orefl_H(tc_Arrow__Order__Mirabelle_Oalt,v_L)|~spl0_264),
% 16.65/2.56 inference(resolution,[status(thm)],[f7400,f569])).
% 16.65/2.56 fof(f7457,plain,(
% 16.65/2.56 spl0_22|~spl0_115|~spl0_264),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7456,f2498,f3789,f7399])).
% 16.65/2.56 fof(f7494,plain,(
% 16.65/2.56 spl0_273 <=> ~c_member(tc_prod(tc_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_93,X0),sk0_91),v_L)|~X0=v_x|~pd0_5(sk0_93,X0)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7497,plain,(
% 16.65/2.56 ![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_93,X0),sk0_91),v_L)|~X0=v_x|~pd0_5(sk0_93,X0)|sk0_93=v_y|spl0_188)),
% 16.65/2.56 inference(resolution,[status(thm)],[f5595,f2415])).
% 16.65/2.56 fof(f7498,plain,(
% 16.65/2.56 spl0_273|spl0_5|spl0_188),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7497,f7494,f2264,f5448])).
% 16.65/2.56 fof(f7499,plain,(
% 16.65/2.56 spl0_274 <=> ~c_member(tc_prod(tc_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)|sk0_93=X0),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7502,plain,(
% 16.65/2.56 spl0_275 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7505,plain,(
% 16.65/2.56 ![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_Arrow__Order__Mirabelle_Oalt,sk0_93,c_Relation_ORange(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|sk0_93=X0|spl0_188)),
% 16.65/2.56 inference(resolution,[status(thm)],[f5595,f5330])).
% 16.65/2.56 fof(f7506,plain,(
% 16.65/2.56 spl0_274|spl0_275|spl0_188),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7505,f7499,f7502,f5448])).
% 16.65/2.56 fof(f7517,plain,(
% 16.65/2.56 ![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,sk0_93,X0),v_L)|spl0_188)),
% 16.65/2.56 inference(resolution,[status(thm)],[f5595,f3819])).
% 16.65/2.56 fof(f7684,plain,(
% 16.65/2.56 c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~spl0_6),
% 16.65/2.56 inference(resolution,[status(thm)],[f836,f2269])).
% 16.65/2.56 fof(f7691,plain,(
% 16.65/2.56 spl0_276 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7694,plain,(
% 16.65/2.56 spl0_277 <=> ~pd0_5(X0,X1)|pd0_7(X0,X1)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7695,plain,(
% 16.65/2.56 ![X0,X1]: (~pd0_5(X0,X1)|pd0_7(X0,X1)|~spl0_277)),
% 16.65/2.56 inference(component_clause,[status(thm)],[f7694])).
% 16.65/2.56 fof(f7697,plain,(
% 16.65/2.56 ![X0,X1]: (c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~pd0_5(X0,X1)|pd0_7(X0,X1))),
% 16.65/2.56 inference(resolution,[status(thm)],[f836,f2212])).
% 16.65/2.56 fof(f7698,plain,(
% 16.65/2.56 spl0_276|spl0_277),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7697,f7691,f7694])).
% 16.65/2.56 fof(f7769,plain,(
% 16.65/2.56 spl0_282 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7771,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|spl0_282),
% 16.65/2.56 inference(component_clause,[status(thm)],[f7769])).
% 16.65/2.56 fof(f7772,plain,(
% 16.65/2.56 spl0_283 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_36(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7775,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_36(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_L)|spl0_188),
% 16.65/2.56 inference(resolution,[status(thm)],[f874,f7517])).
% 16.65/2.56 fof(f7776,plain,(
% 16.65/2.56 ~spl0_282|~spl0_283|spl0_188),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7775,f7769,f7772,f5448])).
% 16.65/2.56 fof(f7777,plain,(
% 16.65/2.56 spl0_284 <=> c_member(tc_Arrow__Order__Mirabelle_Oalt,v_y,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7779,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_y,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|spl0_284),
% 16.65/2.56 inference(component_clause,[status(thm)],[f7777])).
% 16.65/2.56 fof(f7785,plain,(
% 16.65/2.56 spl0_286 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_36(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7788,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_36(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_L)|~spl0_27),
% 16.65/2.56 inference(resolution,[status(thm)],[f874,f7378])).
% 16.65/2.56 fof(f7789,plain,(
% 16.65/2.56 ~spl0_276|~spl0_286|~spl0_27),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7788,f7691,f7785,f2519])).
% 16.65/2.56 fof(f7790,plain,(
% 16.65/2.56 spl0_287 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_36(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7793,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_36(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),v_L)|spl0_49),
% 16.65/2.56 inference(resolution,[status(thm)],[f874,f5628])).
% 16.65/2.56 fof(f7794,plain,(
% 16.65/2.56 ~spl0_276|~spl0_287|spl0_49),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7793,f7691,f7790,f2761])).
% 16.65/2.56 fof(f7795,plain,(
% 16.65/2.56 spl0_288 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_36(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7798,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_36(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),v_L)|~spl0_6),
% 16.65/2.56 inference(resolution,[status(thm)],[f874,f5438])).
% 16.65/2.56 fof(f7799,plain,(
% 16.65/2.56 ~spl0_276|~spl0_288|~spl0_6),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7798,f7691,f7795,f2268])).
% 16.65/2.56 fof(f7803,plain,(
% 16.65/2.56 $false|~spl0_6|spl0_282),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f7771,f7684])).
% 16.65/2.56 fof(f7804,plain,(
% 16.65/2.56 ~spl0_6|spl0_282),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f7803])).
% 16.65/2.56 fof(f7807,plain,(
% 16.65/2.56 c_member(tc_Arrow__Order__Mirabelle_Oalt,v_y,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~spl0_47),
% 16.65/2.56 inference(resolution,[status(thm)],[f836,f2752])).
% 16.65/2.56 fof(f7808,plain,(
% 16.65/2.56 spl0_289 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_37(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7811,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_37(tc_Arrow__Order__Mirabelle_Oalt,sk0_93,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_L)|spl0_188),
% 16.65/2.56 inference(resolution,[status(thm)],[f878,f7517])).
% 16.65/2.56 fof(f7812,plain,(
% 16.65/2.56 ~spl0_282|~spl0_289|spl0_188),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7811,f7769,f7808,f5448])).
% 16.65/2.56 fof(f7818,plain,(
% 16.65/2.56 spl0_291 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_37(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7821,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_37(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_91),v_L)|~spl0_27),
% 16.65/2.56 inference(resolution,[status(thm)],[f878,f7378])).
% 16.65/2.56 fof(f7822,plain,(
% 16.65/2.56 ~spl0_276|~spl0_291|~spl0_27),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7821,f7691,f7818,f2519])).
% 16.65/2.56 fof(f7823,plain,(
% 16.65/2.56 spl0_292 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_37(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7826,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_37(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),v_y),v_L)|spl0_49),
% 16.65/2.56 inference(resolution,[status(thm)],[f878,f5628])).
% 16.65/2.56 fof(f7827,plain,(
% 16.65/2.56 ~spl0_276|~spl0_292|spl0_49),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7826,f7691,f7823,f2761])).
% 16.65/2.56 fof(f7828,plain,(
% 16.65/2.56 spl0_293 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_37(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7831,plain,(
% 16.65/2.56 ~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_x,c_Relation_ODomain(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_37(tc_Arrow__Order__Mirabelle_Oalt,v_x,tc_Arrow__Order__Mirabelle_Oalt,v_L),sk0_93),v_L)|~spl0_6),
% 16.65/2.56 inference(resolution,[status(thm)],[f878,f5438])).
% 16.65/2.56 fof(f7832,plain,(
% 16.65/2.56 ~spl0_276|~spl0_293|~spl0_6),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7831,f7691,f7828,f2268])).
% 16.65/2.56 fof(f7836,plain,(
% 16.65/2.56 $false|~spl0_47|spl0_284),
% 16.65/2.56 inference(forward_subsumption_resolution,[status(thm)],[f7779,f7807])).
% 16.65/2.56 fof(f7837,plain,(
% 16.65/2.56 ~spl0_47|spl0_284),
% 16.65/2.56 inference(contradiction_clause,[status(thm)],[f7836])).
% 16.65/2.56 fof(f7853,plain,(
% 16.65/2.56 pd0_7(v_y,sk0_91)|~spl0_277|~spl0_45),
% 16.65/2.56 inference(resolution,[status(thm)],[f7695,f2746])).
% 16.65/2.56 fof(f7854,plain,(
% 16.65/2.56 spl0_43|~spl0_277|~spl0_45),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7853,f2733,f7694,f2745])).
% 16.65/2.56 fof(f7866,plain,(
% 16.65/2.56 spl0_296 <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(v_y,sk0_91)),v_L)),
% 16.65/2.56 introduced(split_symbol_definition)).
% 16.65/2.56 fof(f7867,plain,(
% 16.65/2.56 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(v_y,sk0_91)),v_L)|~spl0_296),
% 16.65/2.56 inference(component_clause,[status(thm)],[f7866])).
% 16.65/2.56 fof(f7869,plain,(
% 16.65/2.56 pd0_7(v_y,sk0_91)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sk0_99(v_y,sk0_91)),v_L)|~spl0_45),
% 16.65/2.56 inference(resolution,[status(thm)],[f2212,f2746])).
% 16.65/2.56 fof(f7870,plain,(
% 16.65/2.56 spl0_43|spl0_296|~spl0_45),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7869,f2733,f7866,f2745])).
% 16.65/2.56 fof(f7875,plain,(
% 16.65/2.56 ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sk0_99(v_y,sk0_91),sk0_91),v_L)|~spl0_296|~spl0_27),
% 16.65/2.56 inference(resolution,[status(thm)],[f7867,f7378])).
% 16.65/2.56 fof(f7876,plain,(
% 16.65/2.56 ~spl0_67|~spl0_296|~spl0_27),
% 16.65/2.56 inference(split_clause,[status(thm)],[f7875,f3080,f7866,f2519])).
% 16.65/2.56 fof(f7881,plain,(
% 16.65/2.56 $false),
% 16.65/2.56 inference(sat_refutation,[status(thm)],[f2253,f2260,f2267,f2271,f2275,f2279,f2283,f2287,f2291,f2407,f2420,f2422,f2428,f2430,f2434,f2502,f2515,f2523,f2528,f2530,f2541,f2551,f2556,f2558,f2562,f2564,f2587,f2624,f2628,f2633,f2668,f2765,f2768,f2772,f2774,f2796,f2798,f2811,f2857,f3009,f3033,f3048,f3050,f3084,f3110,f3112,f3129,f3132,f3158,f3220,f3231,f3336,f3340,f3342,f3344,f3346,f3383,f3386,f3392,f3451,f3467,f3472,f3474,f3487,f3663,f3713,f3715,f3796,f3801,f3827,f3850,f3864,f3963,f4052,f4057,f4089,f4094,f4105,f4110,f4112,f4144,f4149,f4154,f4159,f4185,f4198,f4279,f4288,f4290,f4298,f4304,f4307,f4313,f4323,f4342,f4363,f4377,f4389,f4397,f4428,f4480,f4499,f4521,f4524,f4527,f4569,f4660,f4670,f4681,f4690,f4696,f4758,f4768,f4779,f4781,f4799,f4804,f4837,f4874,f4876,f4888,f4893,f4898,f4934,f4939,f4944,f4951,f4957,f5045,f5055,f5119,f5123,f5235,f5245,f5268,f5323,f5397,f5427,f5446,f5452,f5458,f5464,f5478,f5495,f5501,f5521,f5527,f5533,f5536,f5544,f5574,f5600,f5617,f5633,f5639,f5681,f5688,f5694,f5722,f5728,f5763,f5783,f5787,f5793,f5796,f5800,f5821,f5843,f5972,f5977,f5990,f6015,f6020,f6027,f6032,f6046,f6048,f6054,f6131,f6144,f6151,f6153,f6167,f6169,f6175,f6247,f6305,f6309,f6313,f6315,f6321,f6323,f6422,f6424,f6429,f6431,f6433,f6435,f6440,f6442,f6456,f6461,f6467,f6493,f6498,f6500,f6502,f6504,f6512,f6514,f6537,f6539,f6541,f6545,f6560,f6563,f6622,f6665,f6694,f6711,f6715,f6727,f6746,f6752,f6763,f6861,f6866,f6871,f6876,f6902,f6941,f6961,f6966,f6969,f7029,f7032,f7043,f7059,f7065,f7146,f7232,f7362,f7367,f7398,f7403,f7436,f7450,f7455,f7457,f7498,f7506,f7698,f7776,f7789,f7794,f7799,f7804,f7812,f7822,f7827,f7832,f7837,f7854,f7870,f7876])).
% 16.65/2.56 % SZS output end CNFRefutation for theBenchmark.p
% 16.65/2.57 % Elapsed time: 2.211591 seconds
% 16.65/2.57 % CPU time: 17.078969 seconds
% 16.65/2.57 % Total memory used: 251.033 MB
% 16.65/2.57 % Net memory used: 245.837 MB
%------------------------------------------------------------------------------